MATHEMATICS HIGH SCHOOL

Determine the sum: 26.5 × 104 + 9.4 × 104. Write your answer in scientific notation.A. 17.1 × 104

B. 35.9 × 109

C. 3.59 × 105

D. 17.1 × 108

Answers

Answer 1
Answer:

Answer:

\large\boxed{C.\ 3.59*10^5}

Step-by-step explanation:

\text{The scientific notation:}\n\na\cdot10^k,\ \text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}.\n--------------------\n\n\text{We have}\n\n26.5*10^4+9.4*10^4=(26.5+9.4)*10^4=35.9*10^4\n\n=3.59*10*10^4=3.59*10^5

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Answers

Answer:  x = 4

==================================================

Explanation:

Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.

(interior angle C) + (interior angle D) = exterior angle

(46) + (-1+8x) = 18x+5

8x+45 = 18x+5

8x-18x = 5-45

-10x = -40

x = -40/(-10)

x = 4

Simplify: 8x - 6(5x + 6)

Answers

Answer:

-22x-36

Step-by-step explanation:

-6 x 5x = -30x

-6 x 6 =-36

8x - 30x - 36

8x - 30x = - 22x

So, it's -22x - 36.

Answer:

-22 x- 36

Step-by-step explanation:

8x - 6(5x + 6)

-6× 5x= -30x

-6 × 6= -36

8x -30x - 36

-22x - 36

A certain bacteria population is known to quadruples every 150 minutes. Suppose that there are initially 200 bacteria. What is the size of the population after t hours?

Answers

This is a geometric progression
The size of the population afeter t hours will be=a₁*r^n

a₁= the first term =200
r=common ratio=4

150 minutes=150 minutes * (1 hour /60 minutes)=2.5 hours.

In this case:
the size of the populatation after t hours=200*4^t/2.5=200*4^0.4t

To check
 t=0⇒ the size will be=200*4⁰=200*1=200
t=2.5 hours=150 minutes; the size will be =200*4¹=800
t=5 hours; the size will be=200*4²=200*16=3200

Answer: the size will be= 200*4^(0.4t)

Final answer:

The growth of the bacteria is represented by the exponential growth equation. Given the initial population, the four-fold increase, and the time interval for the increase, we can find the population after any given time by using the equation P = 200 * 4^(t/2.5).

Explanation:

The problem given is an example of an exponential growth problem. For these types of problems, we use the formula P = P0 * e^(kt), where P is the final population, P0 is the initial population, k is the growth rate, and t is time. However, in this case, we were given that the bacteria quadruples, meaning 'quadrupling' is not a continuous rate, so we use a slightly different form of the equation: P = P0 * (b)^(t/t0), where b is the times increase and t0 is the time interval for the b-fold increase.

Given that the initial population P0 is 200 bacteria, b is 4 because the population quadruples every 150 minutes, and time t0 is 150 minutes or 2.5 hours. We need to find the population P after t hours. Substituting these values into our equation gives us: P = 200 * 4^(t/2.5).

So, after t hours, the population of the bacteria will be given by the equation P = 200 * 4^(t/2.5).

Learn more about Exponential Growth here:

brainly.com/question/12490064

#SPJ2

a tree 40 feet high casts a shadow 58 feet long. find the measure of the angle of elevation pf the sun.

Answers

163 is the answer for me
but if its not right just message me

There are 10 vehicles in a parking lot: 3 SUVs and 7 trucks. What is the probability that any 7 randomly chosen parking spots have 2 SUVs and 5 trucks OR 3 SUVs and 4 trucks?

Answers

We have to calculate the probability that any randomly choosen parking spots have 2 SUVs and 5 trucks or 3 SUVs and 4 trucks. We will use the formula with combinations: P = ( 3C2 * 7C5 ) / ( 10C7) + ( 3C3 * 4C7) / ( 10C7). For example: 10C7 = 10! / 7!*(10-7)! = 10!/7!*3!= 10*9*8/3*2*1 = 120, etc. P = ( 3 * 21 ) / 120 + ( 1 * 35 ) / 120 = 63 / 120 + 35 / 120 = 98 / 120 = 0.8166. Answer: The probability is 0.8166 or 81.66%.

Write an expression to represent the volume of the composite figure, 1in 1in 3in 5in 3in

Answers

1 to the power of 2
Times
3 to the power of 2
Times
5

Answer:

1 to the power of 2

Times

3 to the power of 2

Times  

5

Step-by-step explanation:
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