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3 years ago

A soup can that is a cylinder has a radius of 2x-1 and a height of 3x. What is the surface area of the soup can?

1 answer:

3 0

SA = ?
r = 2x - 1 
h = 3x 

Then, 

SA = 2π(2x - 1)² + 2π(2x - 1)(3x) 
==> 2π(4x² - 4x + 1) + 6πx(2x - 1) 
==> 8πx² - 8πx + 2π + 12πx² - 6πx 
==> 20πx² - 14πx + 2π units²

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2x2 - 12x + 10 what are the roots

Tcecarenko [31]

Answer:

5 & 1

Step-by-step explanation:

We can use the quadratic formula to solve this:

Quadratic Formula = $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So we will have 2 answers (roots).

a is the coefficient of x^2 (2)

b is the coefficient of x (-12)

c is the constant (10)

Now, substituting, we get:

x = $\frac{-b+-\sqrt{b^2-4ac} }{2a}=\frac{12+-\sqrt{(-12)^2-4(2)(10)} }{2(2)}=\frac{12+-\sqrt{64} }{4}=\frac{12+-8}{4}=\frac{12+-8}{4}=5,1$

Hence the roots are 5 & 1

4 0

2 years ago

If a 60 year old buys a $1000 life insurance policy at a cost of $50 and has a probability of 0.954 of living to age 61 find the

ANTONII [103]

Answer:

The expectation of the policy until the person reaches 61 is of -$4.

Step-by-step explanation:

We have these following probabilities:

0.954 probability of a loss of $50.

1 - 0.954 = 0.046 probability of "earning" 1000 - 50 = $950.

Find the expectation of the policy until the person reaches 61.

Each outcome multiplied by it's probability, so:

$E = -0.954*50 + 0.046*950 = -4$

The expectation of the policy until the person reaches 61 is of -$4.

6 0

3 years ago

Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each

valina [46]

Answer:

140 + 96 m

Step-by-step explanation:

There are 4 weeks in 1 month.

Therefore:

Jonny has $50 in a savings account. Each week, he deposits $13 in the account.

$50 + $13 × 4m

The algebraic expression is given as:

50 + 52m

Jonny's brother has $90 in a saving account.

Each week, he deposits $11 in the account.

The algebraic expression is given as:

$90 + $11 × 4m

90 + 44m

An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:

Amount Jonny has + Amount his brother has

50 + 52m + 90 + 44m

= 50 + 90 + 52m + 44m

= 140 + 96 m

7 0

3 years ago

If F(x)=4x-3over7,which of the following is the inverse of F(x)

KatRina [158]

7 over 4x-3 you just flip the fraction to get the inverse

3 0

3 years ago

Read 2 more answers

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

AnnZ [28]

Answer:

$\displaystyle y + 3 = 4(x + 1)$

Step-by-step explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

7 0

3 years ago