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frez [133]
3 years ago
12

A ball is thrown from the top of a 50-ft building with an upward velocity of 24 ft/s. When will it reach its maximum height? How

far above the ground will it be?
Mathematics
1 answer:
svp [43]3 years ago
8 0
If you times it the answer is going to be 1,200 
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Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
baherus [9]

Answer:

-6mph

Step-by-step explanation:

45 is 3/4hour so -8 times 3/4= -24/4=-6mph

7 0
3 years ago
What is the distance between the points (-7, 5) and (-2, -7)
harkovskaia [24]

Answer:

The distance between those points is 13.

Step-by-step explanation:

1.    (x2-x1) = (-2 - -7) = 5

2.   (y2-y1) = (-7 - 5) = -12

3.   (5)2 + (-12)2 = 25 + 144 = 169

4.   √169 = 13

5.   13

7 0
3 years ago
What number is 37 1/2% of 32?
Serggg [28]
37.5% of 32 is 12

if you move the decimal point in the percentage 2 places to the left you will get a number you can multiply with 

so 0.375 x 32 = 12


6 0
3 years ago
Which number should be added to both sides of the equation to complete the square x^2-10x=7
mixer [17]

Answer:

  25

Step-by-step explanation:

The number that needs to be added is the square of half the x-coefficient:

  (-10/2)^2 = 25

_____

Adding that gives ...

  (x -5)^2 = 32

  x = 5 ± 4√2

5 0
3 years ago
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
Vesna [10]

Question is Incomplete; Complete question is given below;

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

a. The independent variable, the input, is the variable d, representing distance.

b. The distance traveled depends on the amount of time Marlene rides her bike.

c. The initial value of the scenario is 16 miles per hour.

d. The equation t = d + 16 represents the scenario.

e. The function f(t) = 16t represents the scenario.

Answer:

OPTION (b) and (e) are the true statements.

Step-by-step explanation:

Given:

t=> time in hours that she rides

d=>  distance she rides

We have to find the statements that are true of the scenario.

Solution:

d=16t

The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.

Equation for distance according to function is  f(t)=16t

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

t\geq0

Function's range is the interval⇒ [0,∞)

f(t)\geq0

The statements which are TRUE are explained below :

b) The distance traveled depends on the amount of time Marlene rides her bike

It is true because as explained above that equation for distance according to function is  f(t)=16t

e) The function f(t) = 16t represents the scenario.

It is true because as explained that the scenario has been represented by the function above that f(t)=16t

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because 16 is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because t = d + 16 donot represents the scenario.

8 0
3 years ago
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