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3 years ago

Acellus Find the next two terms in this sequence. 2, 6, 10, 14, 18, [?],[

Mathematics

2 answers:

iren2701 [21]3 years ago

8 0

The next two terms in the sequence are 22 and 26

elena-s [515]3 years ago

8 0

Answer:

22,26

Step-by-step explanation:

Just add 4 every time

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Need help please very confuzzled

SVEN [57.7K]

I'm not too sure either.

5(5) + 3(5) = 40 and

5(2) + 3 (10) = 40

If you can't think of anything maybe that'll help

7 0

3 years ago

Read 2 more answers

What is the slope of a line that passes through the points (–3, 2) and (–6, 5)?

lilavasa [31]

Answer:

-1

Step-by-step explanation:

just do y2-y1 over x2-x1.

8 0

2 years ago

A small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company

sukhopar [10]

Answer:

Step-by-step explanation:

Given that a small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. So remaining 75 are between 5 and 10 years.

Suppose that one employee is selected at random from a list of the employees

A) Probability that the selected employee has been with the firm less than 5 years = $\frac{50}{250 } \\= 0.20$

B) Probability that the selected employee has been with the firm between 5 and 10 years

= $\frac{75}{250 } \\= 0.30$

C) Probability that the selected employee has been with the firm more than 10 years

= $\frac{125}{250} =0.50$

a) P(A) = 0.2

P(C) = 0.5

P(A or B) = 0.2+0.3 = 0.5

P(A and C) = 0 (since A and C are disjoint)

7 0

3 years ago

The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions

Vesna [10]

Answer:

3 ft by 8 ft

Step-by-step explanation:

We were given the area as 24 square feet which means that

L×w= 24....eqn(1)

We were given the perimeter as 22 square feet which means that

22= 2(L +w).......eqn(2)

If we divide both cause by 2 in eqn(2) we have

11= L+ w .....eqn(3)

W= 11-L.........eqn(4)

Substitute eqn(4 into eqn(1)

L× (11-L)=24

-L^2 +11L-24=0

If we factorize

(L-8)(L-3)

L=3 or 8

From eqn4)

W=11-L

At L=3

W=11-3=8

Hence, the dimension is 3 ft by 8 ft

4 0

3 years ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio

JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

$Initial =1\ million$

$6\ years\ later = 500,000$

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

$\frac{dA}{dt} = kA$

Where k represents the constant of proportionality

$\frac{dA}{dt} = kA$

Multiply both sides by dt/A

$\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}$

$\frac{dA}{A} = k\ dt$

Integrate both sides

$\int\ {\frac{dA}{A} = \int\ {k\ dt}$

$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

$t = 0\ when\ A =1\ million$ i.e. At initial

So, we have:

$A = Ce^{kt}$

$1000000 = Ce^{k*0}$

$1000000 = Ce^{0}$

$1000000 = C*1$

$1000000 = C$

$C =1000000$

Substitute $C =1000000$ in $A = Ce^{kt}$

$A = 1000000e^{kt}$

To solve for k;

$6\ years\ later = 500,000$

i.e.

$t = 6\ A = 500000$

So:

$500000= 1000000e^{k*6}$

Divide both sides by 1000000

$0.5= e^{k*6}$

Take natural logarithm (ln) of both sides

$ln(0.5) = ln(e^{k*6})$

$ln(0.5) = k*6$

Solve for k

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

$k = -0.1155$

Recall that:

$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

$A = 600000$

The rate is:

$\frac{dA}{dt} = -0.1155 * 600000$

$\frac{dA}{dt} = -69300$

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0

2 years ago