MATHEMATICS HIGH SCHOOL

The doubling time of a population of grasshoppers is 10 days. By what factor does the population of grasshoppers grow in 35 days?

Answers

Answer 1
Answer: so in 10 days the grasshopper (x) is doubled (2x)
20 days it is 2(2x) or 4x
30 days it is 2(4x) or 8x
in 35 days it is 1/2 of 10 so 1/2 times 2 times 8x=8x

it increased by a factor of 8
Answer 2
Answer:

The correct answer is:

11.3

Explanation:

In 10 days, the population x would double, becoming 2x.

Every 10 days after, the population would double again. This means at 20 days, the population would be 2(2x) = 4x, and at 30 days, the population would be 2(4x) = 2(2(2x)) = 8x.

Writing the repeated multiplication out, we see that this can be represented with exponents. 10 days would be 2¹(x); 20 days would be 2²(x); 30 days would be 2³(x).

5 days would not be adding a whole number to the exponent, as it is only half of the time it takes to double. This means we would add 0.5 to the exponent; this would make 35 days

2^(3.5)(x), which comes out to 11.3x. This means it increases by a factor of 11.3 in 35 days.

Related Questions

What’s the measure of ACD
(Need ASP)Divide.(4x3+2x+1)÷(x+1)4x2−4x+6+5x+14x2+4x−6−5x+14x2−4x+6−5x+14x2+4x+6−5x+1
Rewrite the equation in vertex form: y=x^2-8x+13
Organize the following polynomial expressions from least to greatest based on their degree:6x218x3 + 5ab - 6y8a - 54x3y + 3x2 - xy - 4III, I, IV, IIIV, II, I, IIIIII, I, II, IVIV, I, II, III
find the volume of the cone shown as a decimal rounded to the nearest tenth hight is 16th and radius is 8 yd?

Captionless Image
(1/3,0)
(0,-2)
(0, 1/3)
(-2,0)

Answers

Answer:

not getting your question

What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54, respectively?

Answers

Hi there! T4=T2×r²,6r²=54. Therefore, the answer would be 3.
a₂ = 6      a₄ = 54

a_(n) = q^(n-1) * a_(1) 

\left \{ {{ a_(2) = q^(2-1) * a_(1) } \atop { a_(4) = q^(4-1)* a_(1) }} \right. \n \n \left \{ {{6 = q * a_(1) } \atop {54 = q^(3) * a_(1) }} \right. \n \n \left \{ {{ a_(1) = (6)/(q) } \atop {54 = q^(3) * (6)/(q) }} \right. \n \n \left \{ {{ a_(1) = (6)/(q) } \atop {54 = q^(2) * 6 }} \right. 

\left \{ {{ a_(1) = (6)/(q) } \atop { q^(2) =9}} \right. \n \n \left \{ {{ a_(1) = (6)/(q) } \atop {q= √(9) }} \right. 
q = 3     q = -3

a₁ = 6/3 = 2   a₁ = 6/-3 = -2

Determine whether each expression is equivalent to −9.8+(−4.3).Select Yes or No for each expression.
−9.8−4.3
Yes
No
−9.8+(−0.2)+(−4.1)
Yes
No
−9.8−0.2+4.1
Yes
No
−9.8+(−0.2−4.5)
Yes
No
−9.8+0.2−4.5
Yes
No

Answers

a=yes
b=yes
c=no
d=no
e=yes

Answer:

^^^^

Step-by-step explanation:

Max scored 9 runs on Monday and 11 runs on Tuesday. How many runs did he score in all?

Answers

The totalrun he scored in all would be 20.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that max scored 9 runs on Monday and 11 runs on Tuesday.

We need to find the total number of scores he runs in all.

The run scored on Monday = 9

The run scored on Tuesday= 11

The total = run scored on Monday +  run scored on Tuesday

The total = 9 + 11 = 20

The totalscore he runs in all would be 20.

To learn more about the unitary method, please visit the link given below;

brainly.com/question/23423168

#SPJ2
Out of those two days ? 20 runs

Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work up to 20 hours per week but must earn at least $150 per week. If t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? A.) t + b greater than or equal to 20 15t + 8b = 150

B.) t + b less than or equal to 20 15t + 8b greater than or equal to 150

C.) t + b less than or equal to 20 15t + 8b less than or equal to 150

D.) None of the systems shown represent this scenario.

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

Earning for tutoring per hour = 15$

Earning for bag boy per hour = 8$

We have Nick is only able to work up to 20 hours per week but must earn at least $150 per week and t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy.

Nick is only able to work up to 20 hours per week

                     t + b ≤ 20

But must earn at least $150 per week

                    15 t + 8 b ≥ 150

Option B is the correct answer.
The answer is B.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

The regular price for a pair of shoes is $48. The store is having a buy one get one off sale. If you buy 2 pairs of shoes for that price, what percent discount is that?

Answers

10 because 40 - 8 would be 37 and there are 37 shoes therefore that's your answer
Other Questions
Eric has saved $18,300 toward a down payment on a house. He makes a salary of $59,750 a year. What is the maximum he could afford to borrow to buy a house?a) $90,500 b) $101,200 c) $119,500 d) $137,800
10 times the square of a nonzero number is equal to 90 times the number. whats the number?
2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?
One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number.