Which of the following is not the square of a perfect square

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

Answer:

The probability is 0.33

Step-by-step explanation:

Please find the attachment for detail

The proportional relationship used to find B, the area of the base with a volume of V, is given as follows:

B = V/6.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

From the table given in the image at the end of the answer, we have that the base area is a sixth of the volume, hence the equation is:

B = V/6.

The table is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

I think its C

Step-by-step explanation:

If its right can i get brainliest

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

Answer:

a = 38⁰

b = 54⁰

c = 54⁰

Step-by-step explanation:

a + 142⁰ = 180⁰ because a straight line = 180⁰

b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a

c + 88⁰ = 142⁰ because the angles are corresponding angles

Answer:

complementary angles

Step-by-step explanation:

Complementary angles add to 90 degrees

Supplementary angles add to 180 degrees

A right angle is 90 degrees so they are complementary angles

Answer:

3

Step-by-step explanation:

Let us plug y into the equation:

6*1-3*1=

6-3=

3

I hope this helps! :)

Answer:

3

Step-by-step explanation:

you need to substitute the y for 1 because y=1

so it'll look something like this 6(1) - 3(1)

The y is touching the 6 and -3 so that means you need to multiply.

So 6(1) - 3(1) = 6-3 = 3

Answer:

B) 10^0

Step-by-step explanation:

Well when dividing an exponent, you subtract the exponents but keep the base, this is the rule of exponents.

So in this case you got 10^-3/10^-3

SO you subtract the wo exponents and don’t forget to keep the sign

-3-(-3)

or -3+3

so 0

so final answer is 10^0

Answer:

The correct answer is B. 10(0).

Step-by-step explanation:

10^3 =

10 x 10 x 10 =

1,000

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

1,000 ÷ 1,000 = 1

10(0) = 1

Therefore, the correct answer is B. 10(0).

Hope this helps! :D

Answer:

Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.

Step-by-step explanation:

The correlation​ matrix provided is:

Variables    Paper     Glass

  Paper           1         0.1853

 Glass        0.1853         1

Te hypothesis for the test is:

H₀: ρ = 0 vs. H₀: ρ ≠ 0

The test statistic is:

r = 0.1853 ≈ 0.185

As the alternate hypothesis does not specifies the direction of the test, the test is two tailed.

The critical value for the two-tailed test is:

\(r_{\alpha/2, (n-2)}=r_{0.05/2, (62-2)}=r_{0.05/2, 60}=0.250\)

The conclusion is:

Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.

Answer:

Exact Form: − 29 30 Decimal Form: − 0.9 ¯ 6

Hoped I helped

Answer:

in order from left to right : NO, NO, YES, NO, YES, NO

Step-by-step explanation:

here's how you can tell! if any point on the line (or singular point) lines up VERTICALLY with a different point, it automatically is not a true function. thats why a vertical slope is "undefined" because its not a function.

i hope this made sense... have a good day !

The pair C option of adjacent angles is supplementary. (See in the below figure)

Supplementary angles are pairs of angles that add up to 180 degrees. In other words, when two angles are placed side by side, and their measures sum up to 180 degrees, they are said to be supplementary angles.

If we see the options one by one then; (See the second figure)

Option A. ∠1 + ∠2 = 90° + 30° = 120°

Option B. ∠1 + ∠2 = 90° + 40° = 130°

Option C. ∠1 + ∠2 = 75° + 105° = 180°  (supplementary angle)

Option D. ∠1 + ∠2 = 25° + 65° = 90°

Therefore, the pair C option of adjacent angles is supplementary.

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The pair C option of adjacent angles is supplementary. (See in the below figure)

Supplementary angles are pairs of angles that add up to 180 degrees. In other words, when two angles are placed side by side, and their measures sum up to 180 degrees, they are said to be supplementary angles.

If we see the options one by one then; (See the second figure)
Option A. ∠1 + ∠2 = 90° + 30° = 120°
Option B. ∠1 + ∠2 = 90° + 40° = 130°
Option C. ∠1 + ∠2 = 75° + 105° = 180°  (supplementary angle)
Option D. ∠1 + ∠2 = 25° + 65° = 90°
Therefore, the pair C option of adjacent angles is supplementary.

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Answer:

$0.45

Step-by-step explanation:

We know that Molly paid $3.60 for 8 apples, that means that $3.60 is consisted of 8 equal prices (each price is equal to the cost of one apple). From here we can make an equation.

Let "a" be the price of one apple, then

8a = $3.60

8a / 8 = $3.60

a = $0.45

Now we know that Molly paid $0.45 for each apple in the bag.

Answer:

√10

Step-by-step explanation:

Area of a rectangle = length * width

Area = 3√50

length = 3√5

width =  3√50 ÷ 3√5 = √10

Answer:

\(\displaystyle w = \sqrt{10}\text{ yd}\)

Step-by-step explanation:

We are given the area and length of a rectangle and we want to determine the width.

Recall that the area of a rectangle is given by:

\(\displaystyle A = \ell w\)

Substitute in known values:

\(\displaystyle (3\sqrt{50}) = (3\sqrt{5})w\)

Solve for the width w:

\(\displaystyle \begin{aligned} w & = \frac{3\sqrt{50}}{3\sqrt{5}} \\ \\ & = \frac{\sqrt{10 \cdot 5}}{\sqrt{5}} \\ \\ & = \frac{\sqrt{10}\cdot \sqrt{5}}{\sqrt{5}} \\ \\ &= \sqrt{10} \text{ yd}\end{aligned}\)

In conclusion, the width of the rectangle is √10 yards.

Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

(Weight (lb), Price ($) ) = (0.45,2.3)

That means :

1) So, if we want to find the price per pound, we'll divide 2.3 by 0.45:

=> \(\frac{\$ 2.3}{0.45 \ lb}\) [True]

2) Second Statement: [False]

The weight of every 0.45 lb of bag is 2.3 pounds not for per bag.

3) Third Statement: [False]

2.3 pounds of almonds cost $0.45

This is incorrect according to the graph.

4) Fourth Statement: [False]

Almonds cost $0.45 per pound

Let's check it out

0.45 lb = $2.3

Dividing both sides by 0.45

1 lb = $5.11

It is not $4.5

5) Fifth Statement: [True]

0.45 pounds of almond costs $2.30

For every 0.45 pounds, there are $2.30 . So, this statement is true!

To find the value of f(g(-4)), we need to first substitute -4 into the definition of g(x) and then substitute the result into the definition of f(x).

First we substitute -4 into g(x):

g(-4) = 2(-4)^2 + 4(-4) - 8

g(-4) = 2(16) + (-16) - 8

g(-4) = 32 - 16 - 8

g(-4) = 8

Now we substitute 8 into f(x):

f(g(-4)) = f(8) = 2(8) - 4 = 16 - 4 = 12

So the value of f(g(-4)) is 12.

Answer:

28

Step-by-step explanation:

The expression: f(g(-4)) just means calculate the value of g at x = -4 and then calculate what f is equal to at that value g is equal to, so we have to first calculate g(-4) which we can do by substituting in -4 as x.

g(-4) = 2(-4)^2 + 4(-4) - 8

g(-4) = 2(16) - 8 - 8

g(-4) = 32 - 16

g(-4) = 16

Now from here we can substitute 16 as g(-4) in the expression f(g(-4)) which means we want to evaluate g(16) which we can do by substituting in 16 as x.

f(16) = 2(16) - 4

f(16) = 32 - 4

f(16) = 28

So that means f(g(-4)) = 28

Answer:C, a number, x, is greater than 5 or less than 10.

The disjunction from the above that is always true is:

A number, x, is greater than 5 or less than 10. (Option C)

In mathematics, a disjunction occurs when the connector between two or more statements is given as "or".

A disjunction is also formed when there is a compound mathematical statement that is formed using the word "or".

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22π  m²  is the exact surface area of a cylindrical propane tank.

What are volume and surface area?

The entire area of all the faces makes up the surface area of a three-dimensional form. We measure the areas of each face and put them together to determine the surface area of a shape.

                    The surface-area-to-volume ratio, also known as the surface-to-volume ratio or abbreviated as SA:V, refers to how much surface area there is in each unit volume of an object or collection of objects.

A=2πrh+2πr²

 =2π * 1* 10 +2π* 1²

  = 2π( 10 + 1)

  = 2π * 11

  = 22π  m²

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The volume of a perfect ball is \(V=\frac{4\pi r^3}{3}\).

In your case

\(V=\frac{4\pi 12.1^3}{3}=7420.7\approx7421\mathrm{cm^3}\)

Hope this helps.

The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Given:

A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport.

The total charge is AED 135.

To find:

How far, in kilometers, is the trip to the airport?

Solution:

Let x km be the trip to the airport.

A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport. So, total changes for x km trip is

\(T=10+250x\)

The total charge is AED 135.

\(10+250x=135\)

\(250x=135-10\)

\(250x=125\)

Divide both sides by 250.

\(x=\dfrac{125}{250}\)

\(x=\dfrac{1}{2}\)

\(x=0.5\)

Therefore, the trip to the airport is 0.5 km.