1.
Find the midpoint of MN given M(3,-1) and N(11,-9)

Answer:

Check the explanation

Step-by-step explanation:

Other things being constant, a slowdown in population growth will lead to an increase in the availability of capital per worker and output per worker.

At the steady state, output per worker will grow at the rate of g while. Thus, steady state per person output growth will be same, however total output will increase at the rate n+g.

In case of transition between steady states, during the transition phase, output per worker will grow at a rate greater than g. Overtime in the long run with a fall in population growth, total output will fall while output per worker will increase.

Answer:

The area of shaded region is 25.5 units³

Step-by-step explanation:

Step 1 , you have to find the area of rectangle and triangle using the formulas :

Rectangle :

[tex]area = length \times width[/tex]

Let length = 5 units,

Let width = 6 units,

[tex]area = 5 \times 6[/tex]

[tex]area = 30 \: \: {units}^{2} [/tex]

Triangle :

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 3 units,

Let height = 3 units,

[tex]area = \frac{1}{2} \times 3 \times 3[/tex]

[tex]area = \frac{1}{2} \times 9[/tex]

[tex]area = 4.5 \: \: \: {units}^{2} [/tex]

Step 2 , in order to find the shaded region, you have to substract the area of triangle from the area of rectangle (As the triangle is not shaded) :

[tex]area = 30 - 4.5[/tex]

[tex]area = 25.5 \: \: \: {units}^{2} [/tex]

We have been given that the typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. Suppose last night you slept for 5 hours.

We will use z-score formula to solve our given problem as z-score tells a data point is how many standard deviation from the mean.

[tex]z=\frac{x-\mu}{\sigma}[/tex], where,

z = z-score,

x = Random sample score,

[tex]\mu[/tex] = Mean,

[tex]\sigma[/tex] = Standard deviation.

Upon substituting our given values in z-score formula, we will get:

[tex]z=\frac{5-7.5}{1.3}[/tex]

[tex]z=\frac{-2.5}{1.3}[/tex]

[tex]z=-1.923076923[/tex]

Upon rounding to two decimal places, we will get:

[tex]z\approx -1.92[/tex]

Therefore, you are [tex]-1.92[/tex] standard deviations from the mean or 1.92 standard deviation below mean.

Answer:

  250

Step-by-step explanation:

It appears your profit function is ...

  150x1 +250x2

This tells us the profit for each unit of product 2 is 250.

Answer:

NOOO OYU TYPE INTHE ANSWER

Step-by-step explanation:

Answer:

A. x - 4

D. x + 8

Step-by-step explanation:

To find the two binomial that are factors of the trinomial, you split the middle term into two:

[tex]x^2[/tex] + 4x - 32

[tex]x^2[/tex] - 4x + 8x - 32

Group:

([tex]x^2[/tex] - 4x)  (8x - 32)

Take out GCF (Greatest Common Factor):

x(x - 4)  8(x - 4)

(x + 8) (x - 4)

Answer:

The first option. ∠2 and ∠4 are vertical angles.

Step-by-step explanation:

The fact that ∠2 is vertical with ∠4, proves the angles must be congruent. Vertical angles are always congruent, while adjacent angles are supplementary.

Answer:

C

Step-by-step explanation:

Angle 1 is supplementary to both 2 and 4. It's correct

Answer:

y' = 3x² + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 2x - 1

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:214

Step-by-step explanation:

428 divided by 2. Half of the pages are even, half of 428 is 214

Answer:

214

Step-by-step explanation:

just divide the number of pages with 2

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

  D)  9 square units

Step-by-step explanation:

The squared term will always be non-negative, so the least it can be is zero (for x=3). The squared term is subtracted from 9, so the most the function value can be is 9.

The maximum area of the rectangle is 9 square units.

Answer:

9 square units

Step-by-step explanation:

Answer:

It’s a

Step-by-step explanation:

Got it right on edg hope this helped

Answer:

It's A

Step-by-step explanation:

Took test

Answer:

Mean = 1.73 mm

Standard deviation = 0.0698 mm

Step-by-step explanation:

Given:

Sample size, n = 40

Mean, u = 6.803

Standard deviation = 0.275

a) Given that one inch is 2.538 centimeters, to find the mean in millimeters we have:

[tex] 6.803 * \frac{1}{100} [/tex]

Converting to cm, we have:

[tex] 6.803 * \frac{1}{100} * 2.538 = 0.173 cm[/tex]

Converting to mm, we know 1cm = 10 mm,

0.173 * 10 = 1.73 mm

b) Given that one inch is 2.538 centimeters, to find the standard deviation in millimeters we have:

[tex] 0.275 * \frac{1}{100} [/tex]

Converting to cm, we have:

[tex] 0.275 * \frac{1}{100} * 2.538 = 0.00698 cm[/tex]

Converting to mm, we know 1cm = 10 mm,

0.00698 * 10 = 0.0698mm

In this exercise we have to use the knowledge of statistics to calculate the car production, so we have to:

Given the following information, we have:

A) Find the convertion to the mean in milimeters, will be:

[tex]6.803*(1/100)*2.538=0.173 cm\\=1.73 mm[/tex]

B) Find the convertion to the stardard deviation in milimeters, will be:

[tex]0.275*(1/100)*2.538=0.00698\\=0.0698 mm[/tex]

See more about statistics at brainly.com/question/10951564

Answer:

a is the correct option pls mark me as the brainliset

A. It is a proven fact that sometimes drawing it down will help you remember.

C. You could just write it down, simple as that.

F. People always doublecheck-it helps them go over to see if they made a mistake or anything.

Please, Brainliest?

Hope this helps.

Answer:

1.

Step-by-step explanation:

∛1= 1.

It can also be seen as:

1×1×1= 1.

Answer: =−36x−54

Step-by-step explanation:

=(9)(−4x+−6)

=(9)(−4x)+(9)(−6)

Answer:

-36x - 54

Step-by-step explanation:

Distribute 9 to all terms within the parenthesis. Multiply:

9( -4x - 6) =

9(-4x) = -36x

9(-6) = -54

-36x - 54 is your answer.

~

Answer:

-164 ft/second.

Step-by-step explanation:

The instantaneous velocity is given by the derivative;

f(t) = -16t^2 + 220t

V = f'(t) = -32t + 220

So at 12 seconds:

V = -32*12 + 220

= -164 ft/second ( It is negative because it is descending).

Answer:

  a)  D. y = 3 ±√x

  b)  parabola opening to the right

Step-by-step explanation:

(a) Solving for t in the equation for y:

  y = t+8

  t = y -8 . . . . subtract 8

Substituting into the equation for x, we have ...

  x = ((y -8) +5)^2 = (y -3)^2

Solving for y, we get

  ±√x = y -3 . . . . . take the square root

  y = 3 ±√x

__

(b) The equation describes a parabola that opens to the right.

Answer:

b=24

Step-by-step explanation:

VT^2 + (2b)^2 = 67^2

VT^2 + (b+24)^2 = 67^2

-> (2b)^2 = (b+24)^2

-> 2b = b+ 24

-> b = 24

Answer:

256÷-16=16

Step-by-step explanation:

The complete expression is 256 divided by -16 is -16

From the question, we have the following parameters that can be used in our computation:

256 divided by -16 = what

When represented as an equation, we have

Result = 256 divided by -16

Make the result the subject of the formula

So, we have

Result = 256/-16

Rewrite as

Result = -256/16

Evaluate the quotient

Result = -16

Hence, the number is -16

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

Answer:

  33.4 m^3

Step-by-step explanation:

The edge length of the base is 1/4 of the perimeter, so is ...

  (10.3 m)/4 = 2.575 m

Then the area of the base is the square of this, or ...

  B = (2.575 m)^2 = 6.630625 m^2

The volume is ...

  V = (1/3)Bh = (1/3)(6.630625 m^2)(15.1 m) ≈ 33.4 m^3

The volume of the pyramid is about 33.4 cubic meters.

Answer:

The height of the building: g

Distance from the building to the base of the ladder: 57

The length of the ladder: m

Angle the ladder makes with the building: k

Angle the ladder makes with the ground: 55

Step-by-step explanation:

Based off the location of the variables and numbers, the descriptions match where they are.

Hope that helps!

Answer:π

Step-by-step explanation:

180°=π

Answer:

-5

Step-by-step explanation:

-4x-12=8

     +12.  +12

-4x=20

Divide -4 on both sides

20/-4

x= -5

Answer:

the answer would be 10

Step-by-step explanation:

Answer: x= 5

Step-by-step explanation: Lets solve by completing the square.

You first need to get -15 by itself.

x^2-8x=15   Now you need to complete the square my finding a perfect constant that will go with x^2-8x, then add it to the other side containing -15 to balance the equation out.

-8x/2= -4^2=16 This will be the perfect square.

x^2-8x+16 = -15 + 16

(x-4)^2 = 1 factor into a binomial, then use the square root on both sides.

√ x-4 ^ 2 = √ 1

x-4 = 1

x=5

Answer:

Jumbo burger with fried is 75%

chicken with salad is 65%

Step-by-step explanation:

you first split the burger and sides. You add up the sides to find the salad. Then add up the sides and burgers

Answer:

What is the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwich with a Salad? Make an area or tree diagram to help with the problem.

Answer to question: 20% for Jumbo Burger with Regular Fries and 10.5% for Chicken Sandwich with a Salad.

Step-by-step explanation:

You are going to find the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwhich with a Salad by using a area model or a tree diagram. Although you ddin't ask me to solve it, I'm gonna help you with it anyways.

Sandwhiches:

50% - Jumbo Burger (JB)

30% - Chicken Sandwich (CS)

20% - Regular Burger (RB)

Sides:

40% - Curly Fries (CF)

35% - Salad (S)

25% - Regular Fries (RF)

Acronyms

Jumbo Burger (JB) + Curly Fries (CF) = JBCF

Jumbo Burger (JB) + Salad (S) = JBS

Jumbo Burger (JB) + Regular Fries (RF) = JBRF

Chicken Sandwich (CS) + Curly Fries (CF) = CSCF

Chicken Sandwich (CS) + Salad (S) = CSS

Chicken Sandwich (CS) + Regular Fries (RF) = CSRF

Regular Burger (RB) + Curly Fries (CF) = RBCF

Regular Burger (RB) + Salad (S) = RBS

Regular Burger (RB) + Regular Fries (RF) = RBRF

Probability of combinations:

JBCF = 0.5 x 0.4 = 0.20

JBS = 0.5 x 0.35 = 17.5

JBRF = 0.5 x 0.25 = 12.5

CSCF = 0.3 x 0.4 = 12

CSS = 0.3 x 0.35 = 10.5

CSRF = 0.3 x 0.25 = 7.5

RBCF = 0.2 x 0.4 = 8

RBS = 0.2 x 0.35 = 7

RBRF = 0.2 x 0.25 = 5

Your tree diagram should look something like this:

         CF(40%)- outcome - JBCF (20%)

          /  

(50%)JB ---  S(35%)-  outcome - JBS (17.5%)

           \            

           RF(25%)-  outcome - JBRF (12.5%)

         CF(40%)- outcome - CSCF (12%)

          /

(30%)CS ---  S(35%)- outcome - CSS (10.5%)

            \

            RF(25%)- outcome - CSRF (7.5%)

           CF(40%)- outcome - RBCF (8%)

           /

(20%)RB ---  S(35%)- outcome - RBS (7%)

          \

          RF(25%)- outcome - RBRF (5%)

Hope this helps because this took forever :D

Answer:

What =98.4

Step-by-step explanation:

Of means multiply and is means equals

7.5% * What = 7.38

Change to decimal form

.075 * what = 7.38

Divide each side by .075

.075 What /.075 = 7.38/.075

What =98.4

Answer:

the answer for this question is 98.4

Answer: C

Step-by-step explanation:

[tex]x^2+4x-21\\(x+7)(x-3)[/tex]

Answer: The correct answer is C.

Step-by-step explanation: If you factor the equation using the AC method, you will get this answer. Multiply A by C. For example, you would multiply 4 by 5 to get 20. List the factors of your answer from step two. That is, list pairs of numbers that you could multiply to come up with that answer. For instance, in the case of 20, you would have the following factors: (1, 20), (2, 10), (4, 5).

Find a pair of numbers among the factors that adds up to the B term in the equation. For this example, you must find a pair that adds up to 9. Therefore, you would isolate the pair (4, 5).

Replace the middle term (the B term) with the two numbers from the pair, along with the original variable that went with the B term. For example, you would write: 4x^2 + (4+5)x + 5 = 4x^2 + 4x + 5x + 5.

Group the first two terms and the last two terms together as such: (4x^2 + 4x) + (5x + 5).

Simplify the equation by finding terms that are common for each side. For instance, you would simplify (4x^2 + 4x) + (5x + 5) to 4x(x + 1) + 5 (x + 1). This would further simplify to (4x + 5) (x + 1).

Answer:

7793

Step-by-step explanation:

3400 x 1.05^17 = 7792.862

Answer:

The population would be 7792.86 or when rounded would be 7793

Step-by-step explanation:

This question is an example of a repeated percentage change

To work this out you would first have to convert the percentage of 5 into a decimal. You can do this by dividing 5 by 100, this gives you 0.05. This is because percentages are out of 100.

The next step is to add 0.05 to 1, which gives you 1.05. This is  because we are increasing the amount by 5% annually.  

The final step is to multiply the amount of 3400 by 1.05 to the power of 17, this gives you 7792.86. This is because we are finding 5% and adding it to the amount and finding 5% of that new amount, this will continue 17 times.

1) Divide 5 by 100.

[tex]5/100=0.05[/tex]

2) Add 0.05 to 1.

[tex]0.05+1=1.05[/tex]

3) Multiply 3400 by 1.05 to the power of 17.

[tex]3400*1.05^{17} = 7792.86[/tex]

4) Round to the nearest whole number.

7793