a water faucet is turned 5/7 to the right side, and then 1/4 to the right again. How far is the water faucet turned

Answer:

Step-by-step explanation:

V=1/3 π 10²×9=300 π cm³

Answer:

300pi cm³

Step-by-step explanation:

Use the formula to find the volume of the cone: (pi)r²(h÷3)

Hope this helps :)

The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

To know more about water level visit:

https://brainly.com/question/30015643

#SPJ11

Answer:

It is 45.

Step-by-step explanation:

Divide 45 by 15. The answer is 3, so it would take her 3 minutes to drain the aquarium.

The system of equations is:

x + y = 10

4x + 3y = 36

The solution is x = 6 and y = 4.

A)

Let's define the variables:

We can write the system of equations:

x + y = 10

4x + 3y = 36

Isolate x on the first equation to get:

x = 10 - y

Replace that in the other one:

4*(10 - y) + 3y = 36

40 - 4y + 3y = 36

40 - y = 36

40 - 36 = y

4 = y

And thus, the value of x is:

x = 10 - y = 10 - 4 = 6

They bought 6 cheese wafers and 4 chocolate ones.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer: c

equation; x + 2y = 5 ... 0 + 2y = 5 2y = 5 2y/2 = 5/2 y = 5/2 (0, 5/2) Put the value of y = 0,

Answer:

16w^16v^12

Step-by-step explanation:

Distribute exponent

Evaluate the exponent

Power of a power

Multiply the numbers

Power of a power

Multiply the numbers agian

Answer:

16\(w^{16}\)\(y^{12}\)

Step-by-step explanation:

\((-2w^{4}y^{3}) ^{4}\)

each term inside the parenthesis is raised to the power of the exponent outside the parenthesis.

= \((-2)^{4}\) × \((w^{4}) ^{4}\) × \((y^3)^{4}\)

using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

= 16 × \(w^{4(4)}\) × \(y^{3(4)}\)

= 16 × \(w^{16}\) × \(y^{12}\)

= 16\(w^{16}\)\(y^{12}\)

(c)

The answer in the space provided is nine

This is because Mayan temples usually has nine levels or nine steps in which there temples are being used for ceremonies, rituals and for the gods as a way of having it to be used for other important functions.

Culture is the holistic combination of learned and shared beliefs, values, and practices that create cohesion in a group and is the core concept within which anthropologists work. It is dynamic, evolving based on the needs of the people within it and as one culture comes into contact with another.

For more information about pyramids, visit

https://brainly.com/question/218706

#SPJ4

The evaluated probability that there have been 2 occurrences in ten minutes  is 0.0842, under the condition that the mean number of occurrences in ten minutes is 5.

Here we have to apply  the Poisson distribution formula. The formula is
\(P(X = k) = (e^{-g} * g^k) / k!,\)
Here
X = number of occurrences,
k = number of occurrences we want to find the probability for,
e = Number of Euler's
g = mean number of occurrences in ten minutes.

For the given case, g = 5 since
Therefore,
P(X = 2) = (e⁻⁵ × 5²) / 2!
≈ 0.0842.

Hence,  after careful consideration the  evaluated probability that there are 2 occurrences in ten minutes is  0.0842.

To learn more about probability
https://brainly.com/question/13604758
#SPJ4

Answer:

The curve meets the coordinate axes at the points A(0, 1 – k) and 1 B(. ) ... 2x + 1. (d) Find the value of k. (4). (Total 12 marks). 7. –5. 5 x y. O. M (2, 4).Step-by-step explanation:

step 1

Find out the area of the circle

where

r=4 units

substitute

step 2

Find out the area of the sector

Remember that

The area of the complete circle subtends a central angle of 2pi radians

so

Applying proportion

Find out the area of the sector by a central angle of 2pi/3 radians

16pi/2pi=x/(2pi/3)

solve for x

x=8*(2pi/3)

x=16pi/3 unit2

the area of the sector is 16pi/3 unit2

step 3

Find out the circumference of the circle

step 4

Find out the arc length by a central angle of 2pi/3 radians

Remember that

The circumference of the circle subtends a central angle of 2pi radians

so

Applying proportion

8pi/2pi=x/(2pi/3)

x=4*(2pi/3)

x=8pi/3 units

therefore

Verify each statement

N 1 -----> false

N 2 ----> true

N 3 ---> true

Answer:

x = 30

y = 7

Step-by-step explanation:

The triangle given is an equilateral triangle.

Equilateral Triangle

A triangle that has same length of all sides of triangle. They have same congruent internal angles as well.

So, If length of one side = 7

Length of other two sides will also be same i,e 7

Length of 2nd side = 7

Length of 3rd side = 7

Now, finding angles and value of x

The one angle is 2x, so the other two angles will be also 2x (because all angles of equilateral triangle are same)

We know that sum of all sides of angles of triagle = 180

We can write: \(2x+2x+2x=180\)

Solving the equation to find x

\(2x+2x+2x=180\\6x=180\\x=180/6\\x=30\)

So, x = 30

Since y is not given in picture, I think it is length of other sides i.e y = 7

Answer:they are both triangles, they both have 102 degrees.

Step-by-step explanation:

Answer:

8 GB

Step-by-step explanation:

Cost = sum of fees 1, 2, and 3

C = 56 + .95g +  .08t

so

68 = 56 + .95g + .08(55)

68 = 56 + .95g + .08(55)

68 = 56 + .95g + 4.4

68 - 56 - 4.4 = .95g

7.6 = .95 g

7.6/.95 = g

8 = g

The solution of the recurrence relation is \(a_n=3.2^n\)

For given question,

We have been given a recurrence relation \(a_n = 2a_{n-1}\) for n ≥ 1

and an initial condition \(a_0=3\)

Let \(a_n\) = m², \(a_{n-1}\) = m and \(a_{n-2}\) = 1

So from given recurrence relation we get an characteristic equation,

⇒ m² = 2m

⇒ m² - 2m = 0                     .........( Subtract 2m from each side)

⇒ m(m - 2) = 0                     .........(Factorize)

⇒ m = 0    or  m - 2 = 0

⇒ m = 0   or   m = 2

We know that the solution of the recurrence relation is then of the form

\(a_n=\alpha_1 {m_1}^n + \alpha_2 {m_2}^n\)  where \(m_1,m_2\) are the roots of the characteristic equation.

Let, \(m_1\) = 0   and \(m_2\) = 2

From above roots,

\(\Rightarrow a_n=\alpha_1 {0}^n + \alpha_2 {2}^n\\\\\Rightarrow a_n=0+\alpha_2 {2}^n\\\\\Rightarrow a_n=\alpha_2 {2}^n\)

For n = 0,

\(\Rightarrow a_0=\alpha_2 {2}^0\\\\\Rightarrow a_0=\alpha_2 \times 1\\\\\Rightarrow a_0=\alpha_2\)

But  \(a_0=3\)

This means \(\alpha_2=3\)

so, the solution of the recurrence relation would be \(a_n=3.2^n\)

Therefore, the solution of the recurrence relation is \(a_n=3.2^n\)

Learn more about the recurrence relation here:

https://brainly.com/question/27618667

#SPJ4

Answer: 9 s

Step-by-step explanation:

Given:

h(t) = -16t² + 144t

Find:

time when h=0    They want to know when the rocket hits the ground.  This happens when h=0

Solution:

0 = -16t² + 144t                     >Take out Greatest Common Factor

0 = (-16t )(t - 9)                      >Set each parenthesis = 0

(-16t ) = 0   and    (t - 9)=0           >Solve for t

t = 0          and      t =  9              >When the rocket launches t=0 and h=0

                                                      Also,    t=9 when h=0

t=9 s

Answer:

1.we know the perimeter of the triangle=x-3+x+6+x=3x+3

so,answer is (b)3x+3

2.area of the triangle=1/2*b*h

=1/2*x+2*2x+6=x+2*2x+6/2=2x^2+6x+4x+12/2=2x^2+10x+12/2=2(x^2+5x+6)/2=x^2+5x+6

so,answer is(b)x^2+5x+6

Answer:

Step-by-step explanation:

a + b)^6 will have 7 terms so you want row 6 of the triangle 1 6 15 20 15 6 1

so (a + b)^6 = a^6 + 6a^(5)b + 15a^(4)b^2 + 20a^(3)b^3 + 15a^(2)b^4 + 6ab^5 + b^6

given a = d and b = -5y

∴ (d − 5y)^6 = d^6 + 6d^(5)(-5y) + 15d^(4)(-5y)^2 + 20d^(3)(-5y)^3 + 15d^(2)(-5y)^4 +

The average value of  the function f on the interval \(∫1(3f(x) + 2x)dx\) is 56.

The average value of the function f on the interval 1 ≤ x ≤ 4 is 8 To Find: The value of\(∫1(3f(x) + 2x)dx\)  Approach: We know that if the average value of the function f on the interval [a,b] is given by Avg.

value of \(f = (1/(b-a)) ∫baf(x)dx\)  Then, \(∫baf(x)dx = Avg. value of f * (b-a)\)Formula Used: \(∫baf(x)dx = Avg. value of f * (b-a)\)

The average value of the function f on the interval 1 ≤ x ≤ 4 is 8Therefore, Avg. value of \(f = (1/(4-1)) ∫41f(x)dx⇒ Avg.alue of f = (1/3) ∫41f(x)dx\)Multiplying both sides by (3),

we ge\(t∫41f(x)dx = 3 * 8 = 24\)  Using the formula, we get\(∫1(3f(x) + 2x)dx= 3∫1f(x)dx + 2∫1xdx⇒ 3 * 24 + 2[(1/2) * (1)^2] - 2[(1/2) * (4)^2]⇒ 72 - 16⇒ 56\)

To know more about function refer here:

https://brainly.com/question/30567720#

#SPJ11

Answer:

15, 9, 3n

Step-by-step explanation:

Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls

Answer:

What math game is this?

Oh and this guy is correct.

Step-by-step explanation:

Answer:

if i labeled the triangle correctly BC= sqrt 97, ZX=32sqrt 2

Step-by-step explanation:

join my stream and tell me how to label the triangle

(ChildOfHermes)

Answer:

Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos

Step-by-step explanation:

Answer:

7 students

Step-by-step explanation:

72/100 × 25 students = 18

18 students are interested in mathematics

therefore, 25 - 18 = 7 students are not interested

The probabilities of having 0, 1, 2, and 3 access lines in use are approximately 0.000048, 0.001636, 0.011072, and 0.047368, respectively. These probabilities are calculated using the Poisson distribution formula based on the given mean arrival rate of 34 calls per hour and a service rate of 18 calls per hour.

To determine the probabilities of having 0, 1, 2, and 3 access lines in use, we can use the Poisson distribution formula. Given a mean arrival rate of 34 calls per hour and a service rate of 18 calls per hour, we can calculate the probabilities as follows:

For 0 access lines in use, the probability can be calculated using the formula \(P(X = 0) = \frac {e^{-\lambda} * \lambda^0}{0!}\) where λ is the mean arrival rate. Substituting the values, we have \(P(X = 0) = e^{-34} * (34^0) / 0! = 0.000048\).

Similarly, for 1, 2, and 3 access lines in use, we can calculate the probabilities using the same formula. The probabilities are:

\(P(X = 1) = e^{-34} * (34^1) / 1! = 0.001636\)
\(P(X = 2) = e^{-34} * (34^2) / 2! = 0.011072\)
\(P(X = 3) = e^{-34} * (34^3) / 3! = 0.047368\)

Therefore, the probabilities of having 0, 1, 2, and 3 access lines in use are approximately 0.000048, 0.001636, 0.011072, and 0.047368, respectively.

To learn more about Poisson distribution, visit:

https://brainly.com/question/10196617

#SPJ11

Answer:

where's the triangle. I can try and help

Answer :-

Since here, no parameters are given to calculate the perimeter, we use the formula to state the perimeter of the triangle :-

Perimeter of a triangle is given as :-

P = a+b+c

where, a, b and c are the measurement of the sides of the triangle.

Answer:

1: x=y-3    linear equation : y=x+3

2:y=-2x-3  linear equation : y=-2x-3

3: -4y+6 =2 linear equation : y=2-6/-4 ⇒ y=1

4:2/3 x-1/3y=2 , linear equation : y=2x-6

 -1/3 y=2-2/3 x

 y=-6+2x

13: 5x+25=y² not linear

y = √5x+25

14 : 8+y=4x linear y=4x-8

15: 9xy-6x=7 not linear

16: 4y²+9=-4 ⇒ y²=-4/4 -9/4 ⇒y=√-1-2.25 ⇒y=√-3.25 not linear

17: 12x=7y-10y  linear : y=12x/-3 ⇒ y=-4x

18:y=4x+x linear y=5x

First, let's calculate the monthly interest rate (i), which is the APR divided by 12 months:

i = APR / 12 months

i = 5.3% / 12

i = 0.00442 or 0.442%

Next, let's calculate the number of months (n) for the mortgage, which is 15 years multiplied by 12 months:

n = 15 years x 12 months/year

n = 180 months

Now, let's calculate the monthly payment (PMT) using the following formula:

PMT = P * i / \((1 - (1 + i)^(-n)\))

where P is the principal amount, i is the monthly interest rate, and n is the number of months.

PMT = $325,000 * 0.00442 / (1 - \((1 + 0.00442)^(-180)\)

PMT = $2,613.67 (rounded to the nearest cent)

Now, let's create the amortization table for the first two months:

Month | Payment | Interest | Principal | Remaining Balance

1 | $2,613.67 | $1,431.25 | $1,182.42 | $323,817.58

2 | $2,613.67 | $1,428.60 | $1,185.07 | $322,632.51

For each month, the Payment column shows the fixed monthly payment, the Interest column shows the calculated interest based on the remaining balance multiplied by the monthly interest rate, the Principal column shows the portion of the payment that goes towards reducing the principal, and the Remaining Balance column shows the remaining balance after subtracting the principal payment from the previous remaining balance.

The amortization table will continue in this manner for the remaining months until the mortgage is paid off.

Learn more about “ monthly interest rate “ visit here;

https://brainly.com/question/11916359

#SPJ4

The interest and principal amounts for the first payment are:

Interest = $325,000 * 0.0044167 = $1,426.25

Principal = $2,549.67 - $1,426.25 = $1,123.42

Balance = $325,000 - $1,123.42 = $323,876.58

For the second payment, we start with the new balance of $323,876.58 and apply the formulas again:

Interest = $323,876.58 * 0.0044167 = $1,420.47

Principal = $2,549.67 - $1,420.47 = $1,129.20

Balance = $323,876.58 - $1,129.20 = $322,747.38

To complete the two-month amortization table, we need to calculate the monthly payment, as well as the principal and interest amounts for each payment.

The formula for calculating a fixed-rate mortgage payment is:

\(Payment = P * r * (1 + r)^n / [(1 + r)^n - 1]\)

Where:

P = Principal amount borrowed

r = Monthly interest rate

n = Total number of payments

First, let's calculate the monthly interest rate.

Since the APR is an annual rate, we need to divide it by 12 to get the monthly rate:

Monthly interest rate = 5.3% / 12 = 0.0044167

Next, we need to calculate the total number of payments.

Since this is a 15-year mortgage, and we're completing a two-month amortization table, the total number of payments is:

Total number of payments = 15 years * 12 months per year = 180

Number of payments for two months = 2

Now we can plug these values into the formula to calculate the monthly payment:

Payment = \($325,000 * 0.0044167 * (1 + 0.0044167)^180 / [(1 + 0.0044167)^180 - 1]\)

= $2,549.67

So the monthly payment is $2,549.67

Now we can use this value to complete the two-month amortization table:

Payment Interest Principal Balance

Month 1 $1,426.25 $1,123.42 $323,876.58

Month 2 $1,420.47 $1,129.20 $322,747.38

To calculate the interest and principal amounts for each payment, we use the following formulas:

Interest = Balance * Monthly interest rate

Principal = Payment - Interest

Balance = Balance - Principal

We start with the initial balance of $325,000 and apply the formulas for each payment.

The interest and principal amounts for the first payment are:

Interest = $325,000 * 0.0044167 = $1,426.25

Principal = $2,549.67 - $1,426.25 = $1,123.42

Balance = $325,000 - $1,123.42 = $323,876.58

For the second payment, we start with the new balance of $323,876.58 and apply the formulas again:

Interest = $323,876.58 * 0.0044167 = $1,420.47

Principal = $2,549.67 - $1,420.47 = $1,129.20

Balance = $323,876.58 - $1,129.20 = $322,747.38

And so on, for each subsequent payment.

For similar question on amortization.

https://brainly.com/question/29485954

#SPJ11

Answer:

$71.82

Step-by-step explanation:

57 = original price

Sales tax = 6%. To find 6% of 57, we can first convert 6% to a decimal and then multiply that by the original amount. To convert 6% to a decimal, we divide by 100. 6/100 = 0.06. 0.06 * 57 = 3.42 as the sales tax.

Similarly, the percent tip as a decimal is 20/100 = 0.2. The tip amount is thus 0.2 * 57 = 11.4. Note that we multiply by 57 because that is the pre-tax amount.

Add these three values up to get

57 + 3.42 + 11.4 = 71.82

It is created during the time period being studied and can include diaries, letters, photographs, speeches, and government documents. In the case of Akiko's research question on the history of the discovery of vitamins, a primary document would be a document that was created during the time when the discovery of vitamins was being made.

Option a, scientific publications about the relationship between the vitamin and a disease state, is likely a primary document since it is a scientific report that would have been published around the time of the discovery of vitamins. This report would be a first-hand account of the research being conducted on vitamins and their relationship to disease. Option c, advertisements selling vitamin supplements, is not likely a primary document since it is a commercial product and not a historical record.

Option d, a medical school textbook explaining the progression of vitamin deficiency, is not likely a primary document since it is a secondary source that summarizes information on the topic.In summary, option a, scientific publications about the relationship between the vitamin and a disease state, is the most likely example of a primary document for Akiko's research question on the history of the discovery of vitamins.

To know more about Akiko's:

https://brainly.com/question/26917853

#SPJ11