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gizmo_the_mogwai [7]
2 years ago
7

F(x) = 3x+2 What is f(5)?

Mathematics
1 answer:
Artist 52 [7]2 years ago
6 0

Answer:

f(5)=17

Step-by-step explanation:

if,f(x)=3x+2

Then,f(5)=3*5+2

f(5)=17

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When you run, your average step length is 42 inches. How many steps would you have to take to run 1 mile (5,280 feet)? Round to
bezimeni [28]
First convert 5,280 ft. into inches.
5280 \times 12 = 63360
5280 ft. equals 63360 inches.

Then you divide that by 42
63360 \div 42 = 1508.57
If you're rounding to the nearest step then it would take 1509 steps to run 1 mile.
6 0
3 years ago
What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
1 year ago
What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that
AlladinOne [14]

This question is incomplete.

The complete question says;

The two-way table shows the number of hours students studied and whether they studied independently or with a study group.

What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently?

a) 0.4               c) 0.25                    

b) 0.33            d) 0.11

Table is attached as image

                     

Answer:  C (0.25)

The number of students that studied for more than 2 hours as given in the table are 4.

The total number of people that studied independently include those that studied less than 2 hours and those that studied for more than 2 hours.

Those that studied less than 2 hours independently are 12.

Those that studied more than 2 hours independently are 4.

Hence the total number of people that studied independently is 16.

Therefore the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently would be = 4/16 = 1/4 = 0.25.

6 0
2 years ago
X^2+y^2=169, 3x+2y=39 please answer using substitution and each step
Oksanka [162]

Answer:

x=13,y=0

Step-by-step explanation:

We are given a system of equations

{x}^{2}  +  {y}^{2}  = 169 -  - eqn \: 1 \\ 3x + 2y = 39 -  - eqn \: 2

For equation 1,square all terms to reduce it

√x²+√y²=169

x+y=13

Make x the subject as required by the question to use substitution method

x=13-y

Plug x=13-y into eqn 2

3(13-y)+2y=39

39-3y+2y=39

39-y=39

y=39-39=0

Plug y=0 into equation 1

x+0=13

x=0

7 0
2 years ago
What belongs in the box marked with the question mark in the proof?
koban [17]
<span>the blank boxes are for you to plug in x=20 to prove its right. so it would be 3(20)-4=2(20+8) 60-4=2(28) 56=56 so its true!</span>
6 0
3 years ago
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