How do I find the period of a sine/cosine function??
For Example:

Answer:

yes because if you factor you get (x-1)^2(x+1), and then if you solve that for the roots you get 1, 1, and -1

Answer: Is true

Step-by-step explanation:

To determine how long it takes for $2900 to double when invested at a continuous compound interest rate of 55%, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A is the final amount

P is the initial principal

e is the base of the natural logarithm (approximately 2.71828)

r is the interest rate

t is the time in years

In this case, we want to find the time it takes for the amount to double, so we have:

2P = P * e^(rt)

Dividing both sides by P, we get:

2 = e^(rt)

Taking the natural logarithm of both sides, we have:

ln(2) = rt

Solving for t, we get:

t = ln(2) / r

Substituting the given interest rate of 55% (0.55) into the equation, we can calculate the time it takes for the investment to double:

t = ln(2) / 0.55 ≈ 1.259 years

Therefore, it takes approximately 1.259 years for $2900 to double when invested at a continuous compound interest rate of 55%.

Learn more about invested here : brainly.com/question/17252319

#SPJ11

Answer: 47/30

Step-by-step explanation:

1) Find the common denominator

2/3 + 9/10

10/10 * 2/3 + 9/10 * 3/3

2) Add the numerator

20/30 + 27/30

47/30

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

<95141404393>

Answer:

The probability of a sure event is 1.

We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that a) the sample may not be truly random.

Strictly speaking, a 95% confidence interval means that if we were to take 100 different samples and calculate a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean (μ). In practice, however, we take one random sample and generate one confidence interval, which may or may not contain the true mean. The observed interval may overestimate or underestimate μ. Consequently, the 95% CI is the likely range of the true, unknown parameter. A confidence interval does not reflect the variability in the unknown parameter. Rather, it reflects the amount of random error in the sample and provides a range of values ​​that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is a range of possible values ​​of a parameter (defined as a point estimate + margin of error) with a specified confidence level (which is similar to a probability).

For more information about confidence intervals, visit

https://brainly.com/question/26658887

#SPJ4

let's first convert this to number form.

3^6 / 3^3= what?

to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.

3^6 / 3^3 = 3^6-3=3^3

Answer:

The answer is B

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

y > 5x-4

This inequality is greater than, so it would be a dotted line

You would have a solid line when it is greater than or equal to ≥  or less than or equal to ≤

The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

To know more about rate change of volume click on,

https://brainly.com/question/22716418

#SPJ1

Answer:

Step-by-step explanation:

bc²-2a/b=6(3)²-2×12/6=54-4=50

If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Quantitative order:

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Know more about quantitative data here:

https://brainly.com/question/24492737

#SPJ4

Answer:

x = 1.5

Step-by-step explanation:

5x - 5 - 3x + 2 = 0

Combine like terms

2x - 3 = 0

Isolate variable x

Add 3 to both sides

2x = 3

Divide both sides by 2

x = 3 ÷ 2

x = 1.5

Answer:

3 3/4 yards

Step-by-step explanation:

6*5/8=3 3/4

Answer:

c

Step-by-step explanation:

using the continously compounded formula, let a be unknown, p= 530, r be 0.05 and t be 12.

the equation would then be a=530e to the (0.05*12)th power, so that's why it's c

The amount of money after 12 years is $965.66. Therefore, option C is the correct answer.

Continuously compounded interest means that an account balance is constantly earning interest, as well as refeeding that interest back into the balance so that it, too, earns interest.

The continuous compound interest formula is \(P(t)=P_0e^{rt}\).

Where, P(t)=value at time t, \(P_0\) =original principal sum, r=nominal annual interest rate and t= length of time the interest is applied

Now, \(P(12)=530\times e^{0.05\times12}\)

⇒ \(P(12)=530\times e^{0.6}\)

⇒ P(12)= 530×1.822

⇒ P(12)= $965.66

The amount of money after 12 years is $965.66. Therefore, option C is the correct answer.

Learn more about the continuous compound interest here:

https://brainly.com/question/17185294.

#SPJ2

Principal, P = $ 300,000

Rate, R =  20%

Time, T = 30 years

The down payment would be 300,000 x 20% = $60,000.

The principal for the home loan after the down payment would be 300,000 - 60,000 = $240,000.

The total amount owed to the bank including principal and interest would be 240,000 + 232200 = $462200.

To calculate the monthly payment for a 30 year mortgage, you would use the formula:

(principal + interest) / (number of months in 30 years)

which would be ($462200) / (360 months) = $1283.33

To calculate the total monthly cost including another 300 per month for taxes and 150 per month for insurance, you would add the mortgage payment to the additional costs:

1283.33 + 300 + 150 = $1733.33.

Learn more about Principal Calculations on

https://brainly.com/question/12204314

#SPJ1

The term "quadratic" refers to something that is related to the mathematical concept of a quadratic function or equation.

In mathematics, a quadratic function is a polynomial function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which has a symmetric U-shape.

Quadratic equations can be solved using a variety of methods, including factoring, completing the square, and using the quadratic formula. They have many applications in physics, engineering, economics, and other fields.

In everyday language, the term "quadratic" is sometimes used to describe something that has a parabolic or U-shaped curve, or to refer to something that is complex or difficult to understand.

Brainliest?

Answer:

a function

Step-by-step explanation:

Distance between the points D and E is \(5\sqrt{3}\) and the mid point of the line segment joining D and E is (1/2,5/2,7/2) .

Distance Formula is used to calculate distance between two given points.

the distance between points A(a,b,c) and B(x,y,z) is given by \(\sqrt{(x-a)^{2}+(y-b)^{2}+(z-c)^{2} }\)

Mid point formula the mid point M(m₁,m₂,m₃) between the points  A(a,b,c) and B(x,y,z) is given by M(m₁=\(\frac{a+x}{2}\),m₂=\(\frac{b+y}{2}\),m₃=\(\frac{c+z}{2}\))

To calculate the distance between the points D(0,0,0) and E(1,5,7) we will use distance formula.

Substituting the values in Distance formula we get

d=\(\sqrt{(1-0)^{2}+(5-0)^{2}+(7-0)^{2} }\)

=\(\sqrt{1^{2} +5^{2} +7^{2} }\)

=\(\sqrt{1+25+49}\)

=\(=\sqrt{75} \\ 5\sqrt{3}\)

to determine the midpoint M we will use mid point formula.

Substituting the values of the given points in the mid point formula we get

mid point = \((\frac{0+1}{2} ,\frac{0+5}{2} ,\frac{0+7}{2} )\)=(1/2,5/2,7/2)

Therefore , Distance between the points D and E is \(5\sqrt{3}\) and the mid point of the line segment joining D and E is (1/2,5/2,7/2) .

Learn more about Distance Formula here https://brainly.com/question/25366840

#SPJ4

The length of OC​ is 11.2 cm.

Here, we have,

given that,

there are two triangles

AOD and, COD

we have,

AD = 5cm, OD = 4cm, CD = 14cm

let,  the length of OC​ = x cm

now, we get,

AD/CD = OD/OC

substituting the values,

5/14 = 4/x

or, x = 4 *14 /5

or, x = 11.2

Hence, The length of OC​ is 11.2 cm.

To learn more on triangle click:

brainly.com/question/29126067

#SPJ1

Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

Answer:

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

Multiply the two numbers first:

Round the number to the first digit:

Write 80000000 as the product of a single digit and a power of 10:

Answer:

x = -3

Step-by-step explanation:

f(x) = 4x + 11

f(x) = -1

Substitute -1 for f(x)

-1 = 4x + 11

Subtract 11

-12 = 4x

Divide by 4

-3 = x

x = -3

The value of x is -3 when f(x) = -1.

A function is a relation where every input is connected to only one possible output from a set of available inputs.

The given function is f(x) = 4x + 11.

Substitute f(x) =-1 into the given function:

-1 = 4x + 11

4x = -1 -11

4x = -12

x = -3

Hence, the value of x is -3 when f(x) = -1.

Learn more about functions:

https://brainly.com/question/28193995

#SPJ5

Answer:

40.8696% increase (40.9%)

Answer:

Step-by-step explanation:

“the center of the ellipse is located below the given co-vertex”

Co-vertex and center are vertically aligned, so the ellipse is horizontal.

Equation for horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

with

a² ≥ b²

center (h,k)

vertices (h±a, k)

co-vertices (h, k±b)

foci (h±c,k), c² = a² -b²

One co-vertex is (-8,9), so h = -8.

One focus is (4,4), so k = 4.

Center (h,k) = (-8,4)

c = distance between center and focus = |-8 - 4| = 12

b = |9-k| = 5

a² = c² + b² = 169

(x+8)²/169 + (y-4)²/25 = 1

The probability that on any given day the office receives exactly 3 calls is 0.0076.

What is probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Here, we let

Let X be the number of calls received in an office per day.

X≈Poison(λ=10)

P(X = x) = e^(-λ)λˣ/x!; x = 0, 1, 2.....

= 0, otherwise

The probability that on any given day the office receives exactly 3 calls: 0.0076

P(X = 3) = e^(-10)10³/3!

P(X=3) = 0.0076

Hence, the probability that on any given day the office receives exactly 3 calls is 0.0076.

To learn more about the probability from the given link

https://brainly.com/question/25638875

#SPJ4

The series transformation that shows congruency is D, Reflect hexagon A over the x-axis, rotate it 90° counterclockwise about the origin, and translate it 3 units to the right.

To show that two polygons are congruent, we need to perform a series of rigid transformations (translations, rotations, and reflections) that will map one polygon onto the other.

In this case, hexagon A can be mapped onto hexagon B through the following transformations:

Reflect hexagon A over the x-axis

Rotate the resulting polygon 90° counterclockwise about the origin

Translate the resulting polygon 3 units to the right

These transformations preserve the size and shape of the polygon, and they map every point of hexagon A onto the corresponding point of hexagon B. Therefore, we can conclude that hexagon A is congruent to hexagon B.

Learn more on congruency here: https://brainly.com/question/29268713

#SPJ1

Answer:

188 wrestlers

Step-by-step explanation:

Given

\(F =5w + 75\)

\(F = 1013\)

Required

Determine the number of wrestlers (w)

We have:

\(F =5w + 75\)

Substitute: \(F = 1013\)

\(1013 = 5w + 75\)

Collect like terms

\(5w = 1013 - 75\)

\(5w = 938\)

Divide both sides by 5

\(w = 187.6\)

Round up to get the number of wrestlers

\(w = 188\)

Answer:

Step-by-step explanation:

It is necessary to add the whole numbers of fractions from left to right in order to solve this problem.

First, you have to add the whole numbers.

3+1=4

After that, you can combine by a fraction.

6*3=18

18/5+ 1 1/6

1+6=7

7/6

Rewrite the problem down.

18/5+7/6

Solve.

5*6=30

143/30

=23/30

\(\boxed{\sf{4\dfrac{23}{30} }}\)

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Loren is wrong

Step-by-step explanation:

365.35 multiplied by 614 = 224324.9