You're choosing between two car rental companies. Company A charges an initial fee of $15 with $.25 per mile, while Company B only charges $.50 per mile. How many miles will it take for both companies to have the same service price? What's this price amount? Use the following systems of linear equations to solve by graphing. Company A: y = 0.25x + 15 Company B: y = 0.50x plesss helppp Question 5 options: A...55 miles; $25 B....62 miles; $35 C...60 miles; $30 D.... 58 miles; $29 plessss help me i neeedddd helpppppp

Answer:

Option (D)

Step-by-step explanation:

Figure (1) is a rhombus and figure (2) is a rectangle.

Figure (1) will overlap onto itself by the rotation of 180° about the center.

Figure (2) will overlap onto itself by 2 possible ways.

1). Reflection across a line passing through the center of the figure and parallel to one of the sides.

2). Rotation of the figure by 180° about the center.

Therefore, common transformation of both the figures will be,

A rotation of 180° about the center.

Option (D) will be the answer.

We want to see which transformation maps a rhombus into itself and a rectangle into itself.

The correct option D, a rotation of 180° about the center of the figure.

So we have two figures that are parallelograms, but neither are a square. This means that rotations of 90° will not map the figures into the same figures, as for example, for the rectangle, a rotation of 90° changes the length into the width.

But if we apply another rotation of 90°, we have that change again, this means that after two rotations of 90° (or a single rotation of 180°) we map the length into the length and the width into the width (same thing for the rhombus).

Then the transformation that maps the figures into the same figure is a rotation of 180° about the center of the figure, thus the correct option is D.

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Question 8

1) \(\triangle ACE\) with \(\overline{AC} \cong \overline{EC}\), \(\overline{BC} \cong \overline{DC}\) (given)

2) \(\angle C \cong \angle C\) (reflexive property)

3) \(\triangle ACD \cong \triangle ECB\) (SAS)

Question 9

1) \(\overline{PQ}\) and \(\overline{PR}\) are the legs of isosceles \(\triangle PQR\), \(\overline{PS} \cong \overline{QR}\) (given)

2) \(\angle PSQ\) and \(\angle PSR\) are right angles (definition of perpendicular lines)

3) \(\angle Q \cong \angle R\) (angles opposite the legs of an isosceles triangle are congruent)

4) \(\overline{PS} \cong \overline{PS}\) (reflexive property)

5) \(\angle PSQ \cong \angle PSR\) (all right angles are congruent)

6) \(\triangle PSQ \cong \triangle PSR\) (AAS)

Question 10

1) \(\overline{AB} \cong \overline{CD}\), \(\overline{AB} \perp \overline{BC}\), \(\overline{CD} \perp \overline{AD}\) (given)

2) \(\overline{AC} \cong \overline{AC}\) (reflexive property)

3) \(\angle ABC\) and \(\angle ADC\) are right angles (perpendicular lines form right angles)

4) \(\triangle ABC\) and \(\triangle ADC\) are right triangles (a triangle with a right angle is a right triangle)

5) \(\triangle ABC \cong \triangle CDA\) (HL)

6) \(\overline{AD} \cong \overline{CB}\) (CPCTC)

Answer:

Step-by-step explanation:

Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.

After 110 men left, the number of men remaining is 10x - 110.

The total number of people remaining is (10x - 110) + (3x) = 13x - 110.

According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:

10x - 110 = (5/12)(13x - 110)

To solve this equation, we can start by simplifying both sides:

10x - 110 = (65/12)x - (55/6)

To get rid of the fractions, we can multiply both sides of the equation by 12:

12(10x - 110) = 65x - 110(2)

120x - 1320 = 65x - 220

Next, we can bring the x terms to one side and the constant terms to the other side:

120x - 65x = 1320 - 220

55x = 1100

Dividing both sides by 55, we find:

x = 20

Now, we can substitute the value of x back into the initial expressions to find the number of men and women:

Number of men = 10x = 10(20) = 200

Number of women = 3x = 3(20) = 60

Therefore, there were 60 women at the exhibition

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Table 1 is filled with option C, table 2 is filled with option A, B, and E, and table 3 is filled with option D.

There are six different shapes given in the questions.

We need to fill the table that is given in the question. The table is asked to segregate the figures into regular polygons, irregular polygons, and not polygon.

Therefore,

A regular polygon is only the option (C)

Irregular polygon is options A, B, and E.

Not a polygon is the only option (D)

Thus, table 1 is filled with option C, table 2 is filled with option A, B, and E, and table 3 is filled with option D.

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The speed on the boardwalk would make Daniel and Brandon arrive at the same time is 5.62 ft/s.

What is the speed?

In everyday language and in the field of kinematics, speed refers to the magnitude of an object's displacement over a given time interval or the magnitude of its displacement divided by the corresponding time duration.

Then, we have  Vs is the speed on the beach and Vb is the speed on the  walk.  to get the time it takes to travel a distance, take the distance(ft.) and divide it by the speed(ft./ s).

The two ft units will cancel out and give you an answer of time in seconds.  

The time it takes to travel the green path is equal to588.6/ Vs  The time to travel the red path is327.6 Vs 489/ Vb  

To set the time for both paths equal to each other / Vs 489/ Vb = 588.6/ Vs  

we know Vs =  3 ft/ s so / 3 489/ Vb = 588.6/ 3  489/ Vb = 196.2  489/ Vb =  87  489/ 87 =  Vb  Vb ≈5.62 ft/ s  

Hence, the speed on the  walk would make Daniel and Brandon arrive at the same time is5.62 ft/s.

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The outlier of 2 decreases the mean page count.

What is mean and median?

The mean is that the variety you get by dividing the total of a collection of values by the quantity of values within the set.

In distinction, the median is that the middle variety in an exceedingly set of values once those values square measure organized from smallest to largest.

Main Body:

From the picture we can  know that outlier of 2 does not effect the median page count.

But outlier of 2 decreases the mean page count.

it can be found out by taking mean

(1+2+3+2+1+2+2+1)/8= 1.75

and if we remove outlier of 2 ,then

(1+3+2+1+2+2+1)/7 = 1.86

Hence ,the outlier of 2 decreases the mean page count.

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Answer:

the answer is d

Step-by-step explanation:

If you are allocated 1 TB data to use on your phone, it will take you 83.33 years until you run out of your quota of 1 GB/month consumption.

1 Terabyte (TB) = 1,000 Gigabytes (GB

So, 1 TB = 1,000 GB

So, the total data available is 1,000 GB/month

Then, to find how many years it will take until you run out of your quota of 1 GB/month consumption, divide the total data available by the monthly consumption:

1,000 GB/month ÷ 1 GB/month = 1,000 months

To convert months to years, divide by 12:1,000 months ÷ 12 months/year ≈ 83.33 years

Therefore, it will take you 83.33 years until you run out of your quota of 1 GB/month consumption.

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Answer:

- 5√2 / 2   ,   - √2

Step-by-step explanation:

√2 x² + 7x + 5√2 = 0

√2          5

1              √2

(√2 x + 5) (x + √2) = 0

√2 x + 5 =0            x = - 5/√2 = - 5√2 / 2

or x + √2 = 0          x = -√2

Answer:

88

Step-by-step explanation:

180 - 92 (circle theorem) quadrilateral add up to 180

They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data

set.  The mean, median and mode are the three commonly used measures of central tendency.

To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of

values.

The mean, μ, of the sampling distribution of p can be found using the formula

μ = p,

where p is the proportion of adults in the entire population who support the increase.

In this case, 40% of all adults in Ohio support the increase, so p = 0.40.

Therefore, the mean of the sampling distribution of p is:

μ = 0.40

So the correct answer is (d) 0.40.

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Answer:

he was 9 ft in and swam a total of 87 ft total.

Answer:

Step-by-step explanation:

<1 + <3 form a linear pair. They are supplementary.

Answer:

corresponding angles

Step-by-step explanation:

...........mmmmmmm

Answer :

For a function to be one to one it must

For a function to be one to one it mustpass the horizontal line test. For every

For a function to be one to one it mustpass the horizontal line test. For everyoutput value f(x) there is only one

For a function to be one to one it mustpass the horizontal line test. For everyoutput value f(x) there is only oneinput value x..

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Answer:

20 : 50

Step-by-step explanation:

sum the parts of the ratio , 2 + 5 = 7 parts

divide 70 by 7 to find the value of one part of the ratio

70 ÷ 7 = 10 ← value of 1 part of the ratio , then

2 parts = 2 × 10 = 20

5 parts = 5 × 10 = 50

then

50 divided in the ratio 2 : 5 is 20 : 50

Answers:    middle box:   1.32

                   middle right box:   -3.3

                   bottom left:   -0.5

                   bottom middle:   0.6

Step-by-step explanation:

[Find out the middle box]

\(-1.2\) x \(-1.1\)\(=1.32\)

[Find out the box in the middle right]

\(3\) x \(-1.1 = -3.3\)

[To Find out the bottom left box - divide each side by three]

\(x\) x \(3 = -1.5\)

\(x = -0.5\)

[Bottom middle box]

\(-0.5\) x \(-1.2 = 0.6\)

General Rule:

\(negative\) x \(negative = positive\)

\(negative\) x \(positive = negative\)

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Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

Nul(A) = Nul(B) , Col(A) = Col(B) in integer matrices.

Describe matrix using an example?

A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements.

                                 In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics.

The null space of any matrix A consists of all the vectors

 X  such that Ax = 0

And the column space of a matrix A is the span of its column vectors.

Let  A = \(\left[\begin{array}{ccc}1&0&0 \\0&1&0\\0&0&1\end{array}\right]\)

Therefore, Nul(A) = {(0,0,0,w ) w∈ Z }

 Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }

By using definition of Null space of matrix and column space of matrix.

 Let B = \(\left[\begin{array}{ccc}1&1&0\\0&1&0\\0&0&1\end{array}\right]\)        

Nul(A) = {(0,0,0,w ) w∈ Z }

 Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }

Hence Nul(A) = Nul(B) , Col(A) = Col(B)

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There will be  2850 of the 3000 random samples will contain the population mean.

If 95% confidence intervals are computed for each sample, it means that we expect approximately 95% of the intervals to contain the population mean.

In the case of 3000 random samples, we can estimate the number of intervals that will contain the population mean by multiplying 3000 by the percentage of intervals that are expected to contain the mean.

Approximately, 95% of the 3000 random samples will contain the population mean. So, the estimated number of intervals that will contain the population mean is:

Estimated number = 0.95 * 3000 = 2850

Therefore, approximately 2850 of the 3000 random samples will contain the population mean.

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Answer:

Step-by-step explanation:

Rolling two dice, there are 6*6 = 36 outcomes

The outcomes with the difference of 4:

Required probability:

Correct choice is b

Jen simulated her net income over 5 years assuming sales vary based on a normal distribution $100,000 and operating costs 60% and 65% of sales. keeping the loan payment be fixed at $13,000. The probability of making at least $12,000 each year is the number of successful simulations divided by 100. and at least $60,000 total over 5 years based as the number of successful simulations divided by 100.

To simulate Jen's annual net income over the next 5 years, a spreadsheet model can be created with columns for year, sales, operating costs, loan payment, and net income.

For each year, the sales can be generated from a normal distribution with mean $100,000 and standard deviation $10,000, and the operating costs can be generated from a uniform distribution between 60% and 65% of sales.

The loan payment can be fixed at $13,000, and the net income can be calculated as the difference between the sales, operating costs, loan payment, and taxes (28% of net income).

To find the probability that Jen will make at least $12,000 in each of the next five years, 100 simulations can be run using the model created in part a. For each simulation, the net income for each of the next five years can be calculated, and if the minimum net income is at least $12,000 for each year, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

To find the probability that Jen will make at least $60,000 total over the next five years, 100 simulations can be run using the model created in part a. For each simulation, the total net income over the next five years can be calculated, and if it is at least $60,000, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

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Answer:

5

Explanation: y-intercepts are just numbers that don't have any variables and they can be found on the y axis.

Answer:

5

Step-by-step explanation:

Rewrite the equation as y=-7x+5.

y=mx+b is slope-intercept form with mx representing slope and b representing the y-intercept.

The confidence interval for the given standard deviation is  [992.3, 1390.9].

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

A)

Mean = 1191.6

standard deviation = 506.6

n = 43

for true average lifetime C.I. = 99%

z value for 99% in z table = 2.55

C.I. = Mean ± z*s/√n

C.I. = 1191.6 ± 2.55*506.6/√43

C.I. = 1191.6 ± 197.0

C.I. = [992.3, 1390.9]

hence the confidence interval  is  [992.3, 1390.9].

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In this problem, the dependent variable is how funny the cartoon on a scale 0- 10. So, right choice is option(c).

The terms indepedent variable and dependent variable are self-explanatory, but to explain in detail :

In the problem, let us examine each option , whether it is correct or not with the explanation.

a) Length of the cartoon was no way involved in the situation, hence this option may not be taken into consideration for dependent variable.

b) Number of students in the study may be considered as the independent variable as the funny reactions depend whether on the student watching alone or with group of students

c)How funny the cartoon is on the scale of 1-10 is the required predicted variable which is the final outcome. This is the dependent variable as it depends on the content whether the student is watching alone or with a bunch of students. Hence, the best possible answer in this scenario.

d ) Number of laughs is not in the schema of consideration, may not be the required answer.

So, required answer is option(c).

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Complete question:

students watched a cartoon either alone or with others and then rated how funny they found the cartoon to be on a scale of 0 - 10. what is the dependent variable?

a) the length of cartoon

b) number of students in study

c) how funny the cartoon on a scale 0- 10

d) the number of laughs

Answer:

Step-by-step explanation:

Add them all together which is

ABC124A4B2C-16-3A3B-C  yep

From the power rules, the matching of  each expression with its equivalent expression is:

\(5^{-3}=\frac{1}{125}\)

\(-5^{-3}=-\frac{1}{125}\)

\((-5^{-3})^{-1}=-125\)

\((-5^{-3})^{0}=1\)

There are different power rules, see some them:

1. Negative exponent. For this rule when you have a negative exponent, you need to invert the number, i.e, the power base is converted to the denominator. After that, you should solve the power with a positive exponent.  See the  examples:

\(4^{-3}=\frac{1}{4^3} =\frac{1}{64} \\ \\ {\frac{4}{6} }^{-2}=( {\frac{6}{4} })^{2}=\frac{36}{16}\)

2. Power. For this rule, you should repeat the base and multiply the exponents. See the  example, \((2^{2})^3=2^6=64\).

3. Zero Exponent. When you have an exponent equals to zero, the result must be 1.  See the  example, \(2^0=1\).

From this for your question, you have:

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The value of the functions 2f + 4g is {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)} and the value of 2g/h is (1,2.5)

In particular, a function maps each element of a set (called the domain) to a unique element of another set (called the range). In this context, we'll look at two functions, f and g, and explore how we can perform arithmetic operations with them.

We can think of these pairs as points on a Cartesian plane, where the x-coordinate represents the input and the y-coordinate represents the output.

Now, let's move on to the arithmetic operations with functions. The first operation we're asked to perform is 2f + 4g. To do this, we need to apply the following steps:

Multiply each ordered pair in f by 2, and multiply each ordered pair in g by 4. This means that the inputs stay the same, but the outputs are multiplied by their respective constants.

Simplify the resulting set by removing any duplicate ordered pairs.

Let's work through this process step by step for our given functions:

Multiplying f by 2 gives us: {(-2,4), (0,6), (2,10), (-2,6)}

Multiplying g by 4 gives us: {(-8,4), (0,12), (4,20), (-4,12), (12,0)}

Taking the union of these sets gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

Simplifying this set by removing duplicates gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

So, 2f + 4g is the function represented by the set {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}.

For the ordered pair (1,5) in g, the corresponding ordered pair in h is (5,4). So, we can compute 2g(1)/h(5) as follows:

2g(1) = 2 * 5 = 10

h(5) = 4

2g(1)/h(5) = 10/4 = 2.5

Therefore, the ordered pair (1,2.5) is in the result set.

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The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.

Height of Gateway Arch in St. Louis, MO = 630ft tall

We are asked, how many nickels would be in a stack of the same

height when 1 nickel is 1.95 mm thick.

Convert height in ft to mm

1 ft = 304.8 mm

630ft = X

After Cross Multiply,

630ft × 304.8mm/1ft

= 192024 mm.

To find how many nickel would be in a stack of the same height

= Total thickness/ Thickness of 1 US dime

= 192024 mm/1.95mm

= 98473.8

≈98474 nickels

Therefore, the number of nickel that would be in a stack of the same height is 98474.

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