Dan is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $88 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.​

Answer:

Randomized experiment

Step-by-step explanation:

The parties involving in a randomized experiment possess no option in selecting the particular type of treatment they will undergo but here party are randomly assigned to different treatment groups. From the given information, the researcher randomly assigned some students whose mission is the submission of assignments on paper and another group to submit electronically. This scenario is said to obey a randomized experiment.

Discuss measures that can be taken to develop the spirit of hard work

9514 1404 393

Answer:

Step-by-step explanation:

Assuming the events are independent, the numbers of ways are multiplied in order to find the total number of possible ways a combination of events can happen.

1. 3×4 = 12

2. 1×5 = 5

3. 4×6×2 = 48

4. 2×9×5 = 90

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

A decrease of 3% means the car is now valued at 97% of the original price. ( 100% -3% = 97%)

multiply original price by 97%

45,600 x 0.97 = 44,232

Answer: $44,232

Answer:

Domain is all real numbers

Range is (3, ∞) or y > 3

Step-by-step explanation:

The required decimal that is greater than the decimals shown in the diagram are 0.5, 0.32, and 0.4. Options B, C, and D are correct.

Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,

here,
The decimal value is shown in the image,
= 31 / 100

= 0.31

From the options,
0.31 > 0.1
0.31 < 0.5
0.31 < 0.32
0.31 < 0.4

Thus, the required decimal that is greater than the decimals shown in the diagram are 0.5, 0.32, and 0.4. Options B, C, and D are correct.

Learn more about decimal values here,

brainly.com/question/19802955

#SPJ1

Answer:

105 ft

Step-by-step explanation:

since the shark is swimming at a depth of 30 ft mean is -30 ft...
so the distance between the bird and the shark is

7 5 ft - (- 30 ft)  = 105 ft

I hope it help

For a linear equation, the first step is to find the slope.

Based on the table, I see that every time "t" increases by 1, then "k" increases by 4.

Since we're told k is the dependent variable, the slope will be
    \(\dfrac{\text{change in }k}{\text{change in }t}} = \dfrac{4}{1} = 4\)

The slope is always \(\dfrac{\text{change in dependent variable}}{\text{change in independent variable}}\).

Once you have the slope, you need the vertical  (We'd normally call this this y-intercept, but there's no "y" here.  You could call it the "k" intercept in this example.)

From the table, we again see that t=0 has k=2, so that 2 is the value we need.

This gives us our equation: k = 4t + 2.

(This all is really just the slope-intercept form with x's now being called "t" and y's now being called "k".)

Answer:

To solve a geometric shape, you need to know its properties such as the number of sides, angles, and other measurements that are relevant to the particular shape. Here are some steps to solve a geometric shape:

1. Identify the shape: Determine the name of the shape, such as a square, circle, triangle, or rectangle.

2. Determine the properties: Find out the properties of the shape based on its name. For example, a square has four equal sides and four right angles.

3. Measure the dimensions: Measure the dimensions of the shape such as the length of the sides, the diameter, or the radius.

4. Use formulas: Use the appropriate formulas to calculate missing measurements such as the area or perimeter of the shape.

5. Check your work: Finally, check your work to ensure that all calculations and measurements are correct.

Remember that the solution to a geometric shape problem will depend on the specific properties and measurements of that shape.

The area of rectangle  is 1.42×2=2.84

Given,

The area of rectangle is 1.42×2=2.84

The length of rectangle is 1.38×.98=1.3524

A rectangle is a quadrilateral with equal angles and opposing sides that are equal and parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. We will study about the rectangle form and its features in this chapter.

The rectangle is a four-sided closed two-dimensional shape. A rectangle's opposite sides are equal and parallel to one other, and all of its angles are equal to 90°.

To  learn more about Rectangle  from the given link:

https://brainly.com/question/15019502

#SPJ9

a) Mean for the first year of the contract: $63,500

The standard deviation for the first year of the contract: $2,000.

b) Mean for the second year of the contract: $65,405.

The standard deviation for the second year of the contract: $60.

We have,

To find the mean and standard deviation for the first year of the contract, we can use the given information and the properties of the normal distribution.

Given:

The mean salary for professors in the previous year = $62,000

Standard deviation in the previous year = $2,000

Raise in the first year = $1,500

Mean for the first year of the contract:

The mean salary for the first year can be obtained by adding the raise to the previous mean:

Mean = Previous Mean + Raise

Mean = $62,000 + $1,500

Mean = $63,500

The standard deviation for the first year of the contract:

Since each professor receives the same raise, the standard deviation remains the same:

Standard Deviation = $2,000

Therefore, for the first year of the contract, the mean salary is $63,500, and the standard deviation remains $2,000.

Now,

In the second year of the contract, each professor receives a 3% raise based on their salary during the first year of the contract.

To find the mean and standard deviation for the second year, we can use the given information and the properties of the normal distribution.

Mean for the second year of the contract:

To calculate the mean for the second year, we need to add a 3% raise to the mean salary of the first year:

Mean = Mean of the first year + (3% * Mean of the first year)

Mean = $63,500 + (0.03 * $63,500)

Mean = $63,500 + $1,905

Mean = $65,405

The standard deviation for the second year of the contract:

Since each professor receives a raise based on their salary from the first year, the standard deviation also increases. To calculate the standard deviation, we multiply the standard deviation from the first year by the percentage increase:

Standard Deviation = Standard Deviation of the first year * (Percentage Increase / 100)

Standard Deviation = $2,000 * (3 / 100)

Standard Deviation = $2,000 * 0.03

Standard Deviation = $60

Therefore, for the second year of the contract, the mean salary is $65,405, and the standard deviation is $60.

Thus,

a) Mean for the first year of the contract: $63,500

The standard deviation for the first year of the contract: $2,000.

b) Mean for the second year of the contract: $65,405.

The standard deviation for the second year of the contract: $60.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ1

Answer:

q = -1/8

Step-by-step explanation:

You're trying to solve for q
32q+4=0

Subtract 4 both sides
32q=-4

Now Divide -4 by 32 (This means you have to simplify)
-4/32 = -1/8 due to the common factor of 4.

q = -1/8

Answer:

4(8q+1)

Step-by-step explanation:

32q+4

4*8q+4*1

4(8q+1)

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

learn more about linear expression from

https://brainly.com/question/2030026

#SPJ1

Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

The maximum area is 12.25 square feet

From the question, we have the following parameters that can be used in our computation:

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

Read more about area at

https://brainly.com/question/25292087

#SPJ1

Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

Answer: an=40(n-1)+70

Step-by-step explanation:

70, 110, 150, ….

Notice the terms get bigger by 40 as the sequence progresses. Hence, we can model this sequence with a linear equation. y=40(x-1)+70 where y=term value, x=term number and 70 is the first term.

y=40(x-1)+70

an=40(n-1)+70    ==> an=term value/nth term. n=term number

Answer:

The graph of a direct variation equation is a line through the origin. The slope of the graph of y = ax is a. through the point (4,6). Write the direct variation equation and find the value of y when x =24.

Step-by-step explanation:

\(m(2m+2n)+3mn+2m^2\implies \stackrel{\textit{distributing}}{2m^2+2mn}+3mn+2m^2 \\\\\\ 2m^2+2m^2+2mn+3mn\implies \stackrel{\textit{adding like-terms}}{4m^2+5mn}\)

Answer:

The polynomial degree is 8

Step-by-step explanation:

Answer:

r = 3/2

Step-by-step explanation:

The common ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence (\(a_{n} =a_{n-1}*r\)). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get \(r=\frac{a_{n}}{a_{n-1}}\)). If we take 24 and divide it by 16, we get the common ratio of 3/2 (\(r=\frac{24}{16}\), \(r=\frac{3}{2}\)). Hope this helps.

Answer:

------------------------------

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

Answer:

32

Step-by-step explanation:

i just did 4 times 4 and add it  to 8 times 2

Answer:

The area of the figure is 28.

Step-by-step explanation:

First, split it into a square and a trapezoid.

Then calculate the area of each of them.

Square = 4 times 4 = 16

Trapezoid = ((4 + 2)/ 2)*4 = 12

12 + 16 = 28

I hope this helps :)

Answer:

Solution,

Given,

f(x) = -4x + 7

g(x) = \(x^{3}\)

Now,

fog(x) = f{g(x)} = f(\(x^{3}\)) = -4\(x^{3}\)+7

Answer:

He goes 8 miles an hour

Step-by-step explanation:

8/2 is equal to 4. If Brandon bikes 4 miles in half an hour and keeps a constant speed he ends up biking 8 miles in an hour since two halves of an hour make one.

Answer:

a) 0.572

b) There is moderate positive relationship between  age and happiness.

c)

Scatter plot is attached

Step-by-step explanation:

a)

\(Sample correlation coefficient=r=\frac{nsumxy-(sumx)(sumy)}{[nsumx^{2}-(sumx)^2][ nsumy^{2}-(sumy)^2] }\)

Age(x)  Happiness(y)          x²         y²        xy

49     62            2401 3844 3038

51     66            2601 4356 3366

41      67             1681        4489 2747

65    71              4225 5041 4615

84     87             7056 7569 7308

41      60            1681  3600 2460

83     86            6889 7396 7138

18     78             324  6084 1404

36     59            1296 3481 2124

61     63             3721 3969 3843

15     77             225  5929 1155

86    90            7396 8100 7740

73     70             5329 4900 5110

32     62                 1024 3844 1984

84     93              7056 8649 7812

23     72             529  5184 1656

52    58            2704 3364 3016

72     73             5184 5329 5256

63     63             3969 3969 3969

30    66            900  4356 1980

72     78             5184 6084 5616

47     60            2209 3600 2820

88     95               7744 9025 8360

69    72                   4761 5184 4968

sumx=1335

sumy=1728

sumx²=86089

sumy²=127346

sumxy=99485

n=24

\(Sample correlation coefficient=r=\frac{24(99485)-(1335)(178)}{[24(86089)-(1335)^2][ 24(127346)-(1728)^2] }\)

Sample correlation coefficient=0.572

b)

Sample correlation coefficient=0.572 shows the moderate positive correlation between age and happiness. As the age increases happiness also moderately increases.

c)

The attached scatter plot shows that the as age increases happiness also moderately increases.

Answer:

for which question???????????????

Answer:

Ok please tell me your question because you forgotten the question your asking dor