Consider the function with equation
y=sin(x +
sin(x+³)+5
a) Identify the phase shift (horizontal)
b) Identify the vertical shift

Answer:

There are infinite solutions.

Think about it. The equation says essentially:

12 + any number = 12 + any number.

y + 12 = y + 10 + 2

y + 12 = y + 12

  y - y = 12 - 12

       0 = 12 - 12

       0 = 0

Step-by-step explanation:

The value k of the exponential growth rate will be 0.045.

Given that:

$228 in 1975

$472 in 1986

Let 'x' be the number of years and 'y' be the selling price. Then the equations are given as,

\(\rm 288 = P_o \times e^{k *1975} \ \ \ \ \ \ ...(1)\\\\\rm 472 = P_o \times e^{k *1986} \ \ \ \ \ \ ...(2)\)

From equations (1) and (2), then

\(e^{k(1986 - 1975)} = \dfrac{472}{288}\\\\e^{k(1986 - 1975)} = 1.63889\)

Take log on both sides, then

k x (11) = ln 1.63889

k = 0.494/11

k = 0.045

The value k of the exponential growth rate will be 0.045.

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The trigonometric Identity proof (sec²θ - 1)cot²θ = 1 is as explained below.

We want to prove that;

(sec²θ - 1)cot²θ = 1

Now, we know from trigonometric identities that;

sec²θ - 1 = tan²θ

Thus, the left hand side of our original equation can be written as;

tan²θ * cot²θ

We also know in trigonometric identities that 1/tan θ = cot θ. Thus;

tan²θ * cot²θ can be written as;

tan²θ * (1/ tan²θ)

The above will cancel out to give us 1 which is also equal to the right hand side and as such our trigonometric proof is complete.

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A quadratic equation, or second-order polynomial equation with a single variable, has the form ax^2 + bx + c = 0. The solution to the given equation is v = 7, -5 and 3

The form ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given the quadratic expression below:

(v-7)(v+5)(v-3)=0

Required

The solution to the system of equation

Equate each expression to zero calculate the value of 'v' as shown:

v - 7 = 0

v = 0 + 7

v = 7

Also, v + 5 = 0

v = 0 - 5

v = -5

Similarly, v - 3 = 0

v = 0 + 3

v = 3

Hence the solution to the given equation is v = 7, -5 and 3

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Answer:

4 Hundreds 3 Hundredths

Step-by-step explanation:

Rewriting this as an equation, we get:

400.06 - 0.03, which is 400.03

400.03 is 4 Hundreds 3 Hundredths

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

last one

Step-by-step explanation:

when u divide 3 and 4 is 0.75 and the only one the equals to that is 15/20

The answer is (d)

Step-by-step explanation:

I'm sure of it..... ; )

The mean value theorem is used to link the average rate of change and the derivative of a function.

The value of V is 8.

The givenparameters are:

Mean value theorem states that:

If  [a,b] and

(a,b),

Then there is a point c in (a,b), such that:  

From the question, we understand that: f is differentiable

This means that:

avethat:

The equation becomes

Cross mltiply

o both side

From the question, we have:

By comparisons;

Hence, the value of V is 8.

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer: I think y is 32 im not good at this tho

Step-by-step explanation:

Answer:i think it is c

Step-by-step explanation:

Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Answer:

Order from Least to Greatest

-4.5 < -0.5 < 0.3 < 0.7 < 2.3

Answer:

-4.5, -0.5, 0.3, 0.7, 2.3

The five key points of the parent function are:

The function is given as:

y = -2 sin[2(x - 45)] + 1

The above function is a sine function, and the parent function of a sine function is

y = sin(x)

The properties of the above function are:

The transformed function is given as:

y = -2 sin[2(x - 45)] + 1

A sine function is represented as:

y = A sin[Bx + C] + D

Where:

Using the above representations, we have:

See attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1

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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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The percentage of the employees at the water slides are temporary​ is 88%

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

To find the percentage of the employees that are temporary

66/75 x 100/1

=88%

Hence, 88% is the percentage of the employees at the water slides are temporary​

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Answer:

See Picture. I made a 100.

Step-by-step explanation:

Weekly- $17253.46

Daily- $17254.01

Continuously- $17254.11

Monthly- $17251.29

Semi-annually- $17237.36

Quarterly- $17245.69

Compound interest is the addition of interest on the interest of the principal amount.

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

\(A = P(1+ \dfrac{r}{n})^{nt}\)

As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

A.) When the interest is charged weekly,

As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46\)

B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55\)

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

\(A = Pe^{rt}\)

Substitute the values, we will get,

\(A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45\)

D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23\)

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36\)

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7\)

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Answer: 912 students

Step-by-step explanation:

We can use the concept of proportion to make a prediction. If 19 out of 25 students arrive by bus, then the proportion of students who arrive by bus can be estimated as:

19/25 = x/1200

Solving for x, we get:

x = (19/25) * 1200 = 912

Therefore, we can predict that around 912 students in Pencey High School arrive by bus.

Answer:

Since p-value > ∝, H0 is accepted

Step-by-step explanation:

Calculating gives the following results.

ANOVA Table

Source DF               Sum             Mean      F Statistic P-value

                                 of Square           Square

Groups     6         191.61                      31.935        0.020          0.999

(b/w groups)

Error

(within 14          21736.08                1552.577

groups)                                                                                                    

Total  20          21927.69 1096.385                                          

1. H0 hypothesis

Since p-value > ∝, H0 is accepted.

Hence the averages of all groups considered to be equal.

Or the difference between the averages of all groups is not big enough to reject H0.

2. P-value

P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e  (99.99%)

The bigger  p-value  supports H0.

3. The statistics

The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]

By answering the presented question, we may conclude that Sales Rep: expression This entity maintains information about sales reps such as SalesRepID and SalesRepName.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

The ER diagram above depicts the database entities and their connections. Here's a quick rundown of each entity and its characteristics:

Employee: This object contains information on employees such as EmployeeID, Name, DateOfBirth, and Dependents.

ProductID, ProductName, ManufacturingDate, ExpiryDate, and SupplierID are all stored in this object.

Supplier: This entity holds supplier-specific information such as SupplierID, SupplierName, ContactPerson, and ContactNumber.

CustomerID, CustomerName, ContactPerson, and ContactNumber are all stored in the Customer entity.

Sales Rep: This entity maintains information about sales reps such as SalesRepID and SalesRepName.

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Alan and his mom will each have completed 10 rows after 3 hours.

An expression is a combination of numbers, variables, and/or operations (such as addition, subtraction, multiplication, division, exponents, and roots) that are grouped together to represent a value.

Let x be the number of hours it takes for Alan and his mom to have planted the same number of rows.

Alan will have planted 4 + 2x rows of carrots, and his mom will have planted 7 + x rows of tomatoes.

Setting these two expressions equal to each other gives:

4 + 2x = 7 + x

Solving for x, we get:

x = 3

Thus, after 3 hours, Alan will have planted:

4 + 2(3) = 10 rows of carrots

And his mom will have planted:

7 + (3) = 10 rows of tomatoes

Therefore, they will each have completed 10 rows of vegetables after 3 hours.

To graph these equations, we can plot them on a coordinate plane, where the x-axis represents the number of hours and the y-axis represents the number of rows planted.

Alan's equation is y = 2x + 4, and his mom's equation is y = x + 7.

The graph of these two equations intersect at the point (3, 10), which represents the moment when they have each planted 10 rows.

Therefore, Alan and his mom will each have completed 10 rows after 3 hours

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John has to deposit $1308.75 every year in order to have the same amount at retirement as Bob

Compound interest is the term used to describe interest that is earned on both the initial principal and the accumulated interest from earlier periods.

It is interest that is calculated on both the initial principal and any accumulated interest, in other words.

If we were to consider an investment of $100 with a 5% compound yearly interest rate as an example.

It would be seen that the total value of the investment would rise to $105 at the end of the first year thanks to interest earnings of $5 (5% of $100).

In the second year, interest would be calculated on both the original $100 and the $5 in accumulated interest if the interest accumulates annually, bringing the total to $110.25 ($105 + 5% of $105).

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When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

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Answer:

No, 92 is not a multiple of 8

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Some multiples of 8 is 8,16,24,32,40,48,56,64,72,80,88,and 96.

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer:

$23.04

Step-by-step explanation:

since each steak is $8.99 and she bought 3 you multiply by 3 then she bought 2 pounds of potatoes for 5.99 so you add that to the cost and then you will get $32.96.To find how much she has left you would subtract this value from $56 since thats the total amount of money she has and then you would get teh answer as 23.04