Which of the following is the most appropriate unit to describe the rate at which water flows over Niagara Falls? Day per billion gallons, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days

Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days

Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons

Day per billion gallons, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons

Answers

Answer 1

Answer: I'd have to say the second option, "Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days"

Answer 2

Answer:

Answer:

The answer is C, "Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons"

Step-by-step explanation:

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James has $120 in his saving account and plans to have $x each month for 6 months. the expression $6x $120 represents the total amount in the account after 6 months. factor the expression 6x 20

Answers

2(3 * 10) is 6 x 20 factored

Answer:

6(x+20)

Step-by-step explanation:

6x: 2*3

120: 2*2*3*5

The GCF of 6x*120 is 2*3

so the factored expression is 6(x+20)

What is 48% expressed as a fraction in simplest form?

Answers

48% is 48/100 = 12/25

Solve 6/7 divided 36/56 and put answer in simplest form A.8/6
B.2/8
C.6/8
D.4/3

Answers

Answer:

Solve $(6)/(7)$ divided $(36)/(56)$ and put answer in simplest form

D. $(4)/(3)$

Step-by-step explanation:

The easily technique for dividing fractions is invert one of the fraction and multiply the fractions. Numerator should be multiplied by the other numerator and denominator should be multiplied by the other denominator after invert one of the fraction.

$(6)/(7)$ ÷ $(36)/(56)=(6)/(7)*(56)/(36)$

$(6)/(7) * (56)/(36)=(336)/(252)$

Now, we need to simplify the fraction. The numerator and the denominator are divisible between two,

Therefore:

$(336)/(252)=(168)/(126)$

The numerator and the denominator are divisible between two,

Therefore:

$(168)/(126)=(84)/(63)$

The numerator and the denominator are divisible between 3,

Therefore:

$(84)/(63)=(28)/(21)$

The numerator and the denominator are divisible between 7,

Therefore:

$(28)/(21)=(4)/(3)$

Now, we have found the answer:

D. $(4)/(3)$

The simplified form of the expression 6/7 divided 36/56 is 4/3.

Option D.4/3

What is the simplified form of the expression?

Given the expression in the question:

6/7 divided 36/56

Which is the same as:

6/7 ÷ 36/56

To solve the division problem (6/7) ÷ (36/56), multiply the first fraction by the reciprocal of the second fraction:

Hence:

6/7 ÷ 36/56

6/7 × 56/36

Multiply the denominators and then multiply the numerators:

( 6 × 56 ) / ( 7 × 36 )

Simplifying, we get:

336/ ( 7 × 36 )

336 / 252

Simplify:

4/3

Therefore, the simplified form is 4/3.

Option D) 4/3 is the correct answer.

Learn about how to divide fractions here: brainly.com/question/1627825

#SPJ6

The expression 8 x plus 12 y represents the sum of Harry and Mike’s total monthly wages, where x represents the number of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the expression, and what can you conclude from rewriting it in this way?A. 8 left parenthesis x plus 1.5 y right parenthesis ; Harry’s hourly wage is 1.5 times Mike’s.
B. 8 left parenthesis x plus 1.5 y right parenthesis; Mike’s hourly wage is 1.5 times Harry’s.
C. 12 left parenthesis 8 x plus y right parenthesis ; Harry’s hourly wage is 8 times Mike’s.
D. 8 left parenthesis x plus 4 y right parenthesis ; Mike’s hourly wage is 4 times Harry’s.

Answers

it’s B figured it out got it

I am confused on this , I’ve tried twice and got it wrong.

Answers

Answer:

$f^-^1(x)=-x^2+6x-5 \ \text{for the domain}\ [3, \infty)$

Step-by-step explanation:

Consider the function $f(x)=√(4-x)+3$ for the domain $(- \infty, 4]$ .

Find $f^-^1(x)$ , where f^(-1) is the inverse of f.

Also state the domain of f^(-1) in interval notation.

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We can start solving this problem by finding the inverse of f(x). This is done by switching the x- and y- variables, and solving for y.

$y=√(4-x)+3 \rightarrow x=√(4-y)+3$
$x=√(4-y)+3$

We can start solving for y by subtracting 3 from both sides of the equation.

$x-3=√(4-y)$

Get rid of the radical by squaring both sides of the equation.

$(x-3)^2=(√(4-y))^2$
$(x-3)(x-3)=4-y$

Use FOIL to multiply the binomial (x-3) together.

$x^2-3x-3x+9=4-y$

Combine like terms.

$x^2-6x+9=4-y$

Subtract 4 from both sides of the equation.

$x^2-6x+5=-y$

Divide both sides of the equation by -1.

$-x^2+6x-5=y$
$f^-^1(x)=-x^2+6x-5$

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The domain and range of a function are flipped for its inverse, meaning that to find the domain of the inverse function, you can find the range of the original function f(x), and that will be your inverse function's domain.

The range of $f(x)=√(4-x) +3$ is $y \geq 3$ , since the vertical shift of the graph is at k = 3. You can also graph this function on a calculator to see that the graph does indeed start at y = 3.

Now that we know the domain and range of the original function, we know that these are flipped for the inverse function.

Original function:

Domain: $x\leq 4$
Range: $y\geq 3$

Inverse function:

Domain: $x\geq 3$
Range: $y\leq 4$

The final answer is:

The inverse $f^-^1(x)=-x^2+6x-5 \ \text{for the domain}\ [3, \infty)$ .

You can also write the domain as: $x\geq 3$ .

if there are 15 work days until the day she begin tio sell the basket how many basket will she have to sell

Answers

so she has 13 baskets over from last year
then y- intercept would be 13
and make 12 more each day
so the slope would be 12
and there is 15 work days
y= 12x + 13
y= 12(15) +13
y=180+13
y=193
just remember the linear equation then you will get to understand the problem

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