h(x) = 1/8^3 -x^2 What is the average rate of change of h over the interval -2 ≤ x ≤ 2?​

Answer:

andrew

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

(33*2) +x^2 = 98

66+x^2 =98

x^2=32

x=16 ft

Based on the information, the rational number that is greater would be the expression 389 high school sophomores, in a class of 910, paid payroll taxes in the last year (option D).

To identify the largest rational number of the different options that we have, we must divide each of the situations and classify them from the lowest to the highest. Once we have done this procedure we can find which is the highest.

According to the above, the highest value is represented by the option 389 high school sophomores, in a class of 910, paid payroll taxes in the last year, because once we do this division it gives us 0.42 and the rest of the options result in a smaller amount.

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The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Answer:

x = -2 , -1

Step-by-step explanation:

Set the equation equal to 0. Add 2 to both sides:

x² + 3x = -2

x² + 3x (+2) = - 2 (+2)

x² + 3x + 2 = 0

Simplify. Find factors of x²  and 2 that will give 3x when combined:

x²  + 3x + 2 = 0

x               2

x               1

(x + 2)(x + 1) = 0

Set each parenthesis equal to 0. Isolate the variable, x. Note that what you do to one side of the equation, you do to the other.

(x + 2) = 0

x + 2 (-2) = 0 (-2)

x = 0 - 2

x = -2

(x + 1) = 0

x + 1 (-1) = 0 (-1)

x = 0 - 1

x = -1

x = -2 , -1

~

Answer:

x = -2       OR      x = -1

Step-by-step explanation:

=> \(x^2+3x = -2\)

Adding 2 to both sides

=> \(x^2+3x+2 = 0\)

Using mid-term break formula

=> \(x^2+x+2x+2 = 0\)

=> x(x+1)+2(x+1) = 0

=> (x+2)(x+1) = 0

Either:

x+2 = 0    OR     x+1 = 0

x = -2       OR      x = -1

P.S. Ummmm maybe...... Because he usually reports absurd answers! So, Won't it be better that he could directly delete it. And one more thing! He's Online 24/7!!!!!

Answer:

B. B is 0.535; It is a decay factor.

Step-by-step explanation:

I calculated it logically

Answer:

B. b is 0.535; It is a decay factor.

Answer:

-1, 1/2, 0

Step-by-step explanation:

\(g(x)=-f\left(\frac{1}{2}x \right)+0\)

Answer:

2x9 + 2x3

Step-by-step explanation:

You distribute the 2 to the other terms (9 and 3) in the brackets.

The number of large candles sold in the craft fair is 28.

You sell small and large candles at a craft fair. You collect $192 selling small candles for $4 a piece and large candles for $6 a piece. You sold a total of 34 candles in all.

The system of equation  to find the number of small candles (x) and large candles (y) that were sold is as follows:

Therefore,

let

x = small candles

y = large candles

Hence,

4x + 6y = 192

x + y = 34

multiply equation(ii) by 4

4x + 6y = 192

4x + 4y = 136

2y = 56

y = 56 / 2

y = 28

Hence,

x = 34 - 28

x = 6

Therefore,

number of small candles sold = 6

number of large candle sold = 28

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.

Answer:

Step-by-step explanation:

The graph represents an x^2 function that is shifted in its x and y coordinates.

The domain is simply the allowed x values that will not make the function undefined. The function x^2 has no such singularities, and you can just eyeball this. The function spreads from negative infinity to positive infinity, which means any x value will work.

Domain:

(-∞, ∞)

The range is the allowed y values. You can see from the graph that anything below the point (-2, -4) cannot be achieved. This means that the allowed y values is anything above -4, but also including -4. The function will just continue on to infinity.

Range:

[-4, ∞)

Answer:

11.5

Step-by-step explanation:

Put the numbers in order from smallest to largest

2,2,6,9,9,11,11,12,32,43,46,54,54,59

The median is the middle number

There are 14 numbers so the middle is between 7 and 8

2,2,6,9,9,11,11,    12,32,43,46,54,54,59

Take the average of the 7th and 8th numbers

(11+12)/2 = 11.5

The median is 11.5

Answer: 11.5

Step-by-step explanation:

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

2   2   6   9   9   11   11   12   32   43   46   54   54   59    

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median= 11+12/2=11.5

Answer:

5 Hours

Step-by-step explanation:

2 : 30 = 1 : 15

75 ÷ 15 = 5

Answer:

5 hours

Step-by-step explanation:

30/2 = 15 miles per hour

75/15 = 5 hours

Answer:

pretty sure this is D sry if im wrong

Answer:

c=30

Step-by-step explanation:

Inverse: 22 + 8 = 30

c = 30

Answer:

c = 30

Step-by-step explanation:

Step 1: Add 8 to both sides.

Step 2: Check if solution is correct.

Therefore, the answer is c = 30.

Using a linear function and a quadratic function, the system of equations that can be used to model this situation is:

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the vertex is at (4,2), hence h = 4, k = 2 and the equation is:

y = a(x - 4)² + 2.

It passes through the point (5, 4), hence when x = 5, y = 4, which we use to find a.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The linear equation is given by:

y = mx + b

In which:

The road connects points (–3, 7) and (8, 2), hence the slope is given by:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

Multiplying by 11:

11y = -5x + 62.

5x + 11y = 62.

The system of equations is:

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Answer:

StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout

Step-by-step explanation:

The answer above is correct.

In order to find f evaluated at 4, we need to replace the number 4 into the place of x, that is,

which gives

Therefore, the answer is:

Answer:

.55 or 11/20

Step-by-step explanation:

multiply 2 3/4 by 1/5 to get the pounds of apples Sage uses.

Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.

A fraction with a mixed expression, also known as a complex fraction, has a fraction in either the numerator, the denominator, or both.

The box contains 2³/₄  pounds of apples, which can be written as a mixed number or an improper fraction:

2³/₄ = (2 × 4 + 3)/4 = 11/4

To find out how many pounds of apples Sage uses, we need to multiply the amount in the box by the fraction that represents the proportion of the box that Sage uses, which is 1/5:

(1/5) × (11/4) = (1 × 11)/(5 × 4) = 11/20

Therefore, Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.

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The values that used to create the box and whisker plot

[using these values]

Minimum value: Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

Here, we have,

Step 1: Order the data set from smallest to largest:

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):

Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:

Q1 = (19 + 28) / 2 = 23.5

Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:

Q2 = (34 + 38) / 2 = 36

Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:

Q3 = (45 + 47) / 2 = 46

Step 3: Calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 46 - 23.5 = 22.5

Step 4: Determine the whiskers:

Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR

Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR

Lower whisker limit: 23.5 - 1.5 * 22.5 = -10

Upper whisker limit: 46 + 1.5 * 22.5 = 79.5

Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.

Now, you can plot the box and whisker plot using these values:

Minimum value : Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

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create a box and whisker plot for the following set of data

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Answer:

Area: 378.5

Perimeter: 71.4

Step-by-step explanation:

Area = 3 square + 2 semicircle

A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5

perimeter = 2 square/2 + 2circle/2

P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4

Answer:

3f

Step-by-step explanation:

Use the commutative property to reorder the terms.

Isolating the variable 'a' in the expression, we have:

So the correct option is B.

Answer:

a is correct

Step-by-step explanation:

it is correct because we are adding

Answer:

A

Step-by-step explanation:

If there are no other numerals, then 2 is the only answer

Answer:

32%

Step-by-step explanation:

Every year it's 4% so you multiply the percentage by the number of years( in this case 8)

So, 4x8=32. Therefore, your answer is 32%.

The 32 percent should be decreased in 8 years.

Given that,

Based on the above information, the calculation is as follows:

= 4% (8)

= 32%

Therefore we can conclude that the 32 percent should be decreased in 8 years.

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The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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