Find the area of a rectangle that has a height of 8x^2y and a base of 6y^4

Answers

Answer 1

Answer:

[tex] 48 {x}^{2} {y}^{5} [/tex]

Step-by-step explanation:

Given:

[tex] l = 8x^2 y\: \&\: b = 6y^4 [/tex]

Area of rectangle

[tex] = l \times b \\ \\ = 8 {x}^{2} y \times 6 {y}^{4} \\ \\ = 8 \times 6 \times {x}^{2} y \times {y}^{4} \\ \\ = 48 {x}^{2} {y}^{5} [/tex]


Related Questions

Use the given x and y values to write a direct variation
equation.
x = 2, y = 30

Answers

Answer:

y = 15x

Step-by-step explanation:

Given x and y are in direct variation then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 2, y = 30, then

30 = 2k ( divide both sides by 2 )

15 = k

y = 15x ← equation of variation

Convert: 1000 g = __ kg

Answers

Answer: 1000 G= 1kg

Step-by-step explanation:

Answer:

1000 g=1 kg

5000 mm = 5 m

Step-by-step explanation:

HELP PLEASE
The value of h, to the nearest hundredth, is ...

Answers

Answer:

50.19

Step-by-step explanation:

quick mafs hun <3

The floor of a rectangular shed is 12 ft by 14 ft.

What is the area of the floor in square feet?

Answers

Answer:

Step-by-step explanation:

S=a*b=12*14=168feet²

Bobby had a box of berry flavored hard candies. Fifteen candies were strawberry flavored, twelve candies were blueberry flavored, and thirteen candies were raspberry flavored. Bobby picked one candy from the box without looking. What is the probability, written as a percent, that the candy he picked was not raspberry flavored?

Answers

15 strawberry

12 blueberry

13 raspberry

27/40

Suppose Jordan buys five notebooks with a unit rate of $3 and five packages of pens with a unit rate of $1. Which of the expressions below represent Jordan's purchases?

Answers

Answer:

Jordan's purchase was $20

Step-by-step explanation:

3x5=15    5x1=5      5+15=20

How you Can find the area of a composite figure?​

Answers

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

A light bulb is designed by revolving the graph of:

[tex]y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}[/tex]

Over the interval 0 ≤ x ≤ 1/3 about the x-axis, where x and y are measured in feet. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (Glass is 0.015 inch thick).

Answers

Answer:

[tex]\displaystyle 0.251327 \ in. \ of \ glass[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Factoring

Calculus

Differentiation

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

Integration Property: [tex]\displaystyle \int\limits^a_b {cf(x)} \, dx = c \int\limits^a_b {f(x)} \, dx[/tex]Fundamental Theorem of Calculus: [tex]\displaystyle \int\limits^a_b {f(x)} \, dx = F(b) - F(a)[/tex]Area between Two CurvesVolumes of RevolutionArc Length Formula: [tex]\displaystyle AL = \int\limits^a_b {\sqrt{1+ [f'(x)]^2}} \, dx[/tex]Surface Area Formula: [tex]\displaystyle SA = 2\pi \int\limits^a_b {f(x) \sqrt{1+ [f'(x)]^2}} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}\\Interval: [0, \frac{1}{3}][/tex]

Step 2: Differentiate

Basic Power Rule:                    [tex]\displaystyle y' = \frac{1}{2} \cdot \frac{1}{3}x^{\frac{1}{2} - 1} - \frac{3}{2} \cdot x^{\frac{3}{2} - 1}[/tex][Derivative] Simplify:                [tex]\displaystyle y' = \frac{1}{6}x^{\frac{-1}{2}} - \frac{3}{2}x^{\frac{1}{2}}[/tex][Derivative] Simplify:                [tex]\displaystyle y' = \frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}[/tex]

Step 3: Integrate Pt. 1

Substitute [Surface Area]:                                                                             [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{1+ [\frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}]^2}} \, dx[/tex][Integral - √Radical] Expand/Add:                                                               [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{81x^2+18x+1}{36x}} \, dx[/tex][Integral - √Radical] Factor:                                                                         [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{(9x + 1)^2}{36x}} \, dx[/tex][Integral - Simplify]:                                                                                       [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {-\frac{|9x + 1|(3x - 1)}{18}} \, dx[/tex][Integral] Integration Property:                                                                     [tex]\displaystyle SA = \frac{- \pi}{9} \int\limits^{\frac{1}{3}}_0 {|9x + 1|(3x - 1)} \, dx[/tex]

Step 4: Integrate Pt. 2

[Integral] Define:                                                                                             [tex]\displaystyle \int {|9x + 1|(3x - 1)} \, dx[/tex][Integral] Assumption of Positive/Correction Factors:                                 [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {(9x + 1)(3x - 1)} \, dx[/tex][Integral] Expand - FOIL:                                                                                 [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {27x^2 - 6x - 1} \, dx[/tex][Integral] Integrate - Basic Power Rule:                                                         [tex]\displaystyle \frac{9x + 1}{|9x + 1|} (9x^3 - 3x^2 - x)[/tex][Expression] Multiply:                                                                                      [tex]\displaystyle \frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|}[/tex]

Step 5: Integrate Pt. 3

[Integral] Substitute/Integral - FTC:                                                              [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|})|\limits_{0}^{\frac{1}{3}}[/tex][Integrate] Evaluate FTC:                                                                                [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{-1}{3})[/tex][Expression] Multiply:                                                                                     [tex]\displaystyle SA = \frac{\pi}{27} \ ft^2[/tex]

It is in ft² because it is given that our axis are in ft.

Step 6: Find Amount of Glass

Convert ft² to in² and multiply by 0.015 in (given) to find amount of glass.

Convert ft² to in²:                    [tex]\displaystyle \frac{\pi}{27} \ ft^2 \ \div 144 \ in^2/ft^2 = \frac{16 \pi}{3} \ in^2[/tex]Multiply:                                   [tex]\displaystyle \frac{16 \pi}{3} \ in^2 \cdot 0.015 \ in = 0.251327 \ in. \ of \ glass[/tex]

And we have our final answer! Hope this helped on your Calc BC journey!

1d - 2) = 6
4
What is the value of d + 3?

Answers

Step-by-step explanation:

6 c. 2 d. 6 e. a2 + 2a + 3 f. (x + h)2 + 2(x + h) + 3 9. a. 2 b. 0 c. 65/4 d. x2 + 1/x e. (s + h)2 + 1/(s +

Which equation represents the line that passes through
the points (2, 3) and (4, 7)?

Answers

Answer:

Step-by-step explanation:

(7 - 3)/(4 - 2) = 4/2 = 2

y - 3 = 2(x - 2)

y - 3 = 2x - 4

y = 2x - 1

I need help asap, please

Answers

Answer:

yous math symblom

Step-by-step explanation:

its a good website for that

Answer:

x = -6

Step-by-step explanation:

4(x-6)+4=6x-8

Multiply by four in parenthesis.

4x-20=6x-8

Add 20 on both sides.

4x=6x+12

Subtract 6.

-2x=12

Divide -2

z = -6

:)

HELP PLEASE!!
Helen rolls a dice and flips a coin.
Calculate the probability that she gets a 4 and a tail.

Answers

Answer:

Step-by-step explanation:

The probability of getting a 4 is 1/6, the probability of getting a tails is 1/2. Add the two together 8/12. I don't know if its right but hopefully it helped.

Hannah takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the length of the cut is 12inches and the paper is 8 inches long, what is the width of the sheet of paper (nearest tenth)?

Answers

The answer would be 10 inch

What is 5 divided by 3/4?

Answers

Answer :

20/3 was the answer

Answer:

20/3 or 6 2/3

Step-by-step explanation:

to divide fractions, you flip the second fraction then multiply across.

5=5/1

5/1divided by 3/4

change to 5/1 x 4/3

multiply across

answer is 20/3 or 6 and 2/3

x-3y=7
2х-6у=12
Solve the following systems

Answers

Answer:

Step-by-step explanation:

this system doesnt have any solutions

if you multiply the first equation by 2 you will get

2x-6y=14

second equation is

2x-6y=12

the result will -12=14

no solutions

Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical. At a point d = 37 meters from the tree, the angle of elevation to the top of the trees
is a = 29° (see figure). Find the height h of the tree. (Round your answer to one decimal place.)
h =
m
d m
Additional Materials
eBook

Answers

Answer:

Height of the tree is 40.0 meters.

Step-by-step explanation:

From ΔABC,

m∠ABC = 90°

Since, m∠ABC = m∠CBD + m∠ABD

90° = 6° + m∠ABD

m∠ABD = 90°- 6° = 84°

By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

84° + 29° + m∠BDA = 180°

m∠BDA = 180° - 113°

             = 67°

By sine rule in ΔABD,

[tex]\frac{\text{sin}(\angle BDA)}{d}= \frac{\text{sin}(\angle ABD)}{h}[/tex]

[tex]\frac{\text{sin}(67)}{37}= \frac{\text{sin}(84)}{h}[/tex]

h = [tex]\frac{\text{sin}(84)\times 37}{\text{sin}(67)}[/tex]

h = 39.98

h ≈ 40.0 meters

Therefore, height of the tree is 40.0 meters.

The sine rule is the ratio of the side length to the sine of the opposite angles. Then the height of the tree is 40 meters.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a triangle.

Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical.

At a point d = 37 meters from the tree, the angle of elevation to the top of the trees is a = 29° (see figure).

∠ABC = 90

We have

In ΔABC

∠ABC = ∠CBD + ∠ABD

∠ABD = 90 - 6

∠ABD = 84

By triangle sum in ΔABD, we have

∠ABD + ∠BDA + ∠DAB = 180

                            ∠BDA = 180 - 84 - 29

                            ∠BDA = 67

Then by the sine rule, we have

[tex]\begin{aligned} \dfrac{\sin \angle BDA}{d} &= \dfrac{ \sin \angle ABD }{h}\\\\\dfrac{\sin 67}{37} &= \dfrac{\sin 84}{h}\\\\h &= \dfrac{\sin 84} \times 37{\sin 67}\\\\h &= 39.98 \approx 40 \end{aligned}[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Can someone please help me with this!! ASAP

Answers

Answer:

The bbn vxcndzx Decide which item would best check the reliability of each statement.

Bvdfiuxjgiodfjcgkfmctgihnrdtjfk,m viufihjmgjkhyntfuvibjkhmgutjfyh,jmtifg

This book was written by a prominent banker in England.

check author's background

check copyright date

check another referenceb

Step-by-step explanation:

Compute (4803) • 95. *

Answers

Answer:

456,285

zzzzzzzzzzzzzzzzzzzzz

The side lengths of a triangle are 5,√3,√28. Is the triangle a right triangle? How would I solve this?

Answers

Answer:

it is a right triangle.

Step-by-step explanation:

you would solve by using pythagorean theorem. Firstly you would find the square roots. Then write the pythagorean theorem out replacing the variables with the corresponding numbers. All you do for this is find the greatest number and that is c. Lastly you would add the square roots of a and b, if this equals 28 then they are equal. Ask more questions if I did not explain this clearly.

The triangles are similar.
What is the value of x?
Enter your answer in the box
x=

Answers

Answer:

Since the corresponding sides of similar triangles are proportional,

[tex]\frac{x}{7} =\frac{75}{25} \\or, x = \frac{75(7)}{25}\\or, x = 21[/tex]

Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month. Find an expression for the total monthly revenue Theodore and Sarah's business can generate if they change the selling price of their T-shirts. Let x represent the number of $1 increases in the price of the T-shirts.

Answers

Answer:

(205-9x) times15

Step-by-step explanation:

The expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month.

The expression will be written as,

E = (205-9x)15.

Therefore, the expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ5

Which is greater, 24 or - 25

Answers

Answer:

24

Step-by-step explanation:

its positive

Answer:

-25 ∠ 24

Step-by-step explanation:

the store offers a 40% discount the regular price of a t-shirt is 22 what is the discount price?​

Answers

Answer:

$8.80

Step-by-step explanation:

So because [tex]40\% = .4[/tex], then the equation is [tex].4 \times 22[/tex] which equals [tex]8.8[/tex], or $8.80.

Help pls easy points 20

Answers

Answer:

ahhhhhhhhhhhhhhhhh

Step-by-step explanation:

Is (3, 2) a solution to the equation y = X?
Yes or No ?

Answers

Answer:

no

Step-by-step explanation:

Answer:

the answer is no

Step-by-step explanation:

−214=r−45

Help
Asp


Plz

Answers

Answer:

-169

Step-by-step explanation: add 45 on both sides

Answer:

r=-169

Step-by-step explanation:

I hope it helped bro

If you answer both of these i will give
Brainliest ( if thats how you spell it )

Answers

Answer:

first one:4/10

second one: 8/24

Step-by-step explanation:

i think this works but a hundred 100% sure though.

here you go hope its correct.

Find the new price for the markup given. Round to the nearest cent If necessary. 3.00 marked up 72%​

Answers

Answer:

33%

Step-by-step explanation

its a throw off question stay sharp

Share £160 in the ratio 1:9

Answers

Answer:

let ratio be x and9x

x +9 x=£160

x=£160/10

x=£16

9x=£16×9=£144

Answer:

16 and 144

Step-by-step explanation:

Breaking 160 into 1+9 = 10   parts

1 part would be  16    

     the rest would be 9 parts = 160 - 16 =144

Help please i dont get it

Answers

Answer:

3.51

Step-by-step explanation:

yes

Answer:

3.28

Step-by-step explanation:

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