In a function, an element of the range must map to exactly one element of the domain.

1 answer:

6 0

*Answer:*
False

*Explanation:*
In a function, an input can only have one output per term. Therefore, each domain (x-variable) can have only one range (y-variable). On the other hand, different domains can map to the the same range.

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Instructions: Find the measure of the indicated angle to the<br> nearest degree

Andru [333]

Answer:

See below.

Step-by-step explanation:

We want to find the unknown angle and we know the sides opposite to it and the hypotenuse. Therefore, we can use sine.

Recall that sine is the ratio of the opposite to the hypotenuse:

$\sin(\theta)=opp/hyp$

Plug in the numbers. The opposite is 20 and the hypotenuse is 55.

$\sin(\theta)=20/55$

Solve for theta (use a calculator):

$\sin(\theta)=20/55\\\theta=\arcsin(4/11)\\\theta\approx21.23\approx21\textdegree$

6 0

3 years ago

What is the algebric expression of z is greater than y by ten

stiv31 [10]

Z = y + 10

I’m not sure if this is the equation you are looking for, but saying that “Z” is equal to “y + 10” is like saying that “Z” is greater than “y” by ten.

I hope this helped! ☻

3 0

3 years ago

Given the Arithmetic series A1+A2+A3+A4

natali 33 [55]

Answer:

$S _{19} = 760$

Step-by-step explanation:

$a1 = 13 \\ a2 = 16 \\ d = a2 - a1 = 16 - 13 = 3 \\ d = 3 \\ a _{n} = l = 67 \\$

now,

$a _{n} = a + (n - 1) \times d \\ 67 = 13 + (n - 1) \times 3 \\ 67 = 13 + 3n - 3 \\ 67 - 13 + 3 = 3n \\ 57 = 3n \\ 3n = 57 \\ \\ n = \frac{57}{3} \\ \\ n = 19$

now the sum of the numbers

$S _{n} = \frac{n}{2} (a + l) \\ \\ S _{19} = \frac{19}{2} (13 + 67) \\ \\ S _{19} = \frac{19}{2} (80) \\ \\ S _{19} = \frac{19}{2} \times 80 \\ \\ S _{19} = 19 \times 40 \\ S _{19} = 760$