Find the smallest integer p, such that 126p is a perfect square

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

Answer:

(-3,2)

Step-by-step explanation:

Eliminate the equal sides of each equation and combine

5x + 17 = -2x - 4

Solve

x = -3

Evaluate  y  when  x  =  − 3 .

y = 2

(-3,2)

hope this helps :)

To solve the cash flow diagram and determine the factors and NPV, we have the following information:

V1 = $2,000.0 (Initial cash inflow)

V2 = $3,679.1 (Cash inflow at year 5)

D = $305.4 (Cash outflow at year 5)

A = $287.5 (Annual cash inflow)

g = 2.7% per year (Growth rate)

i = 6% (Discount rate)

Let's calculate the factors for each cash flow using the X, i, and N format:

Factor for V1: X = V1

               i = 6%

               N = 0 (Year 0)

               FV = V1

Factor for V2: X = V2

               i = 6%

               N = 5 (Year 5)

               FV = V2

Factor for D:  X = -D

              i = 6%

              N = 5 (Year 5)

              FV = -D

Factor for A:  X = A

              i = 6%

              N = 1, 2, 3, 4 (Years 1 to 4)

              FV = A * (1 + g)^N

Now, let's calculate the future value (FV) for the annual cash inflow using the growth rate:

FV = A * (1 + g)^N

FV = $287.5 * (1 + 2.7%)^1 + $287.5 * (1 + 2.7%)^2 + $287.5 * (1 + 2.7%)^3 + $287.5 * (1 + 2.7%)^4

Once we have the factors and the FV for each cash flow, we can calculate the Net Present Value (NPV) using the formula:

NPV = (Factor for V1 * FV for V1) + (Factor for V2 * FV for V2) + (Factor for D * FV for D) + (Factor for A * FV for A)

By substituting the respective factors and FV values into the NPV formula, we can calculate the NPV of the cash flow diagram.

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Answer:

• 7

• 7

Explanation:

The absolute function is a function that always returns a positive value.

In general, the absolute value of any number is the positive of that number.

The P∩V is {2,4,6,8}.

From the question, we have

P= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

V= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}

P∩V = {2,4,6,8}

Intersection of Sets:

The set that contains all the elements that are shared by two given sets is the intersection of the two sets. The intersection of sets is represented by the symbol "∩". The intersection A∩ B (also written as A intersection B) lists all the elements that are shared by any two sets A and B that are present in both sets.

For instance, if Set A = 1, 2, 3, 4, and Set B = 3, 4, 6, then A ∩B = {3,4}.

Complete question:

Suppose P = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and V = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}. what is P ∩ V ?

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Answer:

(0,6) (-2,5) (1,3)

Step-by-step explanation:

The dilation transformation gives an image that is similar to the pre-image but have a different size.

A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure.

We have,

scale factor = 3

and, centered at (-7, -6).

Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)

The given points relative to the center of dilation are;

(-7 - (-7), -3 - (-6)) = (0, 3)

(-3 - (-7), -2 - (-6)) = (4, 4)

(-4 - (-7), -5 - (-6)) = (3, 1)

and, after the dilation is

3 × (0, 3) = (0, 9)

3 × (4, 4) = (12, 12)

3 × (3, 1) = (9, 3)

Adding the coordinates of the center of dilation are

A' = (0 + (-7) , 9 + (-6)) = (-7, 3)

B' = (12 + (-7) , 12 + (-6)) = (5, 6)

C' = (9 + (-7) , 3 + (-6)) = (2, -3)

Therefore, the image is A'(-7, 3), B'(5, 6), C'(2, -3).

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Answer:

Step-by-step explanation:

I can tell you what it represents, but not what it means. Or maybe the units.

V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.

V = 4/3 * pi * r^3

V(5/7) = 4/3 * 3.14 * (5/7)^3

V(5/7) = 4/3 * 3.14 * 125 / 343

V(5/7) = 4/3 * 3.14 * 0.3644

V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)

Answer: the slope of the line is 4

Step-by-step explanation:

We only need two ordered pairs to find the slope

(-2,-10), (-1,-6)

the slope formula is y2-y1/x2-x1

-6-(-10)/-1-(-2)

-6+10/-1+2

4/1

4

the slope of the line is 4

Answer:

4

Step-by-step explanation:

Knowledge Needed

The slope is the amount the y-value changes on a line when the x-value changes by 1.

Slope Formula: \(\frac{y_2-y_1}{x_2-x_1}\)

Question:

We have the points:

(-2,-10)

(-1,-6)

(0,-2)

(1,2)

We only need 2 points to plug into the slope formula. I'll use the first 2.

(-2,-10) ; (-1,-6)

\(\frac{-6--10}{-1--2}\)

\(\frac{4}{1}\)

4

Answer:

6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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To find the number of other flowers needed, she subtracts the number of roses from the total number of flowers. 36 minus 12 is 24. Thus, Diva needs 24 other flowers to finish the arrangement.

To solve the above word problem, let's follow the steps given below:

Step 1: Find the total number of flowers in the arrangement since the number of roses is known. Divide the number of roses by 1/3 to get the total number of flowers in the arrangement. 1/3 of the arrangement is roses. 12 roses represent 1/3 of the arrangement. 12 is equal to 1/3 of the total number of flowers in the arrangement.

Thus, let the total number of flowers in the arrangement be x.1/3 of the arrangement, which means:

(1/3) x = 12

Divide both sides of the equation by 1/3 to isolate x.

x = 12 ÷ 1/3x

= 12 × 3x

= 36

Step 2: Find the number of flowers that are not roses. Since Diva wants 1/3 of the arrangement to be roses, 2/3 of the arrangement should be other flowers.2/3 of the arrangement = 36 - 12

= 24 flowers.

Thus, Diva needs 24 other flowers to finish the arrangement. Diva wants to make a flower arrangement for her aunt's birthday. She has 12 roses, and she wants 1/3 of the arrangement to be roses. To find the number of other flowers needed, she must determine the total number of flowers needed for the entire arrangement.

She knows the 12 roses represent 1/3 of the arrangement. Thus, to find the total number of flowers in the arrangement, she must divide 12 by 1/3. This gives her x, which is equal to 36.

To find the number of other flowers needed, she subtracts the number of roses from the total number of flowers. 36 minus 12 is 24. Thus, Diva needs 24 other flowers to finish the arrangement.

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The type of correlation between the two variables on the graph is a strong correlation

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

The graph

On the graph, we can see that

As x increase, the value of y also increases (however, not perfect)

This means that the correlation between the two variables is fairly positive i.e. a strong correlation

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Answer:

ead the excerpt from "The Most Dangerous Game,” by Richard Connell.

His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.

Which analysis best explains the effect of adding the female character

Step-by-step explanation:

Answer:

s/5

Step-by-step explanation:

its s/5 because the letter is always on top and yea..

The rate of decay r is -0.139.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The exponential function \(y = 3.31(0.87)^x\) can be written in the form

\(y = ab^x,\)

where a = 3.31 and b = 0.87.

The formula for the rate of decay for an exponential function in the form

\(y = ab^x\)is r = ln(b)

where ln is the natural logarithm.

In this case,

r = ln(0.87) ≈ - 0.139.

Since r represents the rate of decay as a decimal, the answer is r = - 0.139.

Thus,

The rate of decay r is - 0.139.

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Answer:

Y - intercept is 1 , slope is 3

Answer:

i think its 6, but tell me is it multiple choice.

Step-by-step explanation:

Answer:

Step-by-step explanation:

first step

let's create the equation word problem

let's solve

let my mother's and sister's age be x and y respectively

according to the first condition,x=4y....(I)

according to the 2nd condition,x+5=2(y+5×2).....(ii)

so the system of linear equations is

x=4y

x+5=2(y+5×2)

gets from the second equation

x+5=2(y+10)

x+5=2y+20

4y+5=2y+20 (as x=4y)

2y=15

y=7.5

so the age of mother is

x=4.(7.5)

x=30

Answer:

okay here is what i think see if my explanation will help

Step-by-step explanation:

i think

(4*3/10)*3 get it just follow this work it out and tell me your answer

Number C₃ = 5 is written in the center.

Matrices are the arrangement of numbers, variables, symbols, or expressions in the rectangular format, in the form of rows and columns.

Square matrix is a matrix with the same number of rows and columns.

Given,

Sum of neighbors of 6 and 8  is 10.

By the figure,

If C₁ = 6

then, 1 + C₃ + 2 = 10 ⇒ C₃ = 7

But if C₃ = 7, then sum for neighbors of any unknown column cannot be 10.

Now, C₂ = 5

then, 1 + C₃ + 4 = 10 ⇒ C₃ = 5

Considering

C₃ + 2 + 3 = 10 that are neighbors to C₄

5 + 2 + 3 = 10

Thus, C₄ = 8

Hence, C₃ = 5 is the number written in center.

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Answer:

5/7

Step-by-step explanation:

You are adding both fractions together to determine the total of the floor they both cleaned in all.

so 2/7 + 3/7 =    

To add fractions, you need both denominators to be the same. In this case, they are already the same so you don't need to adjust the fraction before adding them.

Now all you need to do is to add the numerators together so

2 + 3 = 5

So you put the numerator total over the common denominator.

* You do not add the denominators, only the numerators.

5/7

This is the expression for ∂z/∂u using the Chain Rule.

To find ∂z/∂u using the Chain Rule, we first need to find the partial derivative of z with respect to r and θ.
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Next, we can use the Chain Rule to find ∂z/∂u:
∂z/∂u = (∂z/∂r) * (∂r/∂u) + (∂z/∂θ) * (∂θ/∂u)
We know that r= 6 uv and θ = √(u^2+v^2 ), so we can substitute those values in:
∂z/∂u = (e^(r cos θ) cos θ) * (6v) + (-e^(r cos θ) r sin θ) * (u/√(u^2+v^2 ))
Simplifying this expression, we get:
∂z/∂u = 6ve^(6uv cos(√(u^2+v^2 )))cos(√(u^2+v^2 )) - (u/√(u^2+v^2 ))e^(6uv cos(√(u^2+v^2 )))r sin(√(u^2+v^2 ))
We have z = e^(r cos θ), r = 6uv, and θ = √(u^2 + v^2). We need to find ∂z/∂u.
Using the Chain Rule, we get:
∂z/∂u = (∂z/∂r)(∂r/∂u) + (∂z/∂θ)(∂θ/∂u)
First, let's find the partial derivatives of z:
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Now, find the partial derivatives of r and θ with respect to u:
∂r/∂u = 6v
∂θ/∂u = u / √(u^2 + v^2)
Now, substitute these partial derivatives back into the Chain Rule formula:
∂z/∂u = (e^(r cos θ) cos θ)(6v) + (-e^(r cos θ) r sin θ)(u / √(u^2 + v^2))
This is the expression for ∂z/∂u using the Chain Rule.

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The general form of an equation of a line is;

y = mx + b

You can obtain the equation of the given line by calculating the slope m and the y-intercept.

You use the following formula for the slope:

where (x1,y1) and (x2,y2) are two points of the line. You can observe that two pointsof the line are (0,-2) and (4,0).

You replace the previous coordinates into the formula for m:

Next, you use the same formula for m to obtain the y-intercep b. You proceed as follow:

where (x1,y1) is a point of the line, if you use the point (0,-2), you have:

Hence, the equation of the line of the graph is:

y = 1/3x - 2

Answer:

Step-by-step explanation:

do I

A man runs for an hour and a half at 8 miles an hour due south. he then continues south on a bus traveling at 55 miles an hour for 24 minutes. He will traveled 34 miles.

He covered 8 miles the first hour, and then half of that in his next half hour,

So, 8+4 = 12 miles.

The bus took 24 minutes, which is \(\frac{2}{5}\) of an hour.

\(\frac{60}{5} = 12\)

So, after 12 minutes on the bus, he travelled \(\frac{55}{5} = 11\) miles

And after 24 minutes, 22 miles.

In total 12+22=34 miles.

Speed(v) is related to distance(d) and time(t) by

v= \(\frac{d}{t}\).

Equivalently, d= v×t

So, d= 8×1.5+55×24×\(\frac{1}{60}\)

= 34 miles.

Therefore, he traveled 34 miles.

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Answer and Step-by-step explanation:

The answer to this question is 21.

We can easily find the height of the triangle by going to the bottom point of the triangle and counting up each line.

The height is equal to 6.

When we create this line for the height, it sections off two triangle, one with a side of 4 and the other with a side of 3.

To find the area of a triangle, we must Multiply the side lengths together, then Divide by 2.

Triangle 1

4 × 6 = 24

24 ÷ 2 = 12

Triangle 2

3 × 6 = 18

18 ÷ 2 = 9

Now, we add together the areas to get the area of the full triangle.

12 + 9 = 21.

The area of the triangle is 21 \(cm^2\).

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Answer:

She would have to work 5 hours to make $105.

Step-by-step explanation:

First Step: Find Unit Rate

189/9 = 21

9/9 = 1

Every 1 hour she gets paid $21.

Step 2: Find how much she needs to work to get paid $105

105/21 = 5

A sample size of 17 is required to construct a 90% confidence interval for a population proportion with an error of 0.2.

To determine the sample size required to construct a 90% confidence interval for a population proportion with an error of 0.2 (or 20%), we need to use the formula for sample size calculation in proportion estimation.

The formula for sample size in proportion estimation is:

n = (Z² * p * q) / E²

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (90% confidence level corresponds to a Z-score of approximately 1.645)

p = estimated or assumed population proportion (since there is no knowledge about the population proportion, we can assume a conservative value of 0.5 to get the maximum sample size)

q = 1 - p (complement of p)

E = desired margin of error (0.2 or 20% in this case)

Substituting the values into the formula:

n = (1.645² * 0.5 * (1 - 0.5)) / 0.2²

n = (2.705 * 0.5 * 0.5) / 0.04

n = 0.67625 / 0.04

n ≈ 16.90625

Since the sample size must be a whole number, we round up the result to the nearest whole number:

n = 17

Therefore, a sample size of 17 is required to construct a 90% confidence interval for a population proportion with an error of 0.2.

It's important to note that this calculation assumes maximum variability in the population proportion (p = 0.5) to ensure a conservative estimate. If there is any information or prior knowledge available about the population proportion, it should be used to refine the sample size calculation.

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