xº
520
38°
220°
X = degrees

The motion of the rock thrown from the cliff which goes downwards due to

the gravitational force, is a free fall motion.

Reasons:

The given function that represents the height of the of the rock in feet x seconds after being thrown is; f(x) = 16·x² + 4·x + 125

At the initial height before being thrown from the cliff, we have;

The time, x = 0

The initial height is therefore;

The initial height f(0) = 16 × (0)² + 4 × (0) + 125 = 125

125 represents A. The initial height of the rock

Learn more about motion under gravity here:

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Answer:

24 red balls 56 blue balls

Step-by-step explanation:

We can use the ratio as percentages

30% of 80 is 24 red balls, and then we do 80-24=56 to calculate blue balls

Answer:

0.5

Step-by-step explanation:

→ Find the difference in y

7 - 3 = 4

→ Find the difference in x

9 - 1 = 8

→ Divide the results

4 ÷ 8 = 0.5

Answer:

The slope is 1/2 (m=1/2)

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for the slope. y2 is 7, y1 is 3, x2 is 1, x1 is 9. [tex]\frac{7-3}{9-1}=\frac{4}{8} = \frac{1}{2}[/tex]

Answer:

(100-12) - 3

Step-by-step explanation:

we dont know what the cost of the shirts are so that one should be it.

Step-by-step explanation:

VW to WY have the ratio 3/2.

VX to XZ must have the same ratio.

and VX > VW.

so,

30 and 20 is possible, as 30/20 = 3/2.

3 and 2 is not possible, because 6 > 3.

27 and 18 is possible, as 27/18 = 3/2.

13.2 and 8.8 is possible, 13.2/8.8 = 3/2.

8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.

8.7/3 = 2.9

but 2.9×2 = 5.8 and not 5.7.

Answer:

She can invite 13 people.

Step-by-step explanation:

Because Sarah has to pay $100 for the room, we can subtract.

$180-$100=$80.

Now that she has $80 left, we can see how many times $6 can go into $80.

$6x14=84.

This number is four more than $80, so Sarah can not invite 14 people.

But, if we do $6x13, we get $78.

$78 does not past $80 and is really close, Sarah can invite 13 people.

Final Answer: Sarah can invite 13 people without going over her budget.

I hope this helps and have a wonderful day! ;0

Answer:

13

Step-by-step explanation:

180-100 = 80

80 divided by 6 = 13.333

Answer:

x=65

Step-by-step explanation:

Answer:

y=8 x+2

Step-by-step explanation:

Answer:

Blank 1) 1 pound of raisins

Blank 2) 2.25 pounds of raisins

Blank 3) 1.2 pounds of almonds

Blank4) 1.4 pounds of almonds

Answer:

This is what it would look like! Hope this helps!

Answer:

See below

Step-by-step explanation:

[tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]

[tex]2v+4=8[/tex] <-- Resulting equation after first step

[tex]2v=4[/tex]

[tex]v=2[/tex] <-- Actual solution

Answer:

6feet by 5feet by 4feet

7feet by 6feet by 4feet

8feet by 3feet by 7feet

Answer:

  a) 62

  b) 31/45

Step-by-step explanation:

a) The table tells you there are 42 males, and 20 more females that study biology.

  42 +20 = 62 . . . are male or study biology or both

__

b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...

  62/90 = 31/45 = P(male or biology)

[tex]\log_{10} x = -2.7777\\\\\implies x = 10^{-2.7777}\\\\\implies x = \dfrac{1}{10^{2.7777}}\\\\\implies x = 0.00167[/tex]

Answer:

d. 210

Step-by-step explanation:

well for the first textbook you have 7 options

for the 2nd placeholder you have 6 options

and the 3rd you have 5

so its 7x6x5 which is 210 different combinations

thx for 50 points :D

Answer:

Step-by-step explanation:

The slope is the cost of a renewal: $10.

The y-intercept is the initial cost: $65.

Answer:Its probably c

Step-by-step explanation:

Answer:

Future Farmers of America

Step-by-step explanation:

Answer:

E none of these

Step-by-step explanation:

first convert the 30 km into m

it will be 30000m

speed = distance /time taken

convert the time into seconds too it will be 1200

so 30000/1200 = 25m/s

none of the above

The given quadratic equation gives the parameters of the shape of the

graph of the equation.

Reasons:

The given function is n(t) = -2.82·t² + 25.74·t + 60.87

by analyzing the above function, we have;

At t = 0

n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87

Which gives;

[tex]\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564[/tex]

The maximum value of the function is therefore;

n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61

The characteristics of the equation are;

Initial value of equation = 60.87

t-coordinate of the maximum point, t ≈ 4.564

Maximum value of the of the function = 119.61

By comparing with the given graphs, we have;

Therefore, the graph that will most likely be associated with the model is; graph B.

Learn more about graphs of quadratic equations here:

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Answer:

The correct answer is graph B.

Step-by-step explanation:

I got it right on the Edmentum test.

Answer:

84.21%

Step-by-step explanation:

When working with percentages, one must cross multiply and divide

first you set up your numbers in fraction form…

[tex]\frac{16}{19} \frac{x}{100}[/tex]

now you multiply the two number you do have (16 and 100)…

[tex]16*100\\ 1600[/tex]

then divide by the other number that is known (19)…

1600÷19≈84.21

hope this helps!

Answer:

heart

Step-by-step explanation:

Answer:

  heart

Step-by-step explanation:

The 36th shape will be the last shape in the 12th repeat of the sequence.

The 35th shape is next-to-last: heart.

Answer:

A= L x W

A= 25.75 X 10.2

A= 262.65

Step-by-step explanation:

THE AREA OF KATHLEEN'S VEGETABLE GARDEN

Answer:

26.2 cm

Step-by-step explanation:

Area = (b1 + b2)/2 * h

401.92 = (x + 14.4)/2 * 19.8

Divide each side by 19.8

20.2989 = (x + 14.4)/2

Multiply each side by 2

40.6 = x + 14.4

Subtract 14.4 from each side

x = 26.2

Answer:

116.82

Step-by-step explanation:

Since your trying to find a missing base

19.8 x 14.4= 285.12

   401.94-285.12=116.82

Hopes This Helps

Answer:

A = 3

B = 1

C = 2

D = 3

Situation A is graph 3, situation B is graph 1, situation C is graph 2 and situation D is graph 4.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Situation A :

The water tank is empty at first. So the graph must start at origin.

Tank is filled at a constant rate for 3 minutes until it is half full, that is until it is 10 gallons.

Then the tank is emptied at a constant rate for 3 minutes, which is also 10 gallons.

So the slope must be equal.

And the graph must start from 0 and ends at zero which is graph 3.

Situation B :

Water tank is already full. So the graph must start at higher value in the Y axis.

The only possibility for this is graph 1, since all others starts at origin.

Situation C :

Water tank starts at empty. So the graph starts at 0.

First the rate is slower, then it becomes faster. So there will be an increase in the slope, which is graph 2.

Situation D :

Graph starts at origin since the tank is empty.

Then there is a slight decrease in the water for some time. So the graph turns down slightly, again tank is refilled, so the graph goes up.

Hence each of the graph corresponds to the situation is found.

Learn more about Slope here :

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#SPJ2

Step-by-step explanation:

Set up a proportion:

26.5/x = 17/58

Cross multiply and you get:

17x = 1537

x = 90.4

So the measure of PQ is 90.4

Answer:

90.41

Step-by-step explanation:

you need to apple the thales's theorem

which is the comparison like this

ML=PQ JM= QN

Then you multiply in a crossed way like this

26.5 times 58= 1537

then you need to divide it by 17

1537/17= 90.41

Answer:

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

2. In a right triangle, one of the angles has a value of 90 degrees.

3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

6 + 6 × 6 + 6 ÷ 6

using BIDMAS, we do the division first

6÷6=1

then multiplication

6×6=36

leaving us with:

6+36+1=43

Hopefully this helped- have a good day)

Let's do

Done!

Answer:

Option 3

Step-by-step explanation:

This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.

Using complex numbers and radicals, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

The same is valid for radicals, as they are in the [tex]\pm[/tex] format.

Hence, option C is correct.

For more on complex numbers and radicals, you can check https://brainly.com/question/25173944