Determine the area of the given region under the curve
(1/x^4) [1,2]

Answer:

13/72

Step-by-step explanation:

Step-by-step explanation:

13/72

The following triangle is  right angle tringle. In the following options the option C is correct.

Let the given triangle is XYZ.

Consider that the data for the given triangle XYZ:

∠X=45°

∠Y=90°

∠Z=45°

The right-angled triangle or right angle triangle is the triangle has one of the angle is 90° or a right angle. The  right angle triangle is also known as the orthogonal triangle.

In the given triangle the angle are 45°, 90° and 45° of X, Y and Z, respectively,

Since, the given  triangle XYZ has one of the angle is right angle, that is angle Y or the triangle XYZ has one of the angle is 90°, that is, ∠y=90°.

Therefore, the triangle XYZ is right angle triangle.

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Answer:

A. x = -3/10 , y = 69/20

B. x = 1/2 , y = 5/2

Step-by-step explanation:

A]

3x + 2y = 6......eq1

13x + 2y = 3.......eq2

From eq 2 - eq 1

10x = -3

x = -3/10

So,

3x + 2y = 6

3(-3/10) + 2y = 6

y = 69/20

B]

6x+2y = 8.....eq1

3x - y = -2.....eq2

eq2 x 2 and add in 1

12x = 6

x = 1/2

So,

6x+2y = 8

y = 5/2

Answer:

you can use desmos, it is a online graphing calculator

Step-by-step explanation:

Answer:

hat is this passage mostly about?

Click for the passage, "Studies in Ice."

A. Studying nature

B. Storing and moving ice safely

C. Powering drills with the sun

D. Saving messages in ice

Answer:

24

Step-by-step explanation:

first the left part: 1x10=10, 10-4=6

Right part: 2x10=20, 20-2=18

And the final 18+6=24

Answer:

i think its c

sorry if im wrong!

Step-by-step explanation:

Answer:

4 bags of bread

Step-by-step explanation:

Answer:

The answer is 5 + 112x

Step-by-step explanation:

Simplify each term.

~Hoped this helped~

Answer:

the answe is [tex]\frac{176}{7}[/tex]

Step-by-step explanation: th

Answer:

b = 8.89, c = 11.96 and m∠B = 48°

Step-by-step explanation:

From the given triangle ABC,

We will apply sine ratio for angle A,

sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(42)° = [tex]\frac{BC}{AB}[/tex]

sin(42)° = [tex]\frac{8}{AB}[/tex]

AB = [tex]\frac{8}{\text{sin}(42)}[/tex]

AB = 11.96

c = 11.96

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

42° + m∠B + 90° = 180°

m∠B = 180 - 132

m∠B = 48°

By cosine ratio of angle A,

cos(A) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(42)° = [tex]\frac{AC}{AB}[/tex]

AC = AB.cos(42)°

AC = (11.96)cos(42)°

AC = 8.89

b = 8.89

Answer:B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

I dont trust myself so you shouldnt eirther

Answer:

I dont really think this is it but i think its 20

Step-by-step explanation:

60 divided by 3 is 20

Answer/Step-by-step explanation:

Decompose each shape, find the volume of each cuboid, and add both volumes you get together.

Recall: volume of cuboid = L*W*H

4. Volume of cuboid 1: L*W*H = 12*10*4 = 480 ft³

Volume of cuboid 2: L*W*H = 12*3*5 = 180 ft³

Volume of the shape = 480 + 180 = 660 in.³

5. Volume of cuboid 1: L*W*H = 11*2*5 = 110 yd³

Volume of cuboid 2: L*W*H = 10*4*2 = 80 yd³

Volume of the shape = 110 + 80 = 190 yd³

6. Volume of cuboid 1: L*W*H = 8*3*2 = 48 in.³

Volume of cuboid 2: L*W*H = 14*2*3 = 84 in.³

Volume of the shape = 48 + 84 = 132 in.³

7. Volume of cuboid 1: L*W*H = 5*3*2 = 30 yd³

Volume of cuboid 2: L*W*H = 6*2*5 = 60 yd³

Volume of the shape = 30 + 60 = 90 yd³

8. Volume of cuboid 1: L*W*H = 12*2*18 = 432 in.³

Volume of cuboid 2: L*W*H = 18*5*6 = 540 in.³

Volume of the shape = 432 + 540 = 972 in.³

9. Volume of cuboid 1: L*W*H = 13*11*4 = 572 ft³

Volume of cuboid 2: L*W*H = 13*6*7 = 546 ft³

Volume of the shape = 572 + 546 = 1,118 ft³

Answer:

262.5 inches

Step-by-step explanation:

All we need to do is 75% of 150, which is 112.5, then add it to 150 to get our answer!

Answer:

The multiples of 5 are (b.10,25,45,60)

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

3 fits in to 5 0.6 times. Multiply that by 100.

Answer:

1) 10

2) 46

3) 2

4) -21

5) -10

6) -4

Answers + Explanations:

For each substitute g = -7 and h = 3 into the equation:

1.

[tex]h - g\\3 - (-7)\\3 + 7\\10[/tex]

2.

[tex]g^2 - h \\(-7)^2 - 3\\49 - 3\\46[/tex]

3.

[tex]g + h^2\\-7 + 3^2\\-7 + 9\\2[/tex]

4.

[tex]gh\\(-7) * 3\\-21[/tex]

5.

[tex]g - h\\-7-3\\-10[/tex]

6.

[tex]g + h\\-7 + 3\\-4[/tex]

Answer:

Step-by-step explanation:

There are two ways to do this, the one that makes more logical sense and the faster one

You can first calculate how much is 25%. You do this by $24.99 × 25 ÷ 100

Since you know how much is "discounted", just minus the answer you get above with the original price ($24.99 - $6.2475)

The quicker way is to recognise that "original price" is always 100%. In other words, you can just do 100% - 25% and get 75%. Then, $24.99×75÷100 is your answer.

Answer:

Step-by-step explanation:

We have been given an equation . We are asked to write the missing exponent for our given equation.

We can see that 169 is square of 13, so we can write left side of our equation as:

We can raise 1 to any power and answer will be same.

Raising 1 to 2nd power, we will get:

Since both numerator and denominator is raised to 2nd power, so we can raise  to 2nd power as:

Therefore, our missing exponent is 2.

Answer:

tip: study

Step-by-step explanation:

Answer

y = 3(2) = 6

Thus, she tutored for 2 hours and cleaned tables for 6 hours.

Explanation

These questions are all about writing down mathematically what they are saying in words. Use variables whenever there is an unknown, and try to write equalities based on what is said.

So, taking it one step at a time:

Eva is working two summer jobs,

Cool.

making $16 per hour and $8 per hour clearing tables.

I'm guessing this is $16/hr for tutoring, and $8/hr for clearing tables?

Last week Eva worked 3 times as many hours clearing tables as she worked tutoring hours

Let C = the number of hours Eva worked at clearing tables

Let T = the number of hours Eva worked at tutoring

Last week Eva worked C = 3 * T

and earned a total of $80.

The amount she earned at each place is:

8*C = money from clearing tables

16*T = money from tutoring

8*C + 16*T = 80

Solve a system of equations in order to determine the number of hours Eva worked tutoring last week, X, and the number of hours Eva worked clearing tables last week, Y,

Welp, I guess they wanted X and Y but it doesn't matter. From the equations above we can say:

8*C + 16*T = 80

C = 3*T

That should be enough to solve for:

C = ?

T = ?

Let x = # of hrs spent tutoring, y = # of hrs spent cleaning tables

We know she worked 3 times as many hours cleaning tables as she did tutoring, which implies:

3x = y

Also, her total earnings add up to $80, which implies:

16x + 8y = 80

This gives us the following system of equations:

3x = y

16x + 8y = 80

Let's make the substitution y = 3x into the 2nd equation:

16x + 8(3x) = 80

16x + 24x = 80

40x = 80

x = 2.

Next, plug in x = 2 into the first equation:

y = 3(2) = 6

Thus, she tutored for 2 hours and cleaned tables for 6 hours.

Answer:

Step-by-step explanation:

h = 20                         h = 3/2                        h = 12

1/2 * h = 10                 h+5/2 = 4                     5h = 60

                                                                        120/h = 10

                                                                        h-3 = 9

Answer:90

Step-by-step explanation:

Trust me bro

The degrees of rotation that will carry the regular pentagon onto itself is 72,144,216,288

In geometry, a pentagon is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.

Given here: A regular pentagon is rotated clockwise about center P.

Now  Since you have 5 vertices, your starting vertex can land in 5 different starting places and still come up with the same figure. So if you take 360/5 you get 72 degree rotations to each consecutive vertex.

or more specifically 360/5=72

Again therefore the pentagon will coincide itself after every integral multiple of 72

Thus 72, 144,216,288 are the required angles of rotation.

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