What's the solution to 3x – 6 < 3x + 13? A) x > 5 B) All real numbers C) There are no solutions. D) x < –5

Given:

The height of ball is represented by the below function:

[tex]h(t)=-16t^2+20t+24[/tex]

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

[tex]h(t)=-16t^2+20t+24[/tex]

At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].

[tex]-16t^2+20t+24=0[/tex]

Taking out greatest common factor.

[tex]-4(4t^2-5t-6)=0[/tex]

[tex]4t^2-5t-6=0[/tex]

Splitting the middle term, we get

[tex]4t^2-8t+3t-6=0[/tex]

[tex]4t(t-2)+3(t-2)=0[/tex]

[tex](t-2)(4t+3)=0[/tex]

Using zero product property, we get

[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]

[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]

Time cannot be negative, so [tex]t=2[/tex].

Therefore, the ball will reach the ground after 2 seconds.

Answer:

Solution,

Radius(r)=6 cm

Height(h)=20 cm

Volume of cylinder= pi (r)^2 h

=3.14*(6)^2*20

=3.14*36*20

=2260.8 cm^3

Hope it helps

Good luck on your assignment

Answer:

There are many ordered pairs that are solutions to the equation but here are the few; (0,2.5), (2,2), (4,1.5), (-2,3), (-4,3.5), (-6,4), (6,1), (8,0.5), etc...

Step-by-step explanation:

I used a graphing calculator

hope this is helpful

Answer: See the attached image for the answers. I've arranged the tiles in the proper order.

This is known as a five number summary.

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

Explanation:

The first thing to do is to sort the numbers from smallest to largest

You should get this set {2, 4, 7, 8, 16, 19, 21}

The middle most value is 8. So this is the median or the second quartile.

--------------

Split the data set into two lists like so

L = {2,4,7}

U = {16,19,21}

Everything in set L represents the lower set of values smaller than the median. Set U represents the upper set of values larger than the median.

Find the median of sets L and U to get 4 and 19 respectively. These represent the values of Q1 and Q3

Q1 = first quartile = lower quartile = 4

Q3 = third quartile = upper quartile = 19

--------------

As you can probably guess, the min and max are the smallest and largest values of the set. We can see that min = 2 and max = 21.

Step-by-step explanation:

since given triangle is right angle,

Taking angle X as reference angle.

Tan x =p/b

Tan x=37/8

Tan x=4.625

X=tan^-1(4.625)

X=77.79

X=78°

Answer:

I have not done this math in a while but I think it is -8

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

10 × cost price = 16 × selling price

cost price : selling price = 16 : 10

=8:5

loss % = (3/8)×100

=37.5%

Answer:

It's a loss

Step-by-step explanation:

Answer:

-81

Step-by-step explanation:

-3 ^4

The negative is not included in the exponent

- (3)^4

- 3*3*3*3

-81

Answer:

Answer 1= 2 square

Answer 2= 33

Answer:

51

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 54 and the smallest number is 3

54-3 = 51

Answer:

9/25

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

total male = 14

total female = 16

total students 30

there are only 6 females that are juniors so the probability of picking one would be 6/30

and 6/30 is equal to 0.2 (divide)

and 0.2 is equal to 20% (move the decimal right two spaces)

Answer:

15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)

Step-by-step explanation:

Answer:

instead of finding x find an ps4

Step-by-step explanation:

like what

Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

Answer:

B

Step-by-step explanation:

It is necessary and the strategic way to collect the waste materials and separate them by material type before recycling. Hence, this is voluntary response bias. The survey overestimates community support for change to the recycling program.

Recycling is the process regenerating new products from the decomposed materials such as broken plastics, fuel from biowastes, glasses from broken glass parts etc.

Recycling technology is a nature genuine strategy and it helps to reduce the accumulation of wastes on earth surface. Not all people are aware of the significance of this method.

Therefore, the bias possible to be occur for the question is from voluntary response and the survey underestimates community support for change to the recycling program.

To find more on recycling, refer here:

https://brainly.com/question/11861824

#SPJ2

Answer: 16 feet

Step-by-step explanation:

Looking at the shape, one can notice that the unknown side can be found by adding the sides that are circled because they will give the same distance.

The length of the unknown side is therefore:

= 8 + 8

= 16 feet

Answer:

3017.54

Step-by-step explanation:

Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2

Plug in the numbers 3.14 * 31 ^2

31 is half the diameter or the radius

Answer = 3017.54

Answer:

ok i will help .........

Answer:

Hello! answer: 7

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

therefore the missing leg is 7

Answer:

59cm^2

Step-by-step explanation:

first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2

hope this helps

Answer:

x = 10.28

Step-by-step explanation:

sin = opp/hyp

sin 40 = x / 16

multiply both sides by 16

16 * sin40 = x

x = 10.284601754984629

Rounded

x = 10.28

Answer:

The measure of angle A is 48.4 degrees

Step-by-step explanation:

To find the measure of angle A, we are going to use the cosine rule

We have this as;

a^2 = b^2 + c^2 - 2bc Cos A

a^2 = 11^2 + 13^2 -2(11)(13) cos A

100 = 121 + 169- 286cos A

286 cos A = 290-100

286 cos A = 190

cos A = 190/286

cos A = 0.6643

A = arc cos 0.6643

A = 48.4 degrees

( 78 -75 / 75 ) × 100 =

(3/75 )× 100 =

( 3 / 3 × 25 ) × 100 =

(1/25) × 100 =

100/25 =

% 4

Answer:

312.5

Step-by-step explanation:

Is means equals and of means multiply

75 = 24% * n

Change to percent form

75 = .24 n

Divide each side by .24

75/ .24 = .24n/.24

312.5 = n

893.2638

is this what you mean?

Answer:

a. x is 55

b. 20 white marbles

Step-by-step explanation:

Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)

a. The number of identical marbles in the box, n = 60

The number of red marbles = x

The number of white marbles = The rest of the marbles which are not red

The probability that a marble drawn is white, P(y) = 1/12

Let 'y' represent the number of white marbles

From probability theory, we have;

The number of white marbles, y = n × P(y) = 60 × 1/12 = 5

The number of red marbles, x = n - y = 60 - 5 = 55

x = 55

b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;

Let Δy represent the number of white marbles added, therefore;

P(y) = (y + Δy)/(y + Δy + x)

∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16

5 × (60 + Δy) = 16 × (5 + Δy)

300 + 5·Δy = 80 + 16·Δy

16·Δy - 5·Δy = 300 - 80

11·Δy = 220

Δy = 220/11 = 20

The number of white marbles that must be added, Δy = 20 white marbles