Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone..

A
Description of Plane
plane parallel to the circular base, not passing through the tip of the cone
plane parallel to the circular base, passing through the tip of the cone
plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the
slant height of the cone
plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone
Description of Cross
Section

Answer:

a = 6, b = 12, c = 18, d = 12

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3

Answer:

1.17B

Step-by-step explanation:

Katie and her friends will pay 17% of the bill, B.

Therefore, we have to add 17% of B to B to find how much they will pay:

17/100 * B = 0.17B

Therefore, the total bill will be:

Bill + tip

= B + 0.17B = 1.17B

The expression that represents the total bill they will pay is 1.17B

The volume of the prism not occupied by the sphere is 704.69 cubic in.

Given that, the radius of the sphere=4 in. and the dimensions of a rectangular prism length=9 in. width=8 in. and height 10 in.

We need to find what is the volume of the prism not occupied by the sphere.

The formula to find the volume of the rectangular prism is Volume=Length×Width×Height.

The formula to find the volume of the sphere is Volume=4/3 πr³.

Now, the volume of the rectangular prism=9×8×10=720 cubic in.

The volume of the sphere=4/3×3.14×4³

V=15.31 cubic in.

Then, the volume of the prism not occupied by the sphere=The volume of the rectangular prism-The volume of the sphere

The volume of prism=720-15.31=704.69 cubic in.

Therefore, the volume of the prism not occupied by the sphere is 704.69 cubic in.

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Answer:

C. 46 degrees

Step-by-step explanation:

In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.

Answer:

C. 46°

Step-by-step explanation:

When you rotate a shape, it's angles and size do not change. The only things that change are its orientation and location.

5/8 is greater then 7/12.

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 12 is 24

For the 1st fraction, since 8 × 3 = 24,

5/8=5x3/8x3=15/24

Likewise, for the 2nd fraction, since 12 × 2 = 24,

7/12= 7x2/12x2=14/24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

15/24>14/24 or 5/8>7/12

Synthetic division is a method used to divide a polynomial by a linear binomial of the form (x - a). It allows us to simplify the process of polynomial division and find the quotient and remainder efficiently.

Write the polynomial in descending order and make sure all terms are present, even if they have a coefficient of zero. In this case, the polynomial is 2x^3 - 3x^2 - 8x - 3.

Identify the divisor. In this case, the divisor is (x - a), where "a" is the value we want to divide by. Synthetic division can only be used when dividing by a linear binomial.

Set up the synthetic division table. Write the divisor in the first row, and the coefficients of the polynomial (2, -3, -8, -3) in the second row, leaving any missing terms as zeros.

Perform the synthetic division. Start by bringing down the first coefficient (2) into the bottom row. Multiply the divisor (x - a) by the result, and place the product in the next column. Add the corresponding coefficients in the second row and write the sum in the third row. Repeat this process until all coefficients have been used.

Read the result. The last number in the bottom row is the remainder, and the numbers in the other rows form the coefficients of the quotient polynomial.

Write the quotient polynomial. The quotient polynomial is obtained from the coefficients in the bottom row, excluding the remainder. In this case, the quotient polynomial is 2x^2 + 3x + 2.

Note: Synthetic division can only be used when dividing by a linear binomial. If the divisor is not of the form (x - a), you will need to use long division instead.

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The number marked with an arrow on the number line below as an improper fraction is 2\(\frac{1}{2}\).

Given is a number line.

The number represented in the number line is -

2.5

or

5/2 = 2\(\frac{1}{2}\)

Therefore, the number marked with an arrow on the number line below as an improper fraction is 2\(\frac{1}{2}\).

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Considering the similar triangles, the measures of the angles are given as follows:

Similar triangles share these two features:

For this problem, the triangles are similar, with the arrow representing the corresponding sides, moving from angle w to angle x in one triangle, and from angle y to angle s in the other triangle.

Hence the measures of the angles are given as follows:

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The probability used in computing Butte's normal spoilage is the product of the probabilities of defective materials and defective workmanship, which is (10/1000) * (15/1000).

In this scenario, we have two independent events: defective materials and defective workmanship. The probability of defective materials is given as 10 units in 1,000, which can be expressed as 10/1000 or 0.01. Similarly, the probability of defective workmanship is given as 15 units in 1,000, which can be expressed as 15/1000 or 0.015.

Since these two events are independent, we can multiply their probabilities to find the joint probability. Therefore, the probability used in computing Butte's normal spoilage is (10/1000) * (15/1000), which simplifies to 0.00015 or 0.015%.

To understand this calculation further, we can consider the concept of independent events. When two events are independent, the occurrence of one event does not affect the probability of the other event occurring. In this case, the probability of defective materials and defective workmanship are independent of each other. By multiplying their probabilities, we find the joint probability of both events occurring simultaneously.

The resulting probability of 0.00015 or 0.015% represents the likelihood that a randomly selected unit will have both defective materials and defective workmanship. This probability is used in computing Butte's normal spoilage, which helps estimate the expected amount of defective units in a production process.

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The answer is 142.

The formula used for the nth term of an arithmetic sequence to solve this problem:

a_n = a_1 + (n - 1)d

where a_n is the nth term of the sequence, a_1 is the first term of the sequence, d is the common difference, and n is the number of the term we want to find.

We are given that d = 4 and a_3 = 10. Plugging these values into the formula, we get:

a_3 = a_1 + (3 - 1)4

10 = a_1 + 8

a_1 = 2

Now we can find the 36th term by plugging in n = 36 and the values we have found for a_1 and d:

a_36 = 2 + (36 - 1)4

a_36 = 2 + 140

a_36 = 142

Therefore, the 36th term of the arithmetic sequence is 142.

Answer:

-4,0 and 6.

Step-by-step explanation:

f(x) = 0 is when y = 0.

If you look at the graph, there are 3 instances when y = 0

and it happens when x = -4, x = 0 and x = 6.

Therefore, the solutions of f(x) when y =0 are -4,0 and 6.

Answer:

1001.35

Step-by-step explanation:

Assuming  

n

=

5

for which sum to be found.

We know sum of geometric series up to  

n

th term is

S

n

=

a

1

⋅

r

n

−

1

r

−

1

Here  

a

1

=

0.11

,

r

=

9.5

,

n

=

5

∴

S

5

=

a

1

⋅

r

5

−

1

r

−

1

=

0.11

⋅

9.5

5

−

1

9.5

−

1

≈

1001.35

[Ans]

Answer:

50 i think but i'm not 100 % sure i'm sorry

Step-by-step explanation:

Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:

a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.

b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.

c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.

d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.

In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

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Applying the trend in the table the population in 2023 is predicted to be

Exponential function  is a type of function that are of 3 main parts

Considering the given problem,  f(x) = 80(b)^x

the starting = 80

the base = b

the exponents = x

f(x) = 80(b)^x using the table again

132 = 80b

b = 132/80

b = 1.65

after 2023 the exponents will be

x = 2023 - 2016

x = 7

The predicted population

= 80(b)^x

= 80(1.65)^7

= 2898

the predicted population is 2898

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Answer:b

Step-by-step explanation:gbtggrtbttt

Answer: The answer is 580

Step-by-step explanation: you first do the front side which is 20 x 10 which is 200. You multiply 200 by 2 since the front and back are the same.

then you move on to the sides.

the bottom of the side is 3. The height is 20. 3 x 20 is 60. Since there are 2 sides, you will do 60 x 2 which is 120.

now we move on too the top. The width of width is 3. and the length is 10. 10 x 3 is 30. Since the bottom is also the same, you do 30 x 2. You add all the numbers.

So 400 (from the front and back) + 120 (from the sides) + 60 ( from the top and bottom)

thiss all equals 580. sorry if it is a bit confusing I just understood it too. I am 14 trying to get math a year above me.

Answer:

1. Square is a box shape so you can tell her it can be shaped like an package

2.Tell Alex any real numbers a and b, if ab = 0, then that means a equals zero, or b equals zero, but sometimes both a and b equal zero

Step-by-step explanation:

I hope this helps!

IMHO I think Alex will be really confused

Answer:

A

Step-by-step explanation:

The time that it take to knit the scarf from start to finish is 10 hours.

From the information, the volunteer knits a 5-foot long scarf at a constant rate and after 4 hours, the volunteer still has to knit 3 feet of the scarf.

Therefore, the volunteer used 4 hours to knit 2 scarf. The time used per scarf is 4/2 = 2 hours.

In this case, the time taken to finish the scarf will be:

= Time per feet × Total feet

= 2 × 5

= 10 hours.

It'll take 10 hours.

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Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

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Following the elimination process the solution of the given system of equations is \((2, -4)\). Hence option B is correct.

The given system of equations is:

2x + 3y = −8   ....(i)

3x + y = 2 ----(ii)

To solve this system by using the elimination method,

Multiply 3 both sides in equation (ii) we get,

9x + 3y = 6  ....(iii)

Subtract (iii) from (i) we get,

2x + 3y - (9x + 3y ) = -8 -6

-7x = -14

Dividing both  sides by -7 we get,

x = 2

Put the value of x into equation (ii),

6 + y = 2

y = -4

Hence,

The solution of the system is \((2, -4)\) which is option B.

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The complete question is:

Solve the system of equations using elimination.

2x + 3y = −8

3x - y = 2

A. (−4, 0)

B. (2, −4)

C. (5, −6)

D. (8, −8)

Answer:

(2, −4)

Step-by-step explanation:

took the test xx

Answer:

cotton

Step-by-step explanation:

Answer: 5 for 600 each

There are 50 great balls.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Cost of 1 great ball = $600

Total amount = $3000

So, number of Great balls

= 3000 / 600

= 50

hence, there are 50 great balls.

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Solution:

Given that Juan bought a car for $32,500, and the function f(x) expressed as

is the value of the car in any given year as shown in the table below:

From the above table, Juan bought the car in 2009.

Thus, to evaluate the approximate value of the car in 2020,

step 1: Evalaute the value of x.

In 2020, the value of x from 2009 will be

thus,

step 2: substitute 11 for the value of x into the f(x) function.

thus,

Hence, the approximate value of the car in 2020 is

The correct option is B.

Answer:

you have to do the square root of the numbers given and minus so the answer you get that's the radical form(simplest)