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frutty [35]
3 years ago
9

Factor 200t+83 - 80t2. A. 8t(t - 5)(t + 5) B. 8t(t - 5)2 C. -8t(t - 5)(t + 5)

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Step-by-step explanation:

8t³-80t²+200t

= 8(t³-10t+25)

= 8t(t²-10t+25)

= 8t(t-5)(t-5)

= 8t(t-5)²

the answer is B.

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Question 8 (1 point)
AleksandrR [38]

Answer:

solution is x=3

Step-by-step explanation:

logx-log3=log(x-2)

apply log property

log a- log b= log a/b

logx-log3=log(x-2)\\log (\frac{x}{3} )=log(x-2)

we have log on both sides

so we remove the log and make the arguments equal

\frac{x}{3} = x-2

solve for x, multiply whole equation by 3

x=3(x-2)\\x=3x-6\\x-3x=-6\\-2x=-6\\x=3

now plug in 3 for x  and check

logx-log3=log(x-2)\\log3-log3=log(3-2)\\0=0

solution is x=3

8 0
3 years ago
20 points! Identify the solids that form the compos
Troyanec [42]

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length (a^2).

The cube's surface area = 6a^2 = 6(5^{2} ) = 150 square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = 2 \pi r h+2 \pi r^{2} = 2 \pi (2) (4)+2 \pi (2)^{2} = 75.398 square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

3 0
3 years ago
Greatest common factor for 17 and 42
Musya8 [376]
Since 17 isnt a factor of 42 the only factor is 1
5 0
3 years ago
You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding
Rufina [12.5K]

Answer:

8r + 6s = 100 --- (a)

s = -2 ---- (b)

Step-by-step explanation:

Given

Per ride (r) = $8

Per baseballs (s) = $6

Total = $100

Required

Represent using an equation

If 1 ride is $8.

r rides would be 8r

If 1 baseball is $6

s baseballs would be 6r.

So, total is:

8r + 6s = 100

Solving (b):

Value of s when r = 14

8r + 6s = 100

Substitute 14 for r

8 * 14 + 6s = 100

112+ 6s = 100

Solve for 6s

6s = 100 - 112

6s = -12

Solve for s

s = -12/6

s = -2

4 0
3 years ago
Using the numbers 0-6 once, make 2 equivalent ratios
fenix001 [56]

Step-by-step explanation:

As we have to use the number 0-6 once to make 2 equivalent ratios.

so lets solve the problem.

Determining first equivalent ratio

as

  • 5 times 2 = 10

and

  • 32 times 2 = 64

so

  • Together will get 10/64

Therefore, first equivalent ratio

\:\frac{5}{32}=\frac{10}{64}

Determining second equivalent ratio

\frac{13}{65}=\frac{4}{20}

as

\frac{13}{65}=\frac{1}{5}

and

\frac{4}{20}=\frac{1}{5}

Therefore, second equivalent ratio

\frac{13}{65}=\frac{4}{20}

8 0
3 years ago
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