Which of the following is not equivalent to the formula d = rt?

Answers

Answer 1

Answer: The second choice ... r = dt ... is not equivalent to the formula ' d = rt ' .

Each of the other choices IS equivalent to it.

Related Questions

ΔABC is reflected across line L to form Δ ALBLCL, and intersects line L at point D. Which equation is not necessarily true?
Find the value of y when x equals -11, 5x+6y=-37
Please help and answer
What are the coordinates of point A?A. (0,-4)B. (-4,0)C. (4,0)D. (0,4)
A bird feeder 24 times using 6 cups each time. A bag of seeds holds 32 cups. How many bags of seed did he use?

There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons?

Answers

Cup Tablespoon
1 16
2 32
4 64
8 128

Answer: A

Answer:

Step-by-step explanation:

got it right on edg 2020

What is the value of x in the equation 4x+8y=40 when y=0.8

Answers

inpus 0.8 for y
4x+8(0.8)=40
4x+6.4=40
minus 6.4 both sides
4x=33.6
divie both sides by 5
x=8.4

x=8.4 when y=0.8

4x+8y=40
4x + (8x.8)= 40
4x + 6.4 = 40
4x = 33.6
x = 8.4

Depth d (in feet) of a river can be modeled by the equation d=−0.25t2+1.7t+3.5, where 0≤t≤7 and t is the time (in hours) after a heavy rain begins. When is the river 6 feet deep?

Answers

Answer:

The river is 6 feet at two times, 2.15 hours after the rain and 4.65 hours after the rain.

Step-by-step explanation:

We are given the following in the question:

$d=-0.25t^2+1.7t+3.5$

$0\leq t\leq 7$

where, d is the depth of river in feet and t is time in hours after a heavy rain.

We have to find the number of hours for which the depth of river is 6 feet.

Putting d = 6 in the equation, we get,

$6=-0.25t^2+1.7t+3.5\n\Rightarrow +0.25t^2-1.7t+2.5 = 0\n\text{Using quadratic formula}\n\n\Rightarrow t = (1.7\pm √((-1.7)^2-4(0.25)(2.5)))/(2(0.25))\n\nt\approx 4.65, 2.15$

Thus, the river is 6 feet at two times, 2.115 hours after the rain and 4.65 hours after the rain.

The attached image shows the graph.

15. Edgar Anderson earns $200 a week plus a 15% commission on all sales over $1,000. If Mr. Anderson's sales for one week are $2,500, what is his gross pay for that week?A. $350
B. $525
C. $575
D. $425

16. Which one of the following statements expresses a true proportion?
A. 14 : 6 = 28 : 18
B. 42 : 7 = 6 : 2
C. 2 : 3 = 3 : 2
D. 3 : 5 = 12 : 20

Answers

15.

2500 X 15 = 37500
37500 ÷ 100 = 375
375 + 200 = 575
The answer is C.

16.
The easiest way to answer this question is by going through each answer one by one:

14:6 = 28:18
28 ÷ 14 = 2
18 ÷ 6 = 3
Since both numbers were multiplied by different numbers, we can establish that this is not a true proportion.

42:7 = 6:2
42 ÷ 7 = 6
7 ÷ 7 = 1
42:7 = 6:1
By dividing both numbers by the same number, we can establish that the answer is wrong.

2:3 = 3:2
This is obviously wrong. That is because, in ratios, the order counts. So the first 3 is more than the first 2, therefore the second number on the other side of the ratio should be more than the first.

3:5 = 12:20
12 ÷ 3 = 4
20 ÷ 5 = 4
Since both numbers were multiplied by the same number, this is a true proportion.

The answer is D.

(4,?) is on the line 8x – 3y = -10. Find the other half of the coordinate

Answers

(4, ?) is on 8x - 3y = -10

The ? is the missing y coordinate. (4, y) satisfies 8x - 3y = -10

8x - 3y = -10. From point (4, y), we would replace x = 4 in the equation below. y remains the unknown.

8*4 - 3y = -10

32 - 3y = -10

-3y = -10 - 32

-3y = - 42

y = -42/-3

y = 14

We need to plug 4 in place of x into the equation of the line and find the y-value.

8x - 3y = -10
8(4) - 3y = -10
32 - 3y = -10

Add 3y on both sides.

32 = -10 + 3y

Add 10 on both sides.

42 = 3y

Divide 3 on both sides.

y = 14

The point is (4, 14).

A ladder 39 ft long leans against a vertical wall. If the lower end is being moved away from the wall at the rate of 4 ft/sec, how fast is the height of the top changing (this will be a negative rate) when the lower end is 15 feet from the wall?

Answers

Answer:

-5/3 ft/sec

Step-by-step explanation:

In this question, we are asked to calculate the rate at which the height of the top of a ladder is changing given that the lower end is being dragged at a particular rate.

Please check attachment for complete solution and step by step explanation.

Answer:

The rate of change of height, dy / dt = -1.667 ft/s

Step-by-step explanation:

Solution:-

- The length of the ladder, L = 39 ft

- The foot of the ladder is moved away from wall at a rate, dx/dt = 4ft/s

Find:-

how fast is the height of the top changing (this will be a negative rate) when the lower end is 15 feet from the wall?

Solution:-

- We will first draw a right angle triangle, with vertical height of the ladder to be"y" and distance of the foot of the ladder and the wall to be "x".

- Then express the length "L" in terms of x and y using pythagorean theorem:

L^2 = x^2 + y^2

y^2 = 39^2 - x^2

- Taking height of the ladder as the dependent variable and distance of the foot of the ladder from wall as independent variable.

- Formulate a differential equation from the given expression above in terms of "dy/dt" and "dx/dt". Perform implicit differential of the computed expression "d/dt":

2y*dy/dt = -2x*dx/dt

dy / dt = -(x/y)*dx/dt

- Where, dy / dt : The change in height of the ladder.

- The height of the ladder at x = 15 ft is:

$y = √(39^2 - x^2) = √(39^2 - 15^2) = 36$

- Then evaluate dy/dt:

dy / dt = -(15/36)*4

dy / dt = -1.667 ft/s

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