-7 1/3 divided by 4 1/4 in mixed number.

Find total mass:

Human: 65 kg x 6,840,000,000 = 444,600,000,000 kg

Ants: 4x10^-3 = 0.004g

0.004 x 10,000,000,000,000,000 = 40,000,000,000,000g

Divide total grams by 1000 to get kegs:

40,000,000,000,000 /1000 = 40,000,000,000 kgs.

Divide total mass of humans by total mass of ants:

444,600,000,000 / 40,000,000,000 = 11.115

Mass of humans is 11.115 times more than ants.

Rounded to the nearest whole number = 11 times more.

Answer:

\(CI=189.5,194.5\)

Step-by-step explanation:

From the question we are told that:

Sample size \(n=40\)

Mean \(\=x =192\)

Standard deviation\(\sigma=8\)

Significance Level \(\alpha=0.05\)

From table

Critical Value of \(Z=1.96\)

Generally the equation for momentum is mathematically given by

 \(CI =\=x \pm z_(a/2) \frac{\sigma}{\sqrt{n}}\)

 \(CI =192 \pm 1.96 \frac{8}{\sqrt{40}}\)

 \(CI=192 \pm 2.479\)

 \(CI=189.5,194.5\)

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

Answer:7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days. Hope this helps! jul15

Step-by-step explanation:

The restrictions for x and y are given as follows:

3. x ∈ W, y ∈ W.

5. x ∈ W, y ∈ W.

To obtain the restrictions, the first step is classifying the variables as either discrete or continuous, as follows:

In this problem, the variables are both resumed as follows:

Number of tickets sold in the Super Bowl.

The possible values are given as follows:

0, 1, 2, ...

Which are countable values, hence discrete, and that also cannot assume negative values, hence they belong to the whole set and not the integer set, thus the restrictions are:

x ∈ W, y ∈ W.

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To beat the school long jump record, John must jump an additional 5 1/4 inches

From the given question, we are to determine how farther John must jump in order to break the record

From the given information,

"A high school track team's long jump record is 23 ft 1 3/4 in"

and

"John's best long jump is 22 ft 8 1/2 in"

First, we will convert the distances to inches

NOTE: 1 ft = 12 inches

23 ft 1 3/4 in = 276 + 1 3/4 in = 277 3/4 in

22 ft 8 1/2 in = 264 + 8 1/2 in = 272 1/2 in

Now, to determine how farther John must jump, we will subtract the distances

277 3/4 in - 272 1/2 in = 5 1/4 in

Hence, he must jump 5 1/4 in farther

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-63. Hope this helps!

Can have brainliest?

Answer:

-63

Step-by-step explanation:

If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.

Answer:

Second inequality is
12x + 16y ≥ 460

We also have implied inequalities x ≥ 0, y ≥ 0 meaning hours cannot be negative

Step-by-step explanation:

The other equality refers to the earnings

Let x be the hours worked in the first job
Earnings at $12 per hour = 12x

Let y be the hours worked in the second job
Earnings at $16 per hour = 16y

Total earnings = 12x + 16y
This must be at least $460
"at least" means ≥

So second inequality is
12x + 16y ≥ 460

Answer:

No. Dividing by 0 is not rational, no number works.

Answer:

Pspskdosospdıjdd8euödlchcldhcosıdpsuxkx

Answer:

15 nights

Step-by-step explanation:

187+26n=577

-187          -187

     26n=390

divide 26 on both sides

         n=15

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

Mathematical induction is a method used to prove statements for all positive integers.

To prove the formula 1 + 2 + 3 + ... + (n-1) + n = n(n+1)/2 using induction,

we first show it holds for the base case n = 1.

When n = 1, the formula becomes 1 = 1(1+1)/2, which is true.

Then, we assume the formula holds for some integer k, and prove it holds for k+1.

Inductive step: Assume that the formula holds for some integer k, i.e., 1 + 2 + ... + (k-1) + k = k(k+1)/2. We need to prove that the formula also holds for k+1.

So, 1 + 2 + ... + (k-1) + k + (k+1) = k(k+1)/2 + (k+1) = (k+1)(k+2)/2, which shows that the formula holds for k+1 as well.

By repeating this process, we conclude the formula holds for all positive integers.

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Answer:

x = 1

Step-by-step explanation:

Simply solve for x in the given equation

0.2(x + 1) + 0.5x = -0.3( x - 4)

Distribute the 0.2 and -0.3 to what is inside the fraction

0.2x + 0.2 + 0.5x = -0.3x + 1.2

Combine like terms

0.7x + 0.2 = -0.3x + 1.2

move all the variables to one side of the equation

1.0x = 1

then solve for x

x = 1

Answer:

Step-by-step explanation:

Compare same to same, make ratios (they look like fractions) cross multiply to solve.

Small/Large

=10/15 = 2/3

2/3 = 12/m

18 = m

2/3 = AB/24

16 = AB

2/3 = 13/WZ

19.5 = WZ

Answer:

25%

Step-by-step explanation:

We know that 200 = to 100% and that 50 is 1/4 of 200 and we know that 1/4 is .25 which in percentage terms is 25% so that is your answer

Answer:

aₙ = 40*(1/2)ⁿ⁻¹

Step-by-step explanation:

As per graph we have:

So the first term is 40 and common ratio is

Formula for nth term is:

Answer:

Y=-4x 2

Step-by-step explanation:

I'm guessing 3 rounds means 3 times around?

diameter = 280

circumference = dπ = 280π

280π x 3 = 840π

If you want it rounded it's about 2638.94 :)

4, 5 and 40 are the values of a, b and p respectively.

Quadratic equations are equations that has a leading degree of 2. Given the expression below:

(ax +b)² = 16x² + px + 25

Expand the left hand side of the expression.

(ax +b)² = 16x² + px + 25

a²x²+2axb+b² = 16x² + px + 25

Compare the terms of the expression:

a²x² = 16x²

a² = 16

a = 4

b² = 25

b = 5

Similarly;

2axb = px

2ab = p

p = 2(4)(5)

p = 40

Hence the value of a, b and p from the expression are 4, 5 and 40 respectively.

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Answer:

Let s = his speed on the outbound trip

Then s + 20 = his speed on the return trip

Let t = his travel time on the outbound trip

Then t - 10 = his travel time for the return trip

Given: d = 750

Since distance = speed x time, for the two trips we have

750 = s*t

750 = (s+20)(t-10)

Solve for t in the 1st equation, substitute in the 2nd:

750 = (s+20)(750/s-10)

Solve for s:

750 = 750 - 10s + 15000/s - 200

Simplify:

s^2 + 20s - 1500 = 0

Factor:

(s+50)(s-30) = 0

Take the positive solution, s = 30

So the rates are 30 kph and 50 kph

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_a(2)=f\hspace{5em} \log_a(3)=g\hspace{5em}\log_a(5)=h \\\\\\ 2^f=a\hspace{8em}3^g=a\hspace{7em}5^h=a\)

Answer:

Part A: First you distribute the 6(2x-11) and simplify. Then, you get the variables on the same side by subtracting 3x. Next, you do inverse operations by adding 51 to both sides and dividing 9 from both sides

Part B: x=7

Step-by-step explanation:

First thing you should do is distribute out the 6(2x-11) to get 12x-66+15=3x+12. then you simplify to get 12x-51=3x+12. Next you need to get both variable on the same side so just to keep positive number to make it easier you will subtract 3x from both sides to get 9x-51=12. now it is simple algebra where you add 51 to both sides of the equation to get 9x=63. Finally, you divide both sides by 9 to get x=7

Answer:

Yes it its!!! It goes on for a long time!! Keep that in mind when you are doing problems like this!  

:)

Step-by-step explanation:

Answer:

6.8125

Step-by-step explanation:

Answer:

y=x^2-2

Step-by-step explanation:

this equation is not a linear function because the equation is that of a quadratic function

As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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