All categories

2 years ago

Question 4:

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

8 0

Answer:

a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.

b. 10 minutes

c. 6 minutes

Step-by-step explanation:

Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.

Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.

J(x)=-13.9-7.5x

J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4

a(x)=-97.3=+6.4x

a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1

a(x)=-97.3=+6.4x

-33.3=-97.3=+6.4x

64=6.4x

x=10

when divers are at the same depth, J(x)=a(x)

J(x)=a(x)

-13.9-7.5x=-97.3=+6.4x

83.4=13.9x

x=6

You might be interested in

PLEEASE COME TO MY CLASS AND CRASH IT WITH DN JOKES OR MUSIC

Grace [21]

Ok bet I got you say less

3 0

2 years ago

Read 2 more answers

Which type of association does the scatter plot show?

Oksana_A [137]

Answer:

non linear

Step-by-step explanation:

the graph is showing more of a parabola than a linear line

8 0

1 year ago

A scale drawing of a bedroom is shown below. The scale is 1 : 30.

ladessa [460]

Answer: 75 feet²

Step-by-step explanation:

The scale means that for every one unit in the scale drawing, it is 30 units in the actual room. We will convert the dimensions using proportions.

$\frac{1}{3} =\frac{30}{x}$

x = 90

$\frac{1}{4} =\frac{30}{x}$

x = 120

The area of a rectangle can be found by multiplying the length by the width:

A = L * W

A = 90 * 120

A = 10,800 inches²

To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.

10,800 inches² / 144 = 75 feet²

The area of the room, in square feet, is 75 feet².

3 0

1 year ago

Explain distributive property of 5×198

Molodets [167]

5(100)= 500

5(90)= 450

5(8)= 40

500+450+40= 990

The answer is 990. Hope this helps!

6 0

2 years ago

Use mathematical induction to prove that the statement is true for every positive integer n. 8 + 16 + 24 + . . . + 8n = 4n(n + 1

mezya [45]

First show the statement holds for $n=1$ . The left hand side is just 8, and the right hand side is $4(1)(1+1)=8$ , so it's true.

Assume the statement holds for $n=k$ , i.e.

$8+16+\cdots+8(k-1)+8k=4k(k+1)$

and use this to show it holds for $n=k+1$ , i.e.

$8+16+\cdots+8(k-1)+8k+8(k+1)=4(k+1)(k+2)$

By the assumption above, you have

$\underbrace{8+16+\cdots+8(k-1)+8k}_{n=k}+8(k+1)=4k(k+1)+8(k+1)=4(k+1)(k+2)$

so the statement is true for all $n\ge1$ .

3 0

2 years ago