An athlete runs 1, miles in 7 minutes. At this rate, how long does it take the athlete to run 1 mile?
174
o minute
0.6 minutes
O 74 minutes
O 9 minutes

Answer:

(fog)(x) = 2sqrt(x) + 3

Domain: {x | x ∈ R, x>=0}

Step-by-step explanation:

(fog)(x) = f(g(x))

let f(a) = f(g(x))

f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3

To find domain, pick most restricting domain of the functions that make up the compound function.

Answer:

Below in bold.

Step-by-step explanation:

0.3. e^3x = 27

Taking logs of both sides:

ln (0.3. e^3x) = ln 27

ln (0.3) + ln e^3x = ln 27

ln e^3x = ln 27 - ln(0.3)

3x = ln 27 - ln 0.3

3x = ln(27/0.3) = ln 90

x = 1/3 ln 90

x = ln (90^1/3)

Approximate value of x:

= 1.499936557

= 1.500 to the nearest thousandth.

Answer:

It'd be a rational number

Step-by-step explanation:

Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.

Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.

Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.

Answer:

A,C and D are the answers.

Step-by-step explanation:

I did it on Khan Academy and got it right.

[tex]sin = \frac{opposite}{hypotenuse} = \frac{3}{5} = 0.6\\\\cos = \frac{adjacent}{hypotenuse} = \frac{4}{5} = 0.66666666666666666666666666666667\\\\tan = \frac{opposite}{adjacent} = \frac{3}{4} = 0.75\\\\hypotenuse = 5[/tex]

HOPE THIS HELPS :)

Answer: Mr. Jay’s cost 85 cents and Mr. Tony’s costs 83 cents.

Step-by-step explanation:

you divide the price by how many seeds they sold.

Answer:

0..........5

Step-by-step explanation:

Answer:

260 miles in 4 hours equals (260 / 4) = 65 miles per hour

In 10 hours she can drive 650 miles

Step-by-step explanation:

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

Answer: b. liquid asset.

The money in your checking account, savings account, or money market account is considered liquid because it can be withdrawn easily to settle liabilities.

A savings account is a liquid asset that can be easily converted into cash. Hence, option b  is correct.

A savings account is considered a liquid asset because it can be easily converted into cash without any significant loss in value.

Unlike long-term assets that may require a lengthy process to convert into cash, such as real estate or investments, savings accounts offer quick access to funds.

This makes them highly liquid and suitable for short-term financial needs. Liquid assets provide individuals with a sense of financial security and flexibility, as they can be readily used to cover emergencies, expenses, or investments.

Overall, a savings account serves as a convenient and safe option for individuals to save and access their money when needed.

Hence, It is an example of a liquid asset which is option b.

To learn more about assets visit:

https://brainly.com/question/14826727

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Answer:

Slope=0.12   power is down by 28%

Step-by-step explanation:

:)

6x+3y=13

6x+3y-13=13--13

6x+3y-13=0

Let's simplify step-by-step.

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

There are no like terms.

Answer:

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

Answer:

19 x 23.5 x 4

Step-by-step explanation:

4 * x * (x + 4.5) =1800

Divide both sides by 4

x * (x + 4.5) = 450

Use distributive property

x^2 + 4.5x = 450

Move all terms to one side

x^2 + 4.5x - 450 = 0

Use quadratic formula to solve   a = 1, b = 4.5, c = -450

-4.5 +- [tex]\sqrt{4.5^2 - 4 * 1 * -450}[/tex]/2

=-4.5 + - [tex]\sqrt{1820.25}[/tex] / 2

= -4.5 +- 42.664 / 2

=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19

19 x 23.5 x 4

If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.

First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.

So let's assume that Loto begins at the point (0, 0).

Then:

So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd

So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:

[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]

So, if he could walk directly he would only walk 22.8 ft

The difference is:

33yd - 22.8yd = 10.2 yd.

He would walk 10.2 yards less if he could walk directly from the back door to the barn door.

If you want to learn more about displacements, you can read:

https://brainly.com/question/13271165

Answer:

See the calculation below

Step-by-step explanation:

[tex]16 + 13 + 20 = 49[/tex]

[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]

[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]

[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]

Answer:

$20,000

Step-by-step explanation:

20,000 / 0.07 = 1400

Answer:

  96°

Step-by-step explanation:

We assume you intend ...

  ΔLMN ~ ΔQRS

Then corresponding angles have the same measure:

  ∠M = ∠R = 26°

  ∠L = ∠Q = 58°

  ∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°

The measure of angle S is 96°.

Step-by-step explanation:

1 10.38

2 16.77

3 11.499

4 11.486

5 0.0947

6 30.52875

7 525

8 32.57862069

9 16.5625

Answer:

y=-1/2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-8)

y=-1/2x+8/2+3

y=-1/2x+4+3

y=-1/2x+7

Answer:

The number 9490 is called the numerator or dividend, and the number 5 is called the denominator or divisor.

The quotient of 9490 and 5, the ratio of 9490 and 5, as well as the fraction of 9490 and 5 all mean (almost) the same:

9490 divided by 5, often written as 9490/5.

Read on to find the result of 9490 divided by 5 in decimal notation, along with its properties.

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

Answer:

3/16 as a decimal is equal to 0.1875.

Let's convert the given fraction to a decimal number.

Explanation:

To convert any fraction to decimal form, we just need to divide its numerator by denominator.

Here the fraction is 3/16 which means we need to perform 3 ÷ 16.

So, 3/16 is equal to 0.1875.

Hope that helps you in some way.