I need some help with middle school math

Answer:

  -17 ft/s

Step-by-step explanation:

The average rate of change is the difference in height on the interval, divided by the difference in time.

  m = (h(4.5) -h(2))/(4.5 -2) . . . . . . . . definition of rate of change on [2, 4.5]

  h(4.5) = (-16·4.5 +87)(4.5) = 67.5

  h(2) = (-16·2 +87)(2) = 110

Then ...

  m = (67.5 -110)/(2.5) = -17

The average rate of change on the interval from 2 to 4.5 seconds is -17 ft/s.

_____

Check

The slope of the curve is given by its derivative:

  h'(t) = -32t +87

The midpoint of the interval is (2+4.5)/2 = 3.25.

The slope at the midpoint is ...

  h'(3.25) = -32(3.25) +87 = -17 . . . . average rate of change on [2, 4.5]

For a quadratic function. the average rate of change on an interval is the slope of the function at the midpoint of the interval. This calculation confirms that.

Final answer:

The average rate of change of the height of a ball described by the function h(t) = -16t^2 + 87t from 2 to 4.5 seconds is calculated using the difference in height values at these points divided by the difference in time, resulting in -17 feet/second.

Explanation:

The student asks to find the average rate of change of the height of a ball, given the function h(t) = -16t2 + 87t, from t = 2 seconds to t = 4.5 seconds. To find the average rate of change, we will use the following formula:

Average Rate of Change = (h(t2) - h(t1)) / (t2 - t1)

First, we calculate h(2) and h(4.5):

h(2) = -16(2)2 + 87(2) = -64 + 174 = 110

h(4.5) = -16(4.5)2 + 87(4.5) = -324 + 391.5 = 67.5

Plugging these values into the formula:

Average Rate of Change = (67.5 - 110) / (4.5 - 2) = -42.5 / 2.5 = -17

The average rate of change of the height of the ball from 2 to 4.5 seconds is -17 feet/second.

Answer:

x < 37/4

Step-by-step explanation:

−4x+35>2

Subtract 35 from each side

−4x+35-35>2-35

-4x > -37

Divide each side by -4. remembering to flip the inequality

-4x/-4 < -37/-4

x < 37/4

Step-by-step explanation:

A = ( 1 3 5 7) B = (2 3 5 7) C = (4 6)

U = ( 1 2 3 4 5 6 7)

Answer:

3.75

Step-by-step explanation:

2.5*1.5=3.75

Answer:

i dont know

Step-by-step explanation:

Answer:

I believe it is 39/8

and I got it right on edge 2020

Answer:

5

Step-by-step explanation:

Arc length = r × theta

15 = 3 × theta

theta = 15/3

theta = 5 radians

5

Answer:

Step-by-step explanation:

Answer:

f(0) = -2

f(4) = -14

f(-1) = 1

Step-by-step explanation:

f(x) = -3x-2

f(0)  means let x=0

f(0) = -3(0) -2

    = 0-2

   = -2

f(4) means let x =4

f(4) = -3(4) -2

     = -12 -2

     = -14

f(-1) means let x =-1

f(-1) = -3(-1) -2

     = 3 -2

     = 1

Answer:

f(0) = -2

f(4) = -14

f(-1) = 1

Step-by-step explanation:

To find each answer, you substitute the number in the parentheses for x.

-3(-0) - 2 = -2

-3(4) - 2 = -14

-3(-1) - 2 = 1

Answer: 45°

Step-by-step explanation:

Diameter= 16m

Radius= 16/2 = 8m

The area of the circle= πr^2

= π8^2

= 64π square metres.

An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.

The circumference = 2πr = 16π,

This gives us an arc length of 2π metres.

But since we are looking for the the angle.

In degrees: 360/8 = 45°

The angle of the sector is 45 degrees.

To understand the calculations, check below

The radius of circle is [tex]\frac{16}{2} =8cm[/tex]

The area of circle is,

                 [tex]Area=\pi*8^{2} \\\\Area=64 \pi[/tex]

Area of sector [tex]=8\pi[/tex]

Angle of sector,

                       [tex]=\frac{8\pi}{64\pi} *360\\\\=\frac{360}{8}=45 degrees[/tex]

The angle of sector is 45 degrees.

Learn more about the sector angle here:

https://brainly.com/question/22972014

3/4 chance of rain for saturday

Answer:

3/4 chance of rain for saturday

Step-by-step explanation:

Answer:

B C D

Step-by-step explanation:

ED 2020

Answer:

B: P(D | C) = 0.44

C: P(C ∩ D) = 0.11

D: P(C ∩ D) = P(D ∩ C)

next is C: 2/9

then C: P(Y | X) = P(Y)

and F: P(X | Y) = P(X)

next is

10/26

5/14

not independent

Step-by-step explanation:

edg2021

Answer:

1/4 yards

Step-by-step explanation:

3/4 is the total. Divide the total by 3 to get the answer.

Answer:the correct answer is 7

Step-by-step explanation:

Mutiply that by the sides

Answer:

is it 10 cents lesser

Step-by-step explanation:

20 x + 15 = 10

20 x = - 5

x = -5/20 = -1/4

Answer: -1/4

5x - 5 = 15

5x = 20

x = 20/5 = 4

Answer: 4

n + 14 = 72

Answer: 14 + n = 72, first choice

Answer:

oak,park,scott

Scott > Park > Oak this will be the required arrangement.

A triangle is a three-sided polygon that closes in a space. It uses lines, line segments or rays to form the three sides. When three sides form and meet, they create three vertices, or corners.

A triangle is a closed polygon with three angles and sides.

The corners inside the triangle are interior angles. The corners outside the triangle are exterior angles.

The sum of the three angles of a triangle is 180°.

Given that the three streets Park Street, Scott Street, and Oak Street form a triangle.

Making angles = Oak Street and Park Street is 62° and the angle formed by Park Street and Scott Street is 58°,

We need to list the sides of the triangle from least to greatest,

Now the third angle = 180°-(58°+62°)

= 180°-120

= 60°

So, we know that in a triangle the greatest angle is opposite to the largest side and the smallest angle is opposite to the shortest side,

So, according to property we can say,

Scott > Park > Oak this will be the required arrangement.

Learn more about triangles click;

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#SPJ3

Answer: Bar graphs, pie charts or circle graphs

Step-by-step explanation: for it right

Pie charts or circle graphs and bar charts are the most appropriate displaying for categorical variables.

A graph is used to provide a pictorial representation or diagram so as to represents data in an orderly way. Examples of graphs are histogram, box plot, pie chart, dot plot.

Pie charts or circle graphs and bar charts are the most appropriate displaying for categorical variables.

Find out more on graph at: brainly.com/question/14323743

Answer: B.

Step-by-step explanation:

I hope this helps!

Answer:

572

Step-by-step explanation:

Answer:

572 m

Step-by-step explanation:

step 1: find area of big box

23 m x 34 m = 782 m

step 2: find area of small box

21 m x 10 m = 210 m

step 3: subtract small box area from big box area to get shaded region

782 m - 210 m = 572 m

Answer:

5

Therefore, she must get 5 points from the last quiz to have a mean score of 4

Step-by-step explanation:

Mean is the average of a set of data, it is the sum of the data divided by the number of data.

To have a mean of 4 from 4 quizzes;

Let x represent the total;

mean = x/4

4 = x/4

x = 4 × 4 = 16

To have a mean of 4 he must have a total score of 16.

Let y represent her score in the last quiz;

16 = 4+3+4+y

16 = 11+y

y = 16-11 = 5

Therefore, she must get 5 points from the last quiz to have a mean score of 4

The teacher needs to get a score of 5 on her last quiz to have a mean score of 4.

To find out what score the teacher needs on the last quiz to have a mean score of 4, we can use the formula for mean (average):
Mean = (Sum of all scores) / Number of quizzes
Given:
- The teacher has taken 3 quizzes with scores of 4, 3, and 4.
- The mean score she wants is 4.
- Each quiz is worth 5 points.
Let x be the score she needs on the last quiz.
Sum of all scores = 4 + 3 + 4 + x = 11 + x
Number of quizzes = 4 (as she takes 4 quizzes in total)
Now, we can set up the equation and solve for x:
Mean = (Sum of all scores) / Number of quizzes
4 = (11 + x) / 4
4 * 4 = 11 + x
16 = 11 + x
x = 16 - 11
x = 5
Therefore, the teacher needs to get a score of 5 on her last quiz to have a mean score of 4.

Answer: The answer is 2 :)

Step-by-step explanation:

Answer:

778

Step-by-step explanation:

Answer:

1,2,4,5

Step-by-step explanation:

Answer:

1, 2, 4, and 5

Step-by-step explanation:

just did the work

Answer:

The Pythagorean Theorem in a^2 + b ^2 = c^2

It is used to solve for one side of a right triangle (any triangle where one angle is 90 degrees). Most of the times it is used to solve for the hypotenuse, which is represented by c. A and B represent the other sides of the triangle.

The Pythagorean Theorem also states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.

In other words, for the triangle shown below, a² + b² = c².

In the image below, I have drawn a triangle on my whiteboard.

In the triangle that is shown below, the legs, a and b, are the perpendicular sides of the right triangle and the hypotenuse, c, is the side opposite the right angle.

This only applies to right triangles!

You can use this theorem to find out if a triangle is an acute triangle, a right triangle, or even an obtuse triangle.

Answer:

LINEAR function  constant slope = 2

Step-by-step explanation:

We see points  (-3, -11),  (-2, -9),  (-1, -7),  (1, -3) , (2, -1)

slope:   m = (-9 - -11)/(-2 - -3) = 2/1

m = (-7 - -9)/(-1 - -2) = 2/1

m = (-3 - - 7)/(1 - -1) = 4/2 = 2

m = (-1 - -3)/(2 - 1) = 2/1 = 2

Answer:

p=3

Step-by-step explanation:

2(3p -4) = 10

6p-8=10 (distribute the 2)

6p=18 (add 8 to both sides)

p=3 (divide 3 from both sides)

Answer:

p = 3

Step-by-step explanation:

2 • (3p - 4) -  10  = 0

Domain of the function F(x) = log 0.3 x is :

All Real Numbers greater than zero.

So the right answer is :

D. All real numbers

Answer:All real numbers

Step-by-step explanation:

A

P

E

X

Answer:

step by step explanation:

Calculate the mean (simple of the numbers).

For each number: subtract the mean. Square the result. Add all of the squared results.

Divide the sum by one less than the number of data points (N-1). This gives you the sample variance.

Finally, take the square root of this value to obtain the simple standard deviation.

Answer: A

Step-by-step explanation:

A on edge 2022

Answer:

The superlative degree compares more than two things to show which has the least or greatest degree of the quality.comparative degree is  used when just comparing two things.

Step-by-step explanation:

Final answer:

The comparative degree is used to compare two items, while the superlative degree is used to compare three or more. Comparatives typically end in -er, while superlatives end in -est, except in cases of adjectives with more syllables where 'more' and 'most' are used respectively. Absolute adjectives generally do not have comparative or superlative forms.

Explanation:

Difference Between the Comparative and Superlative Degree

The comparative and superlative degrees are used to make comparisons between nouns based on some attributes described by adjectives or adverbs. The comparative degree is used when comparing two items, while the superlative degree is used when comparing three or more items. Comparative adjectives often end in -er, and superlative adjectives often end in -est. For example, the adjective 'hot' becomes 'hotter' in the comparative form and 'hottest' in the superlative form.

For adjectives of three or more syllables, and some two-syllable adjectives, the comparative is formed by adding the word 'more' before the adjective, and the superlative is formed with 'most'. For instance, 'famous' becomes 'more famous' and 'most famous' in comparative and superlative forms respectively. Some adjectives and adverbs are irregular and do not follow these standard patterns of formation. Furthermore, adjectives that describe absolute qualities, such as 'dead' or 'pregnant', typically do not have comparative or superlative forms.

It is important to never use both types of comparison for the same adjective, as in 'most hardest'. The correct form would be 'hardest', without the 'most'. Also, it's useful to know that adjectives imply a scale of degrees, and comparative forms indicate one item's position on that scale in relation to another, while superlatives indicate the extreme ends of that scale.

Answer:

C. 120 Votes

Step-by-step explanation:

14/21 will get you 66.6. Taking that number and multiplying it by the 180 total students will end you with 120 which is your answer.