What is the second part of the process of investigating a question using
data?
A. Making an inference
B. Describing the data
C. Rephrasing the question
D. Collecting the data

[tex]\text{Solve by plugging 4 to m:}\\\\(4)^2+3(4)\\\\16+3(4)\\\\16+12\\\\28\\\\\boxed{\text{D). 28}}[/tex]

The value of the expression [tex]m^{2} + 3m[/tex] when m =4 is 21.

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

The process of swapping an algebraic letter for its value is called substitution.

According to the given question we have

An expression

[tex]m^{2} +3m[/tex]

We have to find the value of given expression when m =4, for this substitute the m =4 in the expression [tex]m^{2} + 3m[/tex]

⇒ [tex](3)^{2} + 3(4)[/tex]

⇒ 9 + 12 = 21

Hence, the value of [tex]m^{2} + 3m[/tex] when m =4 is 21.

Learn more about the expression and substitution here:

https://brainly.com/question/14619835

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Answer:

3125*k^9 + y^3 is an integer my closure property.

 but 5^(1/3) is not an integer, which forces z to be irrational.

Note that there is no way an integer value can rationalize 5^(1/3)

Step-by-step explanation:

x^3 = 25z^3 - 5y^3

x^3 = 5 ( 5z^3 - y^3)

x  =  (5 ( 5z^3 - y^3) )^(1/3) must be an integer

  = 5^(1/3) * (5z^3 - y^3)^(1/3)

Then  (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k

 5z^3 - y^3 = 15625*k^9

 5z^3 = 15625*k^9 + y^3

  z^3 = 3125*k^9 + (1/5)*y^3

z =  ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)

Answer:

Option D is correct

Step-by-step explanation:

Multiply 7 by 3. then add 3 and make sure  the answer is 24.

7 x 3 + 3 = 21 + 3 = 24

Hope this helps!

:)

Answer:

Option D is correct

Step-by-step explanation:

Answer:

[tex](x + 12) + 3x = 180[/tex]

Step-by-step explanation:

4x=168

x=42 left

x+12=54

3x=126 right

Answer:

(x+12)+3x=180

Step-by-step explanation:

Hope it helps you in your learning process

(x+12)+3x=180. (straight line angles)

4x + 12 = 180

4x = 180 - 12

4x = 168

x = 168/4

x = 42°

Answer:

4

Step-by-step explanation:

In the equation y=mx+b

b is the the value of y in the y-intercept

so change 2x+3y=12 into y=mx+b (Subtract 2x from both sides)

so 3y+2x-2x=12-2x

so 3y=-2x+12 (divide by 3)

y=-2/3x+4 so

(0,4) or

4

Answer:

None

Step-by-step explanation:

There are 100cm to a meter, you have 3250cm giving you 32.5m, a km is 1000m so ther are no kilometers with 3250 cm. Not even close

Answer:

2√3

Step by step Explanation:

[tex] = > \frac{ \sqrt{96} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12 \times 8} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12} \times \sqrt{8} }{ \sqrt{8} } \\ \\ = > \sqrt{12} \\ \\ = > \sqrt{4 \times 3} \\ \\ = > \sqrt{2 \times 2 \times 3} \\ \\ = > 2 \sqrt{3} [/tex]

Answer:

23?

Step-by-step explanation:

Answer:

Modal:1

Median:2

Mean:2

Answer:

He could multiply the amount one box ways by 100, or 0.6*100.

Step-by-step explanation:

Answer:

∠3 and ∠7 ↔ Corresponding Angles

∠2 and ∠7 ↔ Alternate Exterior Angles

∠4 and ∠5 ↔ Alternate Interior Angles

∠3 and ∠6 ↔ Alternate Interior Angles

Answer:

252m^3

Step-by-step explanation:

Multiply all the numbers.

Answer:

252

Step-by-step explanation:

14 times 6 times 3=252

Answer:

c. 2+4(n-1)

b. 4+3(n-1)

Step-by-step explanation:

Look at the pattern: it starts at 2, and each term afterwards goes up by 4 each time. 2+4 = 6+4 = 10... et cetera.

2+4(n-1) is the equation.

Test this out with the fifth term.

t₅ = 2 + 4(n-1) = 2 + 4*4 = 2+16 = 18

Test it out with the first term, too.

t₁ = 2 + 4(n-1) = 2 + 4(0) = 2

If you follow the same pattern with part b, you find that the equation is

4+3(n-1)

Test it in the same manner.

Answer:

none of the above

Step-by-step explanation:

1/8 = .125

.11 =11/100

.11 repeating = 1/9

.16 = 4/25

.1666666666repeating = 1/6

Answer:

y= -7x+4

Step-by-step explanation:

(0,4)

(1,-3)

(2,-10)

4 is the y-intercept.

Answer:

15

Step-by-step explanation:

Just divide 1500 by 100

To solve this we need to make a proportion

[tex] \dfrac{1}{100} = \dfrac{x}{1500} \\ x = \dfrac{1 \times 1500}{100} \\ x = 15 \%[/tex]

Answer: 15%

Answer:

Step-by-step explanation:

5.67x - 8.16 + 3.6x + 9.2

Write the like terms together

= 5.67x + 3.6x - 8.16 + 9.2  

{8.16 & 9.2 have different sign, so subtract and the result will have the bigger numbers sign}

= 9.27x + 1.04

Answer:

i dont khow  

i guess true

Step-by-step explanation:

Answer:

true

your answer is correct

Step-by-step explanation:

Answer:

The answer is A [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

y = 2x - 8

Let y =0

0 = 2x-8

Add 8 to each side

8 = 2x-8+8

8 = 2x

Divide each side by 2

8/2 = 2x/2

4 =x

Answer:

Slope is  - 9, y-intercept is 7.

Step-by-step explanation:

f(x) = 3x - 5

g(x) = f(x+4) = 3(x+4) - 5= 3x + 12 - 5 = 3x + 7

h(x) = 3( - 3x) + 7 = - 9x + 7

h(x) = - 9x + 7

Slope of h(x) is  - 9, y-intercept is 7.

Answer:

470.8km

Hope this helped!!

Answer:

C. 470.8

on edge

Step-by-step explanation:

hope this helped

Answer:

12.92cm²

Step-by-step explanation:

[tex] area = \frac{1}{2} \times base \times height[/tex]

area= 1/2×7.6×3.4

Area = 1/2 × 25.84

Area = 12.92 cm²

Answer:

No solution

Step-by-step explanation:

4+ 2(5x-8)=ax+b

1. Plug in values: 4 + 2(5x-8) = (10)x + (-4)

2. Combine Like Terms: 4 + 10x -16 = 10x -4

3. Add 10x to both sides: 4 -16 = -4

4. Combine Like Terms: -12 = -4

-12 does not equal -4, so there is No solution

answer:

ordered pair is (2,-4)

Answer:

slope = 6

Step-by-step explanation:

The equation of a line in slope- intercep form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 2 ← is in slope- intercept form

with slope m = 6

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

[tex]\frac{3^{n+4} - 3^n}{16}[/tex]

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

[tex]\frac{3^{n+4} - 3^n}{16}[/tex] becomes

[tex]\frac{3^n * 3^4 - 3^n}{16}[/tex]

Factorize

[tex]\frac{3^n(3^4 - 1)}{16}[/tex]

[tex]\frac{3^n(81 - 1)}{16}[/tex]

[tex]\frac{3^n(80)}{16}[/tex]

3ⁿ * 5

5(3ⁿ)

The expression can not be further simplified.

However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.