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3 years ago

u don’t need to do the explanations for the questions. Just answer each expression with correct/incorrect. thank-you :)

Mathematics

1 answer:

tigry1 [53]3 years ago

5 0

Answer:

correct

incorrect

correct

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Please help me solve this

grigory [225]

Answer:

The length of river D is 2550

length of river C is 2550+500=3050

Step-by-step explanation:

Let the river D be 'x'

and the river C is (x+500)

x + x + 500 = 5600

2x + 500 = 5600

2x = 5600 - 500

2x = 5100

x = 5100/2

x = 2550

The length of river D is 2550

length of river C is 2550+500=3050

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2 years ago

Which figure could be the result of dilating this triangle with a scale factor greater than 1?

Leviafan [203]

Answer:

Step-by-step explanation:

8 0

3 years ago

A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. Find the age of the mammal hide to t

Naya [18.7K]

Answer: 54678 years

Step-by-step explanation:

This can be solved by the following equation:

$N_{t}=N_{o}e^{-\lambda t}$ (1)

Where:

$N_{t}=54\%=0.54$ is the quantity of atoms of carbon-14 left after time $t$

$N_{o}=1$ is the initial quantity of atoms of C-14 in the mammal hide

$\lambda$ is the rate constant for carbon-14 radioactive decay

$t$ is the time elapsed

On the other hand, $\lambda$ has a relation with the half life $h$ of the C-14, which is $5730 years$ :

$\lambda=\frac{ln(2)}{h}=\frac{ln(2)}{5730 years}=1.21(10)^{-4} years^{-1}=0.000121 years^{-1}$ (2)

Substituting (2) in (1):

$0.54=1e^{-(0.000121 years^{-1}) t}$ (3)

Applying natural logarithm on both sides of the equation:

$ln(0.54)=ln(1e^{-(0.000121 years^{-1}) t})$ (4)

$-0.616=-(0.000121 years^{-1}) t$ (5)

Isolating $t$ :

$t=\frac{-0.616}{-0.000121 years^{-1}}$ (6)

$t=54677.68 years \approx 54678 years$ (7) This is the age of the mammal hide

8 0

3 years ago

Find the quotient. Simplify if possible. <br><br> What is 2/9 divided by (-3/27) ?

Black_prince [1.1K]

$\sf \frac{2}{9}:(-\frac{3}{27}^{(3})= \frac{2}{9}* (-9)=\boxed{\sf -2}$

5 0

4 years ago

Please help me if can, tysm

Gelneren [198K]

Square root of 4096 is 6.4 so the answer is 64 + 6.4 = 70.4.

8 0

3 years ago

Read 2 more answers