Eddie compared prices of two auto-rental agencies for the use of a mid-size auto for one week. Right Price Auto charged a flat fee of $386 plus 20¢ per mile driven. EconoCar charged a flat fee of $344 plus 35¢ per mile driven. Which equation should he use to determine the distance in miles, m, that would make the total charges of both auto-rental agencies equal?

Answer:

0.4 x 10^-1

Step-by-step explanation:

4 x 10^0

=> 4

=> 0.4 x 10^-1

Answer:

x=2

Step-by-step explanation:

hope this helps! :D

to everyone reading this: have a miraculous day!! <3

Answer:

x=2

Step-by-step explanation:

..............

✌️❤️✌️

On solving the provided question, we cans ay that by standard deviation, \(SE = 0.1590 (approx.)\)

Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed. Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed.

By sample standard deviation, we mean standard error. Hence, we have that:

Therefore, Standard deviation\(= 0.6929891\)

The sample size \((n) = 19.\)

Hence:

\(SE = 0.1589826.\\ SE = 0.1590 (approx.)\)

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The inequality solution for the given 8m - 2(14 - m) > 7(m - 4) + 3m is :  f. [0,+oo). Hence, the correct option is (f). [0,+oo).

In mathematics, inequality is defined as a relation between two values that are not equal and are represented using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

The inequality to be solved is 8m - 2(14 - m) > 7(m - 4) + 3m.

Let's solve this inequality:

8m - 28 + 2m > 7m - 28 + 3m

=> 10m - 28 > 10m - 28

We can see from this inequality that both the right side and the left side of the inequality are equal.

Therefore, this inequality is true for all real values of m. Hence, its solution is [−∞, ∞).

So, the correct answer is f. [0,+oo).

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Answer:

Prt A- Yes

Part B- 5:1

Step-by-step explanation:

The ratios in cases 1 and 2 form a proportion. This can be seen by dividing case a by 5 which gives 4:3;

i.e 20:15 = 20

                15

If you divide both numerator and denominator by 5, we have 4/3.

This shows that case 1 and 2 have the same proportions of friends to strangers.

Part B.

The number of friends in case 1 is 20 while in case 2 is 4.

we have, 20:4

= 20

   4

Dividing each by 4, we have 5:1.

This means that the ratio of friends that in case 1 to case 2 is 5:1.

cheers

Answer:

There are an infinite number of solutions.

Step-by-step explanation:

An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:

Let y= 3 ( y can be any number)

(3) + 1 = -4x

4 = -4x

x = -4/4

x= -1

(x;y) = (-1;3)

Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

To convert 2,250 square feet to square centimeters, we can use the conversion factor of 1 square foot = 929.0304 square centimeters⁵. Therefore,

2,250 sq ft = 2,250 x 929.0304 sq cm/ sq ft = 2,090,318.4 sq cm.

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

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Answer:

third and fourth one.

Not sure tho

Answer:

0.0096

Step-by-step explanation:

hope this help you out

The Mean Absolute Deviation of Set 1 exists 13 more than the mean absolute deviation of Set 2.

Set 1: 12, 8, 10, 50

Set 2: 13, 9,8

To determine the mean for each set

Mean = totality of elements/number of elements

Mean of Set 1:

\($=\frac{12+8+10+50}{4}\)

\($=\frac{80}{4}=20$\)

Mean of Set 2:

\($=\frac{13+9+8}{3}\)

\($=\frac{30}{3}=10$\)

To determine the mean absolute deviation (MAD) of the data in each set.

M.A.D of Set 1:

\($=\frac{|12-20|+|8-20|+|10-20|+|50-20|}{4}\)

\($=\frac{8+12+10+30}{4}=\frac{60}{4}=15$$\)

M.A.D of Set 2:

\($=\frac{|13-10|+|9-10|+|8-10|}{3}\)

\($=\frac{3+1+2}{3}=\frac{6}{3}=2$\)

The Mean Absolute Deviation of Set 1 exists 13 more than the mean absolute deviation of Set 2.

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Answer:

i actually dont know i am so sorry

Answer:

C. Number greater than 19

Step-by-step explanation:

Answer:

7061.5 \(ft{3}\)

Step-by-step explanation:

volume=1/3πr\(r{2}\)h

r=27/2 ft

1/3*22/7*27/2*27/2*37

= 7061.5 ft

Answer:

9,508.8 dollars spent

Step-by-step explanation:

subtraction.

Answer:

$9,508.8

Step-by-step explanation:

10,000-491.2=ans

Answer:5$

Step-by-step explanation:

Answer: \(\frac{1}{3}\)

Step-by-step explanation:

The formula to find slope is \(m=\frac{y_2-y_1}{x_2-x_1}\). We have to plug our 2 points into the values.

\(m=\frac{7-8}{4-7} =\frac{-1}{-3} =\frac{1}{3}\)

So our slope is \(\frac{1}{3}\)

Answer:

Number 1 4,100$

Number 2 D. The market value of new factories built this year.

Step-by-step explanation:

The report based on the given question requirements is:

Mathematician: Évariste Galois

(1) Life History:

Évariste Galois was born in Bourg-la-Reine, France on October 25, 1811. Unfortunately, he passed away at the tender age of 20 on May 31, 1832. Amidst the political unrest in France, he engaged in political activism. Despite his premature death, Galois made a lasting impact on the field of mathematics. His non-conformist attitude and intelligence frequently led to conflicts with those in positions of power, earning him a reputation as a rebel. A fascinating piece of information is that Galois dedicated his night prior to his ultimate combat to jotting down his mathematical concepts, eventually emerging as notable enhancements to Algebra.

(2) Mathematical Discoveries:

Galois made remarkable contributions to the field of Algebra. He developed the theory of Galois groups, which revolutionized the study of polynomial equations and their solvability. Galois showed that the solvability of an algebraic equation by radicals is determined by the properties of its Galois group. This insight led to Galois theory, a cornerstone of modern Algebra. Additionally, he developed the concept of field theory, introducing the notion of field extensions, which provided a powerful framework for studying algebraic structures.

(3) Bibliography:

Artin, E. (1998). Galois Theory: Lectures Delivered at the University of Notre Dame. Springer.

Stillwell, J. (2005). Mathematics and Its History (2nd ed.). Springer.

Edwards, H. M. (1983). Galois Theory. Springer-Verlag.

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Answer:

x<-6

Step-by-step explanation:

-3x>18

Divide by -3, flip the sign since dividing by a negative.

x<-6

Answer:

x < -6

Step-by-step explanation:

The component form of the sum of u and v with direction angles is u + v = (10√2 - 50)i + 10√2 j.

We are given the magnitudes and direction angles of vectors u and v. We need to find the component form of their sum.

Let's first convert the given magnitudes and direction angles to their corresponding components. For vector u:

|u| = 20, θu = 45°

The x-component of u is given by:

ux = |u| cos(θu) = 20 cos(45°) = 10√2

The y-component of u is given by:

uy = |u| sin(θu) = 20 sin(45°) = 10√2

Therefore, the component form of vector u is:

u = 10√2 i + 10√2 j

Similarly, for vector v:

|v| = 50, θv = 180°

The x-component of v is given by:

vx = |v| cos(θv) = -50 cos(180°) = -50

The y-component of v is given by:

vy = |v| sin(θv) = 50 sin(180°) = 0

Therefore, the component form of vector v is:

v = -50 i + 0 j

The component form of the sum of u and v is given by the sum of their x- and y-components:

u + v = (10√2 - 50) i + (10√2 + 0) j

Simplifying, we get:

u + v = (10√2 - 50) i + 10√2 j

Therefore, the component form of the sum of u and v is:

u + v = (10√2 - 50) i + 10√2 j

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The question is -

Find the component form of the sum of u and v with the given magnitudes and direction angles θu and θv.

| | u | | = 20 , θu = 45° | | v | | = 50 , θv = 180°.

Answer:

16 (: That is what i think...

Step-by-step explanation:

Let's write the line in slope-intercept form.

y = mx + b

m = slope

b = y-intercept.

Let's use the two points to calculate our slope.

Slope = (-9 -(-1)) / -3 = -8 / -3 = 8 / 3

Our line so far: y = 8/3x + b

Let's plug one of our points into the equation to find b.

-1 = 8/3(0) + b

-1 = b

Our line is: y = 8/3x - 1

Answer:

Surface Area = 560.41 cm2

Volume (if it's a sphere) = 9979.71 cm3 or around 10 liters

Step-by-step explanation:

1. The circunference formula is C = 2 * π * R

2. If C = 83.92cm, R is 13.356 cm --> R = C / (2π)

3. The surface area formula is A = π * R * R

4. For R = 13.356 cm, A = 560.41 cm2

5. Sphere volume is V = (4/3) * π * R * R

6. For R = 13.356 cm, V = 9,979.71 cm3

7. 1,000 cm3 = 1 liter, so V is aprox. 10 Liters

The exact values of the trigonometric ratio sinθ, cosθ, tanθ, cscθ, secθ and cotθ are 4/5, 3/5, 4/3, 5/4, 5/3 and 3/4 respectively.

The figure in the image is right triangle.

To find the trigonometric values, we use the trigonometric ratio.

Sine = Opposite / Hypotenuse

sinθ = 4/5

Cosine = Adjacent / Hypotenuse

cosθ = 3/5

Tangent = Opposite / Adjacent

tanθ = 4/3

Cosec = 1/sin

cscθ = 1/sinθ

cscθ = 1/(4/5)

cscθ = 5/4

sec = 1/cos

secθ = 1/cosθ

secθ = 1/(3/5)

secθ = 5/3

cot = 1/tan

cotθ = 1/tanθ

cotθ = 1/(4/3)

cotθ = 3/4

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Answer: The top right one

Step-by-step explanation: A function means that each input has exactly ONE output, so no x coordinate can have more than one y. The top right is the only one that fits that description. You can check to see if a point is exactly above a given point.

As per the given fee details, the monthly maintenance fee is $3.25

Here we have given that Alyssa’s bank charges $0. 25 for each check written, $0. 15 per ATM transaction, and a monthly fee to maintain a checking account.

While we looking into the given table we have identified that

Number of ATM transaction = 23

Then the fee for ATM transaction is calculated as,

=> Fee of ATM transaction = 23 x 0.15 = $3.45

Then the number of check written is 17.

And the fee for the check written is calculated as,

=> Fee for Check written = 17 x 0.25 = $4.25

Here we know that the Total checking account fees $10. 95 and let us consider that x be the amount for maintenance fee, then it can be written as,

=> $3.45 + $4.25 + $x = $10.95

=> $7.7 + $x = $10.95

=> x = 10.95 - 7.7

=> x = $3.25

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A 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung contains 833.33 mg of Vaseline. This can be found by dividing the weight of the mixture by the sum of the ratio parts.

A 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung (ointment) means that there are 5 parts of Vaseline for every 1 part of hydrocortisone.

To find how many mg of Vaseline is in the mixture, we need to know the total weight of the mixture. Let's assume that the weight of the mixture is 1 gram (1000 mg) for simplicity.

Since the mixture is 5:1 Vaseline to hydrocortisone, we can divide the total weight of the mixture by the sum of the ratio parts (5+1=6) to get the weight of 1 part of the mixture:

Weight of 1 part of the mixture = 1000mg / 6 = 166.67 mg

Therefore, the weight of 5 parts of the mixture (which is the amount of Vaseline in the mixture) is:

5 x 166.67 mg = 833.33 mg

So, a 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung contains 833.33 mg of Vaseline.

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