A function is given. Determine the average rate of change of the function between the given values of the variable.
h(t) = t2^2+ 2t; t = −1, t = 4

Answers

Answer 1
Formula for "average rate of change:"
              h(b) - h(a)
ARC = --------------------
                  b - a
                       [h(4)\ - [h(1)]
Here, ARC = --------------------
                            4 - 1

Please double check that you have copied down the function h(t) correctly.  What does t2^2 mean?

Related Questions

in need some help this question please answer all my point on the line

Answers

4) i believe the answer is B. angle bisector, since the line AD bisects angle BAC


5) It is R and S, and i believe the answer is C, converse of alternate interior angles theorem

hope this helps

If, P(x,y) is a point on the unit circle determined by real number δ, then tanδ = what

Answers

[tex]\bf sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r} =\cfrac{1}{csc(\theta)} \\ \quad \\\\ % cosine cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r} =\cfrac{1}{sec(\theta)} \\ \quad \\\\ % tangent tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x} =\cfrac{sin(\theta)}{cos(\theta)}[/tex]

[tex]\bf cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y} =\cfrac{cos(\theta)}{sin(\theta)} \\ \quad \\\\ % cosecant csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y} =\cfrac{1}{sin(\theta)} \\ \quad \\\\ % secant sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x} =\cfrac{1}{cos(\theta)}\\\\ -------------------------------\\\\ P(x,y)\implies \delta\qquad tan(\delta)=\cfrac{y}{x}[/tex]

Write the equation of a line in slope intercept form that goes through the point (-2,10 with a slope of -3

Answers

First, we must plug into point-slope form. 
Formula for point-slope: [tex]y-y1=m(x-x1)[/tex]
Plug in the values: [tex]y-10=-3(x+10)[/tex]
Solve.

[tex]y-10 = -3(x+10) y-10=-3x - 30 + 10 --------+10 y= -3x - 20 = y = m(x) + b = Slope intercept form. [/tex]

Thus, the answer is: [tex]y=-3x-20[/tex]

What is the area of the rectangle?

Answers

3x + 36 is the area of the rectangle 

By graphing the system of constraints, find the values of x and y that maximize the objective function. x+y<=11 2y=>x x=>0 y=>0 maximum for p=3x+2y a. p=10 1/3 b. p=7 1/3 c. p=21 d. p=29 1/3

Answers

Sketch the graph for

x = 0
y =  0
2y = x
x + y = 11

The region that qualifies all the inequalities are labeled R in the diagram below 

The maximum coordinate for P is the intersection of 2y = x and x + y = 11

Let 2y = x be EQ(1) and x + y = 11 is EQ(2)

Substituting EQ(1) into EQ(2)

2y + y = 11
3y = 11
y = ¹¹/₃ ⇒ Substitute this back into either EQ(1) or EQ(2)

2(¹¹/₃) = x
x = ²²/₃

The value of P when x = ²²/₃ and y = ¹¹/₃ is given

P = 3(²²/₃) + 2(¹¹/₃) = 22 + ²²/₃ = 29¹/₃

Answer: Option D



There are three consecutive odd integers whose sum is 159. what are the three numbers?

Answers

suppose the smallest one is x, then the next one is x+2, the third one is x+4
the sum is 159, so x+(x+2)+(x+4)=159
3x+6=159
3x=153
x=51
the three odd integers are; 51, 53, 55

1. the temperature in Montreal was -8C in New York the temperature was 11C. How many degrees warmer was the temperature in New York?

2. mike deposited $200 in to his bank account. He then wrote checks for $20 and $30. The he deposited $40 dollars more. Which of the following represents the changes in the value of mike's account?


Answers

1. (11)-(-8)=11+8=19
2.200-(20+30)+(40)=190
1. New York's temperature is greater by 19 degrees. 

add the absolute values |-8| + 11 = 19

2. The change in Mike's value is -10
(or 190, if you need the final value)
he is subtracting 20 + 30 (50)
he is adding +40 to the -50 (-10)

hope this helps!  have a great day.

The mass of the sun is about 2x10^27 metric tons or 2x10^30 kilograms. How many kilograms are in one metric ton

Answers

1 metric ton *2*10^30 kg/ 2*10^27 metric ton=1000 kg

What are the roots of the quadratic equation 0 = 2x^2 + 12x –14?

2, 12, –14
–7, 1
–1, 7
1, 6, –7
Can you explain what it is wanting or asking?

Answers

It is basically asking you to find where the equation crosses the d-axis. 2x^2 + 12x -14 = (x-1)(2x-14). x-1=0. x=1. 2x-14=0. 2x=14. x=7. The solution/roots/zeros would be 1 and 7

Answer:

-7, 1

Step-by-step explanation:

Given quadratic equation,

[tex]2x^2+12x-14=0[/tex]

By middle term splitting,

[tex]2x^2+(14-2)x-14=0[/tex]

[tex]2x^2+14x-2x-14=0[/tex]

[tex]2x(x+7)-2(x+7)=0[/tex]

[tex](2x-2)(x+7)=0[/tex]

By the zero product property,

[tex]2x-2=0\text{ or }x+7=0[/tex]

[tex]\implies x=1\text{ or }x=-7[/tex]

Hence, the roots of the given equation are -7 and 1.

Second option is correct.

A camera manufacturer spends $2,000 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $17 each. a. How many cameras must the company sell in one day to equal its daily costs? b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
250; $400
118; $656
170; $240
250; $850

Answers

17x = 2000+9x

8x = 2000

x = 2000/8 = 250 cameras

250+50 = 300

17*50 = 850

9*50 = 450

850-450 = 400


Answer: 250, 400

1. solve j/5=5/125.
a) 1/25
b) 1/5
c) 5
d) 25

2. state the x and y-intercepts of y=-4x-7.
a) x= -7, y= -7/4
b) x= -4, y= -7
c) x= -7/4, y= -7
d) x= -7, y= -4

3. solve b=6/13y + 12 for y.
a) y= 13/6 b-26
b) y= -6/13 b+15
c) y= -13/6b+26
d) y= 6/13 b-15

Answers

1.
[tex] { \frac{j}{5} } = { \frac{5}{125} } \\ j= 5 \times { \frac{5}{125} } \\ j= { \frac{5}{25} } \\ j={ \frac{1}{5} } [/tex]

Answer is B.

2.
y = -4x - 7

x-intercept where y = 0,
0 = -4x - 7
-4x = 7
x = -7/4

y-intercept where x = 0,
y = -4(0) - 7
y = -7

Answer is C.

3.
[tex] b= { \frac{6}{13y} }+ 12 \\ b - 12 = { \frac{6}{13y} } \\ 13y(b - 12)=6 \\ 13by-156y=6 \\ y(13b-156) = 6 \\ y= { \frac{6}{13b-156} } [/tex]

Answer is none of the above.

Your question probably has typo errors? Try asking the third question again :)

You have a $50 bill. you and your friend ordered two cheeseburgers for $4.25 each, two fries for $1.28 each, and two colas for $1.98 each. including 4% sales tax and 15% tip, what is the change you will receive from $50?

Answers

Answer: 32.13

Step-by-step explanation:

Answer:

The answer is:  $32.13

A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential growth formula. round your answer to the nearest million. P=Ae^kt

Answers

The initial population is
P₀ = 94 million in 1993

The growth formula is
[tex]P(t) = P_{0}e^{kt}[/tex]
where P(t) is the population (in millions) after t years, measured from 1993.
k = constant.

Because P(5) = 99 million (in 1999), 
[tex]94e^{5k} = 99 \\e^{5k}=1.0532 \\ 5k = ln(1.0532) \\ k = 0.010367[/tex]

In the year 2005, t = 12 years, and
[tex]P(12)=94e^{0.010367*12} = 106.45[/tex]

Answer: 106 million (nearest million)

What conversion factor fraction is used to convert inches to feet?

Answers

1foot/12inches, the targeted unit on the top, the to-be-converted unit on the bottom

Answer:

C

Step-by-step explanation:

Notice that on C 24:2, 48:4 72:6, etc

Two tourists went on a hike at dawn. One went from a to b and another one went from b to a. They met at noon but did not stop and continued walking maintaining same speed for the whole trip. One finished his hike at 4pm in B and another one came to A at 9 pm. At what hour was dawn that day?

Answers

Dawn was at 6 am. Variables a = distance from a to passing point b = distance from b to passing point c = speed of hiker 1 d = speed of hiker 2 x = number of hours prior to noon when dawn is The first hiker travels for x hours to cover distance a, and the 2nd hiker then takes 9 hours to cover that same distance. This can be expressed as a = cx = 9d cx = 9d x = 9d/c The second hiker travels for x hours to cover distance b, and the 1st hiker then takes 4 hours to cover than same distance. Expressed as b = dx = 4c dx = 4c x = 4c/d We now have two expressions for x, set them equal to each other. 9d/c = 4c/d Multiply both sides by d 9d^2/c = 4c Divide both sides by c 9d^2/c^2 = 4 Interesting... Both sides are exact squares. Take the square root of both sides 3d/c = 2 d/c = 2/3 We now know the ratio of the speeds of the two hikers. Let's see what X is now. x = 9d/c = 9*2/3 = 18/3 = 6 x = 4c/d = 4*3/2 = 12/2 = 6 Both expressions for x, claim x to be 6 hours. And 6 hours prior to noon is 6am. We don't know the actual speeds of the two hikers, nor how far they actually walked. But we do know their relative speeds. And that's enough to figure out when dawn was.

Which biconditional statement is true?
A. A number is divisible by 9 if and only if it ends in 3.
B. A quadrilateral is a square if and only if it has four right angles.
C. The sum of two integers is positive if and only if the two integers are positive.
D. A number is an even number if and only if it is divisible by 2

Answers

Let us evaluate the given statements.
A, A number is divisible by 9 if and only is it ends in 3.
     23/9 is not divisible.
     FALSE

B.  A quadrilateral is a square if and only if it has four right angles.
     A rectangle is a quadrilateral with four right angles, but it is not a square.
     FALSE

C. The sum of two integers is positive if and only if the two integers are
     positive.
     12 + (-10) = 2 (positive).
     FALSE

D. A number is an even number if and only if it is divisible by 2.
     Thi is true by definition.
     TRUE 

Answer: D

Among the given options, the true biconditional statement is Option D: A number is an even number if and only if it is divisible by 2. This matches the true nature of a biconditional statement where both parts must have the same truth value.

The question posed is concerned with identifying the true biconditional statement among the given options. A biconditional statement is true if and only if both parts have the same truth value. We'll examine each option carefully.

Option A: A number is divisible by 9 if and only if it ends in 3. This statement is false because divisibility by 9 depends on the sum of the digits of the number, not just the last digit.Option B: A quadrilateral is a square if and only if it has four right angles. This statement is not entirely true because a rectangle also has four right angles but is not necessarily a square.Option C: The sum of two integers is positive if and only if the two integers are positive. This is false because the sum can also be positive if one integer is sufficiently larger than the negative of the other one.Option D: A number is an even number if and only if it is divisible by 2. This is a true biconditional statement. A number is considered even if it can be divided by 2 without leaving a remainder (with both having the same truth value).

After reviewing the options, the correct answer is Option D.

Which is a graph of f(x)=4(1/2)x

Answers

We know that the basic equation of exponential equation equation is; 

y=ab^x 

Where a is the y-intercept/starting point and b is the value that x exponentially grows or decays. 

From the given equation, the two graphs with other intercepts (not 4) can be removed. 

Since b is between 0 and one, this function should be decaying. 

Next calculate the value of x when y=1. 

1=4(0.5)^x 
1/4=(1/2)^x 
log₀₋₅(1/4)=x 
2=x

Check which of the graphs have y=1, x=2. This would be the second graph, which would represent the equation y=4(0.5)^x 

Hope I helped :) 

In this exercise we have to be aware of the type of graph we have and identify its formula, like this:

The second graph

As it is a graph of the equation of an exponential, we have that its form is given by:

[tex]y=ab^x[/tex]

Where:

y-intercept/starting point b is the value x exponentially grows or decays.

Calculating the value of X when Y is equal to 1, we have:

[tex]1=4(0.5)^x \\1/4=(1/2)^x \\log_{0.5}(1/4)=x \\x=2[/tex]

See more about graphs at brainly.com/question/14375099

simplify 7-(-12)-5

a -10
b 0
c 14
d 24

Answers

7-(-12)-5

PEMDAS

7-(-12)-5

7-7=0

=0

So your answer will be B 0.
the answer is 79.79.79.79.79


Which of the following elements is the most reactive?

Chlorine
Bromine
Fluorine
Helium

Answers

i think its the 2nd one 

What is the value of x?
Enter your answer in the box.

Answers

Answer:

x = 9 and y = 5

Step-by-step explanation:

From the given figure :

In ΔLNM ,

LN = NM = LM

This shows that all the sides of the triangle are given to be equal.

And the triangle whose all sides are equal is called equilateral triangle and in an equilateral triangle the measure of its each angle is 60°

⇒ ∠L = ∠N = ∠M = 60°

Now, ∠N = 60°

⇒ 7x - 3 = 60

⇒ 7x = 63

⇒ x = 9

Also, ∠M = 60°

⇒ 11y + 5 = 60

⇒ 11y = 55

⇒ y = 5

Answer: x=9

Step-by-step explanation:

i did the test and got it right lol

Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.

Answers

The measure of the angle in question is 18 degrees, as found by setting up an equation based on the relationship between an angle and its complement, and solving for the angle.

To find the measure of an angle that is 18 degrees less than one-half of the measure of its complement, first let's define the angle as x. Since the angle and its complement add up to 90 degrees, the complement is 90 - x. The given information tells us that x is 18 degrees less than half of its complement. Therefore, we can set up the equation:

x = (1/2)(90 - x) - 18

Doubling both sides gives:

2x = 90 - x - 36

Adding x to both sides and adding 36 to both sides gives:

3x = 54

Dividing by 3, we find that:

x = 18 degrees.

Therefore, the measure of the angle is 18 degrees.

what is the true hourly wage of a job that pays $18 per hour and allows 20 hours of paid time off for every 500 hours worked ? show your work

Answers

(18 * 520) / 500 = 9360/500 = 18.72 per hr
Answer:

The true hourly wage of a job  is:

                     $ 18.72 per hour

Step-by-step explanation:

The pay per hour is: $ 18

Also, it is given that: The job allows 20 hours of paid time off for every 500 hours worked.

This means he will be paid for 520 hours of work

but the true hourly wage will be calculated on the basis of 500 hours.

The wage for 520 hours of work will be: $ (18×520)= $ 9360

and the true hourly wage is:

Ratio of wage for 520 hours to 500 hours

i.e.

[tex]=\dfrac{9360}{500}\\\\\\=\dfrac{936}{50}\\\\=\$\ 18.72\ \text{per\ hour}[/tex]

There were 67 candles on grandmas bBirthday cake and 26 left in the box how many candles birthda birthday cake and 26 left in the box how many candles were there in all

Answers

it is 93 because you are subtracting 67+ 26 and you will then get 93 candles in all
Final answer:

To find the total number of candles, you have to add the number of candles on your grandma's birthday cake, which are 67, to the number of candles left in the box, which are 26. This brings the total to 93 candles.

Explanation:

The question involves a mathematical process known as addition. In this situation, you have 67 candles on your grandma's birthday cake and 26 more in a box. To find the total number of candles, you simply need to add the number of candles on the cake to the number of candles in the box.

So, 67 (candles on the cake) + 26 (candles in the box) = 93 candles in total. Hence, you have 93 candles in all.

Learn more about Addition here:

https://brainly.com/question/40265821

#SPJ2

Can I get some help on these please ?

Answers

Q1
Divide each distance by its time to find the speed for each driver.
T: 380 km / 4 hr = 95 km/h
M: 530 km / 5 hr = 106 km/h
Martine's average speed was greater.

Q2
Bronze to aluminum is 25:2
The alloy is bronze plus aluminum, so by adding 25 + 2 you get 27.
Bronze to total is 25:27

25 is 27 as x is to 55

25/27 = x/55

27x = 25 * 55

x = 50.926

Answer: 50.926 kg of bronze

Q3
Manipulative toys to art toys is 30:40
Total toys = 30 + 40 = 70

manipulative toys are 30 out of 70

30/70 * 100 = 42.9%

There are 5 red marbles four blue marbles and three yellow marbles in a bag what is the probability of a blue marble being randomly chosen

Answers

total number of marbles : 12
amount of blue marbles : 4

4/12 = 1/3 or 33%

the probability of choosing a blue marble 1/3 or 33%

Solve for n.

3(n+6)≥3n+8


no solution
all real numbers
n≥7
n≥23

Answers

3(n+6)   ≥    3n+8

Start by distributing....

3n +  18  ≥    3n + 8 

Subtract 3n from both sides to get the n's on the same side....

18  ≥    8 

There are no solutions because 18 is not less than or equal to 8

Answer:

The correct option is B) all real numbers.

Step-by-step explanation:

Consider the provided inequity.

[tex]3(n+6)\geq 3n+8[/tex]

We need to solve the inequity for n.

[tex]3(n+6)\geq 3n+8[/tex]

[tex]3n+18\geq 3n+8[/tex]

Subtract 3n from both sides

[tex]3n-3n+18\geq 3n-3n+8[/tex]

[tex]18\geq 8[/tex]

Which is true for any real number. As 18 is greater than 8.

Hence, the value of n is all real numbers.

Thus the correct option is B) all real numbers.

What z-score values form the boundaries for the middle 60% of a normal distribution?​?

Answers

This would be -0.84  and 0.84

Which of the following is the coefficient in the algebraic expression 22y3 + z

Answers

the coefficient in the expression is y because it is attached to 22

Answer:

Step-by-step explanation:

the Coefficient is 22 because its attached to the variable Y

The original price of the DVD is nine dollars the sale price is 80% of the price what is the sale price of the DVD?

Answers

multiply $9 by 80%

80% = 0.80

9 * 0.8 = 7.20

 subtract that from original price

9 - 7.20 = 1.80

 Sale price is $1.80

Let's rewrite the information then figure out the answer. 

DVD: $9.00 originally but on sale with an 80% discount. 
80%=0.80
9.00(0.80) = $7.20
$9.00 - $7.20 = $1.80

Thus, the sales price is: $1.80

If a+bi is a zero of a function and the coefficients of the polynomial are real, what will be the other complex zero of the function?

1. -a + bi

2. a - bi

3. -a - bi

4. a

Answers

the conjugate of a binomial is simply the same binomial with a different sign in the middle, so the conjugate of x + y, is just x - y, and the conjugate of w - z is just w + z and so on.

now, complex roots never come all by their lonesome, her sister, the conjugate, is always along with her, so if the root a + bi is there, then her sister a - bi is also there too.
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