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galben [10]
2 years ago
11

Canela has 96.4 yards of rope to make rope bowls. She

Mathematics
1 answer:
Sladkaya [172]2 years ago
7 0

Answer:

5.2 yds/bowl

Step-by-step explanation:

she used   96.4 - 18.4 = 78 yards  for 15 bowls

78 yards / 15 bowls = 5.2 yds/bowl

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Craig opened a savings account and deposited $600.00 as principal. The account earns 2%
Solnce55 [7]

Answer:

the answer is 675.70 or 4,504.33

Step-by-step explanation:

the right answer is that

3 0
3 years ago
I’m Really lost if I could get a answer it would be greatly appreciated
Nataly [62]
<h3>Answers:</h3>

f(g(x)) = \sqrt{x^2+5}+5\\\\g(f(x)) = x+30+10\sqrt{x-1}

================================================

Work Shown:

Part 1

f(x) = \sqrt{x-1}+5\\\\f(g(x)) = \sqrt{g(x)-1}+5\\\\f(g(x)) = \sqrt{x^2+6-1}+5\\\\f(g(x)) = \sqrt{x^2+5}+5\\\\

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.

------------------

Part 2

g(x) = x^2+6\\\\g(f(x)) = \left(f(x)\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}+5\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}\right)^2+2*5*\sqrt{x-1}+\left(5\right)^2+6\\\\g(f(x)) = x-1+10\sqrt{x-1}+25+6\\\\g(f(x)) = x+30+10\sqrt{x-1}\\\\

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2

In this case, a = sqrt(x-1) and b = 5.

You could also use the box method as a visual way to expand out \left(\sqrt{x-1}+5\right)^2

6 0
3 years ago
Find the area A of the sector of a circle of radius 50 feet formed by the central angle
kozerog [31]

Answer:

A=6250\ feet^2

Step-by-step explanation:

Given that,

The radius of circle, r = 50 feet

The central angle, \theta=5\ radian

We need to find the area of the sector of a circle. The formula for the area of sector is given by :

A=\dfrac{1}{2}r^2\theta\\\\=\dfrac{1}{2}\times 50^2\times 5\\\\A=6250\ feet^2

So, the area f the sector of the circle is 6250\ feet^2.

7 0
3 years ago
In planning her retirement, Liza deposits some money at 2% interest, twice as much deposited at 2.5%. What is the amount deposit
harkovskaia [24]
She deposited two amounts, let's say "a" and "b"
"a" earning 2% interest
"b" earning 2.5% interest

the 2.5% one, is twice as much as the 2% one
so.. one can say that, whatever "a" is, "b" is twice as much,
or b = 2*a -> b = 2a

now.. .the sum of both earned interest, was $1190

so.. one can say that (2% of a) + (2.5% of b) = 1190
let' us use the decimal notation then
\frac{2}{100}a+\frac{2.5}{100}b=1190\implies 0.02a+0.025b=1190&#10;\\ \quad \\&#10;\textit{however, we know "b" is 2a thus}&#10;\\ \quad \\&#10;0.02a+0.025\boxed{b}=1190\implies 0.02a+0.025(\boxed{2a})=1190

solve for "a" to find what the "a" amount is,
to find "b", well, "b" is "2a", so just do a 2*a to get "b"

5 0
4 years ago
Write an equation below to express the cost (c) as a function of miles (m). The charge for a rental car is $20 plus $0.05 per mi
vfiekz [6]
F(m)=20+0.05m
f(m)=cost(c)
20=initial cost and will be the y-intercept
0.05=the cost per mile and will be the slope
m=the number of miles driven
8 0
3 years ago
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