h(x)=1/8x^3-x^2 What is the average rate of change of h over the interval -2≤x≤2?

Answer:

5 is an integer, but not a whole number.

answer: D

Step-by-step explanation:

Answer:

B: -3, -2, 2, 3

Step-by-step explanation:

it is correct

Answer:

[tex]\boxed {8 \times 58}[/tex]

Answer D is correct

Step-by-step explanation:

Twice a certain number is 58

[tex]\red {2 \times 58}[/tex]

Four times that number will be

[tex]\green{ 2\times 58 \times 4 }\\ = 8 \times 58[/tex]

Answer:

The answer you are looking for is 8 time 58 or D

Step-by-step explanation:

Hope this helped

Answer:

Abigail was four times faster in the skateboard than when she is walking

Step-by-step explanation:

Let the total distance to travel be d

distance traveled on skateboard = 2/3 * d = 2d/3

distance walked = 1/3 * d = d/3

So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.

Now, the speed on both trips is distance/time

For the snowboard trip, speed is 2d/3/t = 2d/3t

For the walking trip, distance would be;

d/3/2t = d/6t

So let’s compare these two speeds.

Obviously the speed on the skateboard is greater than that walking.

So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.

Thus, mathematically we have

2d/3t divided by d/6t

So that would be;

2d/3t * 6t/d = 4

So this means she was four times faster on the skateboard

Step-by-step explanation:

The area of triangle is 53.5m2

Answer: 118.2977 sq. m.

Step-by-step explanation:

Step 1: Calculate "s" (half of the triangles perimeter):

s = a+b+c / 2

s = (13 + 18.2 + 22.3) / 2

s = 26.75

Step 2: Then calculate the Area:

Herons formula

A = √( s(s-a)(s-b)(s-c) )

A = √(26.75 (26.75 - 13)(26.75-18.2)(26.75-22.3)

A = (3√9951535) /80

A = 118.2977 sq. m.

Answer:

Solution,

Diameter(d)= 16.4 miles

Radius(r)= 16.4/2= 8.2

Circumference of the given circle= ?

Now,

Circumference of circle:

[tex]2\pi \: r[/tex]

= 2 * 3.14 * 8.2

= 51.496

= 51.5 miles

Hope this helps...

Good luck on your assignment..

Answer:

51.5 miles

Solution,

Diameter(d)= 16.4 miles

Radius(r)= 16.4/2= 8.2

Circumference of the given circle= ?

Now,

Circumference of circle:

= 2 * 3.14 * 8.2

= 51.496

= 51.5 miles

Answer:

$175.

Step-by-step explanation:

There are 100 centimeters in  meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.

So the required cost

= 0.07 * 100,000 / 40

= 7000 / 40

= $175.

Answer:

Hello! :) The answer will be under “Explanation”

Step-by-step explanation:

As my answer I got $175

1km would equal to 100,000 cm

1m would be 100cm

That means 1 km = 100 000 cm

Now you have to divide.

100,000 divided by 40 equals to 2,500($0.07)

=$175

If we do the math correctly we can now see that the answer should be $175

Hope this helps! :)

By:BrainlyMember ^-^

Good luck!

Answer:

Well, I think 5.

Because, 2×2×5 is Multiplied by 5 to complete pair

Which that given the number become perfect square.

So, The best choice is 5.

Good Luck!!~

Answer:

8 quarters

Step-by-step explanation:

4 quarters for a dollar

did u really need help on this question

Answer:

8 quarters are in two dollars

Step-by-step explanation:

There is four quarters in one dollar so when you have two there is eight quarters total.

Answer:

9/7

Step-by-step explanation:

Simply plug in our known variables into the expression and evaluate:

(-3 x -3)/7

9/7

Answer:

15d + 50 = 125

15d = 75

5 days

Step-by-step explanation:

Her total must equal $125.

She has $50 so far.

50 + _____ = 125

In the blank, we will put what she will earn by walking the dogs.

Each day she will earn $15. In d number of days, she will earn 15d.

The equation is:

50 + 15d = 125

15d + 50 = 125

We can subtract 50 from both sides to get

15d = 75

Now we solve the equation to find the number of days.

We divide both sides by 15.

15d/15 = 75/15

d = 5

She will need to walk the dogs for 5 days.

B, A, C are the answers

Answer: C

Step-by-step explanation:

G(x)= 1/4 x²

A fraction causes the parabola to become wider

Function [tex]f(x) = x^{2}[/tex] represents the graph of parabola while  [tex]g(x) = \frac{f(x)}{4}[/tex] represents the horizontally stretched  form of f(x). Parabola become wider.

" Graph is defined as the representation of the relation between two variable on the coordinate plane along x-axis and y-axis."

According to the question,

Given function

[tex]f(x) = x^{2}[/tex]

g(x) is defined as divide f(x) by 4.

[tex]g(x) = \frac{f(x)}{4}[/tex]

       [tex]= \frac{x^{2} }{4}[/tex]

Graph becomes wider as shown in the graph drawn with comparison of f(x) and g(x),

Hence, Option(C) is the correct answer.

Learn more about graph here

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Answer:

1/3

Step-by-step explanation:

In math, to find the probability of an event we need to take the total amount of favorable outcomes and divide this number between the total amount of possible outcomes.

In this case Paul has 15 T-shirts and he takes one of his blue T-shirts at random. We can see that he has a total of 3 blue shirts, thus, the total amount of possible outcomes is 3.

Now, we need to find the probability that the T-shirt is light blue, he only has 1 light blue t-shirt so the number of favorable outcomes is 1.

If we divide the number of favorable outcomes between the number of possible outcomes we have [tex]\frac{1}{3}[/tex]. Thus, the probability that the T-shirt is light blue is 1/3

Answer:

The coefficients are b and a

The coefficients in the expression are 3 and 7.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

9 - 4 + 3b + 7a

So, from the given expression we can see that there are 4 terms, 2 constants and 2 coefficients.

The coefficient of b is 3,

and coefficient of a is 7.

So, there are 2 coefficients in the given expression.

Thus, the coefficients in the expression are 3 and 7.

To learn more about expressions :

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note: I wasn't sure about statement 2. I think your teacher made a typo with that.

========================================================

Let's go through the five statements to see if they are true or not.

--------------------------------------------------

Statement 1) The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3"

This is a true statement as conditionals are of the basic form "if hypothesis, then conclusion". A hypothesis is an educated guess or assumption, and it leads to the conclusion which is often directly (or somewhat directly) tied to the hypothesis.

--------------------------------------------------

Statement 2) An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

This is a bit baffling as this is an identical copy of the statement Galen wrote at the top. It seems like your teacher made a typo here (probably didn't realize they cut/pasted the wrong thing). I'm not sure what to do here. I would ask your teacher for clarification.

--------------------------------------------------

Statement 3)  The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

This is false. It is indeed a conditional even if it doesn't fit the exact parameters of "if ..., then ...." format. You could have a conditional that reads "it gets wet outside if it rains", which can be rearranged into "if it rains, then it gets wet outside". Both are considered conditionals even though the first one doesn't have "then".

--------------------------------------------------

Statement 4) The statement can be proven true or false

This is true. We can prove Galen's statement to be true or false. In this case, it can be proven to be true. This is one of the many divisibility rules.

--------------------------------------------------

Statement 5) The conclusion of the statement is written before the hypothesis.

This is false. The conclusion in this case is "the original number is divisible by 3" which is written after the hypothesis. There is a way to write the conclusion first by saying "a number is divisible by 3 if the sum of its digits are divisible by 3". But that isn't the case here.

Answer: 0.0062

Step-by-step explanation:

We assume that the height of a Clydesdale horse is normally distributed.

Let x denotes the height of the Clydesdale horse

Given: Mean : [tex]\mu=72\ inches[/tex]

Standard deviation: [tex]\sigma=1.2\ inches[/tex]

Now, the probability that a Clydesdale is greater than 75 inches tall :

[tex]P(X>75)=P(\dfrac{X-\mu}{\sigma}>\dfrac{75-72}{1.2})\\\\=P(z>2.5)\ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(z\leq2.5)\\\\=1- 0.9937903\ [\text{By z-table}]\\\\=0.0062097\approx0.0062[/tex]

Hence, the required probability is 0.0062.

Answer:

12 as well 45 78 u want to go 89

Answer:

  see below

Step-by-step explanation:

The positive/negative information tells you the x-intercept is (-8, 0). The y-intercept information tells you the y-intercept is (0, 4). Those two points are sufficient to let you draw the graph with a drawing tool.

__

A "linear function" is a straight line. This one goes through the points listed above.

Answer:

Step-by-step explanation:

Given the height h (t )of the sunglasses after t seconds modeled by the polynomial function h(t ) =  -16t²+ 4096

Since the sunglasses hit the ground, the height of the glass on the ground will be 0feet. Substituting h(t)= 0 into the formula to know the time it takes the glass to hit the ground will give;

0 = -16t²+ 4096

0+16t² = 4096

16t² = 4096

Dividing both sides by 16;

16t²/16 = 4096/16

t² = 256

Taking the square root of both sides

√t² = √256

t = 16 seconds

This means that the sunglasses will hit the ground after 16 seconds

Answer:

Stepdkdkdndd-by-step explanation:

Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

Answer:

54.6 cm : B

Step-by-step explanation:

Mathematically the area of a rectangle is 2( l + b)

So in practical terms we only need the measure of two sides as we have 2 equal sides for a rectangle.

We can see that we have two right angles on each sides

Now to find b, we can use trigonometric ratios

For each of the rectangles, the diagonal represents the hypotenuse

Mathematically;

sin 30 = b/20

From triangle ABC

b = 20 sin 30 = 20 * 0.5 = 10 cm

Now, to get l

Mathematically;

Sin 60 = l/20

l = 20 sin 60 = 17.32 cm

So the perimeter is;

2(10 + 17.32)

2(27.32) = 54.64 cm which is 54.6 to the nearest tenth

Answer:

12 and 2100

Step-by-step explanation:

(a)

Divide 4800 by 5 for pens per hour produced by 80 machines.

4800 ÷ 5 = 960 pens per hour

Divide 960 by 80 for pens per hour produced by 1 machine.

960 ÷ 80 = 12

Thus 1 machine produces 12 pens per hour

(b)

Multiply 12 by 7 for pens produce in 7 hours by 1 machine.

12 × 7 = 84 pens per hour

Multiply 84 by 25 for pens produced in 1 hour by 25 machines.

84 × 25 = 2100

Thus 2100 pens are produced by 25 machines in 1 hour

Answer:

The system of equations that make the definition are;

x + y = 10 •••••••••(i)

6x + 8y = 72 ••••••••(ii)

Where x refer to the number of packages of AA battery bought and y refers to the number of packages of AAA batteries bought

Step-by-step explanation:

Here, we are to write system of equations that can be solved which will help give the number of packages of each type of battery bought.

Let the number of AA batteries bought be x while the number of AAA batteries bought be y;

Since he bought a total of 10 packages,

What this means is that;

x + y = 10 •••••••••(i)

We are also told that the AA batteries are sold in packages of 6, so the total number of AA batteries bought is; 6 * x = 6x

Also, we know that the AAA batteries are sold in packages of 8, so the total number of AAA batteries bought is 8 * y = 8y

We add both to give the total number of packages.

Mathematically, that would be;

6x + 8y = 72 •••••••••(ii)

By solving both equation set, we shall have the number of each types of batteries bought

Answer:

27 :)

Step-by-step explanation:

$27 it D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

64^1/3

Rewrite 64 as 4^3

4^3 ^ 1/3

We know that a^b^c = a^(b*c)

4 ^(3*1/3)

4 ^1

4

Answer:

4

Step-by-step explanation:

4x4x4=64

64^1/3 = (4 x 4 x 4)^1/3 = 4

The value obtained after dividing x³+48x-64-12x² by x²+16-8x will be (x-4).

The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

It is given that,

= ( x³+48x-64-12x²)  / (x²+16-8x)

Using the identity (a-b)² = a²+b²-2ab as,

⇒(x²+16-8x) = (x-4)²

= ( x³+48x-64-12x²)  / (x-4)²

Using the identity (a-b)³ = a³ -3a²b +3a²b -b³

⇒ ( x³+48x-64-12x²) = (x-4)³

Substitute the value as

=(x-4)³ / (x-4)²

=(x-4)

Thus, the value obtained after dividing x³+48x-64-12x² by x²+16-8x will be (x-4).

Learn more about the quotient here,

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Answer:

3628800

Step-by-step explanation:

10 students were trying to decide in how many ways they can arrange themselves from left to right.

There are 10 spaces and 10 students are to be sit.

Let us think of the first student.

10 empty spaces are there, so first student has 10 options.

Now, there are 9 empty spaces, so second student has 9 options.

Now, there are 8 empty spaces, so third student has 8 options.

Now, there are 7 empty spaces, so fourth student has 7 options.

:

:

Last student will have only 1 option.

So total number of ways [tex]= 10 \times 9 \times 8 \times 7 \times .....\times 1 = 3628800[/tex]

OR

Simply we can use the formula:

Number of ways to arrange n persons in a straight line = [tex]n![/tex] = [tex]10! = 3628800[/tex]

Answer:

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Step-by-step explanation:

In ascending order: (starting from the smallest)

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Answer:

.0604 < .604 < .06< .64 < .6

Step-by-step explanation:

.6= 6/10

.64=.64/100

.06=6/100

.604=604/1000

.0604=604/10000

Answer:

(4, -2.5)

which agrees with the third answer you typed: (4, negative 2 and one-half)

Step-by-step explanation:

If this is referred relative to the origin of coordinates (0, 0), then moving to the right 4 units makes x = 4.

Moving down 2.5 units makes y = -2.5

then the point you reach on the plane is given by the coordinates: (4, -2.5)

Answer:

Step-by-step explanation:

Four to the right means that x := 4

2.5 units down means that y = -2.5

The answer is (4,-2.5)

or

(four, and minus 2.5)

Is that the third one? I think it is.