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3 years ago

WILL GIVE BRAINLIEST...

Mathematics

1 answer:

makvit [3.9K]3 years ago

7 0

Here are some notes on it. I had to screenshot all of them because they had rude words and whatnot.

I would've helped with the essay but I'm not good at writing stories. Sorry.

Hope this helped.

A brainliest is always appreciated.

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Find the exponential function P(t)=P0a^t where P(2)=5 and P(4)=10

asambeis [7]

Answer:

$P(t)=\frac{5}{2} \cdot (\sqrt{2})^t$

Step-by-step explanation:

$P(2)=5$ meants when $t=2$ , that the value for $P(t)$ is 5.

So this gives us this equation:

$5=P_0 \cdot a^2$

$P(4)=10$ meants when $t=4$ , that the value for $P(t)$ is 10.

So this gives us this equation:

$10=P_0 \cdot a^4$

So I take equation 2 and divide it be equation 1 I get:

$\frac{10}{5}=\frac{P_0 \cdot a_4}{P_0 \cdot a_2}$

Simplifying:

$2=a^2$

Since the base for an exponential function can't be negative then $a=\sqrt{2}$ .

So plugging into one of my equations I began with gives me an equation to solve for the initial value, $P_0$ :

$5=P_0 \cdot (\sqrt{2})^2$

$5=P_0 \cdot 2$

Divide both sides by 2:

$\frac{5}{2}=P_0$

The function is:

$P(t)=\frac{5}{2} \cdot (\sqrt{2})^t$

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3 years ago

What two numbers add together give me -9 but multiply together give me 18

Firdavs [7]

Answer:

one number is -6 and other is-3

Step-by-step explanation:

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3 years ago

The carnival committee has purchased 985 small prizes. The prizes are to be divided equally among the 29 game booths

Vladimir [108]

Answer:

1 The first digit of the quotient is 3

2. 34 prizes per booth

3. 19 prizes left over

Step-by-step explanation:

We need to divide 985 by 29

29 goes into 98 3 times

29*3 = 87 with 13 left over

135 divided by 29

29*4 =116 135-116 =19

985÷29 = 34 with 19 left over

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3 years ago

What’s the answer to this

Aliun [14]

Answer:

v=9

Step-by-step explanation:

50 + x =180

x=130

130+(6v-4)= 180 (subtract 126 from each side)

6v=54 (divide by 6)

v=9

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3 years ago

Write the equation of the line based on the given information explain the answer in slope intercept form

Butoxors [25]

Answer:

y = 2/3 x - 3

Step-by-step explanation:

substitute the given slope and the coordinate into the slope-intercpet form:

y = mx + b to solve for b,

-1 = 2/3(3) + b

=> b = -3

y = 2/3 x - 3

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3 years ago