A falling object travels a distance given by the formula d= 3t + 3t ^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 50 feet?

Answers

Answer 1

Answer:

3.61 sec

Step-by-step explanation:

Set the given d= 3t + 3t ^2 equal to 50 and solve for t:

3t^2 + 3t - 50 = 0

This is a quadratic equation with coefficients 3, 3 and -50.  The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609

The roots of this quadratic are therefore:

     -(3) ± √609           -3 ± 24.68           21.68

t = --------------------  =  -------------------  =  ----------- = 3.61 sec

           2(3)                           6                     6


Related Questions

Use the discriminant to determine the number of real solutions to the quadratic equation. 11m2+12m+4=0 What is the number of real solutions? Select the correct answer below: 0 1 2

Answers

Answer:

0

Step-by-step explanation:

The discriminant is

12^2 - 4*11*4 = -32

Since it is negative, there are 0 real solutions

Consider the function f(x) = x5 – 3x2 + 5x. Let g(x) = f(–x + 4). Which shows the graphs of f(x) and g(x)

Answers

Answer:

The first graph

Step-by-step explanation:

I think it is the first one because I remember doing this. If this is wrong please forgive me. Have a wonderful day!

First graph shows the function f(x) and g(x).

What is graph?

" Graph is representation of the coordinates on the coordinate plane along x-axis and y-axis."

According to the question,

Given function,

[tex]f(x) = x^{5} -3x^{2} +5x\\\\g(x) = f(-x+4)[/tex]

Plot the given functions on the graph we get,

Compare the drawn graph with the given graph.

First graph is same as graph drawn for the function f(x) and g(x).

Hence, we conclude that  first graph shows the function f(x) and g(x).

Learn more about graph here

https://brainly.com/question/20381610

#SPJ2

if a major sector is 60% of circle whats the measure of central angle

Answers

Answer:

S divided by R = 0

the arc is 5.9 and radius is 3.5329 then the central idea becomes 1.67

Step-by-step explanation:

Express the recurring decimal 0.1555555555... as a fraction give answer in its simplest form

Answers

in it's simplest form it's 0.1555555555

I don’t need you to explain just answer.

Answers

Answer:

domain= {-4,2,3,4}

range = {-4,0,2,3}

Does (–2, 0) make the equation y = x true?

Answers

no. y=x would mean it would either be (-2,-2) or (0,0). basically they have to be the same.

A premier credit card has an initiation fee that provides you with the privilege to use it and a monthly fee after the first two months. The initiation fee is $62 and the monthly fee is $30 per month after the first two months. If C represents the cost and g represents the total number of months, which equation could represent this plan when you have this card for more than two months?

A. C = 30 + 62(g-2)
B. C = 30 + 62(2-g)
C. C = 62 + 30(g-2)
D. C = 62 + 30(2-g)

Answers

Answer:

The correct option is C.

Step-by-step explanation:

To have this credit card there is two fees, one that is fixed payed upfront and other that is payed after the second month. The fixed fee costs $62, and doesn't escalate with time, while the other one is $30 and starts to be charged after the second month. Therefore, the total cost of the card is the fixed fee plus the monthly fee multiplied by the number of months the user had the card subtracted by two, or as shown below:

[tex]C(g) = 62 + 30*(g-2)[/tex]

The correct option is C.

Match the items,
a. MN
b. AB
C. 7
d. AB

1. segment AB

2. length of segment AB

3. MN

4. KL is congruent to

Answers

Answer:

Step-by-step explanation:

1). Segment AB = [tex]\overline{AB}[/tex] (Option D)

   Segments are represented by an over-line/bar on the segment.

2). Length of segment AB = AB (Option B)

3). MN = 7 (Option C)

   Since the measure of segments MN and KL are equal from the figure attached.

4). [tex]\overline{KL}[/tex] is congruent to [tex]\overline{MN}[/tex]

   Given in the figure attached.

Answer:

1) Segment AB =d

2) Length of segment AB = b

3)MN=c

4) [tex]\widehat{KL}[/tex] is congruent to = a

Step-by-step explanation:

We are supposed to match the items

Options:

a.[tex]\widehat{MN}[/tex]

b. AB

C. 7

d. [tex]\widehat{AB}[/tex]

1) Segment AB

So, D option denotes the segment

So, 1) Segment AB =  [tex]\widehat{AB}[/tex]

2) Length of segment AB = Option b

So, Length of segment AB =AB

4) [tex]\widehat{KL}[/tex] is congruent to

So, referring the given figure we can say

[tex]\widehat{KL}[/tex] is congruent to [tex]\widehat{MN}[/tex]

So, [tex]\widehat{KL}[/tex] is congruent to option a

3)MN

Since [tex]\widehat{KL}[/tex] is congruent to [tex]\widehat{MN}[/tex](by 4)

So, KL = MN = 7

So, MN = 7

So, MN = option c

Hence

1) Segment AB =d

2) Length of segment AB = b

3)MN=c

4) [tex]\widehat{KL}[/tex] is congruent to = a

½ of the length of rope A is equal to 3/5 of the length of rope B. Rope A is 42cm longer than rope B. How long is rope A? ​

Answers

Answer: A = x^2/16 + (5 - x/4)^2 > 20.5

Hope this helped.

The five triangle congruence are sss, sas, aas, asa and hl criteria. Fully explain why aaa is not a triangle congruence criteria

Answers

Answer:

As you may know, the addition of all the interior angles of a triangle always adds up to 180°.

So if we know two angles of the triangle, A1, and A2, we can find the third angle as:

A1 + A2 + X = 180°

X = 180° - A1 - A2.

Se with only knowing two angles, we can find the third angle.

So aaa is a criteria equivalent to aa.

Now, the problem with this criteria is that also works for finding similar triangles (for example, an equilateral triangle of sides 10 and an equilateral triangle of sides 20 are similar, as the angles are the same, but are not congruent, as the length of the sides is different) and this happens because we only have information of the angles and know nothing of the sides.

Simplify the following expression.
4 - (x - 3)

Answers

-x + 7
C: your welcome

Answer:

4 - (x - 3) =  - x + 7

Step-by-step explanation:

can u pls help me with this thanks

Answers

Hey!!!

<a and <b are complementary angles.

Those angles which are exactly 90 degree are called complementary angles.

hope it helps..

Answer this, please!! Its urgent

Answers

Answer:

Hello dear,

5.102 ×10⁸km

300000000

2.4×10⁵

149600000000m

Hope it will help you

please thank

ANSWER:
1)5.102 x 10^8 km
2)300000000m/s
3)2.4 x10^5
4)149600000000
HOPE IT HELPS,,!
PLEASE MARK BRAINLIEST!!!!

95 points!
The scatter plot shows the relationship betweeen the number of hours students spend watching television and the numer of hours they spend with family each week.

What is the y-intercept of the line of best fit and what does it represent?
11.5 hours; the number of hours students spend with family in a week when they do not watch television
9.2 hours; the number of hours students watch television in a week when they do not spend time with family
9.2 hours; the number of hours students spend with family in a week when they do not watch television
11.5 hours; the number of hours students watch television in a week when they do not spend time with family

Answers

9.2 hours; the number of hours students watch television in a week when they do not spend time with family

Step-by-step explanation:

We are given,

The x-axis represents the time spent with family and the y-axis represents the time spent on watching television.

Now, y-intercept is the point where the scatter plot crosses y-axis.

From the scatter plot and and according to the options, the data point is located at x= 0 and y= 9.2.

That is, the y-intercept represents that students watched television for 9.2 hours when they do not spend time with their family.

I got 9.2 with family


There are 2200 students in a school. 52.5% of them are male. How many are female?

Answers

___________________________________

Total number of students=2200

Total percent of male=52.5%

Total percent of female=100%-52.5%

=47.5%

Total number of female= 47.5% of 2200

=47.5/100*2200

=1045

So the total number of female is 1045

hope it helps

Good luck on your assignment

________________________________

Answer:

[tex]1045[/tex]

Step-by-step explanation:

[tex]no. \: \: of \: \: students = 2200[/tex]

First let's find the percentage of female.

[tex]100\% - 52.5\% = 47.5\%[/tex]

So now let's find how many female students are there in the class

[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

1. Trevor's fitness trainer recommends that Trevor drink 8 fluid ounces
of water 8 times a day. Trevor has a water bottle that holds 1 1/4 pints
of water when filled. Today, he has filled the water bottle three times
and drank all of the water each time. Trevor claims that he drank the
total amount of water recommended by his fitness trainer. Explain
why Trevor's claim is not true. (Remember 8 ounces = 1 cup; 2 cups
1 pint)
=

Answers

Answer: Trevor drinks 3 3/4 pints against his coach's 4 pints

Step-by-step explanation:

8 ounces per day x 8 times = 64 ounces = 8 cups = 4 pints

Water bottle holds 1 1/4 pints x 3 = 3 3/4 pints.

How does the graph show that the rate of change is constant?

Answers

A graph has a constant rate of change when the graph is linear and portrays a straight line. The slope will remain constant which forms the straight line in the graph.

Answer:

Because it is a straight line

Step-by-step explanation:

If it changed there would be curves, points, corners, zig zags, since this is straight, that means the R.O.C commonly known as slope, is not changing

I hope this helps u!

Pls give brainliest i had 40 down to 1 for no reason and a thx ;)

I always thank those who give me brainliest via their profile and comments

Jasmine draws a circle with a radius of 9x². What is the area of her circle?

Answers

Answer:

Look at the attachment

An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?

Answers

Answer: -$13.47 per hour

Step-by-step explanation:

Hi, to answer this question we have to write an expression:

The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :

9.25 (36) + 8 (380/20) =  

Solving:

333+ 8 (19) =

333+152 = $485

If we divide the result by the number of hours:

485 /36 = $13.47 per hour

Feel free to ask for more if needed or if you did not understand something.  

Answer:

$13.47 per hour

:):):):):):)

37
35
Х
x =

What’s the answer?

Answers

Answer:

12

Step-by-step explanation:

use Pythagorean theorem

37^2 = 35^2 + x^2

x= ±[tex]\sqrt[2]{37^2-35^2}[/tex]

x1 = 12

x2= -12 but it is illogical as length cannot be negative

answer: x = 12

Answer: x = 12

Step-by-step explanation:

a^2 + b^2 = c^2

35^2 + b^2 = 37^2

b^2 = 1369 - 1225

b = √144 = 12

It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed? Round to nearest hundredth.

Answers

Answer:

9.3 acres per pound

Step-by-step explanation:

93/10

10/93 = .10
(acre/lb)

So, in a lb of seed, .10 (one tenths) of an acre can be planted.

How many squares make up the surface of a cube?
O A. Seven
O B. Five
O C. Six
D. Eight​

Answers

The answer to the question is C (6)

How many squares make up the surface of a cube?

O A. Seven

O B. Five

● C. Six

D. Eight

plz plz i really need this will mark bianleast
Point Z is translated right 1, down 8.
Which is the coordinate pair for the translated point Z'?




(4, –1)

(1, 4)

(1, –4)

(–8, 1)

Answers

Answer:

(1, –4)

Step-by-step explanation:

Since, Z is translated right 1 and down 8, so x- coordinate would be 1 and y-coordinate would be - 4

Hence the coordinate pair for the translated point Z' would be (1, - 4).

75% of_____ = 300
Please help me

Answers

Answer:

400

Step-by-step explanation:

75%=0.75

300/0.75 = 400

Answer:

400

Step-by-step explanation:

75/100 of x = 300

75x/100 = 300

Cross multiplying

75x = 30000

Dividing the both by 75

x = 400

if i were to save 10 dollars each 2 weeks how much will i have in 2 months

Answers

Answer:

I think the answer is 40.5

Step-by-step explanation: Because there are 4 and a half weeks in a month..... at the least. I may be wrong, just took a lucky guess. dont take my word for it.

answer: 87
because there’s 4.35 weeks in a month so 2 months would be 8.7 weeks so 8.7 weeks times 10 is 87

does anyone know how to do this ?

Answers

Step-by-step explanation:

The circumference of a wheel is 0.46π, and we simply have to multiply that by 829 which is 381.34π or 1197.41.

Answer:

see below

Step-by-step explanation:

Find the circumference

C = 2 * pi *r

C = 2(.23) * pi

C = .46pi

Since the wheel rotated 829 times, multiply the circumference by 829

829 * .46 pi

381.34 pi

If  pi = 3.14

1197.4076 meters

If using the pi button

1198.01494 meters

A pyramid with base area of 16sq cm and height of 30cm

Answers

b*h/3 is the formula to find the volume (or area whichever it is) of a pyramid  so it will be 16 times 30 divided by 3 which would get u to 480/3 which would then get u to 160 cm

What is the value of h?
The graph shows the function f(x) = (2.5) was horizontally
translated left by a value of h to get the function g(x) = (2.5)
-2.
0
2
5

Answers

Answer:

Option (1). h = -2

Step-by-step explanation:

This question is incomplete: here is the complete question.

The graph shows the function f(x) = [tex](2.5)^{x}[/tex] was horizontally shifted by a value of h to get the function g(x) = [tex](2.5)^{x-h}[/tex]. What is the value of h ?

From the graph attached,

Point (0, 1) lies on function f(x).

If the graph of function f(x) is shifted h units left horizontally, rule for the translation will be,

f(x + h) → g(x)

For 2 units shift to the left horizontally,

f(x + 2) → g(x)

[tex](2.5)^{x+2}[/tex] = [tex](2.5)^{x-h}[/tex]

By comparing both the sides,

x + 2 = x - h

h = -2

Therefore, Option (1) will be the answer.

Answer:

A -2

Step-by-step explanation:

I need help again brainiest who ever get this right

Answers

Answer:

Step-by-step explanation:

26x25x24x23x22x21x10x9=30,891,577,600

=Thirty billion, eight hundred ninety-one million, five hundred seventy-seven thousand, six hundred.

the answer was kind of in the question btw :)

help also I did some of it just not 3 and 4 and 6which is 2.5 ×__=80,1×__=32,3×__=96​

Answers

Answer:

the answer is 32

Step-by-step explanation: divide the product by the number that is being mutiplied

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