The function f is defined as follows
f(x)=-2x^2-2
if the graph of f is translated vertically upward by 5 units, it becomes the graph of function h
FIND THE EXPRESSION FOR H(X)
h(x)=?

Answer:

Step-by-step explanation:

a)x = 2 - sqrt(-y^2 + 6 y - 4) or x = sqrt(-y^2 + 6 y - 4) + 2

b)

c)x = 1/2 (3 - sqrt(-4 y^2 + 24 y - 31)) or x = 1/2 (sqrt(-4 y^2 + 24 y - 31) + 3)

The length of the rectangle is approximately 41.34 inches.

Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:

2w + 2(2w - 4) = 128.

Simplifying the equation, we get:

2w + 4w - 8 = 128,

6w - 8 = 128,

6w = 136,

w = 22.67.

So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:

2(22.67) - 4 = 41.34.

Therefore, the length of the rectangle is approximately 41.34 inches.

In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.

By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.

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Answer:

statement are always true

Sometimes True:

The sum of a rational number and an irrational number is rational.

Always True:

The product of two rational numbers is always rational.

Always True:

The sum of an irrational number and a rational number is irrational.

Sometimes True:

The product of an irrational number and a rational number is irrational.

Always True:

The sum of two rational numbers is rational.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

Sometimes True:

The sum of a rational number and an irrational number can be rational or irrational depending on the numbers chosen.

For example, 1 + √2 is irrational, but 1/2 + √2/2 is rational.

Always True:

The product of two rational numbers is always rational, as can be shown using the definition of rational numbers.

Always True:

The sum of an irrational number and a rational number is always irrational. This can be shown by contradiction.

Assume that the sum of an irrational number a and a rational number b is rational.

Then (a + b) - b is also rational, which implies that a = (a + b) - b is rational, contradicting the assumption that a is irrational.

Sometimes True:

The product of an irrational number and a rational number can be rational or irrational depending on the numbers chosen.

For example, √2 x 2 is irrational, but √2 x (1/√2) = 1 is rational.

Always True:

The sum of two rational numbers is always rational, as can be shown using the definition of rational numbers.

Thus,

Sometimes True:

The sum of a rational number and an irrational number is rational.

Always True:

The product of two rational numbers is always rational.

Always True:

The sum of an irrational number and a rational number is irrational.

Sometimes True:

The product of an irrational number and a rational number is irrational.

Always True:

The sum of two rational numbers is rational.

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In the first drop-down, the correct answer is "C. both Eric and Maggie".

In the second drop-down, the correct answer is "B. Solve the equations for x".

In the third drop-down, the correct answer is "C. Multiplication property of equality".

Both Eric and Maggie are in the same boat, as they are both trying to figure out what to do with their lives. They are both at a point in their lives where they are making big decisions about their future, and they are both feeling a bit lost and uncertain..

In the first drop-down, the correct answer is "C. both Eric and Maggie". This is because both Eric and Maggie are in the same boat, as they are both trying to figure out what to do with their lives.

In the second drop-down, the correct answer is "B. Solve the equations for x". This is because we need to find the value of x that makes both equations true.

In the third drop-down, the correct answer is "C. Multiplication property of equality". This is because we are multiplying both sides of the equation by the same number, which is 2.

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For the two sample tests or Clin with m = 12 and n = 15.5, the number of degrees of freedom is (m + n - 2) which is (12 + 15.5 - 2) = 25.5. Since degrees of freedom must be a whole number, we round down to 25.
For the two sample tests or Clin with a sample size of -40.52 - 5,0 X (6), we need more information to determine the degrees of freedom.

In order to determine the number of degrees of freedom for a two-sample t-test, you need to use the following formula:

Degrees of freedom (df) = (m - 1) + (n - 1)

where m and n are the sample sizes of the two groups being compared.

In the given question, there seem to be some errors in the values provided. However, let me explain the steps using the available values:

1. m = 12 (assuming this is the sample size of the first group)
2. n = 15.5 (assuming this is the sample size of the second group, but sample sizes should be whole numbers, so it should be rounded down to 15)
3. Apply the formula:

Degrees of freedom (df) = (12 - 1) + (15 - 1)

4. Calculate the degrees of freedom:

Degrees of freedom (df) = 11 + 14 = 25

So, the number of degrees of freedom for the two-sample test in this situation is 25.

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Answer:

w^2+15w+54

Step-by-step explanation:

(w+9)(w+6)

w^2+9w+6w+54

w^2+15w+54

Answer:

w^2 + 15w + 54

Step-by-step explanation:

Check the picture below.

Answer:

14.1

Step-by-step explanation:

You add all of your numbers up, and then you divide by how many numbers you have.

Answer:

The answer is -4x - 6x^2 + x^2

Hoped this helped!

Answer:

13.7%

Step-by-step explanation:

Nominal interest rate = \((\sqrt[m]{1 + effective annual interest rate} - 1 \ ) m\)  

where m = number of compounding = 12

(\(\sqrt[12]{1.146}\) - 1 ) x 12 = 0.137054 = 13.7%

To round to one decimal place means that there should be only one figure after the decimal place.

Answer: 10 apple

Step-by-step explanation:

Answer:

$11 sales tax per $200

Step-by-step explanation:

1375/25,000 = 11/200

Answer:

5.5%

Step-by-step explanation:

1375/25000= 5.5%

25000 * 5.5% = $1375.00

Answer:

So you say you want some 5 digit numbers eh? Let’s consider some boundaries. 5 digit numbers range from 10,000 - 99,999. So our number is guaranteed to be between 0 and 90000.

Sometimes it’s much easier to work with concrete things. Such as the number of numbers that don’t contain any 3s. It’s really more difficult to put our finger on “at least 1” anything so we try to steer clear of it.

Anyways we’ve got 90000 numbers that have at least 1 or 0 3’s. Find one and we know the other.

So no 3’s at all right? Well you have 8 choices for the first digit (can’t choose 0 and you can’t choose 3). And then for the remaining 4 digits you have 9 choices. So that’s

8∗94=52488  

Back to our initial equation, we have

90000−8∗94=37512  5 digits numbers without any 3s.

A quick (or maybe not so quick) matlab script confirms such calculations.

credits to : Trevor Squires

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

1.

Step-by-step explanation:

0.36 + 0.64 = 1

Answer:

The answer is 125. If you were to pair 250 people in 2, that would be 250 divided by 2.  And 250 divided by 2 is 125.

Step-by-step explanation:

The area and circumference of the given circle are 200.96 cm2 200.96 c m 2 and 50.24 cm 50.24 c m respectively.

Circumference of circle:

In geometry, a circumference is the circumference of a circle or an ellipse. That is, the circumference will be the length of the arc of the circle as if it were open and straight to the line segment. More generally, the perimeter is the length of the curve around any closed figure. The circumference can also designate the circle itself, the trajectory corresponding to the edge of a disk. The circumference of a sphere is the circumference or length of one of its great circles.

Area of circle:

The area of ​​a circle is the space the circle occupies in a two-dimensional plane. Alternatively, the space occupied inside the boundary/perimeter of a circle is called the area of ​​the circle. The formula for the area of ​​a circle is A = πr2, where r is the radius of the circle. Area unit is square unit, such as m2, cm2, in2, etc.

According to the Question:

The circumference C of a circle with radius r is given by

C = 2πr

where the units of C will be the same as the unit of R.

The problem tells us that the radius r = 8m.

And, we will say π = 3.14

So,

C = 2(3.14)(8) = 50.24m

The units are meters.

Now, the area A of a circle with radius r is given by

A = πr², where the units of A will be the units of r squared.

Again,

we know r = 8,π = 3.14, so

A= 3.14(8²)

8² = 8⋅8 = 64,

Thus,

A= 64(3.14) = 200.96m²

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From the graph provided, the coordinates of the two points are;

The distance between two points is;

Then, we substitute the values into the formula, we have;

The distance d, between the points is;

Answer:

\(y=5\)

Step-by-step explanation:

Equation in point slope form is given as

\(y-y_1=m(x-x_1)\)

Here

\(m=0 \ and \ (x_1, y_1)=(-2, 5)\)

Therefore

\(y-5=0(x+2)\)

\(y=5\)

155^A.The measure of LMN in kite KLMN is 155°.

A kite's main characteristic is that it has two pairs of congruent adjacent sides, with one set of diagonally opposite angles being equal, but the other set not. In a kite, these angles have different degree measures.

Kite KLMN has two pairs of adjacent sides that are congruent, and its diagonal is not perpendicular. So, angle KLM is 106°, angle KLN is 99°, and angle KMN is 49°. Since the sum of the internal angles of a quadrilateral is 360 degrees, we can use the following formula to calculate the angle LMN:360 - (angle KLM + angle KLN + angle KMN) = angle LMN360 - (106° + 99° + 49°) = 106°.Therefore, the measure of LMN in kite KLMN is 155°.

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The  area of sector EFG is 246.18 unit².

A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

Here, Given: m∠EFG = 144° = 144 Xπ/180°

                                   = 2.512 radians

                    EF = 14 units

We know that, Area of Sector = r² X α/2

                           A = 14² X 2.512/2

                          A = 246.18 unit²

Thus, the  area of sector EFG is 246.18 unit².

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Answer:

neither

Step-by-step explanation:

exponential grows larger with each step and liner is constant

Answer:

Exponential because you don't start at 0

Step-by-step explanation:

the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v is 10\(\sqrt{14}\)

The surface element is

dS = || ∂r/∂u  x  ∂r/dv || du dv

where

r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k

r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k

is the vector parameterization for the surface S.

The normal vector to the surface is

∂r/∂u  x  ∂r/dv

… = (i + j + 2 k)  x  (i - j + k)

… = 3 i + j - 2 k

and has norm

|| ∂r/∂u  x  ∂r/dv || = √(3² + 1² + (-2)²) = √(14)

Now compute the integral:

∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv

… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv

… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv

… = √(14) ∫₀¹ (8 + 2v) dv

… = √(14) (8v + 2v²) |₀¹

… = 10 √(14)

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The measures of dispersion mean , median , mode and range of the data are 3.79, 2, 2 and 9.75 respectively

The mean is the ratio of the sum of all the values and the number of values in the dataset .

The mean = (1 + 0.8 + 2 + 2.5 + 1.5 + 5 + 10 + 5.1 + 3 + 2.25 + 0.5 + 0.25 + 1.8 + 4.1 + 2 + 2 + 7) / 14 = 3.79

This is the middle value of the distribution after it has been rearranged in order of magnitude.

Rearranged data : 0.25, 0.5, 1, 1.5, 1.8, 2, 2, 2, 2.25, 3, 4.1, 5, 5.1, 7, 10

median = 2

This is the most frequently occurring value in the dataset . The modal value here is 2 with a frequency of 4

Mode = 2

This is the difference between the maximum and minimum values

Range = 10 - 0.25 = 9.75

Therefore, the range of the data is 9.75

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Answer:

A. NO

B.  NO

C. YES

D. YES

E. NO

F. NO

Step-by-step explanation:

Answer:

1936

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

Basically, we need to prove that \(\sqrt{2}\) is irrational

Let s assume that \(\sqrt{2}\) is rational

it means that we can find p and q (q different from 0) two integers with no common factors other than 1

so that

   \(\sqrt{2}=\dfrac{p}{q}\)

And then we can write that

   \(2=\dfrac{p^2}{q^2}\\<=> p^2=2q^2\)

So \(p^2\) is even so it means that p is even

so \(p^2\) is divisible by 2*2=4

as  \(p^2=2q^2\) it means that \(q^2\) is even, meaning q is even

wait, p and q are then even !? but by definition they have no common factors. This is not possible.

so our assumption that \(\sqrt{2}\) is rational is false

So it means that this is irrational

and then \(3-\sqrt{2}\) is irrational too

Hope this helps

Answer:

yeah.. im here for u if u need it

Step-by-step explanation:

Step-by-step explanation:

sin0° = cos90°

sin30° = cos60°

sin45° = cos45°

sin60° = cos30°

sin90° = cos0°

Answer:

A , 10 unit square

B , 13 unit square

C , 9 unit square

D , 25 unit square

Step-by-step explanation:

I HOPE IT HELPS:))) !!!!