57.9

×
0.086
please show work

The value of the integral is -1/4 times the integral of cos(y) over the interval [0, π], which is 0 since the cosine function is periodic with period 2π and integrates to 0 over one period.

To evaluate the integral ∫sin^3(x) cos(y) dx dy over the region [0, π/2] x [0, π], we integrate with respect to x first and then with respect to y.

∫sin^3(x) cos(y) dx dy = cos(y) ∫sin^3(x) dx dy

= cos(y) [-cos(x) + 3/4 sin(x)^4]_0^(π/2) from evaluating the integral with respect to x over [0, π/2].

= cos(y) (-1 + 3/4) = -1/4 cos(y)

Therefore, the value of the integral is -1/4 times the integral of cos(y) over the interval [0, π], which is 0 since the cosine function is periodic with period 2π and integrates to 0 over one period. Thus, the final answer is 0.

Learn more about integral here

https://brainly.com/question/30094386

#SPJ11

ANSWER

y = 14x + 3

EXPLANATION

We have the table that gives the values of x and y.

We want to find the linear equation that describes the data.

The general form of a linear equation is:

y = mx + c

where m = slope

c = intercept

So, we have to find the slope of the equation first.

We do that by using:

where (x1, y1) and (x2, y2) are two sets of data from the table.

Let us pick (x1, y1) as (0, 3) and (x2, y2) as (2, 31)

So, we have that:

Now, we use the point-slope method to find the equation:

y - y1 = m(x - x1)

=> y - 3 = 14(x - 0)

y - 3 = 14x

=> y = 14x + 3

That is the equation.

Answer:

y = 122.57

Explanation:

y = 143 when x = 49

Y varies directly with x, so the equation is --> y = kx (k would be the constant of variation).

k = y/x = 143/49

y = (143/49) x

When x = 42 --> y = (143/49) · 42 --> y = 2.92 · 42 --> y = 122.57

Answers:

It's not clear which version of WX your teacher wants, so I provided both of them.

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

Explanation:

Focus on the perimeters. The jump from 36 to 30 means the linear scale factor is 30/36 = 5/6

This means,

WX/YZ = 5/6

WX/5 = 5/6

6WX = 5*5

6WX = 25

WX = 25/6 which is exact

WX = 4.167 approximately

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

The linear scale factor is 5/6, so the area scale factor is (5/6)^2 = 25/36.

The area of figure 1 is 216 cm^2, making the area of figure 2 to be 216*(25/36) = 150 cm^2

Answer:

w = 38

Step-by-step explanation:

add 13 to 25 to get 38 so w = 38

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

1/4

Step-by-step explanation:

\( \frac{1}{2} - ( \frac{1}{8} + \frac{1}{8} )\)

Add the value of the numbers in parentheses.

\( \frac{1}{2} - \frac{2}{8} \)

Simplify 2/8 by dividing the numerator and denominator by 2.

\( \frac{1}{2} - \frac{1}{4} \)

Multiply the numerator and denominator of 1/2 by 2 to have the same denominator as 1/4 in order to be able to subtract.

\( \frac{2}{4} - \frac{1}{4} \)

\( \frac{1}{4} \)

Answer:

42%

Step-by-step explanation:

there are 4 full colums (sorry for spelling, not english) that have 10 levels each, that add up to 40. then you sum the extra two squares

sorry, i didnt know it required explanation!

Answer:

We can find out how many columns are shaded and we can see that 4 full columns are shaded. Then we count 2 extra squares. We multiply the columns by 10 and get 40. Then we add the extra squares at the end and get 42. Therefore the answer is:

Answer:

a, b, and d are all correct

im 99% sure

Step-by-step explanation:

The correct pairing is (2) velocity and m/s , weight is a scalar quantity measured in newtons (N), not kilograms (kg)

Weight is the force experienced by an object due to gravity and is measured in newtons, not the unit of mass which is kilograms.

Velocity is a vector quantity that measures the rate at which an object changes its position. It is defined as the displacement of an object divided by the time taken and is measured in meters per second (m/s).

Speed is the magnitude of velocity and is also measured in meters per second (m/s). It represents how fast an object is moving regardless of its direction. Speed is a scalar quantity, not a vector quantity.

Acceleration is a vector quantity that measures the rate of change of velocity. It is defined as the change in velocity divided by the time taken and is measured in meters per second squared (m/s^2).

Acceleration represents how quickly an object's velocity is changing. Therefore, the correct pairing is (2) velocity and m/s.

To know more about rate click here

brainly.com/question/199664

#SPJ11

Answer:

90

Step-by-step explanation:

90 has 0 ones so it is already rounded.

Answer:

90

Step-by-step explanation:

Hey there!

Well 90.000 to the nearest tenth is just 90 because there is decimal places to round.

Hope this helps :)

Answer:

120 grams

Step-by-step explanation:

Since each marble has a mass of 3 grams and there are 40 marbles, simply multiply 40 * 3 which is 120 grams.

Answer:

V = 1/32 yd^3

Step-by-step explanation:

To find the volume

V= l*w*h  where l is length, w is width, and h is height

V = 1/4 * 1/4 * 1/2

V = 1/32 yd^3

Answer:

4

Step-by-step explanation:

Because 8 + 8 is 16. 16 / 4 is 4. Or 4 x 4 is 16.

Hope this helps! <3

Answer: She gave away 7 pieces and was left with 9 pieces

Step-by-step explanation: Because 8+8+16 the next smallest square you can end up with is 3x3, or 9.

The condition that p(x)/q(x) is an integer for any number of inputs of integers x is satisfied by the integer polynomials p and q. It's not necessary for q(x) to split p(x).

In mathematics, a polynomial with integer values (also called a numerical polynomial) has an integer value for each integer n.

Contrary to popular belief, every polynomial with integer coefficients has integer values.

For instance, when t is an integer, the polynomial takes on integer values.

So, polynomials are the sums of terms of the form kˣⁿ, where k is any number and n is a positive integer.

A description of polynomials, such as the polynomial 3x+2x-5.

The concepts of degree, standard form, monomial, binomial, and trinomial are all covered in this section.

Therefore, the condition that p(x)/q(x) is an integer for any number of inputs of integers x is satisfied by the integer polynomials p and q. It's not necessary for q(x) to split p(x).

Know more about integer polynomials here:

https://brainly.com/question/29667481

#SPJ4

Answer:

5 hamburgers and 3 hot dogs

Step-by-step explanation:

D = number of hot dogs

H = number of hamburgers

D + H = 8    then  D = 8 - H

1.50D + 1.75H = 13.25

substitute for D

1.50(8-H) + 1.75H = 13.25

12-1.50H + 1.75H = 13.25

subtract 12 from each side

-1.50H + 1.75H = 1.25

0.25H = 1.25

divide both sides by 0.25

H = 5

D = 8-5

D = 3

Answer:

The answer is Rhombus diagonals/ kite

Step-by-step explanation:

They call it a kite because it is shaped as a rhombus

The sum of these numbers is indeed 131 + 133 + 135 = 399. Therefore, the three consecutive odd numbers are 131, 133, and 135.

What are consecutive numbers ?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

Here we will use algebra to find three consecutive integers whose sum is 399. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 399. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 399

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 399

3X + 3 = 399

3X + 3 - 3 = 399 - 3

3X = 396

3X/3 = 396/3

X = 132

Which means that the first number is 132, the second number is 132 + 1 and the third number is 132 + 2. Therefore, three consecutive integers that add up to 399 are 132, 133, and 134.

132 + 133 + 134 = 399

Since, 132 + 133 + 134 equals 399 as displayed above.

Hence ,The sum of these numbers is indeed 131 + 133 + 135 = 399. Therefore, the three consecutive odd numbers are 131, 133, and 135.

Learn more about consecutive numbers at:

https://brainly.com/question/17296996

#SPJ4

Answer:

c

Step-by-step explanation:

smarts

Answer:

Jenny gets $350

Roy gets $1050

Step-by-step explanation:

Jenny Kenny Roy

  3   :      5   :   7

           x  150

                =

?       :     750 :    ?

3 * 150 = 350

7 * 150 = 1050

Answer:

y = 3

Step-by-step explanation:

Add \(\frac{2}{3}\) to both sides of the equation

\(\frac{7}{3}+\frac{2}{3}=y-\frac{2}{3}+\frac{2}{3}\)

\(y =3\)

Hence, y =3

[RevyBreeze]

Answer and Step-by-step explanation:

Considering the definition of an disparity, the imbalance that can be utilized to decide x is 20x + 10≤ 80 Definition of inequality An imbalance is the existing disparity between two arithmetical expressions, associated through the signs: greater than >. less than <. less than or rise to to ≤. greater than or break even with to ≥. An disparity contains one or more obscure values ​​called questions, in expansion to certain known data. Solving an disparity comprises of finding all the values ​​of the obscure for which the disparity connection holds. This case A rental car company charges $20 per day to lease a car and $0.10 for each mile driven. Addison needs to lease a car, knowing that: She plans to drive 100 miles. She has at most $80 to spend. On the other hand, x speaks to the most extreme number of days Alyssa can manage to lease for whereas remaining inside her budget. Then, the disparity that can be utilized to decide x is: 20x + 0.1×100≤ 80 So: 20x + 10≤ 80 In rundown, the disparity that can

Answer:

b = 64°

Step-by-step explanation:

The sum of interior angles of a polygon is 180°(n - 2), where "n" is number of sides.

~~~~~~~~~~

180°(6 - 2) = 720°

114° + (b + 49°) + (2b - 25°) + 142° + (b + 39°) + (3b - 47°) = 720°

7b + (114° + 49° - 25° + 142° + 39° - 47°) = 720°

7b + 272° = 720°

7b = 448°

b = 64°

Thus, the wind speed at 80 meters is approximately 8.74 m/s when the wind speed at 60 meters is 8 m/s and the shear exponent is 1/7.

In order to find the wind speed at 80 meters, we need to use the shear exponent. The industry standard for the shear exponent is 1/7, which means that the wind speed will decrease by a factor of 1/7 for every meter increase in height.

To calculate the wind speed at 80 meters, we can use the following formula:

Wind speed at 80m = Wind speed at 60m * (80/60)^(1/7)

Plugging in the given values, we get:

Wind speed at 80m = 8 * (80/60)^(1/7)
Wind speed at 80m = 8 * 1.092
Wind speed at 80m = 8.74 m/s

Therefore, the wind speed at 80 meters is approximately 8.74 m/s when the wind speed at 60 meters is 8 m/s and the shear exponent is 1/7.

It's important to note that the shear exponent can vary depending on the atmospheric conditions, terrain, and other factors. So, this calculation provides an estimate based on the given standard.

Know ore about the exponent

https://brainly.com/question/13669161

#SPJ11

Answer: 1 and 8 are supplementary and 1 and 6 are vertical

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Remember in a RIGHT triangle ,  cos = adj leg /  hypotenuse

for this one then

cos (37) = 11/x       re-arrange to

x = 11/cos 37

x = 11/ .7986 = 13.8 units

Answer:

  13.77

Step-by-step explanation:

You want the hypotenuse of a right triangle with acute angle 37° and adjacent side 11.

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(37°) = 11/x

Solving for x, we find ...

  x = 11/cos(37°) ≈ 13.77

The measure of side x is 13.77 units.

Answer:

The answer is (50) but what does the number sentence mean?

Step-by-step explanation:

According to the given statement the Greatest Common Factor of Two or More Expressions The GCF of 150 and 275 is 10.  

To find the greatest common factor (GCF) of two or more expressions, you need to find the largest expression that can divide each expression without a remainder. In other words, the GCF is the largest common factor of the given expressions.

Here's how to find the GCF of 150 and 275 using the prime factorization method:

Step 1: Find the prime factorization of each number.

150 = 2 × 3 × 5 × 5 = 2 × 3 × 5²275 = 5 × 5 × 11 = 5² × 11

Step 2: Identify the common factors by circling them.

150 = 2 × 3 × 5 × 5 = 2 × 3 × 5²275 = 5 × 5 × 11 = 5² × 11

Step 3: Multiply the common factors that are circled.

2 × 5² = 10

Step 4: The product obtained in step 3 is the greatest common factor of the given numbers.

To know more about GCF visit:

https://brainly.com/question/26526506

#SPJ11

Answer:

False

Step-by-step explanation:

The left side −28 does not equal to the right side 22 , which means that the given statement is false.

Answer:

A) $24

Step-by-step explanation:

Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.

y = 3(8) = 24

Therefore, the cost of 8 gallons of gasoline would be $24.