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Karolina [17]
4 years ago
6

(x+5)(√ 1-x) what is the product of this composite function?

Mathematics
1 answer:
Radda [10]4 years ago
6 0

Answer:

x\sqrt{1-x}+5\sqrt{1-x}

Step-by-step explanation:

(x+5)(\sqrt{1-x} )\\\\=\left(\sqrt{1-x}\right)\left(x+5\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\\\a=\left(\sqrt{1-x}\right),\:b=x,\:c=5\\\\=\left(\sqrt{1-x}\right)x+\left(\sqrt{1-x}\right)\times\:5\\\\=x\left(\sqrt{1-x}\right)+5\left(\sqrt{1-x}\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=x\sqrt{1-x}+5\sqrt{1-x}

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A solid has faces that consist of 5 congruent squares and 4 congruent equilateral triangles. The solid has 9 vertices. How many
zimovet [89]
The answer is <span>A. 16 edges

For most of the solid shapes, we can use Euler's polyhedron formula:
f + v - e = 2
f - the number of faces
v - the number of vertices
e - the number of edges

We know:
f = 5 + 4 = 9
v = 9
e = ?

So:
</span>f + v - e = 2
9 + 9 - e = 2
18 - e = 2
18 = e + 2
e = 18 - 2
e = 16
8 0
4 years ago
What is the length of the arc on a circle with radius 16 inches intercepted by a 45° angle?
Delicious77 [7]

Find the circumference:

Circumference = 2 x PI x radius:

Circumference = 2 x 3.14 x 16 = 100.48 inches.

A full circle is 360 degrees, a 45 degree angle is 1/8 of a full circle.

Arc length = 100.48 / 8 = 12.56 inches.

3 0
3 years ago
Volume: 350 cubic inches
wariber [46]

Answer:

25

Step-by-step explanation:

divide 14 from 350.

7 0
3 years ago
Read 2 more answers
17. Sally put $960 in a savings account that earns 7% interest compounded quarterly. How much interest will she earn at the end
professor190 [17]

well, one quarter of a year is 3 months, so at the end of third quarter, 9 months have passed, and since a year has 12 months, 9 months are simply 9/12 of a year.

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$960\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases}

A=960\left(1+\frac{0.07}{4}\right)^{4\cdot \frac{3}{4}}\implies A=960(1.0175)^3\implies A\approx 1011.29

6 0
2 years ago
12.
Umnica [9.8K]
I would go with the answer B
4 0
3 years ago
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