Find the slope of the following graph

The solution to the points are:

This is the point where the curve or curves of the graph changes direction.

In this case, the turning point in the vertex

The graph has its vertex at (1, -3.2)

This means that

Turning point = (1, -3.2)

This is the point where the curve or curves of the graph touches the x-axis i.e. f(x) = 0

In this case, the points are: (-1, 0) and (3, 0)

This means that

The roots are (-1, 0) and (3, 0)

This is the point where the curve or curves of the graph passes through x = 2.5

In this case, the points are: (2.5, -1.4)

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The sequence has the 10th term of 15625000

The sequence is given as:

8,40,200,...

The above sequence has the following parameters

First term, a = 8

Common ratio, r = 5 i.e. 40/8 = 5

Number of terms , n = 10

This means that the sequence is a geometric sequence

The nth term of an geometric sequence is calculated as

f(n) = ar^(n - 1)

Substitute the known values in the above equation

So, we have the following equation

f(10) = 8 * 5^(10 - 1)

Evaluate

f(10) = 15625000

Hence, the 10th term for the sequence is 15625000

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As a result of using all values in the data set to calculate an average, the mean is the most widely used measure of central tendency.

A measure of central tendency, also known as a measure of center or a measure of central placement, is a summary statistic that seeks to summarize an entire collection of data by using a single number that corresponds to the middle or center of the distribution.

You are probably most familiar with the central tendency measure known as the mean, which is the arithmetic average. It is fairly easy to determine the mean. Simply add up all the values then divide by the dataset's observation count.

The teacher can get a mathematical breakdown of how well the children are doing through measures of central tendency.

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The volume of a frustum is equal to 445.3785 cubic units.

Mathematically, the volume of a cone can be calculated by using this formula:

Volume of a cone = 1/3 × πr²h

Where:

For the volume of the large cone, we have the following:

Volume of large cone = 1/3 × πr²h

Volume of large cone = 1/3 × 3.142 × 6² × 12

Volume of large cone = 3.142 × 36 × 4

Volume of large cone = 452.448 cubic units.

Since the height of the small cone is quarter of the height of the large cone, we have:

Height of small cone = 1/4 × 12 = 3 units.

Radius of small cone = 12/18 = 3/2 = 1.5 units (similar triangles by AAA).

For the volume of the small cone, we have the following:

Volume of small cone = 1/3 × πr²h

Volume of small cone = 1/3 × 3.142 × 1.5² × 3

Volume of small cone = 3.142 × 2.25

Volume of small cone = 7.0695 cubic units.

Mathematically, we know that the volume of a frustum is made by subtracting the volume of a small cone from the volume of a similar large cone cone:

Volume of the frustum = Volume of large cone - Volume of small cone

Volume of the frustum = 452.448 - 7.0695

Volume of the frustum = 445.3785 cubic units.

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The subtraction between the functions f(x) = 4 · x - 8 and g(x) = - 3 · x + 1 is equal to (f - g) (x) = 7 · x - 9.

Herein we find f(x) and g(x) defined as linear functions and we are asked to find the subtraction between two functions, which is defined below:

(f - g)(x) = f(x) - g(x)

If we know that f(x) = 4 · x - 8 and g(x) = - 3 · x + 1, then the result of the subtraction of the two functions is:

(f - g) (x) = f(x) - g(x)

(f - g) (x) = (4 · x - 8) - (- 3 · x + 1)

(f - g) (x) = 7 · x - 9

The subtraction between the two functions is (f - g) (x) = 7 · x - 9.

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Answer:

135 degrees

Step-by-step explanation:

a triangle rule is sum of all three angles equal 180

We know one angle of the triangle angle is 45 degrees because of the corresponding angle below it

So we just subtract 45 from 180

180-45=135

hopes this helps please mark brainliest

The required value of x is x = [tex]\sqrt{79}[/tex]

Given : A right angled triangle

This right angles triangle is again divided in two parts

the first part has measures 3 , z and the other side can be calculated by using The Pythagoras Theorem

According to this theorem

3² + z² = y²

thus 9 + z² = y² ------------------equation 1

Also 7 + 3 = 10

thus 10²  = z² + x²-----------------equation 2

And 7² + y² = x² --------------- equation 3

from equation 1 we know

9 + z² + 49 = x²

58 + z² = x²

Thus on substituting this in equation 2 we get

100 = 58 + z² + z²

42 = 2z²

21 = z²

z = [tex]\sqrt{21}[/tex]

thus x² = 58 + 21 = 79

x = [tex]\sqrt{79}[/tex]

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The tank with the smallest surface area has dimensions of 6ft.

s = 12ft and h = 6ft.

A(s) = s² + 4 × (V ÷ s)

The rectangular tank has a capacity of 864 feet.

Let the square base's long sides be.

Let h represent the tank's height.

Let A represent the tank's whole area.

A = (Base Area) + (4 × Lateral Area)

Lateral Area = s × h

Lateral Area = s × (V ÷ s²)

Lateral Area = (V ÷ s)

Base Area = s²

Compared to the objective function,

A(s) = s² + 4 × (V ÷ s)

A(s) = s² + 4 × (864 ÷ s)

The area function's derivative,

A'(s) = 2s - (3456 ÷ s²)

The smallest surface area is now.

A'(s) = 0

2s - (3456 ÷ s²) = 0

2 × [tex]s^{3}[/tex] = 3456

[tex]s^{3}[/tex] = 3456

s = [tex]\sqrt[3]{3456}[/tex]

s = 12ft

The volume is,

V = s² × h

864 = 12² × h

h = 6ft

As a result, the tank's height is 6 feet, and the square base's long sides measure 12 feet.

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The question is -

A rectangular tank with a square​ base, an open​ top, and a volume of 864 ft cubed is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function.

The values of the variables x and y in the triangle are 1.25 and 1.75

The tringle represents the given parameter

On the triangle, we have the following equivalent ratio

5 : 8 = 5 + x : 10

7 : 8 = 7 + y : 10

These are true because the horizontal lines of the triangles are parallel

So, we have

5 : 8 = 5 + x : 10

Express as fraction

5/8 = 5 + x/10

This gives

5 + x = 6.25

Solve for x

x  = 1.25

Similarly, we have

7 : 8 = 7 + y : 10

So, we have

7/8 = 7 + y/10

This gives

7 + y = 10*7/8

Evaluate

7 + y = 8.75

So, we have

y = 1.75

Hence, the values of x and y are 1.25 and 1.75

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Using a proportional relationship, it is found that:

a) The equation is: y = 63/x.

b) When x = 21, the numeric value is of y = 3.

A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.

When the two variables are inversely proportional, we have a inverse proportional relationship, in which the output variable y is obtained by the division of k by the input variable x, as follows:

y = k/x.

For this function, when y = 7, x = 9, hence the constant is obtained as follows:

7 = k/9

k = 9 x 7

k = 63.

Hence the equation is:

y = 63/x.

The numeric value of the function when x = 21 is given as follows:

y = 63/21 = 3.

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We are going to use these properties :

1. (a^m)^n = a^mn
2. a^m x a^n = a^(m+n)
3. a^m : a^n = a^(m-n)

Using the first property, (3^6)^5 = 3^(6x5) = 3^30

Using the second property :
9 = 3^2
-> 9 x 3^7 = 3^2 x 3^7 = 3^(2+7) = 3^9

Therefore, it is simplified down to 3^30 : 3^9

Finally, we will use the third property :
3^30 : 3^9 = 3^(30-9) = 3^21

Answer: Row: 9 Column: 9

Step-by-step explanation:

Carol wants a square garden that means the amount of plants must be square, which it is so the square root of 81 is 9 so the square is 9 by 9

The probability of spinning a 1 is the same for both spinners: False​

The spinners that complete the question are added as an attachment

From the attached figures, we  have

Spinner 1

Number of 1 = 1

Sections = 4

Spinner 2

Number of 1 = 2

Sections = 6

The probability of obtaining 1 is calculated as

P(1) = Number of 1/Sections

So, we  have

Spinner 1

Number of 1 = 1

Sections = 4

P(1) = 1/4

Spinner 2

Number of 1 = 2

Sections = 6

P(1) = 2/6

By comparison

1/4 and 2/6 do not have the same value

Hence. it is false that the probability of spinning a 1 is the same for both spinners

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By using the trial method we get a total number of trials taken by Charlie to see both sides of both the coins is 4.

Probability is the name of the area of mathematics that deals with the examination of random events. The ratio of favorable occurrences to the total number of events is used to calculate an event's probability.

P(E) = F(E)/T (E)P(E)

It stands for the probability that an event will occur.

F(E) = Amount of favorable occurrences

Total number of trials (T(E))

Given that Charlie has 2 fair coins.

If he tosses the pair of coins simultaneously, then the number of samples can be HH, HT, TH, TT.

So to see both sides of both the coins he should toss the coin four times.

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There are 336 to select a set of 8 donuts from 3 varieties,  where the donuts of the same variety are indistinguishable.

here the total number of   8 donuts of a set needs to make from a given variety of 3, since here the orders so,  we need to use permutations.A permutation of a set is an arrangement of its individuals into a grouping or direct order, or in the event that the set is as of now ordered, a modification of its elements. It alludes to the act or preparation of changing the direct arrange of a requested set. Permutations vary from combinations, which are determinations of a few individuals of a set in any case of an order.

the formula for permutations is :

P(n,r) = n! /(n-r)! , here n i=8 and r = 3

P(8,3) =  8! /(8-3)!

          =  8* 7*6= 336

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We will need 100 more samples to make the margin error of 0.3 .

acc to our question-

Hence, We will need 100 more samples to make the margin error of 0.3 .

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The x-intercept of the equation is 13 and its interpretation in the context of the problem is the number of time in hours for which Lily left her house.

In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" is equal to zero (0).

Next, we would determine the number of time for which Lily has left her house since in the morning by substituting the value of B with zero (0) as follows:

B = -4t + 52

0 = -4t + 52

4t = 52

Time, t = 52/4

Time, t = 13 hours.

Therefore, the x-intercept of the given equation is (0, 13).

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Answer:

Step-by-step explanation:

20=v+9-16

So first, we combine like terms

20=v-7

Then we want to add 7 on each side

20=v-7

+7      +7

Then we are left with

27=v

Step-by-step explanation:

Subtract the numbers

20=v+9-16 =20=v-7

Add 7 to both sides

20=v-7

20+7=v-7+7

Then simplify P.S if you dont know how to comment on the answer

ANSWER v=27

The sum X to the power of two plus X to the power of three be written in simpler form is X² + X³.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.

For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

Based on the information given, this will be illustrated as X² + X³. In this case, it illustrate the addition of exponents.

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The cost of a pizza with an 11 inch radius is  $26.86

In this question, the cost of a pizza varies directly as the square of its radius.

Let C be the cost of pizza and r be the radius of Pizza.

We have been given the direct proportionality between the cost of pizza and the radius of Pizza.

C ∝ r²

If a pizza with a 6 inch radius costs $8.00

8 = k * 6^2

where k is the proportionality constant.

8 = k * 36

k = 0.222

We need to find the cost of pizza with an 11 inch radius.

so, we get an equation,

C = k * 11^2

substitute above value of k

C = 0.222 * 11^2

C = 0.222 * 121

C = $26.86

Therefore, the cost of a pizza with an 11 inch radius is  $26.86

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Answer:

.444....

Step-by-step explanation:

4 out of 9 is   4/9      or   4 ÷ 9 = .444...

The required number of ounces of nuts would be 1/2 in each granola bar.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

She will use 12.5 ounces of walnuts to make 25 granola bars which is given in the question.

To determine the number of ounces of nuts in each granola bar

Let the number of ounces of nuts in each granola bar would be x

As per the given situation, we can write a ratio as

12.5 ounces : 25 bars = x ounces : 1 bars

⇒ 12.5 / 25 = x / 1

⇒ 1/2 = x

⇒ x = 1/2

Thus, the required number of ounces of nuts would be 1/2 in each granola bar.

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Answer: sure:)

Step-by-step explanation:

Answer: Stacy is 12 years old

Step-by-step explanation:

36/4 = 12

The loan amount at the end of 2 years is Rs. 12,127 .

In the given question we have, amount Rs. 11500 is borrowed by investor at the interest rate of 6% per annum.

compund interest is defined as the addition of interest to the principal of loan.

principal (P) = 11500

If interest is compunded quarterly then time(t) = 3 years = 12 , rate ( r%) = 6/4% = 2/3 %

Using the formula of Amount ,

Amount = P( 1 + r / 100) ᵗ

= 11500( 1 + 2/ 300)⁸

= 12127.83 ~ 12128

compound interest = Amount - principal =

12128- 11500 = Rs. 628

So, An investor has to pay total Rs. 12128 at the end of 2- year.

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Answer:

Step-by-step explanation:

a. The numerical expression representing the changes in Yu Yan's account is x = 25 + 32.75.

b. After evaluating expression (a), we see that $57.75 is the total amount changed from her account.

What is a numerical expression?

In mathematics, a numerical expression is a combination of sets of numbers and integer combined using addition, subtraction, multiplication, or division. When used with mathematical operators like addition, subtraction, multiplication, or division, it is said that a numerical expression is a combination of different integer numbers. The following are a few typical examples of numerical expressions: 5 + 10150 - 2520 × 2 + 5 40 ÷ 10 × 2 - 8 + 1 75 + 6 - 8.

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Answer:

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

Find the total cost to produce 3575 chairs. It includes the fixed costs as well as the variable cost per chair.

Add the profit we want to have

This is the minimum amount to be made from sale.

Find minimum sales price per chair:

This is matching the first answer choice.

Answer:

162.006

Step-by-step explanation:

Answer:

Length would be 6ft

Width would be 4ft

Step-by-step explanation:

24ft^2 is the area as we know 6x4 = 24 and 4 is two less than 6, therefor your answer is 4 and 6.

Answer:

c = -5

Step-by-step explanation:

6c + 14 = -5c + 4 + 9c

1) We want to first combine the c values on the right side. This would give us 6c + 14 = 4c + 4.

2) Next, we want to move the c value to one side of the equation. This means we would subtract 4c from the right side. This gives us 2c + 14 = 4.

3) We can then subtract 14 from the left side to isolate the c value. This gives us 2c = -10.

3) We can then divide both sides by 2 and get the answer for c.

This gives us c = -5.