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Nataly [62]
3 years ago
5

Pleas answer the question in the attached file.

Mathematics
2 answers:
ch4aika [34]3 years ago
8 0
A. My best friends, whose name is Laura, is in law school.

You know this because, if you were to take out the part in between the commas, the sentence would still make sense. It just adds additional detail. 
olasank [31]3 years ago
7 0
First one is the correct one

hope it helps
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An athlete earns $350,000 each year. If his team makes the play-offs, he will earn a 15% bonus. What will be his total earnings
Komok [63]
15% of $350,000 is $52,500. so you add $52,500 to $350,000 and you get $402,500
4 0
3 years ago
What is the equation of a line that is parallel to -2x+3y=-6 and passes through the point (-2,0)
mr_godi [17]
First, a line that is parallel, means a line that has the same slope as the original. To find the slope of the original equation, we have to solve for y.
-2x+3y=-6
3y=2x-6
y=2/3x-2
From this equation, we can see that the slope of the line is 2/3. For every 2 units you go up, you move three units over.

Now we need to use the point (-2,0) to find the equation of the parallel line. 
y-y=m(x-x)

Plug in the point coordinates and the slope, and solve for the final equation of the line.
y-0=2/3(x+2)
y=2/3x+ 4/3
4 0
3 years ago
Fill the missing values to make the equations true.
taurus [48]
Logarithm properties:

\displaystyle \log_a b+\log_a c=\log_a (b\cdot c)\\\\\log_ab-\log_a c=\log_a \left( \frac{b}{c} \right)\\\\\log_{a^p}b^q= \frac{q}{p} \log_a b

According to this, we can get:

\displaystyle a)\log_7 3+\log_7 8=\log_7 (3\cdot 8)=\log_724\\\\b) \log_89-\log_85=\log_8  \frac{9}{5}\\\\c)\log_325=2\log_35
3 0
3 years ago
Explain how to determine if something is a vector space or not
nlexa [21]
All you do is referring to the following definition:

Definition: A<span> vector space </span>is a set V on which two operations + and · are defined, called<span> vector addition </span>and<span> scalar multiplication.</span>

The operation + (vector addition) must satisfy the following conditions:

Closure: If u and v are any vectors in V, then the sum   u + v   belongs to V.

(1)<span> Commutative law: </span>For all vectors u and v in V,     u + v = v + u

(2)<span> Associative law: </span>For all vectors u, v, w in V,     u <span>+ (v</span> + w<span>) = (u</span> + v) + w

(3)<span> Additive identity: </span>The set V contains an<span> additive identity </span>element, denoted by 0, such that for any vector v in V,     0 + v = v   and   v + 0 = v.

(4)<span> Additive inverses: </span>For each vector v in V, the equations     v + x = 0   and   x + v = 0     have a solution x in V, called an<span> additive inverse </span>of v, and denoted by - v.

The operation · (scalar multiplication) is defined between real numbers (or scalars) and vectors, and must satisfy the following conditions:

Closure: If v in any vector in V, and c is any real number, then the product   c · v   belongs to V.

(5)<span> Distributive law: </span>For all real numbers c and all vectors u, v in V,     c · <span>(u</span> + v) = c · u + c · v

(6)<span> Distributive law</span>: For all real numbers c, d and all vectors v in V,     (c+d) · v = c · v + d · v

(7)<span> Associative law</span>: For all real numbers c,d and all vectors v in V,     c · (d · v) = (cd) · v

(8)<span> Unitary law</span>: For all vectors v in V,     1 · v = <span>v</span>

6 0
3 years ago
A circle has a radius of 3. An arc in this circle has a central angle of 20°. What is the length of the arc? Either enter an exa
Semenov [28]

Answer:

\frac{\pi  }{3}

2 * \pi * 3  * \frac{20}{360}

120\pi/360 = \frac{\pi  }{3}

Step-by-step explanation:

5 0
2 years ago
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