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jarptica [38.1K]
3 years ago
8

PLEASE HELP WILL MARK BRAINIEST AND NO LINKS!!!!

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

a. 5 seconds

b. 1 second

Step-by-step explanation:

Plug the values into the equation and solve for t.

f(t)=-16t^2+400\\f(t)=-16t^2+16

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Jim worked 40 hours last week, plus 8 overtime hours at the time-and-a-half rate. His gross pay was $884. A. What was his hourly
marishachu [46]

Answer:

Hourly rate: $17.

Hourly overtime rate: $25.5.

Step-by-step explanation:

Let x represent Jim's hourly pay.

We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be 40x.

We are also told that his over time pay is time-and-a-half rate that is 1.5x.

The amount earned for working 8 overtime hours would be 8\cdot 1.5x=12x.

Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:

40x+12x=884

52x=884

\frac{52x}{52}=\frac{884}{52}

x=17

Therefore, Jim's hourly rate is $17.

Overtime rate would be 1.5x\Rightarrow1.5(17)=25.5

Therefore, Jim's hourly overtime rate is $25.5.

7 0
3 years ago
I need help with #66 and #68
NeX [460]

Step-by-step explanation:

66. Δy = -3.4 Δx

Δy/Δx = -3.4

The slope of the line is -3.4. Slope-intercept equation of the line is:

y = -3.4x + b

Plug in the given point to find b:

2 = -3.4(4) + b

b = 15.6

Therefore, the equation is y = -3.4x + 15.6.

Use the equation to find the y coordinates.

\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right]

68. Repeat the same steps as 66.

Δy = -1.7 Δx

Δy/Δx = -1.7

The slope of the line is -1.7. Slope-intercept equation of the line is:

y = -1.7x + b

Plug in the given point to find b:

3 = -1.7(-7) + b

b = -8.9

Therefore, the equation is y = -1.7x − 8.9.

Use the equation to find the x or y coordinates.

\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right]

4 0
2 years ago
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