Gordon types 2,240 words in 8 minutes.Find the unit rate .



Pls someone help and explain

Answers

Answer 1

Answer:

Gordon types 280 words per minute

Step-by-step explanation:

2240word/8min

280/min is the same as 4.6/second (280/60)

Answer 2
280 words per minute

Related Questions

What is the nature of the roots of x2 6x 9 0?

Answers

The value of the Discriminant is 0 so we have equal roots  = b/2a = 6/2 = 3

The given equation is a quadratic equation.

x^2+6x+9 = 0.

To tell the nature of the roots we have to understand how to find the root of a quadratic equation.

The roots of a quadratic equation are the values of the variables that fulfil the equation. In other words, if f(α) = 0, then x = α is a root of the quadratic equation f(x).

The term Discriminant is used in quadratic equations.

The discriminant of a quadratic equation is the expression [tex](b^2 - 4ac)[/tex] in the quadratic formula. A quadratic equation's discriminant shows the nature of roots.

Discriminant important thing is that it is used to find the nature of roots.

x^2+6x+9 = 0. a =1, b = 6, c=9

discriminant d = b^2 - 4*a*c = 36-4*1*9 = 36-36 = 0

So the value of the discriminant is 0 so we have equal roots  = b/2a = 6/2 = 3

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Convert 140 kilograms to pounds. (1 kilogram = 2.204 pounds)

310.76 pounds
308.56 pounds
63.52 pounds
15.74 pounds

Answers

You would multiply 140 by 2.204 which would give you the answer which is 308.56 pounds.

Converting 140 kilograms to pounds is: 308.56 pounds.

Here, we have,

given that,

Convert 140 kilograms to pounds.

now, we know that,

1 kilogram = 2.204 pounds

so, we get,

we would multiply 140 by 2.204

i.e.

140 × 2.204 = 308.56

which would give the answer which is 308.56 pounds.

Hence, Converting 140 kilograms to pounds is: 308.56 pounds.

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What do Total Productive Maintenance (TPM) practices ensure? Select an answer: O equipment availability is minimized
O machines do not break down so often O scheduled maintenance is not necessary O equipment downtime is maximized

Answers

Total Productive Maintenance (TPM) practices ensure D. equipment downtime is maximized

What is Total Productive Maintenance?

According to TPM, operators are in charge of sanitizing, enhancing, and maintaining their workstations to guarantee quality and safety throughout production cycles. The objective of TPM is to maintain equipment in top working order to ensure that production processes go without hiccups or delays.

Through the optimization of equipment availability and performance, TPM seeks to increase overall productivity and quality. The 5S methodology, a method of workforce organization that aids in streamlining and standardizing facility procedures, is the foundation on which TPM is based.

Therefore, the correct option is D.

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A model rocket is shot upward at a rate of 230 ft/sec. The height of the rocket, in feet, after t seconds
is given by the formula h=16t² + 230t. Answer the following question and round to the nearest tenth where applicable. Be sure to show all of your algebraic work and formulas.

When will the rocket reach its highest point?

Answers

Answer:

Step-by-step explanation:

given the formula

[tex]h(t)=16t^{2}+230t[/tex]

Find the axis of symmetry

[tex]t=\frac{-b}{2a}[/tex]

Notice the function is of the form

[tex]h(t)=at^{2}+bt[/tex]

where

[tex]a=16, b=230[/tex]

To find the time at which the rocket reached its highest point, use the formula for the axis of symmetry. Substitute 16 for a and 230 for b. This gives you,

[tex]t=\frac{-(230)}{2(16)}[/tex]

simplify the arithmetic expression..

[tex]t=\frac{-230}{32}[/tex]

[tex]t[/tex]≈-7.2 seconds

I THINK the answer should be -7.2 seconds but I do not know how this would really play into the problem being that seconds should be positive, not negative... hope this helps!

Drag each intermediary to its correct definition. Disintermediation Reintermediation Intermediaries Cybermediation Agents, software, or businesses that provide a trading infrastructure to bring buyers and sellers together Occurs when a business sells directly to the customer online and cuts out the intermediary Steps are added to the value chain as new players find ways to add value to the business process The creation of new kinds of intermediaries that simply could not have existed before the advent of ebusiness

Answers

Answer:

its provide cretion nt exit e business to advet

The acceleration of segment d is m/s2. rank segments a, b, and c from least acceleration to greatest acceleration. least: greatest:

Answers

Calculating acceleration involves dividing the change in velocity by the change in time.. The equation is a = (v-u)/t, where a is acceleration, v is the final velocity, u is the initial velocity, and t is the time.

Acceleration is the rate of change in velocity over time. To calculate acceleration, you need to know the initial velocity (u), the final velocity (v), and the time (t) of the motion. The formula for calculating acceleration is a = (v-u)/t. To use this formula, subtract the initial velocity from the final velocity and divide by the time. This will give you the acceleration. For example, if the initial velocity is 10 m/s, the final velocity is 20 m/s, and the time is 2s, then the acceleration is (20-10)/2 = 10 m/s2. This means that the velocity has increased by 10 m/s every second.If the initial velocity is 10 m/s, the final velocity is 20 m/s, and the time is 2s, then the acceleration is (20-10)/2 = 10 m/s2.

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Answer:

1st Q: -20

2nd Q: C,B,A

Step-by-step explanation:

Its correct

What is the value of x in the sequence 20 10 10 15 30 75 x?

Answers

The value of x in the given sequence is found as 225.

Explain the term sequence?A list containing numbers in a specific order is called a sequence. A term is the name given to each number in such a sequence. A sequence has a place for each phrase (first, second, third and so on). The length of a sequence is the number of arranged elements (potentially infinite).

20/2 = 10     (0.5)

10x10 = 1      (1)

10x1.5 = 15    (1.5)

15x2 = 30     (2)

30x2.5 = 75   (2.5)

There is an increase of 0.5 in each term and then multiplies it with the previous term.

So,

{ 2.5 + 0.5 = 3 }

75x3 = 225    (3)

Thus, the value of the x in the given sequence is found as 225.

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Solve pls brainliest

Answers

I don't see the picture. Can you send it in the message.

How do you solve 3 simultaneous equations using elimination?

Answers

Answer:

Write all the equations in standard form cleared of decimals or fractions.Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.

Step-by-step explanation:

Which grapgh represents this system of inequalitys
y≤x +4
2x+y ≤-4

Answers

Answer:B

Step-by-step explanation:

Which graph represents the solution set of the system of inequalities? {y>−2x−2y≤x+4 A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair negative 0.5 comma negative 1 end ordered pair, begin ordered pair negative 1 comma 0 end ordered pair and begin ordered pair 0 comma negative 2 end ordered pair. A solid line passes through begin ordered pair negative 0.5 comma negative 1 end ordered pair, begin ordered pair 0 comma 1 end ordered pair and begin ordered pair negative 1 comma negative 3 end ordered pair. The region below the dashed line and above the solid line is shaded. A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A da

If truth values of p be F and q be T. Then, truth value of ∼(∼p∨q) is
a. T
b. E
c. Either T or F
d. Neither T not F

Answers

If truth values of p be F and q be T. Then, truth value of ∼(∼p∨q) is F.

Describe truth value.

A proposition's characteristic indicating whether it is true or false is the definition of a truth value. For instance, the truth value for "7 is odd" is true and can be represented by the letter T. "1 + 1 = 3" has a false truth value, which can be represented by the letter F. Truth is crucial. People's plans can be ruined and their lives could be in danger if they believe something that is false. Legal and societal repercussions may occur from telling lies. The excellent historian, good investigator, and good scientist, on the other hand, are committed to the search of truth.

Given

If truth values of p be F and q be T. Then, truth value of ∼(∼p∨q) is

b. F

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Bones brothers & associates prepare individual tax returns. Over prior years, bones brothers has maintained careful records regarding the time to prepare a return. The mean time to prepare a return is 90 minutes, and the population standard deviation of this distribution is 15 minutes. Suppose 100 returns from this year are selected and analyzed regarding the preparation time. What is the probability that the mean time for the sample of 100 returns for this year is greater than 92?.

Answers

The probability that the mean time for the sample of 100 returns for this year is greater than 92 is 0.0764.

The term probability in math refers the possibility of occurring the event.

Here we have given that Bones brothers & associates prepare individual tax returns. Over prior years, bones brothers has maintained careful records regarding the time to prepare a return.

And we need to find the probability that the mean time for the sample of 100 returns for this year is greater than 92

As per the given question, we know the following values,

=> mean,μ=90

=> population standard deviation,σ=14

=> sample size ,n=100

Then the standard error is 1.4

Therefore, the z value is obtained by the z table is 0.9236.

Then the resulting probability is calculated.

=> 1 - 0.9236

=> 0.0764

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How do you prove two triangles are similar using transformations?

Answers

To see if the two triangles are similar, you first have to get them both in the same direction. You do this by rotating (turning) one shape to align with the other. Such a transformation is called a rotation.

Geometry transformations are movements of two-dimensional shapes in two dimensions, or within their plane. Like restricted game pieces on a game board, you can move two-dimensional shapes in only three ways:

Rotation -- Shapes are rotated or turned around an axisReflection -- Shapes are flipped across an imaginary line to make mirror imagesTranslation -- Shapes are slid across the plane

Transform one of the triangles such that the orientation of the triangles is the same.

Identify the corresponding sides of the triangles and write each set of corresponding sides as a ratio. If the ratios of the side lengths are the same for all 3 sides, then the triangles are similar.

Hence, by performing two rigid motions, we can prove the congruence between these two triangles. Now once the triangles are superimposed, we can identify the corresponding parts by checking which side and angle of the initial triangle is superimposed on the transformed triangle.

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i need help with these

Answers

1. Your shooting percentage was 60%.

2. Your friend made 24 shots.

3. Hi Lowe's shooting percentage was 71%.

4. Julie Shootsalott made 17 shots.

5. Swish Malone's shooting percentage was 89%.

6. Slammin' Sammy made 19 shots.

7. Lightning Lizzy's shooting percentage was 94%.

8. The team's shooting percentage was 65%.

1. To calculate the shooting percentage,

divide the number of shots made (i.e..12) by the total number of shots taken(i.e.20)

                             12/20 = 0.6

Multiply this by 100 to get the percentage, which is 60%.

2. To calculate no. of shots,

multiply the shooting percentage (i.e.60%) by the total number of shots taken (i.e.40)

                                0.6 x 40 = 24

3. To calculate Hi Lowe's shooting percentage,

divide the number of shots made (i.e.25) by the total number of photos taken (i.e.35).

                                      25/35 = 0.714

Multiply this by 100 to get the percentage,

which is 71.4%

4. To calculate Julie Shootsalott's shots,

multiply the shooting percentage (34%) by the total number of shots taken (50).

                                              0.34 x 50 = 17

5. Swish Malone's shooting percentage was 89.3%. To calculate this, divide the number of shots made (i.e.25) by the total number of photos taken (i.e.28).

                                             25/28 = 0.893

Multiply this by 100 to get the percentage,

which is 89.3%

6. To calculate Slammin' Sammy shots,  

multiply the shooting percentage (i.e.95%) by the total number of shots taken (i.e.20)

                                                0.95 x 20 = 19

7. To calculate Lightning Lizzy's shooting percentage,

divide the number of shots made (i.e.34) by the total number of shots taken (i,e,36)

                                                   34/36 = 0.944

Multiply this by 100 to get the percentage,

which is 94.4%

8. To calculate The team's shooting percentage,

divide the number of shots made (i.e.44) by the total number of shots taken (i.e.68). 44/68 = 0.647

Multiply this by 100 to get the percentage,

which is 64.7%.

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The question is in the picture.I’ll mark Brainliest!

Answers

I don't see the picture. Can you send it in the message.

Determine whether each figure has rotational symmetry.
If so, determine the angle of rotation.

Answers

A. Yes 120degrees
B. No
C. Yes 45degrees
D. Yes 180 degrees
E. Yes 90degrees
F. Yes 22.5degrees

If a train leaves New York at 10am (est) going 90mph and a train leaves Los Angeles at 8am (pst) going 60 mph, at what time will the trains meet if the total distance is 3000 miles?

Answers

Answer:

Therefore for this distance combined speed is to be taken. Time taken to cover 2800 miles = 2800/(60+40) = 28 hours.

Step-by-step explanation:

We can assume that B leaves Los Angeles not at noon but at 2pm Eastern Time, so 5 hours later than A leaves New York.

In 5 hours A covers 5*40=200 miles. So, A and B together should cover 3,000-200=2,800 miles.

Combined rate = 40 + 60 = 100 miles per hour.

To cover 2,800 miles they'll need 2,800/100=28 hours.

2pm Eastern Time on Monday + 28 hours = 6pm Eastern Time on Tuesday

How to solve 997 1 ⁄ 3?

Answers

The value of the given mixed fraction 997 1 / 3 is equal to 2992 / 3.

As given in the question,

Given expression is equal to,

997 1 / 3

Simplify the mixed fraction using following method in standard form :

Q R / D = [ (  D × Q ) + R ] / D

In the  numerator multiply divisor (D) to the quotient (Q) and add it to the remainder (R).

Denominator of the expression remain same.

Here  Q = 997 , R = 1 and D = 3

Substitute the value in the formula we get,

997  1 / 3

= [ ( 3 × 997 ) + 1 ] / 3

= ( 2991 + 1 ) / 3

= 2992 / 3

Therefore, the value of the given mixed fraction is equal to 2992 / 3.

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Is 2 a factor of 36?

Answers

The factors of the number 36 will be 2, 2, 3, and 3. So, yes, 2 is the factor of 36.

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The number is given below.

⇒ 36

The factor of the number 36 is given below.

36 = 2 x 2 x 3 x 3

The factors of the number 36 will be 2, 2, 3, and 3. So, yes, 2 is the factor of 36.

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Please help I will give brainliest

Answers

Answer:

1. ∠YZX = 37°

2. ∠YXZ = 53°

3. XZ = 30 meters

Step-by-step explanation:

1. To solve for an unknown angle, we need to utilize the inverse of a trigonometric function.

⭐What are the inverses of the trigonometric functions?

[tex]sin^-1 (opposite/hypotenuse)[/tex][tex]cos^-1 (adjacent/hypotenuse)[/tex][tex]tan^-1(opposite/adjacent)[/tex]

To know which inverse of the trigonometric functions we use, we have to see the type of side lengths we are given (opposite, adjacent, or hypotenuse)

We are given side length XY, which is opposite of ∠YZX, and we are given side length YZ, which is adjacent to ∠YZX. Therefore, we will use [tex]tan^-1 (opposite/adjacent) =[/tex]

Substitute the values we are given into the function:

[tex]tan^-1 (18/24) =[/tex]

Compute this equation using a scientific calculator. I recommend using the Desmos Scientific Calculator:

[tex]= 37[/tex]

∠YZX = 37°

2. We already know 2 angles (∠YZX = 37°, and ∠ZYX = 90°) Therefore, to find ∠YXZ, we have to utilize the triangle sum theorem.

⭐ What is the triangle sum theorem?

[tex]angle_1 + angle_2 +angle_3 = 180[/tex]The sum of all angles in a triangle is 180°

Substitute the angles we know already (∠YZX and ∠ZYX), and solve for ∠YXZ.

[tex]< YZX + < ZYX + < YXZ = 180[/tex]

[tex]37 + 90 + YXZ = 180[/tex]

[tex]127 + YXZ = 180[/tex]

[tex]< YXZ = 53[/tex]

∠YXZ = 53°

3. We already know 2 side lengths (ZY = 24 meters, and XY = 18). Therefore, to find XZ, we have to utilize the Pythagoras' theorem.

⭐ What is the Pythagoras' theorem?

[tex](C)^2 = (A)^2 + (B)^2[/tex]C is the hypotenuse of the triangle, A is a leg of the triangle, and B is another leg of the trianglePythagoras' theorem can only be used on right triangles

Substitute the values of the side lengths into the formula:

[tex](XZ)^2 = (XY)^2 + (ZY)^2[/tex]

[tex](XZ)^2 = 18^2 + 24^2[/tex]

Solve for XZ:

[tex](XZ)^2 = 324 + 576[/tex]

[tex](XZ)^2 = 900[/tex]

[tex]\sqrt{(XZ)^2} = \sqrt{900}[/tex]

[tex]XZ = 30[/tex]

∴ XZ = 30 meters

Who invented 0 number?

Answers

There are several hypotheses regarding how 0 was created. The idea of utilising 0 as a numeric value is thought to have originated in India. According to legend, Aryabhatta invented zero by using it as a placeholder number in the fifth century.

However, the idea of zero was not always present. Although the idea of nothingness or emptiness existed, applying it numerically had a profound effect on mathematics. The principles for zero were laid forth by Brahmagupta in the seventh century.

In America, the Mayans developed the idea of zero as a placeholder in the 4th century. But though being skilled in mathematics, they never thought the idea of using it in equations.

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A rectangle of the same size is divided by 5 squares in length and 4 in bredth. The measure of the sides of these smaller squares is an integer. One of the following numbers cannot be the perimeter of the rectangle. Which one?

A. 261
B.270
C.918
D.1782
E.2016

Please help me with the explanation!

Answers

Answer: 270 is the answer

Step-by-step explanation:

What are asymptotes example?

Answers

An asymptote is a line that a curve approaches but never touches. There are two types of asymptotes: horizontal and vertical. Few examples of asymptotes are f(x) = 1/x, f(x) = 1/x² + 1 and f(x) = 1/(x-3).

Here are some examples of functions with horizontal asymptotes:

The function f(x) = 1/x has a horizontal asymptote at y = 0.

f(x) = 1/x

As x gets larger and larger, the value of the function approaches 0, but never quite reaches it. This means that the horizontal line y = 0 is an asymptote for the function f(x) = 1/x.

The function f(x) = 1/x² + 1 has a horizontal asymptote at y = 1.

f(x) = 1/x² + 1

As x gets larger and larger, the value of the function approaches 1, but never quite reaches it. This means that the horizontal line y = 1 is an asymptote for the function f(x) = 1/x² + 1.

Here is an example of a function with a vertical asymptote:

The function f(x) = 1/(x-3) has a vertical asymptote at x = 3.

f(x) = 1/(x-3)

As x gets closer and closer to 3, the value of the function approaches infinity, but never quite reaches it. This means that the vertical line x = 3 is an asymptote for the function f(x) = 1/(x-3).

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answer for the page? ​

Answers

Answer:

(9) x = 9

(10) I cannot see the image clearly, sorry :(

(11) x = 54

(12) I cannot see the image clearly, sorry :(

(13) ∠P = 64°

(14) ∠Q = 26°

(15) ∠U = 47°

(16) ∠W = 43°

Step-by-step explanation:

(9)

To find an unknown side length in a right triangle, we need to use a trigonometric function.

What is a trigonometric function?

A trigonometric function is the ratio of two side lengths for a certain angle, where one of the side lengths is unknown and denoted by a variable (x)

What are the trigonometric functions?

sin(θ) = opposite/hypotenusecos(θ) = adjacent/hypotenusetan(θ) = opposite/adjacentθ = an angle measure that isn't the 90 degrees angle.

To determine which trigonometric function to use, we need to see which type of side lengths we are given (hypotenuse/opposite/adjacent).

We are given side length x, which is opposite of the 37 degrees, and side length 15, which is the hypotenuse of the triangle. Therefore, we will use sin(θ).

Substitute the angle measure we are given and the side lengths into sin(θ).

[tex]sin(37) = \frac{x}{15}[/tex]

[tex]15sin(37) = x[/tex]

Compute this equation into a scientific calculator. I recommend using the Desmos Scientific Calculator.

[tex]9.0 = x[/tex]

(10) I'd need to see x clearly to solve.

(11) To find an unknown side length in a right triangle, we need to use a trigonometric function.

What is a trigonometric function?

A trigonometric function is the ratio of two side lengths for a certain angle, where one of the side lengths is unknown and denoted by a variable (x)

What are the trigonometric functions?

sin(θ) = opposite/hypotenusecos(θ) = adjacent/hypotenusetan(θ) = opposite/adjacentθ = an angle measure that isn't the 90 degrees angle.

To determine which trigonometric function to use, we need to see which type of side lengths we are given (hypotenuse/opposite/adjacent).

We are given side length x, which is the hypotenuse of the triangle, and side length 14, which is adjacent to the 75 degrees. Therefore, we will use cos(θ).

Substitute the angle measure we are given and the side lengths into cos(θ).

[tex]cos(75) = \frac{14}{x}[/tex]

[tex]\frac{14}{cos(75)} = x[/tex]

Compute this equation into a scientific calculator. I recommend using the Desmos Scientific Calculator.

[tex]54 = x[/tex]

(12) I'd need to see x clearly to solve.

(13) To find the angle measure of an angle in a right angle triangle, we need to use the inverses of the trigonometric functions.

What are the inverses of the trigonometric functions?

[tex]sin^-1(opposite/hypotenuse) =[/tex][tex]cos^-1(adjacent/hypotenuse) =[/tex][tex]tan^-1(opposite/adjacent)[/tex]

First, we need to see the type of side lengths we are given (adjacent/hypotenuse/opposite) to determine which inverse trigonometric function we use for each angle.

∠P is adjacent to side length 8, and side length 18 is the hypotenuse of the triangle. Therefore, we will use [tex]cos^-1(adjacent/hypotenuse) =[/tex].

Substitute the side lengths and compute using a scientific calculator. I recommend using the Desmos Scientific Calculator.

[tex]cos^-1(\frac{8}{18})[/tex]

∴ ∠P = 64°

(14) To find the angle measure of an angle in a right angle triangle, we need to use the inverses of the trigonometric functions.

∠Q is opposite of side length 8, and side length 18 is the hypotenuse of the triangle. Therefore, we will use [tex]sin^-1(opposite/hypotenuse) =[/tex].

Substitute the side lengths and compute using a scientific calculator.

[tex]sin^-1(\frac{8}{18})[/tex]

∴ ∠Q = 26°

(15) To find the angle measure of an angle in a right angle triangle, we need to use the inverses of the trigonometric functions.

∠U is opposite of side length 11, and side length 15 is the hypotenuse of the triangle. Therefore, we will use [tex]sin^-1(opposite/hypotenuse) =[/tex].

Substitute the side lengths and compute using a scientific calculator.

[tex]sin^-1(\frac{11}{15})[/tex]

∴ ∠Q = 47°

(16) To find the angle measure of an angle in a right angle triangle, we need to use the inverses of the trigonometric functions.

∠W is adjacent to side length 11, and side length 15 is the hypotenuse of the triangle. Therefore, we will use [tex]cos^-1(adjacent/hypotenuse) =[/tex].

Substitute the side lengths and compute using a scientific calculator.

[tex]cos^-1(\frac{11}{15})[/tex]

∴ ∠W = 43°

Please describe what the absolute value inequality | x-0 |

Answers

Description: An absolute value inequality is an expression with absolute functions as well as inequality signs.

Example: The expression |x + 3| > 1 is an absolute value inequality containing a greater than symbol. There are four different inequality symbols to choose from.

How do you calculate full height in Class 8?

Answers

Due to the closing of a growth plates in bones, the majority of people's height would not increase after the ages of 18 to 20. The average human height is about 6 feet, but some individuals can reach heights of more than 9 feet.

What is termed as the full height of a person?

Your height varies slightly throughout the day as a result of the decompression and compression of a discs in your spine.

Adolescence is the stage of development when the body goes through changes that prepare it for sexual maturity. Adolescence typically starts at age 11 and lasts until age 18 or 19. Because they range in age from 13 to 18 or 19 years old, adolescents are sometimes referred to as teenagers. •Puberty: The stage of adolescence during which teenage sexual maturation and childbearing potential occur.

Thus, the formula for finding the height is -

Full height = Present height/% of full height at present x 100

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Solve the IVPs by the Laplace transform. If necessary, use partial fraction expansion as in Example 4 of the text: Show all details. 1. Y’ + 5. 2y = 19. 4 sin 2t, y(0) = 0 2. Y’ + 2y = 0, y(0) = 1. 5 3. Y" – y’ + 6y = 0, y(0) = 11, y’(0) = 28 4. Y" + 9y = I0e^(-t) y(0) = 0, Y’(0) = 0 5. Y" – 1/4y = 0, y(0) = 12, Y’(0) = 0 6. Y" - 6y’ + 5y = 29 cos 2t, y(0) 3. 2 Y’(0) = 6. 2 7. Y" + 7y' + 12y = 21e^3t, y(0) 3. 5 y’(0) = -10 8. Y" - 4y' + 4y = 0, y(0) 8. 1, y’(0) = 3. 9 9. Y" - 4y' + 3y = 6t - 8, y(0) = 0, y’(0) = 0 10. Y" + 0. 04y = 0. 02t^2 y(0)=-25, y’(0)=0

Answers

y(t)= 3/5[tex]e^{-5.2}[/tex]-3/5esin2t-9/5sin2t when the IVP's is y'+5.2y=19.4sin2t, and y(0)=0 by Laplace transform and partial fraction.

Given that,

We have to solve the IVP's by the Laplace transform.

If necessary we have to use partial fraction expansion for y'+5.2y=19.4sin2t, and y(0)=0

We know that,

y'+5.2y=19.4sin2t, and y(0)=0

L(y(t))= y(s)

L(y'(t)) = sy(s) and

L(sin2t) = s/s²+4    ------->equation(1)

Thus if we take Laplace transform on both sides of the given equation

L(y'+5.2y)=L(19.4sin2t)

sy(s)-y(0)+5.2y(s) = 19.4L(sin2t)

y(s)[s+5.2]=19.4[s/s²+4]          (from equation(1))

y(s)= 19.4[s/(s²+4)(s+5.2)]  

Breaking left hand side into partial precautions,

y(s) = 3/5(1/s+5.2)-3/5(s/s²+4)-9/5(s/s²+4)

Taking inverse Laplace transform on both sides,

So,

y(t)= 3/5[tex]e^{-5.2}[/tex]-3/5esin2t-9/5sin2t

Therefore, y(t)= 3/5[tex]e^{-5.2}[/tex]-3/5esin2t-9/5sin2t when the IVP's is y'+5.2y=19.4sin2t, and y(0)=0 by Laplace transform and partial fraction.

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PLEASE I REALLY NEED HELP THE BRAINLIST ANSWER WILL GET MARKED!!!!
Students in a class were asked to tell their favorite color.
a. What percent said red, blue, or yellow?
__ % said red, blue, or yellow.
b. How many times more students said red than yellow? __ times more students said red than yellow.
c. Use two methods to find the percent of students who said green. green: __%

Which method do you prefer? Explain.

Answers

Answer: a = 70%

b 6.5 times

c  green = 16%

2.  ?????  Very poorly worded question

2. a 54%

b. 46%

c. 70%

d.  27%

Step-by-step explanation:

Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.  

red is .26

blue is .40

yellow is .04

---------------------

               .70   = 70 %

b. How many times more students said red than yellow?

red  .26

yellow is .04

.26/.04 =  6.5 times

c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+     40 +     4           + 14     +  green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.

If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

FOR 100 POINTS AND BRAINLIEST HURRTRRRRYYY
The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.

What was the previous water level?

Drag and drop a value into the box to correctly complete the statement

answer choices-
-18.5
-9.9
-4.9
-4.3

Answers

The previous water level is -9.9 feet. The correct option is B.

What is an expression?

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols.

The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression. They can also denote the operation order and other properties of the logical syntax.

Given that after a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.

The previous water level is calculated as,

1/2 ( x + 2.5 ) = -3.7

x + 2.5 = -7.4

x  = -7.4 - 2.5

x = -9.9

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Step-by-step explanation:

Let's solve this problem step by step. The current water level is -3.7 feet, which is 1/2 times 2.5 feet more than the previous water level. Let's call the previous water level "x".

So, we can write an equation to represent this relationship:

-3.7 = x + (1/2) * 2.5

Now, let's solve for x:

-3.7 = x + 1.25

x = -3.7 - 1.25

x = -4.95

So, the previous water level was **-4.95 feet**.

Out of the answer choices you provided, the closest value to the correct answer is **-4.9**.

PLEASE MARK AS BRAINLIEST

What is null set in math grade 7?

Answers

A null set is a set that contains no elements in mathematics, that is it is empty. It is also called empty set or void set.

It is denoted by the Greek letter Ф (phi). It is expressed as {}.

A null set is formed by intersection of two disjoint sets. For example, a set of odd numbers, say A = {1, 3, 5, ...} and set of even numbers say B = {0, 2, 4, ...}. A set of number of both odd and even is a null set as these sets A and B doesnt have any element in common, that is they are disjoint set.

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