CPM homework 8.1.2 problem 8-19

George will arrive 20 minutes before Max

It takes Max 3 hours(180 minutes) to run 30 km .

The rate can be calculated as follows:

rate = 30 / 180 = 1/6 km/ min

George uses 2 hours 20 minutes(140 minutes) to run 30 km.

The rate can be calculated as follows:

rate =  30 / 140 = 3/14 km / min

If both are to complete a 15-kilometre race, Therefore,

Max time will  be

1 / 6 = 15 / t

t = 15 × 6

t = 90 minutes

George time will be

3/14 = 15 / t

3t = 210

t = 210 / 3

t = 70 minutes

Time difference = 90  - 70 = 20 minutes

Therefore, George will arrive 20 minutes earlier than Max

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Answer:

12.6 cups

Step-by-step explanation:

each liter has 4.2 cups so if you just multiply it by 3 you will get 12.6. cups.

There isn't any subset of the ai's that adds up to t.

Algorithm: Initialize a boolean array B of size (t + 1) × (n + 1).

Then, set all the elements of the first column (0th column) to true.

Now, using nested loops with indices i and s, for i = 1 to n and s = 1 to t (inclusive), do the following:

If s < a_i, then set B[s][i] = B[s][i - 1].

Otherwise, set B[s][i] = B[s][i - 1] OR B[s - a_i][i - 1].If the value of B[t][n] is true, then there is a subset of the ai's that adds up to t. Otherwise, there isn't any subset of the ai's that adds up to t.

The given algorithm uses dynamic programming approach to solve the given task by using subproblems of the form "does a subset of sai,a2,...,ai) add up to s?".

It runs in O(nt) time complexity because it uses a boolean array of size (t + 1) × (n + 1) and loops through all the indices of this array exactly once.

Thus, the time complexity of this algorithm is O(nt).

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Answer:

2267676767/1000000000

Step-by-step explanation:

To write 2.267676767 as a fraction you have to write 2.267676767 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.267676767 = 2.267676767/1 = 22.67676767/10 = 226.7676767/100 = 2267.676767/1000 = 22676.76767/10000 = 226767.6767/100000 = 2267676.767/1000000 = 22676767.67/10000000 = 226767676.7/100000000 = 2267676767/1000000000

And finally we have:

2.267676767 as a fraction equals 2267676767/1000000000

Hope it helps.. If yes mark me BRAINLIEST!!

TYSM!

Answer:

2267676767/1000000000

Step-by-step explanation:

when converting a decimal to fraction,

write down the decimal divided by 1 and than add as many zeros as the digits after the decimal point.

since we have nine digits after the decimal point  nine zeros are put after the '1'

Answer:

6 ^ 6

Step-by-step explanation:

hope this helps!

\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: C. \:{6}^{5} }}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( {6}^{2} \times {6}^{3} \)

➺\( \: {6}^{2 + 3} \)

➺\( \: {6}^{5} \)

\( {a}^{m} \times {a}^{n} = {a}^{m + n} \)

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}\)

9. The region that shows the possible combination of DVD and videos that Tyler's shelf can hold is

10. The point on the inequality y < x + 1 and y ≥ -x - 1  is

The solution of inequality graph corresponds to the shaded part of the graph.

For the graph in the first problem the solution is where the two graphs have their shading blended.

For an inequality that has 'less than' where the equation is set such that y is the subject of formula then the shading is below the line. using this as a guide the region that shows the solution of the first graph is region 1

The solution of the equation is gotten by substituting the values to the given equation and this shows that the solution is (0, 0)

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Answer:

it is the second choice, because if you read the questions out loud then the second one is the way you would read it.

Answer:

n = 3

Step-by-step explanation:

\(3(4 + n) = n + 18 \\ 12 + 3n = n + 18 \\ 2n = 6 \\ n = 3\)

The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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Answer:

B

using SOHCAHTOA

COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3

Answer:

B.

Step-by-step explanation:

First, note that since \(sin(\theta)=2/3\), this means that the opposite side is 2, the hypotenuse is 3, and the last, adjacent side is \(\sqrt{5\\\).

Also note that we are told that \(sec(\theta)<0\). This means that \(\theta\) cannot be in quadrants 1 nor 4 because (remember All Students Take Calculus?) in those quadrants cosine and secant are positive. Also, we know that sine is positive so we can conclude that \(\theta\) is in the second quadrant.

In the second quadrant, sine is positive, cosine is negative, and tangent is negative. Now we can answer the question. We already know the side lengths: opposite=2, adjacent=\(-\sqrt{5}\) (because it's in Quadrant II), and hypotenuse=3.

Therefore...

\(cos(\theta)=-\sqrt{5} /3\)

\(tan(\theta)=2/(-\sqrt{5})=-(2\sqrt{5}/5)\)

Answer:

The total price to pay is $95.718.

Step-by-step explanation:

Solve for the total cost of the entrees first

$35(3) = $105

Taking off 14%, that means that the customer is only to pay

100% - 14% = 86% of the total price or 0.86 in decimal

Discounted price = $105(0.86)

Discounted price = $90.30

Lastly, add the 6% sales tax or 0.06 in decimal

Total price = $90.30(1.06)

Total price = $95.718

Answer: Therefore, the y value rounded to the nearest tenth is 47.9.

Step-by-step explanation:

To find the value of y, you can use the trigonometric function tangent (tan). First, find the angle between the y-side and the hypotenuse by subtracting the given grades from 180°:

180° - 42° - 85° = 53°

Then, use this angle and the opposite side (31) to solve for y:

tan(53°) = y/31

y = 31 * tan(53°)

y ≈ 47.9

Therefore, the value of y rounded to the nearest tenth is 47.9.

The domain is the set of all possible inputs. The range is the set of all possible outputs. For any set, each item is listed once so we'll toss any duplicates that may happen. The order of each set doesn't matter.

Because the input x = 2 leads to more than one output (y = 20 and y = 40 simultaneously), this means we do not have a function. A function is only possible if any given input in the domain leads to exactly one output in the range.

Answer:

each would take about 8 hours. all youd need to do is divide 100 kilo by 12 because thats how much he runs in one hour. so 100 kilometers per week would take 8.3, which is rounded to ~about~ 8

The true statement is Each treadmill session takes about 2 hours.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

He runs at a constant speed of 12 kilometers per hour for 5 days per week.

If he runs 100 kilometers per week

So, each day he runs

= 100 /5

= 20 Km

and, he runs 20 Km in

= 20 /12

= 1.666

= 2 hours approximately.

Hence, Each treadmill session takes about 2 hours.

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The child tickets were sold that day is 82.

Given the cost of child admission $6.30 and the cost of adult admission $9.80 and on Wednesday 144 tickets were sold for a total sales of $1124.20.

Let the child tickets are x and adult tickets are y.

On Monday, 144 tickets were sold for a total sales.

x+y=144              ........(1)

Total sales = $1124.20

Need to find the child tickets sold on Wednesday.

Total sales = 6.30x+9.80y

Total sales = $1124.20

So,6.30x+9.80y=1124.20                        .......(2)

Find the value of y from equation (1), we get

x+y-x=144-x

y=144-x

Now, we will substitute the value of y in equation (2) to find the value of x, we get

6.30x+9.80(144-x)=1124.20

Apply the distributive property that is a(b+c)=ab+ac, we get

6.30x+9.80×144-9.80x=1124.20

6.30x+1411.2-9.80x=1124.20

Combine the variable terms on left side, we get

1411.2-3.5x=1124.20

subtract 1411.2 from both sides, we get

1411.2-3.5x-1411.2=1124.20-1411.2

-3.5x=-287

Divide both sides with -3.5x, we get

-3.5x/(-3.5)=-287/(-3.5)

x=82

Therefore, 82 child tickets were sold on Wednesday when cost of child admission $6.30 and the cost of adult admission $9.80.

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Answer:

(4w^2+180w+1800) meters^2

Explanation:

(60+2w) x (30+2w)

1800+120w+4w^2+60w

Combine like terms and rearrange into quadratic equation

4w^2+180w+1800

Don't forget to put your units and since we are talking about area be sure to add your squared symbol

Answer:

B

Step-by-step explanation:

According to the question The volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).

To find the volume of the solid obtained by rotating the region bounded by the curves \(x = 6 - 3y$, $x = 0$, and $y = 3$\) about the \($y$\)-axis, we can use the method of cylindrical shells.

The height of each cylindrical shell is the difference between the two curves, which is given by \($(6 - 3y) - 0 = 6 - 3y$\)

The radius of each cylindrical shell is the distance from the \($y$\)-axis, which is simply \($y$\).

The differential volume of each cylindrical shell is then given by \(dV = 2\pi y(6 - 3y) \, dy$.\)

To find the total volume, we integrate the differential volume from \(y = 0$ to $y = 3$:\)

\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)

To solve the integral, let's integrate the expression step by step:

\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)

Expanding the expression, we have:

\($V = \int_{0}^{3} 12\pi y - 6\pi y^2 \, dy$\)

Integrating term by term, we get:

\($V = \left[6\pi \left(\frac{1}{2}y^2\right) - 2\pi \left(\frac{1}{3}y^3\right)\right] \bigg|_{0}^{3}$\)

Simplifying further:

\($V = \left[3\pi y^2 - \frac{2}{3}\pi y^3\right] \bigg|_{0}^{3}$\)

Plugging in the limits of integration:

\($V = \left[3\pi \cdot 3^2 - \frac{2}{3}\pi \cdot 3^3\right] - \left[3\pi \cdot 0^2 - \frac{2}{3}\pi \cdot 0^3\right]$\)

Simplifying:

\($V = \left[27\pi - 27\pi\right] - \left[0 - 0\right]$\)

\($V = 0$\)

Therefore, the volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53\)

Answer:

Part A: 12 + X

Step-by-step explanation:

Part A - He earned $12 for walking the dogs on Saturday and Bill did the same thing on Sunday but it just says he earned extra money so X = unknown number so its 12 + X

TRUE. We can observe n coin flips, record each heads as 1, and each tails as 0. Then, sum up all of our 1s and 0s, divide by n (in other words, we calculate the sample mean), and we have just calculated the sample proportion p-hat. This is a method used to find the probability of an event.

The sample proportion is known as p-hat. The proportion of successes in the sample is denoted by the p-hat symbol. The sample proportion is a statistic that estimates the actual proportion of the population. The proportion of successes in a sample is referred to as the sample proportion.

When sample proportion represents a percentage, it is indicated as a percentage (x%). So, sample proportion p-hat is a statistical term that provides us with an estimate of the actual proportion of the population from the sample proportion.

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\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ \)

length[l]=\( \frac{5}{3} cm\)

breadth [b]=\( \frac{3}{2} cm\)

height[h]=\( \frac{4}{5} cm\)

now

volume of cuboid=l×b×h=\( \frac{5}{3} \times \frac{3}{2} \times \frac{4}{5} \)

=2cm³is your answer.

Step-by-step explanation:

hope it is helpful to you

Answer:

-7

Step-by-step explanation:

4-11=-7

Sample answer:

Step-by-step explanation: (My answer)

1) Subtract 8.5 and 3.5, that equals 12.

\(8.5x - 3.5x = -78\)

2) Multiply 78 and 12, that equals 6.5 .

\(\frac{12x}{12} = \frac{78}{12}\)

3) Check your answer.

\(-8.5 (6.5) -3.5 (6.5) = -78\)

Once you've done that, the answer you should get is 78.

78 is equal to 78, that is your final answer and it is correct.

Answer:

(c) have a great day

Step-by-step explanation:

Answer:

Step-by-step explanation:

10,000 x 12% = 1,200

10,000 + 1,200 = 11,200

There are 60 months in 5 years

11,200 ÷ 60 = $186.67

None of these responses is correct