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Gnom [1K]
2 years ago
12

A university employs a total of 560 teaching assistants and research assistants. There are three times as many teaching

Mathematics
1 answer:
Scrat [10]2 years ago
8 0

Answer:

170

Step-by-step explanation:

There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.

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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).
Phoenix [80]

Answer:

y=20(2)^x

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

y=ab^x

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

20=a(b)^0

Simplify:

20=a(1)\Rightarrow a=20

So, our exponential function is now:

y=20(b)^x

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

1280=20(b)^6

Solve for <em>b</em>. Divide both sides by 20:

64=b^6

Therefore:

b=\sqrt[6]{64}=2

Hence, our function is:

y=20(2)^x

8 0
3 years ago
What is 4z(6x+7y)?<br><br> Please help!
marshall27 [118]

Answer:

24xz + 28yz

Step-by-step explanation:

4z(6x + 7y) ← multiply each term in the parenthesis by 4z

= 24xz + 28yz

4 0
3 years ago
Read 2 more answers
George uses mangos (m) and pineapples. (p) to make one jar of fruit salsa. Mangos sell at the
Illusion [34]

Answer:

N(4.49m + 5p )

Step-by-step explanation:

N  is the number of jars of fruit salad

Example 3 fruit salads:

3(4.49m + 5p )

8 0
3 years ago
Log2 (M) + log3 (N)<br> how do you solve??
natta225 [31]

Answer:

log2(M)+log3(N)

simplifies to:

simplified step by step

Step-by-step explanation:

0.30103m+0.477121n.

the answer is

0.39103m+0.477121n

6 0
3 years ago
Select the correct answer. The graph of the function is shown f(x)=sin(x). What is the domain of the function? PLATO USERS
pav-90 [236]

Answer:

Domain: (−∞,∞),{x|x∈R}

Step-by-step explanation:

the domain will be Domain: (−∞,∞),{x|x∈R} because

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

6 0
3 years ago
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