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3 years ago

Use the expression, y3 + 4z – 16 to answer the question.

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

Y3 = y x 3 = 4 x 3 = 12
4z = 4 x z = 4 x 6 = 24

12 + 24 - 16

Im using PEMDAS I’m not sure if you use another order of operations if you do just do the expression your way

12 + 24 = 36
36 - 16 = 20

A. 20

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Write the frost ten terms of a sequence whose first term is -10 and whose common difference is -2

Temka [501]

Answer:

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

$a_n=a_1+(n-1)d$

where

d is the common difference

n is the number of terms

a_1 is the first term of the sequence

In this problem we have

$a_1=-10\\d=-2$

substitute

$a_n=-10+(n-1)(-2)$

$a_n=-10-2n+2$

$a_n=-2n-8$

Find the first ten terms

$a_1=-10$

For n=2 ----> $a_2=-2(2)-8=-12$

For n=3 ----> $a_3=-2(3)-8=-14$

For n=4 ----> $a_4=-2(4)-8=-16$

For n=5 ----> $a_5=-2(5)-8=-18$

For n=6 ----> $a_6=-2(6)-8=-20$

For n=7 ----> $a_7=-2(7)-8=-22$

For n=8 ----> $a_8=-2(8)-8=-24$

For n=9 ----> $a_9=-2(9)-8=-26$

For n=10 ----> $a_1_0=-2(10)-8=-28$

The sequence is

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

5 0

3 years ago

What is the area of this figure?

umka21 [38]

137.5 I took the test and got 100%

3 0

2 years ago

Read 2 more answers

Pre cacl pleaseeeee help. the options are in the attachments as well

ivanzaharov [21]

Answer:

The values of $x$ so that $y = \csc x$ have vertical asymptotes are $-2\pi$ , $-\pi$ , $0$ , $\pi$ , $2\pi$ .

Step-by-step explanation:

The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of $x$ so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is $\pi$ . Then, the vertical asymptotes associated with function cosecant are located in the values of $x$ of the form:

$x = 0\pm \pi\cdot i$ , $\forall \,i\in \mathbb{N}_{O}$

In other words, the values of $x$ so that $y = \csc x$ have vertical asymptotes are $-2\pi$ , $-\pi$ , $0$ , $\pi$ , $2\pi$ .

3 0

3 years ago

As an estimation we are told 5 miles is 8 km. Convert 34.5 km to miles.

rjkz [21]

Answer:

The answer is 21.5625

Step-by-step explanation:

The reason is because it first says 5 miles=8 km so that helps us right there.We divide 34.5 by 8 which will give us 4.3125.Then you have to multiply that by 5 which will give us 21.5625.

8 0

3 years ago

A _____ is accepted to be true without proof, while a _____ is an assertion that can be proven using the rules of logic.A.theore

Luba_88 [7]

Answer:

C. postulate; theorem

Step-by-step explanation:

While a "given" is taken as true without proof, and a "problem" sometimes involves an assertion that can be proven, the answer choices involving these terms are not correct here.

The dictionary definitions of "postulate" and "theorem" apply. It is useful to learn the meaning of these terms so you can understand problems and descriptions that use them.

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3 years ago