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A hot air balloon descended 99.6 meters in 12 seconds. What was the balloon's average rate of descent in meters per second?

bagirrra123 [75]

99.6 divided by 12 is 8.3 so the answer is 8.3

5 0

3 years ago

Read 2 more answers

- 22 - 7v = - 3(8V + 4) Round to the nearest hundreth

Dmitriy789 [7]

Answer:

v = 0.58

Step-by-step explanation:

-22 - 7v = -3(8v + 4)

Expand -3(8v + 4)

3 * 8v - 3 * 4

Simplify -3 * 8v -3 * 4

= -24v - 12

-22 - 7v = -24v - 12

Add 22 to both sides

-7v = -24v +10

Add 24v to both sides

17v = 10

$\frac{17v}{17} =\frac{10}{17}$

$v =\frac{10}{17}$

$v=0.58$

5 0

3 years ago

a pizza parlor has 8 different toppings and 3 different cheeses to choose from on the menu. how many pizza combinations are poss

Rom4ik [11]

Multiply 3 and 8 then you will have your answer

5 0

3 years ago

What is the height of the flagpole in the diagram below

Olegator [25]

Answer: The height of the flagpole is 12 feet.

Step-by-step explanation:

Let the height of the flagpole be 'H'.

So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.

Given:

Height of stick is,

Shadow of the stick is,

Shadow of the flagpole is,

Now, as these are in proportion, we have

Plug in the given values and solve for 'H'. This gives,

Hence, the height of the flagpole is 12 feet.

4 0

3 years ago

Look at the graph below and answer the following.

bearhunter [10]

Answer:

Part 1) The graph has three (3) x-intercepts and has one (1) y-intercept

Part 2) The y-value of the minimum point is -3

Part 3) f(4)=3

Part 4) f(0)=3

Part 5) f(5)=1.5

Part 6) x=-6

Part 7) The horizontal line y=-1 intersects the graph three times

Part 8) The value of the function for f(6) is equal to zero

Part 9) The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)

Part 10) The function is positive on the interval (-3,6) and (10,11) and is negative on the interval (-6,-3) and (6,10)

Step-by-step explanation:

Part 1) Find the number of x-intercepts and y-intercepts of the graph

we know that

The x-intercepts are the values of x when the value of y (the function) is equal to zero

Look at the graph

The graph has 3 x-intercepts

The x-intercepts are the points (-3,0), (6,0) and (10,0)

The y-intercepts are the values of y when the value of x is equal to zero

Look at the graph

The graph has 1 y-intercept

The y-intercept is the point (0,3)

Part 2) The y value of the minimum point on the graph is?

we know that

Look at the picture

The minimum point is (-6,-3)

therefore

The y-value of the minimum point is -3

Part 3) f(4) is equal to?

we know that

f(4) is the value of the function when the value of x is equal to 4

Look at the graph

For x=4

The value of the function is equal to y=3

therefore

f(4)=3

Part 4) f(0) is equal to?

we know that

f(0) is the value of the function when the value of x is equal to 0

Look at the graph

For x=0

The value of the function is equal to y=3

therefore

f(0)=3

Part 5) f(5) is equal to?

we know that

f(5) is the value of the function when the value of x is equal to 5

Look at the graph

For x=5

The value of the function is about y=1.5 (see the attached figure)

therefore

f(5)=1.5

Part 6) The value of x when f(x)= -3 is?

Look at the graph

we have the point (-6,-3)

when the value of f(x)=-3

the value of x is equal to x=-6

Part 7) The horizontal line y = -1 intersects the graph _____ times?

Look at the graph

The horizontal line y=-1 intersects the graph three times (see the attached figure)

Part 8) f(6) is positive or negative?

Look at the graph

we have the point (6,0)

For x=6

The value of the function is equal to zero

Part 9) Is the graph increasing or decreasing on the interval -6?

Look at the graph

The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)

Part 10) Is the graph positive or negative on the interval 6

Look at the graph

The function is positive (f(x) > 0) on the interval (-3,6) and (10,11) and is negative (f(x) < 0) on the interval (-6,-3) and (6,10)

4 0

3 years ago