MATHEMATICS COLLEGE

What is 4/6 ÷8/14???????????????

Answers

Answer 1

Answer:

Answer:

7/6

Step-by-step explanation:

4/6 divided by 8/14

4/6 * 14/8

56/48

Simplified: 7/6

Answer 2

Answer: 1.16666666667

Is the correct answer to your question!

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1. Solve the equation: p + 15 = 51
a. p = 65
b. p = 46
C. p = 66
d. p = 36

Answers

Answer:

D. 36

Step-by-step explanation:

51-15= 36

What can be the last digit of the fourth power of a natural number?

Answers

Answer:

0, 1, 5 and 6.

Step-by-step explanation:

If we take all the digits 0 to 9 and take them to the power 4 we will get the answer.

eg 0^4 = 0 1^4 = 1 4^4 = 256

the answer is 0, 1, 5 and 6.

Answer:

the last digit can only one of the following: 0, 1, 5, 6

Step by Step Explanations:

It is enough to show that all single digit numbers to the power on four end on one of the four above. Any number with two or more digits can be shown to have the same property.

Let me know if you have any questions.

The point-slope form of the equation of a nonvertical line with slope, m, that passes through the point (x1,y1) is...?a. Ax+By=c

b. y-y1=m(x-x1)

c. y1=mx1+b

d. Ax1+by1=C

e. y=mx+b

f. y1-y=m(x-x1)

Please explain why, if you can. Thanks! :)

Answers

The equation of the line, in point-slope form, is given by:

$y - y_1 = m(x - x_1)$

Option b.

-----------------------------------------

The equation of a line, in point-slope form, is given by:

$y - y_1 = m(x - x_1)$

In which

m is the slope.
The point is $(x_1,y_1)$ .
Nonvertical line means that $m \neq 0$
Thus, the correct option is given by option b.

A similar problem is given at brainly.com/question/24144915

Answer:

b. y-y1 = m(x-x1)

Step-by-step explanation:

It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.

slope-intercept form: y = mx + b
point-slope form: y -y1 = m(x -x1)
two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
intercept form: x/a +y/b = 1
standard form: ax +by = c
general form: ax +by +c = 0

Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.

Renee has a triangular garden with an area of 24 square feet. Which drawing shows Renee's garden?3 ft.
6 ft.
6
ft.

Answers

the third option is the answer

Answer:

3 ft

Step-by-step explanation:

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) ? 0.]f(x) = 10/x , a= -2f(x) = \sum_{n=0}^{\infty } ______Find the associated radius of convergence R.R = ______

Answers

Rewrite $f$ as

$f(x)=\frac{10}x=-\frac5{1-\frac{x+2}2}$

and recall that for $|x|<1$ , we have

$\displaystyle\frac1{1-x}=\sum_(n=0)^\infty x^n$

so that for $\left|\frac{x+2}2\right|<1$ , or $|x+2|<2$ ,

$f(x)=-5\displaystyle\sum_(n=0)^\infty\left(\frac{x+2}2\right)^n$

Then the radius of convergence is 2.

Final answer:

The Taylor series for the function f(x) = 10/x, centered at a = -2, is given by the formula ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence (R) for the series is ∞, which means the series converges for all real numbers x.

Explanation:

Given the function f(x) = 10/x, we're asked to find the Taylor series centered at a = -2. A Taylor series of a function is a series representation which can be found using the formula f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + .... For f(x) = 10/x, the Taylor series centered at a = -2 will be ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence R is determined by the limit as n approaches infinity of the absolute value of the ratio of the nth term and the (n+1)th term. This results in R = ∞, indicating the series converges for all real numbers x.

Learn more about Taylor series here:

brainly.com/question/36772829

#SPJ3

Points A, B, and C lie on line segment AC. The ratio of AB:BC is 3:7, and the length of AC = 120. What is the length of BC?

Answers

In terms of "ratio units," the length of AC is 3+7=10, so each one is worth 120/10 = 12. The length BC is 7 of those, or 7·12 = 84.

The ratio of AB:BC is 3:7
3 + 7 = 10
the length of AC = 120
so 120 / 10 = 12

BC = 7 x 12 = 84

Answer
The length of BC = 84

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