Suppose water flows from a shower at a rate of 0.35 cubic feet per minute. do you use more water by taking a 15-minute shower or by filling a bathtub with 0.5 cubic yards of water?

5 feet is the greatest distance that a person could be from the lamp and be detected.

A circle is defined as round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).

Since we have given that

The equation is :

\((x+15)^2+(y-12)^2=25\)

It is the equation of circle in which center is (h,k) i.e. ( 15,12)

The general equation of circle is given by

\((x-h)^2+(y-k)^2=r^2\)

Here, the radius 'r' is given by

\(r^2=25\)

\(r=\sqrt{25\)

\(r=5\)

Here, the greatest distance a person could be from the lamp and be detected is represented by radius i.e. r = 5 feet.

Hence, 5 feet is the greatest distance that a person could be from the lamp and be detected.

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Answer:

Z = 3

Step-by-step explanation:

if y = 3 then 3 x 2 = 6 subtract that from 9 and u get 3 so therefore z is 3

To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest

I = P * r * t.

I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,

Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.

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Answer:

The customary method of finding the inverse is some variant of the method I'm going to use below. Whatever method you use, make sure you do the exact same steps in the exact same order every time, so you remember those steps when you get to the test.

Find the inverse of y = 3x – 2.

Here's how the process works:

Here's my original function:  

y = 3x - 2

Now I'll try to solve for "x =":  

y + 2 = 3x

(y + 2)/3 = x

Once I have " x =", I'll switch x and y; the "y =" is the inverse.  

y = (x + 2)/3

Then the inverse is y = (x + 2) / 3

If you need to find the domain and range, look at the original function and its graph. The domain of the original function is the set of all allowable x-values; in this case, the function was a simple polynomial, so the domain was "all real numbers". The range of the original function is all the y-values you'll pass on the graph; in this case, the straight line goes on for ever in either direction, so the range is also "all real numbers". To find the domain and range of the inverse, just swap the domain and range from the original function.

Step-by-step explanation:

The rate at which the shadow of the man is increasing in length is 1/5 m/s.

We can solve this problem using similar triangles. Let x be the length of the shadow, and let y be the distance between the man and the base of the lamppost. Then, we have the following equation:

(1.4 + x)/y = 1/5

Solving for x, we get:

x = (y/5) - 1.4

Differentiating both sides with respect to time t, we get:

dx/dt = (1/5) dy/dt

We are given that dy/dt = 1 m/s, so substituting that in, we get:

dx/dt = (1/5) m/s

Finally, we are asked for the rate at which the shadow length is increasing, which is just dx/dt. Thus, the rate is (1/5) m/s.

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Using the Euclidean distance between pairwise observations, the pairwise observation is most dissimilar is Observations 1 & 3. The correct answer is A.

In order to determine the most dissimilar pairwise observation using the Euclidean distance, we need to calculate the distance between each pair of observations. The Euclidean distance between two observations is the square root of the sum of the squared differences between their corresponding values in each variable.

For example, for observations 1 and 2:

d(1,2) = √((2-5)² + (22-21)²) = √(9 + 1) = √(10)

We can calculate the distances between all pairs of observations and then identify the pair with the largest distance as the most dissimilar.

d(1,2) = √(10)

d(1,3) = √((2-12)² + (22-1)²) = √(1400)

d(2,3) =√((5-12)² + (53-1)²) = √(1865)

Therefore, the most dissimilar pairwise observation is between observations 1 and 3 with a distance of √(1400). The correct answer is A.

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The ceiling for this problem is given as follows:

450 m.

The three trigonometric ratios are defined as follows:

The parameters for this problem are given as follows:

Hence the value of x is obtained as follows:

tan(71.5º) = x/150

x = 150 x tangent of 71.5 degrees

x = 448.3 m.

Adding 1.7 m, the ceiling is obtained as follows:

448.3 + 1.7 = 450 m.

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To solve the equation for a variable we need to isolate the variable on the left side of the equation. The expression is:

To start we need to subtract by "7x" on both sides of the equation.

We then need to divide both sides by 4.

Answer:

a = 4  b = 1  c = 9

Step-by-step explanation:

There is a strong negative linear relationship between x and y, and almost all of the variation in y can be explained by the variation in x.

The correlation coefficient is -0.961 and the proportion of the variation in y that can be explained by the variation in the values of x is 92.3%.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient between x and y is -0.961, which indicates a strong negative linear relationship between the two variables.

The coefficient of determination (r²) measures the proportion of the variation in y that can be explained by the variation in the values of x. In this case, the value of r² is 0.923, or 92.3%. This means that 92.3% of the variability in y can be explained by the variability in x. Therefore, there is a strong negative linear relationship between x and y, and almost all of the variation in y can be explained by the variation in x.

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We have

1 month --- 2 1/2 boxes

4 months --- x boxes

in order to find the number of boxes we will use crossed multiplication

ANSWER

4 months ---- 10 boxes

Answer: The sales tax is $36.79  

Step-by-step explanation:

Multiply the sales tax percent by the money to find how much the sale tax is.

7% * 525.50 = 36.785  which rounds to 36.79  to the nearest penny.

The required amount of sales tax for the refrigerator is $36.785.

As mentioned in the question, a refrigerator is priced at $525.50. There is a 7% sales tax rate. The sales tax for the refrigerator in dollars and cents is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The total price of the sales tax = $525.50
Sales tax is 7%,

sales tax= 525.50 × 7%
sales tax = $36.785

Thus, the required amount of sales tax for the refrigerator is $36.785.

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Answer:

5x

Step-by-step explanation:

3x+2x

Combine like terms

x(3+2)

x(5)

5x

Answer:

5x

Step-by-step explanation:

3x + 2x

Step 1 :- Calculate like terms by adding their coefficient.

Step 2 :- Combine like terms.

Step 3 :- Multiply ; 5 times x.

Answer:

\(\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)\)

Build a proportional equation:

\(\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}\)

\(\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}\)

\(\rightarrow \sf 10(10) = 6(x+10)\)

\(\rightarrow \sf 100 = 6x+60\)

\(\rightarrow \sf 40= 6x\)

\(\rightarrow \sf x = 40/6\)

\(\rightarrow \sf x = \dfrac{20}{3}\)

\(\rightarrow \sf x = 6\dfrac{2}{3}\)

Answer:

Step-by-step explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10.      (6x+60)/10=10

4. Multiply each side by 10.    6x+60=100

5. simplify.    6x=40       3x=20

6. divide each side by 3.    x=20/3

(Sorry about my last answer)

Joanna has a tennis store and sells tennis racquets. Tennis racquets usually cost $125 and at this price, she usually sells 45 a week. This week, she is planning to have a sale and through statistical analysis, she find that if she decreases her price by $5,5 more people will buy tennis racquets. At this price, she is expected to sell 50 racquets and generate a revenue of $6000.

To find the best price for Joanna to maximize her revenue, we need to analyze the relationship between the price of tennis racquets and the number of racquets sold. Let's break down the problem step by step:

The best price for Joanna to maximize her revenue is the price that yields the higher revenue. From the calculations above, it can be concluded that the best price is the new price of $120, which results in a revenue of $6000.

To maximize her revenue, Joanna should set the price of tennis racquets at $120 during the sale. At this price, she is expected to sell 50 racquets and generate a revenue of $6000.

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Answer:

please show your answer and the question in order for me to answer this!

Step-by-step explanation:

Answer:

2,16[-803,24]

Step-by-step explanation:

5×-347=-1735

5×-347=-1735/2,16

5×-347=2,16[-803,24]

Answer:

$389.50

Step-by-step explanation:

$10.25x38=$389.50 gross pay

Answer: The smallest number that can be divided by 90, 80 and 72 without a remainder is 720.

Step-by-step explanation:

To find the smallest number that can be divided by 90, 80, and 72 without a remainder, you can find the least common multiple (LCM) of 90, 80, and 72. The LCM is the smallest positive number that is a multiple of all the given numbers.

One way to find the LCM is to list out the multiples of each number and then find the smallest one that is common to all.

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170...

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120...

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008...

As you can see 720 is the smallest common multiple for all the numbers 90,80 and 72. Therefore, the smallest number that can be divided by 90, 80, and 72 without a remainder is 720.

Answer: 104.65%

Step-by-step explanation: 45/43=1.0465 so you just move the decimal to the right 2 places to make it a percent. It’s over 100% because 45 is higher than the total of 43.

The recursive formula which is used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n+1)=f(n)+0.75. The correct option is B.

Given the time spent by making a hat is shown in attached image.

We have to find the recursive formula which is used to satisfy the given condition.

A recursive formula relates each term in the sequence to the previous term in the sequence. This is different from the explicit expression.

As it is given that f(1)=1.5, f(2)=2.2.5, f(3)=3.0 and f(4)=3.75

According to the definition of recursive formula, we will firstly find the difference between f(2) and f(1), we get

f(2)-f(1)=2.25-1.5

f(2)-f(1)=0.75

f(2)=f(1)+0.75,

Now, we will find the difference between f(3) and f(2), we get

f(3)-f(2)=3.0-2.25

f(3)-f(2)=0.75

f(3)=f(2)+0.75,

Similarly, we will find for others.

.....

f(n+1)=f(n)+0.75

This is the arithmetic sequence with common difference 0,75.

Hence, according to the question, the recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n+1)=f(n)+0.75.

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

After considering the given data and carefully evaluating the given circumstances we conclude that the satisfactory answer to the given question is Option D.

According to Certified Public Account (CPA) Canada, the agreed-upon and fulfillment system regarding the procedures report must comprises  identification and explanation of the various parties involved in the AUP engagement.
The report on an engagement places of applying agreed-upon procedures must have a statement of restrictions on the use of the report due to its cause of being used solely by the specified parties.

Hence, the answer is D) A disclaimer of responsibility for the sufficiency of these procedures.
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The complete question is
A CPA was engaged to calculate the rate of return on a specific investment according to an agreed-upon formula and verify that resultant percentage agrees to the percentage in an identified schedule. The CPA's report on these agreed-upon procedures should contain:

Multiple Choice

A) A disclaimer of opinion on the fair presentation of the financial statements.

B) An opinion about the fairness of the agreed-upon procedures,

C) A separate paragraph describing the effectiveness of the internal controls.

D) A disclaimer of responsibility for the sufficiency of these procedures.

Answer: Its A

Step-by-step explanation: Just count the lines and since there is 8 lines it would be ?/8 so we going to count up until the dot which stops at 3 soo it would be 3/8

Answer:

Step-by-step explanation:

61 is divisible by itself and 1. It's prime.

102 ends in a 2. Therefore it is not prime because it can be divided by 2,

75 = 3*5*5 not prime.

64 = 2 * 2 * 2 *2 * 2*2 Not prime.

Answer:

38

Step-by-step explanation:

40 x 95/100 = 38
95 is the amount
40 is the percent that this item is off by
100 is the maximum percent the item can be off by

Another example to prove this

40 percent * 95 =

(40:100)* 95 =

(40* 95):100 =

3800:100 = 38

Answer:

D. 25

Step-by-step explanation:

16 divided by 64% is 25

Answer:

25

Step-by-step explanation:

Hope I helped you.