Simplify:
(4x)^2

Write the expression in the form k*x^n.

Answer:

x<7

Step-by-step explanation:

simplify

[tex]5 \7x + 3 > x + 1[/tex]

subtract x from both sides

[tex] - 2 \7x+3>1[/tex]

subtract 3 from both sides

[tex] - 2 \7x>−2[/tex]

mulitply both sides by 7/-2

answer

x<7

Answer:

B

Step-by-step explanation:

Answer:

The answer is 1.41 times

Step-by-step explanation: I had the

Answer:

1.41

Step-by-step explanation:

Note: Consider we need to find the height of the container.

Given:

The volume of container in the shape of right rectangular prism = 43.875 cubic meters.

Length = 5 meters.

Width = 3.9 meters.

To find:

The height of the container.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]V=43.875,l=5,w=3.9[/tex] in the above formula, we get

[tex]43.875=5\times 3.9\times h[/tex]

[tex]43.875=19.5\times h[/tex]

[tex]\dfrac{43.875}{19.5}=h[/tex]

[tex]2.25=h[/tex]

Therefore, the height of the rectangular container is 2.25 meters.

Answer:

48 units

b= 48 units

Step-by-step explanation:

pythag is [tex]a^2+b^2=c^2[/tex]

we have a and c

so substitute them in

[tex]14^2+b^2=50^2[/tex]

now you can solve

[tex]196+b^2=2500[/tex]

subtract 196 from both sides

[tex]b^2=2500-196[/tex]

subtract

2500 - 196 = 2304

[tex]b^2=2304[/tex]

solve for the square root

square root of 2304= 48

therefore b= 48 units

Answer: Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department.  In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program.  All Program C students take a minimum of five core math courses:  Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.

Step-by-step explanation: Hope this helps.

Answer:

2/5

8/25

2/25

16/25

Step-by-step explanation:

1.92 divided 3 is 0.64

Answer = 0.64

Hope this helps!

Stay safe!

Answer:

B

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4 parts broken into 4 parts

Answer:

b

Step-by-step explanation:

since you are dividing by four, the graph must show 1/4 in for divisions.

Answer:

1) Parellel because if she had sliced perpendicular, she would have gotten a square and a triangle.

2) Perpendicular because if she had sliced parallel, she would have gotten a (once more) square and a triangle.

1) First shape and Last shape (the cylinder and the cone).

2) First shape and Second shape (the pyramid and the cone).

1) This would be a cone - I included a picture of it.

2) This would be a triangular pyramid - I included a picture of it.

Answer:

The person above me is right

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

This is because a Venn diagram is made up of two or more circles. The Venn diagram is used to find the amount that everyone agrees with. This means you have to make them overlap in order to find the answer.

Answer:

1000=1×10^3

98000=9.8×10^4

[tex]\huge\boxed{\boxed{\textbf{Hi\:there!}}}}[/tex]

First of all, when we convert numbers to scientific notation, we should recall what scientific notation looks like.

A number in scientific notation looks like that:

____x10^-

____ is the coefficient (it should always be between 1 and 10)

- is the exponent.

1,000 in Scientific notation looks like so:

10x10^2

Now, the exponent doesn't mean that we multiply 10 times 10. It means we take 10 and move the decimal point 2 units to the right (the positive exponent indicates that we move the decimal point to the right)

98,000 in Scientific notation looks like so:

9.8x10^4

[tex]\huge\boxed{\boxed{\sf{Hope\:this\:helps\:you!:)}}}[/tex]

[tex]\large\textbf{Good\:luck!}[/tex]

[tex]\large\mathfrak{LoveLastsAllEternity}[/tex]

Using proportions, it is found that the inequality that describes the problem is:

[tex]\frac{x}{4} \leq 35[/tex]

The sentence is:

In this problem:

[tex]\frac{x}{4}[/tex]

Kira expects that each person will pay at most $35, hence, the inequality is:

[tex]\frac{x}{4} \leq 35[/tex]

Solving the inequality, we have that:

[tex]x \leq 140[/tex]

Hence, the sentence is:

You can learn more about proportions at https://brainly.com/question/24372153

Answer:

$32.3

Step-by-step explanation:

First write 30% in the decimal form

30/100 = 0.3

than the equation written in the form

x = 19 + (19 - 0.3× 19)

x = 19 + ( 19 - 5.7)

x = 19 + 13.3

x =$ 32.3

So, Kate will pay $32.3

Answer:

The perimeter of the larger folder is 40 in

Step-by-step explanation:

This is because it says the two folders are similar this means that the width of the larger folder is 8 inches because the scale factor is 4/3. You can see this when you divide the length of the larger folder by the length of the smaller folder. So, if you solve 8+12+8+12 to find the perimeter you will get 40 inches

Answer:

%312.50

Step-by-step explanation:

Answer:

312.50%

(Please tell me if I'm wrong)

Answer:

x= 3

Step-by-step explanation:

Given data

Ratio= 5:2:x

Combined ratio= 5+2+x

                        = 7+x

Total amount of money= $15000

Let us apply the part to all method

Hence for Matthew whose share = $7500

5/7+x=  7500/15000

Cross multiply we have

7500*(7+x)= 15000*5

52500+7500x= 75000

Collect like terms we have

7500x= 75000-52500

7500x=22500

x= 22500/7500

x=3

Hence the value of x= 3

Answer:

18.0 i think

Step-by-step explanation:

Answer:

The scale factor is 1/4

Step-by-step explanation:

20/5 = 4

Answer:

Step-by-step explanation:

10/9

Answer:

10/9

Step-by-step explanation:

Given:

Leon had 84 paper clips.

He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

To find:

How many paper clips did Justin get?

Solution:

Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]

                                                    = [tex]63[/tex]

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]

                                                       = [tex]18[/tex]

Therefore, Justin has 18 paper clips.

Answer: 120 Packages

Step-by-step explanation:

Given

75 random packages are check

3 package is found faulty

So, the percentage of error is

[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]

i.e. 4% packages is faulty

For 3000 sample, expected faulty packages are

[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62[tex]\overline 6[/tex]

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

[tex]n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}[/tex]

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

[tex]n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25[/tex]

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion  given as follows;

[tex]\hat p = \dfrac{x}{n}[/tex]

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, [tex]\hat p[/tex] = 376/600 = 0.62[tex]\overline 6[/tex]

c. The confidence interval for a proportion is given as follows

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

Therefore, we get;

[tex]CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}[/tex]

C.I. ≈ 0.6267 ± 0.0387

The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. =  (0.588, 0.6654)

d. The margin of error is given by the following formula;

[tex]MOE_\gamma = z_\gamma \times \sqrt{\dfrac{\sigma ^2}{n} }[/tex]

Where;

[tex]MOE_\gamma[/tex] = Margin of error at a given level of confidence

[tex]z_\gamma[/tex] = z-score

σ = The standard deviation

n = The sample size

Therefore, the margin error can be reduced by the following two ways;

1) Reducing the confidence interval and therefore, the z-score

2) Increasing the sample size

Answer:

C. b = -1, c = -2

Step-by-step explanation:

2 roots: x = -1 and x = 2

(x+1)(x-2) = 0

y = x² - x -2

b= -1 , c = -2

Answer:

The andswer is C    b= -1 c=-2

Step-by-step explanation:

I took the quiz!!

Answer:

Zero

Step-by-step explanation:

a=0

So a is neither positive nor negative, its zero.

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