The average rate of change over the interval [2,5] is ____.

The average rate of change over the interval [5,7] is ____.

The average rate of change over the interval [2,8] is ____.

392.7

To get the answer multiply Density * Volume

Mass = 0.1785 * 2200

Mass = 392.7

The amount of helium present in the hot air balloon = 392.7 kg

d = mass / volume

Given: volume of helium present in a hot air balloon = 2200 cubic meters

density of helium = 0.1785 kilograms per cubic meter

Let, m represents the amount of helium present in the balloon.

Using the formula of density,

density of helium = mass of helium / volume of helium

⇒ 0.1785 = m / 2200

⇒ m = 0.1785 × 2200

⇒ m = 392.7 kg

Therefore, option (c) is the correct answer.

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Answer:

55degrees

Step-by-step explanation:

Let the other angles of the triangle are x, x degrees. Since the sum of angles in a  triangle is 180degrees, hence;

<A + <B+ <C = 180

x + 70 + x = 180

2x+70 = 180

2x = 180 - 70

2x = 110

x = 110/2

x = 55

SInce <A is equal to x, hence <A is 55degrees

Answer:

8

Step-by-step explanation:

Answer:

P = 48

4 + 4(two given lengths) = 8

48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)

40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm

Answer:

Option C

Step-by-step explanation:

By using linear best fit calculator for the given data,

Equation of the line of best fit will be,

y = -5.2514x + 74.94413

Here, x = Weight of the ball

y = Distance thrown by Davis

Now substitute y = 30 feet to calculate the weight (x) of the ball.

30 = -5.2514x + 74.94413

5.2514x = 74.94413 - 30

5.2514x = 44.94413

x = 8.5585

x ≈ 8.6 pounds

Therefore, David can throw a ball 30 feet weighing 8.6 pounds.

Option C will be the answer.

Answer:

4! = 24

Step-by-step explanation:

[tex]4! = 4 * 3 * 2 * 1 \\\\4! = 12 * 2 * 1\\\\4!= 24 * 1\\\\\boxed{4!=24}[/tex]

Hope this helps.

Answer:

24

Step-by-step explanation:

I just did the same lesson and got it right

Answer:

0.01  %

Step-by-step explanation:

The given model is;

y = a (0.5)^t/5730

Which is;

y = a(2^-1(t/5730)

Then;

y = a (2^-1/5730)^t

y = a(0.999879)^t

Hence;

Given that the general model is;

y(x)= a(1-r)^x

Where r is the rate percent

Since 1-r =0.999879

r = 0.00012096

y = a(1 - 0.00012096)^t

So;

r= 0.00012096* 100 = 0.01 %

Answer:

A = 135 cm²

Step-by-step explanation:

The figure is composed of 2 triangles.

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The total area is the sum of the area of both triangles

A = [tex]\frac{1}{2}[/tex] × 18 × 7 + [tex]\frac{1}{2}[/tex] × 18 × 8

   = 9 × 7 + 9 × 8

   = 63 + 72

   = 135 cm²

Answer:

A estimation of the slope is (1/2) °C/min

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Then we just need to look at the graph and find two points that belong to the graphed line (not the points) and estimate the slope

We can see that the line passes near the points (14 min, 14°C) and (18 min, 16°C)

Then the slope is:

a = (16°C - 14°C)/(18 min  - 14 min) = (2°C)/(4 min) = (1/2) °C/min

Answer:

what were the answers? IStep-by-step explanation:

Answer:

b is equal to 132

because of the transversal rule, b and 132 are corresponding angles, which means that they are equal to the same measure

hope this helps :)))

ur lucky at least ur math teacher gives you fun assignments to do to solve a murder mystery

my teacher has us doing 4 page review guides for finals

Answer:

1996 and 2000

Step-by-step explanation:

Since P (the population) is represented in thousands, 8000 will be represented by 8.

Plug in 8 as P and solve for t:

P = 2|t - 8| + 4

8 = 2|t - 8| + 4

4 = 2|t - 8|

2 = |t - 8|

Separate this into 2 possible cases:

2 = t - 8 and -2 = t - 8

Solve:

2 = t - 8

10 = t

-2 = t - 8

6 = t

So, the answers are 6 and 10.

The town will have a population of 8000 in 1996 and 2000

Answer:

c.2

Step-by-step explanation:

f(x)=2 and where is x you place it with 2 and it won't change because there is no another number is the equation of f(X)

Answer:

A-2

B-1

C-3

D-4

Step-by-step explanation:

Got it right on Edmentum

Answer:

A. 2

B. 1

C. 3

D. 4

Step-by-step explanation:

A.

A = {2, 4, 6}

Complement of A = {1, 3, 5}

Answer: 2

B.

A = {2, 4, 6}

B = {5, 6}

A U B = {2, 4, 5, 6}

Answer: 1

C.

B = {5, 6}

Answer: 3

D.

A ∩ B = {2, 4, 6} ∩ {5, 6} = {6}

Answer: 4

Answer:

Mean: 45.8 (rounded to the tenth place)

Median: 46

Mode: 46

Range: 84

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the measure of angle A is 70 degrees, then what is the measure of the supplement of the complement of angle A? 12

The measure of ∠4 is 20° when ∠2 is 70˚

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

An angle is the figure formed by two rays,

The given angle ∠2 = 70°

Complementary angles : A Pair of angles whose sum is 90°

So, Let the complement of ∠A be x

So, ∠2+∠4 = 90°

70°+∠4 = 90°

∠4= 20°

Hence, the measure of ∠4 is 20°

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Answer:

x = 7

Step-by-step explanation:

Answer:

= 48257775

Step-by-step explanation:

500x96515+275

multiply first

48257500+275

lastly, add

=48257775

i hope this helps :)

Answer:

86.6

Step-by-step explanation:

77+84+85+88+99=433

433/5=86.6

Answer:

2.5 OR 2 1/2

Step-by-step explanation:

77, 84, 85, 88, 99

5 numbers

5/2= 2.5

Answer:

There would be an 80% increase from 499.99 to 899.99.

Answer:

ASA

Step-by-step explanation:

The longest side is the same (denoted by the small line).

Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.

As such, the triangles share one common side and two common angles. Hence ASA

Answer:  just want points tbh

Step-by-step explanation:

For some reason it didnt let me upload as text so here you go.

Answer:

acres he can plant with remaining seeds

Step-by-step explanation:

i got it correct on ttm

Answer:

acres he can plant with remaining seed

Answer:

7/12

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Please tell me if I'm wrong. if so I'm sorry

The value of the unknown variable is 12.6.

A triangle is a two - dimensional figure with three sides and three angles.

The sum of the angles of the triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180°

Given is a right angled triangle as shown in the image.

There are six major trigonometric functions as -

We can write the relation between them as -

We can write the value of the unknown variable {x} as -

sin(57°) = x/15

sin(57°) = x/15

x = 15 sin(57°)

x = 15 x 0.838

x = 12.6

So, we can conclude that the value of the unknown variable is 12.6.

Therefore, the value of the unknown variable is 12.6.

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Answer:

-29.4

i was told trust me ig?

The average rate of change in m/s of the height of the rock between 2 and 4 seconds is -4.9.

The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.

Average = the sum of the data value / the total number of units

The rock's height from the ground in meters, h(t), is modeled by the formula h(t) = -4.9ť + 100,

where t is the time in seconds.

At t = 2 seconds

h(t) = -4.9ť + 100

h(t) = -4.9(2) + 100

     = 90.2

At t = 4 seconds

h(t) = -4.9ť + 100

h(t) = -4.9(4) + 100

     = 80.4

The average rate of change in m/s of the height of the rock is between 2 and 4 seconds

              = 80.4 - 90.2 / 2

              = - 4.9

Thus, the correct option is A.

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Step-by-step explanation:

write a formula that models this.

9.30x = money earned

If he works 2 hours, he'll get $9.30 times (2)

and so on. so you write and solve

9.30(1), 9.30(5), 9.30(8)

for the second part you want to substitute 180 for the amount earned which will become

9.30x = 180 then you solve for x