All categories

3 years ago

What is the standard form of the equation given the slope of: - 3/5 and y-intercept 5

Mathematics

1 answer:

AlladinOne [14]3 years ago

3 0

Answer:

y= -3/5x+5

Step-by-step explanation:

You might be interested in

Waats 10+1 im in fith grade and i dont know it.

spayn [35]

The answer is 11. don't worry, I often forget the basics too XD

8 0

2 years ago

Please help me solve this

Viktor [21]

You can factor the 32 out of the sum:

$\displaystyle \sum_{m=1}^\infty 32 \cdot \left(\dfrac{1}{2}\right)^{m-1} = 32\sum_{m=1}^\infty \left(\dfrac{1}{2}\right)^{m-1}$

We can also change the index as follows

$\displaystyle 32\sum_{m=1}^\infty \left(\dfrac{1}{2}\right)^{m-1} = 32\sum_{m=0}^\infty \left(\dfrac{1}{2}\right)^{m}$

Now, we have a theorem that states that the series

$\displaystyle \sum_{m=1}^\infty a^m$

converges if and only if $|a|$ , and in this case we have

$\displaystyle \sum_{m=1}^\infty a^m = \dfrac{1}{1-a}$

This is your case, because you have

$|a|=\dfrac{1}{2}$

which implies that your series converges, and the value is

$\displaystyle 32\sum_{m=0}^\infty \left(\dfrac{1}{2}\right)^{m} = 32 \cdot \dfrac{1}{1-\frac{1}{2}} = 32\cdot 2 = 64$

3 0

3 years ago

HELLLL I’ll give Brainlist

MrRa [10]

Helium if I was you I would have chooses helium haha

8 0

2 years ago

An athlete ran a sprint of 100 ft in 3.1 s. At what speed was the athlete running in miles per hour? Round to the nearest mile p

nordsb [41]

Answer:

22 miles per hour

Step-by-step explanation:

we know that

The speed is the ratio of distance by the time

Let

d -----> distance in feet

t ----> time in seconds

s ----> the speed in ft/sec

$s=\frac{d}{t}$

we have

$d=100\ ft\\t=3.1\ sec$

substitute

$s=\frac{100}{3.1}$

$s=32.26\frac{ft}{sec}$

Remember that

$1\ mi=5,280\ ft$

$1\ h=3,600\ sec$

Convert ft/sec to mi/h

$s=32.26\frac{ft}{sec}=32.26\frac{(1/5,280)}{(1/3,600)}=32.26(\frac{3,600}{5,280})=22\ \frac{mi}{h}$

7 0

2 years ago

A survey of 120 teachers determined the following:

son4ous [18]

Answer:

Step-by-step explanation:

3 0

3 years ago