. Quantas senhas com 4 algarismos diferentes podemos escrever com os algarismos 1, 2, 3, 4, 5, 6?

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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The main function is given by:

f (x) = sine (x)

We then have the following transformations:

Reflections:

Reflection or turning is the mirror image of a figure. It can also be said that it is the turning of points and graphs around the axes.

To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)

f (x) = - sine (x)

Expansions and vertical compressions:

To graph y = a*f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f (x) = - 2 * sine (x)

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

f (x) = - 2 * sine (x) + 3

Answer:

C. reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up

The set of transformations which is needed to graph f(x) = –2sin(x) + 3 is reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up, the correct option is C.

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).

We are given that;

The function= f(x) = –2sin(x) + 3

Now,

To graph f(x) = –2sin(x) + 3 from the parent sine function y = sin(x), we need to apply the following transformations:

A reflection across the x-axis, because of the negative sign in front of the 2.

A vertical stretching by a factor of 2, because of the absolute value of the coefficient of sin(x), which is 2.

A vertical translation 3 units up, because of the constant term 3.

Therefore, by transformations answer will be Reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up.

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The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

\(PV = pmt x (1 - (1 + r)^-n) / r\)

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = \((1 + Monthly rate)^12 - 1\)

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =\((1 + r/n)^n - 1\)

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

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Answer:

the value of x is 20 because is u add 70 + 80 + 10 + and m which is 20, u get 180

Step-by-step explanation:

Answer:

The answer is: (3x+4y)^2

Step-by-step explanation:

hope this helps      :)

The p-value for the given test statistic is 0.0385.

Given that a study is conducted for analyzing the proportion of women over 40 who regularly have mammograms is significantly less than 0.12.

With H1 : p << 0.12, the test statistic of z = −1.768 z = -1.768.

We need to find the p-value,

To find the p-value using the given test statistic, we need to use a standard normal distribution table or a calculator.

Since the alternative hypothesis is "p << 0.12," it implies a left-tailed test.

The p-value represents the probability of observing a test statistic as extreme as the one obtained (or more extreme) assuming the null hypothesis is true.

In this case, the test statistic is z = -1.768.

Using a standard normal distribution calculator, we can find the p-value associated with the test statistic. The p-value for a left-tailed test is calculated as the area under the curve to the left of the test statistic.

Entering z = -1.768 into the calculator, the p-value is approximately 0.0381 (rounded to four decimal places).

Therefore, the p-value for the given test statistic is 0.0385.

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Answer:

x=3/4, x=0.75

Step-by-step explanation:

Reason:

Vertical angles form after intersecting two lines in an X shape. The vertical angles are opposite one another. They do not have to be vertically aligned.

The other pair of vertical angles are ADB and XDF.

Vertical angles are always congruent.

Answer:

x > -4

Step-by-step explanation:

\(\frac{x}{2} - 3>-5\\x-6>-10\\x>-10+6\\x>-4\)

The city with a doubling time of 83 years and an initial population of 88200 years will reach a population of 705600 habitants in 249 years.

In this question we have a city whose population is doubled every 83 years. Hence, we can model the growth of the city with an exponential model of the form:

\(y = 88200 \cdot 2^{\frac{t}{83} }\)     (1)

Where:

If we know that t = 249, then the population of the city after 249 years is:

\(y = 88200 \cdot 2^{249/83}\)

y = 705600

The city with a doubling time of 83 years and an initial population of 88200 years will reach a population of 705600 habitants in 249 years.

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Answer:

The rate of the increasing volume is 50000\(\pi \frac{mm^{3}}{s}\)  

Step-by-step explanation:

The rate of the increasing volume can be calculated as follows

The formula to calculate the volume V of a sphere is

\(V=\frac{4}{3} \pi r^{3}\)

Where r is the radius

It is given that the radius is increasing at 5 mm/s, then it follows that

\(\frac{dr}{dt} =5\frac{mm}{s}\)

Since volume V is a function of radius  r, and radius  r is the function of time t, then the chain rule formula to find derivatives is introduced here

\(\frac{dV}{dt}=\frac{dV}{dr}\cdot \frac{dr}{dt}\)

The first step is to find \(\frac{dV}{dr}\)

\(V=\frac{4}{3} \pi r^{3}\)

By the formula of  \(\frac{d}{dx} (x^{n})=nx^{n-1}\), then for \(V=\frac{4}{3} \pi r^{3}\)

\(\frac{dV}{dr}=3\cdot \frac{4}{3} \pi r^{3-1}\)

\(\frac{dV}{dr}=4 \pi r^{2}\)

The second step is to find \(\frac{dV}{dt}\)

\(\frac{dV}{dt}=\frac{dV}{dr}\cdot \frac{dr}{dt}\)

Substitute \(4 \pi r^{2}\)  for  \(\frac{dV}{dr}\) , \(5\frac{mm}{s}\)  for  \(\frac{dr}{dt}\)

\(\frac{dV}{dt}=4 \pi r^{2}\cdot 5 \frac{mm}{s}\)

For the given radius rate, the formula of the increasing volume is

\(\frac{dV}{dt}=4 \pi r^{2}\cdot 5 \frac{mm}{s}\)

Since the given diameter of the sphere is 100 mm, then the radius of the sphere is

radius = \(\frac{diameter}{2}\)

radius = \(\frac{100~\text{mm}}{2}\)

radius = 50 mm

The third step is to find the rate of increasing volume of the given sphere

Substitute 50 for r, then it follows that

\(\frac{dV}{dt}=4 \pi (50~\text{mm})^{2}\cdot 5 \frac{mm}{s}\)

\(\frac{dV}{dt}=4 \pi ~2500~\text{mm}^{2}\cdot 5 \frac{mm}{s}\)

\(\frac{dV}{dt}=50000 \pi \cdot \frac{mm^{3}}{s}\)

Hence the rate of increasing volume of the given sphere is \(50000 \pi \cdot \frac{mm^{3}}{s}\)

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Answer:

You shouldn't blame your mom. You are more than capable of getting 80's that is the bare minimum. Your mom does not want you to fail, try harder and get better grades. 70's are not the best

Answer:

87.92

Step-by-step explanation:

The formula for getting volume from a cylinder is πr2h (PixRaidusx2xHieght) now if we put this problem into the formula (3.14x2x2x7) we'd get 87.92.

We are to solve the given equations below:

1) e² - 1 = 0

2) e² + 1 = 022

3) e²² + 2e² - 300 = 0

i) Solution:

Given that e² - 1 = 0

Add 1 to both sides to get: e² = 1

Taking square roots of both sides we get;

e = ±1

The solution to e² - 1 = 0 is e = ±1

ii)  Given that e² + 1 = 0

Subtracting 1 from both sides of the equation we get; e² = -1

Notice that there is no real number which when squared will give a negative number, hence the equation has no solution.

iii) Given that e²² + 2e² - 300 = 0

Let us solve the equation using the quadratic formula. The quadratic formula states that for a quadratic equation of the form ax² + bx + c = 0, the solutions are given by;

x = [-b ± √(b² - 4ac)]/2a

In our case,

a = 1,

b = 2 and

c = -300

Substituting these values into the quadratic formula we get;

x = [-2 ± √(2² - 4(1)(-300)]/2(1) x

= [-2 ± √(4 + 1200)]/2x

= [-2 ± √1204]/2

= [-2 ± 2√301]/2

= -1 ± √301

The two solutions are:

e = -1 + √301 and

e = -1 - √301

We have been asked to solve three equations involving the variable e:

e² - 1 = 0,

e² + 1 = 0, and

e²² + 2e² - 300 = 0.

To solve e² - 1 = 0, we add 1 to both sides to get e² = 1.

Taking square roots of both sides gives e = ±1.

Thus, the solution to e² - 1 = 0 is

e = ±1.

For e² + 1 = 0,

subtracting 1 from both sides of the equation gives

e² = -1.

Notice that there is no real number which when squared will give a negative number, hence the equation has no solution.

To solve e²² + 2e² - 300 = 0, we use the quadratic formula, which states that for a quadratic equation of the form

ax² + bx + c = 0,

the solutions are given by;

x = [-b ± √(b² - 4ac)]/2a

In our case,

a = 1,

b = 2 and

c = -300.

Substituting these values into the quadratic formula gives the solutions:

e = -1 + √301 and

e = -1 - √301.

In conclusion, the solutions to the given equations are:

e² - 1 = 0 has two solutions:

e = ±1e² + 1 = 0 has no real solutions

e²² + 2e² - 300 = 0 has two solutions:

e = -1 + √301 and

e = -1 - √301

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The true statement of the right triangle are as follows;

sin ∅ = 4 / √97

tan β = 9 / 4

cos β = 4 / √97

4² + 9² = √97

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The side and angles of the right angle triangle can be found using trigonometric ratios as follows:

sin ∅ = opposite / hypotenuse

cos ∅ = adjacent / hypotenuse

tan ∅ = opposite / adjacent

Therefore, using Pythagoras's theorem,

c² = a² + b²

where

Therefore,

4² + 9² = (√97)²

4² + 9² = √97

Using trigonometry,

sin ∅ = 4 / √97

tan β = 9 / 4

cos β = 4 / √97

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Answer:

2) x/ 2y^2

Explanation:

1) reduce the fraction:

27x^3 -----> x^3

216y^6----> 8y^6

2) evaluate the cube root

x

------

2y^2

Answer:

x/2y²

Step-by-step explanation:

What is the cube root of 27?

3. because 3x3x3 = 27.

What is the cube root of 216?

6. because 6x6x6 = 216.

For the 3 on the right side, since it's a power or an exponent, we just divide by 3. Same thing for the 6 in the right.

Now, we have 3x/6y².

We need to simplify.

The GCF of 3 and 6 is 3, because 3 is the highest number that can be divided by both 3 and 6 while the results are whole numbers.

3/3 = 1

6/3 = 2

x/2y² is the answer.

The general life directions at each of our life phase is assumed as follows:

The first third of our life is typically focused on education, career development, and personal growth. During this phase, we are often trying to establish our identity and find our place in the world. This can involve completing our education, starting a career, and building meaningful relationships with others.

The second third of our life is often focused on building stability and achieving success. This may involve working towards financial security, starting a family, and establishing a sense of community. During this phase, we may be balancing the demands of work and family, and trying to find a sense of fulfillment in both areas of our life.

The third third of our life is typically focused on reflection, wisdom, and legacy. During this phase, we may be looking back on our lives and reflecting on our accomplishments and experiences. We may be seeking new ways to give back to our community and make a positive impact on the world.

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Answer:

Option B: 7x + y - 4 feet

Step-by-step explanation:  I got it right on the test. Trust me

The total perimeter of the triangular fence using the perimeter of a triangle formula is:

7x + y - 4 feet.

The perimeter of a form is the whole length enclosing it. It is the measurement of the perimeter or outline of any two-dimensional geometric shape. Many figures may have the same perimeter depending on their sizes.

The length that the shape's perimeter covers is known as the perimeter. Hence, the perimeter's units will be the same as its length units.

Now perimeter of a triangle =

Sum of all the sides of the triangular region:

= 4x + 5 + y -7 + 3x - 2

= 7x + y -4

Therefore, perimeter of the fence = 7x + y -4 feet.

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Answer:

Step-by-step explanation:

Answer:

3/4 or 0.75

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

Given expression

Find its value using logarithm rules:

The rules used above:

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

19 and 43

Step-by-step explanation:

small=n

larger=2n+5

52=2n+5+n

57=3n

19=n

Smaller=19

(19*2)+5=43

Larger=43

Answer:

Step-by-step explanation:

are the what???

Answer:

Draw open circle AT 11

Shade all numbers to the right of 11

Step-by-step explanation:

Have a great day!

Answer:

its A,B

Step-by-step explanation:

The Clara took 15.5 minutes more than usual to reach the farmers' market today, given that she walked leisurely.

Clara usually takes 22 minutes to walk briskly to the farmers' market. However, today she walked leisurely and it took her 6.5 minutes to reach the market. We need to find how much more time she took than usual to reach the market.

To find the difference in time, we need to subtract the usual time from the time she took today:

Time taken today - Usual time = Difference in time

Substituting the given values:

6.5 minutes - 22 minutes = Difference in time

Simplifying the expression:

-15.5 minutes = Difference in time.

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Answer:

1 6 inches

2 4 inches

Step-by-step explanation:

1. 2wide : 4tall

×3

6wide: 12tall

2. 6wide : 12tall

÷ 3

2wide to 4tall

Answer:

Cora worked 3 hours

Step-by-step explanation:

104 = 18x + 50 ( x = # of hours worked)

54 = 18x   ( subtracted 50 from both sides)

3 = x    ( divided both sides by 18)