What is the inverse of adding 13?

Answers

Answer 1

Answer:

-13

Step-by-step explanation:

the inverse of 13 will be -13 or say its the opposite.

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Answer 2

Answer:

The additive inverse is just the opposite, -13


Related Questions

what is the value of 9 1/2

Answers

Answer:

9.5

Step-by-step explanation:

Is that what you mean by value?

I need a better explanation

Answer:

Step-by-step explanation:

It is nine and a half. What do you exactly mean by value?

Karana's mom bought her two items using a credit card. The first item cost $254, and the second item costs $388. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?

Answers

Answer: the amount owed to the credit card company after returning both items is $642

Step-by-step explanation:

$254+$388= $642

Answer:

-642

Step-by-step explanation:

Work out the area of a rectangle with base, b = 14mm and perimeter, P = 30mm

Answers

Answer:

14 mm squared is the area

Step-by-step explanation:

URGENT PLZ!! Drag the correct transformation into the box to match the definition. [BLANK]... moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding preimage and image points. Translation Rotation Reflection

Answers

Answer:

Reflection.

Step-by-step explanation:

Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.

On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.

At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.

Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.

Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection.

Which type of transformation is shown? The transformation is a

Answers

Can I see the transformation?

Find the radius of the circle below. Round your answer to the nearest tenth. You mustshow work for full credit.A= 31.2 cm 2.256A

Find the radius of the circle below. Round your answer to the nearest tenth. You mustshow work for full

Answers

The given information is:

- The area of the sector of the circle is 31.2 cm^2.

- The exterior of the sector angle is 256°.

The area of the sector is given by the formula:

\(A=(\frac{\theta}{360\degree})*\pi r^2\)

Where theta is the sector angle and r is the radius of the circle.

The whole circle measures 360°, so the sector angle can be found as follows:

\(\begin{gathered} \theta+256\degree=360\degree \\ \theta=360\degree-256\degree \\ \theta=104\degree \end{gathered}\)

Now, replace theta and the area value in the formula to solve for r:

\(\begin{gathered} 31.2=\frac{104}{360}*\pi r^2 \\ \\ 31.2*\frac{360}{104}=\pi r^2 \\ \\ 108=\pi r^2 \\ \\ r^2=\frac{108}{\pi} \\ \\ r^2=34.4 \\ \\ r=\sqrt{34.4} \\ \\ r=5.9 \end{gathered}\)

The radius of the circle is 5.9 cm.

An athlete goes to the gym to train for 90 minutes each day for as many days as possible. Write an equation that relates the number of days, d, that the athlete spends training if the athlete trains for 540 minutes.

Answers

Answer:

23

Step-by-step explanation:

your answer will be 23

Which of the following correctly graphs the system of equations?

{y=x−3
y=−2x+3

Which of the following correctly graphs the system of equations?{y=x3y=2x+3
Which of the following correctly graphs the system of equations?{y=x3y=2x+3
Which of the following correctly graphs the system of equations?{y=x3y=2x+3
Which of the following correctly graphs the system of equations?{y=x3y=2x+3

Answers

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3? m​

Answers

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of is 5.

The coordinates of point that divides the line segment into m:n ratio can be obtained as follows,

Coordinates of point = \((\frac{mx_{2}+ nx_{1} }{m+n} \frac{my_{2}+ ny_{1}}{m+n} )\)

The coordinate of point J is (-3,1)

The coordinate of point K is (-8,11)

Consider the point that divides the line segment into 2:3 ratio as P(x,y).

The coordinates of point that divides the line segment into 2:3 ratio can be calculated as follows,

\(Coordinates of P = (\frac{3(-3)+2(-8)}{2+3}, \frac{3(1)+2(11)}{2+3} )\)

\(= (\frac{-9-16}{5}, \frac{3+22}{5} )\\\\= (\frac{-25}{5} \frac{25}{5} )\)

= (-5,5)

Hence the answer is The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.

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Which of the following is a
parameterization of the line that passes through the point (2,-3) with a slope of 4?

Which of the following is aparameterization of the line that passes through the point (2,-3) with a slope

Answers

The expression that is a

parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t

It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is

What is a parameterization of the line?

A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.

Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Therefore, the correct answer is as given above

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A greengrocer buys 20 cases of oranges at a cost of $15 per case. Each case contains 10 kg of oranges. If he sells the oranges at $4/kg, how many kilograms must he sell before he makes a profit? If he sells all the oranges what will be his profit?

Answers

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

when a satellite reads radiation from a mountain the amount of radiation it observes is distributed n(490, 2916) (units are msv). a spy satellite has detected a radiation level of 599 from a mountain known to have terrorists. assuming there is no nuclear danger here, what is the probability of a random radiation measurement being 599 or higher?

Answers

The probability of a radiation measurement of 599 or higher from a mountain known to have terrorists, assuming no nuclear danger, is about 0.0668.

How to find the probability?

We are given that the radiation levels observed by the satellite are normally distributed with a mean of 490 and a variance of 2916. We want to find the probability of a random radiation measurement being 599 or higher, assuming there is no nuclear danger.

First, we need to standardize the radiation level of 599 using the formula:

z = (x - mu) / sigma

where x is the radiation level, mu is the mean, and sigma is the standard deviation. Substituting the values we have:

z = (599 - 490) / √(2916) = 1.5

Now, we can use a standard normal distribution table or calculator to find the probability of a z-score of 1.5 or higher. The table or calculator will give us the area under the standard normal curve to the right of 1.5.

Using a calculator, we can find this probability as follows:

P(Z > 1.5) = 0.0668 (rounded to four decimal places)

Therefore, the probability of a random radiation measurement being 599 or higher is approximately 0.0668, assuming there is no nuclear danger.

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PIz HeIp The circumference of the red circle is approximately ____ units. Use 3.14 for π.

Do not round your answer.

PIz HeIp The circumference of the red circle is approximately ____ units. Use 3.14 for .Do not round

Answers

The circumference of the circle inscribed in a square of side 14 units is 43.96 units, on the basis of the fact that the diameter of the circle will be equal to the side of the square.

What is circumference?

Circumference is the length of a circle's boundary or the perimeter of any circular object or figure.A circle's circumference or an elliptical two-dimensional figure's perimeter are the same. Either the radius or the diameter of the circle are necessary components to calculate the circumference.

Circumference of circle=2πr       {where r=radius}

                                      =πd         {where d=diameter}

Given that the circle is inscribed in the square & it is the maximum possible circle that would fit inside the square of 14 units.

The diameter of circle= side of square that inscribes circle

                               d   = 14 units

Circumference of circle=πd

                                      =π(14)

                                      =14π      {in terms of π}

Circumference of circle=14π

                                      =14(3.14)            {taking π=3,14}

                                      =43.96 units

Circumference of circle=43.96 units

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Can someone please figure this out and explain it? I am so confused!

Can someone please figure this out and explain it? I am so confused!

Answers

Answer:

Step-by-step explanation:

13. On an early winter moming the temperature in Kusma Bazaar suddenly fell to -2°C. However, it rise to 18°C at the day time. How much was the shift in temperature?​

Answers

Answer:

Required number is

Step-by-step explanation:

18-(-2)

=18+2

=20 degree celsius

The shift in temperature was an increase of 20° Celsius.

To find the shift in temperature, we need to find the difference between the two given measurements:

18 - (-2) = 20

Therefore, the temperature increased by 20°.

is this correct??????

is this correct??????

Answers

First, since we know that the total number of stamps that Josef has is j and that Mai will have j – 500 stamps, we can set up an equation. The total number of stamps should be j + (j – 500), which can be simplified to 2j – 500. We can set up cross multiplication since we know Josef has 60% of the stamps. = When we cross multiply, we get 100j = 60(2j – 500). Next, using the distributive property, multiply to get 100j = 60(2j – 500). Then use the additive inverse property to subtract 120j from both sides and get -20j = -30,000. Finally, divide by -20 to get j = 1,500.

C. 1,500 hope this helps

A salesperson had $240, 000 in sales last year, which is 60% of the sales she had this year. Which equation could be used to determine x, the salesperson's total amount of sales, in dollars, for this year?

Answers

Answer: $400,000

Step-by-step explanation:

Let the salesperson's total amount of sales, in dollars, for this year be represented by x.

Therefore, 60% of x = $240,000

60/100 × x = $240,000.

0.6 × x = $240,000..

x = $240000 / 0.6

x = $400,000

Therefore, the salesperson's total amount of sales, for this year is $400,000.

A population of 100,000 consumers is grouped as follows: 10,000 users of Brand A, 20,000 users of Brand B, and 70,000 who use neither brand. During any month, a Brand A user has a 20% probability of switching to Brand B and a 5% probability of not using either brand. A Brand B user has a 15% probability of switching to Brand A and a 10% probability of not using either brand. A non user has a 10% probability of purchasing Brand A and a 15% probability of purchasing Brand B. How many people will be in each group in 1 month, in 2 months, and in 18 months

Answers

After 1 month, there will be approximately 9,750 Brand A users, 20,350 Brand B users, and 69,900 non-users.

After 2 months, the numbers change to approximately 9,532.5 Brand A users, 20,783.5 Brand B users, and 69,684 non-users.

Finally, after 18 months, the numbers are approximately 9,524.90 Brand A users, 20,805.48 Brand B users, and 69,669.62 non-users.

To determine the number of people in each group after a certain number of months, we can use a transition matrix and matrix multiplication.

Let's define the following matrices:

X = [A, B, N], where A represents Brand A users, B represents Brand B users, and N represents non-users.

P = [[0.75, 0.10, 0.15], [0.20, 0.75, 0.05], [0.10, 0.15, 0.75]], which is the transition matrix representing the probabilities of switching or staying with each brand or becoming a non-user.

To calculate the number of people in each group after 1 month, we can multiply the initial population matrix X0 by the transition matrix P:

X1 = X0 * P

To calculate the number of people in each group after 2 months, we multiply X1 by P:

X2 = X1 * P

To calculate the number of people in each group after 18 months, we multiply X0 by the transition matrix raised to the power of 18:

X18 = X0 * P^18

Now, let's calculate the results:

Initial population matrix:

X0 = [10,000, 20,000, 70,000]

After 1 month:

X1 = X0 * P

X1 = [10,000, 20,000, 70,000] * [[0.75, 0.10, 0.15], [0.20, 0.75, 0.05], [0.10, 0.15, 0.75]]

X1 = [9,750, 20,350, 69,900]

After 2 months:

X2 = X1 * P

X2 = [9,750, 20,350, 69,900] * [[0.75, 0.10, 0.15], [0.20, 0.75, 0.05], [0.10, 0.15, 0.75]]

X2 = [9,532.5, 20,783.5, 69,684]

After 18 months:

X18 = X0 * P^18

X18 = [10,000, 20,000, 70,000] * P^18

X18 = [9,524.90, 20,805.48, 69,669.62]

Therefore, after 1 month, there will be approximately 9,750 Brand A users, 20,350 Brand B users, and 69,900 non-users. After 2 months, the numbers change to approximately 9,532.5 Brand A users, 20,783.5 Brand B users, and 69,684 non-users. Finally, after 18 months, the numbers are approximately 9,524.90 Brand A users, 20,805.48 Brand B users, and 69,669.62 non-users.

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A car is traveling along a road that makes a 13° angle with the ground. Find the elevation of the car on a stretch of road that extends horizontally 125 meters. Round your answer to the nearest tenth.

Answers

Answer:

Therefore, the elevation of the car on the stretch of road, rounded to the nearest tenth, is approximately 29.7 meters.

Step-by-step explanation:

To find the elevation of the car on a stretch of road that extends horizontally 125 meters, we can use trigonometry.

Given:

Angle of the road = 13°

Horizontal distance = 125 meters

We can use the tangent function to calculate the elevation:

tan(angle) = opposite / adjacent

In this case, the opposite side represents the elevation, and the adjacent side represents the horizontal distance.

Let's denote the elevation as "e". The equation becomes:

tan(13°) = e / 125

To solve for "e", we can rearrange the equation:

e = 125 * tan(13°)

Using a calculator, we can evaluate this expression:

e ≈ 125 * tan(13°) ≈ 29.7

The value of y varies directly with x. When x = 15, y= 12, what is the value of y when x = 10 ¼?

Answers

Answer:

8.2

Step-by-step explanation:

x=10 1/4=41/4

we have to do  Unitary method.

when x=15 then y=12

when x=1 the y=12/15

when x=41/4 then y=(12*(41/4))/15

Select ALL the expressions that have the same value as 9s

1. 9+s
2. 9*s
3. 3s + 6s
4. 3(3s)
5. s(5+4)
6. 3s * 3s
7. s+s+s+s+s+s+s+s+s

Answers

2,3,4,5,6 and 7 all I have the same value as 9s. Hope this helps:)

Answer:

1

Step-by-step explanation:

Find (f +g)(x) where f(x) = x+ 3 and g(x) = x + 4.

Find (f +g)(x) where f(x) = x+ 3 and g(x) = x + 4.

Answers

Answer:

Correct answer is A

Step-by-step explanation:

In pic

Credits: Symbolab)

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Find (f +g)(x) where f(x) = x+ 3 and g(x) = x + 4.

Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the tablebelow. The total amount of water that leaked out is evaluated by a Riemann sum. Find the upper estimate (left end-points of each rectangle) for the total amount ofwater that leaked out by using five rectangles

Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and

Answers

ANSWER

72.2 gallons

EXPLANATION

We can do a graph for these rectangles to understand the problem better,

Now, we have to find the sum of the areas of these rectangles. Note that all of them have a width of 2 units, so the sum of the areas is 2 multiplied by the sum of the heights of the rectangles,

\(2(10.7+8.6+6.6+5.2+5)=2\cdot36.1=72.2\)

Hence, the upper estimate for the total amount of water leaked out is 72.2 gallons.

Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and

Sally bought 30 of the same present for her friends to give away at her birthday party. She initially purchased 18 online for a cost of $42. She then realized she needed more so she drove to the store and purchased 12 more of the same item for $20. Which place offered her the better deal? Show the work that justifies your answer

Answers

Answer:

the store offered the better deal

Step-by-step explanation:

the store was only 20 dollars and online e was 42 so the store had the better deal

Find (a) the circumference and (b) the area of the circle. Use 3.14 or 22/7 for
pi . Round your answer to the nearest whole number, if necessary. 70 in

Answers

a) The value of circumference of circle is,

C  = 219.8 Inches

b) The value of area of circle is,

A = 3,846.5 in²

Given that;

The diameter of circle is, 70 inches

a) Circumference of circle is,

C = π × diameter,

So, We get;

C = 3.14 × 70

C  = 219.8 Inches

b) The area of circle is,

A = πr²,

And, Radius is 1/2 of diameter,

Hence, Radius = 70/2 = 35 inches

Thus, We get;

A =  3.14 × 35²

A = 3.14 × 1225,

A = 3,846.5 in²

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pleaseeeeeeee helpppp!!! Find the missing angel measurements of angle 1,4,7,10,13 please consider how many degrees are in a triangle while solving this please please help, this is for geometry

pleaseeeeeeee helpppp!!! Find the missing angel measurements of angle 1,4,7,10,13 please consider how

Answers

Answer:  ∠1 = 52°, ∠4 = 40°, ∠7 = 100°, ∠10 = 49°, ∠13 = 65°

Step-by-step explanation:

There are three formulas you need to find the angles. Each formula is based on where the vertex lies.

On the circle: Measure of the angle = (1/2) the arc

∠4 = (1/2)°80             ∠10 = (1/2)(18° + 80°)           ∠13 = (1/2)130°

    = 40°                           = (1/2)98°                            = 65°

                                       = 49°

Inside the circle: (1/2) Sum of the Big arc and Little Arc

∠7 = (1/2) (130° + 70°)

    = (1/2)200°

   = 100°

Outside the circle: (1/2) Difference of the Big arc and Little Arc

∠1 = (1/2)[(62° + 130°) - (70° + 18°)]

    = (1/2) (192° - 88°)

   = (1/2)104°

   = 52°

Below is the solution for ALL of the angles

pleaseeeeeeee helpppp!!! Find the missing angel measurements of angle 1,4,7,10,13 please consider how

Which expression is equivalent to 4(3n -5)?

Which expression is equivalent to 4(3n -5)?

Answers

Answer:

12n-20

Step-by-step explanation:

Use distribution

4×3n= 12n

4×(-5)= -20

12n-20

Answer:

12n - 20

Step-by-step explanation:

1. 4(3n-5)

2. 4(3n-5) = 12n - 20           multiply every number in (  ) by 4 (include variables)

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in the fig pq//ab and pr//bc if qpr= 102 degree find angle abc

Answers

The measure of the angle ABC from the diagram is equivalent to 78 degrees.

Line and angles

We need to find <ABC

Let us produce BA to meet PR at point G.

It is given that BG || PQ

Thus, <RGB and <QPR are corresponding angles.

This shows that <RGB = <QPR since they are corresponding angles.

On the other hand, <QPR = 102 degrees and <ABC are <RGB consecutive interior angles, then:

<ABC + <RGB = 180

<ABC + 102 = 180

<ABC = 180 - 102

<ABC = 78 degrees

Hence the measure of the angle ABC from the diagram is 78 degrees.

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in the fig pq//ab and pr//bc if qpr= 102 degree find angle abc

Q1. Convert the following LPs to standard form: minz=3x1+x2 s.t.
x1>=3
x1+x2<=4
2x1−x2=3
x1,x2>=0
minz=3x1+x2
s.t.
x1>=3
x1+x2<=4
2x1−x2=3
x2>=0,x1: unrestricted

Answers

The standard form of the LP is

min z = 3x1 + x2
s.t.
x1+ - 3 >= 0
x2 >= 0
x2 <= 4 - x1
2x1 - x2 + s = 3
x1+, x1, x2, s >= 0.

The problem is in standard form with all constraints as "≤" inequalities and all variables non-negative.

To convert the given linear programming problem (LP) into standard form, we need to make sure that all the constraints are of the form "≤" and the objective function is in the form of "minimize" or "maximize" with all variables on the right side.

1. Start by converting the objective function. The given objective function is already in the form of "minimize," so no changes are needed.

2. Next, convert the first constraint, x1 >= 3. Since it is already in the correct form, we can move on to the second constraint.

3. Convert the second constraint, x1 + x2 <= 4. To convert it to the "≤" form, subtract x1 from both sides: x2 <= 4 - x1.

4. Now, convert the third constraint, 2x1 - x2 = 3.

Since it is an equation, we need to introduce a slack variable to convert it into an inequality.

Add a new variable, s, and rewrite the constraint as follows: 2x1 - x2 + s = 3.

5. Finally, we need to ensure that all variables are non-negative.

The given constraint x2 >= 0 is already in the correct form, but x1 has no explicit lower bound.

To address this, we can introduce a new variable, x1+, and rewrite x1 as the difference between x1+ and 3: x1 = x1+ - 3.

The standard form of the LP is now:
min z = 3x1 + x2
s.t.
x1+ - 3 >= 0
x2 >= 0
x2 <= 4 - x1
2x1 - x2 + s = 3
x1+, x1, x2, s >= 0.

In summary, the LP is converted to standard form by rewriting the constraints and introducing additional variables as necessary to ensure all constraints are in the form of "≤" and the objective function is in the form of "minimize."

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Please help me !! would appreciate

Please help me !! would appreciate

Answers

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

What is a quadrilateral?

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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convert 336% to a fraction If you try to add a string to an integer, which error will result? A. LogicError B. NameError C. FunctionError D. TypeError What is the equation for the line of reflection?On a coordinate plane, image A B C D has points (2, 2), (7, 3), (5, 1), (4, 1). Image A prime B prime C prime D prime has points (10, 2), (5, 3), (7, 1), (8, 1).x = 6y = 6y = xy = 2 Why do you think the artist felt so strongly about the message of the piece above? Section II. Short Answer 4. Please explain the difference between an independent samples t-test and a one-way analysis of variance and a two-way analysis of variance. 5. Why would we run a two-way analysis of variance and what effects would we look at for interpretation (hint: there are 3 effects total)? 6. When we estimate to the population from sample data (as we do with inferential statistics), why are we so worried about Type I error? 7. What is the key difference between an independent and a dependent samples t-test? let be the solution of the equation y''-5y' 6y=0 satisfying the conditions y(0)=1 and y'(0)=2 and . find ln(y(1)) Write the equation of a line thatpasses through the point (0, 3)with a slope of -3. Multiplying Integers-5(-2)= Muscular endurance is a component of health related physical fitness ? 17.) A fan has 4 settings marked 0,1,2,3. On the '1' setting, it rotates 100 times in one minute. The rate of rotation doubles on the '2' setting, and again doubles on the '3' setting. How many times will the fan rotate in 15 minutes on the '3' setting? A. 1500B. 3000 C. 4500 D. 6000 100 tho 212 TRUE / FALSE. what are some sources of requirements? check all that might apply. The required initial capital expenditures for a new waste treatment project is projected to be $100,000. Annual operation and maintenance costs are $22,000 per year in current-year, real dollar amounts. The lifetime of the project is 25 years and the appropriate (real) MARR value is 4% per year. (a) Determine the present value of the costs of this project. 1 (b) A valuation analysis has determined that the waste treatment project will create benefits that equal $32,000 per year for residents of the region in terms of access to cleaner water and soil. Is the investment worth it? (c) What is the minimum benefit (instead of $32,000) that would be required for this investment to be feasible for public investment subject: Calculus and vectors, modelling equationsAPPLICATIONS OFDERIVATIVESplease do 1 and 2 show your work i will like thesolutions.1. A 1000 L tank is draining such that the volume V of water remaining in the tank after t minutes is V-1000 1 1000 (1-0) Find the rate at which the water is flowing out of the tank after 10 min. 60 2 Which modern art style/movement does the work best fit?(A.) Expressionism (B.) Abstract Expressionism (C.) Pop Art (D.) Fauvism 50 POINTS!!Explain why the size of solid particles and the temperature of reaction affects the reaction rate according to the collision theory in other words explain why a reaction speed up or slow down based on interactions between reactive molecules when temperature of the reaction or size of solid reacting particles changed A ray of light is incident on a right angled prism of refractive index 1,5 , calculate the angle of refraction of the ray within the prism How much is 155 cm in feet? A nationwide survey found that 62% of American adults drink coffee regularly. A professor wondered if the proportion of coffee drinkers among MU students would differ from this nationwide proportion. He planned to conduct a hypothesis test at the .05 level of significance.Question F1: Formulate the hypotheses for the test. (Note: Some of the choices are about p and others are about p. Decide which is correct and choose your response accordingly.)Group of answer choicesH0: p=.62HA: p.62H0: p.62HA: p=.62H0: p.62HA: p=.62H0: p=.62HA: p.62Flag question: Question 20Question 205 ptsQuestion F2: He selected a random sample of 100 MU students and found that 72 of them drank coffee regularly. Choose the appropriate formula for the test statistic and find its value.Group of answer choices2.222.062.341.982.14Flag question: Question 21Question 215 pts A sheet of glass has a density of 2.5 8 What is the density of the glass in k8 ? mi. The Smith family drove a total of 555 miles, starting on Friday and ending on Sunday. They drove 155miles on Friday and 276 miles on Saturday. How many miles did they drive on Sunday?