A stone falls from a train trestle. The stone's height in meters above the ground is modeled by the function h(t)=−4.9t2+155 where t is time in seconds. To the nearest tenth of a second, how long does it take the stone to hit the ground? State what strategy you will use to answer the question, and then find the answer.

Answers

Answer 1

Answer:

5.6s

Step-by-step explanation:

Given the height reached by the stone modeled by the equation

h(t)=−4.9t2+155 where t is time in seconds.

The stone hits the ground at h(t) = 0

Substitute

0 = -4.9t²+155

4.9t² = 155

t² = 155/4.9

t² = 31.63

t = ±√31.63

t = 5.62seconds

Hence it will take 5.6s to reach the ground(to the nearest tenth)


Related Questions

2/5 of 146 as a decimals

Answers

I think it’s 58.4 I’m not sure if my answer is completely right . Just let me know if I’m right . Hope this can help

a right circular cylinder with a radius of 2.3cm and a height of 1.4cm has a total surface area of ​

Answers

Answer:

i think 6.44

Step-by-step explanation:

first the diameter is 4.6 then multiply the 4.6 with 1.4 and u obtaine 6.44 (note:iam not sure iam still in seven grade)

On a triangle, one side measures 4x2−2x and another side measures 2x2 −5x+1. If the perimeter of the triangle is 9x2 + x+6, what is the measure of the third side of the triangle? (Your answer will be an expression)

Answers

Answer:

3x² + 8x + 5

Step-by-step explanation:

Subtract the sum of the 2 given sides from the perimeter, that is

9x² + x + 6 - (4x² - 2x + 2x² - 5x + 1)

= 9x² + x + 6 - (6x² - 7x + 1 ) ← distribute parenthesis by - 1

= 9x² + x + 6 - 6x² + 7x - 1 ← collect like terms

= 9x² + 8x + 5

I need a lot of heeelp pleaseee

Answers

Answer:

i think its mn

Step-by-step explanation:

its the 2 close to qs

plz i need help hurry
and how do you mark brainliest

Answers

Answer:7 times 3.14=21.98

Step-by-step explanation:click the crown at the bottom of my answer

Answer:

43.98

Step-by-step explanation:

arc length =2* pie * r

Which of the following is the equation for the graph shown?

Answers

Answer:

y

+

0

=

0

(

x

+

5

)

Step-by-step explanation:

There are 6 balls. Half of the balls are blue. One ball is red. The rest are green. Write the fraction for the green balls.

Answers

2/6 of the balls are green or 1/3

Answer:

1/3 (Minimized) 2/6

Step-by-step explanation:

The width of a rectangle is 7 inches and the length is 13 longer than the width. Find the perimeter of the rectangle. (PLEASE ANSWER QUICKLY!!!)

Answers

The perimeter is 54 because the length must be 20. (20+20) + (7+7) = 54

A fish is swimming at a constant rate toward the ocean floor. The equation
y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of the fish, given this equation?

Answers

Answer: Y = 21

Step-by-step explanation:

Convert the following fraction to a decimal.
23/99

Answers

Answer:

23/99 as a decimal is 0.23232323232323.

Step-by-step explanation:

In fractions, the numerator is the number above the line and the denominator is the number below.

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

The selling price of an item is $600. It is marked down by 30%, but this sale price is still marked up
from the cost of $350. Find the markup from cost to sale price.
The markup is $ (Round to the nearest dollar as needed.)

Answers

Answer:

7000

Step-by-step explanation:

divide 600 and 30 then multiply that answer by 350

Answer:

Correct answer is 70 trust me

Step-by-step explanation:

*
Which graph represents the function f(x) =
c) = (3)
ty
3
ty
3
ty
3
ty
3
3
2
2.
2
2
1
1.21
2 3 4
2 3 4
2 3 4
2 3 4
O
o

Answers

The equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)

The equation of the graph is represented as:

[tex]f(x) = (\frac{3}{2})^{-x}[/tex]

See attachment for the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex]

From the attached graph, the curve passes through points (0,1) and (2,0.5).

Hence, the equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)

Read more about graphs and functions at:

https://brainly.com/question/3939432

Need this answer asap

Answers

Answer:

Its sideways i cant see the question

Step-by-step explanation:

Yep here we go again:

In the diagram below, the red angle angle YAK and the blue angle angle OAT are both right angles. If angle YAO=23 then what is the measure of angle KAT

If you don't know the answer or not sure, please don't answer it!
Whoever answers it correctly gets brainliest!!

Answers

Answer:

23 degrees

Step-by-step explanation:

90+23-90=23

9514 1404 393

Answer:

  23°

Step-by-step explanation:

Both angles YAO and KAT are complementary to angle OAK, so are congruent.

  ∠YAO = ∠KAT = 23°

PLEASE HELP WITH THIS, IMAGE ATTACHED.

Answers

Answer:

A≈837.77 since it's only one decimal place A≈837.8

Step-by-step explanation:

Formula: A = πr²

** PLEASE ANSWER I’L GOVE YOU BRAINLYLIST**

Answers

Penelope eats 4 chocolates per day, because in one day, 20 chocolates are in the box. Then, after 2 more days, 8 chocolates are eaten. That means, if she eats an even amount of chocolates, she eats 4 chocolates per day. To check this pattern, on the fourth day, there are 8 chocolates left. 12 - 8 = 4, and the pattern would continue. On the fifth day, 4 chocolates would be left, and on the sixth day, 0 chocolates would be left.

Plz help with all 3 questions i will give Brainliest

Answers

Answer:

Step-by-step explanation:

8) entire cost of meal = m

m = 14.68 + 14.68

  = 29.36

Solution $29.36

9) Let Elijah's height  = h

h + 6 = 48

      h = 48 - 6

  Solution 42 inches

10)     x - 15 = 20

              x = 20 + 15

Solution 35 ounces

broooooooo help me wit this plzz man

Answers

Answer:

Ok so first one is 4/9x 2nd is (10 11/15) (x) 3rd is 9/20 and the 4th is 3 3/44

Step-by-step explanation:

Hope this helps! i learned this last semester :)

Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.

Answers

Answer:

Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one

Step-by-step explanation:

Answer:

Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.

B

Step-by-step explanation:

a=10t+0 find the y intercept

Answers

Answer:

0

Step-by-step explanation:

The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!

Amanda has $56.10 in her bank account in March. In May she has 4 times as much money in her account than she did in March. In June she adds $75.22 to her account. How much money does Amanda have in her account in June?

Answers

Answer:

$299.62

Step-by-step explanation:

Amanda has $56.10 in his bank account in march

In May he has 4 times this money

= 56.10×4

= 224.4

In June she add $75.22 to the money

= 224.4 + 75.22

= 299.62

Hence in June Amanda has $299.62 in her account


Write the equation in slope-intercept form.
y−1=45(x+5)

Answers

Answer:

y=45x+226

Step-by-step explanation:

hope that's what you're looking for

have a nice day!!!

Answer:

Step-by-step explanation:

Slope intercept form of a line is y=mx+b so we need to solve for y.

y-1=45(x+5) first expand right side

y-1=45x+225 now add 1 to both sides.

y=45x+226




hi guys













i need help only 19​

Answers

y = 2/3x + 11/3

slope: (y2-y1)/(x2-x1) = (5-3)/(2- -1) = 2/3

point intercept form: (y-y1) = m (x-x1)
(y-3) = 2/3 (x+1)

solve for y
y-3 = 2/3x + 2/3
y = 2/3x + 11/3

x
-3
-2
-1
0
1
2
3
3
4.95
8.1675 13.476375
f(x) 0.6678... 1.1019... 1.8181...
g(x) 0.125 0.25
0.5
1
2
4
8
0.25
0.5
0.75
1
1.25
1.5
1.75
h(x)
k(x)
64
16
4
0
0.25
0.0625
0.0156
O A. h(x)
B. f(x)
OC. k(x)
D. g(x)

Answers

k(×)×95=-0.75 sume k+95=***

g(x) is the function from the table which gives values that could come from the exponential function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the function from the table which gives values that could come from the exponential function.

The exponential function is a mathematical function denoted by .

As we observe the g(x) function.

When x =1, g(x)=2

x=2, g(x)=4

x=3, g(x)=8

g(x)=2ˣ is the required function which is in exponential form

Hence, g(x) is the function from the table which gives values that could come from the exponential function.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ7

Explain the first steps to factoring when the leading coefficient is 1.

a) List the factors of a that add up to b.
b) Split the c term to factor by grouping.
c) Find the factors of c that add up to b.
d) Multiply b and c, then find the factors.

Answers

Answer:

In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.

A medical provider is doing a study to determine the average time spent waiting before an appointment. The current average wait time is 34 minutes, which is 15% shorter than the average was when the study started. What was the average wait time then?

Answers

Answer:

39.1 minutes

Step-by-step explanation:

Given that:

Current wait time = 34 minutes

Current wait time is 15% shorter than average wait time when study started.

Average wait time when study started :

15% of current wait time :

0.15 * 34

= 5.1 minutes

Average wait time when study started :

34 minutes + 5.1 minutes

= 39.1 minutes

4 = y - 4
3 = 9 - y
1 = 8 - y
2 = 9 - y
4 = y - 3

Answers

Answer: a a a a. Aa

E s. Ss s

Step-by-step explanation:

s. S s s s. S s s s s

In the equation 5x - 4 = 71, what is the constant

Answers

Answer:

I believe the Constant is 4, because the constant is supposed to be a stand alone number.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

a constant is a number that doesn't change

Find the measure of the arc or angle indicated.

Answers

Answer: The correct is 114

Step-by-step explanation: Hope this helps

what is the hcm of 18 and 45

Answers

Answer:

90

Step-by-step explanation:

90 Or, we can say that it is a method of breaking down the given integer into its prime factors. Therefore, the HCF of 18 and 45 is 9. Therefore, the HCF of 18 and 45 is 90.

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