A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 7 hours. Rhonda can paint the same room in 5 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary.

A. 0.08 hours

B. 17.5 hours

C. 6 hours

B. 2.92 hours

The solution to the given recurrent scheme is am = 100(2^n) - 100 for n ≥ 0. This solution is obtained by decomposing the scheme into its homogeneous and inhomogeneous parts and solving each part separately.

For the sets A = {1} and B = {1, 0, ♡}, the set operations are as follows: AUB = {1}, AnB = ∅, AB = {1}, BA = {1}, ACB = ∅, PCA = {1}. For the sets A = {(x,y): x = 13} and B = {(x, y): y = xy}, the set operations are as follows: AUB = A, AB = ∅, B¬A = B, A¹ = U, B AnB = B, where U is the universal set.

To solve the recurrent scheme am+2 - 4am+₁ + 3am = -200, we can decompose it into its homogeneous and inhomogeneous parts. The homogeneous part is given by am+2h - 4am+₁h + 3amh = 0, which has a solution of amh = C1(2^n) + C2(-3^n) for n ≥ 0, where C1 and C2 are constants determined by the initial conditions. The inhomogeneous part is given by am+2i - 4am+₁i + 3ami = -200, which has a particular solution of am = -100. Therefore, the general solution is obtained by adding the homogeneous and particular solutions: am = amh + ami = C1(2^n) + C2(-3^n) - 100.

For the sets A = {1} and B = {1, 0, ♡}, the union AUB is {1}, the intersection AnB is empty (∅), the concatenation AB is {1}, the reverse concatenation BA is {1}, the cartesian product ACB is empty (∅), and the power set PCA is {∅, {1}}. For the sets A = {(x,y): x = 13} and B = {(x, y): y = xy}, the union AUB is A, the intersection AB is empty (∅), the complement of B with respect to A, B¬A, is B, the complement of A, A¹, is the universal set U, and the intersection B AnB is B.

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Answer:

Initial speed is 32 m/s

At uniform speed, acceleration is 0, (a = 0).

When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.

From first equation of motion:

\({ \boxed{ \bf{v = u + at}}} \\ { \tt{(v - u) = at}}\)

substitute:

\({ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \: {ms}^{ - 2} }}\)

from second equation of motion:

\({ \boxed{ \bf{s = ut + \frac{1}{2} a {t}^{2} }}}\)

substitute:

\({ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times {1800}^{2}) }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}\)

125.29 dollars is worth approximately 90.17 euros.

To find out how many euros 125.29 dollars is worth, we can use the conversion rate between the US dollar and the euro. Given that one US dollar is worth 0.72 euro, we can set up a proportion to solve for the unknown value:

1 dollar / 0.72 euro = 125.29 dollars / x euro

To solve for x, we cross-multiply and divide:

1 * x = 0.72 * 125.29

x = (0.72 * 125.29) / 1

x ≈ 90.17

It's important to note that exchange rates can fluctuate, so the conversion rate mentioned here might not reflect the current rate. It's always recommended to check for the most up-to-date exchange rate when conducting currency conversions.

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Answer: y = x - 3

Step-by-step explanation:

y-intercept = -3

(0,-3) (4, 1)

m = (x₂ - x₁) / (y₂ - y₁)

m = (4 - 0) / (1 - (-3))

m = 4 / 4

m = 1

y = 1x -3

y = x - 3

1) In the context of statistics, the term "normal" is referred to a distribution of the data that follows the characteristic of the Normal distribution: symmetrical and bell shaped.

It was named "normal" distribution because it represents many distributions of measures in nature. But it does not represent what is normal or not in all the possible contexts.

2) If we graph the histogram of the data, we can check if the distribution is normal-like byb looking at those two characteristics: how symmetric is the distribution of the data around the mean (the more symmetric, the closer to the normal distribution) and the shape of the distribution (it should be bell-shaped, with more data around the mean and less on the tails).

The interquartile range is a more stable measure of variation than the range because it is less influenced by extreme values or outliers, providing a more accurate representation of the typical spread of the data.

The interquartile range (IQR) is considered a more stable measure of variation compared to the range because it is less influenced by extreme values or outliers in the data set.

The range is defined as the difference between the maximum and minimum values in a data set. While it provides a simple measure of the spread of the data, it is highly sensitive to outliers. Even a single extreme value can significantly impact the range, causing it to become larger or smaller, leading to an inaccurate representation of the overall data variability.

On the other hand, the interquartile range focuses on the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The quartiles divide the data into four equal parts, each representing 25% of the data. By using the interquartile range, the values of the extreme outliers are not taken into consideration, making it more robust against extreme values that can distort the variability measurement.

Since the interquartile range only considers the middle 50% of the data, it provides a more stable and robust measure of variation. It helps to capture the spread of the central data points, which is often more representative of the overall data distribution.

In summary, the interquartile range is a more stable measure of variation than the range because it is less influenced by extreme values or outliers, providing a more accurate representation of the typical spread of the data.

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Answer:

12.25 an hour

Step-by-step explanation:

there are 24 hours in a day, 24*5 (days) = 120

24/8 (the number of hours he uses each day) is 3

divide 120 by 3 and you get the amount of hours he works a week, 40

$490 (the amount he makes in a week) divided by 40 (the amount of hours he works a week) and you get your answer of $12.25 an hour

-3 is less than 2

< is the symbol

The number of words he still need to write in one of his writing sessions would be = 95 minutes.

A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.

The number of words committed for a day by Nick = 500 words.

He writes 120 words = 30 mins

The total number of words remaining = 500 - 120 = 380 words.

Therefore the time it will take to finish the remaining 380 words in the day = X mins.

If 30 mins= 120 words

X mins = 380 words.

Make X mins the subject of formula;

X mins = 380× 30/120

X mins = 11,400/120

X mins= 95 minutes.

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Answer

382.1

Step-by-step explanation:

its 5 times 76.42ft2.

plz mark as brainliest btw

Answer:

(1 +a + b)(1 - a -b)

Step-by-step explanation:

1 - 2ab - (a² +b²) = 1 - 2ab - a² - b²

                           = 1 - (2ab + a² + b²)

                           = 1 - (a + b)²

                           = 1² - (a +b)²    

Identity: x² - y² = (x + y)(x - y)

                          = (1 + (a+b))(1- [a +b] )

                          = (1 +a + b)(1 - a -b)

The y - intercept represents a cereal with zero grams of sugar that has a rating of about 57.

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y-intercept of line

Given a equation → y = 2.391x + 57.420 that models the taste rating of a cereal 'y' and 'x' represents the number of grams of sugar per serving.

The y-intercept of the equation represents the point at which the graph of the equation cuts the y - axis. Now, the coordinates of the y-intercept is of the form (0, y). Therefore, the x-coordinate will be 0. Now, the equation given is -

y = 2.391x + 57.420

Comparing it with the general equation of line -

y = 2.391x + 57.420

y =   mx     +    c

The y - intercept is c = 57.420

At x = 0, the equation becomes -

y = 2.391 x 0 + 57.420

y = 57.420

Now -

Number of grams of sugar per serving = 0

Taste rating of a cereal = y = 57.420

Therefore, the y - intercept represents a cereal with zero grams of sugar that has a rating of about 57.

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The exact value of sin(π/6) is 1/2.

To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.

At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.

Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.

At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.

In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.

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Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.

To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.

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 the complete question is:

Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.

Answer:

Dr. Hong prescribed the most medicine

Dr. Evans prescribed the less medicine

Step-by-step explanation:

Dr. Hong =0.019 liters more than Dr.Tannenbaum

Dr.Evans prescribed 0.02 Less than Dr.Hong.

Let

Dr.Tannenbaum=x liters

Dr. Hong =0.019 + x liters

Dr. Evans= 0.019 + x - 0.02 liters

= x - 0.001 liters

Therefore,

Dr. Hong prescribed the most medicine

Dr. Evans prescribed the less medicine

Answer:

D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(3x + 1)(x − 2)

Answer: x=h*c-3

Step-by-step explanation:

x+3/c=h

multiply c to both sides

x+3=h*c

subtract 3 from both sides

x=h*c-3

Answer: x = 3.5

Step-by-Step Solution:

Let us first label the figure.

Let the Triangle be ABC with a line DE || BC.

Now, in ∆ABC,

DE || BC (given)

=> AD/DB = AE/EC (by B.P.T)

Substituting the given values,

AD/DB = AE/EC

2/4 = x/7

1/2 = x/7

2x = 7

x = 7/2

=> x = 3.5

Therefore, x = 3.5

c ccccccccccccccccccccccccccccc

Answer:

8,5

Step-by-step explanation:

(8 × 6 + 3) ÷ (3 + 3) =

results of (8 × 6 +3) ÷ (3+3) is 8,5

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Answer:

-7x-4y+4y=-44+4y

-7x=4y-44

-7x/-7= 4y-44/-7

x=-4/7y+44/7

x=-4/7y+44/7

Step-by-step explanation:

The cosine wave that models the altitude of the sun at Cabo San Lucas on this date is y = 31.5 * cos((π/12)x - (π/2) - (π/2)) + 31.5

To determine a cosine wave that models the altitude of the sun at Cabo San Lucas on a particular date, we can use the given information about the sun's altitudes at different times of the day.

Let's define the hour of the day, x, as the independent variable and the altitude of the sun, y, as the dependent variable. We can use the general form of a cosine wave:

y = A * cos(Bx + C) + D,

where A represents the amplitude, B represents the frequency, C represents the phase shift, and D represents the vertical shift.

From the given information, we can identify the following parameters:

The amplitude, A, is half of the total range of the altitude, which is (63° - 0°)/2 = 31.5°.

The frequency, B, can be determined by the fact that the sun reaches its highest and lowest altitudes twice during the day, so B = 2π/(24 hours).

The phase shift, C, is related to the time at which the sun reaches its lowest altitude, which occurs at 1.37 hours. Since the lowest altitude corresponds to a phase shift of -π/2, we can calculate C = -B * 1.37 - π/2.

The vertical shift, D, is the average of the highest and lowest altitudes, which is (63° + 0°)/2 = 31.5°.

Combining these values, we have the cosine wave model for the altitude of the sun at Cabo San Lucas:

y = 31.5 * cos((2π/(24))x - (2π/(24)) * 1.37 - π/2) + 31.5.

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Answer:

  2.5

Step-by-step explanation:

You want the dilation factor that enlarges a 3×5 inch photo to a 7.5×12.5 inch photo.

The dilation factor is the ratio of corresponding dimensions:

  enlargement factor = 7.5/3 = 2.5

The dilation factor is 2.5.

Answer:

D, I think, pls don't report if im wrong

Step-by-step explanation:

Answer:

One solution.

Step-by-step explanation:

This question has different coefficients so it has one solution.

\(\framebox{2$\dfrac{1}{6}$}\)

Divide the numerator by the denominator:

\(13\div6\)

\(=2\frac{1}{6}\\or\\2.16\)

Answer:

you can either multiply 12x50 on a calculator or you can work it out by hand which would be 50+50+50+50+50+50+50+50+50+50+50+50

but the answer would be 600

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

12 times 50

or

10 times 50 (500)

plus

2 times 50 (100)

and add them

600

hope it helps

brainy?

Answer:

Recipe A

Step-by-step explanation:

Hope this helped!!!

Answer:

\({\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}\)

Cups of flour used = 3

Rolls made = 12

Cups of flour per roll

\( = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25\)

Cups of flour used = 5

Rolls made = 24

Cups of flour per roll

\( \frac{5}{24} \\ = 0.20\)

Cups of flour used = 11

Rolls made = 48

Cups of flour per roll

\( \frac{11}{48} \\ = 0.22\)

\(0.25 > 0.22 > 0.20\)

Recipe A > Recipe C > Recipe B.

✏ So, Recipe A used the most cups of flour per roll (option a).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\( \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}\)

Answer:

The common multiple for 30 21 and 24 is 3

Step-by-step explanation:

30 = 3 × 10

21 = 3 × 7

24 = 3 × 8

Thus, 3 is the common multiple for 30 21 and 24.

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