Differentiate the function. Then find an equation of the tangent line at the indicated point on the graph of the function.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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A thoughtful reflection that explains what the coach teaches Spencer would be best for Spencer to include next.

Writing that tells a tale or narrates a series of events is referred to as a narrative. It can be either nonfiction or fiction, and it can come in a variety of formats, including novels, short stories, memoirs, and personal essays.

Writing that is focused on the author's own experiences and frequently includes observations or insights on those experiences is known as personal narrative.

Spencer would do well to offer a thorough reflection that outlines what the coach teaches him.

Thus, this would shed light on Spencer's interactions with the new coach as well as the team's overall reaction to her. Additionally, it would advance the story and give the reader a better grasp of the predicament.

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The z-score for Alexandria's test grade is 0.95 standard deviations.

What is standard deviation ?

Standard deviation is a measure of the amount of variation or dispersion in a set of data. It tells us how spread out the data is from the mean or average value. A low standard deviation indicates that the data points are close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range of values.

To calculate the standard deviation, we first find the mean of the data. Then, for each data point, we subtract the mean and square the difference. We take the average of these squared differences, and then take the square root of that average. This gives us the standard deviation.

a) The z-score for Alexandria's test grade can be calculated using the formula:

z = (x - μ) / σ

where x is the test score, μ is the mean of the Math test scores, and σ is the standard deviation of the Math test scores.

Plugging in the values, we get:

z = (82 - 71.5) / 11.1 = 0.95

So Alexandria's test score is 0.95 standard deviations above the mean of the Math test scores.

b) The z-score for Christina's test grade can be calculated in the same way:

z = (x - μ) / σ

where x is the test score, μ is the mean of the Science test scores, and σ is the standard deviation of the Science test scores.

Plugging in the values, we get:

z = (61.2 - 62.2) / 8.2 = -0.12

So Christina's test score is 0.12 standard deviations below the mean of the Science test scores.

c) To determine who did relatively better, we need to compare the z-scores for Alexandria and Christina. Alexandria's z-score of 0.95 indicates that her test score is above average compared to the other Math test scores. Christina's z-score of -0.12 indicates that her test score is slightly below average compared to the other Science test scores. Therefore, Alexandria did relatively better than Christina.

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An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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Answer: ite will be 3 bc i done that all ready

Step-by-step explanation:

The number of individuals that work for the company is 272 workers.

Given,

The Parker company employs 68 part-time workers.

This represents 4% of the total workforce.

We need to find out how many individuals work for the company.

Percentage is a fraction or a ratio in which the value of whole is always 100.

Find the total workforce.

Total workforce = 100%

We have,

4% = 68 workers

Multiply 25 on both sides.

25 x 4% = 4 x 68 workers

100% = 272 workers.

This means the number of individuals that work for the company is 272 workers.

Thus the number of individuals that work for the company is 272 workers.

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Answer:

the correct answers are A, C, and D

Step-by-step explanation:

Those are the only ones that make sense enough!

What is the average height of 6th grade students?

And

What was the low temperature...?

Those responses will be given as numerical values

E.G. 162cm or 2 degrees Celsius (2*C)

(Edit: the first & third options are the correct ones)

Hope this helps!

The sum of the two rational equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).

In this question we must use algebra definitions and theorems to simplify the addition of two rational equations into a single rational equation. Now we proceed to show the procedure of solution in detail:

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

9514 1404 393

Answer:

  No, the ratios are different

Step-by-step explanation:

The first two ratios are ...

  Height : Width = 3 : 2

  Height : width = 6 : 4 = 3 : 2

The next two are different from those and from each other.

  Height : width = 7 : 5

  Height : width = 10 : 8 = 5 : 4

The different options have three different height/width ratios. The dimensions are not proportional. (If they were proportional, all ratios would be the same.)

The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

Further processing of the product will lead to a decrease Camp in profit by $6,000.

Profit is the money left with a company after paying for business expenses from the question;

In the first scenarioWe calculate the profit as;So, Profit in current = 1,000 units × ( $54 - $38)= $16,000In the second scenario;

If we process further, than the profit will be as follows:

Profit after processing = 1,000 units × ( $81 - ( $38 + $33))

= 1,000 units × ( $81 - $71)= $10,000

So, Change in profit = $10,000 - $16,000 = -$6,000 (negative shows decrease)So, Further processing will decrease profit by $6,000.

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The Fibonacci sequence is the sequence in which the numbers are written such that each succeeding number is sum of two preceding numbers.

The Fibonacci sequence is defined recursively as follows:

F0 = 0

F1 = 1

For n > 1, Fn = Fn-1 + Fn-2

(b) The sequence of partial sums is:

S0 = 0

S1 = 0 + 1 = 1

S2 = 0 + 1 + 1 = 2

S3 = 0 + 1 + 1 + 2 = 4

S4 = 0 + 1 + 1 + 2 + 3 = 7

S5 = 0 + 1 + 1 + 2 + 3 + 5 = 12

(c) A closed formula for the sequence of partial sums in terms of Fn is not possible, since the sequence of partial sums depends on the values of all previous terms in the Fibonacci sequence. However, it is possible to express the nth term of the sequence of partial sums, Sn, in terms of the nth term of the Fibonacci sequence, Fn, using the following formula:

Sn = F0 + F1 + ... + Fn = (F0 + F1) + (F1 + F2) + ... + (Fn-1 + Fn) = F1 + F2 + ... + Fn + F0 + F1 + ... + Fn-1 = 2Sn-1 - Fn + F0

This formula can be derived by considering the previous term in the sequence of partial sums and adding the current term of the Fibonacci sequence to it.

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Answer: 1.6

Step-by-step explanation:

each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces

Answer:

shown below

Step-by-step explanation:

golf balls per ounce = 5/8 or 0.625

ounces per gold ball = 8/5 or 1.6

Answer:

20times bc u times 5 by 10 then divide 8 u get 6.2

Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

Answer:

the answer is going to be D. (3,4,5,8,9,3)

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer:

2

Step-by-step explanation:

1+1

2

This question is so hard

Any number times one equals itself, and any number multiplied by two equals itself plus itself, so 1*2=2 and 1*2=1+1. The transitive property of equality states that if x=y and y=z then x=z. Since both 1+1 and 2 are equal to 1*2, they must be equal to each other, so 1+1=2.

                                                  The answer is 2

The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).

Let,

f(x) = 125x

g(x) = x⁴

Intersection points will be,

x⁴ = 125x

x = 0 , 3.3437

Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)

=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)

=\(\pi\)[15625x³/3 - x⁹/9]₀³

=\(\pi\)[140625 - 2187]

= 138438\(\pi\)

The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.

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Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

The probability of getting one 6 on four rolls of a single die is 0.517

The number of rolls = 4

The probability of getting one 6 on four rolls of a single die = 1 - The probability of not getting one 6 on four rolls of a single die.

We know probability = Number of favorable outcomes / Total outcomes

In first throw,

The probability of not getting the number 6 = 5/6

Next three throws are independent events

Therefore,

The probability of not getting one 6 on four rolls of a single die = (5/6) × (5/6) × (5/6) × (5/6) = 625/1296

The probability of getting one 6 on four rolls of a single die = 1 - 625/1296

= 671/1296

= 0.517

Hence, the probability of getting one 6 on four rolls of a single die is 0.517

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The perimeter of the rectangle is Twenty and six-twentieths inches. Option D

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l + w)

Where;

Now, we have that;

Length = 4 2/5

Length = 22/5

Width = 5 3/4

Width = 23/4

Substitute the values

Perimeter = 2(22/5 + 23/4)

multiply

Perimeter = 2(  88 + 115/20

expand the bracket

Perimeter = 2(203/20)

Perimeter = 20 3/20

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Answer:

the answer is d

Step-by-step explanation:

i got it right on edge 2021

(x,y) → (x +4, y + 2) is the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'. Therefore, the correct option is option D.

A transformation in mathematics is a function f which projects a set X to it only, i.e., f: X X. This function typically has some geometrical foundation. Examples include geometric transformations, such as spatial transformations, affine transformations, including particular affine transformations like rotations, reflections, and translations, as well as linear transformations of vector spaces.

Although it is usual to refer to any function of a set within itself as a "transformation," particularly in phrases like "transformation semigroup" or related expressions, there is another type of terminological norm in which the word "transformation" is exclusively used to refer to bijections. (x,y) → (x +4, y + 2) is the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'.

Therefore, the correct option is option D.

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Answer:

The triangles are similar by AA since vertical angles are congruent.

\( \frac{8}{12} = \frac{x}{7} \)

\(12x = 56\)

\(x = \frac{14}{3} = 4 \frac{2}{3} \)