Mathematics High School

A water sprinkler sends out water in a circular pattern. How many feet away from the sprinkler can it spread water is the area formed by the watering pattern is 530.66 square feet? Use 3.14

Answers

Answer 1

Answer:

r= 13ft

Step-by-step explanation:

You are looking for the radius

The Area of a circle is

πr2=530.66

(3.14)r2=530.66

Divide both sides by 3.14

r2=169

Square root both sides to get radius

r=13 feet

Related Questions

Jayden needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged him $60 for parts. The total was $528.75. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

Answer:

$125 and hour - (528.75 - 60) / 3.75

Step-by-step explanation:

Since the total includes the $60 for the parts, we have to subtract 60 from 528.75. Once we've found the difference (468.75), we can divide by the amount of hours (3.75). That leaves us with the answer, $125.

1. a is__
X
-1
0
1
b is__
f(x)
3
6
12

y=___

Answers

The equation of the exponential table of values is y = 6(2)^x

Calculating the equation of the table of values

From the question, we have the following parameters that can be used in our computation:

x y

-1 3

0 6

1 12

In the above table of values, we can see that

As x increases by 1The function value doubles

This means that the function is an exponential function

As a general rule, an exponential function is represented as

y = ab^x

Where

a = y when x = 0

So, we have

y = 6b^x

Also, the function value doubles

This mean that

b = 2 i.e. the rate

So, we have

y = 6(2)^x

Hence, the equation of the table of values is y = 6(2)^x

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the probability that a married couple pays for their honeymoon is 0.56. you randomly select 5 couples and ask each if they paid for their honeymoon themselves. find the probability that exactly 4 of the couples said that they paid for their honeymoon.

Answers

0.2164 is probability that exactly 4 of the couples said that they paid for their honeymoon.

What are examples and probability?

It is based on the probabilities that something could happen. The logic underpinning probability serves as the foundation for theoretical probability. The theoretical likelihood of receiving a head, for instance, is 12 when a coin is tossed.

If x = no of married couples out of 5 who paid for their honeymoon .

then X ~ ( 5 , 0.56 )

P (X = 4 ) = 5C4( 0.56 )⁴ ( 0.44)¹

= 0.2164

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Calculate the probability of all three events occurring.

Answers

Answer:

even = 1/2

prime = 1/2

multiple of 5 = 1/6

Step-by-step explanation:

probability is the chances of obtaining a certain result out of many attempts.

when rolling a die, the maximum number of results you can get is 6

Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)

Even = There are only 3 even numbers from 1 to 6

Prime: There are only 3 primes from 1 to 6

Multiples of 5 = There is only one multiple of 5.

Now you present each of this out of 6:

Even: 3/6 = 1/2

Prime: 3/6 = 1/2

Multiple of 5 = 1/6

This can also be presented as a decimal or percentage:

Even: 50% = 0.5

Prime: 50% = 0.5

Multiple of 5 = 16.67% = 0.16

Hope this helps.

Good Luck

PLEASE HELP! ill give brainliest
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ΔABC ≅ ΔGFE.

Answers

Answer:

look at the sbse below

Step-by-step explanation:

∠DEC ≅ ∠DCE, ∠ACB ≅ ∠GEF,

∠B ≅ ∠F, DF ≅ BD

∠ACB ≅ ∠GEF, ∠B ≅ ∠F, DF ≅ BD, ΔABC ≅ ΔGFE.

i hope this helps you :) it took me a long time

Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.

Answers

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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For each type of effect listedâmain effects, two-way interactions, and three-way interactionsâidentify the maximum number of possible effects that could be tested in a 2 Ã 2 Ã 2 factorial design. - 3 main effects- 1 three- way interaction- 3 two-way interactions

Answers

The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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I’m doing a review but I forgot how to do this can someone help?

Answers

Answer:

-3x+10=5x-8

so basically its like grouping.

so answer is

8x=18?

Step-by-step explanation:

sorry if incorrect

Answer:

x=2.25

Step-by-step explanation:

three -x make -3x and 10 +1s make +10 and 5 xs make 5x and 8 -1s make -8

which makes

-3x+10=5x-8

just solve

18=8x

2.25=x

Explain the relationship between the slope and the derivative of f(x) at x-a. Choose the correct answer below. O A. O B. ○ C. O D. The derivative of f(x) at x-a describes the rate of change for the slope of the function at x-a. The slope of the function at x = a describes the rate of change for the derivative of f(x) at x-a. The derivative of f(x) at x = a equals the slope of the function at x=a The derivative of f(x) at x-a is unrelated to the slope of the function at x-a.

Answers

The correct option among the options provided in the question is option C.

The derivative of f(x) at x = a equals the slope of the function at x=a.

In mathematics, the derivative is defined as the rate of change of a function with respect to the variables it depends upon. It is used to find the slope of a curve at a given point. The slope of a curve is defined as the change in y coordinate per unit change in the x coordinate.

In calculus, the relationship between the slope and the derivative of f(x) at x-a is explained by the fact that the derivative of f(x) at x - a equals the slope of the function at x = a. This means that the rate of change of the function f(x) with respect to the variable x at x - a is equal to the slope of the curve at that point.

The derivative of a function f(x) at a point x = a is given by f'(a), which is defined as the limit of the ratio Δy/Δx as Δx approaches zero. The slope of the function at x = a is given by the tangent line to the curve at that point. This means that the slope of the curve at x = a is equal to the derivative of f(x) at x = a, which can be written as f'(a).

Thus, the derivative of f(x) at x = a equals the slope of the function at x = a.

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which of these pyramids do you think has the greater surface area? a. square pyramid: the base is 10 cm by 10 cm and the triangular faces have a heigh of 8.66 cm. b. riangular pyramid: all the faces are equilateral traingles with a base of 10 cm and a height of 8.66 cm.

Answers

The triangular pyramid has a greater surface area than the square pyramid.

The surface area of a pyramid depends on the shape and dimensions of its base as well as its height and slant height. In this case, the square pyramid has a square base with sides of length 10 cm and four equilateral triangular faces with a height of 8.66 cm. The triangular pyramid has an equilateral triangular base with sides of length 10 cm and three identical equilateral triangular faces, each with a height of 8.66 cm.

To calculate the surface area of the square pyramid, we can first find the slant height of each triangular face using the Pythagorean theorem:

slant height = sqrt(10^2 + (8.66/2)^2) = 10.82 cm

Then, we can calculate the area of each triangular face as:

area = (1/2) * base * height = (1/2) * 10 cm * 8.66 cm = 43.3 cm^2

And finally, the total surface area of the pyramid is:

total surface area = area of base + 4 * area of triangular faces

= 10 cm * 10 cm + 4 * 43.3 cm^2

= 600.8 cm^2

To calculate the surface area of the triangular pyramid, we can use the formula:

surface area = area of base + 1/2 * perimeter * slant height

The area of the equilateral triangular base is:

area = (sqrt(3)/4) * base^2 = (sqrt(3)/4) * 10 cm^2 ≈ 21.65 cm^2

The perimeter of the base is simply 3 times the length of a side, or 30 cm. The slant height of each triangular face is 8.66 cm, so the surface area of the pyramid is:

surface area = 21.65 cm^2 + 1/2 * 30 cm * 8.66 cm

= 21.65 cm^2 + 130.0 cm^2

= 151.65 cm^2

Therefore, the triangular pyramid has a greater surface area than the square pyramid.

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You plan on going golfing this weekend with a friend. you can either go to your favorite course which is 14 miles north of your house or to your friends favorite course which is 14 miles south of your house. write an absolute value inequality that represents all the distances you may be from your house

Answers

An absolute value inequality that represents all the distances you may be from your house is -14 ≤ x ≤ 14.

Inequality:

Basically, inequality is the relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given,

Here we need to write an absolute value inequality that represents all the distances you may be from your house.

Consider your house is in the center.

So, both sides you have the Golf course.

So, it can be written as

-14 for north side one and 14 for the south side one.

And let x be the distance between the house and the golf course.

So, it can be written as the inequality,

=> -14 ≤ x ≤ 14.

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Select the correct term to describe this figure.

Answers

Answer:

it is a concave octagon

Step-by-step explanation:

A convex octagon has no angles pointing inward so in other words, the angles cant be acute. A concave octagon has angles pointing inward therefor it is a concave octagon.

Which type of lines is shown in the illustration above?
A. parallel lines
B. perpendicular lines
C. skew lines
D. intersecting lines

Answers

Answer:

im pretty sure its A bc he just got a 5.0 rating and a thanks also i just got a 100% so thx to you for letting me get a try and thx to you above with a 5.0 rating

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table

Answers

Answer:

Step-by-step explanation:

B) data summary its in the words it sums up the answers to all the data you've collected over timew

for a model yacht one inch represents 8 feet. if the real yacht is 34 feet long how many inches would the model be?

Answers

Answer:

51 feet

Step-by-step explanation:

12/8=1.5

1.5X34=51 feet

Can someone help its algebra?

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle , that is

3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )

= 11x + 3

Given the perimeter = 36 units , then

11x + 3 = 36 ( subtract 3 from both sides )

11x = 33 ( divide both sides by 11 )

x = 3

Then

base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units

height = 3x = 3(3) = 9 units

hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units

Use the method of Laplace transform to solve the following integral equation for y(t). y(t) = 51 - 4ſsin ty(1 – t)dt

Answers

The solution to the integral equation is y(t) = 5/√5 * sin(√5t).

To solve the integral equation, we take the Laplace transform of both sides. Applying the Laplace transform to the left side, we have L[y(t)] = Y(s), where Y(s) represents the Laplace transform of y(t).

For the right side, we apply the Laplace transform to each term separately. The Laplace transform of 5 is simply 5/s. To evaluate the Laplace transform of the integral term, we can use the convolution property. The convolution of sin(ty(1 - t)) and 1 - t is given by ∫[0 to t] sin(t - τ)y(1 - τ) dτ.

Taking the Laplace transform of sin(t - τ)y(1 - τ), we obtain the expression Y(s) / (s^2 + 1), since the Laplace transform of sin(at) is a / (s^2 + a^2).

Combining the Laplace transforms of each term, we have Y(s) = 5/s - 4Y(s) / (s^2 + 1).

Next, we solve for Y(s) by rearranging the equation: Y(s) + 4Y(s) / (s^2 + 1) = 5/s.

Simplifying further, we have Y(s)(s^2 + 5) = 5s. Dividing both sides by (s^2 + 5), we get Y(s) = 5s / (s^2 + 5).

Finally, we apply the inverse Laplace transform to Y(s) to obtain the solution y(t). Taking the inverse Laplace transform of 5s / (s^2 + 5), we find that y(t) = 5/√5 * sin(√5t).

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How would you begin to plot the ordered pair ( 6,2)?

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To graph a point you have a coordinate plane or graph not theirs a x axis with is a like going left to right and a y axis, a line starting up to down. I remember using the saying “run before you jump” meaning you run first starting at your origin(0,0). In this case your first number is 6 for which you would run until you’re at 6 on the x axis line or the line going left to right then jump to straight up because it’s a positive number. Because you’re jumping up you’re going to jump 2 on the y axis line or the line going up and down. Your point doesn’t need to be exactly on either line. Remember your first coordinate or number is the number you run with and the second the one you jump with

Matt covers a distance of 300 miles in 10 hours. Given that he covers an equal distance every hour, find the distance covered by him in 4 hours.

Answers

Start by dividing 300 by 10, which gives you 30. That's how many miles he travels an hour. Times 30 by 4, for the distance covered over 4 hours which is 120 miles. :D

You measure 38 turtles' weights, and find they have a mean weight of 62 ounces. Assume the population standard deviation is 11.9 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight.

Answers

The maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is approximately 3.433 ounces.

To find the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight given that you measure 38 turtles' weights, and find they have a mean weight of 62 ounces and the population standard deviation is 11.9 ounces, you can use the formula for margin of error, which is:

Margin of Error = Zα/2 * (σ/√n)

where Zα/2 is the critical value for the desired confidence level (in this case, 90% confidence), σ is the population standard deviation, and n is the sample size.

Substituting the given values, we have:

Margin of Error = 1.645 * (11.9/√38)

≈ 3.433

Therefore, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is approximately 3.433 ounces.

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in order to estimate the mean age to be diagnosed with diabetes, a researcher takes a sample and finds the mean age to be 16.4. what type of statistical inference is this?

Answers

Answer:

This is a type of statistical inference known as a measure of center

the medians of a triangle intersect at the ___

Answers

Answer:

orthocentre

Step-by-step explanation:

this is the answer to your question

Fine the average rate of change for f(x) on the interval [-1,3]

Answers

For any function f(x), the average rate of change on the interval [x1,x2] is given by [f(x2) - f(x1)]/(x2-x1)

For f(-1) = 2.5 and f(3) = 40, the average rate of change on the interval [-1,3] is given by:

step 1 - (40 - 2.5)/[3-(-1)] = 37.5/4 = 9.375

step 2 - (37.5)/4

step 3 - Solving the fraction we find that the average rate of change is 9.375 (or 75/8)

Which equation in standard form has a graph that passes through the point (0,-5) and has a slope of 3/4?

A. 3x+4y=-20

B. 3x-4y=20

C. 4x+3y=20

D. 4x-3y=-20

Answers

The standard equation of the line is:

$3x - 4y = 20$, option B.

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

In slope-intercept form, the equation of a line is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.

In standard form, the equation of the line is:

$y - mx = b$

Without fractions.

In this problem:

Slope of 3/4 means that $m = \frac{3}{4}$Point (0, -5) means that when $x = 0, y = -5$, and thus, $b = -5$

Thus, the equation is:

$y = mx + b$

$y = \frac{3}{4}x - 5$

Multiplying everything by 4:

$4y = 3x - 20$

$4y - 3x = -20$

$3x - 4y = 20$, option B.

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Someone help me with this please !!!!!:(

Answers

Answer:

8.1.

Step-by-step explanation:

a^2+b^2=c^2

8^2+2^2=c^2

64+4

and you square root it and get 8.2 so i giras is 8.1

hope it helps.

Mr Johansson is cutting construction paper for art project. He has 24 students, and 6 large pieces of construction paper. How much paper will each student receive
I math!! asp

Answers

Answer:

piece of construction paper is received by each student.

Step-by-step explanation:

Given: Mr. Johansen is cutting construction paper for an art project.

The number of students in the art project = 24

The number of pieces of construction paper = 6 pieces

When Mr. Johansen divides 6 pieces of construction paper in 24 students, the quantity of construction paper received by each student =

One- fourth piece of construction paper is received by each student.

1/4 is how much construction paper each student will get

banneker middle school has 750 students. Lynn surveys a random sample of 50 students and finds that 27 of them have dogs . how many students at the school are likely to have dogs?

Answers

Answer:405

Step-by-step explanation:

750/50=15

15*27=405

An annuity has a payment of $300 at time t = 1, $350 at t = 2, and so on, with payments increasing $50 every year, until the last payment of $1,000. With an interest rate of 8%, calculate the present value of this annuity.

Answers

The present value of the annuity is $4,813.52.

To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:

PV = C * (1 - (1 + r)^(-n)) / (r - g)

Where:

PV = Present Value

C = Payment amount at time t=1

r = Interest rate

n = Number of payments

g = Growth rate of payments

In this case:

C = $300

r = 8% or 0.08

n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14

g = Growth rate of payments = $50

Plugging in these values into the formula, we get:

PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52

Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.

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Unit 2 logic and proof homework 3 conditional statements

Answers

By engaging in these exercises, students can develop a deeper understanding of conditional statements and logical reasoning, which are essential skills for further studies in mathematics and logic.

In Unit 2 of a logic and proof course, homework 3 focuses on conditional statements.

Conditional statements are fundamental concepts in logic and mathematics, representing logical implications between two statements.

They are typically expressed in "if-then" format, where the "if" part is the hypothesis and the "then" part is the conclusion.

The homework may involve tasks such as:

Identifying conditional statements: Students are given a set of statements and asked to identify which ones are conditional statements.

They need to recognize the "if-then" structure and correctly identify the hypothesis and conclusion.

Analyzing the truth value of conditional statements:

Students may be given conditional statements and asked to determine whether they are true or false.

They need to evaluate the hypothesis and conclusion to determine if the implication holds in each case.

Writing converse, inverse, and contrapositive statements:

Students may be required to manipulate given conditional statements to form their converse, inverse, and contrapositive statements.

This involves switching the positions of the hypothesis and conclusion or negating both parts.

Applying the laws of logic:

Students may need to apply logical laws, such as the Law of Detachment or the Law of Modus Tollens, to deduce conclusions based on conditional statements.

Constructing counterexamples:

Students may be asked to provide counterexamples to disprove statements that are falsely claimed to be universally true based on a given conditional statement.

They also help students develop critical thinking and problem-solving abilities, as they have to analyze and manipulate logical structures.

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if the researchers wanted to report a confidence interval with a smaller margin of error based on the same sample of 1,154 americans, the confidence interval would be larger

Answers

The confidence interval of (3.53, 3.83) hours contains the mean hours that U.S. adults have for leisure time after an average workday.

How to identify if the statements are true or false

From the question, we have the following parameters that can be used in our computation:

Sample size, n = 1154

Also, we have

A 95% confidence interval from the 2010 GSS survey for the collected answers is 3.53 to 3.83 hours.

The interpretation of the above confidence interval is that 3.53 to 3.83 hours contains the required mean hours

Hence, the true statement is (c) and others are false