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Tanya [424]
2 years ago
14

The ratio of goldfish to gallons of water is 9 to 4.

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
7 0
For every 9 goldfish, there are 4 gallons of water.
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Find the 12th term of thsi sequence 5 12 19
enyata [817]
It's adding 7 each time. So...

5, 12, 19, 26, 33, 40, 47, 54, 61, 68, 75, and

82
4 0
3 years ago
A side of the triangle below has been extended to form an exterior angle of 132 degrees. Find the value of x.
Lemur [1.5K]

Answer:

48°

Step-by-step explanation:

m∠x plus 132° equals 180°, so x equals 180 minus 132, or 48°.

6 0
2 years ago
Help me with these questions
Elena L [17]

Answer: a = 4, b = 163,422

<u>Step-by-step explanation:</u>

P = P_{0} e^{kt}   P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 <em>(converted 21% into a decimal)</em>

t = 36 yrs <em>(2006 - 1970) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

7003 = P_{0} e^{(.21)(36)}

7003 = P_{0} e^{7.56}

7003 = P₀ (1920)

\frac{7003}{1920} = P_{0}

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 <em>(converted 21% into a decimal)</em>

t = 15 yrs <em>(2021 - 2006) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

P = 7003 e^{(.21)(15)}

P = 7003 e^{3.15}

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

<u>Step-by-step explanation:</u>

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0      or      x + 1 = 0

 x = 2          or         x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴     or   e¹ = e¹

TRUE             TRUE

*****************************************

Answer: 0 = ln 1

<u>Step-by-step explanation:</u>

e^{-10} = \frac{1}{e^{10}}

ln(e^{-10}) = ln(\frac{1}{e^{10}})

-10 = ln 1 - 10   <em>log rules say division is subtraction</em>

 0 = ln 1



5 0
2 years ago
If the volume of a cone is 12.56, and the height is 3. What is the radius of the cone? R=
Alina [70]

Answer:

you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60

Step-by-step explanat                      

I hope to help you

5 0
2 years ago
Driving 70 mph, it takes Alicia 2 hours to reach the airport to go on a vacation. It then takes her 2 hours to get to her destin
OLga [1]

She drove 2 hours at 70 miles per hour, so she drove 70 * 2 = 140 miles total.

The jet traveled 400 miles per hour for 2 hours for a total of 400 * 2 = 800 miles.

Total miles = 140 + 800 = 940 miles.

The answer is C.

4 0
3 years ago
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