Given that 1 pound = 16 ounces, convert 80 ounces to pounds.

The expression simplified can be written as:

16m +  8

Here we want to simplify the following expression:

(8m + 4) + (8m + 4)

To simplify, we start by removing the parenthesis:

8m + 4 + 8m + 4

Now we can change the order of the terms so we get:

8m + 8m + 4 + 4

Now we can group the like terms to get:

(8m + 8m) + (4 + 4)

And simplify this to get:

16m +  8

That is the simplified expression.

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The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

it is a many to one function

The triangles ABC and DBE are similar by the SAS similarity theorem

The measure of the side lengths AC is 16 units

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DBE

These triangles have the following measures

This means that the triangles are similar by the SAS similarity theorem

Using the SAS similarity theorem, we have the following equation

(x + 1)/12 = (x + 5)/15

Cross multiply the equation

15x + 15 = 12x + 60

So, we have

3x = 45

Divide by 3

x = 15

This means that

x + 1 = 15 + 1 = 16

x + 5 = 15 + 5 = 20

Hence, the measure of the side lengths are 16 and 20 units

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Answer:

But the 2lbs.

Step-by-step explanation:

Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.

You're welcome.

Answer:

51,000 thousand

Step-by-step explanation:

the miles are above 500 , 600 so they rounded up to 51,000

Hope that helped :) have a great day !

Answer:

The distance driven by the McAlister family car in one year, to the nearest thousand, is 51,000 miles

A projectile have a minimum speed at the highest point of its trajectory. This is because horizontal speed of the projectile remains constant.

Since the only force exerted on the projectile is gravity, which is

9.8 ms ^2  acting downwards and has no effects on the horizontal velocity.The maximum height the pumpkin reaches occurs at 62.5 horizontal meters from its launching spot.

The calculation is as follows;

The equation is y = -0.008x^2 +x

that corresponds to a curve presented by a parabola.

Now we can determine the maximum of this parabola with arms pointing down requesting the derivative slope of the tangent line to

the curve to be zero

So,= 62.5m

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The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

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Answer && Step-by-step explanation:

We know f(x) transcribes towards -x axis. thus ruling out b and d (remember signs opposite of what they mean on the board, you would think +# =towards x axis and vice versa also note if multiplied by a negative on the outside, flips signs inside)

choosing A.

plug in values of -x to see if you can get ~= to graph so -5 to -1

x: -5, -4, -3, -2, -1

y: -2, -.25, 0, .25, 2

checks out., A is your answer

The equation for f(x) is F(x) = 1/4(x+3)²

Given is a graph, showing the function g(x) = x³, we need to find the equation for the function f(x) in the graph,

We know f(x) transformed towards x-axis.

We see that, there is a left shift of 3 units, so the function will be (x+3)³

Also, the graph is spread out 4 units, so the function can be 1/4(x+3)³

Hence, the equation for f(x) is F(x) = 1/4(x+3)²

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Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

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Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Answer:

y=6

Step-by-step explanation:

y+6 3

----- = ----

8 2

2(y+6)=8(3)

2y+12=24

2y=24-12

2y = 12

---- ----

2 2

therefore y=6

Answer:

it will be 6 im 100%

Step-by-step explanation:

y=6

The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.

First, we can label the triangle as follows:

Side a is opposite angle A,

Side b is opposite angle B,

Side c is the hypotenuse.

Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.

Using the sine function, we have:

sin(B) = opposite/hypotenuse

sin(37.56°) = a/b

Now we can substitute the known values:

sin(37.56°) = 49.94/b

To solve for b, we rearrange the equation:

b = 49.94 / sin(37.56°)

Using a calculator, we find:

b ≈ 80.02 feet.

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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

-18x square y -+36xy square + 54 xy - 1

Step-by-step explanation:

collect the terms, calculate the product, collect the terms, then distribute

If 40 represents 50%, to find which number represents 100%, we can use the next proportion

Solving for x,

Then, 40 is 50% of 80

For the given right triangle, the perimeter is 60cm, so the correct option is D.

We can see a right triangle, by using the Pythagorean theorem we can get the missing cathetus:

\(a^2 + (20cm)^2 = (25cm)^2\)

\(a = \sqrt{(25cm)^2 - (20cm)^2} = 15cm\)

Now we know the measure of the 3 sides, then the perimeter of the given triangle is:

P = 15cm + 20cm + 25cm = 60cm

The perimeter of the triangle is 60cm.

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Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

n=11

Step-by-step explanation:

By inspection,we see that an output is obtained by subtracting 3 from an input and the next consecutive output will follow a pattern of a difference of odd numbers that is 9+5=14

so n=14 and 14-3=11

40% means "40 out of 100"

    40 ÷ 100 = 0.40

So, 40% = 0.40 as a decimal

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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Answer: 8 feet

Step-by-step explanation: The easiest way to solve this is to picture looking at it from the square side. What you are trying to find is the perimeter of the square side times 2 due to it having 2 loops of tape.

If one side of one box is 6 inches, and there are 2 boxes that make up one side, then the length of the squares side is 6 + 6 = 12. That makes the perimeter of the square 4*12, or 12 + 12 + 12 + 12 = 48 inches. This means one loop of tape is 48 inches long.

Because she uses 2 loops of tape, she used 48 * 2 = 96 inches, and accounting for the change in units from inches to feet: 1 ft = 12 in -> 96in/12 inches per foot = 8 feet of tape used.

Hope this helps!

Answer:

False

Step-by-step explanation:

Although it is true that y=-2 is a horizontal line, it does not have an undefined slope. Because it is a horizontal line, it has a slope of 0.

Answer:

a

Step-by-step explanation:

Both the exponential and logarithmic functions tend to infinity.

Answer:

A, -1.2/42.7

Step-by-step explanation:

for finding the slope, remember the equation y1-y2/x1-x2

3.1-4.3=-1.2

1.35--41.35=1.35+41.35=42.7

-1.2/42.7 would be the slope.

Hope this makes sense!!! Have a great day!

Answer: C

Step-by-step explanation:

Given

Displacement vs time graph is shown with Point from A to G

from A to C displacement increases with time such that the slope of the x-t graph is positive

from C to D it is almost zero; from D to F it is negative

Also, slope of x-t graph is velocity

Thus, the positive velocity is seen in A to C