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artcher [175]
3 years ago
12

A circular Petri dish has a diameter of 10 centimeters. If the dish contains 2,450 bacteria, what is the population density of b

acteria in the fish?
(1) 31 bacteria per square centimeter
(2) 42 bacteria per square centimeter
(3) 48 bacteria per square centimeter
(4) 51 bacteria per square centimeter
Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0
Density=population/area circle, radius=10/2=5 cm
Density=population/(πr²)=2450/(π*5²)≈31
<span>(1) 31 bacteria per square centimeter</span>

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Uncle Jason is twice as old as his nephew Ralph, and 10 years ago he was three times as old as Ralph. Find their present ages.
cluponka [151]

Answer:

40 and 20

Step-by-step explanation:

  • Uncle Jason's age = x
  • Nephew Ralph age = y
<h3>Solution</h3>

<u>Age now:</u>

  • x= 2y

<u>Age 10 years ago: </u>

  • x- 10 = 3(y-10)

<u>Substituting x in the second equation:</u>

  • 2y - 10 = 3y - 30
  • 3y - 2y = 30 -10
  • y = 20

<u>Then, finding x:</u>

  • x= 2y
  • x= 2*20
  • x= 40

<u>Answer:</u> Uncle Jason is 40 and nephew Ralph is 20 years old

7 0
3 years ago
(5, 3) and (8, -2) Write the standard form of the equation of the line that passes through the given points.
Lerok [7]
Slope = (y2 - y1) / (x2 - x1)
(5,3)...x1 = 5 and y1 = 3
(8,-2)..x2 = 8 and y2 = -2
now we sub
slope = (-2 - 3) / (8 - 5) = -5 / 3

y = mx + b
slope(m) = -5/3
use either of ur points..(5,3)...x = 5 and y = 3
now we sub and find b, the y int
3 = -5/3(5) + b
3 = -25/3 + b
3 + 25/3 = b
9/3 + 25/3 = b
34/3 = b

ur equation is y = -5/3x + 34/3...but we need it in standard form

y = -5/3x + 34/3
5/3x + y = 34/3
5x + 3y = 34 <=== standard form
3 0
3 years ago
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At which times could rory phone have been plugged into the charger?select three options
bezimeni [28]

Answer:

6

Step-by-step explanation:

4 0
3 years ago
What is C=6/6+12*180
frozen [14]
C=2161 
.........................
6 0
3 years ago
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Use the given conditions to write an equation for the line in​ point-slope form and general form. Passing through (8 comma negat
miskamm [114]

Answer:

The answer to your question is   y = -5x + 32          point-slope form

                                                      5x + y - 32 = 0      general form

Step-by-step explanation:

Data

(8, -8)

⊥ x - 5y - 6 = 0

Process

1.- Get the slope of the line given

   x - 5y - 6 = 0

   -5y = -x + 6

      y = -x/-5 + 6/-5

      y = x/5 - 6/5

slope = 1/5

slope of the new line -5, because the lines are perpendicular

2.- Get the equation of the new line

          y - y1 = m(x - x1)

          y + 8 = -5(x - 8)

          y + 8 = -5x + 40

          y = -5x + 40 - 8

         y = -5x + 32          point-slope form

Equal to zero to find the general form

         5x + y - 32 = 0      general form

5 0
3 years ago
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