hi pls answer this one...\


ii) 6 taps with the same rate of flow can fill a tank in 18 minutes. If two taps are closed, how long will the remaining taps take to fill the tank?

In ideal projectile motion, when the positive -axis is chosen to be vertically upward, the -component of the velocity of the object during the ascending part of the motion and the -component of the velocity during the descending part of the motion are b) negative, positive respectively.

In ideal projectile motion, the initial velocity of an object can be separated into its x-component (horizontal) and y-component (vertical). When the positive y-axis is chosen to be vertically upward, the object experiences a constant acceleration due to gravity.

This results in a negative y-component of velocity during the ascending part of the motion (as the object is moving upwards against gravity) and a positive y-component during the descending part of the motion (as the object is falling downwards with gravity).

To summarize, the y-component of velocity is negative during the ascending part of the motion and positive during the descending part. This is because gravity acts downwards, causing the object to slow down as it rises and speed up as it falls.

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Answer:

294 teenagers

Step-by-step explanation:

31.5$

102ml

50 hamburgers

Step 1: Our output value is 700.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$700=100\%$700=100%​.

Step 4: Similarly, $x=42\%$x=42%​.

Step 5: This results in a pair of simple equations:

$700=100\%(1)$700=100%(1)​.

$x=42\%(2)$x=42%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{700}{x}=\frac{100\%}{42\%}$

700

x​=

100%

42%​​

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{700}=\frac{42}{100}$

x

700​=

42

100​​

Therefore, 42% of 700 is 294.

Answer:

slope = -4

Step-by-step explanation:

A (-2,5)

B (0, -3)

slope = (-3-5)/(0-(-2)

-8/2

-4

Answer:

are u dumxb?? asur grandpa in the graveyard

Answer:

See below for proof.

\(S_{500}=125250\)

Step-by-step explanation:

Given arithmetic series:

Therefore:

\(S_n=1+2+3+...+(n-2)+(n-1)+n\)

\(S_n=1+(1+1)+(1+2)+...+(1+n-3)+(1+n-2)+(1+n-1)\)

\(S_n=1+(1+1)+(1+2(1))+...+(1+(n-3)(1))+(1+(n-2)(1))+(1+(n-1)(1))\)

Let:

Therefore:

\(S_n=a+(a+d)+(a+2d)+...+(a+(n-3)d)+(a+(n-2)d)+(a+(n-1)d)\)

Reverse the order:

\(S_n=(a+(n-1)d)+(a+(n-2)d)+(a+(n-3)d)+...+(a+2d)+(a+d)+a\)

Add the two expressions for Sₙ:

\(2S_n=(2a+(n-1)d)+(2a+(n-1)d)+(2a+(n-1)d)+...+(2a+(n-1)d)\)

Therefore, the term (2a + (n – 1)d) has been repeated n times:

\(2S_n=n(2a+(n-1)d)\)

Divide both sides by 2:

\(S_n=\dfrac{1}{2}n(2a+(n-1)d)\)

\(S_n=\dfrac{1}{2}n(a+a+(n-1)d)\)

Replace  a with  a₁  (first term) and a + (n – 1)d  with  aₙ (last term):

\(S_n=\dfrac{1}{2}n(a_1+a_n)\)

To find the sum of the series 1 + 2 + 3 + ... + 500, substitute the following values into the formula:

Therefore:

\(\implies S_{500}=\dfrac{1}{2}(500)(1+500)\)

\(\implies S_{500}=250(501)\)

\(\implies S_{500}=125250\)

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

Cal will have spent more than $500 after 28 weeks.

We can start by setting up an equation to represent Cal's spending on baseball cards:

Total spending = 12.50 * number of weeks

We can then use this equation to find out in how many weeks Cal will have spent more than $500:

12.50 * number of weeks > 500

Dividing both sides by 12.50, we get:

number of weeks > 500 / 12.50

number of weeks > 40

So, Cal will have spent more than $500 after 40 weeks. However, the question asks for the number of weeks after which Cal will have spent more than $500, given that he has already spent $35.

To find the number of weeks after which Cal will have spent more than $500, we need to subtract the amount he has already spent from $500:

$500 - $35 = $465

Now we can use the original equation to find the number of weeks:

12.50 * number of weeks = $465

Dividing both sides by 12.50, we get:

number of weeks = $465 / 12.50

number of weeks = 37.2

Since we can't have a fraction of a week, we need to round up to the nearest whole number. Therefore, Cal will have spent more than $500 after 38 weeks.

However, we need to remember that Cal has already spent $35, so we need to subtract that from the total amount he will have spent:

$500 - $35 = $465

$465 / 12.50 = 37.2

37.2 + 1 = 38

Therefore, Cal will have spent more than $500 after 38 weeks or 28 weeks from now.

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Answer:

x       y

0     -2

1       -1

2       -0.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of x is 19 if the lines l and m are parallel.

The lines l and m are parallel

The corresponding angles are equal

We have to find the value of x

6x-9 = 5x+10

Let us take all the variable terms on one side

6x-5x=10+9

x=19

Hence, the value of x is 19 if the lines l and m are parallel.

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Answer:

2x−15

Step-by-step explanation:

6x−7−4x−8

=6x+−7+−4x+−8

Combine Like Terms:

=6x+−7+−4x+−8

=(6x+−4x)+(−7+−8)

=2x+−15

Answer:

x = 16

Step-by-step explanation:

Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.

Thus:

EG/AC = EF/AB

EG = 756

AC = (45x - 76)

EF = 1107

AB = 943

Plug in the values into the equation

756/(45x - 76) = 1107/943

Cross Multiply

756*943 = (45x - 76)*1107

712,908 = 49,815x - 84,132

712,908 + 84,132 = 49,815x

797,040 = 49,815x

797,040/49,815 = x

16 = x

x = 16

Answer:

4 3/4

Step-by-step explanation:

The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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Answer:

- 18369919

Step-by-step explanation:

Hope that helps!

Answer:

800

Step-by-step explanation:

= 2 (13 x 11 + 11 x 11 + 11 x 13 )

= 2 (143 + 121 + 143)

= 2 x 407

= 814 inch^2

nearest hundred = 800

80, answer = 800 inch^2

Answer:

also click the first choice. It has 10 sides.

Step-by-step explanation:

1440=(N-180)-360

N-180=1080

n=10 sides

Answer: The answers would be A

Step-by-step explanation- The sum of all angles in a decagon will always equal 1440 degrees. That is all. Plz mark brainliest?

To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

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Answer:99904.

Step-by-step explanation:

Find the LCM of

5

10 = 2x5

15 = 3x5

20 = 2x2x5

25 = 5x5

LCM = 2x2x3x5x5 = 300

Take the smallest 5-digit number: 10000 and divide it by 300 to get 33.33. Round it off to 34 and multiply it by 300 to get 10200. Finally add 4 to 10200 to get 10204 which is the smallest final 5-digit number.

Check: 10204/5 = 2040 as quotient and a remainder of 4. Correct.

10204/10 = 1020 as quotient and a remainder of 4. Correct.

10204/15 = 680 as quotient and a remainder of 4. Correct.

10204/20 = 510 as quotient and a remainder of 4. Correct.

10204/25 = 408 as quotient and a remainder of 4. Correct.

Answer: 10204.

To get the greatest 5-digit number take 99999 and divide it by 300 to get 333.33. Round it off to 333 and multiply it by 300 to get 99900. Finally add 4 to 99900 to get 99904 which is the final greatest 5-digit number.

Check: 99904/5 = 19980 as quotient and a remainder of 4. Correct.

99904/10 = 9990 as quotient and a remainder of 4. Correct.

99904/15 = 6660 as quotient and a remainder of 4. Correct.

99904/20 = 4995 as quotient and a remainder of 4. Correct.

99904/25 = 3996 as quotient and a remainder of 4. Correct.

Answer: 99904.

The following are polynomials with their number of terms and degrees:

a). s -1 (2 terms and degree 1)

b). 9k⁸ - 8k⁷ + 10k⁵ - 10k² (5 terms and degree 8)

c). 4b⁴ - 2b³ - b² - 9b (4 terms and degree 4)

A polynomial expression is an algebraic expression made up of variables and coefficients, combined using only the operations of addition, subtraction, and multiplication. The variables are raised to a power, which is a non-negative integer, and the coefficients are real numbers. A polynomial can have any number of terms, but it always has a degree, which is the highest power of the variables in the expression.

For the polynomial expression, s -1 there are only 2 terms and it has a degree of 1

For the polynomial expression, 9k⁸ - 8k⁷ + 10k⁵ - 10k² there are only 5 terms and it has a degree of 8

For the polynomial expression, 4b⁴ - 2b³ - b² - 9b there are only 4 terms and it has a degree of

In conclusion, the polynomials have their number of terms and degrees as:

a). s -1 (2 terms and degree 1)

b). 9k⁸ - 8k⁷ + 10k⁵ - 10k² (5 terms and degree 8)

c). 4b⁴ - 2b³ - b² - 9b (4 terms and degree 4)

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Answer:

y - 7 =  3/5 (x - 1)

a. Sample standard deviation of $13.19 as an estimate of the population standard deviation. b. The population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.

a. The confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($132.89, $155.11) to two decimals.

To calculate the confidence interval, we use the formula:
CI = sample mean ± (z-score)(standard deviation / √sample size)
where the z-score is based on the desired level of confidence. For a 95% confidence level, the z-score is 1.96.

Plugging in the given values, we get:
CI = $144 ± (1.96)($13.19 / √n)
where n is the sample size. We are not given the sample size in this question, so we cannot calculate the exact interval. However, we can use the given sample standard deviation of $13.19 as an estimate of the population standard deviation.

So, CI = $144 ± (1.96)($13.19 / √n) = ($132.89, $155.11) to two decimals.

b. No, we cannot determine if the population mean at Niagara Falls differs from the mean reported by the American Automobile Association. The confidence interval includes the mean reported by the AAA, which was not significantly different from the sample mean. We can only say that the population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.

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Answer:

“Double translation” means rendering to one term in the original with two terms in the translation. This technique is almost never used in contemporary English Bible translations, but there is precedent for it.

Answer:

yes

Step-by-step explanation:

Answer: 7%

(Hope this is right.)

Step-by-step explanation:

Let's solve this using the information we have and an equation.

Shane: $32,000 - (Given)

Theresa: 18,000+14x, if x=1,160 - (Given)

---------------------------------------------------------------

Step two: (Theresa) 14(1,160) =16,240 (Algebra)

Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.

---------------------------------------------------------------

Finally,

They're asking for how much more she paid for her car as a percentage of what Shane paid.

34,240-32,000=2,240 and

2,240/32,000=0.07

0.07x100=7

Answer 7% more than what Shane paid.

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

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The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

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Answer: C

Step-by-step explanation:

The red graph is the result of reflecting the graph of y=f(x) across the x-axis and then translating 1 unit to the right.

The total revenue obtained in the first four years for the function f(t)=9000√1+2t is equal to $78,000.

Rate at which revenue flows into a company

f(t)=9000√1+2t

where time t is measured in years

and f(t) is measured in dollars per year.

The total revenue obtained in the first four years,

Integrate the revenue function f(t) from t=0 to t=4.

Total revenue = \(\int_{0}^{4}\) f(t) dt

Substituting the given function, we get,

Total revenue = \(\int_{0}^{4}\) 9000√(1+2t) dt

Simplify this by making the substitution

u = 1 + 2t,

⇒ du/dt = 2

⇒ dt = du/2.

When t=0, u=1 and when t=4, u=9.

Using this substitution, we can rewrite the integral as,

Total revenue = \(\int_{1}^{9}\) 9000√u  (du/2)

Total revenue = 4500  \(\int_{1}^{9}\)  \(u^{1/2}\) du

Using the power rule of integration, we get,

Total revenue = 4500 × (2/3) [\(u^{(3/2)}\)] \(|_{1}^{9}\)

⇒Total revenue = 4500 × (2/3) [(\(9^{(3/2)}\)) - \(1^{(3/2)}\)]

⇒Total revenue = 4500 × (2/3) × (26)

⇒ Total revenue = $78,000

Therefore, the total revenue obtained in the first four years is $78,000.

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Answer:

10

Step-by-step explanation:

30/3=10

Answer:

10

Step-by-step explanation:

30 ÷ 1/3= 10 so therefore 10 students walk to school.

Answer:

Rowing speed: 10.6 miles per hour
speed of the current: 3.8 miles per hour.

Step-by-step explanation:

Let the team's rowing speed in still water be "x" and the speed of the current be "c".

x + c = 14.4

x - c = 6.8

(x + c) + (x - c) = 14.4 + 6.8

2x = 21.2

x = \(\frac{21.2}{2}\)

x = 10.6

10.6 + c = 14.4

c = 14.4 - 10.6

c = 3.8

The team's rowing speed in still water is 10.6 miles per hour, and the speed of the current is 3.8 miles per hour.

The function (x3 + 2x)/(2x + 1) is o(x2) as x approaches 0.

To prove that (x3 + 2x)/(2x + 1) is o(x2), we need to show that its limit as x approaches 0 is 0. We can use L'Hopital's Rule to evaluate the limit:

lim x→0 (x3 + 2x)/(2x + 1)

= lim x→0 (3x2 + 2)/(2)

= 1

Since the limit of (x3 + 2x)/(2x + 1) as x approaches 0 is 1, which is not equal to 0, the function is not O(x2) as x approaches 0. However, since the limit of the function divided by x2 as x approaches 0 is equal to 0, we can conclude that (x3 + 2x)/(2x + 1) is o(x2) as x approaches 0.

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