How do i solve this one

How Do I Solve This One

Answers

Answer 1

Answer:

900π

Step-by-step explanation:

Hello!

Radius

The radius is represented by the function [tex]r(t) = 15\sqrt{t +2}[/tex].

The radius of the ripple can be found when [tex]t=2[/tex]

Solve:

[tex]r(t) = 15\sqrt{t + 2[/tex][tex]r(2) = 15\sqrt{2 +2}[/tex][tex]r(2) = 15\sqrt4[/tex][tex]r(2) = 15*2[/tex][tex]r(2) = 30[/tex]

The radius of the ripple is 30 inches

Area

The area of a circle is calculated by the formula [tex]A = \pi r ^2[/tex]

Given the radius is 30, we can find the area of the circle.

Solve:

[tex]A = \pi r^2[/tex][tex]A = \pi (30^2)[/tex][tex]A = 900\pi\\[/tex]

Related Questions

Factor the polynomial using the greatest common factor.
x^2+3x

Answers

x²+3x

= x×x+3×x

= x(x+3)

El parámetro a de una distribución exponencial cumple que
Pregunta 7 opciones:

a = 0

a < 0

a ≥ 0

a > 0

Answers

The parameters of an Exponential Distribution is D. a > 0

What is an Exponential Distribution?

This refers to the distribution of probability with respects to time taken in a Poisson point process.

Hence, we can see that from the previous knowledge of exponential distributions, it is stated that λ > 0 is the parameter of the distribution, and is supported on the interval [0, ∞).

Therefore, option D is correct.

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6. Dana measured the height of her
bedroom wall to be 3 yards tall. Which of
these is closest to the equivalent
measurement?

Answers

Answer:

9 feet, 108 inches, 274.32 cm, 2.7432 meters

Step-by-step explanation:

Not enough information is given to answer.

You didn't provide the list of "these" to choose from, but I can just list some potential answers I could see being an option.

3 yards = 9 feet [1 yard = 3 feet. 3 yards = 9 feet]

             9 feet is also 108 inches [1 foot = 12 inches. 9 feet = 108 inches]

3 yards = 108 inches

{There are 91.44 cm in a yard} (1 yard = 91.44 cm. 3 yards = 274.32 cm),

3 yards = 274.32 cm

3 yards = 2.7432 meters (1 yard = 0.9144 meters; 3 yards = 2.7432 meters)

The next model of a sports car will cost 11.8% more than the current model The current model costs 37,000.How much will the price increase in dollars?What will be the price of the next model
$0
$0
?

Answers

Answer:

436.6

Step-by-step explanation:

3700×0.118=436.6

it will cost 436$ more and the next price will be 37436$

EASY POINTS Find the domain of the graphed function.

Answers

Using it's concept, it is found that the domain of the graphed function is given as follows:

D. [tex]-4 \leq x \leq 2[/tex]

What is the domain of a function?

It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this graph, x assumes values between -4 and 2, inclusive due to the closed circle, hence the domain is given by:

D. [tex]-4 \leq x \leq 2[/tex]

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Triangles 3 and 4 are identical. They are joined in the poster to form a square. Construct a math argument to show why triangles 3 and 4 are isosceles right angles.

Answers

Triangles 3 and 4 are isosceles right angles because they have same length.

How to explain the triangle?

It should be noted be noted that the square has all right angles equal. The largest angle of the triangle is the right angle m.

Here, the triangles are isosceles right angles as both the legs and the acute angles are congruent.

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12 to 30 Express as a fraction in the lowest terms? ​

Answers

Answer:

2/5

Step-by-step explanation:

9. A computer chip manufacturer knows that 72% of the chips produced are defective.
Suppose 3000 chips are produced every hour, what is the probability that exactly 800
chips are acceptable? Compare the results of using the binomial distributions with
those found using the normal approximation.

Answers

The probability that exactly 800 chips are acceptable is less than 0.000001

How to determine the probability?

The given parameters are:

Sample, n = 3000Percentage acceptable, p = 72%Acceptable chips, x = 800

The binomial probability is represented as:

[tex]P(x) = ^nC_x * p^x * (1- p)^{n - x}[/tex]

So, we have:

[tex]P(300) = ^{3000}C_{800} * (72\%)^{800} * (1- 72\%)^{3000 - 800}[/tex]

The data values are large.

So, we use a statistical calculator to evaluate the expression

Using the calculator, we have:

P(300) < 0.000001

Hence, the probability that exactly 800 chips are acceptable is very small i.e. less than 0.000001

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help and thank youu~

Answers

Answer:

Perimeter=150cm

Step-by-step explanation:

25cm×6=150cm

help please? 50 points if correct

Answers

Answer:

15400 in² :)))!

Step-by-step explanation:

Input Data:

Radius = 70 in

Objective:

Find the area of the circle.

Solution:

Area = πr2

= 3.14 x (70) ^2

= 3.14 x (4900)

Area = 15400 in²

please please help me I'll give whaever​

Answers

answer:

1769.344983 or 1769.34 (depends on what you’re rounding to)

explanation:

- the equation for a cylinder‘s surface area is: (2 π r h)+(2 π r^2)

so 2 just means x2

π is just pi

r is your radius and for this equation your radius is 8 cm

and h is your height so for this equation your height is 27.2 cm

- so the equation filled in is:

(2 x π x 8 x 27.2) + (2 x π8^2) = 1769.344983 or 1769.34

(2 x π x 8 x 27.2) = 1367.221123

(2 x π8^2) = 402.1238597

1367.221123 + 402.1238597 = 1769.344983

hope this helps :)

Find x to the equation

Answers

1.85 or 1.9 i believe will be the answer

The cost of printing books C varies partly as the amount A charged by the printer
and partly varies inversely as the number n of books printed. When 1000 books
were printed, the amount charged was GHC5000 and the cost of printing was
GHC75010 and when 2500 books were printed, the amount charged was
GHC10000 and the cost of printing was GHC50,004.
Find an equation connecting C,A and n

Answers

The equation connecting C,A and n is  C = 25A - [tex]\frac{49990000}{n}[/tex]

What is variation?

Variation is a mathematical term used to show how a quantity behaves when one quantity increases or decreases.

Analysis:

C = AK + M/n

where K and M are constants

when n = 1000, A = 5000, C = 75010

75010 = 5000K + M/1000-----------1

50004 = 10000k + M/200-------------2

solving simultaneously,  K = 25, M = -49990000

C = 25A - 49990000/n

In conclusion, the equation connecting C,A and n is C = 25A - 49990000/n

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convert the following equation into standard form y=-5x/8 + 3

Answers

The answer is 5x-8y= -24

What is the greatest common factor of 4xy2 and 20x2y4?

4xy
4

Answers

Answer:

4 x y ^2

Step-by-step explanation:

4 x y^2    would be the GFC

Solve for x.

x³ = 216

Enter your answer in the box.

x =

Answers

[tex]x^3=216\\x=\sqrt[3]{216}=6[/tex]

This is a simple example. You (should) know that [tex]6^3=216[/tex].

But you can solve it like this:

[tex]\begin{array}{r|l}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}[/tex]

Therefore

[tex]\sqrt[3]{216}=\sqrt[3]{2^3\cdot3^3}=\sqrt[3]{2^3}\cdot\sqrt[3]{3^3}=2\cdot3=6[/tex]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the value of x in the equation [tex]\pmb{x^3=216}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

The goal is to get x all by itself on one side of the equal sign.

Is x by itself? No, it's cubed, or multiplied times itself three times.

So we need to use the opposite operation.

The opposite of cubing is taking the cube root, so we take the cube root of both sides:

[tex]\star~\large\pmb{\sqrt[3]{x^3}=\sqrt[3]{216}}[/tex]

On the left, the cube root sign and the cube cancel, because they're opposite, and we're left with x.

On the right, we take the cube root of 216, which gives us:

[tex]\star~\large\pmb{x=6}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Write these ratios in their simplest form. You must show all your workings:
a. 2 litres:600ml
b.8h:1day
c.3km:250m​

Answers

The simplest form of the given ratios are : 10:3 , 1:3 , and 12:1

What is Ratio?

A ratio indicates how many times one number contains another.

Here, for given ratio

2 litres : 600 ml    = 2000 ml : 600 ml

                             = 20 : 6

                            = 10 : 3

8 h : 1 day       =  8 hrs : 24 hrs

                        = 8:24

                       = 1 : 3

3 km : 250 m = 3000 m : 250 m

                      = 3000 : 250

                      = 300 : 25

                     = 12 : 1

Thus, the simplest form of the given ratios are : 10:3 , 1:3 , and 12:1.

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A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients.

Answers

Answer:

33,75 clients(huh?)

Step-by-step explanation:

75 / 100 = 0,75(1% of all clients)

0,75 * 45 = 33,75(number of business clients)

3375 is not the number of clients the other guy who answered is lying

A train leaves Thorn Junction at 1:25 P.M. and arrives in Niles at 3:05 P.M. The train makes two stops along the route for a total of 15 minutes.

A second train leaves Thorn Junction at 4:30 P.M. and heads to Niles. This train does not make any stops.

What time will the second train arrive in Niles? Enter your answer in the boxes.

:
P.M.

Answers

Answer: It will arrive at 5:55 P.M

Step-by-step explanation:

Worth 40 points! Select the correct answer.
What is the value of x in the triangle? (file of the picture is attached below)

Answers

Answer:

Its A

Step-by-step explanation:

I need this answer as soon as possible! 50 points!

Answers

[tex]20^{\tfrac 52}\\\\=(20^5)^{\tfrac 12}\\\\=\left(20^4 \cdot 20 \right)^{\tfrac 12}\\\\=20^{\tfrac 42} \cdot 20^{\tfrac 12}\\\\=20^2 \sqrt{20}\\\\=400\sqrt{4 \times 5}\\\\=400 \times 2\sqrt 5\\\\=800\sqrt 5[/tex]

Answer:

[tex]800\sqrt{5}[/tex]

Step-by-step explanation:

Given: [tex]\large (20)^\text{$ \dfrac{5}{2} $}[/tex]

Properties of Exponents:

Rational Exponent Property: [tex]\large x^\text{$ \dfrac{m}{n} $} = \large \text{$ \sqrt[n]{x^m} $}[/tex]

a number raised to a fraction, can be converted to a radical. the numerator becomes the exponent, and the denominator becomes the index of the radical.

Product of Powers Property:

when multiplying powers with the same base, add the exponents.

1. Convert into a radical:

[tex]\sqrt[2]{20^5} \implies \sqrt{20^5}[/tex]

2. Simplify the expression:

[tex]\sqrt{20^2\times20^2\times20^1}\\\\\implies \sqrt{20^4\times20}\\\\\implies 20^2\sqrt{20}\\\\\implies 20^2\sqrt{4\times5}\\\\\implies 20^2\times2\sqrt{5}[/tex]

3. Evaluate the power:

[tex]20\times20\times2\sqrt{5}\\\\\implies 400\times2\sqrt{5}[/tex]

4. Multiply:

[tex](400\times2)\sqrt{5}\\\\\implies800\sqrt{5}[/tex]


Rani uses a container that can hold 2 liters of water to fill a
fish tank. The fish tank can hold 8 liters of water. How many
times must she fill the smaller container to fill the fish tank?

Answers

Answer:

4 times

Step-by-step explanation:

If the smaller container only holds 2 liters, you would have to divide 8 by 2 which is 4.

Answer:

4 times

Step-by-step explanation:

Its 4 times cause 8/2=4

Find the quotient and remainder using long division.
x + x - 13
x - 2
The quotient is
The remainder is

Answers

Answer:

[tex]\text{The quotient is}~ x^2 +2x +5 \\\\\text{The remainder is}~ -3[/tex]

Step-by-step explanation:

Suppose the scores of seven members of a women’s golf team are 68, 62, 60, 64, 70, 66, and 72. Find the mean, median, and midrange.
a.
Mean = 64, median = 64, midrange = 64
b.
Mean = 65, median = 64, midrange = 66
c.
Mean = 66, median = 77, midrange = 65
d.
Mean = 66, median = 66, midrange = 66


Please select the best answer from the choices provided

A
B
C
D

Answers

The mean, median, and midrange of the given that are 66, 66 and 66 respectively.

Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.

What is the mean, median, and midrange?

Mean is the sum total of the number divided by number of terms

Median is the middle number when arranged in ascending or descending order.

Midrange is the average of the sum of the maximum number and the minimum number.

Given that;

Data set: 68, 62, 60, 64, 70, 66, and 72n = 7

First, we arrange in ascending order.

60, 62. 64, 66, 68, 70, 72

Mean = ( 60 + 62 + 64 + 66 + 68 + 70 + 72 ) / 7

Mean = 462 / 7

Mean = 66

Median = 66

66 is the middle number.

Range = ( Max + Min ) / 2

Range = ( 72 + 60 ) / 2

Range = 132 / 2

Range = 66

Therefore, the mean, median, and midrange of the given that are 66, 66 and 66 respectively.

Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.

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Solve the triangle: α = 40°, β = 35°, and a = 10.
b = 8.9, γ = 105°, c = 6.7
b = 11.2, γ = 105°, c = 6.7
b = 11.2, γ = 105°, c = 15.0
b = 8.9, γ = 105°, c = 15.0

Answers

The triangle: α = 40°, β = 35°, and a = 10. is b = 8.9, γ = 105°, c = 15.0

What is Sine Law?

If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side’s length to the sine of the angle opposite the side must all be the same.

a/ sin A = b/ sin B = c/ sin C

Using Angle sum property in a triangle we have,

α+β+ γ = 180

40+35+ γ=180

γ= 180-75

γ= 105°

Now,

c/ sin γ= a/ sin α

c/ sin 105= 10/ sin 40

c/ 0.96592 = 10 /0.6427

c = 15

again,

b/ sin  β=  a/ sin α

b/ sin 35=  10/ sin 40

b/0.5737= 15.559

b= 8.92

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The final exam scores in a statistics class were normally distributed with a mean of
70 and a standard deviation of five. What is the probability that a student scored
more than 65% and less than 75% on the exam?

Answers

Answer:

68.27%

Step-by-step explanation:

By the Empirical Rule, as 65% and 75% are both one standard deviation apart from the mean of 70%, then this represents 68.27% of the data.

A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets would you administer per dose?

Answers

The patient would be administered 4 tablets per dose.

How do we use word problems to solve real-life problems?

In mathematics, solving word problems involves a careful understanding of the content of the problem. This will enable the use of appropriate variables and data representation.

From the given information:

A patient has been prescribed = 1 gram of Drug A.A stock dose is available in = 250 mg

From the standard conversion rate, we know that:

1 g = 1000 mg

Here, to determine the number of dose to be administered, we have:

(x) /dose = 1000 mg/250 mg

x = 4 dose.

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This data set represents the widths in yards of pieces of fabric used by a sewing group. What is the mean of this data set? {113, 14, 23, 12, 114}

Answers

Answer:

55.2 is the mean

Explanation:

Given data set:  {113, 14, 23, 12, 114}

Mean = sum of the terms/number of terms

Mean = (113 + 14 + 23 + 12 + 114)/5

          = (276)/5

          = 55.2

Answer:

Mean = 55.2

Step-by-step explanation:

Given data set:   113, 14, 23, 12, 114

To find the mean of a data set, divide the sum of all data values by the total number of data values:

[tex]\large \begin{aligned}\sf Mean & = \sf\dfrac{sum\:of\:all\:data\:values}{total\:number\:of\:data\:values} \\\\\implies \sf Mean & = \sf \dfrac{113 + 14 + 23 + 12 + 114}{5}\\\\& = \sf \dfrac{276}{5}\\\\& = \sf 55.2\end{aligned}[/tex]

Suppose that 950 couples each have a baby find the mean and standard deviation for the number of boys in the 950 babies

Answers

The mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively

How to determine the mean and the standard deviation?

From the complete question, we have:

P(boy)= 0.5

Sample size = 950

The mean is then calculated as:

[tex]\bar x = np[/tex]

This gives

[tex]\bar x = 950 * 0.5[/tex]

Evaluate

[tex]\bar x = 475[/tex]

The standard deviation is calculated as:

[tex]\sigma = \sqrt{np(1 - p)[/tex]

This gives

[tex]\sigma = \sqrt{950 * 0.5(1 - 0.5)[/tex]

Evaluate

[tex]\sigma = 15.41[/tex]

Hence, the mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively

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Which graph shows the axis of symmetry for the function f(x) = (x - 2)2 + 1?

Answers

Answer:

x=2

Step-by-step explanation:

axis of symmetry is

x-2=0

or

x=2

Answer:

Graph B. On a coordinate plane, a vertical dashed line at (2, 0) is parallel to the y-axis.

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