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Answer:

4(x + 8)(x - 8)

Step-by-step explanation:

We can start by finding the GCF of both terms. We can notice that both terms are divisible by 4, so we can factor it out:

4(x^2 - 64)

Now, we can notice that x^2 - 64 resembles the special product a^2 - b^2 which factors to (a + b)(a - b). In this case, a^2 = x^2 and b^2 = 64.

So,

a = x

b = 8

We can substitute:

(a + b)(a - b)

(x + 8)(x - 8)

We can add the 4 from the beginning in to get:

4(x + 8)(x - 8)

Answer:

x = -8 and 8

Step-by-step explanation:

1st we can factor out a 4 so we get

0 = 4(x^2 - 64)

now can either factor it out some more or just solve for x.

if we factor it out more we get

0 = 4(x + 8)(x - 8)

we got x + 8 and x - 8 because 64 is a perfect root and it was negative. now we solve for x.

x = 8, x = -8

Answer:

PlayStation = 175

Step-by-step explanation:

X box = x

PlayStation = x+15

X box + PlayStation = 335

x + x+15 = 335

Combine like terms

2x+15 = 335

Subtract 15

2x+15 -15 = 335-15

2x = 320

Divide by 2

2x/2=320/2

x =160

x box =160

PlayStation = x+15 = 160+15= 175

Answer:

Playstation costs 175 pounds

Step-by-step explanation:

335 = 15 + x + x

335 = 15 + 2x

335 - 15 = (15 - 15) + 2x

320 = 2x

320/2 = 2x/2

x = 160

CHECK WORK:

(15 + 160) + 160 = 335

(175) + 160 = 335

335 = 335

The area of the crust that will cover the top of the pie is 50.24 square inches.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The baking pan is in the shape of a circle.

The diameter of a baking pan = 8 inches

So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]

⇒ [tex]r=\frac{8}{2}[/tex]

⇒ [tex]r=4[/tex]

The area of the crust that will cover the top of the pie is

[tex]A=\pi r^{2}[/tex]

we know that the value of π is 3.14.

On substitute the above values,

⇒ [tex]A=(3.14)(4)^{2}[/tex]

⇒ [tex]A=(3.14)(16)[/tex]

⇒ [tex]A=50.24[/tex]

Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.

Learn more about circles here

https://brainly.com/question/16125353

#SPJ2

Answer:

32

Step-by-step explanation:

Given

m<P = 4x+12

m<Q = 2x-24

If the sum of P and Q is 180, then;

4x+ 12 + 2x - 24 = 180

4x+2x+12-24 = 180

6x - 12 = 180

6x = 180+12

6x = 192

x = 192/6

x = 32

Hence the value of x is 32

Answer:

A.22 is the answer

Step-by-step explanation:

When it says "f(5)", it is basically saying that what is the y-value if the x-value is 5. To find the y-value, we need to substitute 5 in for the variables. I have provided you with the steps.

Answer:

?= 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the missing number be x

2/8=x/4(do cross multiplication)

8*x=4*2

8x=8

x=8/8

x=1

Answer:

than originally shared this meeting will

Answer:

Probability of three chip being defective is 0.012

Step-by-step explanation:

Probability of a computer chip being defective is 0.08 or 8%

Total random sample = 20

Probability of three chip being defective = 3/20 * 0.08

= 0.012

Answer:

B) 0.14

Step-by-step explanation:

N=20

K=3

P=0.08

CoE= 1140

1140 x (0.08)^3 x (.92)^17

1140 x (0.000512) x (0.2423) = 0.141425 or B

Answer:

B : both containers are 50

Step-by-step explanation:

Since water in container 2 is in higher temp, it will transfer some of its heat to container 1 until both the containers reach same temperature. This is the concept of equilibrium that mother nature abides by.

Answer:

Undefined

Step-by-step explanation:

you can't divide by 0

(-2-0)/(2-2)

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

Answer:

4/5 as a percentage is 80%

if you want to write 4 and 5 as a percentage . . .

You can't do that

Answer:

54461.33 cubic feet

Step-by-step explanation:

Given data

Height of cylinder= 40 feet

Radius= 20feet

Height of cone= 10 feet

Radius of cone= 20feet

Volume of Cylinder= πr^2h

Volume of Cylinder= 3.142*20^2*40

Volume of Cylinder= 3.142*400*40

Volume of Cylinder= 50272 cubic feet

Volume of Cone= 1/3πr^2h

Volume of Cylinder= 1/3*3.142*20^2*10

Volume of Cylinder= 1/3*3.142*400*10

Volume of Cylinder= 1/3*12568

Volume of Cylinder=4189.33 cubic feet

Hence, the volume of the silo = volume of cylinder+ volume of cone

Volume of silo= 50272+4189.33

Volume of silo=54461.33 cubic feet

Answer:

10x(2x+1)

Step-by-step explanation:

20x^2+10x

2*10*x*x + 10 *x

Factor out the common terms

10x(2x+1)

Answer:

45

Step-by-step explanation:

6a 6b

2 / 3

30 / x

30×3  / 2

90/2

=45

Answer:

(1, 36)

Step-by-step explanation:

Degrees of freedom for the F-test of the two way ANOVA

Here, we use a two factors, independent measures ANOVA, where, factor [tex]A[/tex] has 2 level and a factor [tex]B[/tex] also has 2 levels.

So, here,

[tex]$k_1$[/tex] = number of levels of A = 2

[tex]k_2[/tex] = number of levels of B = 2

And n = sample size in each treatment condition = 10

So we have,

[tex]d_1[/tex] = df of the main effect A = ([tex]$k_1$[/tex] - 1) = 2 - 1 = 1

[tex]d_2[/tex] = df of the main effect A = ([tex]$k_2$[/tex] - 1) = 2 - 1 = 1

[tex]d_3[/tex] = df of interaction effect (A x B) = ([tex]$k_1$[/tex] - 1)([tex]$k_2$[/tex] - 1)

                                                        = (2-1)(2-1)

                                                         = 1

And [tex]d_4[/tex] = df of within variation (i.e. error variation) = [tex]$k_1k_2(n-1)$[/tex]

                                                                                 = 2 x 2 x (10 - 1)

                                                                                  = 36

So, the df value for the F-ratio evaluating the main effect of factors-A is

=  ([tex]d_1, d_4[/tex])

= (1, 36)

Answer:

56

Step-by-step explanation:

It's tempting to use the local maximum at the point (2, 0), but x = 2 is outside the interval given in the question!

Answer:

B) 56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sp of an article= Rs 2300

profit%=15%

let Cost Price of an article be X

SP=CP+PROFIT %*CP

2300=X+15/100*X

2300=100X+15X/100

2300*100=115X

230000/115=X

2000=X

Therefore cost price of an article is Rs 2000.

Answer:

2x^2

Step-by-step explanation:

2x+x

3x

x(2+1)

2x+x

3x

2x^2(no equivalent to other option)

3x

Answer:

x₁   =   1866.2 yd   distance between ship and searchlight in C

x₂  = 2542.5 yd .  distance between ship and searchlight in B

Step-by-step explanation:

The ship (point A) and the two searchlights points  ( B  and C) shape a triangle.

We have  α  =  38°  ( opposite side x₁ or distance between ship and point C  and  β =  57 ° ( opposite side x₂ or distance between ship and point B     then γ =  180 -  ( α  +  β )

γ  =  85°

Applying sin´slaw

x₁ / sin 38   =   x₂/ sin57  =  3020 / sin 85

from sin table we find:

sin 38  =  0.6156

sin 57  =  0.8387

sin 85  =  0.9962

Then

x₁  /  0.6156  =  3020 / 0.9962

x₁  ( the opposite side to angle 38° ) /  0.6156 =  3031.5

x₁  =  3031.5*0.6156

x₁   =   1866.2 yd

x₂  =  3031.5 * 0.8387

x₂  =  2542.5 yd

Answer:

part A: 83-8=75

part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!

Step-by-step explanation:

Answer:

A: 16

Step-by-step explanation:

its in between

C. 6y and 2x

_____________________________

3x - 6y + 2x + 5y =

3x + 2x + 5y - 6y =

( 3 + 2 )x + ( 5 - 6 )y =

5x - y

Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]\displaystyle \int_3^k\left(2x+\frac{6}{x^2}\right)\, dx = 10k, k>3[/tex]

And we want to show that:

[tex]k^3-10k^2+ak+b=0[/tex]

Integrate the definite integral:

[tex]\displaystyle x^2-\frac{6}{x}\Big|_{3}^{k}=10k[/tex]

Evaluate:

[tex]\displaystyle \left(k^2-\frac{6}{k}\right)-((9)-(2))\right)=10k[/tex]

Simplify:

[tex]\displaystyle k^2-\frac{6}{k}-7=10k[/tex]

Multiply both sides by k:

[tex]k^3-6-7k=10k^2[/tex]

Rewrite:

[tex]k^3-10k^2-7k-6=0[/tex]

Hence, a = -7 and b = -6.

Answer:

x=5

Step-by-step explanation:

Add 8 on both sides first. Then divide both sides by 5 to isolate the variable.

5x-8=17

add 8 to both sides

5x=25

divide by 5 on both sides

x=5

theres a slight chance of spinning a 6 0.06

Answer:

Can't really read that but these would work

f = 12h

h = f/12

Step-by-step explanation:

Answer:

There are 18 crayons, and 3 baskets. Each basket has the same number of crayons. Therefore, we divide 18 into 3 different groups (each group = each basket). So, we have 18 ÷ 3, which is 6.

So, there are 6 crayons in each basket.

Answer:

6

Step-by-step explanation: