1. A ride descends from 100 meters straight down to 0 meters. The distance from the ground at any time is represented by the graph. The slope of the line is -4/5 between 0 and 125 seconds. How far did the ride descend in the time indicated by the marked vertical distance on the graph? (Orange line)






2. A car travels at a rate of 65 mph on a flat highway. How long did it take the car to get from a distance of 123 miles to 318 miles on its journey? (purple line)

1. A Ride Descends From 100 Meters Straight Down To 0 Meters. The Distance From The Ground At Any Time
1. A Ride Descends From 100 Meters Straight Down To 0 Meters. The Distance From The Ground At Any Time

Answers

Answer 1

9514 1404 393

Answer:

12 m3 hours

Step-by-step explanation:

1.

The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...

  (change in distance)/(15 s) = -4/5 m/s

  change in distance = (-4/5 m/s)(15 s) = -12 m

The ride descended 12 meters in the time indicated on the graph.

__

2.

Again, the slope is "rise"/"run".

  65 mi/h = (318 mi -123 mi)/(travel time)

  travel time = (195 mi)/(65 mi/h) = 3 h

The car took 3 hours to get from 123 miles to 318 miles.


Related Questions

12x-4=10x-10+30 find value of x

Answers

Answer:

12

Step-by-step explanation:

12x - 4 = 10x + 20

2x - 4 = 20

2x = 24

x = 12

U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above

Answers

Answer:

34

Step-by-step explanation:

40 questions times 0.85 equals 34

Determine whether the ratios 8:7 and 15:14 are equivalent

Answers

Answer:

They are not

Step-by-step explanation:

    We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:

15:14

\/

7.5:7 ≠ 8:7

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Lillian misses 10% of the free throws she attempts in a season. How many total free
throws did she attempt if she missed 51
help fast

Answers

Answer:

510

Step-by-step explanation:

10/100 = 51

10*10/100 = 51*10

100/100 = 510

Can anyone help me if you get it right i'll give 30!

Answers

Solution:

[tex]LHS \\ = 8 + 7 - {2}^{2} \\ = 8 + 7 - 4 \\ = 15 - 4 \\ = 11[/tex]

[tex]RHS \\ = {3}^{2} + 2 \\ = 9 + 2 \\ 11[/tex]

So, LHS = RHS

Answer:

=

Hope it helps.

Do comment if you have any query.

Answer:

Below!

Step-by-step explanation:

Let's try the 'equal' sign for this equation.

8 + 7 - 2² = 3² + 2

Remember, when it comes to simplifying, exponents come first. This means that we need to simplify the exponents first.

=> 8 + 7 - (2 x 2) = 9 + 2=> 15 - 4 = 9 + 2=> 11 = 11

Since the LHS and the RHS are equal, the 'equal' sign will fit into the equation. Hence, this is proven as true. Let's try the 'not equal' sign.

=> 8 + 7 - 2² ≠ 3² + 2=> 15 - 4 ≠ 9 + 2=> 11 ≠ 11

Now, this is a definite false. The 'not equal' sign is used when two values are not equal to each other, however, in this situation, 11 does equal 11. In between them is a 'not equal' sign. Hence, this is proven false.

We can conclude that the sign you are looking for is an 'equal' sign.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.073t,
where
m(t)
is measured in grams. After how many days is there only 5 g remaining?

Answers

15 days

Step-by-step explanation:

The half-life equation is given as

[tex]m(t) = m(0)e^{-0.073t}[/tex] (1)

where m(0) is the initial mass of radioactive iodine at t = 0. To solve for the time t, let's put the exponential part on the left-hand side:

[tex]e^{-0.073t} = \dfrac{m(t)}{m(0)}[/tex]

Taking the natural logarithm of both sides to get

[tex]\ln{e^{-0.073t}} = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex] (2)

Recall the following properties of logarithms:

[tex]\ln{A}^b = b\ln{A}[/tex]

[tex]\ln{e} = 1[/tex]

We can rewrite Eqn(2) as

[tex]-0.073t = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex]

Solving for t, we get

[tex]t = -\dfrac{1}{0.073}\ln\left[\dfrac{m(t)}{m(0)}\right][/tex]

Since m(0) = 15 gm and m(t) = 5 gm, then the amount of time that elapses to reduce the mass down to 5 gm is

[tex]t = -\dfrac{1}{0.073}\ln\left(\dfrac{5\:\text{g}}{15\:\text{g}}\right)[/tex]

[tex]\:\:\:\:\:= 15\:\text{days}[/tex]

Andrew made a list of chores he needed to complete before his father comes home from work. On the chart, he showed the time it would take him to complete each chore.

If Andrew’s father is expected home at 6:00 p.m., what is the latest time Andrew could begin his chores?



Use the Hint to view the conversion chart.

Answers

Answer: the answer is 3:20pm!

Step-by-step explanation:

i got the question correct just now!

Answer:

3;20

Step-by-step explanation:

Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14

Answers

x-intercepts (14/3,0)
y-intercepts (0,7)

Answer:

X-intercept: [tex](\frac{14}{3}, 0)[/tex].

Y-intercept: (0, 7) ⇒ Option B.

Step-by-step explanation:

I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.  

X-intercept:

The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0).  The x-intercept is the value of x when y = 0.

Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:

3x + 2y = 14

3x + 2(0) = 14

3x + 0 = 14

3x = 14

Divide both sides by 3 to solve for x:

[tex]\frac{3x}{3} = \frac{14}{3}[/tex]

[tex]x = \frac{14}{3}[/tex]

Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex].   None of the given option matches the value of the x-intercept.

Y-intercept:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.

Set x = 0, and substitute into the given equation.

3x + 2y = 14

3(0) + 2y = 14

0 + 2y = 14

2y = 14

Divide both sides by 2 to solve for y:

[tex]\frac{2y}{2} = \frac{14}{2}[/tex]

y = 7

Therefore, the y-intercept is (0, 7), which matches Option B.

Cómo se mide la velocidad

Answers

Answer:

d wound be the only answer I think

it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?


Answers

Interesting question. Does that mean near the end of humanity?

Solution 1:

10^10 = 1,000,000,000

10^12 = 100,000,000,000

100,000,000,000/1,000,000,000 = 100 trees per person

Solution 2:

10^12 / 10^10  ---  10^10 / 10^10

10^2/1 = 10^2 = 100 trees per person

Please help and give real answers it would be much appreciated

Answers

Answer:

x = 8, x = 10

Step-by-step explanation:

[tex]\sqrt{4x - 31}[/tex] = x - 7 ( square both sides )

4x - 31 = (x - 7)² ← expand using FOIL

4x - 31 = x² - 14x + 49 ( sub 4x - 31 from both sides )

0 = x² - 18x + 80 ← in standard form

0 = (x - 8)(x - 10) ← in factored form

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x - 10 = 0 ⇒ x = 10

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = 8

left side = [tex]\sqrt{4(8)-31 }[/tex] = [tex]\sqrt{32-31}[/tex] = [tex]\sqrt{1}[/tex] = 1

right side = 8 - 7 = 1

Then x = 8 is a solution

x = 10

left side = [tex]\sqrt{4(10)-31}[/tex] = [tex]\sqrt{40-31}[/tex] = [tex]\sqrt{9}[/tex] = 3

right side = 10 - 7 = 3

Then x = 10 is a solution

How do I do i’m not sure

Answers

[tex](a)\\\\m=6.1\times 10^{-5},~~ t=1.7 \times 10^{-6} \\G = \sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{6.1\times 10^{-5}}{\left(1.7 \times 10^{-6}\right)^2} } ~=4590\\\\\\(b)\\\\m=6.1\times 10^{-5}(1+ 8\%) = 6.1\times 10^{-5}(1+0.08) = 0.0000648\\\\t=1.7\times 10^{-6}(1+ 5\%)= 1.7\times 10^{-6}(1+0.05) =0.000001785\\\\\\G=\sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{0.0000648}{(0.000001785)^2}}=4510[/tex]

Find the simplified product. 5/n+1 times n+1/n+3

Answers

[tex]\left(\dfrac{5}{n+1}\right) \left( \dfrac{n+1}{n+3} \right)\\\\\\=\dfrac{5(n+1)}{(n+1)(n+3)} \\\\\\=\dfrac{5}{n+3}[/tex]

work out the value of x trigonometry

Answers

Check the picture below.

An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?
$36
$52
$76
$98

Answers

Answer:

$76.

Step-by-step explanation:

The integers set included in the interval -45 x <3 is {-4,-3,-2,-1,0,1,2,3}.
True or False

Answers

Answer:

False

Step-by-step explanation:

-45x < 3

-x <  3/45

-x <  1/15                  Multiply by -1 because x is negative and remember to

                                 change all parts to its opposite.

Therefore  x  >  -1/15      

Determine the relationship between The two triangles on whether or not they can be proven to be congruent

Answers

Answer:

ASA congruence

Step-by-step explanation:

here two angles and in between side are equal for these two triangles

A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million three hundred thirty four thousand four hundred plus y squared over forty three million nine hundred fifty six thousand nine hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?

6,880 km
6,630 km
510 km
260 km

Answers

An elliptical of the satellite in the field of astrodynamics is known as a

Kepler orbit.

The distance between the satellite and the Earth is; 510 km.

Reasons:

The function that represents the elliptical orbit of the satellite is presented

as follows;

[tex]\dfrac{x^2}{47,334,400} + \dfrac{y^2}{43,956,900} = 1[/tex]

The radius of the Earth, R = 6,370 km.

The equation of an ellipse is presented as follows;

[tex]\mathbf{\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2}} = 1[/tex]

Where, in a horizontal ellipse;

a = The major axis (the longer axis), which gives the maximum distance

between the satellite and Earth.

b = The minor axis (the shorter axis)

By comparison, we get;

a² = 47,334,400 km²

Therefore;

a = √(47,334,400 km²) = 6,880 km.

The distance between the satellite and the surface of the Earth, d, is given

as follows;

d = a - R

Which gives;

d = 6,880 km - 6,370 km = 510 km

Distance between the satellite and the surface of the Earth, d = 510 km.

Learn more here:

https://brainly.com/question/13999216

Answer:510 KM

Step-by-step explanation:

B. DIRECTION: Read and analyze each problem. Give the best answer you can give in order to solve the problem



1. what is asked in the problem?____________________


2. What operation are you going to use to slove the problem?________


3. Show your solution___________________​

Answers

Answer:

1: How much longer did he run than walk.

2: Subtraction

3: 1/8 hour

Step-by-step explanation:

1: The last sentence says what is being asked.

2: We want to see how much longer something is so it is subtraction.

3: 3/4 = 6/8    7/8 - 6/8 = 1/8

A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?

Answers

Answer: Each friend needs to pay $10.48

Calculate the average of these values: 38, 48, 58, 68?​

Answers

Answer:

53 is the average value.

Step-by-step explanation:

To find the average, or mean of multiple values you first add them all up:

38+48+58+68=212

Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).

Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.

I hope that my answer has helped you, have a great day, ask any questions you have below.

Please help! Grade 7 math

Answers

Answer:

6 apple pies

Step-by-step explanation:

(A) use the Pythagorean theorean to determine the length of the unknown side of the triangle

Answers

Answer:

a. = 36km

b. Perimeter = 108km

c. Area = 486km^2

Step-by-step explanation:

Pythagoras theorem

a^2 + b^2 = c^2

27^2 + b^2 = 45^2

b^2 = 45^2 - 27^2

b^2 = 1296

b = [tex]\sqrt{1296}[/tex]

b = 36km

Perimeter

a + b + c

27 + 36 + 45 = 108

Perimeter = 108km

Area = [tex]\frac{ab}{2}[/tex]

Area = [tex]\frac{27 * 36}{2}[/tex]

Area = [tex]\frac{972}{2}[/tex]

Area = 486km^2

3) ) Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is increasing in value? ​

Answers

Answer:

Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...

Step-by-step explanation:

10) For the holidays, Judy wants to spray fake snow around
the perimeter of her front store window and along both
diagonals. How many feet of snow will she be spraying?
8 feet
15 feet

Answers

Answer:i dont know sorry

Step-by-step explanation:

2. which of the following shows the cube of a binomial?​

Answers

Answer:

Socratic app

Step-by-step explanation:

it will help you

Is the following relation a function?
X. Y
-1. -2.
2. 3
3. 1
6. -2

Answers

Answer:

Step-by-step explanation:

x y

−1 −2

2 3

3 1

6 −2

Answer:

no

Step-by-step explanation:

6 and -2 is not a function

trevin puts 8 gallon of gas

Answers

Answer:

good for trevin?

Step-by-step explanation:

we'll need more to go on haha

at does the point (2, 1.5) represent in this context?

Answers

In what context? Do you mean calculus If you are talking about graphing on a graph plane it would be the two accelerates on the x axis so (left or right) and then the 1.5 accelerates on the y axis so 1.5 on the y axis would be one and halfway to the 2 mark on the y axis so in the middle of 1 to 2 on the y axis the y axis goes (up and down)

how many prime numbers are multiples of 8​

Answers

There are no prime numbers are multiples of 8​. All the multiples of 8 are divided by 2.

What is a prime number?

Prime numbers are whole numbers larger than one with only one element the number itself. Prime numbers can only be divided by the number 1 or by themselves.

All the terms that come in the table of 8 are multiples of 8.

8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are the multiples of 8. There are no prime numbers are multiples of 8​.

Hence there is no prime numbers multiples of 8​.

To learn more about the prime number refer to the link;

https://brainly.com/question/9315685

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