Determine the slope of a line that passes through the points M(-3,5) and N(1,8)

represent the slope in decimal form.


PLEASE HELP ME ASAP

In the equation V(t) = 40(1 - 0.15), 40 represents the initial volume of the tank when it is completely filled with water. Thus, the answer is, "40 represents the initial volume of the tank when it is completely filled with water."

Question: A 40-gallon tank has a small leak at the bottom. The volume remaining in a full 40 gallon tank of water after t minutes can be modeled by the following equation V(t)=40(1-15). where V(t) represents the volume remaining, in gallons, in the tank after t minutes.

a) What does 40 represent in the equation?

b) What does 1-0.15 represent in the equation?

c) How much water is left in the tank after 60 minutes?

Solution:

a) In the equation V(t) = 40(1 - 0.15), 40 represents the initial volume of the tank when it is completely filled with water. Thus, the answer is, "40 represents the initial volume of the tank when it is completely filled with water."

b) In the equation V(t) = 40(1 - 0.15), 1 - 0.15 represents the fraction of the initial volume of water left in the tank after t minutes. Here, 0.15 is the rate of leakage of the tank, which means that for every minute, 15% of the water will leak out. So, 1 - 0.15 will give the remaining fraction of water in the tank. Thus, the answer is, "1 - 0.15 represents the fraction of the initial volume of water left in the tank after t minutes."

c) To find out the volume of water left in the tank after 60 minutes, we need to substitute t = 60 in the equation V(t) = 40(1 - 0.15).V(60) = 40(1 - 0.15×60) = 40(1 - 9) = 40×(-8) = -320. Since the volume of water left cannot be negative, the answer is, "No water will be left in the tank after 60 minutes."Note: As the volume of water left can not be negative, the tank is empty after 8.8 minutes.

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Answer:

36.7

Step-by-step explanation:

Answer:

1890 in³

Step-by-step explanation:

The formula to find the volume of a triangular prism: 1/2 x b x h x l, where b is the base, h is the height and l is the length.

1) Substitute the given values in the image into the formula above.

= 1/2 x 18 x 7 x 30

= 1/2 x 126 x 30

= 1/2 x 3780

= 1890

A confidence interval cannot instantly lead to rejecting the null hypothesis in a hypothesis test. In the given case the null hypothesis is either rejected or rejected based on test statistics.

α = 0.05

μ = 2

If the confidence interval is 1.0 or 2.0, then the null hypothesis value of 2 drops exceeds the interval, this makes the data contradict the null hypothesis and may reject the null hypothesis.

This alone would not be good to decline the null theory - the conclusion to reject or not reject the null hypothesis is determined by the test statistic and the alternate p-value.

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Answer:

294 yards squared

Step-by-step explanation:

7*7*6= 294

Answer:

294

Step-by-step explanation:

\(SA = s^2 * 6 = 7^2 * 6 = 49 * 6 = 294\)

The tape diagram that could be used to represent the context is A.

It should be noted that a tape diagram is simply used to show number relationships. It so used to illustrate ratios, addition, etc.

In this case, the baseball team raised $1187.25 to go to a tournament and they rented a bus for $783.50 and budgeted $21.25 per player for meals.

Let x represents the number of players the team can bring to the tournament.

This will be illustrated as 783.50 + 21.25x = 1187.25. The tape diagram that illustrates this is A.

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Answer:

y=0.25x-1

Step-by-step explanation:

y=mx+b

slope = 0.25

y = 0.25x+b

the y intercept = -1

y = 0.25x+-1

y = 0.25x-1

The percentage change in the birth rate of a nation from 1990 to 2000 is -35%.

Percentage change is the relative difference between two values expressed as a percentage of one of the values, where the value of the latter is used as the reference point.

It can be calculated by using the following formula:

Percentage change = ((new value - old value) / old value) x 100

Given the birth rate of a nation in 1990 as 20 and the birth rate in 2000 as 13, the percentage change can be calculated as follows: Percentage change = ((13 - 20) / 20) x 100= (-7 / 20) x 100= -0.35 x 100= -35%

Hence, the percentage change is -35%.

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Answer:

G

Step-by-step explanation:

Because it is an equation

The mean height of the team  rounded  to 1 decimal place is 200.0.

The height of this new player is 206.

What is mean Average?

The mean average, of a data set is the sum of all  the numbers divided by the total number of values.

Formular for calculating mean Average:

Mean Average = {Sum of all the values} ÷ {Total numbers of values}

From the question the height of the  players are as follows:

(height) 198,199,200,201,202)

a) Mean Average =(198 +199 +200 +201 +202)

                                             5

                          =1000

                                5

                           =200.0

b) The new player joins the  team to make the Mean Average 201. hence the height of the new player will be calculated using:

Mean Average = {Sum of all the values} ÷ {Total numbers of values}

201 =(198 +199 +200 +201 +202 + x )

                                             6

201  = 1000+ x

               6

crossmultiply to solve for X:

201 *6 =1000+ x

1,206 = 1000+ x

making x subject of the formular we have:

x = 1,206 - 1000

x = 206

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The dimensions of the lower base of the frustum are 12m by 12m.

To find the dimensions of the lower base of the frustum, we can use the formula for the volume of a frustum of a pyramid:

V = (1/3) * h * (A + sqrt(A * B) + B),

where V is the volume, h is the altitude, A is the area of the upper base, and B is the area of the lower base.

Given information:

h = 5m (altitude)

A = 3m * 4m = 12m² (area of the upper base)

V = 140 cu. m (volume)

Plugging in the values into the formula:

140 = (1/3) * 5 * (12 + sqrt(12 * B) + B).

Simplifying the equation:

420 = 5 * (12 + sqrt(12 * B) + B)

84 = 12 + sqrt(12 * B) + B

Rearranging the equation:

sqrt(12 * B) + B = 84 - 12

sqrt(12 * B) + B = 72

To solve for B, we can substitute B = X² to get rid of the square root:

sqrt(12 * X²) + X² = 72

sqrt(12) * X + X² = 72

2sqrt(3) * X + X² = 72

Now we can factor the quadratic equation:

(X + 6)(X - 12) = 0

Setting each factor equal to zero gives us two possible solutions:

X + 6 = 0 or X - 12 = 0

From the first equation, we get:

X = -6

From the second equation, we get:

X = 12

Since the dimensions of the base cannot be negative, we disregard the solution X = -6.

Therefore, the dimensions of the lower base of the frustum are 12m by 12m.

None of the given options (A, B, C, D) match the correct dimensions of the lower base.

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The number of stenciled wooden boxes needed so as to maximize profit is 6 small boxes and 6 large boxes.

Let x represent small boxes  and y represent large boxes.

Since you have no more than 30 hours available to stencil, hence:

2x + 3y ≤ 30

Also, at least 12 boxes are required to sell, hence:

x + y ≥ 12

The solution to this problem gives:

x = 6, y = 6

Hence 6 small boxes and 6 large boxes are needed.

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Answer:

Step-by-step explanation:

you will multiply the amount of small boxes which will be 12 x 8 = 96

Then the amount of small boxes which will be 17 x 3 = 51

You add them two tg 96+51 = 147

Answer:

x=-3.7

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

z = 9, so we plug in 9 for z.

9 * 3 = 27

Using sigma notation, the given series is Σ (-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2) {for n = 1, 2, 3, ...}.

The series is:

1/3 - 2/4 + 3/5 - 4/6 + 5/7 - 6/8

We are to write this series using sigma notation and show all work.

The first numerator is 1, the second numerator is 2 (negative), the third numerator is 3, and so on. We can see a pattern where the numerator follows the index variable.

Since the signs alternate between addition and subtraction, we can introduce (-1)⁽ⁿ ⁺ ¹⁾ to ensure the correct sign for each term. Putting everything together, we can write the given expression using sigma notation:

Observe that each term is in the form of:

(-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2) {for n = 1, 2, 3, ...}

So, we can write each term as (-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2) and then we can add up the terms using sigma notation.

Let's do it one step at a time.

Term 1: n = 1(-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2)

               = (-1)⁽¹ ⁺ ¹⁾ × 1/(1+2)

               = (1/3)

Term 2: n = 2(-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2)

                = (-1)⁽ⁿ ⁺ ¹⁾ × 2/(2+2)

                = (-2/4)

                = (-1/2)

Term 3: n = 3(-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2)

                = (-1)⁽³ ⁺ ¹⁾ × 3/(3+2)

                = (3/5)

Term 4: n = 4(-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2)

                = (-1)⁽⁴ ⁺ ¹⁾ × 4/(4+2)

                = (-4/6)

                = (-2/3)

Term 5: n = 5(-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2)

                = (-1)⁽⁵ ⁺ ¹⁾ × 5/(5+2)

                = (5/7)

Term 6: n = 6(-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2)

                = (-1)⁽⁶ ⁺ ¹⁾ × 6/(6+2)

                = (-6/8)

                = (-3/4)

Now, we can write the series using sigma notation as follows:

Σ (-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2) {for n = 1, 2, 3, ...}

Therefore, using sigma notation, the given series is:

Σ (-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2) {for n = 1, 2, 3, ...} and each term is in the form of (-1)⁽ⁿ ⁺ ¹⁾ × n/(n+2).

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Answer:

Total length of the road = 6 3/4 miles.

Each markers are spaced at a distance = 1/8 of a mile.

Step-by-step explanation:

Total length of the road ÷ each marker space =

a) 6 3/4 ÷ 1/8.

b) In order to solve it, we need to convert that fraction into improper fraction:

6 3/4 = 27/4

6 3/4 ÷ 1/8 = 27/4 ÷ 1/8

We need to convert division sign into multiplication sign and flip the second fraction.

27/4 × 8/1

then simplify to get

27  × 2 = 54.

There would be total number of 54 markers of lengths (1/8) of a mile.

Given:

∠HFI = 70 degrees

∠IFJ = 63 degrees

To find:

We need to find ∠GFH

Step-by-step solution:

We know that:

"Vert

Answer: y=2x+1;y=1/2x-2

hoped this helped!

Answer:

8 . n= 18

7. = 17 , 19

Step-by-step explanation:  

n = 18 and the numbers are 36 = 2 x 18, 38 = 2 x 19, and 40 = 2 x 20 that are three consecutive even integers that sum to 114

Step-by-step explanation:

it would have a slope of 3 and it would cross the y axis on -1

Answer:

It has no solution because the two lines would never meet since they have the same slope of -3

Answer:

No solution because the lines are parallel

The person would save $404 by choosing the HMO for physical therapy sessions.

Total cost refers to the overall expense incurred by a business or an individual to produce or acquire a product or service.

Let's first calculate the total cost of physical therapy sessions without insurance:

Total cost = 12 sessions * $145 per session = $1740

With the insurance policy, the person has to pay a deductible of $580 first. After that, the insurance will cover 80% of the remaining cost. So, the person pays:

($1740 - $580) * 0.2 = $232

Therefore, with the insurance policy, the person pays $580 + $232 = $812 for 12 physical therapy sessions.

If the person opts for the HMO instead, the cost would be $34 per session, so:

Total cost = 12 sessions * $34 per session = $408

Therefore, the person would save:

$812 (with insurance) - $408 (with HMO) = $404

So, the person would save $404 by choosing the HMO for physical therapy sessions.

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The race is 40 miles long, since there are two repair and two water stations evenly spaced between the start and finish lines, and the third water station is located 8 miles after the first repair station.

The race is 40 miles long because the start and finish lines are 20 miles apart, and there are evenly spaced water and repair stations between them. The figure indicates that the first repair station is located at the start line, and the second repair station is 20 miles after the start line. The first water station is located 8 miles after the first repair station, and the second water station is located 16 miles after the second repair station. Therefore, the third water station is located 8 miles after the first repair station. Since there are two repair and two water stations evenly spaced between the start and finish lines, the race is 40 miles long.

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Answer:

(2,4)

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

The answer is where the two lines cross

x=2

y=4

The percentage of illicit drug users in the US are African American is a. 14%

According to data from the National Survey on Drug Use and Health, in 2019, 14.5% of African Americans reported using illicit drugs in the past month, compared to 12.4% of the overall population. While African Americans are overrepresented in state prisons for drug offenses, they do not use drugs at a significantly higher rate than other racial and ethnic groups.

It's important to note that drug use is a complex issue with many social and economic factors at play. It's crucial to approach drug use and addiction with a public health perspective that prioritizes prevention, treatment, and harm reduction over punitive criminal justice approaches.

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Your question is incomplete, but probably the complete question is :

57% of people in state prisons for drug offenses in the US are African American. What percentage of illicit drug users in the US are African American?

a. 14%

b. 28%

c. 42%

d. 56%

Answer:

144 Inches cubed

Step-by-step explanation:

8 × 6 × 6 = 288.

288 / 2 = 144.

you multiply to get the original volume then divide by 2 because the tank is only half full.

Answer:

d

Step-by-step explanation:

i said

Answer:

(5×2)×7

=10×7

=70 ans

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