All categories

3 years ago

Please help me solve this, I can't get a right answer even though it is easy: | 2x + 4 | = 12

1 answer:

5 0

Because the left side is eclipsed in an absolute value, we have two possible values of x, denoted by:
2x+4 = 12 and -(2x+4) = 12

Solving for both of these, we are presented with the two values of x:
x = 4 and x = -8

You might be interested in

Find the probability that 4 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal place

Ksju [112]

The number of days of not leap years is 365.

So, the number of different variations of birthdays for 4 people is 365 * 365 * 365 * 365 = (365)^4

The probability that all of them be one specific day is 365 / (365)^4 = 1 / (365)^3 ≈ 0.00000002.

Answer: 0.00000002

7 0

3 years ago

A sequence starts with 1, -1,... Give a rule that could follow the next 3 terms.

Aleonysh [2.5K]

Answer:

thus next three terms are -3,-5,-7

Step-by-step explanation:

a=1

first find d

-1-1

-2

then a.p= a,a+d,a+2d,a+3d,a+4d

=1,1-2,1+2×-2,1+3×-2,1+4×-2

=1,-1,1-4,1-6,1-8

=1,-1,-3,-5,-7

plz mark as brainlist

4 0

3 years ago

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface

Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7) About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

$\displaystyle \text{SA}=2\pi r^2+ 2\pi rh$

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

$\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2$

Then the total surface area for 200 cylinders will be:

$\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2$

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

$\displaystyle V=\pi r^2h$

Since r = 1.2 and h = 6.4:

$\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3$

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

$\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3$

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

$\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895$

Thus, approximately 4895 containers can be filled.

5 0

3 years ago

Read 2 more answers

Part 1: Write mathematical equations of sinusoids.

Ilya [14]

Answer:

Part 1: Write mathematical equations of sinusoids.

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

a) What is the phase shift, c, of this curve? (2 points)

b) What is the vertical shift, d, of this curve? (2 points)

c) What is the amplitude, a, of this curve? (2 points)

d) What is the period and the frequency factor, b, of this curve? (2 points

e) Write an equation using the cosine function that models this data set. (5 points)

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to

model the curve using the sine function

Step-by-step explanation:

 plz folow me

5 0

3 years ago

Help if u can.

adelina 88 [10]

Answer:

It would be the 4th one and the last one I think

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers