How are variables use to show relationship??

Answers

Answer 1

Answer: A cause and effect relationship between two variables, A and B, is written A then B, or in formal logic: A => B (A implies B).

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The steps below show the incomplete solution to find the value of x for the equation 7x + 8 − 3x = −6 + 10: Step 1: 7x + 8 − 3x = −6 + 10 Step 2: 7x + 8 − 3x = 4 Step 3: 4x + 8 = 4 Which of these is most likely the next step? 4x = 12 4x = 4 4x = −4 4x = −12
Round .0091 to the thousandths

A hawk can travel at a speed of 120 miles per hour.How long would it take a hawk to travel 840 miles without stopping?

Answers

Answer:

The answer is 7

Step-by-step explanation:

Because 840 divided by 120 is 7

Scientists who study Atlantic salmon have found that the oxygen consumption of a yearling salmon O is given by the function O=100. 3^(3s/5) , where s is the speed that the fish is traveling in feet per second A) what is the oxygen consumption of a fish that is traveling at 5 feet per second ?
B) If a fish has traveled 4.2 miles in an hour. What is its oxygen consumption

Answers

$O=100\cdot3^{\tfrac{3\cdot5}{5}}\nO=100\cdot3^3\nO=100\cdot27\nO=2700\n\n4.2 \text{ mph}\approx6.16\frac{\text{ft}}{\text{s}}\nO=100\cdot3^{\tfrac{3\cdot6.16}{5}}\nO=100\cdot3^(3.7)\nO=100\cdot58.3\nO=5830$

Which of the functions below have period 2pi? Check all that apply. A. y = tan x B. y = sec x C. y = cot x D. y = csc x

Answers

Answer:

Option B and D are correct that is $y=secx$ and $y=cscx$ respectively.

Step-by-step explanation:

We have been given four functions:

CaseA:

$y=tanx$

$\text{Period oftanx is} \pi$

Hence, A is correct.

CaseB:

$y=secx$

$\text{Period of secx is} 2\pi$

Hence, B is correct.

CaseC:

$y=cotx$

$\text{Period of cotx is} \pi$

Hence, C is not correct.

CaseD:

$y=cscx$

$\text{Period of cscx is} 2\pi$

Hence, D is correct.

Pls, help Which of the following is true?|−6| < 5
|−6| < |5|
|−5| < |−6|
|−5| < −6

Answers

Answer:

Step-by-step explanation:

Its not A because The left side 6 is not less than the right side 5, which means that the given statement is false.

Its not B because The left side 6 is not less than the right side 5, which means that the given statement is false.

Its C because The left side 5 is less than the right side 6, which means that the given statement is always true.

Its not D because The left side is 5 is not less than the right side 6, which means that the given statement is false.

Betty deposits $300 into an account that earns 5% interest compounded annually. Teresa deposits the same amount into an account that earns 5% simple interest. Compare the account balances after 2 years.

Answers

Answer:

Step-by-step explanation:

Considering Betty's account

Initial amount deposited into the account is $300 This means that the principal is

P = 300

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 5%. So

r = 5/100 = 0.05

It was compounded for 2 years. So

t = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 300 (1+0.05/1)^1×2

A = 300(1.05)^2 = $330.75

Considering Theresa's account,

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

P = 300

R = 5%

T = 2

I = (300 × 5 × 2)/100 = 30

Total amount in Theresa's account after 2 years will be 30 + 300 = $330

Betty would earn more than Theresa. She will earn 330.75 - 330 = $0.75 more than Theresa.

Francine Flicka found a bargain when she bought a lawn mower. She paid the store's clerk three $20 bills and received him $7.45 in change. If the sales tax is 7.3%, what was the selling price of the mower before taxes? $56.39

$53.55

$52.55

$48.97

Answers

Answer:

$48.97

Step-by-step explanation:

Let p represent the marked price of the mower. Then the price with tax is ...

with tax = p + 7.3%×p = 1.073p

The amount Flicka paid is the amount tendered less the change she received, so is ...

3×$20 - 7.45 = with tax = 1.073p

To find p, we can divide by its coefficient:

(3 × $20 - 7.45)/1.073 = p ≈ $48.97

The selling price before taxes was $48.97.

_____

Comment on the problem

If you check the answer, you find the amount with tax is ...

$48.97 × 1.073 ≈ $52.54481 ≈ $52.54

so the change Flicka would have received would have been $7.46, not $7.45. If the price were $48.98, then the change would have been $7.44. There is no price at which the mower can be marked that will make the total with tax come to $52.55. There is no solution to this problem.

Answer:

$48.97

Step-by-step explanation:

She paid three $20 bills

3 × 20 = $60

She received $7.45 change

60 - 7.45 = $52.55

The mower was for $52.55 with sales tax.

The sales tax is 7.3%.

Before the sales tax (reduce tax).

52.55 × (1-7.3%)

= $48.97

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