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galina1969 [7]
3 years ago
12

C-3d = 11 -2c + 3d = -16

Mathematics
1 answer:
disa [49]3 years ago
5 0

This looks like a system of equations:

We should solve for c on the first equation because we can substitute for c. There are a lot of ways we can do a system of equations, but I will do this.

c - 3d = 11

  +3d     +3d

c = 11 +3d

Now we can substitute.

-2(11+3d) + 3d = -16

solve

-22 + -6d + 3d = -16

-22 + -3d = -16

+22             +22

-3d = 6

/-3     /-3

d = -2

So we have found d. We can solve for c.

c - 3(-2) = 11

c + 6 = 11

  -6      -6

c = 5

Now we know both D and C. d=-2 and c=5

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\bf \textit{arc's length}\\\\
s=\cfrac{\theta r\pi }{180}\quad 
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r=radius\\
\theta = angle~in\\
\qquad degrees\\
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r=5\\
\theta = 42
\end{cases}\implies s=\cfrac{42\cdot 5\cdot \pi }{180}
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4 years ago
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A store sells four 1 1 8 118 -pound ears of corn in a package for $3.59 $3.59 . The expression 3.59p 3.59p represents the cost o
victus00 [196]

Answer: The variable p represents the number of packages of  corn.

Step-by-step explanation:

1. You have the following expression given in the problem:

3.59p

2. Then, if the expression represents the cost of the corn for a number of packages, then the price of a package (which is $3.59) must be multiplied by the number of packages (which must be represented by the variable p).

3. Therefore, you can conclude that the variable p represents the number of packages of  corn.

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4 years ago
Evaluate the following <br><br>2/3 + 11/3 – 1/3​
arsen [322]

Answer:

12/3 which is =4

Step-by-step explanation:

for adding fractions you keep the denominator the same and just add or subtract the numerators

2+11-1=12

6 0
3 years ago
A tortoise is walking in the desert. it walks for 17.5 meters at a speed of 7meters per min
maw [93]
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4 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x6, y
IgorC [24]

Answer:

The volume is \frac{490\pi}{39} cubic units.

Step-by-step explanation:

The given curve is

y=7x^6

The given line is

y=7x

Equate both the functions to find the intersection point of both line and curve.

7x^6=7x

7x^6-7x=0

7x^6-7x=0

7x(x^5-1)=0

7x=0\rightarrow x=0

x^5-1=0\rightarrow x=1

According to washer method:

V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx

Using washer method, where a=0 and b=1, we get

V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx

V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx

V=49\pi \int_{0}^{1}[x^2-x^{12}]dx

V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1

V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]

V=49\pi [\frac{1}{3}-\frac{1}{13}]

V=49\pi (\frac{13-3}{39})

V=49\pi (\frac{10}{39})

V=\frac{490\pi}{39}

Therefore the volume is \frac{490\pi}{39} cubic units.

5 0
3 years ago
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