3 years ago

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.

Mathematics

1 answer:

torisob [31]3 years ago

8 0

Answer:

A,D

Step-by-step explanation:

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What is the slope of the line passing through<br> points (6, -1) and (1,8)?

Fynjy0 [20]

Answer:

-1.8

Step-by-step explanation:

m= y2 - y2over x2 - x1

m= -1 - 8 over 1 - 6 = -1.8

m= -1.8

7 0

2 years ago

The table above shows four numeric expressions. Which expression is an integer when it's evaluated?

Gre4nikov [31]

Answer: H

Step-by-step explanation:

$9(-3)=-27$ , which is an integer.

8 0

2 years ago

Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

Hence, the value of cos theta is -0.352.

8 0

3 years ago

Find the sum of partial fraction for x^4/(x-1)(x²-4)

Aneli [31]

Answer:

see attachment

Step-by-step explanation:

7 0

3 years ago

Suppose the function D(p)=1500-25p represents the demand for hot dogs, whose price is p, at a baseball game. Find the domain of

TiliK225 [7]

The function is given by

$\\ \tt\hookrightarrow D(p)=1500-25p$

Price must be greater than 0

$\\ \tt\hookrightarrow 1500-25p\geqslant 0$

$\\ \tt\hookrightarrow 1500\geqslant 25p$

$\\ \tt\hookrightarrow p\leqslant 60$

Now

$\\ \tt\hookrightarrow D_f\in (-\infty,60]$

3 0

2 years ago