Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2.
exponential function going through points 0, negative 2 and 2, 6
x = −4
x = −2
x = 2
x = 4

The equation to determine p, which is the total number of player at the basketball game, is 12 = p x 3 / 4 .

The number of players at the basketball game is 16 players .

The equation to find the number of players is;

Players who chose water = total players x proportion of players who chose water

12 = p x 3 / 4

This means that solving for p gives :

12 = p x 3 / 4

12 ÷ 3 / 4 = p

p = 12 ÷  3 / 4

p = 12 / 0.75

p = 16 players

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When comparing hash values, if the provided hash value matches the one you calculated, it means that the file you have received is identical to the original file used to calculate the hash. This implies that the file has not been modified or tampered with since the hash was generated.

However, it is important to note that a matching hash value does not guarantee that the file is completely safe or trustworthy. Hash functions are designed to generate a unique hash value for each unique input, but it is still theoretically possible for two different files to have the same hash value (known as a collision). Although the chances of a collision are extremely low with well-designed hash functions, it is not entirely impossible.

Therefore, while a matching hash value provides some level of confidence that the file has not been altered, it does not guarantee the integrity or security of the file. Other factors should be considered, such as the source and reputation of the file, the context in which it was obtained, and the presence of any additional security measures or verification methods.

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The measure of this angle is 172°.

Circumference: Any shape's circumference establishes the path or boundary that encircles it. To put it another way, the circumference and perimeter both refer to the length of a shape's outline.

When two of its rays pass through the endpoints of an arc, line segment, or other section of a curve, the angle is subtended by that arc, line segment, or other section of the curve.

From the information provided.

The circle's 1/360th circumference measures 0.5 cm in length.

Total circumference of circle now will be

360*0.5cm

= 180cm

However, if a 360° angle is equivalent to a circumference of 180 cm;

Then, an angle that subtends with 86 cm long will be:

=(86/180)*360

=172°.

Therefore, the measure of this angle is 172°

Given Question is incomplete complete question here

A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 86 cm long. 1/360th of the circumference of the circle is 0.5 cm long. What is the measure of this angle in degrees?

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The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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The factorization of the expression gives 2x^2 ( 6x - 1) + 3 ( 6x - 1). Option A

Factorization is simply writing a number or another mathematical expression as a product of several factors, which is usually a smaller or simpler objects of the same kind.

For example, 2 × 5 is a factor of the integer 15

Given the expression

12x3 - 2x2 + 18x - 3

Let's group into two, we have;

(12x^3 - 2x^2) + ( 18x - 3)

Let's factor out the common terms

2x^2 ( 6x - 1) + 3 ( 6x - 1)

Thus, the factorization of the expression gives 2x^2 ( 6x - 1) + 3 ( 6x - 1). Option A

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Quarts of detergent 1208

First, we convert each unit to its pint equivalent.

1 gallon =eight US Pint

114 gallons =114 X eight =912 Pint

34 gallon =34 X 8 =272 Pint

further, 1 quart =2 Pint

12 quart = 12 X 2 Pint =24 Pint

including the three values

912+272+24=1208 Pint

therefore, Meredith will want 1,208 Pint boxes.

The unitary technique is a way of solving trouble by way of first finding the fee of a single unit, and then finding the essential value with the aid of multiplying the unmarried unit price.

The system of the unitary technique is to locate the fee of an unmarried unit after which multiply the fee of a single unit to a wide variety of devices to get the vital fee.

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Answer:

C. 20

Step-by-step explanation:

20 is the only value that makes x true. Basically x = 20.

We find this by doing the "good ol' Isolate the variable by dividing each side by factors that don't contain the variable."

Hope this helps and have a nice day!

Answer:

13-+4

Step-by-step explanation:

Answer:

12 miles below sea level

Step-by-step explanation:

Answer:

CD = 12.81

Step-by-step explanation:

2 x CS = CA

2x4 = 8 = CA

10 = AD

\(CD = \sqrt{(CA^{2} +AD^{2}) }\)

\(CD = \sqrt{(8^{2}+10^{2} ) }\)

\(CD = \sqrt{(64+100) } \\CD= \sqrt{164} \\CD=12.81\)

Your answer will be:

(p - 9) (p + 4) in factored form.

We have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

To solve the given equations for the equilibrium values of C, NX, CF, r, and ε, let's go step by step.

First, we'll substitute equations (2), (3), (4), (5), (6), (7), (8), and (9) into equation (2) to eliminate the variables C, I, G, NX, CF, and T.

Equation (2) becomes:
Y = (1/2)(Y - T) + (2,000 - 100r) + 1,500 + (500 - 500ε)

Next, let's simplify the equation:

Y = (1/2)(Y - 1,000) + 2,000 - 100r + 1,500 + 500 - 500ε

Distribute (1/2) to the terms inside the parentheses:

Y = (1/2)Y - 500 + 2,000 - 100r + 1,500 + 500 - 500ε

Combine like terms:

Y = (1/2)Y + 3,500 - 100r - 500ε

Now, let's isolate Y by subtracting (1/2)Y from both sides:

(1/2)Y = 3,500 - 100r - 500ε

Multiply both sides by 2 to get rid of the fraction:

Y = 7,000 - 200r - 1,000ε

We now have one equation (10) in terms of Y, r, and ε.

Next, let's substitute equation (1) into equation (10) to solve for Y:

5,000 = 7,000 - 200r - 1,000ε

Subtract 7,000 from both sides:

-2,000 = -200r - 1,000ε

Divide both sides by -200:

10 = r + 5ε

This gives us equation (11) in terms of r and ε.

Now, let's substitute equation (11) into equation (5) to solve for NX:

NX = 500 - 500ε

Substitute r + 5ε for ε:

NX = 500 - 500(r + 5ε)

Simplify:

NX = 500 - 500r - 2,500ε

This gives us equation (12) in terms of NX, r, and ε.

Finally, let's substitute equation (12) into equation (6) to solve for CF:

CF = -100r

Substitute 500 - 500r - 2,500ε for NX:

CF = -100(500 - 500r - 2,500ε)

Simplify:

CF = -50,000 + 50,000r + 250,000ε

This gives us equation (13) in terms of CF, r, and ε.

To summarize, we have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

These equations represent the equilibrium values of Y, r, ε, NX, and CF in the given open economy.

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Answer:

45g² + 30g

Step-by-step explanation:

5g(8g+6)

Distribute 45g² + 30g

Answer:

\(\huge{\boxed{\boxed{\tt { Answer :-}}}} \ \)

\(5g(8g + 6) \\ =( 5g \times 8g) + (5g \times 6) \\ = 40g {}^{2} + 30g\)

➟ Answer :- 40g² + 30g

{(-5,-6), (1,4), (5,0), (-6,8)} shows a relation.

What is Relation?

In general, a relation is a connection or association between two or more things. In mathematics, a relation is a set of ordered pairs that describe the relationship between elements of one or more sets.

To check if the relation is a function, we need to make sure that for every input value (the first element of each ordered pair), there is exactly one output value (the second element of each ordered pair).

We can see that the given relation has four ordered pairs:

{(-5,-5), (1,4), (5,0), (-6,8)}

To check if this is a function, we need to check if there are any repeated input values with different output values. If there are any, the relation is not a function.

We see that the input value -5 appears twice, once with output value -5 and once with output value -6. Therefore, the given relation is not a function.

To ensure that it becomes a function, we need to remove one of the ordered pairs that have the input value -5. Let's remove the pair (-5,-5) and add the pair (-5,-6) instead. This would result in the following relation:

{(-5,-6), (1,4), (5,0), (-6,8)}

Now, for every input value, there is exactly one output value, and thus this is a function.

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Answer:

Step-by-step explanation:

15% of $125

125 : 100 * 15 = 18.75

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

check

18.75 : 15 * 100 = 125

the answer is good

Answer:

total surface area = 936 in²

Step-by-step explanation:

total surface area  = surface area of the pyramid + surface area of the cube

1.  surface area of the pyramid = 4 * area of lateral triangle side

area of lateral triangle side = 12 * 9 /

area of lateral triangle side = 54 in²

2. surface area of the pyramid = 4 * 54

surface area of the pyramid = 216 in²

3. surface area of the cube = 5 * (12 x 12)

-surface area of the cube = 720 in²

therefore, the total surface area = 216 in² + 720 in²

total surface area = 936 in²

Answer:

C

Step-by-step explanation:

Please refer to the given picture (sorry, it's a rather bad drawing.)

Anyways, we know that the cube has side lengths of 12. Since the figure is a cube, all the side lengths are 12. Let's find the surface area of the cube first.

The cube has six faces. However, we only need to do five faces because one of the faces is the face that connects the cube to the pyramid. Because of this, we won't count it towards the surface area. Therefore, the total surface area of the cube would be:

\(5(bh)\)

The bh represents the area of one face. The five multiplies that amount by five, giving us the surface area of the cube. Plug in 12 for the base and 12 for the height:

\(5(12)(12)=5(144)=720\)

Therefore, the surface area of the cube (excluding one face) is 720 square inches.

Now, find the surface area of the square pyramid. The square pyramid is composed of four congruent triangles and one square base. Again, since the square base is connecting it to the cube, we won't count it. So, we only need to find the area of the four triangles and then add it to 720.

We are given that the height of the pyramid is 9. The base of all four triangles is 12 (since the side length of the cube is 12). However, to find the area, we first need to use the Pythagorean Theorem to determine x or the actual height of one of the triangles. We won't use 9 as the height because the 9 doesn't represent the height of the triangle, but rather of the pyramid. x is essentially the hypotenuse here. Thus:

Pythagorean Theorem:

\(a^2+b^2=c^2\)

Plug in 9 for a, 12 for b, and x for c:

\(9^2+12^2=x^2\\x^2=81+144=225\\x=\sqrt{225}=15\)

Therefore, the height of the triangles is 15. Now, we can use the area formula for triangles:

\(A=\frac{1}{2} bh\)

The base is 12 and the height is 15. Thus:

\(A=\frac{1}{2}(12)(15)=6(15)=90\)

And there are four of them, so the total surface area is:

\(4(90)=360\)

Therefore, the total surface area of the composite figure (excluding the one face) is:

\((720+360)=1080\text{ in}^2\)

Answer:

a)

Step-by-step explanation:

he drives every workday of the week 10 miles for work.

that is 5 data every week. so the total miles driven for work during the week is

5×10 = 50 miles.

he can drive with a full tank 100 miles.

so, the remaining miles for the weekend are

100 - 5×10 = 50 miles

Answer:

\(x = 30 \\ y = 10\)

Step-by-step explanation:

\(8x + 6y = 300 \\ x + y = 40 \\ 6x + 6y = 240 \\ 2x = 60 \\ = > x = 30 \\ y = 10\)

Answer:

7lbs

Step-by-step explanation:

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i

We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i

Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i

Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

i is called the imaginary number.

i = √-1

The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3i (4 - 3i) - i(2 + 1)

i is called the imaginary number.

i = √-1

Remove the parenthesis.

3i x 4 - 3i x 3i - i x 2 - i x 1

12i - 9i² - 2i - i

[ i² = -1 ]

12i + 9 - 2i - i

Add like terms

12i + 9 - 3i

9i + 9

Thus,

The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.

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Answer: Simplify:

"The sum of m and 3" => m + 3

"[the whole] divided by" => (m + 3)/

"The difference of m minus 3" => m - 3

(m + 3)/(m - 3) is your answer

This question is asking to create 5 of your own questions, so here are mine with the process on how I got each:

Question 1: Given c(x) = 8x + 32, find the range of c for the domain {1, 3, 5}.

Answer w/ Process:

For each equation, I am plugging in each domain value for x in the function, multiplying by 8, and adding by 32.

c(1) = 8(1) + 32 = 8 + 32 = 40

c(3) = 8(3) + 32 = 24 + 32 = 56

c(5) = 8(5) + 32 = 40 + 32 = 72

Range: {40, 56, 72}

Question 2: Given d(x) = x - 7, find the range of d for the domain {-2, 3}.

Answer w/ Process:

For each equation, I am plugging in each domain value for x in the function, and subtracting 7.

d(-2) = -2 - 7 = -9

d(3) = 3 - 7 = -4

Range: {-9. -4}

Question 3: Given f(x) = 7x + 738, find the range of f for the domain {1.5, 11}.

Answer w/ Process:

For each equation, I am plugging in each domain value for x in the function, multiplying by 7, and adding 738.

f(1.5) = 7(1.5) + 738 = 10.5 + 738 = 748.5

f(11) = 7(11) + 738 = 77 + 738 = 815

Range: {748.5, 815}

Question 4: Given g(x) = -2804x + 7268, find the range of g for the domain {50, 75, 256}.

Answer w/ Process:

For each equation, I am plugging in each domain value for x in the function, multiplying by -2804, and adding 7268.

g(50) = -2804(50) + 7268 = -140200 + 7268 = -132932

g(75) = -2804(75) + 7268 = -210300 + 7268 = -203032

g(256) = -2804(256) + 7268 = -717824 + 7268 = -710556

Range: {-132932, -203032, -710556}

Question 5: Given h(x) = -3x - 4, find the range of h for the domain {1, 2, 3}.

Answer w/ Process:

For each equation, I am plugging in each domain value for x in the function, multiplying by -3, and subtracting by 4.

h(1) = -3(1) - 4 = -3 - 4 = -7

h(2) = -3(2) - 4 = -6 - 4 = -10

h(3) - -3(3) - 4 = -9 - 4 = -13

Range: {-13, -10, -7}

b(-3)

b(5)

b(9)

Range

Rest questions

#1

k(x)=2x²-5

Find the range of k for domain {1,2,6}

#2

h(x)=9x³

Find the range of h for domain {9,0,8}

#3

o(x)=6x-7

find the range of o for domain {0,1,9}

#4

p(x)=23x²-5x

Find the range of p for domain {3,4,8}

The null and alternative hypotheses for a hypothesis test of the difference in two population means are as follows:
Null hypothesis (H0): There is no significant difference between the means of the two populations.
Alternative hypothesis (Ha): There is a significant difference between the means of the two populations.


When conducting a hypothesis test to compare the means of two populations, we want to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. The null hypothesis assumes that there is no difference between the population means, while the alternative hypothesis suggests that there is a difference.

To illustrate this, let's consider an example:

Suppose we want to compare the average test scores of students from two different schools. We can state the null and alternative hypotheses as follows:

Null hypothesis (H0): The mean test scores of students from School A and School B are equal.
Alternative hypothesis (Ha): The mean test scores of students from School A and School B are not equal.

In this case, the null hypothesis assumes that there is no significant difference in the average test scores between the two schools. The alternative hypothesis, on the other hand, suggests that there is a significant difference in the average test scores.

To test these hypotheses, we would collect samples from both schools, calculate the sample means, and perform a statistical test (such as a t-test or z-test) to determine if the observed difference in means is statistically significant.

In summary, the null and alternative hypotheses for a hypothesis test of the difference in two population means state whether there is a significant difference or not between the means of the two populations under consideration.

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The correct choice is c. There is not convincing evidence because another confidence interval that uses a higher level of confidence might contain 0.

In hypothesis testing, when the confidence interval includes the value of interest (in this case, 0), it suggests that there may not be a significant difference between the proportions being compared. The confidence interval (-0.43, -0.02) contains the value 0, indicating that the difference in proportions may not be statistically significant.

Choosing a higher level of confidence would result in a wider confidence interval, making it more likely to include the value 0. Therefore, the evidence is not convincing enough to conclude a significant difference in the proportions of sales that are SUVs for the two stores.

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Answer:

the anwser is A Because is askibg the age of the student

9514 1404 393

Answer:

  n cm = 3 cm

Step-by-step explanation:

The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.

The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...

  A = lw + 1/2bh

  A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²

The lateral area is the product of the perimeter of the base and the depth of the prism.

  A = Ph

  A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²

The total surface area is the sum of the areas of the two bases and the lateral area:

  130 cm² = 2(6 +5n) cm² +(64 +8n) cm²

  130 = 76 +18n . . . . . . divide by cm², collect terms

  54 = 18n . . . . . . . . . subtract 76

  3 = n . . . . . . . . . . divide by 3

The value of n in centimeters is 3 cm.

Answer: 15

Step-by-step explanation:

So it is pretty much 60/4 which is easy 15 here is the work

1 5

4 6 0

- 4

2 0

- 2 0

0

Answer:

x ≥ $15

Step-by-step explanation:

At least means ≥

4x ≥ $60     Replace the inequality sign with an = sign and solve the equation.

4x = $60

x  = $60 ÷ 4

x = $15                 Now put the inequality sign back into the problem

 x ≥ $15

Answer:

22

Step-by-step explanation:

The flea jumped left 5 units 3 times which is 15 and then jumped right two units four times which is 8 so 15 + 8 = 22 so the position as an integer is 22.

Answer:

3p-p

Step-by-step explanation:

I always think of the negative sign out ruling the positive sign so let's do that for the -p part.

3p-p is what it becomes

Your question says simplify but just in case you want the answer here it is:

-p is also the same as -1p

So therefore we have

3p-1p

And we subtract the coefficients and keep the variable

2p would be your answer but once again I don't know if you wanted that so just to be sure I put 3p-p as my "answer".

Answer:

2y = 14 the correct answer is C