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The factor pair of 36 whose sum is -20 are -2 and -18.

Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.

For example, 10 = 2 × 5

So we can say that 2 and 5 are factors of 10.

Let x and y be the two factors of the number 36.

Then we have,

x × y = 36

Write the factors of the number 36 as the product.

36 = 1 × 36, sum = 1 + 36 = 37

36 = -1 × -36, sum = -1 - 36 = -37

36 = 2 × 18, sum = 2 + 18 = 20

36 = -2 × -18, sum = -2 - 18 = -20

Hence the factor pair of 36 whose sum is -20 are -2 and -18.

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Using logarithmic properties, the solution to the given logarithmic equation is y = 7

From the question, we are to determine the solution to the given equation

The given equation is

[tex]log_{11}(y+8) + log_{11}(4) = log_{11}(60)[/tex]

Applying the product law of logarithms, we get

[tex]log_{11}(y+8) \times (4) = log_{11}(60)[/tex]

This gives

[tex]log_{11}(4y+32) = log_{11}(60)[/tex]

Applying the equality law of logarithm, we get

[tex]4y + 32 = 60[/tex]

[tex]4y = 60-32[/tex]

[tex]4y =28[/tex]

∴ y = 28/4

y = 7

Hence, the solution to the given logarithmic equation is y = 7

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Check the picture below.

well, the volume of the craft prism will simply be length * width * height, and we know that is 7140.

[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=17\\ h=28\\ V=7140 \end{cases}\implies \begin{array}{llll} 7140=(17)w(28)\implies \cfrac{7140}{(17)(28)}=w \\\\\\ 15=w \end{array}[/tex]

we know the area of the top is just w * 17, and the circle is just 2/5 of that, well that's just

[tex]\cfrac{2}{5}(15)(17)\implies (2)(17)\cfrac{15}{5}\implies (2)(17)3\underset{\textit{area of the circle}}{\implies 102~in^2}[/tex]

Considerando la definición de potencia, en total hay 125 frascos.

La potencia es la manera de simplificar la multiplicación de un factor por sí mismo varias veces.

Las potencias están formadas por la base y por el exponente. La base es el número que se está multiplicando varias veces y el exponente es el número de veces que se multiplica la base.

Siendo "b" la base y "n" el exponente, la potencia se representa como [tex]b^{n}[/tex].

En una bodega hay 5 torres de cajas que contiene cada una 5 filas con 5 frascos de miel. Esto se puede representar mediante la potenciación como: 5³

Resolviendo se obtiene: 5³= 125

Finalmente, en total hay 125 frascos.

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Step-by-step explanation:

I think angle A = 21 degree

because in the question there is angle A Is twice means angle a + angle a= 4G degree

2 angle a=42 degree

42 divides by 2

answer is 21 degree

Answer:

Step-by-step explanation:

((8 x 10) x 3) + ((9 x 8)/2) x2 = (80 x 3) + (72/2) x 2
                                             = 240 + (36 x 2)
                                             = 240 + 72
                                             = 312

The true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

In this situation, the function is f (t), when t is a value between 0 and 30. The cost is $0 for the first 30 minutes

When t is a value between 30 and 90, the cost is US$ 5 if the connection takes between 30 and 90 minutes.

Here, the true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

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Answer:

Choice 4^th

Step-by-step explanation:

Given:

1/2+3/4+7/16 = __

To Solve:

Addition equation by finding a common multiple.

Solution:

Let the blank _ be x.

Then,

1/2+3/4+7/16 = x

Flip this equation:

Now solve for x.

Hence,

1/2+3/4+7/16 = 27/16

4^th Choice is accurate.

Answer:

(0, 20); y= one over eighty x squared +20

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

8/12 you pick an office worker

4/12 chance you pick a manager

8/12 multiplied by 4/12 is 32/144

We can simplify this to 16/72

We can simplify this to 8/36

We can simplify this to 4/18

We can simplify this to 2/9

[tex]\text{L.H.S}\\\\=\dfrac{1+\tan x}{ 1+ \cot x}\\\\\\=\dfrac{1+ \tan x}{ 1+ \tfrac 1{\tan x}}\\\\\\=\dfrac{1+\tan x}{\tfrac{\tan x+1}{\tan x}}\\\\\\=(1+\tan x) \times \dfrac{\tan x}{1+ \tan x}\\\\=\tan x\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

UV = 5

Step-by-step explanation:

Hello there!

Given such a problem, you have to consider where you are beginning, the middle and you end point. Here we have T (starting point), U ( middle- not necessarily center) and V (end point).

From our question, we have;

TV = 13 and TU = 8

To get UV, we subtract TU from TV as shown:

UV = TV - TU

= (13 - 8)

= 5

. ° . UV is 5

I hope this helps.

Have a nice studies.

Answer:

B. [tex]\frac{14}{625}[/tex]

Step-by-step explanation:

Total paper in the hat:

2 blue + 6 red + 10 yellow + 7 purple = 25 total pieces of paper

P(AB) = 7 / 25 x 2 / 25

A is the probability of pulling a purple paper

B is the probability of pulling a blue paper

Answer:

14/625

Step-by-step explanation:

probability = favorable outcomes/total number of outcomes

First find the probability of drawing a purple piece of paper.

There are 7 pieces of purple paper.

Add all the amounts of colored paper together to get the total number of outcomes.

2 + 6 + 10 + 7 = 25

The probability of drawing purple is 7/25

Now find the probability of drawing  blue. There are 2 blue pieces of paper. Since he replaces the purple paper the total stays at 25.

The probability of drawing blue is 2/25

This is a compound probability problem, so multiply the two probabilities together.

7/25 x 2/25

14/625

The fish, the fishing pole and the water surface are all in equivalent ratio, and the fish is 21 feet from the hook

To do this, we make use of the following equivalent ratio

3 : 12.6 = 5 : x

Where x represents the distance between the fish and the hook

Express the ratio as a fraction

12.6/3 = x/5

Multiply both sides by 5

x = 5 * 12.6/3

Evaluate

x = 21

Hence, the fish is 21 feet from the hook

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Step-by-step explanation:

where are the pictures ? or diagram?

Answer:

x > −61/24

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

The probability of spinning green and rolling an even number will be 0.125.

The missing diagram is given below.

The percentage of favorable events to the total number of occurrences.

The probability of spinning green will be

Toial event = 4 {R, G, B, Y}

Favorable event = 1 {G}

P(G) = 1/4

The probability of an even number on dice will be

Toial event = 6 {1, 2, 3, 4, 5, 6}

Favorable event = 3 {2, 4, 6}

P(E) = 3/6

P(E) = 1/2

Then the probability of spinning green and rolling an even number will be

P = P(G) x P(E)

P = 1/4 x 1/2

P = 0.125

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Answer:

50 inches

Step-by-step explanation:

48^2 + 14^2 = h^2

Answer is 50 inches if you solve...

Answer:

in asurvey of people 80%have crop farming 30%have animal farming and every farmer has at least one farming

Answer:

answer is A

Step-by-step explanation:

The answer is A

For part A, we will see that the distance is 7 units. For part B, the distance from Nina's house to the school to the grocery store is larger.

Remember that the distance between two points (a, b) and (c, d) is:

[tex]D = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

A) Her house is at (-4, 10), and her school is at (-4, 3), so the distance is:

[tex]D = \sqrt{(-4 - (-4))^2 + (10 - 3)^2} = \sqrt{7^2} = 7[/tex]

The distance is 7 units.

B) In the first case, the distance between the school and the grocery store is:

[tex]D' = \sqrt{(-4 - (-4))^2 + (3 - (-6))^2} = 9[/tex]

So the total distance is 9 + 7 = 16

And the distance between the school and the community center is:

[tex]D'' = \sqrt{(-4 - 2)^2 + (3 - 3)^2} = 6[/tex]

So the total distance is 6 + 7 = 13

So we can see that the total distance from Nina's house, to the school, to the grocery store is larger than the other.

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The correct answer is option E. which is the product will be 13.86594.

Multiplication is the process of determining the product of two or more numbers in mathematics. Given numbers are 3.278 and 4.23.

The product of the two numbers will be calculated as:-

P = 3.278 x 4.23

P = 13.86594.

Therefore the correct answer is option E. which is the product will be 13.86594.

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Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

  (d)  108°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it subtends. Conversely, the arc is twice the measure of the inscribed angle it subtends.

__

We can define the vertex of the marked angle as point Q. Arc XY is twice the measure of inscribed angle XQY:

  arc XY = 2(54°) = 108°

Answer: Three

Step-by-step explanation:

I am going to assume the first value is 6xy² and not 6xy2

    6xy² − xy + 8 + 12y

   The term with the highest degree is 6xy² because it has three x and y variables (x + y + y is three).

    The degree of the polynomial is the same as the degree of the highest term, so your answer is:

           three

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Answer:

They Make 50 cents profit a pack

Step-by-step explanation:

1.89-1.35

Answer:

While most Americans enjoyed relative prosperity for most of the 1920s, the Great Depression for the American farmer really began after World War I. Much of the Roaring '20s was a continual cycle of debt for the American farmer, stemming from falling farm prices and the need to purchase expensive machinery.<3

Step-by-step explanation:

Answer:

more difficult

Step-by-step explanation: