What is the slope of the line on the graph?




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Answer: 14 feet

Step-by-step explanation:

Answer:

14 feet

Step-by-step explanation:

Answer:

I think it's 27

because length is 3 times its width

Answer:

\(\frac{25}{16}\)

Step-by-step explanation:

\((-\frac{5}{4})^2\\\\ \text {Apply power of a fraction rule: } (\frac{a}{b})^x=\frac{a^x}{b^x}\\\\(-\frac{5}{4})^2 = \frac{-5^2}{4^2}=\frac{25}{16}\\\\\boxed{(-\frac{5}{4})^2=\frac{25}{16}}\)

Answer: 39/2 or 19 1/2

Step-by-step explanation:

Convert a mixed number 2 1/6 to a improper fraction:

2 1/6 = 2 1/6 = 2 · 6 + 1/6 = 12 + 1/6 = 13/6

To find a new numerator:

1. Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6

2. Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13

3. Write a previous answer (new numerator 13) over the denominator 6.

Two and one sixth is thirteen sixths

Multiply: 9 * 13/6 = 9 · 13/1 · 6 = 117/6 = 39 · 3/2 · 3 = 39/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(117, 6) = 3. In the following intermediate step, cancel by a common factor of 3 gives 39/2.

In other words - nine multiplied by thirteen sixths is thirty-nine halves.

Answer:

7/3

Step-by-step explanation:

It would be 7/4 divided by 3/4 which would just be 7/4 multiplied by 4/3. This is 28/12. Simplify:7/3

Answer:

14.16 miles further.

Step-by-step explanation:

Campbell to Summerfield

9.52mi + 4.62 mi + 10.08 mi = 24.24 mi

Princeton to summerfield

is 10.08 mi

Therefore difference is 24.24mi - 10.08mi = 14.16 mi

Hope this helps.

Answer:

An = 5n-18

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = 2-(-3)=-3-(-8) =5      A1 =  -13

the n th term of an arithmetic sequence is :An =-13+(n-1)(5)

An = 5n -5 -13

An = 5n-18

a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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a) The system has infinitely many solutions, which are:

(1 - y, y, -3).

b) The system has no solution.

To obtain the number of solutions of each system, the equations are build from the augmented matrix presented.

For item a, the system is given as follows:

Both the left side of the matrix (3 x 3) and the right side (3 x 1), have the same rank, that is, the same number of non-zero rows, hence the system has infinitely many solutions, which are:

For item b, the system is given as follows:

The last statement is false, hence the system has no solutions. It can also be seem by the different ranks of each matrix, with the 3 x 3 matrix having a rank of 2 and the 3 x 1 matrix having a rank of 3.

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Answer: the volume would be 384 but if you want it separately it would 8*4= 32

8*12=96

4*12=48

but the total cost would be 176 after you add up the equations

and the surface area would be 352

hope this helped :D

Answer: It is 384 is for volume and  352 for surface area

Step-by-step explanation: 384 square inches for volume because you multiply all the numbers together.  V = LWH (volume=lengh+with+hight)

352 for surface area.

V = (8) x (4) x (12)

V = 384 inches squared

SA = 2(LH)+2(LW)+2(WH)

SA = 2(8x12) + 2(8x4) + 2(4x12)

SA = 192 + 64 + 96

SA = 348 inches squared

I hope this helps! =3

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

Step-by-step explanation:

60 people

3:2ratio

so that means the ratio of people to those who haven't seen the movie is 5:2

then make a proportion:

60/x=5/2

60*2=5x

120=5x

x=24

check:

24/2=12

3*12=36

36+24=60

correct.

Step-by-step explanation:

This is the answer to the question you have given. Understand this and write it in your notebook.

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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Answer:

10

Step-by-step explanation:

find the length of each leg, being 6 and 8. Then use the pythagorean theorem a^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

100=c^2

c=10

hope this helped... if it did, please let me know by marking me the brainliest:))

Answer:

y = x - 3

Step-by-step explanation:

ok so r has the cornets of (4,1) and (6,3)

x - 3 = y

4 - 3 = 1

6 - 3 = 3

Answer:

The second table is ccorrect.

Step-by-step explanation:

When you look at the second table it makes logical sense on both sides it goes from 3 to 6 to 12 to 24. On the other side of the table it goes 2 to 4 to 8 to 24. So when you look at tables you can look for something that both sides have in common that will make that table work and not the other ones.

Answer:

Equation: y = 0.25x + 7.50

Cost: $10.50

Step-by-step explanation:

Let x be the number of miles and y be the total cost in $.

y = 0.25x + 7.50

If we want to find the total cost of a 12 mi trip, we plug in x=12.

y = 0.25 * 12 + 7.50

y = 3 + 7.50

y=10.50

Answer:

(-5,1)

Step-by-step explanation:

Coordinates of midpoint

= ((-7-3)/2, (-5+7)/2)

= (-10/2 , 2/2)

= (-5, 1)

Let a(t) and b(t) denote the amounts of salt in tanks A and B, respectively.

The volume of liquid in tanks A and B after t minutes are

A: 50 L + (5 L/min + 3 L/min - 8 L/min)t = 50 L

B: 40 L + (7 L/min + 8 L/min - 3 L/min - 12 L/min)t = 40 L

so the amount of solution in the tanks stays constant.

Salt flows into tank A at a rate of

(2 g/L)*(5 L/min) + (b(t)/40 g/L)*(3 L/min) = (10 + 3/40 b(t)) g/min

and out at a rate of

(a(t)/50 g/L)*(8 L/min) = 4/25 a(t) g/min

so the net flow rate is given by the differential equation

\(\dfrac{\mathrm da(t)}{\mathrm dt}=10+\dfrac{3b(t)}{40}-\dfrac{4a(t)}{25}\)

We do the same for tank B: salt flows in at a rate of

(3 g/L)*(7 L/min) + (a(t)/50 g/L)*(8 L/min) = (21 + 4/25 a(t)) g/min

and out at a rate of

(b(t)/40 g/L)*(3 L/min + 12 L/min) = 3/8 b(t) g/min

and hence with a net rate of

\(\dfrac{\mathrm db(t)}{\mathrm dt}=21+\dfrac{4a(t)}{25}-\dfrac{3b(t)}8\)

Replace a(t) and b(t) with x and y. Then the system is (in matrix form)

\(\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\end{bmatrix}=\dfrac1{200}\begin{bmatrix}-32&15\\32&-75\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}+\begin{bmatrix}10\\21\end{bmatrix}\)

with initial conditions x(0) = 60 g and y(0) = 80 g.

Answer:

please is it a cube or a cuboid please check this out.

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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There was 4 dollar of discount on the total amount.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

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The value of x in the right angle placed is equal to 16

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life. It can be seen in the corners of a room, the edges of boxes, the screen of a mobile phone, and so on. The sides of a square and a rectangle always form a right angle with each other. In radians, it is represented as π/2. Let us discuss more about a right angle in this article.

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

In the given question, we can set an equation and find the value of x

90 = 26 + 4x

Lets solve for x

4x = 90 -26

4x = 64

x = 16

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The answers to each part are given below.

Given is that Roberto's telephone company charges him a monthly fee of 100 pesos and 5 pesos for each minute of calls.

{ 1 } -

We can write the function as -

M{t} = 100 + 5t

{ 2 } -

For {t} = 50 minutes -

M{50} = 100 + 5 x 50

M{50} = 350                                          .....{ 1 }

For {t} = 150 minutes -

M{150} = 100 + 5 x 150

M{150} = 850                                                    .... { 2 }

{ 3 } -

200 = 100 + 5t

5t = 100

t = 20                                                    .... { 3 }

Therefore, the answers to each part are given above.

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{Question in english -

Roberto's telephone company charges him a monthly fee of 100 pesos and 5 pesos for each minute of calls. Calculate the function that provides the cost of Roberto's monthly bill based on the number of call minutes.

a) What would be the cost of a month in which you have made 50 minutes of calls? And if it's 150 minutes?

b) If the bill for the month of June was 200 pesos, how many call minutes

did Roberto?

Answer:

Step-by-step explanation:

∠2 = 2x + 108°

Each of the other two angles in the triangle is

(180° - (2x+108°))/2 = 36° - x

36° - x = 47°

x = -11°

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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