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Vika [28.1K]
3 years ago
14

Hi! I need help with this:

Mathematics
1 answer:
arlik [135]3 years ago
5 0
<h3>Answer:  50</h3>

==========================================================

Explanation:

We simply multiply the two values given to us

600*(1/12) = 600/12 = 50

We expect about 50 bulbs to be defective.

Note how if we had 50 bad bulbs, then 50/600 = (1*50)/(12*50) = 1/12 of the batch of 600 bulbs is defective.

You might be interested in
Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
  • slope of equation C is -4/3
  • slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
10 months ago
3(4-2x)=-2x<br> will make brainiest to the first two people that answer correctly with explanation
ASHA 777 [7]

Answer:

x = 3

Step-by-step explanation:

First, distribute 3 into the parenthesis:

3(4 - 2x) = -2x

12 - 6x = -2x

Next, combine your x variables by adding +6x to both side:

12 - 6x = -2x           (-6x and +6x cancel out)

   +6x    +6x

12 = 4x                     (divide 12 by 4 to get x by itself)

/4     /4

x = 3

3 0
3 years ago
What are the explicit equation and domain for an arithmetic
max2010maxim [7]

Given:

First term of an arithmetic sequence = 5

Second term = 3

To find:

The explicit formula for the given arithmetic sequence.

Solution:

We have,

First term: a_1=5

Second term: a_2=3

Common difference is

d=a_2-a_1

d=3-5

d=-2

Now, the explicit formula for an arithmetic sequence is

a_n=a+(n-1)d

where, a is first term and d is common difference.

Putting a=5 and d=-2, we get

a_n=5+(n-1)(-2)

It can also be written as

a_n=5-2n+2

a_n=7-2n

Here, n is an integer greater than or equal to 1.

Domain is the set of input values.

Therefore, the explicit equation is a_n=5+(n-1)(-2) or a_n=7-2n and domain is all interest greater than or equal to 1.

8 0
2 years ago
ANSWER ASAP!! WILL GIVE OR MORE POINTS TO THE FIRST ONE WHO ANSWERS!
Sergio [31]

Answer: See the picture attached.

Step-by-step explanation:

Given the following mixed numbers:

-2\frac{3}{4}\\\\-4\frac{1}{2}

You need to convert them to decimal numbers. The steps to do this are shown below:

1. Divide the numerator of the fraction by the denominator.

2. Add the quotient obtained to the whole number part.

Then:

-2\frac{3}{4}=-(2+0.75)=-(2.75)=-2.75\\\\-4\frac{1}{2}=-(4+0.5)=-(4.5)=-4.5

Therefore, the point is:

(-2.75,-4.5)

Where -2.75 is the x-coordinate and -4.5 is the y-coordinate.

Knowing this, you can plot it on the coordinate plane, as you can see in the picture attached.

8 0
3 years ago
Which expresión is equivalent to
hoa [83]
-32^3/5
= (-2^5)^3/5
= -2^3
= -8

answer
-8
3 0
3 years ago
Read 2 more answers
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