There is 1 inch of water in a pool. The water level is increasing at 0.75 inches/minute. Which linear equation represents the total depth of the water, in inches, after x minutes?

Question 3 options:

y=0.75x+1

1+y=0.75x

x=0.75y

y=0.75x

Answer:

45.5

Step-by-step explanation:

First, you need to put the data in order: 37, 39, 41, 43, 48, 51, 52, 54

I'm not sure what 5 median means, but to find the median, you look for the middle number of the data set.

43 + 48 = 91      

then, you divide the numbers by 2 to get the median.

91/2= 45.5

So, the median is 45.5

Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

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Answer: true

Step-by-step explanation:

But it isn't a linear functionA function with a constant rate of change and a straight line graph., because it doesn't follow a straight line. Any function that isn't linear is called a nonlinear function.

Therefore, the probability that the lifetime X of the first component exceeds 5 is 0.006737, based on process.

Probability theory examines numerical illustrations of the probability that an event will happen or that a statement is true. An event's probability is expressed as a number between 0 and 1, with 1 generally denoting certainty and 0 generally denoting impossibility.

Here,

f(x,y) =\(xe^{-x(1+y)}\)

Took the double integral of the equation above, first the integral with respect to y (from 0 to infinity) and then with respect to x (from 5 to infinity).

therefore the integration,

\(\int\limits^ {infinity}_0{xe^{-x(1+y)} } \, dx\)

\(\left \{ {{y=infinity} \atop {x=0}} \right. \frac{-x}{y+1} e^{-x(y+1)} + \frac{1}{y+1} \int\limits^{infinity} _0{ e^{-x(y+1)} \, dx\)

\(=\frac{1}{(y+1)^2}\)

\(fX(x)\) is easier with:fX(x) =\(\int\limits^{infinity}_0 {x}e^{-(x(y+1))} \, dy\)=\(xe^{-x} \int\limits^{infinity}_0 x {e^{-xy} } \, dy=e^{-x}\)

We get

We used u substitution to end up with    \(e^{-x(1+y)}\) which is needed to evaluate from 0 to infinity, which left me with \(e^{-x}\)

Then the integral with respect to x from 5 to infinity which left with an answer of \(e^{-5}\)

So the probability that the lifetime X of the first component exceeds 5 is 0.006737, based on my process.

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Answer:

b is the answer

Step-by-step explanation:

because I'm that bit still that bit will for ever be that bit

The 12 months past and the fruit turned into sonic the hedge hog #PERIODAHHPERIODUHH

Answer:

40%

Step-by-step explanation:

The answer would be 40% because if there are 40% 6th graders and 20% 7th graders 40 plus 20 = 60 so 60 plus 40 = 100%

Answer: 40%

Step-by-step explanation:

Answer:

Social Media: 2.4M apps

Games: 1.5M apps

Music: 1.8M apps

Video:0.3M apps

Answer:

5 i think

Step-by-step explanation:

to start you need to find the total area the side of the roof he plans to cover which is 360 feet.

16x2 + 20x2 = 72

so lets just say thats the total area of one solar panel then you could just divide 360 feet by 72 feet to get...

5. so i guess william needs 5 solar panels

i could be spouting nonsense rn.. so sorry if im wrong

Factorial notation is used to represent the product of a series of descending positive integers, and is denoted by an exclamation mark.

For example, 5! represents 5 x 4 x 3 x 2 x 1, which equals 120. If the study involves counting the number of ways a certain group of items can be arranged, factorial notation may be used to express the total number of possible arrangements. However, without knowing the specifics of Dr. Elder's study, it is impossible to provide the correct factorial notation. Therefore, I would recommend providing more details about the study in order to receive a more accurate answer.

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Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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The conditional that is a contradiction is (p → q) ∧ (p → ¬q). This is because if p implies q, it cannot also imply the negation of q.

In other words, if p is true, then q must be true and ¬q must be false. Therefore, it is impossible for both (p → q) and (p → ¬q) to be true at the same time, making this a contradiction.

The other conditionals are not contradictions:

- None of them are contradictions: This is not a conditional statement, so it cannot be a contradiction.

- (¬p → q) ∧ (p → ¬q): This is not a contradiction because it is possible for both ¬p and p to be false, making both q and ¬q true.

- (p → q) ∧ (¬p → q): This is not a contradiction because it is possible for both p and ¬p to be false, making both q and q true.

Therefore, the correct answer is (p → q) ∧ (p → ¬q).

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The expression "arcsin(1/2)" represents the inverse sine function, which returns the angle whose sine is equal to 1/2.

To find the exact value of arcsin(1/2), we need to determine the angle whose sine is 1/2. In other words, we are looking for the angle θ such that sin(θ) = 1/2.

By recalling the trigonometric values for common angles, we know that sin(30°) = 1/2. Therefore, the exact value of arcsin(1/2) is 30 degrees or π/6 radians.

In summary, arcsin(1/2) = 30° = π/6 radians.

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Answer:

He would have to pay £950 to insure the bicycle.

Step-by-step explanation:

£45 = £9.50 insurance

£4,500 = \(\frac{4500}{45}\) × £9.50 insurance

            = £950

As per the given data, the man would have to pay £950 to insure his bicycle.

Insurance is a contract between an individual or entity (the policyholder) and an insurance company in which the policyholder pays a premium in exchange for financial protection against certain events or circumstances.

To calculate the cost of insurance for the bicycle, we first need to calculate how many £45 increments there are in the value of the bicycle:

Value of bicycle = £4,500

Value of each increment = £45

Number of increments = Value of bicycle / Value of each increment = £4,500 / £45 = 100

So, there are 100 increments of £45 in the value of the bicycle.

Next, we can calculate the cost of insurance by multiplying the number of increments by the cost per increment:

Cost of insurance = Number of increments x Cost per increment

Cost of insurance = 100 x £9.50

Cost of insurance = £950

Therefore, the man would have to pay £950 to insure his bicycle.

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The volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is V = π[((9/245)b^5) - ((9/245)a^5)].

the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is (2/3)π[(13/7) * sqrt(13/7)] cubic units.

To find the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis, we can use the disk method. Here's a step-by-step explanation:

1. Identify the function: y = (6/7)x^2

2. Determine the limits of integration: Since we are not given specific bounds, let's assume the region is defined between x=a and x=b.

3. Set up the integral for the disk method: V = π∫[f(x)]^2 dx, where f(x) = (6/7)x^2.

4. Substitute the function and limits into the integral: V = π∫[a to b] [(6/7)x^2]^2 dx

5. Simplify the integral: V = π∫[a to b] (36/49)x^4 dx

6. Integrate to x: V = π[(9/245)x^5]∣[a to b]

7. Evaluate the definite integral: V = π[((9/245)b^5) - ((9/245)a^5)] So, the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is V = π[((9/245)b^5) - ((9/245)a^5)].

To find the volume V of the solid obtained by rotating the region bounded by the curve y = 13/7 − x2  about the x-axis. Let us consider a region bounded by the curve y = 13/7 − x2 and the x-axis.Let us rotate this region about the x-axis to obtain a solid with a volume.The region bounded by the curve y = 13/7 − x2 and the x-axis is shown below:We need to integrate to find the volume V of the solid obtained by rotating the region bounded by the curve y = 13/7 − x2  about the x-axis. The volume of the solid is given by: V = ∫(π.y2)dx, where y = 13/7 − x2Integrating V, we get: V = π ∫ (13/7 − x2)2 dx Let us evaluate the integralπ ∫ (13/7 − x2)2 dx= π [(13/7) * x - (1/3) * x3] limits from -sqrt(13/7) to +sqrt(13/7))= π [(13/7) * sqrt(13/7) - (1/3) * (13/7)3/2] - π [-(13/7) * sqrt(13/7) - (1/3) * (13/7)3/2]= (2/3)π[(13/7) * sqrt(13/7)] cubic unitsTherefore, the volume of the solid is (2/3)π[(13/7) * sqrt(13/7)] cubic units.

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Answer:

54minutes

Step-by-step explanation:

Let the time taken to clean up be t

Let the number of people cleaning be n

If the time it takes to clean up after an anniversary party varies inversely as the number of people cleaning then;

t = k/n

k is the constant of proportionality

If 3 people work together to clean, and took them 90 minutes, this means

at t = 90, n=3

Substitute

90 = k/3

k = 3×90

k = 270

To et the time it will take 5people to clean, the will say;

t =k/n

t =270/5

t = 54 minutes

Hence it will take 5 people 54minues to clean

Answer: 54 minutes

Step-by-step explanation:

Edy can earn a maximum score of 232 points.

Given,

Edy receives the highest score when she correctly answers the most questions. She can complete a maximum of 20 questions, however she can only correctly answer a maximum of 5 short answer questions and 16 word problems.

The highest score is achieved when she completes 16 word problems and 4 short answer questions, just as the word problems earn her more points.

16 word problems received 16(13) = 208 points, while 4 short answer questions received 4(6) = 24 points. She can then earn a maximum score of 232 points.

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shelbyblanchard15, this is the solution:

e. (7 * 10^6) * (8 * 10^5) = 5.6 * 10 ^12

f. 10,000,000 * 0.000 005

10,000,000 = 10 ^7

0.000 005 = 5 * 10 ^ -6

5 * 10^1 = 5 * 10

g. 30,000/0.0004

30,000 = 3 * 10^4

0.0004 = 4 * 10^-4

3 * 10^4/4 * 10^-4 = 7.5 * 10^7

Answer:

y = 1x-5

Step-by-step explanation:

We know two points so we can find the slope

(0,-5) and (5,0)

m = ( y2-y1)/(x2-x1)

   = ( 0 - -5)/(5-0)

   (0+5)/(5-0)

    5/5

=1

We know the y intercept = -5

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1x-5

Answer:

Step-by-step explanation:

Here we see regrouping of the multiplied numbers.

Relevant property is given below

Answer:

Your answer is C

Step-by-step explanation:

The total amount money after thirteen years of savings will be $5030.63

To calculate the amount of money in the account today, we need to calculate the future value of each contribution separately and then add them together.

Let's start by calculating the future value of the initial deposit of $2400 over the first five years at an interest rate of 8% compounded annually.

Using the formula for compound interest:

Future Value = \(Principal\) * \((1 + Interest Rate)^{Time}\)

Future Value = $2400 * (1 + 0.08)⁽⁵⁾

Future Value = $2400 * (1.08)⁵

Future Value = $2400 * 1.46933

Future Value = $3526.40

So, after five years, the initial deposit will grow to $3526.40.

Now, let's calculate the future value of the additional deposit of $1000 over the last eight years at an interest rate of 5.5% compounded annually.

Future Value = $1000 * (1 + 0.055)⁸

Future Value = $1000 * (1.055)⁸

Future Value = $1000 * 1.50423

Future Value = $1504.23

So, after eight years, the additional deposit will grow to $1504.23.

Now, let's add the two amounts together to find the total amount in the account today:

Total Amount = $3526.40 + $1504.23

Total Amount = $5030.63

So, the total amount money after thirteen years of saving will be $5030.63

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Complete question:

Thirteen years ago, you deposited $2400 into a superannuation fund. Eight years ago, you added an additional $1000 to this account. You earned 8%, compounded annually, for the first five years, and 5.5%, compounded annually, for the last eight years. How much money do you have in your account today?

The shift that  are found by the naive string matcher in searching for the pattern is in the text Mississippi are options (b) 1 and (e) 4

The naive string matcher is a simple algorithm for searching a pattern within a text. It works by comparing the pattern with all possible substrings of the text and returning the starting indices of the matches. The algorithm starts by aligning the first character of the pattern with the first character of the text and then checks if all the characters in the pattern match the corresponding characters in the text.

If a mismatch is found, the algorithm moves to the next starting position in the text and repeats the process. The algorithm continues until all possible starting positions in the text have been checked.

Assuming that the pattern being searched is "issi", the shifts found by the naïve string matcher in searching for the pattern in the text "Mississippi" are

shift of 1: "issi" matches at position 1 in the text "Mississippi"

shift of 4: "issi" matches at position 4 in the text "Mississippi"

Therefore, the correct options are (b) 1 and (e) 4

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Answer:x=1 I, i-1

Step-by-step explanation:

Answer:

x-intercept = 5

y-intercept = -1.5

Step-by-step explanation:

x-intercept:

3x-10y=15

3x-10(0)=15

3x = 15

x = 15/3

x = 5

y-intercept:

3x-10y=15

3(0)-10y=15

-10y = 15

y = 15/-10

y = -1.5

Answer:

25.4

Step-by-step explanation:

If double of the number 'x' is 50.8, (2x=50.8)

Then the original number must be half of that value, (x=50.8/2)

50.8/2 = 25.4

Answer:

It would be 3 1/4

Step-by-step explanation:

your welcome