The graph of the curve C with equation y = f(x) is transformed to give
the graph of the curve S with equation y = f(-x) - 5
The point on C with coordinates (8, 3) is mapped to the point Q on S.
Find the coordinates of Q

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

9

Step-by-step explanation:

60 is 15=9

\(y = 1.38x + 12.60\)

Step-by-step explanation:

Step-by-step explanation:

You can assume that x is like ppl, so you split 8 among them by divding : 8/x (fraction with 8 over x)

Answer:

97

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

Answer:

Answer:

290 units long.

Step-by-step explanation:

This is a 3D version of the pythagorean theorem.

2D c = sqrt(a^2+b^2) or c^2 = b^2 + a^2

3D bar length = sqrt(FG^2 + BC^2 + FC^2)

so: sqrt(16^2 + 288 + 30^2) = 290

Have a good day.

Answer:

should be 2.24. I am sorry if I am wrong

Step-by-step explanation:

31.36÷14=2.24

Answer:

-8 9/10

Step-by-step explanation:

helped you!!

There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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∆ABC is translated 6 units up and 3 units left to create ∆A'B'C' using the rule (x, y) ⇒ (x - 3, y + 6)

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Rigid transformation are those transformations that do not change the shape or size of a figure such as translation, reflection and rotation. Dilation is not a rigid transformation.

∆ABC is translated 6 units up and 3 units left to create ∆A'B'C' using the rule (x, y) ⇒ (x - 3, y + 6)

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Answer: The sum of rational and irrational number is always irrational...

Answer:

When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite recurring decimals, such as 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite non-recurring decimals, such as √ 2=1.414213562…………According to this point, people define irrational numbers as infinite non-recurring decimals. 2. All rational numbers can be written as the ratio of two integers; irrational numbers cannot.

(Rational number): A number that can be accurately expressed as the ratio of two integers. 　　 Such as 3, -98.11, 5.72727272..., 7/22 are all rational numbers. 　　 Integers and fractions are all rational numbers. Rational numbers can also be divided into positive rational numbers, 0 and negative rational numbers. 　　 Irrational numbers refer to infinite and non-recurring decimals such as: π 　　·The difference between irrational and rational numbers: 　　 1. When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite cyclic decimals. 　　 For example, 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite and non-cyclic decimals. 　　 For example, √2=1.414213562…………According to this point, people define irrational numbers as infinite and non-cyclic decimals. 　　2, all rational numbers can be written as the ratio of two integers; irrational numbers cannot. Based on this, some people suggested that irrational numbers should be removed from the "irrational" hat, and rational numbers should be called "comparative numbers" and irrational numbers should be called "irrational numbers". Originally, irrational numbers are not unreasonable, but people don't know much about it at first. 　　Using the main difference between rational and irrational numbers, we can prove that √2 is irrational. 　　Proof: Assume that √2 is not an irrational number, but a rational number.Since √2 is a rational number, it must be written as the ratio of two integers: √2 = p / q Since p and q do not have a common factor to be reduced, p / q can be considered to be the reduced fraction, the simplest form of fraction. Put √2 = p / q squared on both sides Get 2 = (p ^ 2)/(q ^ 2) Is 2 (q ^ 2) = p ^ 2 Since 2q ^ 2 is an even number, p must be an even number, so set p = 2m From 2 (q ^ 2) = 4 (m ^ 2) Get q ^ 2 = 2m ^ 2 Similarly, q must be an even number, let q = 2n Since p and q are both even numbers, they must have a common factor of 2, which contradicts the previous assumption that p/q is a reduced fraction. This contradiction is caused by the assumption that √2 is a rational number. Therefore √2 is an irrational number.

.

Answer: statistic.

Step-by-step explanation:

A parameter is a measure of characteristic in a population.

A statistic is a measure of characteristic in a sample.

Given: A survey of 32 out of 50 in a basketball game showed 20.5% enjoyed the game.

Since group of 32 games out of 50 is representing a sample here.

So, 20.5% is the measure of sample, i.e. it is a statistic.

To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

Answer:

the common demonator is 8.

Step-by-step explanation:

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Where the above graph is given,  the correct answer is g(x) = (x + 9)².

Based on the information given,the function g(x)   is the translation of f(x) to the left by 2 units.

Since the vertex of f(x ) is at (-7, 0),the   vertex of g (x) will be at (- 7 - 2, 0), which simplifies to (- 9, 0).

 Therefore,the correct   answer is g(x) = (x + 9)². See the attached graph.

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Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Answer:

b

Step-by-step explanation:

dbhdkcnsbnadjfmmfejsdbfjkgkf

Answer:

\(DF = 38\)

\(GE = 40\)

Step-by-step explanation:

Given

\(DH = 2y + 6,\)

\(HF = 4x + 1,\)

\(HE = 3x + 2\)

\(GH = 20.\)

See attachment for parallelogram.

Required

Find GE and DF

From the attachment:

\(GH= HE\)

Substitute values for GH and HE

\(20 = 3x + 2\)

Subtract 2 from both sides

\(20-2 = 3x + 2-2\)

\(20-2 = 3x\)

\(18= 3x\)

\(3x = 18\)

Divide both sides by 3

\(x = \frac{18}{3}\)

\(x=6\)

\(GE = GH + HE\)

\(GH= HE\)

So:

\(GE = GH + GH\)

\(GE = 20 + 20\)

\(GE = 40\)

To find DF, we find y first:

\(DH = HF\)

\(2y + 6 = 4x + 1\)

Subtract 6 from both sides

\(2y +6- 6 = 4x + 1-6\)

\(2y = 4x + 1-6\)

Substitute 6 for x

\(2y = 4*6 + 1-6\)

\(2y = 19\)

Divide both sides by 2

\(y = \frac{19}{2}\)

\(y = 9.5\)

DF is then calculated as"

\(DF = DH + HF\)

\(DF = 2y+6 + 4x+1\)

Substitute values for x and y

\(DF = 2*9.5+6 + 4*3+1\)

\(DF = 38\)

Answer:

I'm pretty sure the rides are 140 yards away from restrooms.

Step-by-step explanation:

Both triangles are similar, and since the first triangle both have 112 yards on the sides, you can only assume that the second triangle would be similar too, but instead being 112 yards, it would be 140 yards.

Hope this helped!

The set containing the roots of the graphed quadratic function is given as follows:

{-3, 1}

The roots of a function can be obtained from the graph of the function, as they also represent the x-intercepts of the function.

The x-intercepts of a function are given by the values of x at which the graph of the function crosses the x-axis, which is the horizontal axis.

The values of x for which the graphed function crosses the x-axis are given as follows:

Hence the set containing the roots of the graphed quadratic function is given as follows:

{-3, 1}

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Answer:

2¾miles/hour or 2.75 miles/hour

Step-by-step explanation:

average speed = total distance ÷ total time

total time= 2 hours

therefore his average speed= 5½ mile ÷ 2 hours

= 2¾ miles/hour

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.

The solution of the matrix equation is calculated by applying Cramer's rule as shown below;

[ 1     1     -1 ]  [ 7 ]

[ 2    3     0 ] [ 18 ]

[ -5   -7    -1 ] [ -43 ]

The determinant of the matrix is calculated as follows;

[ 1     1     -1 ]  

[ 2    3     0 ]

[ -5   -7    -1 ]

Δ = 1 (-3 - 0) - 1(-2 - 0 )  - 1(-14 + 15)

Δ = -2

The x determinant of the matrix is calculated as follows;

[ 7     1     -1 ]  

[ 18    3     0 ]

[ -43   -7    -1 ]

Δx = 7 (-3 - 0) - 1 (-18 - 0 )  - 1(-126 + 129)

Δx = -6

The y determinant of the matrix is calculated as follows;

[ 1     7     -1 ]  

[ 2    18     0 ]

[ -5   -43   -1 ]

Δy = 1 (-18 - 0 )   - 7(-2 - 0 )  -1(-86 + 90)

Δy = -8

The z determinant of the matrix is calculated as follows;

[ 1     1     7 ]  

[ 2    3    18 ]

[ -5   -7   -43]

Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)

Δz = 0

The values of x, y , and z is calculated as;

x = Δx/Δ = -6/-2 = 3

y = Δy/Δ = -8/-2 = 4

z = Δz/Δ = 0/-2 = 0

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Answer:

18

Step-by-step explanation: