taylor is moving and must rent a truck. there is an initial charge of $45 for the rental plus an additional fee per mile driven. of taylor were to drive 5 miles, the total cost would be $60 write an equation for c, in terms of m, representing the total cost of renting the truck if taylor were to drive m miles

Answer:

Yes MNO is similar to PQO

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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The combined strength of the donkey's pull is  4.58 N.

The combined strength of the donkey's pull is calculated by resolving the forces into x and y components.

The x component of the donkey's force is calculate das;

Fx = F cosθ

Fx₁ = 5 N x cos (50) = 3.21 N

Fx₂ = 4 N x cos (170) = -3.94 N

∑Fx = 3.21 N - 3.94 N = -0.73 N

The y component of the donkey's force is calculate das;

Fy = F cosθ

Fy₁ = 5 N x sin (50) = 3.83 N

Fy₂ = 4 N x sin (170) = 0.69 N

∑F = 3.83 N + 0.69 N = 4.52 N

The resultant force is calculated as follows;

F = √ (-0.73)² + (4.52²)

F = 4.58 N

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The complete question:

Two donkeys are tied to the same pole one donkey pulled the pole at a strength of 5 N in a direction that a 50 degree rotation from the east.

The other pulls the pole at a strength of 4 N in a direction that is 170 degrees from the east. What is the combined strength of the donkey's pull?

Answer:

7.5

Step-by-step explanation:

Khan Academy

Answer:

4

Step-by-step explanation:

8+(2x3)-6=8

8/2=4

Answer: Correct Answer Is:11

Step-by-step explanation: I Use Calculator To Help

The equation of the line that passes through the point (5,3) and has a slope of -4/5 is,

⇒ 4x + 5y = 35

Here,

The given point is (5, 3) and slope is -4/5.

We have to find the equation of the line that passes through the point (5,3) and has a slope of -4/5.

What is Equation of line?

The equation of the line that passes through the point (a, b) and has a slope of m is;

⇒y - a = m (x - b)

Now,

The given point is (5, 3) and slope is -4/5.

Hence, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is;

y - 3 = -4/5 (x - 5)

5 (y - 3) = -4 (x - 5)

5y - 15 = -4x + 20

4x + 5y = 20 + 15

4x + 5y = 35

Therefore, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is

⇒ 4x + 5y = 35.

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Answer:

2x + 12

Step-by-step explanation:

6x + 36 / 3 =

(6x)/3 + (36)/3 = 2x + 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

On that particular day, approximately 272.32 BTUs of heat were transferred through the wall.

To calculate the amount of heat transferred through the walls on a particular day, we can use the formula:

Q = U × A × deltaT

where Q is the heat transferred (in BTUs), U is the overall heat transfer coefficient (in BTU/hr·ft^2·°F), A is the area of the wall (in ft^2), and deltaT is the temperature difference between the inside and outside of the wall (in °F).

First, let's calculate the area of the wall. The room has four walls, but we are only interested in the heat transferred through the wall with an R-value of 15. We can calculate the area of this wall as follows:

Area = Length × Height = 13 ft × 9 ft = 117 ft^2

Next, we need to calculate the overall heat transfer coefficient, U. The U-value is the reciprocal of the R-value, so:

U = 1 / R = 1 / 15 = 0.0667 BTU/hr·ft^2·°F

Now we need to calculate the temperature difference between the inside and outside of the wall. We are given that the outside temperature is 36 °F, but we don't know the inside temperature. Let's assume that the inside temperature is 70 °F, which is a typical room temperature. Then the temperature difference is:

deltaT = 70 °F - 36 °F = 34 °F

Finally, we can plug these values into the formula:

Q = U × A × deltaT

Q = 0.0667 BTU/hr·ft^2·°F × 117 ft^2 × 34 °F

Q ≈ 272.32 BTUs

Therefore, on that particular day, approximately 272.32 BTUs of heat were transferred through the wall.

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Answer:

a broom handle - line segment

the letter T - perpendicular lines

a sun ray - ray

a cookie crumb - point

the horizon - line

row of seats of airplane -  parallel lines

Step-by-step explanation:

a broom handle is straight and has a beginning and end, same goes for a line segment

the letter T has two lines that intersect with one another, these lines are perpendicular

a sun ray is well, a ray

a cookie crumb is small and round, similar to a point

lines do not have a beginning or end, like the horizon line

and the row of seats on an airplane all line up together like lines that are parallel.

Hope this helps :)

Answer:15

Step-by-step explanation: 1st multiple what’s in the parenthesis (3*3= 9 & 4*4= 16

Next write it out 22+(9-16)

Then you subtract 9 from 16 since it’s in parenthesis So it’s 22+(-7) and since you are adding a negative and a positive together you will have to subtract and keep the sign of the larger number so the answer is 15 since u needed to subtract but 22 is the larger number making it positive answer

Answer:

it's almost $100 and there's $17 off. so 99.99-17  would make the exact cost 82.99

82.99/99.99= 0.8299 so you payed 83% and that would make it so you got a 17% discount.

but if you didn't want to do all the math, you could've just rounded the 99.99 up to 100, and $17 would make it a 17% discount.

The value of the function W(x) for x=6 is 17,799,730.56 cubic inches.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, the function V(x)=4/3 πx³ represents the volume (in cubic inches) of the sphere.

The function W(x) = V(27x) represents the volume (in cubic inches) of the sphere when x is measured in feet.

W(x) = 4/3 π(27x)³

W(x) = 4/3 π(27x)³

= 4/3 π×19683×x³

= 4π×6561×x³

W(x)= 26244πx³

W(6)= 26244×3.14×(6)³

= 17,799,730.56 cubic inches

Therefore, the value of the function W(x) for x=6 is 17,799,730.56 cubic inches.

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Based on the information provided, the suggested interval (0 < x < 2) could potentially be an interval during which the water balloon's height is increasing.

In general, if the height of the water balloon is increasing, it means that as time progresses, the height of the balloon is getting larger. This corresponds to a positive rate of change of the height with respect to time.

If we have a function that describes the height of the water balloon over time, we can calculate the derivative of that function with respect to time. If the derivative is positive within the interval (0 < x < 2), it means that the height is increasing during that interval.

However, without the specific function or more information, it is not possible to determine with certainty whether the water balloon's height is increasing within the given interval.

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Answer:

Startup Capital

Step-by-step explanation:

The startup capital is the money raised by a new company in order to meet its initial costs. Entrepreneurs would need to form a solid business plan or create a prototype in an attempt to sell their concept, which would help them gain startup capital.

Answer:

(3,3)

Step-by-step explanation:

Answer:

um

Step-by-step explanation:

567

Answer:The total length of ribbon = 4½ m = 4.5 m. = 4.5 m x (100 cm/1 m). = 450 cm. The number of pieces of ribbon, each 4.5 cm long, that can be cut from a length

Step-by-step explanation:

Answer:

3.333

the three continuous

Answer:

6/2

2/6

6/6

2/2

Step-by-step explanation:

The percent yield is calculated as the ratio of the actual yield to the theoretical yield, multiplied by 100.

Percent yield is a measure of how efficient a chemical reaction or process is in producing the desired product.

The formula for percent yield is:

Percent Yield = (Actual Yield / Theoretical Yield) * 100

The actual yield is the amount of product obtained from the reaction or process, typically measured in grams or moles. It represents the actual amount of product obtained in the laboratory.

The theoretical yield, on the other hand, is the maximum amount of product that can be obtained based on stoichiometry and other factors. It is calculated using balanced chemical equations and the starting amounts of reactants.

By dividing the actual yield by the theoretical yield and multiplying by 100, we get the percent yield, which is expressed as a percentage.

This value provides insight into the efficiency of the reaction or process, with a higher percent yield indicating a more efficient conversion of reactants into products.

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Answer:

0.04

Step-by-step explanation:

The rate of flow is 0.043 gallons per minute.

Divide by 0.264 to obtain litres from gallons and multiply by 0.264 to obtain in gallons from litres.

According to the given question

Water flows through a pipe at a rate of 7 cubic meters per month.

We know 1 cubic meter is = 1000 litre

∴ 7 cubic meters per is

= (7 × 1000) litre

= 7000 litre

= (7000 × 0.264) gallons

= 1848 gallons per month

Now 1 month is

= ( 1 × 30 × 24 × 60 ) minutes.

=43200 minutes

So in 43200 minutes 1848 gallons of water flows through that pipe

∴ In a unit minute or per minute it the rate of flow will be

= 1848/43200 gallons per minute

= 0.043 gallons per minute.

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The probability of picking blue ball by Liz and Mike are equal =1/3

Probability is a branch of mathematics that deals with the study of random events or experiments. It is concerned with quantifying the likelihood or chance of a particular event occurring, given certain assumptions or conditions.

The probability of an event is typically represented as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain. For example, if you flip a fair coin, the probability of getting heads is 0.5, and the probability of getting tails is also 0.5.

There are different methods for calculating probabilities, depending on the nature of the event or experiment being considered. Some of the most commonly used methods include the classical probability method, the empirical probability method, and the subjective probability method.

Probability has many applications in various fields, including statistics, finance, engineering, and science. It is used to model and analyze complex systems and to make predictions and decisions based on uncertain information.

Given : X contains 9 blue balls and 18 red balls.

Y contains 7 blue balls and 14 red balls.

Probability of picking blue ball is 9/9+18

=9/27=1/3

Now Mike pick ball from bag Y one ball not affect these pick ball

so, 7/7+14=7/21=1/3

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Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

The area of a circle is given by:

Therefore, the area of a semicircle is:

Step-by-step explanation:

B. Find the area of the base so as to calculate the volume of the prism

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - (-3)~~)^2 + (~~0 - (-6)~~)^2} \implies d=\sqrt{(5 +3)^2 + (0 +6)^2} \\\\\\ d=\sqrt{( 8 )^2 + ( 6 )^2} \implies d=\sqrt{ 64 + 36 } \implies d=\sqrt{ 100 }\implies d=10\)

-8/13 x 26/-3 = -208/-39 = 16/3.

16/3, D

Answer:

D. (16/3)

Step-by-step explanation:

 -8          26

-------  ×  -------  

  13          -3

Multiply the top and the bottom together.

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

-8 x 26 = -208

13 x -3 = -39

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

 -8          26        -208

-------  ×  -------  =  --------

  13          -3          -39

Simply the fraction

 -208   ÷  13           -16

------------           =  ----------

   -39  ÷   13             -3

Cancel out the negatives

-16          16

-------  =  -------

 -3            3

I hope this helps!

The time that it will take for them to complete the work is given as follows:

2 and 17/20 days.

To obtain the remaining time, we use the together rate, which is the sum of each of the separate rates.

The rates for this problem are given as follows:

Hence the together rate is obtained as follows:

1/x = 1/8 + 1/12

1/x = 5/24

5x = 24

x = 3.8 days.

Ann worked two days, meaning that only 6/8 = 75% of the document has to be completed, hence the time is of:

0.75 x 3.8 = 2.85 days = 2 and 17/20 days.

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Answer:

around 37%

Step-by-step explanation:

120 × (1 - 37%) = 120 × (1 - 0.37) = 75.6

if im being honest i used calculator . net's percentage calculator

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64