Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds is given by the equation d=|300−48t|. At what times is the car 60 feet from you?

Answers

Answer 1

Answer:

The answer to this question would be: 5 second

In this question, you are given the initial distance (300ft), car velocity(48ft/s) and the final distance(60ft). You are also given the equation to calculating the distance, so this question should be easier. The question is when the time where the distance is 60 ft. So the answer would be:

distance= 300-48t

60 = 300ft- 48t

48t= 300- 60=240

t= 5

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Select True or False for each statement.True False

The graph of a function is always a straight line.

The equation y=xy=x represents a function.

Answers

1. False
2. False
...........

Estimate the sum or difference?
6/10 + 7/12
Not sure how to do?

Answers

is it a mixed number or a improper fraction?

FUTA tax is paid A. only weekly. B. by an employee. C. by the employer. D. by both the employee and the employer.

Answers

Answer:

C. by the employer.

Step-by-step explanation:

The Federal Unemployment Tax Act or FUTA is a payroll tax, paid by the employers on employee wages.

These are paid annually or quarterly to fund for the unemployment benefits that are helpful for employees who lose their jobs.

Hence, the answer is : FUTA tax is paid by the employer.

The only one that pays the FUTA (Federal Unemployment Tax Act) is the employer.

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

This answer will get deleted...but I do not have time to post the work on this one..

m= 3/5

b=-33/5

$y= (3)/(5) x+- (33)/(5)$

Thus, your equation.

Lets first find the slope:
(y₂-y₁)=m(x₂-x₁)
(-9-(-3)) = m(-4-6)
-6 = m(-10)
Isolate m:
$(-6)/(-10)$ = $(m(-10))/(-10)$
-10 and -10 cancels out
$(-6)/(-10)$ = m
$(3)/(5)$ = m

Now we know the slope, which is $(3)/(5)$

The equations is
y = mx + c
Take any two coordinates from the given above

Im taking (6,-3)
Plug in those coordinates and the slope to the formula

-3 = $(3)/(5)$ (6) + c
-3 = $(18)/(5)$ + c
Isolate c
-3 - $(18)/(5)$ = c
$- (33)/(5)$ = c
which gives us:
-6.6 = c

Now plug in the slope and c in the equation:

y = $(3)/(5)$ x+ (-6.6)
or
y = $(3)/(5)$ x +(- $(33)/(5)$ )

What is the result of investing 1,000 dollars plus interest? a) 1k plus interest b) 12k plus interest c) Not usually d) $1,000 plus interest

Answers

Answer: A

Step-by-step explanation: Simple Interest: A = P(1+rt)

P: the principal, the amount invested

A: the new balance

t: the time

r: the rate, (in decimal form)

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

If the sum of the measures of ∠1 and ∠2 is 180°, what is the sum of the measures of ∠3 and ∠4?A) 360°
B) 120°
C) 90°
D) 180°

Answers

in any 4-sided shape, the angles add to 360. if angles 1 & 2 are 180, 3 & 4 are also 180. the answer is D

Final answer:

The sum of the measures of ∠3 and ∠4 is 180°.

Explanation:

To find the sum of the measures of ∠3 and ∠4, we need to know the relationship between these angles and ∠1 and ∠2. If the sum of the measures of ∠1 and ∠2 is 180°, this means that these two angles are supplementary. In other words, they add up to 180°. Since angles ∠3 and ∠4 are corresponding angles with ∠1 and ∠2, they will also be supplementary to each other. Therefore, the sum of the measures of ∠3 and ∠4 is 180° as well.