A basketball is thrown upward from a height of 1.8 m at a velocity of 12 m/s. How long until it reaches the ground?

Recall: h(t)=-4.9t^2-v_0 t+h_0, where v_0 is initial velocity and h_0 is initial height.
can anyone help?!

Answers

Answer 1

Answer:

0.14secs

Step-by-step explanation:

Given the equation that models the height expressed as;

h(t)=-4.9t^2-v_0 t+h_0

Given v0 = 12m/s

h0 = 1.8m

The equation becomes

h(t)=-4.9t^2-12t+1.8

The height of the ball on the ground level is zero

Substituting into the equation

0 = -4.9t^2-12t+1.8

Multiply through by -10

49t²+120t-18 = 0

Factorize and get t:

t = -120±√120²-4(49)(-18)/2(49)

t = -120±√14400+ 3528/98

t = -120±√17928/98

t = -120±133.89/98

t = 13.89/98

t = 0.14secs

Hence it takes 0.14secs until it reaches the ground


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Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not? Yes, because AB and CD are each Two-fifths the lengths MN and QP. Yes, because sides AB and CD are parallel to sides MN and QP. No, because AB is Two-fifths the length MN but CD is One-third the length QP. No, because sides AB and CD have different slopes from sides MN and QP.

Answers

C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.

Answer:

C. No, because AB is 2/5 the length MN but CD is 1/3 the length QP

Step-by-step explanation:

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A movie theater sold 480
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many boxes of gummy worms will
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480 x 12= 5,760
Answer: 5,760 boxes

A tutoring agency charges $20 for study materials, plus $40 an hour for tutoring. Which function can be used to find the total cost T(h) hours of tutoring?

Answers

Answer:

T(h)=40h+20

Step-by-step explanation:

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Answers

Answer:

y=2/5x+3

Step-by-step explanation:

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Over the period of a year, Sam's net worth increased. Which of the following could be true?
a. Sam's assets and liabilities decreased by the same amount.
b. Sam's assets and liabilities increased by the same amount.
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d. Sam's assets decreased by more than his liabilities.
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A
B
D
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Answers

B I only understood that one the others not so much, tell me if this doesn’t help

Convert:

5 m = ________mm​

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

[tex]h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}[/tex]

Step-by-step explanation:

Given the expression

[tex]S=\pi \:r\left(h+k\right)\:[/tex]

Let us solve for h

[tex]S=\pi \:r\left(h+k\right)\:[/tex]

Flip the equation

[tex]\pi r\left(h+k\right)\:=\:S[/tex]

Apply distributive law:  [tex]a\left(b+c\right)=ab+ac[/tex]

[tex]\pi hr+\pi kr=S[/tex]      

Add -πkr to both sides

[tex]\pi hr+\pi kr+\left(-\pi kr\right)=S+\left(-\pi kr\right)[/tex]

[tex]\pi hr\:=\:-\pi kr\:+\:S[/tex]

Divide both sides by πr

[tex]\pi hr\:/\:\pi r\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}[/tex]

[tex]h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}[/tex]

Therefore, we conclude that:

[tex]h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}[/tex]

HELP ME A cheetah ran 75 meters at a speed of 25 meters per second. How long was the cheetah running?
3 seconds
5 seconds
30 seconds
50 seconds

Answers

3 seconds is the correct answer :)

Answer:

3 seconds

Step-by-step explanation:

75 divide 25 is equal 3

So Cheetah ran 3 second by running.

what is 8 divided by 906 i cant figure out the answer sadly

Answers

Answer:

0.00883002207 or 4/453 in a fraction

Step-by-step explanation:

Try rounding the decimal or

just put it has a fraction

Dilacey takes out a loan from the bank that charges a 10% interest rate. After 18 months,
she accrues $420 in simple interest. How much was the loan that Dilacey took out?

Answers

Answer:

Dilacey took a loan of $2800

Step-by-step explanation:

P=(Simple Interest×100)/R×T

P=$420×100/10×1½

P=$42000/15

P=$2800

8. Translate triangle ABC 3 units right and 2 units down.
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A. (–4, –2)
B. (0, –2)
C. (1, –1)
D. (1, 3)

Answers

Answer:

First get the point of A which is (-2,1). Then 3 units to the right means adding 3 to x value so -2+3=1, x will be 1. Then going 2 units down means the y value needs to subtract 2. 1-2=-1

Final A will then be (1,-1)

I NEED HELP WITH MATH PLEASE
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t = 60°
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(4xt7) (2x+5) find x

Answers

Answer:

8x^2+34x+35

Step-by-step explanation:

My head knows

Step-by-step explanation:

(4x+7)(2x+5)

We would have to multiply each term in the first bracket by the term in the second bracket.

4x(2x+5)+7(2x+5)

So now we multiply 4x by 2x and 5

8x+10x

8x+10x+7(2x+5)

And then we multiply 7 by the 2x and the 5

14x+35

8x+10x+14x+35

So now we proceed to add since like terms have already been combined

18x+14x+35

32x+35

Select the operation that makes the statement true 24__3 over 4=18

Answers

Answer:

24 times 3 over 4

Step-by-step explanation:

Are you trying to solve

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I NEED HELP WITH MATH HOMEWORK PLEASE.

Answers

Answer:

Step-by-step explanation:

we know  A + B + C = 180 for a triangle

isosceles have the same angles on the base sides

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A + A + C = 180

2A+C=180

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Answers

Answer:

y = 5x - 7

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Question 11 Batches of a chemical contain random amounts of lead with a mean value of 6.0 mg and a standard deviation of 2.0 mg. If 50 batches are prepared, the probability that their average amount of lead is greater than 6.5 mg is:

Answers

Answer:

0.0384

Step-by-step explanation:

Given that:

Mean (m) = 6.0

Standard deviation (s) = 2.0

Sample size (n) = 50

Probability that average amount is greater than 6.5

P(x > 6.5)

Obtain the Zscore using the relation :

Zscore = (x - m) / (s / sqrt(n))

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4.2%

Step-by-step explanation:

n=50, X=6.0, δ=2.0

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Answers

Answer:

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Step-by-step explanation:

The two strokes on each side of the triangle show that the triangle is an isosceles triangle and ∠KJL and ∠KLJ are equal. The sum of angles in a triangle is 180°.

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∠KJL = 108° ÷ 2

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Answers

Answer:

The next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

Step-by-step explanation:

We need to find the next three terms in the sequence 1, 7, 13, 19, ...

First we need to find the difference between the terms

If we observe:

First term ; 1

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Third term is: 7+6 = 13

Fourth term is: 13+6 = 19

So adding 6 to previous term we can find the next term as observed by the pattern

Fifth term will be: 19+6 = 25

Sixth term will be: 25+6 = 31

Seventh term will be: 31+6 = 37

So, the next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

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Answers

Answer:

b

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

17% of 40 is 6.8

Step-by-step explanation:

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Hope this helps, if it did would you mind marking me the brianliest and peace and love!!!!!!!!!!!!!

Clara wants to cover the top of your jewelry box the top of the box is a rectangle with a length of 9.4 cm and a width of 8.3 cm what is the total area she wants to cover

Answers

Answer:

Step-by-step explanation:

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is it that you don't have a calculator or that you didn't know to multiply the two numbers?   ( most computers have built in calculators )  :/

A pair of jeans in a store cost $70 in sale. This price is given with 25% discount. Find original price of jeans

Answers

$93 because if 23.3 x 4 is 93 and you take away one of those you get 70

Ssimpily the expression

Answers

[tex]( {6}^{ \frac{1}{4} } ) {}^{4} [/tex]

[tex] {6}^{ \frac{1}{4} \times 4 } [/tex]

[tex] {6}^{1} [/tex]

[tex]6[/tex]

__________________________________________

D. 6

is the correct answer.

HELP ME PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME PLEASE HELP ​

Answers

Answer:

Leaves from the vine

Falling so slow

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Drifting in the foam

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Come marching home

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Comes marching home

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Answers

Answer:

always

Step-by-step explanation:

For this hypothesis test:

The Decision rule: To reject the null hypothesis [tex]H_o[/tex] if the p-value is lesser than < the significance level.

At the level of significance 0.01, the null hypothesis is rejected.

So, p-value < 0.01 and this typically shows that p-value is < 0.05.

Therefore, it will always be rejected at ∝ = 0.05

6.
What number equals 100 when it is squared?
HELPPPPP 6th GRADE MATH I WILL MARK YOU BRAINLIEST

Answers

Let's call our number x.

So we can setup the equation x² = 100.

To solve this equation, we square root both sides.

So we have x = ±10.

Always use plus or minus when square rooting both sides

of an equation so our answer is not only 10, it's also -10.

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