Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 y2

We can divide the given figure in 3 parts:

The area of the triangle is

The area of the rectangle is

and the area of the semicircle is

Then, the area of our figure is

Now, the volume is given by

then,it yields

and, by rounding the the nearest cent, the volume is

Answer:

C. Sphere

Volume:

Surface area:

B. Cylinder

Volume:

Surface area:

A. Right Cone

Volume:

Surface area:

Answer:

- 1 1/3 degree

Step-by-step explanation:

- 16 / 12

Answer:

a) The number of students who enjoy reading only.

Answer:

d

Step-by-step explanation

let me know if this is right please

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Step-by-step explanation:

g(x) = f(x) that moved 4 units down and 1.5 units to the left.

the turning point in the middle of the function tells us this clearly.

to make that translation happen, it means

g(x) = f(x + 1.5) - 4 = (x - -1.5)³ + -4

the "-4" simply subtracts 4 units from every function result f(x) calculated. that moves everything down by 4 units.

and the "-1.5" (actually "x + 1.5") makes every function result of f(x) happen 1.5 units "earlier" for g(x). so, a shift to the left.

Answer:

Ai. Common ratio = 2/3

Aii. First term = 54

B. Sum of the first five terms = 422/3

Step-by-step explanation:

From the question given above, the following data were obtained:

3rd term (T3) = 24

6Th term (T6) = 64/9

First term (a) =?

Common ratio (r) =?

Sum of the first five terms​ (S5) =?

Ai. Determination of the common ratio (r).

T3 = ar²

T3 = 24

24 = ar²....... (1)

T6 = ar⁵

T6 = 64/9

64/9 = ar⁵......... (2)

The equation are:

24 = ar²....... (1)

64/9 = ar⁵......... (2)

Divide equation 2 by equation 1.

64/9 ÷ 24 = ar⁵ / ar²

64/9 × 1/24 = r³

8/27 = r³

Take the cube root of both side

r = 3√(8/27)

r = 2/3

Thus, the common ratio is 2/3

Aii. Determination of the first term (a).

T3 = ar²

3rd term (T3) = 24

Common ratio (r) = 2/3

First term (a) =?

24 = a(2/3)²

24 = 4a/9

Cross multiply

24 × 9 = 4a

216 = 4a

Divide both side by 4

a = 216/4

a = 54

Thus, the first term (a) is 54

B. Determination of the sum of the first five terms.

Common ratio (r) = 2/3

First term (a) = 54

Number of term (n) = 5

Sum of first five terms (S5) =?

Sn = a[1 –rⁿ] / 1 – r

S5 = 54[1 – (⅔)⁵] / 1 – ⅔

S5 = 54 [1 – 32/243] / ⅓

S5 = 54 (211/243) × 3

S5 = 54 × 211/81

S5 = 6 × 211/9

S5 = 2 × 211/3

S5 = 422/3

Thus, the sum of the first five terms is 422/3

1.- We are given that:

therefore:

2.- Recall that a condition that must be satisfied for three lengths to be the sides of a triangle is that the sum of any pair of lengths is greater than the other length, therefore:

3.- Substituting AC for AB, using the congruence statement in point number 2, we get:

This is the same as writing y = sqrt(4(x+5)) - 1

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

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

Aisle 5 is in walmart. think its the diaper section. your welcome

Answer:

IM DOING THE SANE THING AND IDFK

Answer:

u=16

Step-by-step explanation:

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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Answer:

1.Scan the receipts directly through the QuickBooks mobile app – more on that below.

2.Drag and drop the image, or upload it into QuickBooks Online.

3.Forward the receipt by email.

Answer:

a cone

Step-by-step explanation:

i got it right

Answer:

CONE

Step-by-step explanation:

Answer:

1. 2 + 3

2. -4 - 8

3. -4 + 8

4. -2 × 2

5. 24 ÷ 2

6. 3 - 8

7. 1 × 7

8. -7 ÷ -1

9. 36 ÷ 4

10. 3 × -3

you're welcome

Answer:

The answer is 869,843.

Step-by-step explanation:  Y= 650,000 (1.06)^5

                                                =  650,000 (1.33822)

                                                = 869,843              

Answer:

.

Step-by-step explanation:

Answer:

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

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

We can simplify the square roots:

√2 = √(2 × 1) = √2 × √1

√18 = √(9 × 2) = √9 × √2 = 3√2

√50 = √(25 × 2) = √25 × √2 = 5√2

Now we can find the mean:

(mean) = (sum of numbers) / (number of numbers)

(mean) = (√2 + 3√2 + 5√2) / 3

(mean) = (9√2) / 3

(mean) = 3√2

Therefore, the mean of the numbers √2, √18, and √50 is 3√2.

The end behavior of the function q(x) is:

To know the end behavior we need to look at the degree and the sign of the leading coefficient.

If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.

Here we can see that the function is:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:

when x → ∞, q(x) → -∞

when x → -∞, q(x) → -∞

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Answer:

46 hours and 42 minutes

Step-by-step explanation:

2100/45 = 46.7

46 hours and 42 minutes

Hopefully this helps you :)

pls mark brainlest ;)

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Using graphical method to find the solution to the system of linear equation, x = -7/2, y = 1/2

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

The equations given are

Using graphical method, the solution to the system of linear equation is the point of intersection between the two lines.

Using a graphing calculator;

The point of intersection (x, y) are ( - 3.54, 0.494) which can be estimated as x = -7/2, y = 1/2

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Answer:

1 tenth a yard to have 1 tenyard left

Step-by-step explanation:

Answer:

that would be -2200 sorry if im wrong

Step-by-step explanation: