A rock is thrown straight up from the top of a bridge that is 75 ft high with an initial velocity of 32 ft/s. The height of the object can be modeled by the equation s(t) = -16t^2 + 32t + 75. Determine the time(s) the ball is lower than the bridge in interval notation.

In two or more complete sentences, explain why (-∞, 0) is not included in the solution.

I tried to solve it, but given that the Critical Numbers/Roots are 0 and 2, the solution should be (-∞, 0) ∪ (2, ∞)

Answer:

x = -13

Step-by-step explanation:

9 - 2x = 35

-9           -9

-2x = 26

divide by -2

x = -13

Answer: 13

Step-by-step explanation:

first, - 9 from both sides, then divide both sides by 2 to isolate the variable that is how

Answer:

Cable attached height (Perpendicular) = 10√3 m

Step-by-step explanation:

Given:

Length of cable (Hypotenuse) = 20 m

Angle θ = 60°

Find:

Cable attached height (Perpendicular)

Computation:

Perpendicular/Hypotenuse = Sinθ

Perpendicular/20 = Sin 60

Perpendicular/20 = √3 / 2

Perpendicular = 10√3

Cable attached height (Perpendicular) = 10√3 m

Answer:

D

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

x+4=14

subtract 4 from both sides to cancel out the 4 and leave you with and X

x=-18

Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

Answer:

3.56

Step-by-step explanation:

The fraction must equal 1 when simplified because 6.93 times 1= 6.93

Because 4.21 is found on both top and bottom, they get eliminated. So only 3.56 is left.

Hope this helps! :)

Answer:

x(.25)

Step-by-step explanation:

X is the gift and you multiply it by .25 and that takes 25% off.

Hope this helps :)

Answer:

y = 13/7x - 13

Step-by-step explanation:

We are given the x-intercept of (7, 0) and the y-intercept of (0, -13). We can solve for the slope using the formula [ y2-y1/x2-x1 ] and the points given.

-13-0/0-7

-13/-7

13/7

We can write the equation in slope-intercept form which is [ y = mx + b ] where m = slope and b = y-intercept. We are already solved for the slope and was given the y-intercept so we can fill it into the formula.

y = 13/7x - 13

Best of Luck!

Answer:

The last one.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is D I believe

Answer:

c=1/8

Step-by-step explanation:

2c-1/4=0

2c=1/4

2c/2=1/4/2

c=1/4x1/2

c=1/8

Answer:

Answer 4

Step-by-step explanation:

The slope is 7.8-4.8/12-7 = 3/5 = 0.6

So choose between 3 & 4

Plug in one of the points in 3:

7.8=0.6*12+1.8

7.8=7.2+1.8

7.8=9 wrong

Plug in 4:

7.8=0.6*12+0.6

7.8=7.2+0.6

7.8=7.8 correct

Answer:

60

Step-by-step explanation:

1/3 of 180 is 60...bshsjka

Answer:

See below

Step-by-step explanation:

15)

In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is [tex]x[/tex].

[tex]180 = 44 + 90 + x[/tex]

[tex]180 = 134 + x[/tex]

[tex]x= 46[/tex]

The angle [tex]y[/tex] of the other triangle plus the angle [tex]x[/tex] of the right-angle triangle is equal to 90º, therefore they are complementary angles.

So,

[tex]90 = x + y[/tex]

[tex]90 = 46 + y[/tex]

[tex]y=44[/tex]

To find ?, we have

[tex]180 = 58 + 44 +?[/tex]

[tex]180 = 58 + 44 +?[/tex]

[tex]? =78[/tex]

16)

The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is

[tex]180 = x + 50 + 25\\180 = x+ 75\\x=105[/tex]

Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have

[tex]180 = 36 + 105 + y[/tex]

[tex]180 = 141+ y[/tex]

[tex]y=39[/tex]

[tex]?=39[/tex]

Answer:

0. 048

Step-by-step explanation:

Given that V=IR

R=V/I

R=6.0/125

R=0. 048ohms

Answer:

[tex]B =120[/tex]

Step-by-step explanation:

Given

Represent Kitchen with K and Bedroom with B.

So:

[tex]K = 50ft^2[/tex]

[tex]K = 10 + \frac{1}{3}B[/tex] --- 10 more than 1/3 of Bedroom area

Required

Determine the bedroom area

The expression of K and B has been determined above.

The next step is to substitute 50 for K in the second equaion

[tex]K = 10 + \frac{1}{3}B[/tex]

[tex]50 = 10 + \frac{1}{3}B[/tex]

Multiply through buy 3

[tex]3 * 50 = 3 * 10 +\frac{1}{3}B * 3[/tex]

[tex]150 = 30 +B[/tex]

Make B the subject

[tex]B =150 - 30[/tex]

[tex]B =120[/tex]

Hence, the area of the bedroom is 120ft^2

Answer:

120

Step-by-step explanation:

no explanation

Answer: 3.81

Step-by-step explanation:

Answer:

3.81

Step-by-step explanation:

1. We assume, that the number 25.4 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 25.4 is 100%, so we can write it down as 25.4=100%.

4. We know, that x is 15% of the output value, so we can write it down as x=15%.

5. Now we have two simple equations:

1) 25.4=100%

2) x=15%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

25.4/x=100%/15%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 15% of 25.4

25.4/x=100/15

(25.4/x)*x=(100/15)*x       - we multiply both sides of the equation by x

25.4=6.66666666667*x       - we divide both sides of the equation by (6.66666666667) to get x

25.4/6.66666666667=x

3.81=x

x=3.81

Answer:

l=2w-3

Step-by-step explanation:

Answer:there you go

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

20+5x=10+10x

x = 2

Answer:

see explanation

Step-by-step explanation:

(b)

Given

x² - 8x + 20 = (x - 4)² + 4

(x - 4)² will be positive for all real values of x , except x = 4, where it will be zero.

Then (x - 4)² > 0, so

(x - 4)² + 4 > 0 , that is always positive

Answer:

You just need to substitute 4 in for h.

So 48 + 25(4) = 48 + 100 = 148

Answer:

The answer is 148 dollars

Step-by-step explanation:

Answer:

$141.44

Step-by-step explanation:

- $17.68 each plate

- There are 8 plates

17.68 times 8 = $141.44

Answer:

3t+2

Step-by-step explanation:

khan said so

Answer:

It’s line S

Step-by-step explanation:

Don’t ask how Ik, just trust the process...Nd quizzez

The asymptote for the given exponential function shown in the graph is line r. Option b is correct.

An asymptote is a straight line or curve that a graph approaches but never touches. Asymptotes can occur in various types of graphs, including functions, equations, and curves. In a function, an asymptote can occur when the function approaches a certain value as the input variable approaches infinity or negative infinity.

Here,

Asymptotes can be vertical, horizontal, or slanted, and they can occur on either side of the graph. Asymptotes are important in mathematical analysis, as they can help determine the behavior of a function or equation as the input variable increases or decreases without bounds.

So, the asymptote for the given exponential function shown in the graph is line r. Option b is correct.

Learn more about asymptote here:

https://brainly.com/question/4084552

#SPJ3

Answer:

fasle

Step-by-step explanation:

brainlyest

Answer:

The area of triangle ACE before dilation is:  30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

6x/6 = 180/6

x = 30 square inches.

Therefore, the area of triangle ACE before dilation is:  30 square inches

Answer:

The slope and y-intercept of Ralph´s T-Shirt Company is m=2 and b=20

The slope and y-intercept of Frank´s T-Shirt Company is m=1 and b=0

The solution of the graph is where the two lines intersect, the points (4,40)

Step-by-step explanation:

I hope this helps!!