Mathematics College

## Answers

**Answer 1**

Complete question is;

The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical

velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.

Answer:

A) Polynomial is h(t) = -16t² + 25t+ 4

B) h(1) = 13 ft

Step-by-step explanation:

A) We are given;

h = -16t² + v_o(t) + s_o

Where;

v_o = the initial vertical velocity

s_o = the initial height of the object

t = the time

We are given;

v_o = 25 ft/s

s_o = 4 ft

Thus, polynomial that represents the height is;

h(t) = -16t² + 25t+ 4

B) after a time of 1 second, height is;

h(1) = -16(1²) + 25(1) + 4

h(1) = -16 + 25 + 4

h(1) = 13 ft

## Related Questions

Find the areas of the trapezoids

### Answers

**Answer:**

figure 1 - **10.5 unit^2**

figure 2 - **12 unit^2**

**Step-by-step explanation:**

**figure 1**

1. find the area of the rectangle

*3*2 = 6 unit^2*

2. find the area of the triangle

*(3*3)/2 = 4.5 unit^2*

3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.

*6 + 4.5 = **10.5 unit^2*

**figure 2**

1. find the area of the rectangle

*2*4 = 8 unit^2*

2. find the area of both triangles

*(1*4)/2 = 2 unit^2*

3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.

*8 + 2 + 2 = **12 unit^2*

Corinna rowed 4/5 mile on a rowing machine in 1/6 hour. What is her rowing rate in miles per hour

### Answers

**Answer: 8.20 miles I believe**

The district manager of four different restaurants wanted to investigate whether the four restaurants differed with respect to customers ordering dessert or not based on family classification (with children or without children). Independent random samples of 100 customers who ordered dessert were selected from each restaurant, and the customers were identified as either being with children or without children. After verifying the conditions for the appropriate hypothesis test, the manager calculated a chi-square test statistic of 6.45 with an associated p-value of 0.092. Based on the p-value and a = 0.05, what conclusion should the manager make regarding the proportion of customers who order dessert at each restaurant and the customers' family classification?

A. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.

B. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.

C. There is not convincing statistical evidence to prove that the proportion of customers who order dessert at each restaurant is not the same based on family classification.

D. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.

E. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.

### Answers

**Answer:**

E

**Step-by-step explanation:**

Help me explanation

### Answers

**Answer:**

number 2 - x=50, y =69

**Step-by-step explanation:**

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

Pls I neeed help very hard

### Answers

**Answer:**

96 ft

**Step-by-step explanation:**

Well add the given numbers up and calculate unkown sides using given measurments

Ben ran 2/3 of a mile and walked 5/12 of a mile. How much farther did Ben run than walk?

### Answers

**Answer:**

1.016 of a mile.

**Step-by-step explanation:**

I. NEED. HELP. NOW. PLEASE.

THIS IS DUE IN 3 HOURS

### Answers

**Answer:**

1. $670

2.$920

3.$1500

4.$2100

**Step-by-step explanation:**

Hope it was fast enough & helpful .

Good luck ^^

ANSWER !!

ILL GIVE 40 POINTS !!

DONT SKIP :((

PLUS BRAINLIEST !

### Answers

**Answer:**

[tex] \sqrt{18 } is \: a \: \: answer \: pls \: follow \: me[/tex]

**Answer:**

**Step-by-step explanation:**

-3i Square root of 2

Justin earns a base salary of $1500 per month at

the jewelry shop. He also earns a 3% commission

on all sales. If Just sold $82,975 worth of jewelry

last month, how much would he make for the

month including his base salary and commission?

### Answers

**Answer: $1500 + 3% + $82,975= 84475.03**

**Step-by-step explanation:**

I need some help! I would really appreciate it!

### Answers

**Answer:**

answer is A

**Step-by-step explanation:**

slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig

I’ll give brainliest

Find the area of the smaller sector.

Round to the nearest tenth.

500

7 1371

Area = [? ]ft2

### Answers

**Answer:**

22.2

**Step-by-step explanation:**

Hello There!

This is the sector area formula

[tex]A=\frac{0}{360} (\pi r^2)[/tex]

where 0 = sector angle

and r = radius

The given sector has a measure of 50 degrees and a radius of 7.13

Knowing this information we plug it into the formula

[tex]A=\frac{50}{360} (\pi 7.13^2)\\\frac{50}{360} =0.1388888889\\7.13^2=50.8369\\50.8369\pi =159.7088316\\159.7088316*0.1388888889=22.18178216[/tex]

so we can conclude that the area of the sector is 22.18178216 ft²

finally we round to the nearest tenth

and get that the answer is 22.2

Dory can run 3.25 miles every hour. How long will it take her to run a race that is

16 1/4 miles long?

### Answers

**Answer:**

it would take her 5 hours

**Step-by-step explanation:**

**16 1/2 divided by 3.25 is 5**

Brainliest plz

Jaelyn uses 3 3/4 cups of flour to make 5 batches of pancakes. How many cups of flour she need to make 1 batch?

NO ANSWERS IN UNKNOWN SITES PLEASE OR I'LL REPORT IT!!!

### Answers

**Answer:**

3/4

**Step-by-step explanation:**

Divide 3 3/4 by 5. 3 3/4 as an improper fraction is 15/4. 15/4 * 1/5 (divided by 5) is 3/4. :D dont report me

Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measuresθradians (where0≤θ<2π). The circle's radius is 2 units long and the terminal point is(−1.15,−1.64).

The terminal point is how many radius lenghts to the right of the circle's center?

h=

Then,cos−1(h)=

Does the number we get in part (b) give us the correct value ofθ?

Therefore,θ=

### Answers

**Answer:**

hello attached below is the sketch of the missing diagram

a) h = 2

b) cos^-1 ( 2 ) = ∞

c ) ** **θ ≈ 215°

**Step-by-step explanation:**

a) The length ( h ) to the right of the circles center

= h^2 = ( -1.15)^2 + ( -1.64)^2

∴ h = 2

b) cos^-1 ( 2 ) = ∞

c) The value gotten from b does not give us the value of θ

AB = - 1.64

BC = -1.15

AC = 2

sin^-1 ( - 1.64 / -1.15 )

cos^1 ( -1.15 / 2 ) gives us the value of θ

tan^-1 ( -1.64 / -1.15 )

∴** θ ≈ 215°**

In the right triangle shown, find x.

PLEASE HELP!!!!

### Answers

Cos40= adjacent/ hypotenuse

Cos40=10/x

x=10/cos40 or choice A

Find the 12th term of the geometric sequence 9, 27, 81, ...

### Answers

**Answer:**

**177,147** is the 12th term

**Step-by-step explanation:**

multiply each term by 3

1, 3, 9, 27, 81, 249, 729, 2,187, 6,561, 19,683, 59,049, **177,147**

**list from 1st to 12th term...**

**ty.**

The length of a room is 23 1/2 feet. When using a 1/8 inch = 1 foot scale, find the length of

the room on a floor plan.

### Answers

**Answer:**

2.9375 inches or 2 15/16"

**Step-by-step explanation:**

23 1/2 feet equals 282 inches

(1/8 ÷ 12) = (x ÷ 282)

cross-multiply:

35.25 = 12x

x = 2.9375 or 2 15/16 inches

12. What type of sequence is this? *

1,-6, 36,-216, 1296,...

Arthimetic

Geometric

Neither

### Answers

**Answer:**

The sequence is Geometric sequence

Round 665749 to the nearest hundred thousand?

### Answers

Answer = 700000

I hope this helps.

666,000, because 665,749 is closer to 666,000 than 665,000

A cylinder has a base radius of 3m and a height of 20m. What is its volume in cubic m, to the nearest tenths place ?

### Answers

**Answer:**

are we in that same class like...

-jk-

it should be 565.5

**Step-by-step explanation:**

Helpppppppppppppppppppp

### Answers

Dude stop commenting that people need real answer not a link

Does john short qualify for overtime? Explain

### Answers

**Answer:**

?

**Step-by-step explanation:**

What is the value of x?

### Answers

The answer you’re looking for is 19

help plz with Algebra question I attached a file

### Answers

**Answer:**

x=4.63

**Step-by-step explanation:**

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]

x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

Select the correct answer. The graph of the function is shown f(x)=sin(x). What is the domain of the function? PLATO USERS

### Answers

**Answer:**

Domain:(−∞,∞),{x|x∈R}

**Step-by-step explanation:**

the domain will be Domain:(−∞,∞),{x|x∈R} because

Thedomainof theexpressionis all real numbers except where theexpressionis undefined. In this case, there is no real number that makes theexpressionundefined.

**Answer: Option C: (−∞,∞)**

**Step-by-step explanation:**

answer is for plato

please help.

grocery store workers restock cans of soup and bags of rice at constant rates. which item was restocked at a faster rate and what is the rate? let x represent the number of minutes and y represent the total number of bags or cans

### Answers

**Answer:**

Cans of soup are restocked at a faster rate

**Step-by-step explanation:**

With an equation y=mx+b, m = slope

m of rice = 12

The slope of the graph for the cans of soup is 30/2 = 15

m of soup = 15

15 is greater than 12

How many diagonals does a 12-sided convex polygon have? What is the general

rule for a convex polygon with n sides?

### Answers

**Answer:**

goodluck!

**Step-by-step explanation:**

well is 12 sided and has digonal so

**Answer:**

54

**Step-by-step explanation:**

No of diagonals in a n sided polygon

[tex]= \frac{n(n-3)}{2} [/tex]

Therefore,

No of diagonals in a 12 sided polygon

[tex]= \frac{12(12-3)}{2} [/tex]

[tex]= 6\times 9[/tex]

[tex]= 54[/tex]

Alright I’m not smart please help

### Answers

**Answer:**

98 sq. in.

**Step-by-step explanation:**

Area of Triangle formula : 1/2 x Base x Height

1/2 x 14 x 14 =98

What is the slope between (-4, 0) and (0, 2)?

### Answers

Answer:0.5

Step-by-step explanation: y = 0.5x + 2

Evaluate the discriminant.

Exact answer (no rounding)

0= -4x – 24x – 38

### Answers

answer: x= -19/14 —> (19 over 14)