PLEASE HELP ME URGENT

Answer:

9

Step-by-step explanation:

3² = 3 x 3 = 9

Given:

The equation is:

[tex]x^2-12x+32=4[/tex]

To find:

The result of completing the square for the given equation.

Solution:

We have,

[tex]x^2-12x+32=4[/tex]

It can be written as:

[tex]x^2-12x=4-32[/tex]

[tex]x^2-12x=-28[/tex]

Now, we need to add half of square of coefficient of x, to complete the square.

Adding [tex](\dfrac{-12}{2})^2[/tex] on both sides, we get

[tex]x^2-12x+(\dfrac{-12}{2})^2=-28+(\dfrac{-12}{2})^2[/tex]

[tex]x^2-2(x)(6)+(-6)^2=-28+(-6)^2[/tex]

[tex]x^2-2(x)(6)+(6)^2=-28+36[/tex]                 [tex][\because (-a)^2=(a)^2][/tex]

Using the formula [tex](a-b)^2=a^2-2ab+b^2[/tex], we get

[tex](x-6)^2=8[/tex]

Therefore, the required equation after completing the square is [tex](x-6)^2=8[/tex].

Answer:

549 pumps

Step-by-step explanation:

We'll begin by calculating the radius of the larger ball. This can be obtained as follow:

Circumference (C) = 71

Pi (π) = 3.14

Radius (r) =?

C = 2πr

71 = 2 × 3.14 × r

71 = 6.28 × r

Divide both side by 6.28

r = 71 / 6.28

r = 11.3 in

Next, we shall determine the volume of the larger ball.

Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:

Pi (π) = 3.14

Radius (r) = 11.3 in

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 11.3³

V = 4/3 × 3.14 × 1442.897

V = 6041 in³

Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:

11 in³ = 1 pump

Therefore,

6041 in³ = 6041 in³ × 1 pump / 11 in³

6041 in³ = 549 pumps

Thus, it will take approximately 549 pumps of air to fill the large soccer ball.

Answer:

..

Step-by-step explanation:

for the first one is 40 and d and f are 140

for the second one g is 155 and h is 180

Answer:

Hello!

1st problem: e = 40 d = 140 f = 140

Each of these will add up to 360 degrees so what I did was find the measurements that would accurately add up and thats how i got my answers

2nd problem: g = 155 h = 180

Answer:

B. (–5, –8)

Step-by-step explanation:

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

Point Form:

( − 5 , − 8 )

Equation Form:

x = − 5 , y = − 8

The probability of getting blue with small is 3/20 because 3 is the small quantity and 20 is the total blue.

Give details according to the question :

Total number of blue

Sum of larger and small  = 17+3 = 20

Total number of red

Sum of large and small = 8+12 = 20

Now,

Probability :

The probability formula is used to compute the probability of an event occurring.

P(A) = n(A)/n(S)

Where,

P(A) is the probability of an event “A”

n(A) is the number of favorable outcomes

n(S) is the total number of events in the sample space

Note: Here, the favorable outcome means the outcome of interest.

n(A) is the number of favorable outcomes = 3

n(S) is the total number of events in the sample space = 20

P(Small and Blue)= 3/20

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Answer:

3/40

Step-by-step explanation:

:)

Answer:

-7

Step-by-step explanation:

p mark brainliest please

Answer:

-7

Step-by-step explanation:

0 subtract 7 is negative 7

Answer:

9/4 ÷ 7/2

9/4 × 2/7

9/14

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{ \frac{9}{14} }[/tex]

[tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]

Answer:

150 ft^2

Step-by-step explanation:

13 × 10 = 130 ft

2 × 10 = 20/2 = 10

10 × 2 = 20 ft

130 + 20 = 150 ft^2

Answer:

15/36 (41.667%)

Step-by-step explanation:

Answer:

50 sq ft

Step-by-step explanation:

12.5 sq ft is used to make 3 dresses. Laura will repeat this 4 times since she is making 12 dresses (3x4=12). So, 12.5 x 4 = 50

Therefore, the answer is 50 sq ft.

Hope it help! Don't forget to give me Brainliest!!

Love ya! :)

Answer:

Given that a worker earns a 3% increase in her annual salary for each of 5 years, and they plan to continue working in their position for an additional N years, if they continue to earn a 3% increase in their annual salary, to determine what statement could describe the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year the following calculation should be performed:

1 + 0.03 (interest rate) ^ N (number of years) = final interest rate

1.03 ^ N = Final interest rate

Thus, for example, if it were invested for 5 years, the equation would operate as follows:

1.03 ^ 5 = X

1.16 = X

The total percent increase in their annual salary from the first year to the last year is [tex](1.03)^n[/tex].

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the annual salary of the worker increases at a rate of 3%. therefore, the salary of the worker increases compounded at a rate of 3% annually. Therefore, the salary of the worker after n number of years can be written as,

[tex]A = P(1+\dfrac{r}{100})^n[/tex]

where A is the final salary of the worker, P is the initial salary of the worker, r is the rate at which the salary is increasing, and n is the number of years.

Substituting the values in the formula,

[tex]A = P(1+\dfrac{3}{100})^n\\\\A = P(1.03)^n[/tex]

Hence, the total percent increase in their annual salary from the first year to the last year is [tex](1.03)^n[/tex].

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Answer:

2.8

Step-by-step explanation:

10× X = 7× 4

X = 7×4/10 = 2.8

[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]

The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle.

sin ([tex]sin^{-1}x[/tex]) = x, whenever x ∈ [-1, 1] and

sin ([tex]sin^{-1}x[/tex]) is NOT defined whenever x ∉ [-1, 1].

Given

[tex]sin^{-1} (sin17^{0} )[/tex]

Cancel out [tex]sin^{-1}[/tex] and sin

[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]

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Step-by-step explanation:

[tex]196\pi[/tex]

is the answer

plz mark as brainliest

Answer:

it will take 3 yrs for the value of camera to reach $162.

Step-by-step explanation:

Pd = P(1-R/100)^T

162 = 384(1-25/100)^T

162/384 = (3/4)^T

27/64 = (3/4)^T

(3/4)^3 = (3/4)^T

T = 3

Answer:

this represents: exopnential decay, the rate of growth or decay is equal to: 0.25, value of the camera each year is: 0.75, it will take 3 years.

Step-by-step explanation:

Answer: 32

Step-by-step explanation: the big number is 64 and the smallest number is 32. 64-32=32

Answer:

$172.75 is the amount Ahmed has

Answer:

-40

Step-by-step explanation:

Let's input x into all of the slots.

[tex]-2^{2}+-7^{2}+19-6[/tex]

Now, let's solve!

[tex]-4-49+19-6[/tex]

[tex]-40[/tex]

So, the answer is -40!

Answer:

121/4

Step-by-step explanation:

To complete the square, we have to work with the coefficient of x

We have to divide the coefficient of x by 2, square it and add it to both sides

So we divide 11 by 2; which is 11/2; then square it

we have this as 121/4

This number is what we are going to have added

Answer:

Step-by-step explanation:

[tex]x^2+11x-38=0\\\\x^2+2\cdot\frac{11}2x-38=0\\\\\underline{x^2+2\cdot x\cdot\frac{11}2+\bold{\big(\frac{11}2\big)^2}}-\big(\frac{11}2\big)^2-38=0\qquad\qquad\qquad\{\big(\frac{11}2\big)^2=\frac{121}4\}\\\\ \big(x+\frac{11}2\big)^2-\frac{121}4-\frac{152}4=0\\\\ \big(x+\frac{11}2\big)^2-\frac{273}4=0\\\\ \big(x+\frac{11}2\big)^2=\frac{273}4[/tex]

[tex]x+\frac{11}2=\pm\frac{\sqrt{365}}2 \\\\x=\frac{-11\pm\sqrt{365}}2[/tex]

Answer:

644

Step-by-step explanation:

SA=[2×(5×20 + 5×6 + 20×6)] +

[2×(4×12 + 4×6 + 12×6)] -

[ 2× 12×6]

= [2×(250)]+[2×(144)] - [144]

= 500+288-144

= 644 cm²

Answer:

sorry i dont know the answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer is A (1 1/4x -3 = 30 1/2; x = 22 times), i just finished the test on edge 2021, good luck! :)

Answer:

sorry Wala po akong answer ehhh sorry

Answer:

did you find the answer

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

all sides of a triangle add up to 180

Answer:

The scale factor is 2.5

Step-by-step explanation:

took k-12 test