I need help with this question

I Need Help With This Question

Answers

Answer 1

Answer:

7

This question is tying to introduce an idea that

eventually becomes a calculus question ....

(4^2 + 3(4)) - (0^2+3(0))

             4 - 0

28 - 0       = 7

   4

Step-by-step explanation:

Answer 2

Answer:

7

Step-by-step explanation:

1. Approach

The average rate of change can simply be defined as the slope of a line that passes through any two points on a coordinate plane. In this situation, one is given a function, and one is asked to find the rate of change over an interval.

Given function: [tex]f(x)=x^2+3x[/tex]

Intervale, [tex][0, 4][/tex]

This can be done by evaluating the endpoints of the interval by substituting them into the function. Then writing the resulting the form of a point on the coordinate plane ([tex]x, y[/tex]). Finally, one can find the slope of the line that passes through the points by using the following slope formula,

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are coordinate points.

2. Find the points

With the function (f(x)), substitute the end points of the itnerval ( [0, 4] ) into the function to generate coordinate points,

[tex]f(x)=x^2+3x[/tex]

[ 0, 4 ]

[tex]f(0)=(0)^2+3(0)\\=0 + 0\\ =0[/tex]

Point: (0, 0)

[tex]f(4)=(4)^2+3(4)\\= 16 + 12\\ = 28[/tex]

Point: (4, 28)

3. Find the average rate of change,

Now substitute the points the formula to find the slope, then simplify to evaluate

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

(0, 0), (4, 28)

Substitute,

[tex]\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{28-0}{4-0}\\\\=\frac{28}{4}\\\\= 7[/tex]

The average rate of change is 7.


Related Questions

convert 657 as binary form in computer language​

Answers

Answer:

1010010001

Step-by-step explanation:

Keep dividing 657 by 2, and record the quotient and remainder

657

328,1

164,0

82,0

41,0

20,1

10,0

5,0

2,1

1,0

So chain the remainders from bottom up to get the binary number:

1010010001

Check:

1+16+128+512=657  checks.

I have 3 questionssss

∠A and ∠T are supplementary. Given m∠T = (7x+11)° and m∠A = (8x+19)°, what is m∠T?

The other two are in the pics attached! PLS!

Answers

Answer:

<T = 81

x = 10, angle = 60

Angle 5 and Angle 3 are vertical angles.  They are acute angles

Step-by-step explanation:

Supplementary angles add to 180

(7x+11) + (8x+19) = 180

Combine like terms

15x + 30 = 180

Subtract 30 from each side

15x +30-30 = 180-30

15x= 150

Divide by 15

15x/15 = 150/15

x = 10

We want angle T

T = 7x+11 = 7(10)+11 = 70+11 = 81

The two angles add to 90

5x+10 + 30 = 90

Combine like terms

5x+40 = 90

5x+40-40 = 90-40

5x = 50

Divide by 5

5x/5 = 50/5

x=10

5x+10 = 5(10) +10 = 50+10 = 60

Angle 5 and Angle 3 are vertical angles.  They are acute angles

Explain the Skill

Watch the following video on fractions and then try the exercises.


13
12
14
Practise the Skill

Mia is having a party with friends.

The pizzas and pies have already been cut into portions.

Match the shaded area of the pizzas and pies to the correct fraction.

an image


Correct
an image


Correct
an image

Correct
Practise the Skill

One fifth of the people coming to the party are under 18.

Select this fraction.

14
1
4
Incorrect 110
1
10
15
1
5
12
1
2

Mia has been very creative and made a pizza with different toppings.

an image

What fraction of the pizza is mushrooms?



Incorrect - Correct Answer: 14
1
4
Practise the Skill

At the party, two-fifths of the crisps for guests will be ready salted. Select this fraction.

12
1
2
34
3
4
15
1
5
25
2
5
Correct 23
2
3
52
5
2

Mia cuts a cake equally into ten pieces. Three pieces are left.
an image
What fraction is left?



Correct

One tenth of the guests have brought food for the party. Select this fraction.

110
1
10
18
1
8
15
1
5
14
1
4
12
1
2
Explain the Skill

Finding a Fifth

When an amount is shared into 5 equal parts, each part is called a fifth.

The amount is divided by 5. A fifth is one of five equal parts.

Example

A minibus is carrying 10 people. 15
1
5
of the people on the minibus are children.

Calculate how many people on the minibus are children.

To find a fifth of an amount, divide the amount by 5.

The calculation is 10 ÷ 5 = 2

So, the minibus is carrying 2 children.
Explain the Skill

Finding a Tenth

When an amount is shared into 10 equal parts, each part is called a tenth.

The amount is divided by 10. A tenth is one of ten equal parts.

Example

There are 50 people at a party. 110
1
10
of the people at the party are vegetarian.

Calculate how many people at the party are vegetarian.

To find a tenth of an amount, divide the amount by 10.

The calculation is 50 ÷ 10 = 5

So, 5 people at the party are vegetarian.
Practise the Skill

550 people attend a conference.

15
1
5
of the attendees have a dietary requirement.

Calculate the number of people who have dietary requirements by completing the calculation below.

Answers

You should post a picture if possible. This is complicated to understand written this way

Complete factorization of x^3+4x^2-20x-48

Answers

Answer:

 (x + 6) • (x + 2) • (x - 4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x3) +  22x2) -  20x) -  48

STEP

2

:

Checking for a perfect cube

2.1    x3+4x2-20x-48  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+4x2-20x-48  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3-48  

Group 2:  4x2-20x  

Pull out from each group separately :

Group 1:   (x3-48) • (1)

Group 2:   (x-5) • (4x)

"when reading a cd-rom disk 2.8 cm from its center the rotational speed is 726 rpm what is the rpm at 5.2cm

Answers

9514 1404 393

Answer:

  726 rpm

Step-by-step explanation:

The angular speed is not dependent upon the radius. The rotational speed is 726 rpm at any radius.

Which of the following numbers could not be used to describe a distance walked?
129 feet
12 feet
- 140 feet
|-125 feet

Answers

Answer:

-140 ft is not a distance

Step-by-step explanation:

Distance must be a positive number

-140 is negative

A pharmaceutical company conducted an experiment to test a drug for managing morning sickness for school children. The
company enrolled students for the experiment in the age group of 10 to 15 and divided them into two groups. One group
received sugar pills and the other group received pills that have compounds to manage morning sickness. Which group
receives the placebo?

Answers

Answer:

In an experiment, one group receives a new antidepressant medication and the other group receives a sugar pill. the group receiving the new antidepressant medication is called the ________ group.

a. dependent

b. placebo

c. experimental

d. control.

What is the equation of the line that passes through the point (-4, 2) and has a
slope of -2?

Answers

Step-by-step explanation:

use the equation of the straight line

y-y1=m (x-x1)

y-2=-2(x+4)

y-2= -2x-8

y= -2x-8+2

y= -2x-6

I hope this helps

If in 1 month you can make 6 carpets, how many days will it take for making 10 carpets?

Si en 1 mes puedes hacer 6 alfombras, ¿cuántos días se necesitarán para hacer 10 alfombras?

Answers

Step-by-step explanation:

6 carpets=1month

10 carpets=?

1month=31 days

10 /6*31

51

Step-by-step explanatio

Two buses leave towns 1060 kilometers apart at the same time and travel toward each other. One bus travels 14 kilometers an hour faster than the other. If they meet in 5 hours, what is the rate of each bus?

Answers

Answer:

99, 113

Step-by-step explanation:

X-the first bus

X+14-the second bus

5x+5(x+14)=1060

10x+70=1060

10x=990

X=99-the first bus

99+14=113-the second bus

In the Fuel Economy Guide for 2018 model vehicles, the Environmental Protection Agency gives data on 1160 vehicles. There are a number of outliers, mainly hybrid gas electric vehicles. If we ignore outliers, the combined city and highway gas mileage of the other 1134 vehicles is approximately Normal with mean 22.6 miles per gallon (mpg) and standard deviation 5.2 mpg.

Required:
a. What proportion of vehicles have worse gas mileage than the 2020 Honda Civic?
b. My dad has a truck that gets around 14 mpg. How many standard deviations from the mean is my dad's truck?

Answers

Answer:

a) The probability is the p-value of [tex]Z = \frac{X - 22.6}{5.2}[/tex], in which X is the gas mileage of the 2020 Honda Civic.

b) Your dad's truck is 1.65 standard deviations below the mean.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normal with mean 22.6 miles per gallon (mpg) and standard deviation 5.2 mpg.

This means that [tex]\mu = 22.6, \sigma = 5.2[/tex]

a. What proportion of vehicles have worse gas mileage than the 2020 Honda Civic?

This is the p-value of Z, given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - 22.6}{5.2}[/tex]

In which X is the gas mileage of the 2020 Honda Civic.

b. My dad has a truck that gets around 14 mpg. How many standard deviations from the mean is my dad's truck?

This is Z when X = 14. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14 - 22.6}{5.2}[/tex]

[tex]Z = -1.65[/tex]

Your dad's truck is 1.65 standard deviations below the mean.


Which of the following describes the diagonals of a square?
Select the best answer from the choices provided.

A. They are not congruent.
B. They are not perpendicular to each other.
C. They bisect the opposite angles.
D.
All of the answers are correct.

Answers

Answer:

ALL OF THE ANSWERS ARE CORRECT .

HOPE IT HELP YOU.

if √3CosA = sin A , find the acute angle A​

Answers

Answer:

Here is your answer.....

Hope it helps you....

the bath tap was left dripping at 18 :00. The water dripped out at a rate of 3 drops per minute. each drop contains 2ml of water. how much water had been lost by 06 :00 the next morning​

Answers

so first, we need to figure out how long the tap had been dripping for. To do this, we have two values: 6:00 pm and 6:00 am. From 6 pm to 6 am is 12 hours.

Then, we convert this to minutes, so it can be easier to figure out the rate of water dripping in minutes, not hours. So we do, 12*60, which is 720 minutes.

Next, we need to find out how many drips of water there was. So, if 3 drops come out of the tap in 1 minute, we need to multiply 3 and 720 to give us the amount of drops that come out in 720 minutes. 720*3 is 2160.

Then, we need to figure out how much millilitres of water that it. So, we do 2160*2 which is 4320 ml.

So, 4320 ml of water had been lost by 6 am.

Feel free to ask any questions if anything isn't clear x

1 1/5 + 17/2 - 3/2 Helppppp

Answers

Answer:

[tex]\frac{82}{10}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{5} +\frac{17}{2} -\frac{3}{2}[/tex]

→ Convert the mixed number into an improper fraction

[tex]\frac{6}{5} +\frac{17}{2} -\frac{3}{2}[/tex]

→ Complete the takeaway operation

[tex]\frac{6}{5} +\frac{14}{2}[/tex]

→ Make the denominators the same

[tex]\frac{12}{10}+\frac{70}{10}[/tex]

→ Simplify

[tex]\frac{82}{10}[/tex]

Answer:

8.2

Step-by-step explanation:

How far can you travel in 19 hours at 63 mph

Answers

Answer:

1197 miles.

Step by step explanation:

Speed(s) = 63 mph

Time(t) = 19 hours

Distance(d) = ?

We know,

D = S × T

= 63 × 19

= 1197 miles

A paper factory makes cardboard sheets like the one shown below. If the area of ​​each sheet is given by the expression 6x ^ 2 + 7x + 2, what are the dimensions of each sheet of cardboard?

Answers

Answer:

67^2+76+2

that's my answer towards this question

What is 1/2 of 1/3 of 1/5 of 60?

Answers

IT supposed to be 2 because 1/2 1/3 of 1/5 of 60 is "2".

Answer:

2

Step-by-step explanation:

Of means multiply

1/2 * 1/3* 1/5 * 60

1/6 * 1/5*60

1/30 *60

60/30

2

Solve the equation 10 + y√ = 14

Answers

9514 1404 393

Answer:

  y = 16

Step-by-step explanation:

Perhaps you want to solve ...

  10 +√y = 14

  √y = 4 . . . . . . subtract 10

  y = = 16 . . . square both sides

A subcommittee of six is to be selected from a committee containing 10 democrats and 12 republicans. In how many ways can at least 1 democracy be selected for the subcommittee?

Answers

Answer:

the number of ways to select at least 1 democrat in the subcommittee is 69,486 ways

Step-by-step explanation:

Given;

number of the subcommittee, = 6

number of democrats = 10

number of republicans, = 12

The number of ways to select at least 1 democrat in the subcommittee is calculated as follows;

Let D represent Democrats

let R represent Republicans

= (1D & 5R) or (2D & 4R) or (3D & 3R) or (4D & 2R) or (5D & 1R) or (6D)

= 10C₁ x 12C₅  +  10C₂ x 12C₄  +  10C₃ x 12C₃  + 10C₄ x 12C₂ + 10C₅ x 12C₁  + 10C₆

[tex]=( \frac{10!}{9!1!} \times \frac{12!}{7!5!} )+ (\frac{10!}{8!2!} \times \frac{12!}{8!4!})+ (\frac{10!}{7!3!} \times \frac{12!}{9!3!})+ (\frac{10!}{6!4!} \times \frac{12!}{10!2!})+ (\frac{10!}{5!5!} \times \frac{12!}{11!1!}) \\\\ +(\frac{10!}{4!6!})\\\\= (7,920) + (17,820) + (26,400) + (13,860)+ (3,276) + (210)\\\\= 69,486 \ ways[/tex]

Therefore, the number of ways to select at least 1 democrat in the subcommittee is 69,486 ways

How long will it take for a home improvement loan for 22,800to earn interest of 608.00at 8 %ordinary interest

Answers

9514 1404 393

Answer:

  120 days

Step-by-step explanation:

Using the formula for simple interest, we can solve for t:

  I = Prt

  t = I/(Pr) = 608/(22800×.08) = 608/1824 = 1/3 . . . . year

For "ordinary interest", a year is considered to be 360 days, so 1/3 year is ...

  (1/3)(360 days) = 120 days

It will take 120 days for the loan to earn 608 in interest.

Find m(angle) and give a trig equation

Answers

Step-by-step explanation:

Just using the Pythagoras theorem

I have trouble with these two questions, even i did my equation but i don’t get the answers

Answers

Answer:

$318.17, out of state college is $161.12 cheaper per month

Step-by-step explanation:

72*24 = 1728 + 410*4 = 1728 + 1640 = 3368 + 450 = 18/12 = $318.17

8700+650*9 = 8700 + 5850 = 14550/9 = 1616.66

8500+400*9 = 8500 + 3600 = 12100 + 1000 = 13100/9 = 1455.56

1616.67 - 1455.56= $161.11 (use $161.12)

2 squared plus b squared equal 256

Answers

Answer:

[tex]2^2+b=256[/tex]

b=252

Step-by-step explanation:

[tex]2^2+b=256[/tex]

4+b=256

b=252

I wasn't very sure about what you are asking, but I hope this helps!

B= 252
Hopes this helps

David can receive one of the following two payment streams:

i. 100 at time 0, 200 at time n, and 300 at time 2n
ii. 600 at time 1 0

At an annual effective interest rate of i, the present values of the two streams arc equal. Given v^n = 0.75941.

Determine i.

Answers

Answer:

3.51%

Step-by-step explanation:

From the given information:

For the first stream, the present value can be computed as:

[tex]= 100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}}[/tex]

Present value for the second stream is:

[tex]=\dfrac{600}{(1+i)^{10}}[/tex]

Relating the above two equations together;

[tex]100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}} =\dfrac{600}{(1+i)^{10}}[/tex]

consider [tex]v = \dfrac{1}{1+i}[/tex], Then:

[tex]\implies 100+200v^n + 300v^{2n} = 600 v^{10}[/tex]

where:

[tex]v^n = 0.75941[/tex]

Now;

[tex]\implies 100+200(0.75941) + 300(0.75941))^2 = 600 (v)^{10}[/tex]

[tex](v)^{10} = \dfrac{100+200(0.75941) + 300(0.75941))^2 }{600}[/tex]

[tex](v)^{10} = 0.7082[/tex]

[tex](v) = \sqrt[10]{0.7082}[/tex]

v = 0.9661

Recall that:

[tex]v = \dfrac{1}{1+i}[/tex]

We can say that:

[tex]\dfrac{1}{1+i} = 0.9661[/tex]

[tex]1 = 0.9661(1+i) \\ \\ 0.9661 + 0.9661 i = 1 \\ \\ 0.9661 i = 1 - 0.9661 \\ \\ 0.9661 i = 0.0339 \\ \\ i = \dfrac{0.0339}{0.9661} \\ \\ i = 0.0351 \\ \\ \mathbf{i = 3.51\%}[/tex]

Triangles ABC and DEF are similar. The height of
triangle DEF is 4 cm. Find the area of triangle ABC.
a. 1.5 cm
b. 2 cm
c. 6 cm
d. 3 cm

Answers

Option C

Height of DEF = 4cm

Therefore ratio = 1:2

Base = 3cm

Height of ABC = 2cm

Area of ABC = 1/2×b×h

= 1/2×3×4

= 6cm²

Option C

Answered by Gauthmath must click thanks and mark brainliest

t^2 +11t+30/t^2+5t-24 ÷ t^2+4t-21/t^2+10t+25

Answers

Answer:

t^2 + 30t - 15/t^2 + 25

Step-by-step explanation:

Which statement is true about the slope of the graphed line?

Answers

Answer: positive

Step-by-step explanation: because it is going up from the left to the right

The average cost for a product is C (x )equals 2 x plus 54 plus 98 over x, where C is measured in dollars and x is the number of units. How many units must be produced in order to minimize average cost

Answers

Answer:

7 units

Step-by-step explanation:

Given

[tex]C(x) = 2x + 54 + \frac{98}{x}[/tex]

Required

The units that minimize the average cost

[tex]C(x) = 2x + 54 + \frac{98}{x}[/tex]

Differentiate

[tex]C' = 2 + 0 - 98x^{-2}[/tex]

[tex]C' = 2 - 98x^{-2}[/tex]

Equate to 0 to solve for x

[tex]0 = 2 - 98x^{-2}[/tex]

Collect like terms

[tex]98x^{-2} = 2[/tex]

Divide by 98

[tex]x^{-2} = \frac{1}{49}[/tex]

Rewrite as:

[tex]\frac{1}{x^2} = \frac{1}{49}[/tex]

Take square roots of both sides

[tex]\frac{1}{x} = \±\frac{1}{7}[/tex]

Take multiplicative inverse of both sides

[tex]x = \±7[/tex]

Only positive value will produce critical value. Hence, 7 units will produce the minimum average cost

Midpoint for
(-2,3) and (4,-1)

Answers

Midpiont=(_2+3\2), (4+_1/2)

=2/2,6/2

=1,3

Other Questions
Organization costs must be expensed as incurred. b. A copyright should be considered an intangible with an indefinite life. c. The registration of a trademark or trade name lasts for 20 years and is nonrenewable. d. A patent should be amortized over the shorter of the inventor's life or its economic life. You are studying an enzyme that is inactivated by phosphorylation and create a mutant in which the threonine that is normally phosphorylated is replaced with glutamate. Predict the impact of this change on the activity of this enzyme. Group of answer choices In Exercises 5156, the letters a, b, and c represent nonzero constants. Solve the equation for xax + b = c Which of the following describes a sequential design? studying a group of five-year-olds over a 10-year period measuring motor abilities of a child when she is two years old and then measuring her abilities again when she is five years old comparing reasoning abilities of five-, eight-, and 10-year-olds studying groups of 10- and 15-year-olds and then studying these individuals two, four, and six years later Given: In Parallelogram ABCD, mA = (7y+13) m2B = (106 - 2x) mC = (10y - 32) m2D = (3x 4)What are the values of x and y decide whether each effect of technology brings people together or creates divisions . Move each effect into the correct the column An atom with 17 protons 17 neutrons and 17 electrons has a net charge of what Gotiable sells straw hats for $24 each. The April inventory purchases are summarized below. Gotiable sold 142 hats at a hat festival on April 28. Units Cost each Dollars Beg. Inv. 84 3 252 April 2 75 4 300 April 14 66 7 462 April 23 52 8 416 Assume that Gotiable uses the average cost method for inventory costing. 1. What is the average cost of one hat? (Round to the nearest penny (2 decimal points)). 2. What will be the dollar value of the inventory on the April 30th balance Sheet? (Round to the nearest dollar) 3. What will Gotiable report as Gross margin for the hats for the month of April? (Round to the nearest dollar) Sandra ride her bike 5 times as many miles as Barbara. If b, the distance Barbara rode equals 3.4 miles what is the correct expression and the distance Sandra rode Breweries were first found in ______ around 3700 B.C. Group of answer choices A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line? What is the primary difference, if any, between a web master and a web producer? While a web master maintains a companys websites, the web producer maintains a companys entire web-based system. While a web producer maintains a companys websites, the web master maintains a companys entire web-based system. While a web master maintains a companys web presence, the web producer maintains all technology at a company. While a web producer maintains a companys web presence, the web master maintains all technology at a company. Which type of wires (copper, aluminum, or string) are ferromagnetic metals? State why items such as neckchains or scarves may not be worn in the workplace Please help! Thank you Completez avec verbe etre: Tes chaises ________ cassees write a letter to invite your friend to your birthday party in french please help me I need Find x.A. 4B. 42C. 22D. 8 What about the structure of DNA allows it to copy itself?A. It is held together mostly by hydrogen bonds, which are easy to open for replicationB. It has enzymes built into the helix that make a copy when needed.C. It is double stranded, so each side serves as a template for a new strand.D. DNA is not copied, it is only passed down through each generation.