1. Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line
segment.

The volume of the tank is (70 cm)³ = 343,000 cm³.

Now,

1 mL = 1 cm³

1 L = 1000 mL

so we convert the given rate to

\(\dfrac{7\,\rm L}{1\,\rm min} \cdot \dfrac{1000\,\rm mL}{1\,\rm L} \cdot \dfrac{1\,\mathrm{cm}^3}{1\,\rm mL} = \dfrac{7000\,\mathrm{cm}^3}{1\,\rm min}\)

Then the time it will take to fill up the tank is

\(343,000\,\mathrm{cm}^3 \cdot \dfrac{1\,\rm min}{7000\,\mathrm{cm}^3} = \boxed{49\,\rm min}\)

Answer:

Step-by-step explanation:

If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps

Answer:

B

Step-by-step explanation:

doesnt have an equals sign

Answer:

The second one, there is not = sign

2(4m+6)

Step-by-step explanation:

An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.

for it to be an equation there needs to be an equal sign

Answer:

Common Difference = 2.

Step-by-step explanation:

An AP can be written as  a1,  a1 + d,  a1 + 2d,  a1 + 3d,  a1 + 4d,  a1 + 5d, a1 + 6d , a1 + 7d.    

 where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are  a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first  we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d)  =   (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 =  64 + 72d^ + 14d^2

2d^2 - 8d  = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d =  0, 2.

The common difference can't be zero so it must be 2.

Answer:

(4,-2) is the answer to that equation.

Answer:

(-4,0)

Step-by-step explanation:

solve for the first variable in one of the equations,then substitute the result into the other equation

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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Answer:

(0,0) is not a solution to x + y > 5 , but it is a solution for 2x - y < 4

Step-by-step explanation:

Substitute x=0,y=0

0>5 (not possible)

0<4(possible)

This equation shows that Death Valley is located 86 meters below sea level.

What is equation ?

An equation is a mathematical statement that shows the equality between two expressions. It typically contains variables, constants, and mathematical operations

The equation that shows how many meters below sea level Death Valley is located is:

Sea level elevation - Death Valley elevation = Sea level elevation - (-86 meters)

Simplifying this equation gives:

Sea level elevation + 86 meters = Sea level elevation - (-86 meters) + 86 meters

Therefore, the equation is: Sea level elevation + 86 meters = 0

This equation shows that Death Valley is located 86 meters below sea level.

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Answer & Step-by-step explanation:

PEMDAS:

Parentheses

Exponents

Multiplication and Division left to right

Addition and Subtraction left to right

We have two forms of grouping in the expression. Do the inner-most one first, still following PEMDAS within the grouping symbol:

Simplify division:

\(6/4=1.5\\1.5-1=0.5\\\)

Re-insert:

\(40/(19-1+0.5)\)

Simplify subtraction and addition within parentheses:

\(19-1+0.5\\18+0.5\\18.5\)

Re-insert:

\(40/18.5\)

Simplify division:

\(40/18.5=2.162162162162162162.....\)

:Done

These values were found \(\lim_{x \to -\infty} f(x) = 0\)  & \(\lim_{x \to \infty} f(x) = \infty\) from the given equation.

What is the limit?

A limit in mathematics is the value that a function approaches as its input approaches some value. Limits are used to define continuity, derivatives, and integrals in calculus and mathematical analysis.

We have,

f(x) = 4xe³ˣ / 1

f(x) = 4xe³ˣ

\(\lim_{x \to \infty} f(x) = ?\)l

\(\lim_{x \to -\infty} f(x) = ?\)

\(\lim_{x \to -\infty} f(x) = \lim_{x \to -\infty} 4xe^{3x}\)

It is the form -∞ * 0 which is an undetermined form

Write it has a fraction then apply l'Hospital's Rule

\(\lim_{x \to -\infty} \frac{4x}{1 / e^{3x} } = \lim_{x \to -\infty} \frac{4}{ -3e^{3x} / e^{6x} }\)

\(= \lim_{x \to -\infty} \frac{4}{-3/e^{3x}} } = \lim_{x \to -\infty} \frac{4e^{3x}}{ -3 }\)

\(= \frac{4e^{-x}}{ -3 }\)

\(= \frac{0}{ -3 } = 0\)

\(\lim_{x \to \infty} f(x) = \lim_{x \to \infty} 4xe^{3x}\)

Simply evaluate

\(\lim_{x \to \infty} 4xe^{3x} = \infty * \infty = \infty\)

 (∞*∞ is not an undetermined form).

f(x) = 4xe³ˣ

\(\lim_{x \to -\infty} f(x) = 0\)

\(\lim_{x \to \infty} f(x) = \infty\)

Hence, these values were found \(\lim_{x \to -\infty} f(x) = 0\)  & \(\lim_{x \to \infty} f(x) = \infty\) from the given equation.

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Answer:

9.6 days

Step-by-step explanation:

100 chickens, 12 days

find the days for 10 chickens: 1.2 days (to get 10 you have to divide 100 by ten, so divide 12 by ten too)

times by 8 to get the days for 80 chickens: 9.6 days

Answer: Let's assume that the bag of corn contains "C" units of corn. We know that this amount of corn can feed 100 chickens for 12 days.

To determine how long the same bag of corn would feed 80 chickens, we can use the following proportion:

(Corn units)/(chickens * days) = (Corn units)/(chickens * days)

We can set up two ratios, one for the original situation and one for the new situation, and then cross-multiply to solve for the unknown value:

C/100 * 12 = C/80 * d

where "d" is the number of days that the same bag of corn would feed 80 chickens.

Simplifying the equation, we get:

C/10 = C/80 * d

Multiplying both sides by 80, we get:

8C = Cd

Dividing both sides by "C", we get:

8 = d

Therefore, the same bag of corn would feed 80 chickens for 8 days.

Brainliest is much appreciated (;

To find y(2), we first need to solve the given differential equation: dy/dx = 8y.

1. Separate variables: divide both sides by y and multiply both sides by dx. This gives us (1/y) dy = 8 dx.
2. Integrate both sides: ∫(1/y) dy = ∫8 dx.
3. The antiderivative of (1/y) is ln|y|, and the antiderivative of 8 is 8x. So we have ln|y| = 8x + C, where C is the integration constant.
4. Solve for y: y = e^(8x + C) = e^(8x) * e^C. Since e^C is also a constant, we can replace it with another constant, say k: y = k * e^(8x).
5. Use the initial condition y(0) = 10 to find the value of k: 10 = k * e^(8 * 0), so k = 10.
6. Plug in the value of k to get the final solution: y = 10 * e^(8x).


Now we can find y(2) by plugging in x = 2: y(2) = 10 * e^(8 * 2) = 10 * e^16.

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The cost of the rebate will be $20 million. Therefore, option B is correct.

To calculate  the cost of the rebate:

Given information:

  - Current price of the minivan: $31,000

  - Price after the rebate: $30,000

  - Current sales: 25,000 vehicles

  - Estimated sales after the rebate: 29,000 vehicles

  - Profit margin per vehicle: $5,000

Increase in sales = Estimated sales after rebate - Current sales

= 29,000 vehicles - 25,000 vehicles

= 4,000 vehicles

Cost of the rebate = Increase in sales * Profit margin per vehicle

= 4,000 vehicles * $5,000 per vehicle

= $20,000,000

Therefore, the cost of the rebate will be $20 million. This means that Honda would need to spend $20 million to provide the $1,000 rebate on each of the 4,000 additional vehicles sold.

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The complete question is:

Honda Motor Company is considering offering a $1,000 rebate on its minivan, lowering the vehicle's price from $31,000 to $30,000. The marketing group estimates that this rebate will increase sales over the next year from 25,000 to 29,000 vehicles.Suppose Honda's profit margin with the rebate is $5,000 per vehicles. What will be the cost of the rebate? A $4 million B. $20 million C $25 million D. $29 million

Answer:

Sale price is \(15.2\$\)

Step-by-step explanation:

Price is reduced by 80% from the original price.

Here original price is $76

Sale price is

\(=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$\)

A measurement of how many tasks a computer can accomplish in a certain amount of time is called throughput.

Throughput is a measure of the amount of data or information that can be transmitted through a communication channel or processed by a system in a given period of time. It is usually expressed in bits per second (bps), bytes per second (Bps), or packets per second (pps).

In computing, throughput refers to the rate at which data can be transferred between the CPU, memory, and other components of a computer system. It can also refer to the amount of work a computer system can perform within a given period of time, such as the number of tasks completed per second.

Throughput is an important performance metric in many applications, especially those involving data transfer or real-time processing. A higher throughput generally indicates a more efficient and capable system, while a lower throughput may indicate a bottleneck or performance limitation. Throughput is a measure of the amount of work a computer system can do in a given period of time, typically measured in tasks completed per unit time. It is an important performance metric for computer systems, especially in scenarios where high volume or time-sensitive tasks are being performed

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Answer:

$1,650

Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650

Answer:

The answer is A

Step-by-step explanation:

Answer:

option A is the right answer correct me if im wrong

There are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

The system of equations is:

y = 3x - 3

y = -x^2

To determine which point from a specified set satisfies the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

Substituting y = 3x - 3 into the second equation, we get:

3x - 3 = -x^2

Rearranging this equation, we get:

x^2 + 3x - 3 = 0

Using the quadratic formula, we can solve for x:

x = (-3 ± sqrt(3^2 - 41(-3))) / (2*1) = (-3 ± sqrt(21)) / 2

Therefore, there are two possible values of x that satisfy the system of equations:

x = (-3 + sqrt(21)) / 2 ≈ 0.79

x = (-3 - sqrt(21)) / 2 ≈ -3.79

To find the corresponding values of y, we can substitute these values of x into either equation. For example, if we use y = 3x - 3, we get:

y ≈ 0.37 (when x ≈ 0.79)

y ≈ -12.37 (when x ≈ -3.79)

Therefore, there are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

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For the given trapezoid with vertices A(2,0), B(8, – 4), C(12, 2), D(0, 10) the exact length of the midsegment is equal to 3√13 units.

As given in the question,

In the given trapezoid ,

Vertices of the trapezoid is given by :

A(2,0), B(8, – 4), C(12, 2), D(0, 10)

Slope of the AB

= (-4 -0)/(8 - 2 )

= -2/3

Slope of the CD

= (10 -2)/(0 - 12 )

= -2/3

Slope of AB = Slope of CD

AB is parallel to CD

Length of AB

= √( -4 -0)² + ( 8 -2)²

= √16 + 36

= 2√13

Length of CD

= √( 10 -2)² + ( 0 -12 )²

=√ 64 + 144

= 4√13

Exact length of the midsegment

= Length of ( AB + CD ) / 2

= ( 2 + 4 )√13 / 2

= 3√13 units.

Therefore, the exact length of the midsegment of the given trapezoid is equal to 3√13 units.

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Answer:

12th term = -38

Step-by-step explanation:

10 - 4(12)

10 - 48

-38

I hope this helps.

Total number of tickets is one thousand.

Formula for probability is given below as,

Probability of one $1000 prize is given below as,

Probability of one $400 prize is given below as,

Probability of ten $100 prize is given below as,

For the expected value if each person buys one ticket,

Expected value is $12

The derivative of the function is

A) dw/dz=z^5 (7z-18)

B) dh/dx=192x^11+36x^5-6x^2+19

C) dy/dx=24x^2-38x-15

In mathematics, the derivative of a function measures the sensitivity to change of the function value with respect to a change in its argument. It is the rate of change of a function with respect to a variable.

A) w = z^7 – 3z^6 + 14

dw/dz=7z^6-18z^5

dw/dz=z^5 (7z-18)

B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7

dh/dx=192x^11+36x^5-6x^2+19

C) y = (8x + 5)(x^2 – 3x)

dy/dx=  d/dx  [8x+5]*〖(x〗^2-3x)+(8x+5)*d/dx[x^2-3x]

dy/dx=(8*  d/dx  [x}+d/dx[5])*〖(x〗^2-3x)+(8x+5)*(d/dx[x^2]-3 d/dx[x])

dy/dx=(8*1+0)(x^2-3x)+(8x+5)(2x-3*1)

dy/dx=8(x^2-3x)+(2x-3)(8x+5)

dy/dx=24x^2-38x-15

Note: The question is incomplete. The complete question probably is: Find the derivative of the following function: A) w = z^7 – 3z^6 + 14 B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7 C) y = (8x + 5)(x^2 – 3x).

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composite function J[P(W)=J(1/3w+4) represent paintings Jeremy completes in a year .

this equation means number of paintings= weeks(rate)

The function P takes a number of weeks as an argument and returns the number of paintings.

The function J takes some argument (unspecified) and returns a number of weeks per year.

The composite function that will give the number of paintings per year will be P(weeks per year) = P(J(y)).  

P(J(y)) = 1/3·J(y) +4 .

Looking at the units of the input and output of each of the functions is called "units analysis."

Unit analysis means using the rules of multiplying and reducing fractions to solve problems involving different units.

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Answer:

P[J(y)] = 1/3 (Jy) + 4

Answered the quiz and it's correct.

Answer: 99013114

Step-by-step explanation: Due to the solution to your question. 2234x44321= 99013114. This is because we multiply each digit to its own other digit.

Answer:

a=10.8; c=4.3

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

Two of the angles are given as 40 deg and 120 deg.

Subtract the measures of both from the sum to get the last angle:

180-40-120=20; ∠C=20°

Using Law of Sines: \(\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}\)

\(\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084\)

\(\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109\)

Answer:

c=20 a=10.8 c=4.3

Step-by-step explanation:

15/4 divided by 5/8 = 6/1 = 6

An expression is a collection of variables and constants that are bound by some mathematical operation the value for w for the given expression w -5.36=10+w/6 is 18.432.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

w - 5.36 = 10 + w/6

Subtract w/6 both sides,

w - w/6 - 5.36 = 10 + w/6 - w/6

5w/6 = 10 + 5.36

w = 18.432

Hence "The value for w for the given expression w -5.36=10+w/6 is 18.432".

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False. The metric system is a decimalized system of measurement, but it is not used exclusively in the United States.

In fact, the United States primarily uses the U.S. customary system, while the metric system is widely used in most other countries around the world.

Most nations throughout the world use the metric system, a decimal-based measurement system that is universally recognised. It offers a standardised method for gauging temperature, length, mass, and other physical attributes. The metre (for length), kilogramme (for mass), second (for time), ampere (for electric current), kelvin (for temperature), mole (for amount of material), and candela (for luminous intensity) are the basic units of the metric system. Because the metric system is based on powers of 10, converting between units is simple. Global communication and trade are made easier by its promotion of usability, consistency, and compatibility across scientific, industrial, and everyday uses.

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