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2 years ago

What is a unit fraction?

Mathematics

1 answer:

guapka [62]2 years ago

7 0

Answer:

denominator

Step-by-step explanation:

the upper part is numerator

so the lower is denominator

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A lake is stocked with 1,500 young trout. If the number of the original trout alive after x years is given by the function P(x)=

musickatia [10]

The function $P(x)=1500e^{-0.4x}$ gives the number of the original trout alive after x years. When the number of the original trout alive is 300, then

$300=1500e^{-0.4x}$

Solve this equation:

$e^{-0.4x}=\dfrac{300}{1500},\\ \\e^{-0.4x}=\dfrac{1}{5},\\ \\-0.4x=\ln \dfrac{1}{5},\\ \\x=\dfrac{\ln \dfrac{1}{5}}{-0.4}\approx 4.024.$

Answer: after 4.024 year (or 5 year if round to the whole number of years)

7 0

3 years ago

Sixty out of 300 is how many percent out of 100

tiny-mole [99]

6 percentnnrjfjrjridhdhdhdhdhdh

6 0

3 years ago

Read 2 more answers

Given the preimage and image,find the dilation scale factor.

Oliga [24]

Answer:

The dilation scale factor is $\frac{1}{2}$ .

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) $K' = \alpha_{1} \cdot K$

2) $T' = \alpha_{2} \cdot T$

3) $P' = \alpha_{3} \cdot P$

4) $J' = \alpha_{4} \cdot J$

5) $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$

If we know that $K = (2, 0)$ , $K' = (1, 0)$ , $T = (3, 0)$ , $T' = (1.5,0)$ , $P = (1, 5)$ , $P' = (0.5, 2.5)$ , $J = (0, 3)$ and $J' = (0, 1.5)$ , then the coefficients are, respectively:

$\alpha_{1} = \frac{1}{2}$ , $\alpha_{2} = \frac{1}{2}$ , $\alpha_{3} = \frac{1}{2}$ , $\alpha_{4} = \frac{1}{2}$

As $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$ , we conclude that the dilation scale factor applied in the preimage is equal to $\frac{1}{2}$ .

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3 years ago

What is 170% of 97 tons???

Ede4ka [16]

$x=170\% * 97 \\ \\ x= \frac{170}{100} *97 \\ \\ x= \frac{17}{10}*97 \\ \\ x= \frac{1649}{10}=164.9$

6 0

3 years ago

Can you help me by showing work on some of them please I’m having trouble

Xelga [282]

1, 1.84+2= 1.84+2.00=3.84
3, 0.90+2= 0.90+2.00 = 2.90
4, 0.5+5= 0.5+5.0=5.5

Do you want more?

6 0

3 years ago