What is the average rate of change for the table and graph below over the interval [0,3]?

Answer:

Approx 0.453488372

Step-by-step explanation:

You can get this with a calculator.

25 × 39 = 975

975÷2150≈ 0.453488372

I'm not sure if I'm supposed to round this or not, so I won't. If you need it rounded, comment, and I will!

I would love brainliest!!!!

By finding the side length of the square, we will see that the area is 20 square units.

For a square of side length S, the area is:

A = S^2

In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.

Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So the distance between the points G(1, 0) and O(5, 2) is:

[tex]S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}[/tex]

Then the area of this square is:

[tex]A = S^2 = (\sqrt{20})^2 = 20[/tex]

The area is 20 square units.

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Answer:

[tex]\displaystyle 55,7[/tex]

Step-by-step explanation:

[tex]\displaystyle 1\frac{41}{53} = sec\:x \hookrightarrow sec^{-1}\:1\frac{41}{53} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]

OR

[tex]\displaystyle \frac{53}{94} = cos\:x \hookrightarrow cos^{-1}\:\frac{53}{94} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

The distance between points (4,6) and (4,-1) is 7 units.

Given The coordinates of the end points of line (4,6) and (4,-1).

Distance is the measurement about how far things are present on the surface. It is usually calculated in some units known as km, m, etc.

The distance between two points can be calculated as under:

Distance=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex] where the coordinates are (x1,y1),(x2,y2).

To calculate the distance we need to put the values of coordinates in the formula:

Distance between (4,6) and (4,-1)=[tex]\sqrt{(4-4)^{2} +(-1-6)^{2} }[/tex]

=[tex]\sqrt{(0)^{2}+(-7)^{2} }[/tex]

=[tex]\sqrt{0+49}[/tex]

=[tex]\sqrt{49}[/tex]

=7

Hence the distance between (4,6) and (4,-1) is 7 units.

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#SPJ10

Answer:

it would be 7 units :)

Step-by-step explanation: cuz im smart and said so

Answer:

  √89

Step-by-step explanation:

The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...

  c² = a² +b²

  c² = 5² +8² = 25 +64 = 89

  c = √89 . . . . the length of the third side

Answer:[tex]\sqrt{89}[/tex]

Step-by-step explanation:

opposite=8

Adjacent=5

Hypotenuse= ?

Using pythagoras theorem,

[tex]Hyp^{2} = Opp^{2} + adj^{2}[/tex]

[tex]Hyp^{2}[/tex]= [tex]8^{2} +5^{2}[/tex]

[tex]Hyp^{2}[/tex]=64 +25

[tex]Hyp^{2} =89[/tex]

Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse

Hyp=[tex]\sqrt{89}[/tex]

Based on the scores in the final exam, the five number summary of the class is:

The minimum is the smallest score of 60. The maximum will be the largest score of 98.

The lower quartile can be found by the formula:

= (Second score + Third score) / 2

= (65 + 78) / 2

= 71.5.

The upper quartile is:

= (Third to last score + Second to last score) / 2

= (93 + 95) / 2

= 94

The median is:

= (5th score + 6th score) / 2

= (82 + 88) / 2

= 85

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this should be the answer

after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828

after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²

so

after n years he will get : 800 x 1,035ⁿ

Answer:

Step-by-step explanation:

800 x 1,035ⁿ

Answer:

0.03×104=3.12

0.3×104=31.2

0.3×10=3

0.03×109=3.27

these are the products

hope it helps!

Answer:

C) 43.96

Step-by-step explanation:

1. Use the formula to find the circumference of a circle whic is C= πR

2. First multiply the radius (7 in) by 2

3. 7 x 2 = 14

4. Then multiply 14 by 3.14

5. 14 x 3.14 = 43.96

5. There's your answer :)

Hope this helps :)

Answer:

b is your answer to this question

The money lost due to a hard time for the company is $986.4.

Number of shares =45

Price per share =$63.12

So, the total cost of buying 45 shares = 45*63.12 = $2840.4

Total selling price when the company falls on hard times and you end up selling the stock for $41.20 per share = 41.20*45 = $1854

Mathematically, the loss is the difference between the cost price and the selling price.

Difference between the selling price and the cost price = 2840.4 - 1854

So, the difference between the selling price and the cost price = $986.4

Therefore, The money lost due to a hard time for the company is $986.4.

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Answer:

im terreb.le at math

Step-by-step explanation:

Answer:

285 dancers

Step-by-step explanation:

[tex]\frac{acrobats}{dancers}[/tex] = [tex]\frac{13}{15}[/tex] = [tex]\frac{247}{x}[/tex]

After cross-multiplication:

13x = ( 15 )( 247 )

13x = 3705

x = 285 dancers

Answer:

-4 and -16

Step-by-step explanation:

Let x = first number

Let y = second number

Given:

⇒ xy = 64

Given:

⇒ x + y = -20

Rewrite  x + y = -20  to make x the subject:

⇒ x = -20 - y

Substitute into xy = 64 and solve for y:

⇒ (-20 - y)y = 64

⇒ -20y - y² = 64

⇒ y² + 20y + 64 = 0

⇒ (y + 4)(y + 16) = 0

⇒ y = -4, y = -16

As x + y = -20

If y = -4 then x = -16

If y = -16 then x = -4

Therefore, the two numbers are -4 and -16

Let they be a and b

So

[tex]\\ \rm\rightarrowtail (a-b)^2=(a+b)^2-4ab[/tex]

[tex]\\ \rm\rightarrowtail (a-b)^2=(-20)^2-4(64)=400-256=144[/tex]

[tex]\\ \rm\rightarrowtail a-b=12\dots(2)[/tex]

From both equations

Answer:

Every integer greater than 5 can be written as the sum of three primes.

Step-by-step explanation:

Every integer greater than 5 can be written as the sum of three primes.

Answer:

1/4

Step-by-step explanation:

20n=5

n=5/20

n=1/4

therefore, it's 1/4

Answer:

1/4th

Step-by-step explanation:

All we need to do is get the N by itself, and since the 20 is multiplied by the N, we would divide to get rid of it on both sides. then we have n=5/20, and since 5 goes into 20 4 times, we can simplify it to 1/4th.

please mark as brianlest.

Answer:

A. would be best I'm pretty sure

Step-by-step explanation:

Answer: A.

Step-by-step explanation: With this option, everyone in that middle school is involved, and not just eighth-graders, math club students, or detention students.  Option A is a unbiased sample, therefore, that's your answer.

Hope this helps! :)

Answer:

A = $6,625.00

Step-by-step explanation:

A = P(1 + rt)

A = 5000(1 + (0.065 × 5)) = 6625

What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

6 = -20 + b

b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

Hope this helps!

Answer:

Hope the picture will help you

What is 2/5 of 15?

Want to quickly learn or show students how to convert 2/5 of 15? Play this very quick and fun video now!

How to Calculate the Fraction of a Whole Number

  How to Calculate the Fraction of a Whole Number

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

15

1

So now that we've converted 15 into a fraction, to work out the answer, we put the fraction 2/5 side by side with our new fraction, 15/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

2 x 15

5 x 1

=

30

5

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 5 is 5.

We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.

30/5 = 6

5/5 = 1

When we put that together, we can see that our complete answer is:

6

1

The complete and simplified answer to the question what is 2/5 of 15 is:

6

hope this helps

Missing number is 6

Set up the proportion

[tex] \frac{2}{5} = \frac{x}{15} [/tex]

Cross multiply to get 5x=30.

Divide both sides by 30 to get the answer

5x÷5=30÷5

x=6

Answer:

A solution means any variable that makes the equation true

Answer:

[tex]f(x)=\sqrt[3]{x-2} +1[/tex]

Step-by-step explanation:

Given function for graph:  [tex]f(x)=1\sqrt[3]{x-h} +k[/tex]

where (h, k) is the midpoint of the curve.

Therefore, the parent function is [tex]f(x)=\sqrt[3]{x}[/tex]

[tex]f(x)=1\sqrt[3]{x-h} +k[/tex] can be obtained by translating [tex]f(x)=\sqrt[3]{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt[3]{x}[/tex] is the origin

Therefore, this graph has been translated 2 units to the right and 1 unit up.

Therefore, [tex]h=2[/tex] and [tex]k=1[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt[3]{x-2} +1[/tex]

t=3.673900

Given

df = 28df=28 -- degree of freedom

Area = 0.005Area=0.005

Required

Determine the t-value

The given parameters can be illustrated as follows:

P(T > t) = \alphaP(T>t)=α

Where

\alpha = 0.005α=0.005

So, we have:

P(T > t) = 0.005P(T>t)=0.005

To solve further, we make use of the attached the student's t distribution table.

From the attached table,

The t-value is given at the row with df = 28 and \alpha = 0.005α=0.005 is 3.673900

Hence, t = 3.673900t=3.673900

The tax revenue Australia would generate each year is $96,054,697,991.

The percentage is the value per hundred.

Working population of Australia =  11,565,470 people

Annual average salary = $26,450

Income tax rate = 31.4%

Tax revenue generated by each resident = 26450*(31.4/100)

Tax revenue generated by each resident =$8305.3

So, Tax revenue generated by 11,565,470 residents =  11,565,470*8305.3

Tax revenue generated by 11,565,470 residents = $96,054,697,991

Therefore, the tax revenue Australia would generate each year is $96,054,697,991.

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Answer:

Step-by-step explanation:

EF and CD are meant to be parallel. Whatever you do to one, you do the same thing to the to maintain slope symmetry.

So the blank should contain 90 clockwise.

The slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

Surface area (SA) = a² + 2al

Given the following parameters:

Plug in the values into (SA) = a² + 2al:

304 = 8² + 2(8)l

304 = 64 + 16l

304 - 64 = 16l

240 = 16l

240/16 = l

15 = l

l = 16

Therefore, the slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

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Answer:

B

Step-by-step explanation:

=zxu

=4x3

12 square units

(z+v)x (y-u)

(4+4)x (8-3)

=8x5

=40 square units

(z+v)-x

(4+4)-7

8-7

=1 unit

(w+u)-y

(7+3)-8

10-8

2units

=0.5×1×2

= 1 square unit

=12+1+40

=52+1

=53 square units

Answer:

  B.  53 square inches

Step-by-step explanation:

The attached figure is drawn to scale, and a grid is provided that makes it easier to see the dimensions of the various parts.

This figure can be easily decomposed into an overall rectangle with cutouts of a trapezoid at the top and a rectangle at the bottom right.

__

The overall rectangle has dimensions 8 units wide and 10 units high.

The trapezoid at the top has bases of 8 units and 7 units, and a height of 2 units.

The rectangle at the bottom right has dimensions of 4 units wide and 3 units high.

The area formulas for a rectangle and trapezoid are ...

  A = LW . . . . area of a rectangle with length L, width W

  A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h

__

Then the area of the figure is ...

  figure area = overall rectangle - trapezoid - lower right rectangle

  = (8 in)(10 in) - 1/2(7 in + 8 in)(2 in) -(4 in)(3 in)

  = 80 in² -15 in² -12 in² = 53 in²

The area of the object is 53 square inches.

Answer:

14x + 23

Step-by-step explanation:

The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.

The perimeter of a triangle: the sum of all of its sides.

5x + 9 + 2x + 14 + 7x

14x + 23

It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.