Specifically, I need the surface are which can be found by using this formula: S= Ph+2B

The quotient of 7.7 x 10^8 and 5.5 x 10^2 expressed in scientific notation is 1.4x10^6.

What is quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is used to describe the integer component of a division (when Euclidean division), as well as a fraction or a ratio (when proper division). A quotient in the second sense is only the proportion of a dividend to its divisor.

Lets calculate the quotient for the value given in question:

[tex]7.7 \times 10^8[/tex]

[tex]5.5 \times 10^2[/tex]

Now we divide the 7.7 by 5.5

[tex]\frac{7.7}{5.5} = 1.4[/tex]

we get value 1.4.

on dividing  [tex]\frac{10^8}{10^2}[/tex] we get, [tex]10^6[/tex]

Combining both the value, we get

quotient = [tex]1.4 \times 10^6[/tex]

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BD= 12

BC=7

Is this from a graded quiz?

The given expression is

Since sec is the opposite of cosine, then

Since the value of cos(3pi/2) is 0, then

Since 1/0 is an undefined value, then

The answer is undefined

Answer:

x-intercept is at (18, 0)

y-intercept is at (0, 360)

Based on the concept of multiplication, the amount of molecules consumption of water does a person drink in a year is 1.32 x 10²⁸.

Molecules:

A molecules is the group of two or more atoms linked together by sharing electrons in a chemical bond

Given,

There are about 6 x 10²⁴ molecules in a liter of water. it is estimated that a person drinks about 2.2 x 10³ liters of water a year.

Here we have to find the amount of molecules consumption of water does a person drink in a year.

To find the total amount of molecules consumption for the year we have to use the following formula,

Total molecules consumption per year = amount of water x molecules.

Here we know the values of the following,

Water consumption per year = 2.2 x 10³ liters

Molecules of one liter water = 6 x 10²⁴

Apply the values on the formula, then we get,

=> total molecules consumption = (2.2 x 10³) x (6 x 10²⁴)

=> (2.2 x 6) x (10³ x 10²⁴)

=> 13.2 x 10³⁺²⁴

=> 13.2 x ²⁷

It can be further simplified as,

=> 1.32 x 10²⁸

Therefore, the amount of molecules consumption of water does a person drink in a year is  1.32 x 10²⁸.

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One option is to use the distance formula.

In this case, this is what Julie would be working with:

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(x-w)^2+(y-z)^2}\\\\[/tex]

If Julie knew the values of x, y, w, and z, then she could find a numeric result for the distance (d).

Given:

Frank knows that his first four test grades were 74, 76, 77, and 84

We will find Frank's grade on the fifth test if his test average is 80.6.

So, let the fifth grade = x,

The average is the sum of the grades over the number of the grades

So,

Solve the expression to find x:

So, the answer will be: the fifth grade = 92

Step 1

The selection formula is;

Answer; 252 groups

The critical value of tα/2 for a 90% confidence interval for the sample size 15 is 1.761.

Given, sample size=15

Confidence interval= 90%.

To find the critical value we have to first find alpha, by subtracting 90 from 100.

= 100%-90%

=1-0.9

=0.1

α=0.1

α/2=0.05

Next, we have to find the degrees of freedom(df) by using the formula n-1.

=15-1

df=14

Calculate tα/2 by using t-distribution with degrees of freedom 14 and α/2 = 0.05 as right-tailed area.

From the table we get the critical value for tα/2 as 1.761.

Therefore, the critical value for a 90% confidence interval with sample size 15 is 1.761.

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We are asked to determine probabilities from a population of high school graduates. Let's remember that probability is defined as the quotient of desired events and the number of total events.

a) what is the probability that a 2001 graduate of City High School was accepted into college

To determine the probability we need to find the quotient of the number of students that were accepted into college and the total number of students. The total number of students accepted into college is 145 female plus 100 males, therefore, the probability is:

Therefore, the probability is 65.3%.

b)what is the probability that 2001 graduate of City high School was not a female

To do this we will use the fact that the sum of the probabilities that a student is a female plus the probability that the student is not a female must be equal to 1.

Therefore, solving for the probability that the student is not a female we get:

The probability that the student is female is the quotient between the number of female students and the total number of students, therefore:

Therefore, the probability that the student is not a female is 53.9%.

c) what is the probability that a 2001 graduate of City high School was accepted into college or male

To determine this probability we need to have into account that the probability of event A or event B happening is the sum of both probabilities minus the probability of both events happening at the same time, therefore:

Replacing the probabilities we get:

Solving the operations:

Therefore, the probability that a student is accepted or male is 91.6%

d) what is the probability of being a female given you were accepted into college.​

The probability of event A given event B is given by the following formula:

In this case, we have:

Replacing the probabilities:

Therefore, the probability is 60%.

For the new price to be 28% less than the original price then, therefore, the original price is definitely more than the new price

Let the original price be

the new price given is

It means that the percentage decrease is

The formula for percentage decrease is

By substitution, we will have

Therefore,

The original price = $775

The required sample size of the given estimate is 3030.65.

Given that,
The population standard deviation is approximately σ = 50.2. You would like to be 90% confident that your estimate is within 1.5 of the true population mean.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
For the 90% confidence the value of the z = 1.645
Now the sample size is given as,
n = [z × σ/1.5]²
Substitute values in the above equation,
n = [1.645×50.2/1.5]²
n = 3030.65

Thus, the required sample size of the given estimate is 3030.65.

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We are asked to express 952 in scientific notation

The scientific notation is given by

The number 952 has the decimal point at the end, so we move this decimal point to the left until there is only one digit is left (9 in this case) and then count the number of times we moved.

In this case, we moved 2 times so the exponent (power) is 2

The sign of exponent is positive when we move to the left (like in this case)

The sign of exponent is negative when we move to the right.

The translation of two units right of the graph of y = x is graphed at the end of the answer.

Translation is a transformation to the graph of a function or of a figure that keeps everything such as orientation and inclination stable, changing only the position of the graph.

The translations are movements to left, right, up or down, and each movement is represented as follows:

In this problem, the definition of the translation is given as follows:

y = f(x - 2).

Hence a = 2, and the function is shifted right 2 units.

Considering function y = x, the translated function is:

y = f(x - 2) = x - 2.

(each instance of x in the function is replaced by x - 2).

The graph of the two functions is shown at the end of the answer, which x - 2 being a shift right of 2 units of f(x).

The function is not given, hence we suppose that it is of y = x.

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Following the instructions provided, we shall use a graphing calculator (Desmos) to determine the equation of the circle shown by the "colorful people."

The first step is to determine the radius which we can observe from the circle itself, whose diameter spans from 0 units to 10 units along the x-axis. The radius therefore is 5 units (half of the diameter).

Observe also that the center has now moved away from the origin (0, 0), and if we move the slider very carefully for h, that would be 5 units away from the origin towards the right (along the x-axis), andk would be 7 units away from the origin) towards the bottom (along the y-axis).

After following these steps, we can replicate the circle given in the question and if we now substitute the values of h, k and r into the equation of a circle, we would end up with;

Answer:

when rounding the answer it shouldn't be the exact answer so add or multiply then once you find your product round it off and add a decimal

Let 'a' represent the unknown side of the triangle.

To solve for the unknown side, we will apply the Pythagoras theorem.

Let solve for cscθ

Let us solve for cosθ

Let us solve for tanθ

Answer: .25x + 75.00 = C(x)

Step-by-step explanation:

Given:-

To find the volume of cone.

So the volume formula for cone is,

Substituting we get,

So the required solution is 190.76

Answer: B.

Step-by-step explanation: First, you find the difference between 2 and 5  =( 3 ), and 54 and 45 ( -9 ). Meaning the unit rate is -3. (-9/3 = -3)

The difference between 12:00 am and 2:00 am is 2 hours meaning 2 x 3 is 6. 54 + 6 = 60 meaning at 12:00 am it was 60 degrees Fahrenheit.

In order to calculate the area of carpet needed to cover the entire floor, we just need to calculate the area of the room.

The area of a rectagle is calculated by the product of its dimensions, so we have:

So the area of carpet needed is 132 square feet.

The equation of the line whose slope is 1/6 passing through the point (-9, 3) is -x - 6y - 27 = 0

To determine a line's inclination or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.

Given slope of equation m =[tex]\frac{1}{6}[/tex]

A point on line (x₁,y₁) = (-9,3)

(y-y₁)= m (x-x₁)

(y-3) = [tex]\frac{1}{6}[/tex] ( x − (-9))

y-3= [tex]\frac{1}{6}[/tex] (x+9)

6(y-3) = x+9

6y - 18 = x +9

-x - 6y - 27 = 0

This is the equation of line

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The required solution of the inequality on  the number line is represented as x>20 .

Any monotonically rising function can, by definition, be applied to both sides of an inequality without destroying the inequality connection (provided that both of the expressions are in the domain of that function).

–3(2x – 5) < 5(2 – x)

-6x+30 < 10-5x

-6x+5x<-20

-x<-20

x>20 (x∈R)

The inequality relation is flipped when a monotonically decreasing function is applied to both sides of an inequality. In the equations for the adding inverse and multiple inverse for positive numbers, a monotonically decaying function is utilized.

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No solution

y = 4x + 5

y = 4x - 2

Solving algebraically:

equate both equations

y = y

4x + 5 = 4x - 2

collect like terms:

4x - 4x = - 2 - 5

0 = -7

When the right hand side is not the same as the left hand side equation, it is a no solution.

Their intersection point gives no solution

f(x) = 5x - 7

g(x) = -2x + 9

g(f(x)) = -2(5x -7) + 9 = -10x + 14 + 9 = -10x + 23

g(f(x)) = -10x + 23

Answer:

Option A: -10x + 23

Answer:

  ∡BOA ≅ ∡DOC

Step-by-step explanation:

Given a circle O with congruent chords BA and DC, you want the relation between angles BOA and DOC.

All of the radii of circle O are congruent. That means BO≅AO≅DO≅CO. The chords BA and DC are marked as congruent. This means ∆BOA and ∆DOC are congruent by the SSS postulate.

Corresponding parts of congruent triangles are congruent, so ...

  ∡BOA ≅ ∡DOC

Answer:

y = 24x + 17 20

Step-by-step explanation:

Firstly, let's say that 153 and 17 are both the y-intercepts of their respective equations, while 22 and 24 are the slope. With this we can create the following set of equations:

y = 24x + 17

y = 22x + 153

So your answer would be y = 24x + 17

Now let's find the sales answer!

Since we know that Ida made 4 more sales than Wade this week, we could say:

y = 24(x+4) + 17

y = 22x + 153

Now since we know that they earned the same amount we can do the following:

24(x+4) + 17 = 22x + 153

Simplify...

24x + 96 + 17 = 22x + 153

Simplify again:

24x + 113 = 22x + 153

subtract 22x and 113 from both sides...

2x = 40

Then:

x = 20

So this means that Wade made 20 sales this week!

So let's check if we are right:

Now that we know that x = 20, we need to plug it into Wade's equation!

y = 22(20) + 153

y = 440 + 153

y = 593

Wade made $593 this week!

To check if we are right, let's plug it into Ida's equation:

y = 24x + 113

y = 24(20) + 113

y = 480 +113

y = 593

Ida also made $593 this week!

MEANING we are right!

I hope I helped :P

The age of Maggie is 9 years and her brother whose age 3 years less than four times Maggie's age is 33 years old.

What is age?

Age is the difference in days, months, and years between the day, month, and year of birth and the day, month, and year of the event, expressed in the largest completed unit of solar time, such as years for adults and children and months, weeks, days, hours, or minutes of life, as appropriate, for infants under one year of age (Gregorian calendar).

Let the ages of Maggie and her brother be X and Y.

There are two condition given in the question through which we can form a system of equation containing two equations.

First condition: The sum of their ages is 42.

Therefore,

X + Y = 42

Second Condition: Maggie's brother is 3 years younger than four times her age.

Therefore,

4X - 3 = Y

We get the system of equation:

X + Y = 42

4X - 3 = Y

Solving this system of equation

4X - 3 = Y

4X - 3 = 42 - X

X = 45/5

X = 9

Putting the value of X in one of the equation:

Y = 42 - X

Y = 42 - 9

Y = 33

Therefore, age of Maggie is 9 years and age of her brother is 33 years.

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