right cone has a base with diameter 16 units.
me volume of the cone is 320 cubic units.
What is the length of a segment drawn from the apex to the edge of the circular base?

The final result for the money is [tex]172.40[/tex] after you multiply it by a percent.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage.

Rather than being stated as a fraction, a percent is a piece of an entire thing expressed as just a number between zero and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the total by its entirety and multiply the result by 100 to get the percentage.

[tex]w-[0.15]=146.54[/tex]

so [tex]w-85p=146.54[/tex]

[tex]146.54[/tex] divided by [tex]80=1.724[/tex] so when you make it a percent it turns it into [tex]172.40[/tex] which is the final answer for the money.

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The vοlume οf the cοne is 156π cubic units

A cοne is a three-dimensiοnal geοmetric fοrm with a flat base and a smοοth tapering tip οr end. A cοne is made up οf a cοllectiοn οf line segments, half-lines, οr lines that link the apex—the cοmmοn pοint—tο every pοint οn a base that is in a plane οther than the apex.

Given,

h = 13 units and r = 6 units

We knοw the fοrmula tο determine vοlume οf cοne; that is

(1/3)πr²h

Where r= radius οf the cοne

h=  height οf the cοne

We put the value οf h and r in the fοrmula

(1/3)πr²h

= (1/3)π6² *13

=156π cubic units

The vοlume οf the cοne is 156π cubic units

Hence the cοrrect answer is 156π cubic units

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The zeroes of the factored polynomial as required to be determined in the task content are: x = -6 and x = 8.

It follows from the task content that the zeroes of the completely factorised polynomial are to be determined.

Since the given polynomial is; x² - 2x - 48 which has been factorised completely to; (x + 6) (x - 8).

Ultimately, the zeroes of the Polynomial are as follows;

x + 6 = 0; x = -6.

and

x - 8 = 0; x = 8.

Conclusively, the zeroes of the polynomial are; x = -6 and x = 8.

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the amount of sand in the top cone when the height of the sand is only 1 inch is (h-1)/h times the amount of sand in the top cone originally.

the cones are similar, their volumes are proportional to the cube of their heights. Let's denote the height of the top cone as h, and the radius of the top and bottom bases as r. Then, the volume of the top cone can be expressed as:

V₁ = (1/3)π[tex]r^2[/tex]h

If the height of the sand in the top cone is reduced to 1 inch, then the height of the remaining sand in the top cone is (h-1) inches. The volume of the remaining sand in the top cone can be expressed as:

V₂ = (1/3)π[tex]r^2[/tex](h-1)

To compare the amount of sand in the top cone in these two scenarios, we can take the ratio of their volumes:

V₂/V₁ = [(1/3)π[tex]r^2[/tex](h-1)] / [(1/3)π[tex]r^2[/tex]h] = (h-1)/h

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This inequality represents that the weight of Duri's backpack is w < 45

Given that

Weight = Less than 45 pounds

We can use the inequality symbol to represent Duri's weight limit as follows:

w < 45

This inequality states that the weight of Duri's backpack, represented by w, must be less than 45 pounds.

Any weight value for w that satisfies this inequality is within Duri's weight limit and can be carried in their backpack.

For example, if Duri's backpack weighs 30 pounds, then w = 30 satisfies the inequality w < 45, so Duri can carry this weight.

However, if the backpack weighs 50 pounds, then w = 50 does not satisfy the inequality w < 45, so Duri cannot carry this weight.

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the answer is 62x IAM take a guess so

The expression that could result in a final unit measure of dollars is given by (mnk²) dollars.

To write an expression that could result in a final unit measure of dollars, we need to consider the units given.

We have three units, i.e., m feet, n feet, and k dollars per square foot.

To convert these units to dollars, we need to multiply the given units with appropriate conversion factors.

The conversion factor for the given units is as follows:

Unit 1: 1 foot = k dollars (Conversion factor)

Unit 2: 1 foot = k dollars (Conversion factor)

Unit 3: 1 square foot = 1 x k dollars = k dollars (Conversion factor)

Now, let us write the expression that results in a final unit measure of dollars.

The expression should be written in HTML format.

Let us begin: Final Unit Measure = (Unit 1) x (Unit 2) x (Unit 3)

Final Unit Measure = (m feet) x (n feet) x (k dollars per square foot)

Final Unit Measure = m x k dollars x n x k dollars per square foot

Final Unit Measure = (m x k x n x k) dollars

Final Unit Measure = (mnk²) dollars.

Thus, the expression that could result in a final unit measure of dollars is given by (mnk²) dollars.

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By the 46th day, there are 400 water lilies in the pond. the estimate you made: a). close to 46 (or exactly right) because it was estimated well.

We know that the regression equation is: y = 3.915(1.106)ˣ and that the pond can hold 400 water lilies.

y = 3.915(1.106)ˣ

Here, y is equal to the number of water lilies the pond can hold.

So, y = 400

And,  x is the required time taken.

So,

400 = 3.915(1.106)ˣ

⇒ (1.106)ˣ = 400/3.915    

⇒ (1.106)ˣ = 102.17

Taking logarithm on both sides, we get

log (1.106)ˣ = log (102.17)

⇒ x log (1.106) = log (102.17) .............. [log aˣ = x loga]

⇒ x = [log (102.17)/log (1.106)]    

⇒ x = 45.92

x ≅ 46

So, the pond will take 46 days to become full.

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Complete question:

Regression equation: y = 3.915(1.106)ˣ . The pond can hold 400 water lilies. by what day will the pond be full? write and solve an equation. the pond will be full by the end of day.

Answer:

b

Step-by-step explanation:

just did it

Answer:-1

Step-by-step explanation:

in order to solve this type questions you should "orginize" numbers same variables:

-6x+4x=6-4

-2x=2

x=-1

The perimeter of an isosceles triangle is the sum of the length of the sides. In this case, the perimeter is 56 inches. The ratio of the sides is [tex]5:4.[/tex]

To calculate the lengths of the sides and base, we need to first calculate the lengths of the two equal sides. To do this, divide the perimeter (56 inches) by the sum of the ratio (5 + 4) which is 9. This gives us a result of 6.2 inches for the two equal sides.

To calculate the length of the base, multiply the two equal sides by the ratio of 5:4, which gives us a result of 7.5 inches for the base.

Therefore, the lengths of the sides and the base of the triangle are: two equal sides of 6.2 inches, and a base of 7.5 inches.

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No, there is not sufficient evidence to substantiate the claim at the 0.10 level. Null Hypothesis (H0): p ≤ 0.69; Alternative Hypothesis (H1): p > 0.69

A newsletter publisher believes that under 69% of their readers own a Rolls Royce.

No, there is not sufficient evidence to substantiate the claim at the 0.10 level. In order to substantiate the claim at the 0.10 level, the publisher would need to collect data from their readers and perform a hypothesis test to compare the observed percentage of readers with the claimed percentage.

Null Hypothesis: The proportion of the newsletter readers that own a Rolls Royce is less than or equal to 69%.

Null Hypothesis (H0): p ≤ 0.69

Alternative Hypothesis: The proportion of the newsletter readers that own a Rolls Royce is greater than 69%.

Alternative Hypothesis (H1): p > 0.69

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Using the stars and bars technique, Candice can distribute her 24 pieces of candy among her four siblings in 2,925 different ways. If she must give each sibling at least one of each type of candy, there are 67,200 ways to distribute the candy among the four siblings.

(A) To solve this problem, we can use the technique of stars and bars. We have a total of 24 pieces of candy to share among four children. We can represent this using 24 stars, with 3 bars to separate the stars into four groups, one for each child. For example, the following arrangement represents giving 6 pieces of candy to the first child, 10 pieces to the second child, 3 pieces to the third child, and 5 pieces to the fourth child:

*****|**********|***|****

The number of ways to arrange the stars and bars is equal to the number of ways to choose 3 positions out of the 27 possible positions for the stars and bars. Therefore, the number of different ways that Candice can share her candy with her three younger brothers is:

C(27, 3) = 27! / (3! * 24!) = 2925

(B) Now, we need to ensure that each child receives at least one Tootsie roll and one Twizzler. We can give each child one of each candy to start, and then distribute the remaining 13 Tootsie rolls and 7 Twizzlers using the stars and bars technique. We have 13 Tootsie rolls and 7 Twizzlers to distribute among four children, which can be represented using 13 stars and 3 bars for the Tootsie rolls, and 7 stars and 3 bars for the Twizzlers. The number of ways to arrange the stars and bars for each type of candy is:

C(16, 3) = 560 for the Tootsie rolls

C(10, 3) = 120 for the Twizzlers

To find the total number of ways to distribute the candy, we can multiply the number of ways for each type of candy:

560 * 120 = 67200

Therefore, there are 67,200 different ways for Candice to share her candy with her three younger brothers after her mother asks her to give at least one of each type of candies to each of her brothers.

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Complete question:

After a (not very successful) trick or treating round, Candice has 15 Tootsie rolls and 9 Twizzlers in her pillow case. Her mother asks her to share some of the loot with her three younger brothers.

(A) How many different ways can she do this?

(B) How many different ways can she do this after her Mother asks her to give at least one of each type of candies to each of her brothers?

The population of a district in 2005 was 35,700 with a continuous annual growth rate of approximately 4%. the population in 2030 will be approximately 97,209 according to the exponential growth function.

The formula for the continuous exponential growth is given by the formula:

P = Pe^(rt)

where,P is the population in the future.

P0 is the initial population.

t is the time.

r is the continuous interest rate expressed as a decimal.

e is a constant equal to approximately 2.71828.In this problem, the initial population P0 is 35,700. The rate r is 4% or 0.04 expressed as a decimal. We want to find the population in 2030, which is 25 years after 2005.

Therefore, t = 25.We will now use the formula:

P = Pe^(rt)P = 35,700e^(0.04 × 25)P = 35,700e^(1)P = 35,700 × 2.71828P = 97,209.09.

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Answer: I got 97,042.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The inequality statement that describes the two numbers on a number line "2 and a number 9 units to the left of 2" would be:

x < 2

where x represents the number that is 9 units to the left of 2.

The answer of the given question based on the  linear regression  is , the predicted distance the person will travel after 10 hours of driving is approximately 252.05 miles.

Distance is measurement of length between the two points or objects. It is a scalar quantity that only has a magnitude and no direction. In mathematics, distance can be measured in various units such as meters, kilometers, miles, or feet, depending on the context.

Distance can be calculated using the distance formula, which is based on the Pythagorean theorem in two or three dimensions.

Assuming the equation you meant to write is y = 34.38x - 91.75, where y is the predicted distance traveled in miles and x is the number of hours driven, we can use this equation to predict how far the person will travel after 10 hours of driving:

y = 34.38x - 91.75

y = 34.38(10) - 91.75

y = 343.8 - 91.75

y = 252.05

Therefore, the predicted distance the person will travel after 10 hours of driving is approximately 252.05 miles.

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During 10 hours of driving, the projected distance according to linear regression is roughly 252.05 miles.

The term "distance" refers to the length between two points or objects. Having merely a magnitude and no direction, it is a scalar quantity. Depending on the situation, distance in mathematics can be expressed in a variety of ways, including meters, kilometers, miles, or feet.

The distance formula, which depends on the Pythagorean theorem in either two or three dimensions, can be used to compute distance.We may use this equation to forecast how far the individual would go after 10 hours of driving, assuming the equation you meant to write is

y = 34.38x - 91.75, where y is the expected distance travelled in miles and x is the number of hours driven:

y = 34.38x - 91.75

y = 34.38(10) - 91.75

y = 343.8 - 91.75

y = 252.05

The estimated distance that the driver will cover after 10 hours on the road is 252.05 miles.

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The complete question is,

The equation for linear regression is = 34.38x - 91.75. Calculate this person's estimated distance after 10 hours of driving using the equation: 4.38x-91-75.

The size of angle DAB in the quadrilateral is 49°.

The sum of the interior angles of a quadrilateral is 360°. We can say:

∠A + ∠B + ∠C + ∠D = 360°

∠A + 34° + ∠C + 228° = 360°

∠A  + ∠C + 262° = 360°

∠A  + ∠C = 360 - 262

∠A  + ∠C = 98

Since angles DAB and BCD are the same size. This implies ∠A  = ∠C. Thus:

∠A  + ∠A = 98

2∠A  = 98

∠A = 98/2

∠A  = 49°

Therefore, the size of angle DAB is 49°.

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Complete Question

Check the attached image

The solution of the system 2 -1 5 with -2 -1 in real form is (x, y) = (7/4, 7/2).

To solve the system with the given coefficients, first, let's rewrite it as a linear system of equations:

2x - y = 5
-2x - y = -2

Now, let's solve this system step-by-step:

Step 1: Solve for y in the first equation:
y = 2x - 5

Step 2: Substitute the expression for y from Step 1 into the second equation:
-2x - (2x - 5) = -2

Step 3: Simplify and solve for x:
-2x - 2x + 5 = -2
-4x = -7
x = 7/4

Step 4: Substitute the value of x back into the expression for y:
y = 2(7/4) - 5
y = 7/2

The solution in real form is (x, y) = (7/4, 7/2).

Regarding the ellipse with counterclockwise orientation, the trajectory can be described as a smooth, closed curve in the shape of an ellipse. The ellipse will have a major and minor axis, with the points on the ellipse moving continuously in a counterclockwise direction along the curve.

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Answer: 1,023 combinations & 4/5 chance

Step-by-step explanation: A bunch of weird math with the first answer, but the 2nd answer is just every clothing article that isn't red over the total amount of articles simplified (8/10 = 4/5).

Hope this helped!

Answer:

(a) To write 9 N as a number in standard form, we need to express it as a number between 1 and 10 multiplied by a power of 10. To do this, we can divide 9 N by 10 until we get a number between 1 and 10:

9 N = 480 × 10^9

9 N ÷ 10 = 48 × 10^9

9 N ÷ 10^2 = 4.8 × 10^9

9 N ÷ 10^3 = 0.48 × 10^9

9 N ÷ 10^4 = 0.048 × 10^9

9 N ÷ 10^5 = 0.0048 × 10^9

Therefore, 9 N = 4.8 × 10^10.

(b) To write N as a product of powers of its prime factors, we can first factorize N:

480 × 10^9 = 2^5 × 3 × 5 × 10^9

Then, we can express 10^9 as 2^9 × 5^9 and substitute it in the factorization:

2^5 × 3 × 5 × 2^9 × 5^9 = 2^14 × 3 × 5^10

Therefore, N = 2^14 × 3 × 5^10.

(c) To find the largest factor of N that is an odd number, we need to remove all factors of 2 from the factorization of N. We can do this by dividing N by 2 as many times as possible:

N = 2^14 × 3 × 5^10

N ÷ 2 = 2^13 × 3 × 5^10

N ÷ 2^2 = 2^12 × 3 × 5^10

N ÷ 2^3 = 2^11 × 3 × 5^10

N ÷ 2^4 = 2^10 × 3 × 5^10

N ÷ 2^5 = 2^9 × 3 × 5^10

N ÷ 2^6 = 2^8 × 3 × 5^10

N ÷ 2^7 = 2^7 × 3 × 5^10

N ÷ 2^8 = 2^6 × 3 × 5^10

N ÷ 2^9 = 2^5 × 3 × 5^10

N ÷ 2^10 = 2^4 × 3 × 5^10

N ÷ 2^11 = 2^3 × 3 × 5^10

N ÷ 2^12 = 2^2 × 3 × 5^10

N ÷ 2^13 = 2 × 3 × 5^10

N ÷ 2^14 = 3 × 5^10

Therefore, the largest factor of N that is an odd number is 3 × 5^10.

The approximate percent decrease in the number of customers from Saturday to Sunday is 33%. Therefore, the answer is option A: 33%

To find the approximate percent decrease in the number of customers from Saturday to Sunday, we first need to calculate the decrease in the number of customers:

Decrease = Saturday customers - Sunday customers

Decrease = 135 - 90

Decrease = 45

The percent decrease can be found by taking the decrease as a percentage of the original value (Saturday customers):

Percent decrease = (Decrease / Saturday customers) x 100%

Percent decrease = (45 / 135) x 100%

Percent decrease = 33.33%

Rounding to the nearest percent, we get that the approximate percent decrease in the number of customers from Saturday to Sunday is 33%. Therefore, the answer is option A: 33%.

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Your question is incomplete, but probably the complete question is :

You work as a cashier in a supermarket. On Saturday, you had 135 customers. On Sunday, you had 90 customers. What is the approximate percent decrease in the number of customers from Saturday to Sunday?

33%

45%

50%

90%

225%

Answer:

[tex]y - 3 = \frac{2}{3} (x - 3)[/tex]

[tex]y = \frac{2}{3} x + 1[/tex]

[tex]2x - 3y = - 3[/tex]

Step-by-step explanation:

[tex]m = \frac{ - 5 - 3}{ - 9 - 3} = \frac{ - 8}{ - 12} = \frac{2}{3} [/tex]

[tex]y - 3 = \frac{2}{3} (x - 3)[/tex]

[tex]y - 3 = \frac{2}{3} x - 2[/tex]

[tex]y = \frac{2}{3} x + 1[/tex]

[tex]3y = 2x + 3[/tex]

[tex] - 2x + 3y = 3[/tex]

[tex]2x - 3y = - 3[/tex]

Answer: 0.48

Step-by-step explanation:

× 0.1 = ÷10

÷ 0.1 = ×10

× 0.01 = ÷100

÷ 0.01 = ×100

So, we do=

4.8 x 0.1 = 4.8 ÷ 10

= 0.48

So our answer is 0.48

Answer:

Step-by-step explanation:

Given diameter of a beach ball is d=10 inches.Let us find the radius of the beach ball:d=2 r10=2×rr=102∴r=5Therefore, the radius of a beach is 5 inches.Let us find the volume of air contained inside the beach ball:V=43 π×r3=43 π×53=43 π×125=500π3∴V=523.59877Therefore, the volume of air contained inside the beach ball is approximately 523.6 in3.

Answer:

The formula for the volume of a sphere is:

V = (4/3)πr³

We can rearrange this formula to solve for the radius (r):

r = [(3V) / (4π)]^(1/3)

where V is the volume of the sphere.

Substituting the given volume of the beach ball, we get:

r = [(3 × 10,332 in³) / (4 × 3.14)]^(1/3)

r = 10.27 in

Rounding to the nearest tenth, the approximate radius of the beach ball is 10.3 inches.

Answer:

Step-by-step explanation:

From the parallel lines, we know that corresponding angles are congruent, so:

(2y+78) = X

We also know that vertically opposite angles are equal:

X=5y

Substitute for X:

2y+78=5y

Solve:

2x-5x=-78

-3x=-78

x=26

Therefore, the measure of angle WXZ is 26.

Answer:

We can find the point that partitions line segment AB into a 3:6 ratio by using the formula for finding a point that divides a line segment into two parts in a given ratio.

Let's call the point we're looking for "P". According to the formula, the coordinates of point P can be found using the following equations:

x-coordinate of P = [(6 * x-coordinate of A) + (3 * x-coordinate of B)] / 9

y-coordinate of P = [(6 * y-coordinate of A) + (3 * y-coordinate of B)] / 9

Using the coordinates of points A and B given in the problem, we can plug them into these equations and simplify to find the coordinates of point P:

x-coordinate of P = [(6 * -1) + (3 * 2)] / 9 = 0

y-coordinate of P = [(6 * 2) + (3 * 5)] / 9 = 3.33 (rounded to two decimal places)

Therefore, the point that partitions line segment AB into a 3:6 ratio is approximately (0, 3.33), which is closest to option A: 4,5/3.

Extrapolation is a useful tool for predicting future values based on past data

Bethany used a method of predicting future values from past values known as extrapolation. Extrapolation is a powerful tool for predicting future values, but it is important to remember that it only works if the underlying trend in the data does not change. In Bethany's case, she is making an assumption that her income over the next 10 years will follow the same trend as it did in the past 5 years.

In extrapolation, the assumption is that the data points that were observed in the past will continue in the same direction and with the same intensity into the future. Therefore, extrapolation can be used to make predictions about future values even when no new data points have been collected. It is important to remember, however, that any predictions made using extrapolation are only estimates and may not be accurate.

Extrapolation is used in many different fields, such as finance, economics, medicine, engineering, and even weather forecasting. For example, stock analysts may use extrapolation to make predictions about future stock prices based on past prices. Similarly, meteorologists may use extrapolation to make predictions about future weather conditions based on historical weather data.

Overall, extrapolation is a useful tool for predicting future values based on past data. However, it is important to remember that it only works when the underlying trend in the data does not change. Additionally, any predictions made using extrapolation are only estimates and may not be accurate.

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As per the given probability, the mode of the number of hurricanes it takes for the home to experience damage from two hurricanes is either one or two hurricanes, depending on which sequence is more likely to occur.

The probability of the DD sequence is 0.4 x 0.4 = 0.16. This means that there is a 16% chance that the home will experience damage in both the first and second hurricanes.

The probability of the DN sequence is 0.4 x 0.6 = 0.24. This means that there is a 24% chance that the home will experience damage in the first hurricane but not in the second hurricane.

The probability of the ND sequence is 0.6 x 0.4 = 0.24. This means that there is a 24% chance that the home will not experience damage in the first hurricane but will experience damage in the second hurricane.

To determine the mode of the number of hurricanes it takes for the home to experience damage from two hurricanes, we need to consider which sequence is most likely to occur.

In this case, the DN and ND sequences have the same probability, which means that there are two possible modes: one and two hurricanes.

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The four points with y-coordinates half their x-coordinates are (0,0), (2,1), (4,2), and (6,3). These points do lie on a line, as they all satisfy the linear equation y = x/2.

To plot four points whose y-coordinates are half their x-coordinates, we can choose any four values of x and then compute the corresponding values of y using the equation y = x/2. For example

If x = 0, then y = 0/2 = 0, so the first point is (0,0).

If x = 2, then y = 2/2 = 1, so the second point is (2,1).

If x = 4, then y = 4/2 = 2, so the third point is (4,2).

If x = 6, then y = 6/2 = 3, so the fourth point is (6,3).

We can plot these points on a coordinate plane

As we can see from the plot, the four points do lie on a straight line. This is because the equation y = x/2 is the equation of a linear function with slope 1/2 and y-intercept 0. Therefore, any two points on this line will have a constant slope between them, and thus the four points will be collinear.

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