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3 years ago

Y’all I need help asap. I also need to show my work for this so if you can find the slope AND explain how that would be AMAZING

Mathematics

1 answer:

DochEvi [55]3 years ago

4 0

Answer:

Step-by-step explanation:

Slope = rise/run

pick two points, (0,2) (3, -7)

take their y values and subtract them

take their x values and subtract them

2-(-7) over 0-3 is 9/-3

simplify

-3

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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day

-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

$A(t) = A(0)e^{-kt}$

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

$A(t) = A(0)e^{-0.1392t}$

Find the substance's half life, in days.

This is t for which $A(t) = 0.5A(0)$ . So

$A(t) = A(0)e^{-0.1392t}$

$0.5A(0) = A(0)e^{-0.1392t}$

$e^{-0.1392t} = 0.5$

$\ln{e^{-0.1392t}} = \ln{0.5}$

$-0.1392t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.1392}$

$t = 4.98$

The substance half-life is of 4.98 days.

5 0

3 years ago

You have 3 online accounts in three different banks valued at: bank "A" = $250.67, 12% interest, bank "B" $765.13, 7% interest,

gregori [183]

Answer:

$\$882.89$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

Bank A

$t=1\ years\\ P=\$250.67\\r=12\%=12/100=0.12$

substitute in the formula above

$I=250.67(0.12*1)=\$30.08$

Bank B

$t=1\ years\\ P=\$765.13\\r=7\%=7/100=0.07$

substitute in the formula above

$I=765.13(0.07*1)=\$53.56$

Bank C

$t=1\ years\\ P=\$28,500.36\\r=9\%=9/100=0.09$

substitute in the formula above

$I=28,500.36(0.09*1)=\$2,565.03$

Find the average interest gained from the three accounts in one year

$[\$30.08+\$53.56+\$2,565.03]/3=\$882.89$

3 0

3 years ago

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the

Darya [45]

Answer:

Brand 1 Brand 2 Difference

37734 35202 2532

45299 41635 3664

36240 35500 740

32100 31950 150

37210 38015 −805

48360 47800 560

38200 37810 390

33500 33215 285

Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516

Mean = $d=\frac{7516}{8}$

Mean = $d=939.5$

a) d= 939.5

$\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}$

$=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}$

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, $t_{\frac{\alpha}{2}}=3.499$

Formula for confidence interval $= \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)$

Substitute the values

confidence interval $= 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

confidence interval $= 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$ to $= 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

Confidence interval $−843.396\$ to $2722.396$

8 0

3 years ago

The length of a rectangle is 3 times longer than its width. If the area of the rectangle is 24 square inches, then what is the p

NikAS [45]

Answer: The answer is 16√2 cm.

Step-by-step explanation: Given that there is a rectangle with length 3 times than its width. We are to find the perimeter of the rectangle.

Let 'w' represents the width of the rectangle.

Then, its length will be 3w.

Also, area of the rectangle = 24 square inches.

Therefore,

$3w\times w=24\\\\\Rightarrow 3w^2=24\\\\\Rightarrow w^2=8\\\\\Rightarrow w=2\sqrt 2.$

So, width = 2√2 inches and length = 6√2 inches.

Thus, perimeter of the rectangle = 4√2 + 12√2 = 16√2 cm.

4 0

3 years ago

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4: 8 = 18: N WHAT IS THE ANSWER PO

UkoKoshka [18]

Answer:

Step-by-step explanation:

8N=72

N=9

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3 years ago