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2 years ago

Hey guys, Please help me. Screenshots are below. I need them in the next 10 minutes. Please. I will also award brainiest!

Mathematics

1 answer:

WITCHER [35]2 years ago

6 0

First one should be = to each other the second one I can’t help with and the third one is a>a

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Steve collects oysters for a living and sells them to restaurants. While catching oysters, Steve keeps track of the total weight

Vlad1618 [11]

Answer:8 ounces of oysters per minute

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

Ipatiy [6.2K]

Answer:

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

If you prefer it a little more simplified:

$\sum_{n=1}^{16}(5x-14)$

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x | y

1 -9

2 -4

3 1

4 6

..................

n 66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is $y-y_1=m(x_x_1)$ where $(x_1,y_1)$ is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is $y-(-9)=5(x-1)$

Subtract 9 on both sides:

$y=5(x-1)-9$

Now we need to know how many terms we are adding so what is x if y=66.

$66=5(x-1)-9$

Add 9 on both sides:

$75=5(x-1)$

Divide both sides by 5:

$15=x-1$

Add 1 on both sides:

$16=x$

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

You could simplify the 5(x-1)-9.

Distribute: 5x-5-9

Add like terms: 5x-14

3 0

3 years ago

Read 2 more answers

Hector works 12 hours per week at a part-time

iren [92.7K]

Answer:

b. $2.50

Step-by-step explanation:

Let us take a step by step approach by simplifying each sentence:

Sentence 1: Hector works 12 hours per week at a part-time hours per week at a part-time job

Number of hours worked per week = 12hours

Sentence 2: His original pay rate was $8.00 per hour. but he recently received a raise of x dollars per hour

Pay per hour is 8hr, a raise of x gives 8 + x

Sentence 3: New total wage = 12(8+x)

Sentence 4: Amount earned last week = $126

New total wage = Amount earned last week

12(8 + x ) = 126

96 + 12x = 126

12x = 126 - 96

12x = 30

x = $2.50

Amount of raise is $2.50

8 0

3 years ago

Complete the synthetic division problem below.

Angelina_Jolie [31]

Answer:

C. x+5

Step-by-step explanation:

Quotient is the result obtained by dividing one number by the other. Polynomial is the equation which consists of variables and coefficients. It involves addition, subtraction, multiplication and integers. The given synthetic equation is 2/1 5 - 14. In the given equation the quotient polynomial form is x + 5.

5 0

3 years ago

Read 2 more answers

1 poir

poizon [28]

9514 1404 393

Answer:

$1790.99

Step-by-step explanation:

Given:

$1625 is invested at an annual rate of 1.95% compounded quarterly for 5 years

Find:

the ending balance

Solution:

The compound interest formula applies.

FV = P(1 +r/n)^(nt) . . . Principal P at rate r for t years, compounded n per year

FV = $1625(1 +0.0195/4)^(4·5) = $1625(1.004875^20) ≈ $1790.99

The account ending balance would be $1790.99.

8 0

3 years ago