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3 years ago

What is the value of f(x)=2/3x + 4 when x = 9

Mathematics

1 answer:

Assoli18 [71]3 years ago

8 0

Answer:

Step-by-step explanation:

Given

f(x) = $\frac{2}{3}$ x + 4 ← substitute x = 9

f(9) = $\frac{2}{3}$ × 9 + 4

= 2 × 3 + 4

= 6 + 4

= 10

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A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism? E

Aliun [14]

Question:

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Answer:

The volume of the dilated prism is $93.75 \ {cm}^{3}$

Explanation:

A prism with a base area of 8 cm² and a height of 6 cm

The volume of the prism can be determined by the formula, $V=Bh$

Volume of the prism is given by

$V=Bh$

$V=(8)(6)$

$V=46\ cm^3$

Thus, the volume of the prism is $46 \ {cm}^{3}$

It is also given that the volume of the dilated prism is dilated by a factor of $\frac{5}{4}$

Hence, the new volume is given by

$Volume = 48(\frac{5}{4} )^3$

$=48(\frac{125}{64} )$

$=48(1.953125)$

$=93.75 \ {cm}^{3}$

Thus, the volume of the dilated prism is $93.75 \ {cm}^{3}$

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2 years ago

Should this answer be a fraction or a whole number?

lana [24]

It should be a whole number.

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3 years ago

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jolli1 [7]

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2 years ago

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KiRa [710]

Answer:

Step-by-step explanation:whtyui

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2 years ago

In baseball, Shintaro had 4 hits in his last 12 times at bat.

swat32

Answer:

The probability of shintaro is 4/12 simplified which is 1/3

Step-by-step explanation:

It's like saying.. Someone had won 4 races every 12 race

You divide both side of 4/12 till you can't divide anymore

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3 years ago