On a number line, the distance between x and 8 is 2 units.

Which equation can be used to determine the possible values for x?

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

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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:

third answer is correct

Step-by-step explanation:

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:

5749.3 cubic feet

Step-by-step explanation:

The volume of the  storage container would be defined by the volume of the shape; a hemisphere

The volume V of  a hemisphere is given as

V = 2/3 π r^3

where r is the radius of the hemisphere

Given that the diameter is 28 feet, the radius = 14 feet

hence the volume

= 2/3 * π * 14^3

= 5749.333333

To the nearest tenth

= 5749.3 cubic feet

theres a slight chance of spinning a 6 0.06

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:

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:

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:

2x^2

Step-by-step explanation:

2x+x

3x

x(2+1)

2x+x

3x

2x^2(no equivalent to other option)

3x

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

Answer:

Undefined

Step-by-step explanation:

you can't divide by 0

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

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:

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:

(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:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

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:

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

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:

1st and 2nd to last

Step-by-step explanation:

Answer:

x< -3 is correct answer...........

C. 6y and 2x

_____________________________

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

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

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

5x - y

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.

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Explanation:

There are 4 digits to pick from and 4 slots to fill, so there are 4! = 4*3*2*1 = 24 different codes possible.

If we want the code to start with 371, then that must mean 5 is the only thing left for that fourth slot. In short, there's only one code that starts with 371 and that code is 3715

We have one code we want (3715) out of 24 total, which is why the answer is 1/24 (choice D)

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:

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:

4/5 as a percentage is 80%

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

You can't do that

Answer:

A: 16

Step-by-step explanation:

its in between