f(x) = x^2-3
What is the average rate of change on the interval [-5, 2] ?

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

Both are supplementary

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 78}}{\left( \cfrac{5}{100} \right)78}\implies 3.9[/tex]

Answer: Shawna made 8 baskets worth 3 which mean it's 24. if Daryl made the same shots but worth 2 it would equal 16 . 8 x 2=16

Step-by-step explanation: I can see that 16 is not an answer choice so but if they mean that 2 was taken off of 8 then 6x2=12 so 12 would be your answer. hope this helped :)

Answer:

[tex]61^{2}[/tex]

Step-by-step explanation:

So area equals {(B+b) x h} / 2 the two bases are 4 and 10 which is 14 the height is 8 so 14 times 8 is 112. 112 divided by 2 is 61.  I hope this helps.

Answer:

5.60 pounds each

Step-by-step explanation:

This is the dry mixture problem.

Let x = the number of pounds of the first type of candy

Therefore, number of pounds of second type of candy = 10-x

Value of first candy + value of second candy = value of mixture

Value of any candy = cost per pound of candy * weight of candy

Thus:

4x + 6(10 - x) = 5.60(10)

4x + 60 - 6x = 56

-2x + 60 = 56

-2x = -4

x = -4/-2

x = 2

Therefore, the number of pounds of first type of candy = 2 pounds

The number of pounds of second type of candy = 10 - 2 = 8 pounds

Check

$4(2) + $6(8) =

           8 + 48 = $5.60(10)

               $56 = $56

Answer:

See below ↓

Step-by-step explanation:

11)

12)

13)

There is a rule on Brainly which states you can only answer 3 questions maximum per post.

So I can only help with you this much.

Hope this helped~

Answer:

Its me Viktor Kozhanov may I  have brainliest please

I also answered all you questions so give brainliest to those

as well

Step-by-step explanation:

Radius of Circular Base Of Cone= 8m

Total Surface Area= 350m²

Considering Slant Height as l

We know,

Total Surface Area= Curved Surface Area of Cone+ Area of circular Base

i.e.,

[tex]350 { \text{m}}^{2} = \pi \times r \times l + \pi \times {r}^{2} [/tex]

[tex]350 = \pi \times r(l \times r) \\ \\ \implies 350 = 3.142 \times 8(l + 8) \\ \\ \implies \frac{350}{3.142 \times 8} = l + 8 \\ \\ \implies 13.924 = l + 8 \\ \\ \implies l = 13.924 - 8 \\ \\ \therefore l = 5.924 \: \text{cm}[/tex]

So, Slant Height= 5.924 cm

Answer:

B

Step-by-step explanation:

5×sqrt(8)×3×sqrt(4) = 15×sqrt(8)×sqrt(4) = 15×sqrt(8)×2 =

= 30×sqrt(8) = 30×sqrt(4×2) =

= 30×2×sqrt(2) = 60×sqrt(2)

An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block.

Instructional activities are routine segments of instruction that show how the teacher and students will participate and interact with materials and content.

An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block. For example, if one wants to teach students about fractional parts that are divided equally into twelfths, the analog clock can be ideal.

Learn more about fractions on;

https://brainly.com/question/78672

The function of the object height is an illustration of a projectile motion

The object will never hit the ground

The function is given as:

h=16t^2+80t+96.

When the object hits the ground, h = 0

So, we have:

16t^2+80t+96 = 0

Divide through by 16

t^2+5t+6 = 0

Expand

t^2 + 3t + 2t + 6 = 0

Factorize

t(t + 3) + 2(t + 3) = 0

Factor out t + 3

(t + 2)(t + 3) = 0

Solve for t

t = -2 or t = -3

The time (t) cannot be negative.

Hence, the object will never hit the ground

Read more about projectile motion at:

https://brainly.com/question/1130127

Answer:

6

Step-by-step explanation:

did this question in savvas

Answer:

90,649

Step-by-step explanation:

Hey! So I'm going to help you through this problem in two ways! One with a calculator where you'll just get the answer, and also handwritten, just in case you aren't able to use a calculator on a future assignment or test! :)

By calculator, 247 × 367 = 90,649

I hand calculated in the image below, and with each step after multiplying the number in ones place in the bottom number (the lowest number) by each of the top numbers (the biggest number), I add an extra zero before adding my multiplication for each place!

So! With 2 ways to do it depending on your class or preference, your answer is 90,649 :)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

90,649

Step-by-step explanation:

        hope this helps!!!!!

The answer is C 132oz

Answer:

132 ounces

Step-by-step explanation:

1 pound = 16 ounces

8 1/4 x 16 = 132

The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.

Answer:

7 Units^2

Step-by-step explanation:

If we add an exact copy of the triangle, we can make a parallelogram.

Then we can use the parallelogram's area to figure out the triangle's area.

Hint #22 / 4

The original triangle has \dfrac{1}{2}

2

1

​

start fraction, 1, divided by, 2, end fraction the area of the parallelogram we just made.

Hint #33 / 4

\begin{aligned} \text{Area of parallelogram} &= \text{base} \times \text{height}\\\\ \text{Area of triangle} &= \dfrac{1}{2} \times \text{base} \times \text{height}\\\\ &= \dfrac{1}{2} \times 7 \times 2\\\\ &= \dfrac{1}{2} \times 2 \times 7\\\\ &= 1 \times 7\\\\ &= 7 \end{aligned}

Area of parallelogram

Area of triangle

​

=base×height

=

2

1

​

×base×height

=

2

1

​

×7×2

=

2

1

​

×2×7

=1×7

=7

​

Hint #44 / 4

The triangle has an area of 777 units^2

2 squared.

The area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle shown in the figure:

The base length = 7 units

The height of the triangle = 2 units

Area of the triangle = (7x2)/2

= 7 square units

Thus, the area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.

Learn more about the triangle here:

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#SPJ2

Answer:

40.2 years

Step-by-step explanation:

Use the compound amount formula A = P(1 + r/n)^(nt), in which n represents the number of compounding periods per year.  In this case n = 4.  Solve the following equation for t (years):

$10,000 = $2,000(1 + 0.04/4)^(4t):

This is equivalent to

          5   =  1.01^(4t).  Taking the natural logarithm of both sides, we get:

ln 5 = 4t·㏑ 1.01, or

    ln 5                 1.609

-------------- = t = -------------- = 40.2 years

4·ln 1.01             4(0.010)

Answer:

What shape is the object in question?

Answer:

1.6

Step-by-step explanation:

There are 5 points from -1 to -2 if you count by 0.2 then you get 0.6 put that with the numbers on the line and you get 1.6

Answer:

(There's actually a few ways of solving this, but here's one)

Multiplying the second equation by 2.

EDIT: Because the question says it will eliminate a variable "when combined", implying adding the systems together. The actual correct answer is multiplying the second equation by -2.

(multiplying the second equation by -2 is the actual answer, my apologies)

Step-by-step explanation:

So it's clear that they are referring to the elimination method and not the substitution method for solving systems of equations.

In the elimination method, you subtract 2 equations in the hopes of the elimination of a variable.

If you multiply the second equation, 2x + 6y = 24, by 2, you get, 4x + 12y = 48.

This is helpful because when you subtract this from the first one, you eliminate x.

4x + y = 4

-(4x + 12y = 48)

is

-11y = -44

Area = length x width

Area = 1.25 x 3.4 = 4.25 square meters

Answer:

RADIUS

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

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

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

#CarryOnLearning

Answer:

1 = 0.56
2 = ‭0.43‬
3 = ‭0.55‬
4 = ‭0.49‬

5 = 0.70

Step-by-step explanation:

I not sure

Answer:

D

Step-by-step explanation:

I calculated the area for 54 feet and then for 0.5 feet using the equation [tex]A=\sqrt{\frac{3}{4} }a^{2}[/tex] , where a is the size and then divided first area by second area

Probability and statistics are two branches of mathematics that are used to calculate the possibility of occurrence of an event or trend of data.

Probability is a term to refer to the science that studies the measurement of the certainty of occurrence of an event. Generally, the probability of occurrence is associated with a value between 0 and 1, where an impossible event corresponds to zero and a certain event corresponds to one.

Statistics is a term to refer to a branch of mathematics that studies different phenomena related to data such as:

Another outstanding aspect of statistics is that it is a formal deductive science framed in the formal scientific method.

Learn more about statistics in: https://brainly.com/question/8058700

The similar circles P and Q can be made equal by dilation and translation

From the figure, we have the centers to be:

P = (-5,4)

Q = (6,8)

The distance is then calculated using:

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have:

d = √(6 + 5)^2 + (8 - 4)^2

Evaluate the sum

d = √137

Evaluate the root

d = 11.70

Hence, the horizontal distance between the center of circles P and Q is 11.70 units

We have their radius to be:

P = 2

Q = 5

Divide the radius of Q by P to determine the scale factor (k)

k = Q/P

k = 5/2

k = 2.5

Hence, the scale factor of dilation from circle P to Q is 2.5

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

3(x-7)(x+7)

Step-by-step explanation:

In order to completely factor, begin by factoring out the greatest common factor.  Both terms are divisible by 3 so 3 is the greatest common factor.  3(x^2-49).  In order to completely factor, recognize x^2-49 as the difference of squares.  Factor that into 3(x+7)(x-7).

Answer:

3(x+7)(x-7)

Step-by-step explanation:

Hello!

We can start by taking out the coefficient of 3 by factoring it out.

Factor:

The process of removing a factor or coefficient by dividing it out from the expression.

Factor the expression:

Remove the coefficient of 3

Factor using the product rule: a² - b² = (a+b)(a-b)

There's your factored expression! 3(x+7)(x-7)

Answer:

Jonny have 100 dollars and he gave his 2 friend's $20 how much does he have left?

Step-by-step explanation:

100-40=60

Jonny has 60 dollars left

Answer: D

Step-by-step explanation:

The shared side and sides AC and AD are congruent, as well as the included angles, so the triangles are congruent. This means that by CPCTC, segments BC and BD are congruent, and thus AB bisects CD. Therefore, AB is a diameter.

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

Let the number be x

Then,the algebraic expression formed is

[tex] \large \purple{ \boxed { \rm{x + 17}}}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

x+17

Explanation:

Adding more characters. 'A number is x variable, add 17.. x+17

Answer:

between 55 to 79 percent

Answer:

[tex]10 \frac{9}{25} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{3}{5} \bigg)^{2} + 4 \times 3 - 2 \\ \\ = \frac{9}{25} + 12 - 2 \\ \\ = \frac{9}{25} + 10 \\ \\ = \frac{9 + 10 \times 25}{25} \\ \\ = \frac{9 + 250}{25} \\ \\ = \frac{259}{25} \\ \\ = 10 \frac{9}{25} [/tex]