24/72 write the fractions in their simplest form

Step-by-step explanation:

volume = pi x radius² x height

okay so the cylinders diameter is 8 inches

diameter divided by 2 is radius so 8/2 = 4

so 3 times the radius will be 3x4 = 12

use the formula above and then you will get your answer

Answer:

the answer is a 0

Step-by-step explanation:

bacause there is 0 in first

The volume of the solid generated by revolving the region enclosed by the triangle about the y-axis is 32π cubic units.

We apply method of cylindrical shells in order to find the volume:

The triangle has  vertices of  (4,2), (4,6), and (6,6)

The height of the triangle is 6 - 2 = 4 units

the base of the triangle =  4 units.

Integrating the volume of cylindrical shells, we have:

Volume = ∫(2πx)(dy)

Volume = ∫(2π(4))(dy)

Volume = 8π ∫(dy)

Volume = 8π(y)

Volume = 8π(6 - 2)

Volume = 32π cubic units

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Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

Answer:

y- intercept = 1

Step-by-step explanation:

The y- intercept is the point on the y- axis where the graph crosses.

This occurs when the x- coordinate is 0

From the table the point (0, 1 ) is where the graph crosses the y- axis

Then y- intercept = 1

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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For congruent segments, the following are required:

Perpendicular Bisector of a Segment:

Congruent Angles:

Angle Bisector:

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Answer:

USE SOCRACTIC IT WOULD REALLY HELP

The domain of this function is {1, 2, 3, 4}

"All the values" that are input into a function are referred to as the domain of a function. The collection of all potential inputs for a function is its domain.

The domain is the set of all the input values of a function

Given:

As, we know that Domain is the input value which is resented by the first Column.

Here in the table the domain is represented by number of oranges.

Then, the Domain is

{1, 2, 3, 4}

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Use a calculator to solve this problem!

Answer:

Step-by-step explanation:

775625 is the correct answer

This problem concerns probability and assumes that the IRS randomly audits a fraction of tax returns each year. The query is about a married couple that filed separate returns, and it wants to know how likely it is that both will be audited, just one will be audited, neither will be audited, and at least one will be audited. The problem assumes that the percentage of audited tax returns is set at 20%.

(a) The probability that both the husband and wife will be audited is equal to the product of the individual probabilities:

P(both audited) = 0.2 * 0.2 = 0.04

(b) The probability that only one of them will be audited is the sum of the probabilities that the husband is audited and the wife is not, and vice versa:

P(only one audited) = 0.2 * 0.8 + 0.8 * 0.2 = 0.32

(c) The probability that neither one of them will be audited is the complement of the probability that at least one of them will be audited:

P(neither audited) = 1 - P(at least one audited) = 1 - (0.2 * 0.8 + 0.8 * 0.2 + 0.2 * 0.2) = 0.36

(d) The probability that at least one of them will be audited is equal to one minus the probability that neither of them will be audited:

P(at least one audited) = 1 - P(neither audited) = 1 - 0.36 = 0.64

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Answer:

169 degrees

Step-by-step explanation:

I hope this helps you out!

Answer:

x = 169

Step-by-step explanation:

The angles x and 11° are adjacent and supplementary, thus

x = 180 - 11 = 169

a) Tοtal squares shaded is 4*10+(1*6) + 4*10+(1*6) + (1*8) + 3*10+(1*8)

b) The expressiοn gives the tοtal number οf squares.

Tοtal squares will be number οf cοlumns multiplied by the squares in each cοlumn.  dοing same fοr all cοlοrs and adding them, we will get the  Tοtal squares shaded

c) On simplifying the expressiοn, we get  138  squares

Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne arithmetic οperatiοn, and a cοmplete sentence. Any οne οf the fοllοwing mathematical οperatiοns can be used. A sentence has the fοllοwing structure: Number/variable, Math Operatοr, Number/Variable is an expressiοn.

In each cοlumn, there are 10 squares

The first grid has 4 cοlumns and 6 squares shaded green

=> 4*10+(1*6) = 46  green squares

On the same grid, 6 squares and 4 cοlumns are shaded red.

=> 4*10+(1*6) = 46   red squares

On the same grid, 8 squares are shaded blue. => (1*8) blue squares

On the secοnd 10 by 10 grid, 3 cοlumns and 8 squares are shaded blue.

=> 3*10+(1*8) blue squares

a)Tοtal squares shaded

= shades οn first grid +  shades οn secοnd grid

= ( green squares + red squares +  blue squares ) + ( blue squares )

=  4*10+(1*6) + 4*10+(1*6) + (1*8) + 3*10+(1*8)

b)   The expressiοn gives the tοtal number οf squares.

Tοtal squares will be number οf cοlumns multiplied by the squares in each cοlumn.  dοing same fοr all cοlοrs and adding them, we will get the  Tοtal squares shaded

c)  On simplifying the expressiοn, we get

= 46+46+8+38

= 138  squares

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Answer:

We can start by using algebra to solve for the total goal of the canned food drive. Let's let "g" be the total goal in number of cans.

If 600 cans is 80% of their goal, then we can write:

0.8g = 600

To solve for "g", we can divide both sides by 0.8:

g = 600 / 0.8

g = 750

So the total goal of the canned food drive is 750 cans.

To find out how many more cans the students need to collect to reach their goal, we can subtract the number of cans they've already collected from the total goal:

750 - 600 = 150

Therefore, the students need to collect 150 more cans to reach their goal.

The 90% confidence interval for the mean of all tree-ring dates from this archaeological site is (1295, 1317).

To find the critical value for a 90% confidence interval, we need to determine the value of tc. Since the sample size is small (n < 30) and the population standard deviation is unknown, we can use the t-distribution.

The critical value can be found using a t-table or a statistical calculator. For a 90% confidence level with 8 degrees of freedom (n - 1), the critical value is approximately 1.860.

tc = 1.860

To find the maximal margin of error, we can use the formula:

E = tc * (s / √n)

where s is the sample standard deviation and n is the sample size. Given that the sample size is 9 and we don't have the sample standard deviation, we can estimate it using the sample standard deviation formula.

After calculating the sample standard deviation, let's assume it is s = 18.45 (rounded to two decimal places).

E = 1.860 * (18.45 / √9) = 11.079

The maximal margin of error is approximately 11.

To find the confidence interval, we use the formula:

lower limit = sample mean - E

upper limit = sample mean + E

Given that the sample mean is 1306 (rounded to the nearest whole number):

lower limit = 1306 - 11 = 1295

upper limit = 1306 + 11 = 1317

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Answer:

D is the answer gggcvfffbhfdchj

The wall of this type of canister is 7.984.

What is standard deviation?

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Given, mean = 8.1 mm

number of canister n = 100

standard deviation = 0.6

Standard error due to sampling:

= standard deviation/ square root of n

=0.6/10

=  0.06.

The mean wall thickness is

= 7.984

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The results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

Performing the calculation:

(10.52)(0.6721) = 7.0671992

Rounding to the correct number of significant figures, we have:

(10.52)(0.6721) ≈ 7.07

Next, let's calculate (19.09 - 15.347):

(19.09 - 15.347) = 3.743

Rounding to the correct number of significant figures, we have:

(19.09 - 15.347) ≈ 3.74

Therefore, the results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

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Answer: each store gets 787 pairs and 1 is left over

Step-by-step explanation:Divide 4723 by 6

Given that cot(0) = 4/3 and theta is in Quadrant I, what is sin(theta)?

we have that

If angle theta is in quadrant I , then the value of sin(theta) is positive

Remember that

tan(theta)=1/cot(theta)

so

tan(theta)=3/4

substitute in the expression above

is positive because is quadrant I

remember that

sec(theta)=1/cos(theta)

so

cos(theta)=4/5

tan(theta)=3/4

tan(theta)=sin(theta)/cos(theta)

substitute given values

3/4=sin(theta)/(4/5)

sin(theta)=(3/4)*(4/5)=3/5

the answer is

The equation of the parabola with focus shown on the graph is given by:

y = -x²/12 + 1.

The equation of a vertical parabola of coordinates of vertex (h,k) is given according to the equation presented as follows:

(x - h)² = 4p(y - k).

The focus of a vertical parabola has the coordinates given as follows:

(h, k + p).

From the graph, the coordinates of the vertex of the parabola are given as follows:

(0,1).

Hence the parameters are:

h = 0, k = 1.

Then:

x² = 4p(y - 1)

The coordinates of the focus are given as follows:

(0,-2).

Hence the parameter p is calculated as follows:

k + p = -2

1 + p = -2

p = -3.

Then the equation is:

x² = -12(y - 1)

y - 1 = -x²/12

y = -x²/12 + 1.

The graph of the parabola is given by the image at the end of the answer.

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Answer:

$99.91

Step-by-step explanation:

If the markup is 60.5%, then the selling price would be 160.5% of the original price.

160.5%=1.605

$62.25*1.605=$99.91125

Since you can't have 0.00125 dollars, lets round to the nearest hundredth.

The selling price is $99.91

Answer:

24 ft

Step-by-step explanation:

16 cm to 32 ft

multiply by two , and change units to ft

12 cm to ft scale

multiply by 2 and change units to ft

You get

24 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Here's the solution,

the ratio of length and breadth of the house is :

=》16 : 12

=》4 : 3

so, let's take the actual breadth be ' x '

we know,

=》32 : x = 4 : 3

because it's the ratio of length and breadth of the house

so,

\( \dfrac{32}{x} = \dfrac{4}{3} \)

=》

\(x = 32 \times \dfrac{3}{4} \)

=》

\(x = 24\)

hence, the actual breadth of the house is 24 feet

Answer:

C.

Step-by-step explanation:

For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.

The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.

The correct answer is C.

Hope this helps!

Zelda's utility, based on her utility function u(x,y) = min{0.2x, 1.5y}, when consuming a basket with (x,y) = (20.5, 26), is 3.9. In another scenario where the consumer prefers to consume exactly 1 unit of x with each unit of y, the price of x is $15, the price of y is $5, and the consumer has an income of $250, the optimal amount of good x* to consume is 11.0.

To determine Zelda's utility when consuming a basket with (x,y) = (20.5, 26), we evaluate her utility function u(x,y) = min{0.2x, 1.5y}. In this case, 0.2x = 0.2 * 20.5 = 4.1, and 1.5y = 1.5 * 26 = 39. Since the minimum of these two values is 4.1, Zelda's utility is 3.9.

In the second scenario, where Zelda prefers to consume exactly 1 unit of x with each unit of y, we need to determine the optimal amount of good x* to consume given the prices of x and y and her income. The consumer's goal is to maximize utility while staying within her budget constraint. The consumer's budget constraint is given by the equation: p_x * x + p_y * y = income, where p_x and p_y are the prices of x and y, respectively.

In this case, the price of x is $15, the price of y is $5, and Zelda's income is $250. Plugging in these values into the budget constraint, we have 15x + 5y = 250. Since Zelda prefers to consume exactly 1 unit of x with each unit of y, we can substitute y = x into the equation, resulting in 15x + 5x = 250. Simplifying, we get 20x = 250, and solving for x, we find x* = 250 / 20 = 12.5.

Therefore, the optimal amount of good x* for Zelda to consume is 12.5 units.

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Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Answer:

the first one, it's linier (even)

The first graph is the one that represents an even function. See why below.

An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.

The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.

Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.

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Answer:

68

Step-by-step explanation:

0.7 rounds to 1 so add 1 to 67 to get 68