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2 years ago

Use the coordinates J(7, 8), K(1, 2) and L(5, 2) for AJKL.

Mathematics

1 answer:

Lerok [7]2 years ago

6 0

Answer:

4.3

Step-by-step explanation:

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Solve and check equation 20 = 2r - 3r + 10

Andreas93 [3]

2r-3r+10=20

Move all terms to the left:

2r-3r+10-(20)=0

add all the numbers together, and all the variables

-1r-10=0

move all terms containing r to the left, all other terms to the right

-r=10

r=10/-1

r=-10

7 0

3 years ago

In a repeating musical pattern there are 64 beats in 8 measures. How many measures are there after 96 beats? Find the unit rate.

Olin [163]

Answer:

12 measures

Step-by-step explanation:

Step 1:

64 : 8 Ratio

Step 2:

64 : 8 = 96 : x Equation

Step 3:

64x = 768 Multiply

Step 4:

x = 768 ÷ 64 Divide

Answer:

x = 12

Hope This Helps :)

6 0

2 years ago

Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr

Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

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

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, $A(10) = 0.7278A(0)$ . We use this to find k.

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

$0.7278A(0) = A(0)e^{-10k}$

$e^{-10k} = 0.7278$

$\ln{e^{-10k}} = \ln{0.7278}$

$-10k = \ln{0.7278}$

$k = -\frac{\ln{0.7278}}{10}$

$k = 0.03177289938
$

Then

$A(t) = A(0)e^{-0.03177289938t}$

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

$A(5) = A(0)e^{-0.03177289938*5}$

$A(5) = 0.8531$

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0

3 years ago

3. Bob wrote 0.125 as a fraction. He wrote it as 48. Is Bob correct? Why or why<br> not?<br>

san4es73 [151]

Answer:

125/1000 and no hes not correct

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Write the word sentence as an inequality.

garik1379 [7]

Answer:

-5b <= -34

Step-by-step explanation:

The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.

4 0

2 years ago