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astraxan [27]
3 years ago
9

Slope of -5/3 through (0,-4)

Mathematics
1 answer:
Paul [167]3 years ago
5 0
To find the equation, in y=mx+b form, plug in the information you already have,

-4=\frac{-5}{3}(0)+b

\frac{-5}{3} *0=0

making the equation,

-4=0+b
-4=b

Your equation in, y=mx+b form is, y=\frac{-5}{3}-4.
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In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent
galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

|-6| = 6

Step 3 : Divide that answer by the Actual volume.

\frac{6}{48}=0.125

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.125\times 100 = 12.5\%

Hence Percent of error of Logan's Estimate is 12.5%

5 0
4 years ago
Can u write an expression that equals 40.Including an exponet.... please help me☺☺☺
vagabundo [1.1K]
(2^2) +36
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4 0
3 years ago
Read 2 more answers
You put $500 in the bank, where it ears 1.5% simple interest every year. How long until your money will triple?
zzz [600]

Answer:

133.33 years

Step-by-step explanation:

Given that:

Principal = $500

Interest rate (r) = 1.5% = 0.015

Triple amount of principal = $500 * 3 = $1500 = final amount (A)

Number of years (t) =?

Using the relation :

A = P(1 + rt)

1500 = 500(1 + 0.015t)

1500 / 500 = 1 + 0.015t

3 = 1 + 0.015t

3 - 1= 0.015t

2 = 0.015t

2 / 0.015 = 0.015t / 0.015

133.333 = t

133.33 years

3 0
3 years ago
What is the average rate of change of the function
Reptile [31]

Answer:

Average rate of change =-35.7084

Step-by-step explanation:

Given function is f(x)=480(0.3)^x and we need to find average rate of change of the function from x=1\ to\ x=5.

Average rate of change =\frac{f(b)-f(a)}{b-a}

So,

here\ b=5\ and\ a=1\\f(5)=480(0.3)^5\\=480\times0.00243=1.1664\\and\\f(1)=480(0.3)^1\\=480\times0.3=144

Average rate of change

=\frac{f(b)-f(a)}{b-a}\\\\=\frac{f(5)-f(1)}{5-1}\\\\=\frac{1.1664-144}{5-1}\\\\=\frac{-142.8336}{4}= -35.7084

Hence, average rate of change of the function f(x)=480(0.3)^x over the intervel x=1\ to\ x=5 is =-35.7084.  

5 0
3 years ago
shagufta has a part-time job she is paid £5.60. last week shagufta worked for 24 hours. work out shagufta's total pay for last w
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She would get paid £134.40
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3 years ago
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