The Pappas family has two cats, Zeus and Athena. Together they weigh nine pounds. Zeus weighs 3 pounds less than Athena. How much does Athena weigh?

Answer:

From the analysis W1=W2.

they are directly related

Step-by-step explanation:

the work-done in stretching a spring can be expressed as

\(W=\frac{1}{2}kx^2\)

where k= spring constant

           x= change on length of spring

Hence for W1

Given data

x= 34-24= 10 cm

solving in terms of k we have

\(W=\frac{1}{2}k*10^2\\\W=\frac{1}{2}k*100\\\W=50k\)

Hence for W2

Given data

x= 44-34= 10 cm

solving in terms of k we have

\(W=\frac{1}{2}k*10^2\\\ W=\frac{1}{2}k*100\\\ W=50k\)

Answer:

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

From the given expression |3n|-7, the statement that correctly describes this expression is 7 subtracted from the absolute value of three times a number.

Hence, the correct option is C.

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Answer: 26

Step-by-step explanation:

The closest number of values above 91 is 23.

We have,

To find the closest number of values that would be above 91 in a normal distribution with a mean of 75 and a standard deviation of 8, we need to calculate the z-score for the value 91 and then find the proportion of values above that z-score.

The formula for calculating the z-score is:

z = (x - mean) / standard deviation

where x is the value of interest, the mean is the mean of the distribution, and the standard deviation is the standard deviation of the distribution.

In this case,

x = 91, mean = 75, and standard deviation = 8.

Plugging these values into the formula, we get:

z = (91 - 75) / 8 = 2

To find the proportion of values above a z-score of 2, we can refer to the z-table or use a calculator that provides the cumulative distribution function (CDF) for the standard normal distribution.

Looking up the z-score of 2 in the z-table or using a calculator, we find that the proportion of values above a z-score of 2 is approximately 0.0228.

To determine the number of values above 91 in a distribution of 1027 values, we multiply the proportion above 91 (0.0228) by the total number of values (1027):

Number of values above 91 = 0.0228 x 1027 ≈ 23.47

Since we are looking for the closest whole number, the closest number of values above 91 would be 23.

Therefore,

The closest number of values above 91 is 23.

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Answer: b

Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27

Answer:

Its B

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

299+428-62-106-126-195

727-62-106-126-195

665-106-126-195

559-126-195

433-195

238

Answer:

The scale factor is 3/2.

Step-by-step explanation:

Let's use the side PQ.

The original length was 8 units.

And the new length is 12 units.

Let the scale factor be k. Therefore:

\(8k=12\)

By dividing both sides by 8, we can see that our scale factor from ΔPQR to ΔP'Q'R' is:

\(\displaystyle k=\frac{12}{8}=\frac{3}{2}\)

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

Answer:

option B: 15\(x^8 y^5 z^7\)

Step-by-step explanation:

we just calculate 5 x^4 y^2 z^2 multiplied by 3x^4 y^3 z^5

and that gives the answer

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

Answer:

thx u xox ur so sweet

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

Since the dilated side length will be 73 times the length, 73 x 2 is 146. :)

Answer:

Ones

Step-by-step explanation:

The last digit will always be the ones place no matter what.

Answer:

ONES

Step-by-step explanation:

Answer:

21 rides

Step-by-step explanation:

let x = number of rides you can ride

32.50 + 0.80x \(\leq\) 50

subtract 32.50 from both sides

0.8x \(\leq\) 17.5

divide the left and right by 0.8

x \(\leq\) 21.875

this means you can ride 21 times, because you can't ride a ride unless you can afford the whole cost

how to check; 32.50 + 0.8(21) is 49.30 and 80 cents more would go over your 50 dollar spending limit

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 650 and a standard deviation of 24.

This means that \(\mu = 650, \sigma = 24\).

Sample of 36:

This means that \(n = 36, s = \frac{24}{\sqrt{36}} = 4\)

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Answer:

x = 1/6

hopefully

Option A

Answer:D’ (0, -1)

Step-by-step explanation:

Answer:

I believe the answer is (-4,-4)

Step-by-step explanation:

The question is asking for the coordinate of point D

If you count the space of lines on the y and x coordinates, you end up with your answer with point D.

a) \(\angle QST\)

b) Arc QT

c) Arc QRS

d) 105 degrees

e) 255 degrees

Let

x ------> number of hours Job A

y -----> number of hours Job B

we have that

x+y=22 ------> x=22-y ------> equation 1

6.40x+6.60y=143.60 ------> equation 2

Solve the system of equations

substitute equation 1 in equation 2

6.40(22-y)+6.60y=143.60

solve for y

140.8-6.40y+6.60y=143.60

0.20y=143.60-140.8

0.20y=2.8

y=14 hours

so

x=22-14=8

therefore

The value of x in 42/100 of x over 35 based on the computation is 14.7.

It should be noted that a fraction simply means a number that's not a whole number.

Based on the information, we want to calculate 42/100 × x/35. This will be illustrated thus:

= 42/100 × x/35.

Cross multiply

(100 × x) = (42 × 35)

100x = 1470

Divide through by 100

100x / 100 = 1470 / 100

x = 14.7

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The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer:

x/7

Step-by-step explanatio

Answer:

A =  225 π  c m \(x^{2}\)

Step-by-step explanation:

the area of a circle formula with radius  

A  =  π r\(x^{2}\)  

in this case

A = π ×  15\(x^{2}\)  

A  =  225 π  c m\(x^{2}\)

Answer:

Step-by-step explanation:

Area of a circle = π r²        you are given the r  radius =  15cm

   area = π 15² cm

Answer:

\(the \: answer \: i s \: 89100000 \\ to \: be \: honest \: it \: wasnt \: that \: hard\)

Answer:

89100000

Step-by-step explanation:

That wasn't tricky but okay!

10 to the power of 7 is basically 10000000

Just multiply 8.91 by 10000000 and you have the answer

When solving a linear system of equations, you are looking for the points of intersection between the equations

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

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

16 pounds of seed are needed to completely plant a 3-acre field

To plant one acre of field, 16/3 pounds will be needed

Answer:

12 + x --> 18

3x + y --> 23

4y - 10 --> 10

(1)/(2)xy --> (1)/(60)

Step-by-step explanation:

Let's evaluate each expression with the given values of x=6 and y=5:

Expression: 12 + x

Substituting x=6 into the expression, we get: 12 + 6 = 18

Expression: 3x + y

Substituting x=6 and y=5 into the expression, we get: 3(6) + 5 = 18 + 5 = 23

Expression: 4y - 10

Substituting y=5 into the expression, we get: 4(5) - 10 = 20 - 10 = 10

Expression: (1)/(2)xy

Substituting x=6 and y=5 into the expression, we get: (1)/(2)(6)(5) = (1)/(2)(30) = (1)/(60)

Consider the following inequality:

solving for 1.05D, we get:

this is equivalent to:

Now, solving for D, we get:

this is equivalent to:

we can conclude that the correct answer is:

Answer:

The answer is 13,200 feet.

Step-by-step explanation:

1 mile equals 5,280 feet, So all we have to do is multiply 5,280 by 2.5 miles.

5,280 * 2.5 = 13,200.

If you don't have a calculator you can multiply be splitting the parts.

5,280 * 2 = 10,560

+ 2,640 = 13,200

You get the 2,640 feet by dividing 5,280 by 2 because the 0.5 in 2.5 is half of a mile and 5,280 feet is a whole mile. Meaning that we have to cut the 5,280 in half to find the 0.5 in 2.5

Hope this helps! :)

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Answer:

13200 feet. Guaranteed

Step-by-step explanation: