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3 years ago

10

The Cincinnati zoo had 25 snakes before the Columbus zoo gave them 5 more. What is the percent increase from the 25 snakes?

1 answer:

DochEvi [55]3 years ago

6 0

This is a 20% increase. If we divvy up the 25 into 5 groups, we can say that each group is 20%. since we added another group of 5, we can go off of our known values and say that this was a 20% increase.

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Find a quadratic function in standard form for each set of points

otez555 [7]

For 1 the equation of the parabola is y = x^2 - 8x + 3
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For 3 the equation of the parabola is y = -x^2 + 5x - 4

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3 years ago

Type the correct answer for each box write your answer in decimal form rounded to the nearest tenth if necessary type the soluti

stira [4]

The solution is $x=-1$ and $x=-0.5$

Step-by-step explanation:

The expression is $2x(x+1.5)=-1$

Multiplying the term $x+1.5$ by $2x$ , we get,

$2x^{2} +3x=-1$

Adding both sides by 1,

$2x^{2} +3x+1=0$

Taking factor, we get,

$\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}$

Equating the factors to 0,

$\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned}$ and $\begin{aligned}x+1 &=0 \\x &=-1\end{aligned}$

Thus, the smaller value is $x=-1$

The solution is $x=-1$ and $x=-0.5$

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3 years ago

Jia is skipping a rock across a pond. The sequence {4.2, 3.57, 3.0345, 2.5793, …} describes the height of the rock on each succe

mylen [45]

Answer:

$u_n=4.2(0.85)^{n-1}$

Step-by-step explanation:

$u_1=4.2\\u_2=3.57\\u_3=3.0345\\u_4=2.5793$

Geometric formula sequence: $u_n=ar^{(n-1)}$

(where $a$ is the first term of the sequence and $r$ is the common ratio)

To find the common ratio, divide one of the terms by the previous term:

$r=\frac{u_2}{u_1} =\frac{3.57}{4.2} =0.85$

From inspection, $a=4.2$

Therefore, $u_n=4.2(0.85)^{n-1}$

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2 years ago

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san4es73 [151]

Answer:

$1 + 100 - 100 + 1000 \\ = 1 + 0 + 1000 \\ = 1001 \\ thank \: you$

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2 years ago

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DaniilM [7]

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3 years ago