What is the next number in this sequence? 2, 16, 128, 1024

Natalie pick 235 berries in 15 minutes at that rate how long will it take to pick 486 berries

alisha [4.7K]

31 minutes is the answer

5 0

3 years ago

HELP PLSSS THIS IS HARD SOMEONE

Leto [7]

Letter c

Explanation:it can be disolve or dis-solve in some situation that cqn be related to 1yc-34amc{34x4’2

8 0

3 years ago

a plane travels at a speed of 180 mph in still air. flying with a tailwind, the plane is clocked over a distance of 700 miles. f

galben [10]

<h3>Answer: approximately 43.57337308309 mph</h3>

Round this value however you need to

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Explanation:

w = speed of the wind

The plane travels at a speed of 180 mph in still air. With a tailwind, the plane speeds up (the wind is coming from the tail to push the plane forward more), so the plane is now traveling at a speed of 180+w miles per hour. It travels 700 miles

d = r*t

700 = (180+w)*t

t = 700/(180+w)

This is the time it takes when the wind speeds up the plane.

In contrast, the headwind slows the plane down because now the wind is going against the plane. Headwinds attack the head of the plane and push against the plane. With a headwind, the plane is now going 180-w miles per hour. It travels for 2 hours longer to do the return trip (of 700 miles), so,

d = r*t

700 = (180-w)*(t+2)

700 = 180t + 360 - w*t - 2w

700 = 180( 700/(180+w) ) + 360 - w*( 700/(180+w) ) - 2w

700 = 126000/(180+w) + 360 - 700w/(180+w) - 2w

700(180+w) = 126000 + 360(180+w) - 700w - 2w(180+w)

126000+700w = 126000+64800+360w-700w-360w-2w^2

126000+700w = -2w^2 - 700w + 190800

-2w^2 - 700w + 190800 = 126000+700w

-2w^2 - 700w + 190800 - 126000-700w = 0

-2w^2 - 1400w + 64800 = 0

Use a graphing calculator or the quadratic formula to find the approximate solutions are

w = -743.5733730831, w = 43.57337308309

Ignore the negative value as it makes no sense to have a negative wind speed.

The only practical answer is approximately 43.57337308309 mph

4 0

4 years ago

Hannah invested $4000 in a savings account that that earned 2% interest compounded quarterly. she determined that if she does no

Svetach [21]

Answer:

Her account balance after 3 years is $4,246.71

Step-by-step explanation:

In this question, we are tasked with calculating what Hannah's account balance will be after 3 years and the error she made in her calculations

Mathematically, to calculate the account balance after 3 years, we use the formula for the compound interest as follows.

Mathematically, the amount A earned on a compound interest is calculated as

A = P $(1+r/n)^{nt}$

where A is the account balance after the number of years which is what we want to know

P is the initial amount invested which is $4000

r is the interest rate which is 2%(2/100 = 0.02) according to the question

n is the number of times interest is compounded per year which is 4(quarterly means every 3 months)

t is the number of years which is 3

We plug the values into the question;

A = 4000(1 + 0.02/4)^(3)(4)

A = 4000(1+0.005)^12

A = 4000(1.005)^12

A = $4,246.71

P.S ; I do not see Hannah's calculation and as such I cannot spot where she made the error in her calculations

5 0

4 years ago

Quintin is participating in a walkathon. He writes the equation m = 8d + 6 to represent the amount of money he collects from eac

Lera25 [3.4K]

Answer:

8 represents the rate of change while 6 represents the initial value

Step-by-step explanation:

For every additional kilometer d that we walks, d increases by 1 and m increases by 8 times d. So 8 represents the rate of change.

At d = 0, meaning d = 0, m = 8*0 + 6 = 6. So he gets 6 at before having to walk. So 6 represents the initial value

8 0

3 years ago