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2 years ago

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Find the quotient of the following: f(x)=2x-5, g(x) 1-x

1 answer:

AfilCa [17]2 years ago

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How do you solve n-8=17

Alexxandr [17]

Answer:

n = 25

Step-by-step explanation:

Add to both sides.

n = 17 + 8 = 25

3 0

3 years ago

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You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

PLS Help me Error Analysis

Maksim231197 [3]

we have

<u>Pieces of mail delivered in December by the US postal service</u>

$7.14*10^{10}$

<u>Pieces of mail delivered in January by the US postal service</u>

$3.21*10^{10}$

To find the total mail delivered for these two months, sum the two quantities

so

$7.14*10^{10}+3.21*10^{10}=(7.14+3.21)*10^{10}\\=10.35*10^{10} \\=(1.035*10)*10^{10} \\=1.035*(10* 10^{10})\\=1.035*10^{(10+1)} \\= 1.035*10^{11}$

therefore

the correct solution is $1.035*10^{11}$

the error is in this part

$10.35*10^{10}$

To move decimal over one place 10 to the power of 10 should be 10 to the power of 11

$1.035*10^{10}$

3 0

3 years ago

elena-14-01-66 [18.8K]

Brainly is so proper why is no one saying inappropriate things?

8 0

2 years ago

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What is a factor of each term of the polynomial?. (3d2 – 10d).

finlep [7]

Answer:

$d(3d-10)$ is the factor term of given polynomial.

Step-by-step explanation:

We have been given an expression:

$3d^2-10d$

We will take the common term out of the given expression which is d

Hence, we get:

$d(3d-10)$

We have been asked the factor term of the polynomial:

Therefore, the factor term of the polynomial is: $d(3d-10)$

7 0

3 years ago

Read 2 more answers