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LiRa [457]
3 years ago
13

Brad earns $12.75/hr and works 40 hours a week. What is his gross annual income?

Mathematics
1 answer:
Mrac [35]3 years ago
6 0
$12.75/hr x 40hrs = $510
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Write the standard form of the line that passes through the point (1,5) and is parallel to the x -axis. Include your work in you
scoray [572]

Answer:

y = 5

Step-by-step explanation:

A line parallel to the x- axis has equation

y = c

Where c is the value of the y- coordinates the line passes through

The line passes through (1, 5) with y- coordinate of 5, thus

y = 5 ← equation of line

7 0
3 years ago
Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

5 0
3 years ago
A rectangles tabletop has a length of 4 3/4 feet and a area of 11 7/8 square feet what is the width of the tabletop
Natalija [7]
Area is length times width. Therefore, width is area divided by length. Convert 11 7/8 to the improper fraction 95/8 and convert 4 3/4 to 19/4. Then, you can fine 95/8 divided by 19/4 by flipping the second fraction and multiplying so that you have 95/8 times 4/19. 4 times 95 is 380 and 8 times 19 is 152. Therefore, the answer is 380/152. This is equivalent to 5/2 or 2.5. 
3 0
3 years ago
In a U.S poll 8 out of 12 citizens said they were happy with the job Obama is doing. If 126 people were surveyed. How many peopl
Illusion [34]
You could solve this using a proportion or just by common sense. 

Proportion: 8/12 = x/126

Cross multiply: 12x = 1008

1008/12 = 84

Or the common sense route is just dividing 12 by 8 then multiplying the answer by 126. Either way, you get the same answer. Hope this helps! :)

~Ash
6 0
3 years ago
Read 2 more answers
What Is The Area Of This Trapezoid?
DerKrebs [107]
80 square units
______________________________________________
The Formula for the area of a trapezoid is A= (a+b/2)h

A= 3+17/2 (8)
A= 20/2 (8)
A= 10 (8)
A = 80
5 0
3 years ago
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