A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds), elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.

Answers

Answer 1

Answer:

a. 15 meters.

b. 20 meters.

Step-by-step explanation:

a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.

The ball will be 15 meters high.

b. The maximum height reached by the ball.

To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.

In this case, a = -5 and b = 20.

-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.

Then, we find the y-coordinate by putting 2 where it says "t".

h(2) =  20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.

Hope this helps!

Answer 2

Answer:

pen

Step-by-step explanation:


Related Questions

expand the following 8 (3x-y)

Answers

Answer:

24x-8y

Step-by-step explanation:

8(3x-y) - distributive property

24x-8y

Answer:

24x - 8y.

Step-by-step explanation:

8(3x - y) = 8 * 3x - 8 * y = 24x - 8y

Hope this helps!

Evaluate. 8−2⋅3+7 Enter your answer in the box

Answers

Answer:

9

Step-by-step explanation:

8−2⋅3+7

PEMDAS

Multiply and divide first

8−6+7

Then add and subtract

2+7

9

Answer:

9

Step-by-step explanation:

Remember to follow the order of operations, PEMDAS.  Note that PEMDAS =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, multiply -2 with 3:

-2 * 3 = -6

Next, follow the left -> right rule. First subtract, then add:

8 - 6 = 2

2 + 7 = 9

9 is your answer.

~

An A-frame cabin is 26.23 feet high at the center and the angle the floor makes with the base is 53. How
wide is the base?

Answers

Answer:

60.84 feet

solution,

[tex]tan \: theta = \frac{perpendicular}{base} \\ tan \: (53) = \frac{bc}{ac} \\ tan \: (53) = \frac{26.23}{ac} \\ ac = \frac{26.23}{0.4311} \\ ac = 60.84 \: feet[/tex]

Hope this helps...

Good luck on your assignment..

The zeroes of the function are . of the zeroes have a multiplicity of 2.

Answers

Answer:

The three roots have a multiplicity of 2

Step-by-step explanation:

The zeros of the function refers to those points on the x-axis on which the curve passes through

These are the points -2,0 and 4

Now we want to determine which of these points has a multiplicity of 2?

The correct answer is that all have a multiplicity of 2 since 2 can be factored out

2(-1) , 2(0) and 2(2)

Answer:

the answer is A. none

Can someone help me
10 pts

Answers

Answer:

x=7

Step-by-step explanation:

If BD is the bisector, then  ABD = DBC

3x-1 = 34-2x

Add 2x to each side

3x-1+2x = 34-2x+2x

5x-1 =34

Add 1 to each side

5x-1+1 = 34+1

5x= 35

Divide by 5

5x/5 = 35/5

x = 7

One advantage to using your debit card is: A:You don’t have to subtract it from your checking account balance B: It is convenient C:You can spend as much as you want D:You can give your friend the PIN number in case you forget it. Plz help me

Answers

Answer:

B.

Step-by-step explanation:

First, you never want to give out your banking information to anyone, so D is incorrect. A is incorrect because a debit card withdraws money from your checking account to pay for items you purchase. C is also incorrect because you can only spend the same amount of money in your checking account.

The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes.

Answers

Hi,

it'took 70 minutes to empty the pool.  

After 20 it's stay 45 000 litres.   So in 50 minutes, 45 000 litres are gone.  

So  :    45 000 / 50 =  4500/5 = 9*5 *100 /5 = 900

900 litres is off  every minute.

So the  pool contained  :  900 *70 =  63 000 litres  in the beginning.

Please answer this in two minutes

Answers

Answer:

Tan(x) = 1/[tex]\sqrt{3}[/tex]

We know that Tan 30 = 1/[tex]\sqrt{3}[/tex]

Therefore, x = 30 degrees

X would be 30 degrees, hope this helps

34.9 was rounded to 1 decimal place. What is the upper bound?

Answers

Answer:  34.95

=======================================================

Explanation:

The upper boundary, or upper bound, is a fence of sorts.

Note how the following values all round to 34.9, when rounding to one decimal place

34.9434.94534.94934.949934.9499934.94999934.949999934.94999999

We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9

All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0

The figure is not trying to scale. PQ and MN are straight lines. Find X

Answers

Answer:
45°
Explanation:
AngleMR is 90° which means Angle MP and angle X have to be equivalent and all three angles add up to 180°, making angle X equal to 45°

write an equation to represent the cost of printing photos (C) in terms of the number photos printed (P)

(use picture for the information)

PLEASE answer asap! it will be appreciated.

Answers

Answer: C=0.20p

Step-by-step explanation:

As you could see if you print 10 photos you will have to pay 2 dollars which means if you print 1 photo you will have to pay 20 cents.

The side lengths of a square are each 3p. By adding 5 to the length and subtracting 5 from the width, a rectangle is made. What is the area of the rectangle?

Answers

Answer:

A = 9p² - 25

Step-by-step explanation:

The side lengths were 3p.  5 was added to the length and subtracted from the width.  This means that

l = 3p + 5

w = 3p - 5

Plug these values into the formula for the area of a rectangle.

A = lw

A = (3p + 5)(3p - 5)

A = 9p² - 25

The area of the rectangle is 9p² - 25.

PLS HELP ME IVE BEEN TRYING

Answers

Answer:

try and let me know is it correct or not line A-4 lineB-8

Step-by-step explanation:

i also use mathswatch

47:PLEASE HELP Find the y-intercept of -x +2y=20

Answers

Answer:

(0,10)

Step-by-step explanation:

-x + 2y = 20

2y = x +20

y = 1/2x + 10

This is slope-intercept form. The y-intercept is 10.

(0,10)

Answer:

(0, 10)

Step-by-step explanation:

Can be simplified to

2y = x+20 by adding x to both sides

then divide by 2 to get to slope intercept form: y = ax+b

b is the y-intercept

y = 1/2x + 10

so the answer is 10

Suppose the area of a rectangle is represented by the expression 100 – 49. When the expression is fully factored, the factors represent the dimensions of the rectangle. What expressions represent the dimensions of the rectangle?

Answers

Answer:

a - b and a + b.

Step-by-step explanation:

Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.

According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.

In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).

We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.

Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).

Hope this helps!

using the frequency table. what fraction of students passed the test

Answers

Add the frequency for 16 and above :

5 + 7 + 7 = 19

19 passed

Total students ( add all frequencies) is 30

The fraction that passed is 19/30

Help is much appreciated. It is easy but, for me I am just confused.

Answers

What do you need help on ?
What is the question that you’re confused on or the thing?

Which of the following are not polynomials? Able to be more than one.
A. X-2 +X+1
B. x2/3 + v3x+1
c.2/3x-2+x+1
D. x3+0x2 + 2x + v2
E.2/x3+x+1/2

Answers

The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.

What are polynomial terms?

The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.

x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.

Therefore, the correct option is B. x2/3 + v3x+1.

To learn more about polynomial terms, refer to the link:

https://brainly.com/question/11536910

#SPJ1

In the figure, angle A measures 45° and angle E measures 15°.
The measurement of angle C is___
The measurement of angle D is___

Answers

Answer:

m<C = 45

m<D = 30

Step-by-step explanation:

m<A + m<B + m<C = 180

45 + 90 + m<C = 180

m<C = 45

m<E + m<A = 60

60 + 90 + m<D = 180

m<D = 30

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.

Answers

Answer:

m-2times 4

Step-by-step explanation:

Answer:

n/4 -1

Step-by-step explanation:

i got it from khan

Latisha worked for six hours and 45 minutes how should she write that on her time card

Answers

Answer:

Hey there!

6 hrs 45 mins =  405 mins, or 6.75 hours.

Hope this helps :)

Mariah is completing a language arts review sheet she estimates that it takes her one minute to complete each multiple-choice question and six minutes to complete each essay question this equation represents the total time it takes her to complete X multiple choice question and y essay question X plus 6Y equals 36 select the correct answer from each drop down menu

Answers

Answer:

The answer is below

Step-by-step explanation:

Given the time taken to answer each multiple choice question as one minute, the time taken to x multiple choice question = 1 minute/question × x questions = x minutes

Given the time taken to answer each essay question as six minute, the time taken to y essay question = 6 minute/question × y questions = 6y minutes

Therefore the total time taken to complete X multiple choice question and y essay questions = the time taken to x multiple choice question + the time taken to y essay question = x + 6y

Answer:  

directly off of edmentum                                                  

If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°hat is mArc S T?

Answers

Answer:

The answer is below

Step-by-step explanation:

In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64°  87°

Given that:

mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees

∠SOR = ∠TOU  (Vertically opposite angles are equal). Therefore:

13 x = 15x - 8

solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x = 13(4) = 52°

∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

Answer:

C) 64 degrees

Step-by-step explanation:

just took the test on edg2020

13. Fill in this diagram so that each of the rows, columns and
diagonals adds to 18.
What is the sum of all the corner numbers?
(A) 20
(B) 22
(C) 23
(D) 24
(E) 25​

Answers

Answer:

D. 24

Step-by-step explanation:

Let's name the diagram

Row 1: a1, a2, a3

Row 2: b1, b2, b3

Row 3: c1, c2, c3

From the diagram,

b2 and c2 have been given

All rows, columns and diagonal must sum up to 18

If b2=6 and c2=4

a2=18-(6+4)

=18-10

=8

a2=8

Assume a1=4

Diagonals a1+b3+c3=18

4+6+c3=18

10+c3=18

c3=18-10

=8

Assume a3=6

Diagonals a3+b2+c1=18

6+6+c1=18

12+c1=18

c1=18-12

=6

So b1=18-(6+4)

=18-10

=8

b1=8

b3=18-(6+8)

=18-14

=4

b3=4

Input all the numbers into the boxes

We have,

4 8 6

8 6 4

6 4 8

Corner numbers are a1,a3,c1,c3

=4,6,6,8

Sum of all the corner numbers=4+6+6+8

=24

D. 24

Jan threw a javelin. h(d) the height of the tip of the javelin (in meters) as a function of its horizontal distance (in meters) d from the throwing arc. Match each statement with the feature of the graph that most closely corresponds to it.

Answers

Answer:

x - intercept -> Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> the highest point the javelin reached was 14 meters above the ground

increasing or decreasing interval -> Jan threw the javelin a distance of 90 meters

Step-by-step explanation:

x - intercept is where y = 0. Check where y is 0. At x = 90. Meaning it's Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> there is only a maximum on the graph, look at how the points never go down and back up, but rather up then down.

increasing or decreasing interval is basically just the interval or the x values and they go to 90 so..

please help find the correct solutions for the equations below 2x+20=-3x-25 x= -7x+14=4x- 19 x= 10x-3=-5x-18 x= answers 8 5 6 24 -1 -9 20 3 10 -2

Answers

Answer:

I think its 8

Step-by-step explanation:

Solve the system of equations by substitution.
2m - 7n = -18.5
m = 10 - 2n

Answers

you can just substitute the m in the first equation
like this ; 2(10 - 2n) - 7n = -18.5

Suppose the manager agrees to pay each employee a​ $50 bonus if they meet a certain goal. On a typical​ Saturday, the​ oil-change facility will perform 4545 oil changes between 10 A.M. and 12 P.M. Treating this as a random​ sample, at what mean​ oil-change time would there be a​ 10% chance of being at or​ below? This will be the goal established by the manager. There would be a​ 10% chance of being at or below nothing minutes. ​(Round to one decimal place as​ needed.)

Answers

Answer:

The answer is given below

Step-by-step explanation:

The mean (μ) = 21.2 minutes and the standard deviation σ = 3.5 minutes.

the​ oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M, therefore the sample size n = 45

there be a​ 10% chance of being at or​ below. From the normal distribution table, The z score corresponding to a probability of 10% (= 0.1)  is -1.28.

z = -1.28

To calculate the mean​ oil-change time, we use the formula:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\ Substituting \ values:\\-1.28=\frac{x-21.2}{\frac{3.5}{\sqrt{45} } }\\\\x-21.2=-0.6678\\\\x=-0/6678+21.2\\\\x=20.5[/tex]

how can knowledge of circles apply to daily life??

Answers

Answer:

sdgsdgsdgsdgsdgsd

Step-by-step explanation:

gsdgsdgsdgsdgsd

What is the measure of ∠x angles are not necessarily drawn to scale.

Answers

Answer:

58 degrees

Step-by-step explanation:

The other two angles are 56 and 66 degrees and you know that all the angles add up to 180 degrees.

So just subtract:

180-56-66= 58 degrees

it works because the lines are parallel in the picture.

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