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wolverine [178]
3 years ago
8

Red Hook High School has 480 freshmen. Of those freshmen, 333 take Algebra, 306 take Biology, and 188 take both Algebra and Biol

ogy. Which of the following represents the number of freshmen who take at least one of these two classes?
a
639
b
384
c
451
d
425
Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0
The answer is c
Explain
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3.000x10^2+6.000x10^5
hjlf
600300 or 6.003x10^5

3.000= 3 , 6.000= 6

3 x 10^2 = 3 x 100 = 300
6 x 10^5 = 6 x 100000 = 600000
600,000 + 300 = 600300
4 0
3 years ago
A biologist determined that the quantity of bacteria in a petri dish decreases by half every day of the study. If there were 8 g
Anna [14]
The sender is .75 grams
3 0
3 years ago
Suppose that an object moves along the y-axis so that its location is y=x2+3x at time x. (Here y is in meters and x is in second
vfiekz [6]

Answer:

a) 13 m/s

b) (15  + h) m/s

c) 15 m/s

Step-by-step explanation:

if the location is

y=x²+3*x

then the average velocity from 3 to 7 is

Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s

then the average velocity from x=6 to to x=6+h

Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s

the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then

when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s

then v= 15 m/s

also can be found taking the derivative of y in x=6

v=dy/dx=2*x+3

for x=6

v=dy/dx=2*6+3 = 12+3=15 m/s

7 0
3 years ago
Write an equation of a line that passes through (-12, -14) with slope 6.
damaskus [11]

The slope intercept form of a line is y = mx + b

  • m = slope
  • b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

  • y = 6x + b
  • We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

  • -14 = 6(-12) + b

Solve for b to find the y-intercept.

  • -14 = -72 + b
  • 58 = b

Your new equation (your answer) is<em> </em>y = 6x + 58.

6 0
3 years ago
Find the shorter base of a trapezoid if the trapezoid's area is 52, its altitude is 8, and its longer basis 10.
DiKsa [7]

Answer:

The shorter base is 3

Step-by-step explanation:

a =  \frac{(b1 + b2)}{2}  \times h

52 =  \frac{(10 + b2)}{2}  \times 8

b2 = 3

8 0
2 years ago
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