Use the graph to write a formula for the polynomial function of the least degree

Answer:

A

Step-by-step explanation:

43987-32650= 11337

And it’s more

Answer:

Step-by-step explanation:

tax

Answer:

The domain of a function is the set of all real numbers for which the function is defined. In this case, the function is defined when the denominator is not equal to zero. The denominator is equal to zero when x=1. Therefore, the domain of the function is all real numbers except for x=1.

In interval notation, the domain is written as

(-∞,1) ∪ (1,∞)

Step-by-step explanation:

For the function  \(A(t)=4000e^0^.^0^4^t\) the value of A'(8) is $220 and the value of \(A'(t)=160e^0^.^0^4^t\)

The given function is \(A(t)=4000e^0^.^0^4^t\) gives the balance after t years.

The initial investment is 8000

4% is the compounded interest.

Now differentiate with respect to t

\(A'(t)=0.04(4000)e^0^.^0^4^t\)

\(A'(t)=160e^0^.^0^4^t\)

Now let us find the value of A'(8)

Plug in t as 8

\(A'(8)=160e^0^.^0^4^(^8^)\)

A'(8)=220.3

Hence, the value of A'(8) is $220 and the value of \(A'(t)=160e^0^.^0^4^t\)

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Answer:

31.25%

Step-by-step explanation:

Answer:

<Q = 30

Step-by-step explanation:

2x + 70 + x - 10 = 180

3x + 60 = 180

3x = 120

x = 40

x - 10

40 - 10

30

<Q = 30 because of vertical angles

x = 20

Hi there !

12 .........60%

x............100%

x = 12×100/60

= 1200/60

= 20

Good luck !

Answer:

Step-by-step explanation:

How to find the mean of the probability distribution: Steps

Step 1: Convert all the percentages to decimal probabilities. For example: ...

Step 2: Construct a probability distribution table. ...

Step 3: Multiply the values in each column. ...

Step 4: Add the results from step 3 together.

Answer:

the value of c is 25

Step-by-step explanation:

b/2a= 10/2(1)= 10/2= 5

(5)^2 = 25

x^2 + 10x + 25 = (x + 5)^2

Answer:

7

Step-by-step explanation:

V = l x w x h

=7/2 x 4/3 x 3/2

=84/12

=7 feet cubed

He will use 9.375 acres of the land for the park

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

Since the land is 21.5 acres and 0.75 of the land  was used for a park. we can write:

acres used for the park = 0.75 × 12.5 = 9.375 acres

Thus, he will use 9.375 acres for the park

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Answer:

94

Step-by-step explanation:

Answer:

94 is the answer

Step-by-step explanation:

The formula for (f . g)(x) when f(x) = x³+ 2 and g(x) = x - 2 is written as

simplifying results to

The given functions in the problem are: f(x) = x³+ 2 and g(x) = x - 2

The function   (f . g)(x) = (x³ + 2)(x - 2)

Simplifying involves expanding the equation and this gives

(x³ + 2)(x - 2)

x⁴ - 2x³ + 2x - 4

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Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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Answer:

136 units²

Step-by-step explanation:

5x7=35

5x7=35

6x7=42

1/2(4)(6)=12

1/2(4)(6)=12

35+35+42+12+12=136

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

The entrepreneur's revenue is  $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is  $625x - $33,750

The entrepreneur's revenue from x sold-out performances is given by the formula:

Revenue = (Price per Performance) x (Number of Performances)

Revenue = $2325 x x

Revenue = $2325x

The entrepreneur's cost from x sold-out performances is given by the formula:

Cost = Overhead + (Production Cost per Performance) x (Number of Performances)

Cost = $33,750 + $1700x

The entrepreneur's profit from x sold-out performances is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $2325x - ($33,750 + $1700x)

Profit = $625x - $33,750

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Answer:

less than .1 the product

First thing we do is multiply the mixed numbers.

Let 2 1/5 x 8 1/3 = (11/5)(25/3) = 55/3.

Using a calculator, we know that 55/3 = 18.3333333333 or simply 18.33.

Let's now go to the given choices.

1. The product will be less than 1.

This is not true.

2. The product will be greater that 1, but less than both factors.

This is not true.

3. The product will be greater than both factors.

This is true.

4. The product will be greater than one factor and less than the other factor.

This is not true.

Answer: The product will be greater than both factors.

Step-by-step explanation:

a probability is always desired cases over total possible cases.

so, we have actually 8 systems (5 + 3) we can pick from.

therefore, the total possible cases are 8.

the desired case is in this question to pick one of the 3 Wii consoles.

the probability to pick a Wii is therefore

3/8 = 0.375

Answer:

3/8, or 37.5%

Step-by-step explanation:

There are 8 different playing devices there.

There are only 3 Nintendo Wii consoles.

So, the probability is 3/8

The coordinates of the y-intercept are (0, 3.5) and the coordinates of the x-intercepts are (-17.5, 0). Using these coordinates, the graph of the equation is shown below.

From the question, we are to graph the given linear equation.

To graph the equation,

We will determine the coordinates of the x-intercepts and y-intercepts.

When x = 0

y = 1/5x + 3.5

y = 1/5(0) + 3.5

y = 3.5

(0, 3.5)

When y = 0

y = 1/5x + 3.5

0 = 1/5x + 3.5

Multiply through by 5

0 = x + 17.5

x = -17.5

(-17.5, 0)

Using the coordinates of the x-axis and y-axis, the graph of the equation is shown below.

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An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Step-by-step explanation:

(a)

If m is an odd integer, then m + 1 is an even integer.

m (odd integer) m + 1 (even integer)

1 2

3 4

5 6

... ...

Proof:

Suppose m is an odd integer. We can write m as 2n + 1 for some integer n. Then,

m + 1 = (2n + 1) + 1 = 2n + 2

Since 2n + 2 is clearly an even integer, it follows that m + 1 is an even integer if m is an odd integer.

(b)

If x is an even integer and y is an odd integer, then x + y is an odd integer

x (even integer) y (odd integer) x + y (odd integer)

0 1 1

2 3 5

4 5 9

... ... ...

Proof:

Suppose x is an even integer and y is an odd integer. We can write x as 2n and y as 2m + 1 for some integers n and m. Then,

x + y = 2n + (2m + 1) = 2(n + m) + 1

Since n + m is clearly an integer, it follows that x + y is an odd integer if x is an even integer and y is an odd integer.

(c)

If m is an even integer, then 3m^2 + 2m + 3 is an odd integer.

m (even integer) 3m^2 + 2m + 3 (odd integer)

0 3

2 27

4 99

... ...

Proof:

Suppose m is an even integer. We can write m as 2n for some integer n. Then,

3m^2 + 2m + 3 = 3(2n)^2 + 2(2n) + 3 = 12n^2 + 4n + 3

Since 12n^2 + 4n + 3 is clearly an odd integer, it follows that 3m^2 + 2m + 3 is an odd integer if m is an even integer.

Answer:

B

Step-by-step explanation:

Using a minor key within a song is usually to make it more sad or negative in emotion, though with this question the fast tempo should already rule out A because it is quite the opposite to laziness.

Answer:

$62,790

Step-by-step explanation:

Answer:

store Y

Step-by-step explanation

Answer:

The equation is y = 50 + 25x. The slope is the additional cost per hour, and the y-intercept is the cost of the service call to appear at the house.

The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Answer:

First translation:  Horizontal Translation
Second Translation:  Reflection over horizontal line

Step-by-step explanation:

Reflection over a line creates a mirror image of the original image relative to the line

Horizontal translation shifts the image to the right or left only relative to the original position and along the x-axis only

Actually, first translation =reflection over horizontal line and second translation of horizontal translation will also result in the same.

9514 1404 393

Answer:

  2.2 miles

Step-by-step explanation:

The Law of Cosines can be used to figure this.

  c² = a² +b² -2ab·cos(C)

  c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348

  c ≈ √4.811348 ≈ 2.193

It is about 2.2 miles across the water from the pier to the restaurant.