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scoray [572]
3 years ago
9

Calculate the distance between (7, 12) and (7, -8) without using the distance formula

Mathematics
1 answer:
Reil [10]3 years ago
6 0
Since the X is the same in both you only need to add the 2 Y's to get the distance

12 to 0 = 12, 0 to -8 = 8, 12 +8 = 20

 the distance is 20

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A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16
bixtya [17]

Answer:

6,430\ bacteria

Step-by-step explanation:

we have a exponential function of the form

y=a(1+r)^{x}

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

y=3,000(1+r)^{x}

For x=2, y=3,300

substitute

3,300=3,000(1+r)^{2}

(3,300/3,000)=(1+r)^{2}

Apply square root both sides

1+r=\sqrt{3.3/3}

r=\sqrt{3.3/3}-1

r=0.0488

r=4.88\%

substitute in the equation

y=3,000(1+0.0488)^{x}

y=3,000(1.0488)^{x}

<u><em>Predict how many bacteria will be present after 16 hours</em></u>

For x=16 hours

substitute

y=3,000(1.0488)^{16}

y=6,430\ bacteria

6 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%3F%7D%7B%3F%7D%207" id="TexFormula1" title=" \frac{?}{?} 7" alt=" \frac{?}{?} 7"
belka [17]
Hi, I'd be glad to help you with this equation. 

The answer is (33/43) 

Hope this helps. 
Have a great day!
3 0
3 years ago
A model is made of a car. the car is 10 feet long and the model is 7 inches long. what is the ratio of the length of the car to
Stells [14]

hey!

Answer: 120:7

Hope this helps!

~LENA~

5 0
4 years ago
Which equation, together with y = -1.5x + 3, makes a system with one solution?
lawyer [7]
The answer I believe would be 2Y + 3x=6
6 0
3 years ago
4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The
a_sh-v [17]
4.) The lateral area of a figure is the area of the figure with the exception of the bases.
Given a prism with right triangle bases, the lateral area of the prism is the sum of the areas of the rectangles making up the prism.
This is given by
Lateral area = (8.94)(41) + (4)(41) + (8)(41) = 366.54 + 164 + 328 = 858.54 ≈ 859 m^2

The surface area is the sum of the bases plus the lateral area. The area of a rectangle is given by half base times height.
Surface area = 1/2 x 8 x 4 + 1/2 x 8 x 4 + 859 = 16 + 16 + 859 = 891 m^2

5.) The surface area of a cylinder is given by pi r^2h where r is the radius = 12 inches and h is the height = 17 inches.
Surface area = π x (12)^2 x 17 = 2,448π = 7,690.62 in^2 ≈ 7,691 in^2
3 0
3 years ago
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