Please help me with both of these.

14. Mashud and Iqbal are security guards at a top secret federal vault. They each work 8 hour shifts, consecutively. If Mashud b

Vlada [557]

At the time 4 PM will it be after they each have worked 4 shifts. Option E is correct.

<h3>What exactly is simplification?</h3>

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Mashud and Iqbal are security guards at a top-secret federal vault. They each work 8-hour shifts, If Mashud begins his shift at 8 PM,

The time will it be after they each have worked 4 shifts;

8 PM + 8 hour =4 AM

4 AM + 8 hour = 12 PM

12 PM+ 8 hour =8 PM

8 PM + 8 hour = 4 PM

Hence, option E is correct.

They will each have worked four shifts by the time it is 8 PM.

To learn more about the simplification, refer to:

brainly.com/question/23509407

#SPJ1

3 0

1 year ago

Toby wants to find the volume of a solid toy soldier.

mr Goodwill [35]

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm

Height of the container when water is filled = $(h_1)$ = 4 cm

Height of the container when the toy is submerged = $(h_2)$ =6.6 cm

Volume of the toy = Volume of the container with the toy - Volume of the container (with water)

Volume of the toy = $(l\times b\times h_2) - (l\times b\times h_1)$

= $(l\times b\times)(h_2-h1)$

= $(6\times 8)(6.6-4)$

= $48\times 2.6$

= $124.8$ cubic centimeters.

So,the closest value to the volume of the toy is 125 cubic centimeters.

6 0

3 years ago

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

mars1129 [50]

Answer:

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

This function has the following derivative, which represents the variation in relation to the previous month.

$S'(t) = 0.09t^{2} + t + 9$

Find S(2) and S'(2)

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

$S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24$

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(t) = 0.09t^{2} + t + 9$

$S'(2) = 0.09*2^{2} + 2 + 9 = 11.36$

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0

3 years ago

What is235÷4 spiral revew

iragen [17]

235/4 equals 58.75
Hope this helps!

3 0

3 years ago

Read 2 more answers

Lauren drove her car 20 miles on 10 gallons and gasolin. At this rate, how many gallons qill she use on a 1,200 mile trip?

ser-zykov [4K]

Answer:

600 gallons

Step-by-step explanation:

10÷20=0.5

0.5 x 1,200=600 gallons

3 0

2 years ago