Which of the figures shown above has the greater volume? Please show ALL of your work.

Recall the double angle identity,

sin(2x) = 2 sin(x) cos(x)

Then we can write

sin(9x) cos(9x) = 1/2 sin(2 • 9x) = 1/2 sin(18x)

Then

∫ sin(9x) cos(9x) dx

= 1/2 ∫ sin(18x) dx

= -1/2 • 1/18 cos(18x) + C

= -1/36 cos(18x) + C

though you could continue with another double angle identity,

cos(2x) = cos²(x) - sin²(x)

to rewrite the antiderivative as

= -1/36 (cos²(9x) - sin²(9x)) + C

= 1/36 (sin²(9x) - cos²(9x)) + C

Answer:

1

Step-by-step explanation:

Anything to the exponent of 0 is 1.

Answer:

-1/4x+3/4

or

-0.25x+0.75

Step-by-step explanation:

g(x) = mx + b

m = slope

b = initial value

m = -1/4

b = 3/4

g(x) = -1/4x+3/4

Hope this helped, let me know if you need more help!

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Answer:

<aob=1/2(can + ab)

<aob=1/2(25+46)

<aob=1/2(71)

<aob=35.5

Answer:

area= base(length)*height(width)

possible dimensions

4 *3, 3*4

6*2, 2*6

12*1, 1*12

Answer:

77

Step-by-step explanation:

<DBE and <ABE are supplementary angles so their sum is equal to 180

<DBE is given as 103

103 + <ABE = 180 subtract 103 from both sides

<ABE = 77

Answer: 72 square feet

Step-by-step explanation: just multiply 8* 7 = 56 then 8*2 = 16 and add = 72

Answer:

[tex]\frac{5}{8}[/tex]  

I hope this helps!

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

to multiply fractions, multiply the numerators together then the denominators.

5 * 3 = 15

6 * 4 = 24

15/24

now simplify that fraction.

15/24

divide both sides by 3

5/8

Answer:

what is the answer i dont know you tell him to ask another person because i m back bencheer

Answer:

he first one worked 15 hours, the second one worked 5 hours.

Step-by-step explanation:

First mechanic worked x hours, then second one worked 20 - x hours

First one charged $95*x, second one charged $75*(20-x)

Total charge = 95x + 75(20 - x) = 1800

95x + 1500 - 75x = 1800

20x = 300

x = 15, 20 - x = 5

So the first one worked 15 hours, the second one worked 5 hours.

Answer:

x= -6

Step-by-step explanation:

Answer:

cable 1 ≈ 54.63 ft

Step-by-step explanation:

using Pythagoras' identity in the right triangle having cable 1 as its hypotenuse.

let cable 1 be x , then

x² = 22² + 50² = 484 + 2500 = 2984 ( take square root of both sides )

x = [tex]\sqrt{2984}[/tex] ≈ 54.63 ft ( to 2 dec. places )

Answer:

i think its a

Step-by-step explanation:

Based on the estimate from the Waldfogel study, 10[tex]\%[/tex] of this would be a deadweight loss, i.e., [tex]\[/tex]90.6 would be the deadweight loss.

Deadweight loss means the economic inefficiency that takes place when the allotment of resources in a market isn't at the optimal position.

The study suggested that the average recipient's valuation of the gift received was approximately 90[tex]\%[/tex] of the actual purchase price of the gift.

This means that 10[tex]\%[/tex] of the value of the gift gets lost in between.

This loss of 10[tex]\%[/tex] in value constitutes the deadweight loss.

The average amount spent on gifts = $906

Percentage loss in value = 10[tex]\%[/tex] or 0.10

Calculation of the deadweight loss,

DWL = Average amount spent on gifts × Percentage loss in value

DWL = [tex]\[/tex]906 × 0.10

Thus, the deadweight loss would be [tex]\[/tex]90.6.

Learn more about a deadweight loss here:

https://brainly.com/question/32082652

#SPJ12

Answer:

The juice bar can sell 3 more cups of the passion juice than the berry juice (last one)

Step-by-step explanation:

Passion: 768/16=48

Berry: 810/18=45

passion can fill 48 cups while berry can fill 45 cups, so passion fills +3

:)

Answer:

[tex]\sf x= 14.04^{\circ \:}[/tex]

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

solve:

[tex]\rightarrow \sf tan(x)= \dfrac{5}{20}[/tex]

[tex]\rightarrow \sf x= tan^{-1}(\dfrac{5}{20})[/tex]

[tex]\rightarrow \sf x= 14.04^{\circ \:}[/tex]

Answer:

x = 14.04° (nearest hundredth)

Step-by-step explanation:

Use the tan trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{O}{A}}[/tex]

where:

Given:

[tex]\implies \mathsf{\tan(x)=\dfrac{5}{20}}[/tex]

[tex]\implies \mathsf{x=\arctan\left(\dfrac{5}{20}\right)}[/tex]

[tex]\implies \mathsf{x=14.04\textdegree \ (nearest \ hundredth)}[/tex]

Answer:

£0.60

Step-by-step explanation:

If each pack costs £1.59 and Nadia orders 15 packs,

then the total order before discount = 1.59 x 15 = £23.85

From the table given, we can see that for an order of £23.85 a 2.5% discount will be applied.

Divide £23.85 by 100 to get 1%:  £23.85 ÷ 100 = £0.2385

Now multiply by 2.5 to get 2.5%:  £0.2385 × 2.5 = £0.59625 = £0.60

Alternatively, the calculation in one expression is:

(1.59 × 15) × 0.025 = 0.59625

Answer:

is called a controlled operation

Step-by-step explanation:

that's what its called i just know

Answer:

The answer is d

Step-by-step explanation:

To find out the asnwer, we need to find the value of X. First, we know that X is the same vaule in each equation so we have to find out a number can by multiplied to 9,6, and 5 and get the 3 numbers in either a,b,c, or d. 9x9=81,6x9=54, 5x9=45. These 3 answers matches the number in the choices.

Answer:

[tex]y = \frac{x}{2} + 4[/tex]

Answer:

2/5x6/7 = 12/35

Step-by-step explanation:

when we multiply fractions we multiply the denominators together and the numerators as well, so 2 x 6 = 12. and  5 x 7 =35

12/35

Answer:

Step-by-step explanation:

Given data

total distance=160 cm

time taken =20seconds

We know that speed =distance/time

So let us solve for the speed of the ant

speed=160/20

speed= 8cm/s

Also when the distance is 216,and the ant uses the same speed,it will take the ant

time=distance/speed

time=216/8

time= 27seconds

Answer:

(-4,2)

Step-by-step explanation:

Knowing that/Given that:

The vertices of the triangle are rotated about the origin by 270° counter-clockwise.

In Addition, This transformation changes the co-ordinate (x,y) to (y,-x).

Before (x,y)                                        After ( y, - x)

Vertices                         New vertices after 270° rotation

R= (1,1)                                              R' = (1,-1)

S= (-2,-4)                                          S' = (-4,2)

T= (-3,-3)                                          T' = (-3,3)

Hence, the answer is (-4,2)

~Lenvy~

Answer:

meter (m) is the standard unit measurement for length .

Answer:

it is meter just to let yall know

Step-by-step explanation: