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Answer:

210 cubic inches

Step-by-step explanation:

The volume V of  a cylinder is given as

V = πr^2h where r is the base radius and h is the height

If two cylinders have the same base, then their radii are the same

Given that one cylinder has a height of 4 inches and a volume of 120 cubic inches then

120 = πr^2 * 4

Divide both sides by 4

30 = πr^2

Given that the second cylinder has a height of 7 inches then the volume

V = πr^2 * 7

Recall that 30 = πr^2

V = 30* 7

= 210 cubic inches

Answer:

209.5 g

Step-by-step explanation:

The chart shows that 25% of the peanut butter is protein.

25% of 838 g =

= 0.25 * 838 g

= 209.5 g

Answer: 209.5 g

Answer:

X-290

X=70

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  -36

Step-by-step explanation:

Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)

This table shows the remainder, which is f(-2), is -36.

__

The equation itself can be rewritten in "Horner form" to facilitate evaluation.

  f(x) = (((-x +2)x -1)x +4)x +8

In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.

  f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8

  = (((4)(-2) -1)(-2) +4)(-2) +8

  = ((-9)(-2) +4)(-2) +8

  = (22)(-2) +8

  = -36

  f(-2) = -36 . . . . remainder from synthetic substitution

Answer:

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Step-by-step explanation:

Example:  If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Note:  the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.

Answer:

C)h(x)=(x−24)2 and g(x)=x2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of triangle = 1/2 × Base × Height

Mr.Eastman drew triangle JKL,with a height of 12 inches and a base of 12 inches

Area of JKL = 1/2 × 12 inches × 12 inches

= 72 Square inches

triangle XLZ, with a height of 8 inches and a base of 16 inches. Which triangle has the greater area?

9514 1404 393

Answer:

  20 meters

Step-by-step explanation:

Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.

  A = LW . . . . . . . . area is length × width

  80 m² = L·(4 m)

  (80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)

The tarp is 20 meters long.

Answer:

2,359,000,000

Step-by-step explanation:

Answer:

2,359,000,000 would be the standard form

Step-by-step explanation:

Answer:

2(n)+9

Step-by-step explanation:

N is 9 btw

Answer:

(13/2) cm

Step-by-step explanation:

The hypotenuse here is of length 13 cm.  The shorter leg lies opposite to the 30° angle.  Recall that the sine function is defined as

              opposite side

sin Ф = -----------------------

                 hypotenuse

which, in this case, works out to:

                opposite side

sin 30° = -----------------------

                       13 cm

and so the length of the opposite side (which is also the "shorter leg") is

shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm

Answer:

84.9 ft

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + 60^2 = c^2

3600 + 3600 = 7200

the square root of 7200

84.8528137424 ft or 84.9 ft

Answer:

2√3

Step-by-step explanation:

√3x4 = √12 = 2√3

Answer:

9x^8

Step-by-step explanation:

good luck!!

Answer:

180 ft2

Step-by-step explanation:

First solve for the area of the trapzeoid using formula:

A= a+b/2xh

10+18x6/2

A= 84 ft2

Then solve for the rectangles B and C:

12x4= 48

48x2 (because theres two rectangles) which equals 96

Combine the two to get the total area:

96+84= 180

Step-by-step explanation:

here <D+<B=180

sum of two opposite angle of the cyclic quadrilateral is 180

x+28=180

x=180-28=152°

angle A=x-36=152-36=116°

Answer:

The values of

k are

(-4,2)

Step-by-step explanation:

sorry if wrong

Answer: Yes they are

Yes, they are because when you simplify both of them, they both give you 1:2 which proves they are equivalent.

2:4-->1:2

5:10-->1:2

Hope this helps you!

Answer:

Yes they are

Step-by-step explanation:

Answer:

5'2

Step-by-step explanation:

Answer: He went wrong when multiplying.

Step-by-step explanation: He went wrong when multiplying because if you actually do the problem your answer would be 8 but he probably did 8 times 10.

Answer:

-2x^2+5x+12

Step-by-step explanation:

(4-x)(3+2x)

12-3x+8x-2x^2

12+5x-2x^2

-2x^2+5x+12

Answer:

The answer is "Choice A".

Step-by-step explanation:

Please find the complete question in the attachment file.

Throughout this question by acceptance of its zero hypotheses becomes equal to "the failure to accept the zero hypotheses." Its best answer is to refuse the null hypothesis or conclude how he had no effects on vibrant socks mostly on basis of this study, that's why the above given choice is correct.

Answer: 305 ft

Step-by-step explanation:

Given

[tex]\angle A=30^{\circ}[/tex]

[tex]\angle B=50^{\circ}[/tex]

[tex]c=600\ ft[/tex]

From the angle sum property of the triangle, we can write

[tex]\Rightarrow \angle A+\angle B+\angle C=180^{\circ}\\\Rightarrow \angle C=180^{\circ}-30^{\circ}-50^{\circ}\\\Rightarrow \angle C=100^{\circ}[/tex]

Now using Sine law i.e.

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\Rightarrow \dfrac{a}{\sin 30^{\circ}}=\dfrac{600}{\sin 100^{\circ}}\\\\\Rightarrow a=600\times \dfrac{\sin 30^{\circ}}{\sin 100^{\circ}}=600\times 0.5077\\\\\Rightarrow a=304.62\ ft\approx 305\ ft[/tex]

don't know it is complicated

Answer:

The unit price of brant A and brand B is 0.1311 and 0.1704 and brand A would be better

Step-by-step explanation:

The computation of the unit price for each brand is shown below:

For brand A, the unit price is

= 2.36 ÷ 18 pencils

= 0.1311

For Brand b, the unit price is

= 4.09 ÷ 24

= 0.1704

So here as we can see that brand A would be better as it has less cost as compared with brand B

Answer:

45?

Step-by-step explanation:

Answer:

The first one is: H=-6 and t=0

The second one is:16x(3t+4)

And i think the answer is:116

Step-by-step explanation:

Correct me if i'm wrong