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zimovet [89]
3 years ago
12

(02.03 MC)

Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer:

So the Solution is

x = 4\ , x = -2

Step-by-step explanation:

Solve for x: 4|2x − 2| + 10 = 34.

Step 1. Subtracting 10 on both the sides we get

4|2x-2|+10-10=34-10\\\\4|2x-2|=24

Step 2. Dividing both the side by 4 we get

\dfrac{4|2x-2|}{4}=\dfrac{24}{4}\\\\|2x-2|=6

Step 3. Removing Modulus sign we get two values

2x-2=6\ or\ 2x-2=-6\\\\2x=6+2\ or\ 2x=-6+2\\\\2x=8\ or\ 2x=-4\\\\x=\dfrac{8}{2} \ or\ x=\dfrac{-4}{2} \\\\x=4\ or\ x=-2\\

So the Solution is

x = 4\ , x = -2

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Draw a segment perpendicular to each given segment. Show your thinking by sketching triangles as needed.
Digiron [165]

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Evaluate the expression 25+10.2×4-2
JulijaS [17]

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Step-by-step explanation:


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3 years ago
Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body
PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

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Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

(a)

Compute the 5-hour decay factor as follows:

5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

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3 years ago
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bonufazy [111]

Answer:

Y=10x

(multiply 10 times the salamanders)

Step-by-step explanation:

a formula that can be used for this circumstance is a linear y=mx+b problem. for 1 salamander there are 10 frogs. so with this we can state that y=10x. whatever you plug into the x for the number of salamanders will give you the answer of how many frogs are in the pond. for example.

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also because 10 is a nice number you can just multiply the number of salamanders times 10. 3*10=30

4 0
3 years ago
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