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storchak [24]
3 years ago
12

The equation of a line is 8x+2y=10. Calculate the slope of the line.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

Answer:

that is the solution to the question

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Find the exact value of sin(u+v) given that sin u=7/25 and cos v=-12/13
Helen [10]

Answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A seagull has a vertical position a, and a shark has a vertical position b. Draw and label a point on the vertical axis to show
notsponge [240]

Answer:

Image attached

Step-by-step explanation:

The question asks to represent the position of two animals in a the cartesian coordinates plane. This is two perpendicular axis, the y-axis is the vertical one and the x-axis is the horizontal one. The animals are represented by dots, called a for the seagull and b for the shark.

Since the y-axis is the vertical axis and they ask to draw the points with a verical difference between them, we will draw the points in it.

Say the x-axis represents the sea surfice. The seagull would be over the sea, and the shark under the sea surfice (under x-axis).

This is the resulting drawing

5 0
4 years ago
Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the co
jeka57 [31]

Answer:

<h2>A. The series CONVERGES</h2>

Step-by-step explanation:

If \sum a_n is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

\lim_{n \to \infty} |\frac{a_n_+_1}{a_n}| = \rho

If \rho < 1, the series converges absolutely

If \rho > 1, the series diverges

If \rho = 1, the test fails.

Given the series \sum\left\ {\infty} \atop {1} \right \frac{n^2}{5^n}

To test for convergence or divergence using ratio test, we will use the condition above.

a_n = \frac{n^2}{5^n} \\a_n_+_1 = \frac{(n+1)^2}{5^{n+1}}

\frac{a_n_+_1}{a_n} =  \frac{{\frac{(n+1)^2}{5^{n+1}}}}{\frac{n^2}{5^n} }\\\\ \frac{a_n_+_1}{a_n} = {{\frac{(n+1)^2}{5^{n+1}} * \frac{5^n}{n^2}\

\frac{a_n_+_1}{a_n} = {{\frac{(n^2+2n+1)}{5^n*5^1}} * \frac{5^n}{n^2}\\

aₙ₊₁/aₙ =

\lim_{n \to \infty} |\frac{ n^2+2n+1}{5n^2}| \\\\Dividing\ through\ by \ n^2\\\\\lim_{n \to \infty} |\frac{ n^2/n^2+2n/n^2+1/n^2}{5n^2/n^2}|\\\\\lim_{n \to \infty} |\frac{1+2/n+1/n^2}{5}|\\\\

note that any constant dividing infinity is equal to zero

|\frac{1+2/\infty+1/\infty^2}{5}|\\\\

\frac{1+0+0}{5}\\ = 1/5

\rho = 1/5

Since The limit of the sequence given is less than 1, hence the series converges.

5 0
3 years ago
Mark watches a movie that is 124 minutes long. He fell asleep 75% of the way through. How many minutes of the movie did Mark act
Ipatiy [6.2K]

Answer:

He watch 31 minutes of the movie.

Step-by-step explanation:

75% of 124 minutes is 93 minutes. there is 25% left so 25% of 124 is 31

4 0
3 years ago
Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte . She wants to keep her bill at $75.1
docker41 [41]

Answer:

57.50+4x=75.10

x=4.4

So she can use up to 4.4 gigabytes of data

4 0
3 years ago
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