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4 years ago

Identify the equation of the same line in standard form

Mathematics

1 answer:

Stells [14]4 years ago

3 0

Answer:

Step-by-step explanation:

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Solve each equation. x2 = 144

Alisiya [41]

X = √144 = +12 or -12

3 0

3 years ago

Read 2 more answers

Someone grew an average of 0.5 cm per month last year. How many inches did they grow in a year.

ivolga24 [154]

One inch is equivalent to 2.54 centimeters. if they grew .5(12)=6 cm then you would.divide six by 2.54 and get approximately 2.36inches

6 0

3 years ago

A substance with a half life is decaying exponentially. If there are initially 12 grams of the substance and after 70 minutes th

77julia77 [94]

Answer: 233 min

Step-by-step explanation:

This problem can be solved by the following equation:

$A=A_{o} e^{-kt}$ (1)

Where:

$A=7 g$ is the quantity left after time $t$

$A_{o}=12 g$ is the initial quantity

$t=70 min$ is the time elapsed

$k$ is the constant of decay for the material

So, firstly we need to find the value of $k$ from (1) in order to move to the next part of the problem:

$\frac{A}{A_{o}}=e^{-kt}$ (2)

Applying natural logarithm on both sides of the equation:

$ln(\frac{A}{A_{o}})=ln(e^{-kt})$ (3)

$ln(\frac{A}{A_{o}})=-kt$ (4)

$k=-\frac{ln(\frac{A}{A_{o}})}{t}$ (5)

$k=-\frac{ln(\frac{7 g}{12 g})}{70 min}$ (6)

$k=0.00769995 min^{-1}$ (7) Now that we have the value of $k$ we can solve the other part of this problem: Find the time $t$ for $A=2 g$ .

In this case we need to isolate $t$ from (1):

$t=-\frac{ln(\frac{A}{A_{o}})}{k}$ (8)

$t=-\frac{ln(\frac{2 g}{12 g})}{0.00769995 min^{-1}}$ (9)

Finally:

$t=232.697 min \approx 233 min$

5 0

3 years ago

Samantha measured 40 1/2 inches. Over the 5 1/2 years, she grew to a height of 57 inches. During the 5 1/2 years, what was the a

Alex17521 [72]

Answer:

The average yearly change in samanthas height was of 3.3 inches.

Step-by-step explanation:

She mesured 40 1/2 = 40.5 inches.

In 5 1/2 years = 5.5 years, she grew to 57 inches.

During the 5 1/2 years, what was the average yearly change in samanthas height?

The total change was of 57-40.5 = 16.5 inches

16.5/5 = 3.3

The average yearly change in samanthas height was of 3.3 inches.

7 0

3 years ago

Maria by 8 1/3 pounds of beef to make tacos for a party she uses 5/9 pounds of beef for each taco how many tacos can maria to ma

Morgarella [4.7K]

You could make 15 tacos

4 0

3 years ago