Maya is comparing ride-sharing company prices. Company M charges $1.75 per mile driven and a one-time trip fee of $5. Company N charges $2.50 per mile driven and a one-time trip fee of $3. Which inequality can be used to find x, the minimum number of miles driven so that the total cost at Company M is less than the total cost at Company N?

The height of the 5.2 feet person in centimeters is 158.496 cm.

A conversion factor must be added, subtracted, multiplied, or divided throughout the multi-step process of unit conversion. Additionally, selecting the appropriate number of significant digits and rounding may be necessary.

Different conversion units are used to quantify various measurements. By definition, unit conversion is the process of converting two measures of the same quantity between distinct units by multiplying or dividing them.

In mathematics, conversion is the process of changing a value's form, such as from millimeters to inches or liters to gallons. Units are used for measurements of length, weight, capacity, temperature, and speed.

Given,

Height of a person = 5.2 feet.

The conversion between inches and centimeters must also be included.

First, convert feet to inches.

1 foot = 12 inches

Converting the given height to inches,

Height = 5.2 × 12

= 62.4 inches

Now, we will convert the height into centimeters,

To convert, we will multiply by 2.54

Height = 62.4 × 2.54

= 158.496 cm

Therefore, the height of the person in centimeters is 158.496 cm

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Answer:

75%

Step-by-step explanation:

Divide 42 and 56

Step-by-step explanation:

4^3×5^2×9^4×7^2,hope it is helpful

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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The due date of the promissory note is May 24th 2013.

Data;

To calculate the due date of the note, we can use the formula of future value of the note.

\(FV = PV (1 + \frac{r}{n})^d\\ 3970 = 3600 (1 + \frac{9.6}{12})^d\\3970 = 3600(1+0.008)^d\\\frac{3970}{3600} =(1.008)^n\)

Let's take the natural log of both sides

\((1.008)^n = (\frac{3970}{3600})\\ n\ln(1.008) = \ln(\frac{397}{360})\\ n = 12.28\)

This is approximately 12 months and 9 days.

The due date of the promissory note is May 24th 2013.

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Population of Planet Eenie is  1.4 × \(10^{3}\) times greater than the population of Planet Meenie.

Two planets named Eenie and Meenie.

Population of  Planet Eenie = 72,980,001

Population of  Planet Meenie =  54,908

We need to find how many times greater is the population of Planet

Eenie than the population of Planet Meenie. So, we need to follow the steps written below:

( Population of  Planet Eenie / Population of  Planet Meenie )

= ( 72,980,001 / 54,908 )

= 1329.1323

= 1.33 × \(10^{3}\)

This calculated value is near option 2 i.e., 1.4 × \(10^{3}\). So,  1.4 × \(10^{3}\) is the correct option.

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Answer:

y=-11

Step-by-step explanation:

m = 0 because the line is horizontal so there is no slope

Answer:

(6,0) (2,-1) (-1,0)

Step-by-step explanation:

just take the coordinates and add 4 and subtract 3 from them.

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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The value of x = 15.

The equation given is \(3^{14}\) + \(3^{14}\) + \(3^{14}\) = \(3^{x}\).

We can simplify this equation by adding the three terms on the left-hand side, which gives us 3(\(3^{14}\)) =\(3^{15}\).

Therefore, x = 15.

To understand why this is the case, we need to remember the laws of exponents.

The law of exponents states that when we multiply two numbers with the same base, we can add their exponents.

So, for example, \(3^{2}\) * \(3^{3}\) = \(3^{2+3}\) = \(3^{5}\).

Using this law, we can see that \(3^{14}\) +\(3^{14}\) + \(3^{14}\) is the same as 3 * \(3^{14}\).

And since 3 is also a factor of \(3^{15}\), we can combine the terms to get \(3^{15}\).

Therefore, x = 15.

We arrived at this conclusion by using the law of exponents to combine the terms on the left-hand side of the equation.

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Answer:

-2

Step-by-step explanation:

Standard equation of a proportional relationship:

y = kx

We use the given point to find k.

4 = k × (-16)

k = 4/(-16)

k = -1/4

The equation of this proportional relationship is

y = -1/4 x

Now we use x = 8 in the equation just above to find its corresponding y value.

x = 8

y = -1/4 × 8

y = -2

Answer: -2

Answer: To find (g∘f)(x), we need to first find the composite function g(f(x)):

g(f(x)) = g(2x - 2)

We can now substitute the expression for f(x) into g(x):

g(f(x)) = g(2x - 2) = 6(2x - 2)^2 - 3

Expanding the squared term, we get:

g(f(x)) = 6(4x^2 - 8x + 4) - 3

Simplifying and combining like terms, we get:

g(f(x)) = 24x^2 - 48x + 21

Therefore, (g∘f)(x) = 24x^2 - 48x + 21.

Step-by-step explanation:

Answer: A. -5

Step-by-step explanation: I used the points (0,2) and estimated the x-intercept to be about (0.5,0) to find the slope. The answer I got was -4 and the closest thing to that (aka best represents) is -5.  

Answer:

A. -5

Step-by-step explanation:

Slope is basically rise over run. If you look at the points (1, -3) and (0, 2), you will see that it has risen by 5 digits and went to left by 1 digit. Therefore the slope would be 5/1 which is basically 5. Next, it is a negative slope so you would add the negative. Your slope would be -5.

Answer:

12

Step-by-step explanation:

6/4 is equal to 1.5, multiply that by 8 and you get 12

Answer:

Step-by-step explanation:

For the null hypothesis,

p = 0.35

For the alternative hypothesis,

P > 0.35

Since the z score is given as z = 1.82, we would find the probability value by determining the area above the z score from the normal distribution table. The required probability value is

1 - 0.966 = 0.034

Assuming alpha = 0.05,

Since alpha, 0.05 > than the p value, 0.034, then we would reject the null hypothesis. Therefore, the correct option is

At significance level of 5%,

There is enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Answer:

D

Step-by-step explanation:

D because K to M is the shortest line in the diagram. Please mark brainllest if you want you dont have to.

Answer:

An extraneous solution is a solution that is obtained by solving an equation, but when that solution is substituted back into the original equation, it does not actually satisfy the equation. This usually happens when a certain operation (such as squaring both sides of an equation) introduces additional solutions that do not satisfy the original equation.

Now, let's consider the equation 2x = x. To solve for x, we can subtract x from both sides:

2x - x = x - x

x = 0

So the solution to the equation is x = 0. However, if we substitute x = 0 back into the original equation, we get:

2(0) = 0

Which is true, so x = 0 is a valid solution to the equation. Therefore, there is no extraneous solution in this case.

Step-by-step explanation:

Answer:

7y/4x

Step-by-step explanation:

Answer:

y=6 , x=8

Step-by-step explanation:

3y - 2 = 4y - 8 (opposite sides of a parallelogram are equal)

-2 + 8=4y - 3y

6=y

2x -4 =x +4 (opposite sides of a parallelogram are equal)

2x -x=4+4

x=8

Answer:

\(str + stu = 180 \\ 180 - 20 = 4x \\ 160 = 4x \\ x = 40\)

Answer:

20 sec

Step-by-step explanation:

2.4 in = 144 sec

124

144 - 124 = 20

2(cos2x - sin2x)

Step-by-step explanation:

Y = sin2x + cos2x

Differentiate wrt x

dy/dx = cos2x . 2 - sin2x . 2

= 2(cos2x - sin2x)

Answer:

a. Identify the population of interest in this study.

b. Identify the sample for the study.

c. Identify the parameter of interest in the study.

d. Find and interpret a 95​% confidence interval for the parameter of interest.

z score for a 95% confidence level = 1.96

margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579

95% confidence level interval:

0.4 - 0.13579 = 0.26421

0.4 + 0.13579 = 0.53579

Answer:

y = 6x + 4

Step-by-step explanation:

We know the equation is linear.  First, use two points to find the slope of the line.

m = (y₂ − y₁) / (x₂ − x₁)

m = (10 − 4) / (1 − 0)

m = 6

The y-intercept is 4.  So the equation of the line is:

y = mx + b

y = 6x + 4

Answer:

Step-by-step explanation:

Let,

The req. number be = x

So,

Two - thirds of the number

\( = \frac{2}{3} x\)

Then, it is reduced by 13

\( = \frac{2}{3} x - 13\)

After that,

The req. result we get is = 7

Therefore,

By the problem,

\( = > \frac{2}{3} x - 13 = 7\)

\( = > \frac{2}{3} x = 7 + 13\)

\( = > \frac{2}{3}x = 20\)

\( = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} \)

=> x = 30

Hence,

The req. number is 30.

Given that :

To Find :

Solution :

Let's assume the number as x

According to the question :

\(\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }\)

Adding 13 to both sides we get :

\(\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }\)

\(\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }\)

Now, Multiplying both sides by \( \dfrac{3}{2} \) we get :

\(\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }\)

\(\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }\)

\(\qquad \sf \: { \dashrightarrow x = 10 \times {3} }\)

\(\qquad \bf \: { \dashrightarrow x = 30 }\)

Therefore, The number is 30.

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

0.44 is the correct answer

Answer:

.44

Step-by-step explanation:

11/25

Multiply the top and bottom by 4

11*4

-------

25*4

44

-----

100

The decimal is .44

Answer:  Approximately 30.4 degrees

=========================================================

Work Shown:

324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.

The adjacent side is 550 since it is the leg closest to the angle theta.

We'll use the tangent rule to connect the two sides

tan(angle) = opposite/adjacent

tan(theta) = 322.4/550

theta = arctan(322.4/550)

theta = 30.3780566013696

theta = 30.4

Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.