All categories

3 years ago

What is the slope of the line that passes through the points (8, 2) and (9,3)? Write

1 answer:

4 0

$\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{9}-\underset{x_1}{8}}}\implies \cfrac{1}{1}\implies 1$

You might be interested in

Need Help ASAP!!

Aleksandr-060686 [28]

Answer:

$1480.24

Step-by-step explanation:

This will be solved by the formula:

$FV=I(1+r)^t$

Where

FV is the future value (what we are looking for)

I is the initial amount (which is $1000)

r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)

t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)

plugging the info into the formula we will get our answer.

$FV=I(1+r)^t\\FV=1000(1+0.04)^{10}\\FV=1000(1.04)^{10}\\FV=1480.24$

4 0

4 years ago

Solve this inequality: -12a +7<31

vagabundo [1.1K]

Answer:

a > -2

Step-by-step explanation:

-12a +7<31

Subtract 7 from each side

-12a +7-7<31-7

-12a <24

Divide by -12, remembering to flip the inequality

-12a/-12 >24/-12

a > -2

7 0

3 years ago

Read 2 more answers

Use the number 3, 3, 5, and 6 only once, along with +, -, ×, ÷, or () to get a result of 3

gayaneshka [121]

Answer:

5 x 3 + 3 divided by 6 = 3

Step-by-step explanation:

The first thing is to find a way to arrange the numbers. Try every operation until you can get the answer. for this case, i put the answer above.

4 0

3 years ago

A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the

NikAS [45]

Answer:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

$\bar X=0.376$ represent the sample mean for the chloride concentration

$\mu$ population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since we need to find the critical value first we need to begin finding the degreed of freedom

$df=n-1=15-1=14$

The Confidence is 0.95 or 95%, the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value for this case with a t distribution with 14 degrees of freedom is $t_{\alpha/2}=2.145$

And the confidence interval is:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

7 0

4 years ago

Write a polynomial that is a trinomial, has the coefficients 3 and 4, the variable x,

vladimir1956 [14]

Answer:

3x+4x+7

Step-by-step explanation:

First, a Trinomial consists of three terms.

so we have blank+blank+blank

Next we need to add the coefficients.

3+4+blank

Add the variables.

3x+4x+blank

And lastly, add the constant.

3x+4x+7

Good luck!

8 0

3 years ago