diameter of the cylinder given that the volume is 704 cm³ and the height is 14 cm .​

Answer:

are there answer choices? but here's my guess, because green is the highest most likely about 75 or 85 %

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

2a^2b+5ab-4

substitute a & b:

2(-4)^2(5)+5(-4)(5)-4

2(16)(5)+5(-4)(5)-4

160-100-4=56

The least whole number possibility for the third side is 8 cm. The greatest whole number possibility for the third side is 22 cm.

A triangle is a three-sided polygon. It is a geometric shape that has three edges and three vertices. Triangles can be classified based on their side lengths (such as equilateral, isosceles, or scalene) or based on the angles between their sides (such as acute, right, or obtuse). Triangles are a fundamental shape in geometry and are used in many branches of mathematics and physics. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Using this rule, we can find the possible range of values for the third side of the triangle.

The least possible length of the third side would be:

8.5cm + 15cm - 15cm = 8.5cm

The greatest possible length of the third side would be:

(8.5cm + 15cm) - 1cm = 22.5cm

Learn more about triangle, here https://brainly.com/question/2773823

#SPJ4

If you repeated a hypothesis test 1,000 times with 1,000 different samples from the same population, the number of times you would expect to commit a Type I error, assuming the null hypothesis is true, depends on the significance level (α).

a) For a given significance level α, the probability of committing a Type I error is α. So, if α is 0.05 (5%), then you would expect to commit a Type I error approximately 5% of the time in each hypothesis test.

To calculate the expected number of Type I errors, you can multiply the probability of committing a Type I error (α) by the total number of hypothesis tests conducted (1,000). So, in this case, if α is 0.05 and you conduct 1,000 hypothesis tests, you would expect to commit a Type I error approximately 0.05 * 1,000 = 50 times.

It's important to note that this is an expected value and not the exact number of Type I errors that would occur. The actual number of Type I errors could vary around this expected value.

Learn more about probability:

brainly.com/question/13604758

#SPJ11

Answer:

Enlargement by 1.5

Step-by-step explanation:

You can divide any of the values on the larger triangle by the same line on the smaller triangle and you would end up with 1.5

Answer:

i) 90

ii) 180

iii) supplementary

iv) linear pair

v) equal

vi) obtuse

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

Know more about   equations  here:

https://brainly.com/question/25976025

#SPJ8

Answer:

30 years.

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

Our unknown for this example is T, but first we have to see how much interest is earned.

200 - 80 = 120 in interest (starting with $80, ending with $200)

120 = (80)(0.05)(T)

120 = 4T

30 = T

Please lmk if you have questions.

Answer:

A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms

Step-by-step explanation:

Answer:

Joey has no money in his account. He is now indebted for $66.75

Step-by-step explanation:

250.5 - 317.25 = -66.75

Answer:

Sorry man but I can't see the question : (

Step-by-step explanation:

The mass of the unloaded plane is 70500 kg.

Let's denote the mass of the unloaded plane as P.

Given that the fuel and crew are 1/4 of the mass of the unloaded plane, we can express their combined mass as (1/4)P.

Additionally, the passengers and luggage are 1/3 the mass of the fuel and crew, so their combined mass can be represented as (1/3)(1/4)P.

Now, let's calculate the total mass at take-off:

Total mass at take-off = Mass of unloaded plane + Fuel and crew + Passengers and luggage

Since the fuel and crew are 1/4 of the unloaded plane's mass, we have:

Fuel and crew = (1/4)P

Similarly, the passengers and luggage are 1/3 of the fuel and crew's mass, so we have:

Passengers and luggage = (1/3)(1/4)P

= (1/12)P

Now, we can calculate the total mass at take-off:

Total mass at take-off = P + (1/4)P + (1/12)P

Combining like terms:

Total mass at take-off = (12/12)P + (3/12)P + (1/12)P

Total mass at take-off = (16/12)P

Given that the total mass at take-off is 94000 kg, we can set up the equation:

(16/12)P = 94000

To solve for P, we multiply both sides by (12/16):

P = (94000 × 12) / 16

P = 70500 kg

For similar questions on plane

https://brainly.com/question/824242

#SPJ8

Answer: the answer is 293 1/4. 3

Step-by-step explanation:

Answer: C 293 1/4 in.3

Step-by-step explanation:

The main answer to the question is Y = 316.3762 + 0.7206. This is the regression equation for the dataset, where Y represents the mean corn cob weight (in grams of grain per cob) and X represents the plant density (number of plants in the plot).

the explanation for this answer is that the regression equation was calculated using the summary statistics obtained from the study. The value of R, which represents the correlation coefficient, is 0.9418 indicating a strong positive correlation between X and Y. The slope of the regression line is 0.7206, meaning that for every unit increase in plant density, the mean corn cob weight increases by 0.7206 grams. The intercept is 316.3762, which represents the predicted mean corn cob weight when there are no plants in the plot. In conclusion, the regression equation for this dataset is Y = 316.3762 + 0.7206. This equation can be used to predict the mean corn cob weight based on the plant density in the plot. The strong positive correlation between X and Y suggests that increasing plant density can lead to an increase in the mean corn cob weight.

To know more about equation visit:

brainly.com/question/10724260

#SPJ11

Answer:

$13.65

Step-by-step explanation:

$3.25 x 4.2 = ?

3 x 4.2 = 12.6

0.25 x 4.2 = 1.05

12.6 + 1.05 = 13.65

$3.25 x 4.2 = 13.65

Answer:

$13.65

Step-by-step explanation:

since each gallon is $3.25 and she put 4.2 gallons of gasoline into the tank, multiply to find your answer.

3.25*4.2=13.65

Answer:

\(-10x^9 - 8x^6\); up to down

Step-by-step explanation:

\(-2x^3(4x^3+5x^6)\)

\(-2x^3(4x^3) + -2x^3(5x^6)\)

\(-8x^6 + -10x^9\)

\(-10x^9 - 8x^6\)

Hope this helps!

The predicted fuel efficiency for a speed of 30 mph will be 26.50 mpg when the least-squares regression line is given.

If the data demonstrates a stronger link between two variables, the line that best matches this linear relationship is known as a least-squares regression line, and it minimizes the vertical distance between the data points and the regression line. A regression line is a straight line that illustrates how a response variable y varies when an explanatory variable x changes. The line is a mathematical model that predicts the value of y given a value of x. A regression line predicts the value of y for a given value of x. A regression line is discovered through regression analysis. When the explanatory variable changes, the regression line shows how much and in which direction the response variable changes.

To know more about the least-squares regression line,

https://brainly.com/question/15455036

#SPJ4

The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs. The distance traveled in one year of normal commuting could be more suitable in this case.

A. The functional unit, which is defined as the quantified performance of a product system or service that will be used as a reference for conducting the life cycle assessment, is important for evaluating the impacts of products or systems on the environment.

The following are the different functional units that are acceptable or not acceptable to assess the environmental impacts of the product or system.

The first functional unit, one vehicle, is not appropriate as it doesn't represent the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life.

The second functional unit, distance traveled in one full gas tank or battery charge, would not be appropriate for our purpose as it is not clear what type of vehicle it will be used for.

The third functional unit, one year of normal commuting, would not be appropriate as it does not consider all the environmental impacts over the lifetime of the vehicle.

The fourth functional unit, 1 kg of vehicle, would not be appropriate as it is too small of a functional unit to evaluate the environmental impacts of the vehicle.

B. If we also wanted to consider riding the public bus as a personal transportation option, 200,000 miles driven would not be an appropriate choice of functional unit. This is because buses are used for transportation purposes, and they will have different environmental impacts than cars.

Therefore, the distance traveled in one year of normal commuting could be more suitable in this case.

C. One other impact category we could consider is the acidification potential. The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs.

Learn more about distance  here:

https://brainly.com/question/15256256

#SPJ11

Answer:

theorem: second option

postulate: third option

diagram: last option

definition: first option

Step-by-step explanation:

Answer: Heres my ugly a.ss

Step-by-step explanation:

The length of side RQ is 13.00 ft.

Given that a triangle RPQ, with sides RP = 8 ft, PQ = 13 ft and angle P between these sides equal to 71°, we need to find the length of side RQ which is opposite to the angle P,

To find the length of side RQ using the cosine rule, we can use the formula:

RQ² = RP² + PQ² - 2 RP PQ Cos(P)

Let's plug in the given values:

RP = 8 ft

PQ = 13 ft

angle P = 71°

Now we can calculate RQ:

RQ² = 8² + 13² - 2 × 8 × 13 × cos(71°)

Using a calculator, we can evaluate the cosine term:

RQ² = 64 + 169 - 208 × cos(71°)

RQ² ≈ 64 + 169 - 208 × 0.3072

RQ² ≈ 64 + 169 - 63.9936

RQ² ≈ 169.0064

Taking the square root of both sides:

RQ ≈ √169.0064

RQ ≈ 13.00 ft (rounded to two decimal places)

Therefore, the length of side RQ is 13.00 ft.

Learn more about cosine rule click;

https://brainly.com/question/30918098

#SPJ1

Answer:

x = 6.5

Step-by-step explanation:

2x - 3 = 10

2x = 10 + 3

2x = 13

x = 6.5

Answer:

Small piece is 4.3

Large piece is 5.7

Step-by-step explanation:

Let small piece be x

Large piece will be 2x-3

x + 2x - 3 = 10

3x -3 = 10

x = 13/3

Large piece will be 2*13/3 -3 = 17/3

Answer:

2 5/14 yards

Step-by-step explanation:

Area of the rectangular floor = Length * Width

Given

Area = 8 1/4 square yards

width = 3

1/2 yards

Required

Length

Length = Area/width

Length = (8 1/4)/(3 1/2)

Length = 33/4 ÷ 7/2

Length = 33/4 * 2/7

Length = 33/14

length = 2 5/14 yards

This gives the required length

Answer:

mad ebe cause we want money and space

Step-by-step explanation:

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

Learn more about Fourier transform

brainly.com/question/29063535

#SPJ11

For $52.50, approximately 6 pounds of chicken salad can be purchased.

To determine this, we can analyze the cost and quantity data provided. By examining the table, we can observe that the cost decreases linearly as the quantity of chicken salad increases. The cost decreases by $7.50 with each additional pound.

Starting with a cost of $75 for 7 pounds, we can calculate the cost of 6 pounds by subtracting $7.50 from $75. This gives us $67.50. Since $52.50 is less than $67.50, it means that 6 pounds of chicken salad can be purchased within the given budget.

Therefore, for $52.50, approximately 6 pounds of chicken salad can be purchased.

In the table, the cost and quantity of chicken salad are listed. By examining the pattern in the cost column, we can observe that there is a linear relationship between the cost and the quantity of chicken salad. Each increase of 1 pound of chicken salad corresponds to a decrease in cost by $7.50.

To determine the amount of chicken salad that can be purchased for $52.50, we can look for the cost value that is closest to $52.50 in the table. The corresponding quantity value for that cost would be the amount of chicken salad that can be purchased.

In this case, the cost of $52.50 falls between $60 and $67.50. Since the cost decreases by $7.50 with each additional pound, we can infer that the amount of chicken salad that can be purchased for $52.50 is slightly less than 7 pounds. Based on the pattern, we can estimate that approximately 6 pounds of chicken salad can be purchased for $52.50.

Learn more about subtracting here : brainly.com/question/13619104

SPJ11

Answer:

\( \dfrac{2(x - 2)}{x + 5} \)

Step-by-step explanation:

\( \dfrac{12(x - 2)^2}{6(x - 2)(x + 5)} = \)

\( = \dfrac{2(x - 2)}{x + 5} \)

Answer:

y=x+8

Step-by-step explanation:

since you are starting with the linear function y=x+7

a translation one unit to the left would be y=x+7(+1)

which gives us the answer y=x+8