A Gentoo penguin can swim at a rate of 17 miles per hour. How many miles can a penguin swim in four hours. Use the expression rt, where r represents rate and t represents time

Answers

Answer 1
Answer:

Penguin can swim 68 miles in four hours.

What is Rate?

A rate is defined as the ratio which is used to compare two different types of quantities that have different units.

Unit rate defines the ratio of the amount of one quantity with respect to the single unit of the other quantity. Or in other words, the denominator of unit rate will be always 1.

Here we have the unit rate as 17 miles per hour.

Here unit rate is defined in terms of distance covered per time which is actually the speed of penguin.

We have to the distance covered by the penguin in 4 hours.

Rate = Distance / Time

⇒ Distance = Rate × Time

                   = 17 × 4

                   = 68 miles

Hence, penguin can swim 68 miles in 4 hours if the rate of swimming is 17 miles per hour.

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Answer 2
Answer: r*t =
17 mile per hr x 4 hours =68

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The Pacheco family has a monthly income of $ 7,300 . They have monthly fixed expenses of $ 3,280 . In July, they had monthly variable expenses of $ 2,620 . They have annual expenses totaling $ 14,000 . Assuming annual expenses are paid off at an equal rate monthly, what was the Pacheco’s cash flow for July?

-5+i/2i how do I break this down?​

Answers

Answer:

i2 = -1

Step-by-step explanation:

5i ⋅i⋅(−2i)= −

10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i

Use the table to find the ratio. Enter the ratio as a fraction in simplest form. 9 white socks. 6 black socks. 7 blue socks. 2 brown socks. What is the ratio of white socks to brown socks?

Answers

Answer:

3

Step-by-step explanation:

i did the test ty hope it helps and give brainly and a thanks and 5star please :D you and you will get a A on that test or homework. IT really works

from the table, the ratio of white socks to brown socks is 9.4 select two ratios equilavent to the ratio of white socks to brown socks

Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4

Answers

Answer:

Step-by-step explanation:

You get the slope right away, just by reading it.

y = 1/4 x + b

To solve for b, you use the point 4,5

5 = 1/4 * 4 + b       Substitute 4 for x

5 = 1 + b                Subtract 1 from both sides

5-1 = 1-1 + b

b = 4

The line is y = 1/4 x + 4  

Add the numbers in the series 3+11+19+27+.....+395+403.

Answers

Answer:

10353

Step-by-step explanation:

The given series is in arithmetic progression since the common difference is same which is 8.

To find the sum of series we can simply apply the formula'

S= n/2( first term + last term)

S is the sum and n is the number of terms

we also need to find the number of terms n

n = (last term- first term)/2 + 1

n= (403-3)/(8) + 1

n= 51

s= (51)/(2)(3+403)

s= 10353

Mr. Johnson borrowed $8000 for 4 years to make home improvements. Ifhe repaid a total of $10, 320, at what interest rate did he borrow the money?

Answers

Answer:

Mr. Johnson borrowed the money at an interest rate of 4.25%.

Step-by-step explanation:

We can use the formula for simple interest to solve this problem:

Simple Interest = Principal x Rate x Time

Where:

Principal is the amount borrowed.

Rate is the interest rate (as a decimal).

Time is the length of time the money is borrowed for.

We know that Mr. Johnson borrowed $8000 for 4 years and repaid a total of $10,320. We can use this information to set up an equation:

10,320 = 8000 + 8000 x Rate x 4

Simplifying this equation:

10,320 = 8000 + 32000 x Rate

Dividing both sides by 32000:

Rate = (10,320 - 8000) / (8000 x 4) = 0.0425 or 4.25%

Therefore, Mr. Johnson borrowed the money at an interest rate of 4.25%.

Hope this helped! Sorry if it didn't. If you need more help, ask me! :]

Let f(x) = tan(x)-2/x. Let g(x) = x^2+8.
What is f(x)*g(y)?​

Answers

The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

f(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)

What is the product of functions?

When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.

Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,

f(x)* g(x)

Let suppose, a function f(x) is

f(x)= tan(x)-(2)/(x)

Let another function g(x) is,

g(x)= x^2+8

Then g(y), will be,

g(y)= y^2+8

The product of this two function is,

f(x)* g(y)= \left(\tan(x)-(2)/(x)\right)*(y^2+8)\nf(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)

Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

f(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)

Learn more about the composite function here;

brainly.com/question/10687170

Answer:

Step-by-step explanation:

(x)*g(y)

=(tanx-2/x)*(y²+8)

=y²tanx+8tanx-2y²/x-16/x