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Stels [109]
4 years ago
13

F(x)=

" class="latex-formula"> and g(x)=x^{2}

find f(g(-6)
Mathematics
1 answer:
prisoha [69]4 years ago
8 0

Answer:

f(g(-6))=2\sqrt{10}

Step-by-step explanation:

first we need to find g(-6)

g(x)= x^2\\\\g(-6)=(-6)^2\\\\g(-6)=36

so g(-6)=36

so we need to find f(36)

f(x)=\sqrt{x+4} \\\\f(36)=\sqrt{36+4} \\\\f(36)=\sqrt{40}\\\\f(36)=\sqrt{4}* \sqrt{10} \\\\f(36)=2\sqrt{10}

so that's answer

f(g(-6))=2\sqrt{10}

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Which comparison is correct?
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Option B: $4.5 \times 10^{-6}>3.9 \times 10^{-9}$ is the correct answer.

Explanation:

Option A: $7.1 \times 10^{8}>1.2 \times 10^{9}$

Simplifying, we get,

710000000>1200000000

Since, the value of $1.2 \times 10^{9}$ is greater than $7.1 \times 10^{8}$, the comparison $7.1 \times 10^{8}>1.2 \times 10^{9}$ is false.

Hence, Option A is not the correct answer.

Option B: $4.5 \times 10^{-6}>3.9 \times 10^{-9}$

Simplifying, we get,

0.0000045>0.0000000039

Since, the value of $4.5 \times 10^{-6}$ is greater than $3.9 \times 10^{-9}$, the comparison $4.5 \times 10^{-6}>3.9 \times 10^{-9}$ is true.

Hence, Option B is the correct answer.

Option C: $2.4 \times 10^{-5}

Simplifying, we get,

0.000024

Since, the value of $2.4 \times 10^{-5}$ is greater than $5.7 \times 10^{-6}$, the comparison $2.4 \times 10^{-5} is false.

Hence, Option C is not the correct answer.

Option D: $8.2 \times 10^{-4}

Simplifying, we get,

0.00082

Since, the value of $8.2 \times 10^{-4}$ is greater than $3.6 \times 10^{-6}$, the comparison $8.2 \times 10^{-4} is false.

Hence, Option D is not the correct answer.

6 0
4 years ago
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Answer:

118.18 mm^2

Step-by-step explanation:

Sides <em>a</em> and <em>b</em> form angle C, so the information given is a side-angle-side (SAS) problem.

Use the formula A=\frac{1}{2}ab\sin{C}.

A=\frac{1}{2}(12)(20)\sin{80^\circ} \approx 118.18 \rm \,mm^2

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Answer:

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Step-by-step explanation:

volume of a cube = length x width x height

v=17 x 17 x 17 = 4913

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3 years ago
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