5. A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands
on the ground. The graph below shows the height, y, of the ball from the ground after x
seconds

For which interval is the ball's height always decreasing?
A. 0 B. 0 C. 2.5 D.) 2

Answer:

Below.

Step-by-step explanation:

A. Required probability = 11/80.

B. 3700 * 11/80 = 508.75 so the predicted number would be 509.

Answer:

10^-5= 1/10^5

so option c is correct

Answer:

Step-by-step explanation:

110=4t+90(being vertically opposite angles)

110-90=4t

20/4=t

5=t

Answer:

Hello! answer: t = 5 degrees

Step-by-step explanation:

these are vertical angles meaning they will have the same measure! 4 × 5 = 20 and 20 + 90 = 110 therefore t = 5 HOPE THAT HELPS!

Answer:

(3x+1)(x+5)

Step-by-step explanation:

Sorry for my handwriting lol hope this makes sense

Answer: 0.4 or 4 i think

Answer:

option C

Step-by-step explanation:

Answer:

Step-by-step explanation:

you’re given A=0.62 and B/A=0.93

you’re solving for B

substitute your A value of 0.62

B/0.62=0.93

same as B/0.62=0.93/1

now cross multiply

B= 0.62x0.93

B=0.5766

B=0.58

Answer:

10344.827586 basketballs

Step-by-step explanation:

A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?

Step 1

We find the volume of the room

The room is rectangular in shape

Volume = Length × Width × Height

= 15ft × 20ft × 10ft

= 3000ft³

Step 2

Basket ball is spherical in shape

Volume of a sphere = 4/3πr³

Diameter = 9.6 inches

Radius = Diameter/2 = 9.6 /2 = 4.8 inches

Convert Radius from inches to ft

= 4.8inches/12

= 0.408333 feet

Volume of a sphere = 4/3 × π × 0.408333³

= 0.29 ft³

Step 3

3000 ÷ 0.29

10344.827586

Answer:

B

Step-by-step explanation:

4x=3y

x/y=3/4

Just like the photo I attached

If 4x=3y, then 3/4 is the ratio of x to y in the simplest form. Option B is correct.

The ratio of x to y can be determined by dividing both sides of the equation 4x = 3y by y:

4x/y = 3y/y

4x/y = 3

To express the ratio of x to y in simplest form, we divide both sides of the equation by 4:

x/y = 3 / 4

Therefore, the ratio of x to y in simplest form is 3/4. option B is correct.

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ4

Answer:

2nd chioce

Step-by-step explanation:

Answer:

6598.2 in^2

Step-by-step explanation:

Given data

Diameter= 35in

Radius= d/2= 35/2= 17.5in

Height = 60cm

The expression for the curve surface area of a cylinder is

CSA=2πrh

substitute

CSA= 2*3.142*17.5*60

CSA= 6598.2 in^2

Hence the CSA is 6598.2 in^2

Answer: 5/4

Step-by-step explanation:

4/6

just add the numerators and denominators

Answer: [tex]7,5.66,39^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]IJ=9\\\angle I=51^{\circ}[/tex]

from figure, we can write

[tex]\Rightarrow \sin 51^{\circ}=\dfrac{HJ}{9}\\\\\Rightarrow HJ=9\sin 51^{\circ}=6.99\approx 7[/tex]

[tex]\Rightarrow \cos 51^{\circ}=\dfrac{HI}{9}\\\Rightarrow HI=9\cos 51^{\circ}\\\Rightarrow HI=5.66[/tex]

In right angle trianle, the sum of the remaining two angles is [tex]90^{\circ}[/tex]

[tex]\therefore 51^{\circ}+\angle J=90^{\circ}\\\Rightarrow \angle J=90^{\circ}-51^{\circ}\\\Rightarrow \angle J=39^{\circ}[/tex]

Answer:

2/5

Step-by-step explanation:

Number of swans Claire can make in one minute = 1 ÷  21/2

convert 2 1/2 to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator

2 1/2 = 5/2

1 ÷ 5/2

1 x 2/5 = 2/5

Its 10.4 you are correct

Answer:

(a+b)²-2ab

Step-by-step explanation:

First we need to factorize (a+b)²

(a+b)² = a² + 2ab + b²

(a+b)² = a²+b²+2ab

Subtract 2ab from both sides

(a+b)² - 2ab = a²+b²+2ab - 2ab

(a+b)²-2ab = a²+b²

Swap;

a²+b² = (a+b)²-2ab

Hence the expression of a² + b² is  (a+b)²-2ab

Answer:

4,8,12,16,20

Step-by-step explanation:

Answer:4

Step-by-step explanation:

x+8=2x-1

so x-9=0

and x=9

so x+6=9+6=15

and x+8=9+8=17

You can do Pythagoras' theorem:

17^2-15^2=64

so [tex]\sqrt{64}[/tex]=4

Answer:

2m

Step-by-step explanation:

GCF of 8 and 18 is 2 and m is the only variable in both parts of the equation.

Answer:

a = 27

b = 38

c = 19

Step-by-step explanation:

a + b + c = 84

b = 2c

a = 8+c

8+c +2c+c = 84

4c + 8 = 84

4c = 76

c = 19

b = 2(19) = 38

a = 8 + 19  = 27

Answer:

[tex]h=25[/tex]

Step-by-step explanation:

From the question we are told that:

Velocity [tex]v=40fts[/tex]

The height h function

 [tex]\large h=-16t^2+40t[/tex]

Generally time t is mathematically given by

 [tex]h'=-32t+40[/tex]

 [tex]-32t+40=0[/tex]

 [tex]t=\frac{40}{32}[/tex]

 [tex]t=1.25[/tex]

Therefore  the ball's maximum height is given as

  [tex]\large h=-16(1.25)^2+40(1.25)[/tex]

 [tex]\large h=-16(1.25)^2+40(1.25)[/tex]

 [tex]h=25[/tex]

The shortest distance between two points is a straight line.

Use the distance formula for points.

In the diagram, we are given two points:

(4,2) and (-3,0).

Let d = distance between the two points.

d = sqrt{(-3 -4)^2 + (0-2)^2}

d = sqrt{(-7)^2 + (-2)^2}

d = sqrt{49 + 4}

d = sqrt{53}

d = 2.2360679775

d = 2.2 miles

Answer:

x <6

Step-by-step explanation:

bots these days i swear

Answer:

72 ft^2

Step-by-step explanation:

area = length x width

1/2 x 8 = 3

3 x 24 = 72