D(-3,4) E(7, 6) 1:3

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

The interest earned on the account is $5,750.53 when $50,000 is deposited for 2 years at an annual interest rate of 5.5% compounded monthly.

To calculate the interest earned on the account, we can use the formula for compound interest:

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

Where:

A = the final amount (including interest)

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $50,000, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), the interest is compounded monthly (n = 12), and the money is left in the account for 2 years (t = 2).

Plugging these values into the formula, we have:

A = 50000(1 + 0.055/12)^(12*2)

Simplifying the equation, we get:

A = 50000(1 + 0.004583333333333333)^(24)

A = 50000(1.004583333333333333)^(24)

A = 50000(1.115010680047)

A = 55750.53400235

To find the interest earned, we subtract the principal amount from the final amount:

Interest = A - P

Interest = 55750.53400235 - 50000

Interest = 5750.53400235

Therefore, the interest earned on the account is $5,750.53 (rounded to two decimal places).

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Computing a one-sample t-test is appropriate when d) all of the above

A statistical hypothesis test called the one-sample t-test is used to examine whether an unknown population mean differs from a given value. The test is applicable to continuous data. When doing a t-test, it is typical to make the following assumptions: the measuring scale, random sampling, normality of the data distribution, sufficiency of the sample size, and equality of variance in standard deviation.

When performing a one-sample t-test, the data should be collected at random from a population that is generally healthy. When each participant is put into a single group and is present on time, it is suitable. Additionally, it is suitable when the population variance is unknown.

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Step-by-step explanation:

Given that,

The length of a baseball is 29 inches

Logan thinks he can bring the baseball bat home in his suitcase.

The length of the suit case is 24 inches while the height is 18 inches. We can find the diagonal (x) of the suitcase using Pythagorean Theorem as follows :

\(x^2=24^2+18^2\\\\x=\sqrt{900} \\\\x=30\ \text{inches}\)

The diagonal of the suitcase is 30 inches. It means that he can put the baseball bat in the suitacse easily.

The probability that a block picked at random is red is 40%.

Using this formula

Probability=Red block/Red block+Orange block+Purple block

Where:

Red block=6%

Orange block=5%

Purple block=4%

Let plug in the formula

Probability=6/(6+5+4)

Probability=6/15

Probability=0.4×100

Probability=40%

Therefore the probability that a block picked at random is red is 40%.

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Answer: y=$4.50+$3.20x

Step-by-step explanation: You already have to pay $4.50 plus $3.20 every mile driven (x) equals your final cost (y)

Answer:

In Point Slope Form: y+6=4(x-1)

Step-by-step explanation:

First you have to find the points given which are:

Label the points x1, y1, x2, and y2

Plot the points in the equation of Point Slope Form:

y1-y2=m(x-x1)

Simplify: y1-6=4x-4

It doesn't ask you to simplify but why not!  

We can check the convergence and divergence of a series by integral test followed by  Riemann zeta function.

Let f(x) = 1/(x⁵), where f(x) is a positive, continuous, and decreasing function for x ≥ 1.

Integrating f(x)with limit 1 to infinity, we get:

∫₁∞ 1/x⁵ dx = [-1/(4x⁴)]₁∞ = 1/4

As the integral converges, the series should converge by the integral test.

we can use the definition of the Riemann zeta function to have the value of the series,

ζ(s) = ∑n=1[infinity]1/nˢ

Taking s = 5, we get:

ζ(5) = ∑n=1[infinity]1/n⁵

Therefore, the value of the series is ζ(5) = 1.03693..., which is a mathematical constant that is approximately equal to 1.03693.

So, the series converges, and its value is ζ(5) = 1.03693.

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Answer:

B. No solution

Step-by-step explanation:

Given that the result of the equation is 3 = 5

Therefore the results of the equation is impossible to be correct, and therefore, there are no values that can be given to the variables to make the equation true.

The characteristics of an equation with no solution is one whose result makes a statement that is false, such as given in the question, and the equations are said to be contradictory or not compatible.

There is no solution at the time when solving results in the statement 3 = 5.

Given that,

Based on the above information we can say that

Therefore we can conclude that there is no solution at the time when solving results in the statement 3 = 5.

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Answer:

Exterior angle.

Step-by-step explanation:

by my analysis

if hey said triangle XYZ

it should mean each exterior angle is named either X, Y, or Z.

so angle Y should be an exterior angle (outside angle).

but the angle formed by X and Z will be an interior angle (inside angle).

Hope this helps .

Answer:

The answer is C: Remote Interior Angle

Step-by-step explanation:

Took the Test.

Answer:

\(\dfrac{-x}{3}\)should be added to the given equation.

Step-by-step explanation:

Let a is added to the given equation.

According to the given condition,

\(\dfrac{5x}{6}-4+a=\dfrac{x}{2}-4\\\\a=\dfrac{x}{2}-4+4-\dfrac{5x}{6}\\\\a=\dfrac{x}{2}-\dfrac{5x}{6}\\\\a=\dfrac{3x-5x}{6}\\\\a=\dfrac{-2x}{6}\\\\a=\dfrac{-x}{3}\)

So, \(\dfrac{-x}{3}\)should be added to the given equation.

The correct answer is (a). The conclusion that the frequency of mothers' smoking is not related in any way to the incidence of influenza in their babies is a common correlation error.

The correct answer is (a) Conclusion: The frequency of mothers' smoking is not related in any way to the incidence of influenza in their babies. This conclusion makes a common correlation error by assuming that there is no relationship between smoking during pregnancy and the incidence of influenza in babies, just because there is a very low linear correlation coefficient.

It is important to note that correlation does not imply causation, and a low correlation coefficient does not necessarily mean that there is no relationship between the two variables. Therefore, this conclusion is invalid and incorrect.

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Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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The expression sec(x) - tan(x) is undefined at x = π/2. Consequently, the limit as x approaches π/2 does not exist.

To find the limit of the expression as x approaches π/2, we can directly substitute the value π/2 into the expression and evaluate it.

Let's evaluate the expression:

lim x→π/2 (sec(x) - tan(x))

Substituting x = π/2:

sec(π/2) - tan(π/2)

The value of sec(π/2) is undefined (since it is equal to 1/cos(π/2), and cos(π/2) is 0). Similarly, tan(π/2) is also undefined (since it is equal to sin(π/2)/cos(π/2), and both sin(π/2) and cos(π/2) are 0).

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Answer:

m<AOB = 50°

Step-by-step explanation:

<ACB = 25° is an inscribed angle of the circle.

<AOB is a central angle of the circle.

Thus, based on the inscribed angle theorem which states that an inscribed angle is ½ the measure of the central angle, therefore:

m<ACB = ½(m<AOB)

Substitute

25° = ½(m<AOB)

Multiply both sides by 2

2*25 = m<AOB

m<AOB = 50°

The asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\) is f(n) ∈ Θ(g(n)). Therefore, the growth rates of f(n) and g(n) are primarily determined by the cubic terms, and they grow at the same rate within a constant factor.

To determine the asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\), we need to compare their growth rates as n approaches infinity.

Θ (Theta) Notation: f(n) ∈ Θ(g(n)) means that f(n) grows at the same rate as g(n) within a constant factor. In other words, there exists positive constants c1 and c2 such that c1 * g(n) ≤ f(n) ≤ c2 * g(n) for sufficiently large n.

o (Little-o) Notation: f(n) ∈ o(g(n)) means that f(n) grows strictly slower than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) < c * g(n) for all n > n0.

ω (Omega) Notation: f(n) ∈ ω(g(n)) means that f(n) grows strictly faster than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) > c * g(n) for all n > n0.

Now let's analyze the given functions:

\(f(n) = n^3 (8 + 2 cos 2n)\\g(n) = n^2 + 2n^3 + 3n\)

Since both functions have the same dominant term, we can say that f(n) ∈ Θ(g(n)) because they grow at the same rate within a constant factor. The other notations, o and ω, are not applicable here because neither function grows strictly faster nor slower than the other.

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By evaluating areas, we calculate that the amount of fencing the gardener needs to purchase is \(8\frac{1}{3}\)

The gardener currently has already fence = \(4\frac{2}{3}\)

Length of one side =\(3\frac{1}{4}\)

Since the square garden has four equal-length sides because it is square, we must multiply the length of one side by four to determine the total length of the fence required:

\(4*(3\frac{1}{4}) = 4*(3+\frac{1}{4} ) = 4*3 + 4*\frac{1}{4} = 12 + 1 = 13\)

13 sq. feet is the total area of the garden.

The gardener already fence \(4\frac{2}{3}\). As a result, we can calculate the remaining amount needed by subtracting the amount needed from the amount the gardener already has. So let's do that:

\(=13 - 4\frac{2}{3} \\=13 - \frac{14}{3}\\ =\frac{39-14}{3} \\=\frac{25}{3} \\=8.33\)

Hence, the amount of fencing the gardener needs to purchase is \(8\frac{1}{3}\)

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Answer:

8:9

Step-by-step explanation: the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

I hope this helps plz tell me if its wrong so i can fix it :)

Answer:

You do not count the zero to the left of the decimal

Step-by-step explanation:

That zero is just a placeholder as there is nothing to the left of the decimal, you could also write the number as .000157

Your answer is correct, 0.000157 is 1.57x10^-4

Scientific notation is just expressing numbers in their exponential form. The power/exponent is found by counting how many times the decimal has moved to the right or the left.

that would be 600 because of the low percentage

Answer:

The answer is B

Hope this helped ;)

Answer:

Second box, fourth box, first box, and third box

Step-by-step explanation:

1st answer box because (13 - 3 / 2 * r) - (1 - r) = 13 - 3 / 2 * r - 1 + 2 / 2 * r thus being the first answer because of the "-" in the front so distribute the "-" with the 1 and - r

2nd answer box because (7r - 3 / 2) - (2 / 3 + 6r) = 7r - (9 / 6) - (4 / 6) - 6r same principle here.

3rd answer box because (6r + 7) + (13 + 7r) = 6r + 7 + 20 + 7r

4rd answer box because (- 8 - r) + (2r - 4) = - 8 - r + 2r - 4

Answer:

1. (6r+7)+(13+7r)=13r+20

2. (13 3/2)-(1-r)= 12-r

3. (-8-r)+(2r-4)= -12+r

4. (7r-3/2)-(2/3*6r)=r-13/6

Step-by-step explanation:

1. Move 7r next to 6r then you get 13r then just add 7+13 and you get 20 answer is 13r+20

2. Subtract 1 from 13 and you get 12 then you do the 3/2r and and the other r to it and you get 1/2r answer should be 12- 1/2r

3. Move then 4 next to the -8 and subtract you should get -12 then you solve -r+2r should get r and the answer is -12+r

4. Subtract 7r from 6r and you get r(1r) then you should subtract 3/2 and 2/3 and you get 13/6 and the answer is r-13/6

Answer:

The answer is

not equivalent

equivalent

Answer:

56c)+476xy=(47xy)

Step-by-step explanation:

hope this helped

The solutions to this system of conics is x = -4 and y = -4 or (x, y) = (-4, -4) after using the substitution method.

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (a circle is a special type of ellipse).

It is given that:

The equation of the circle:

(x - 1)² + (y + 4)² = 25

The equation of the ellipse:

(x - 1)²/25 + (y + 4)²/100 = 1

Using substitution method:

[25 - (y + 4)² ]/25 + (y + 4)²/100 = 1

After solving:

(y + 4)² = 0

y = -4

x = -4

Thus, the solutions to this system of conics is x = -4 and y = -4 or (x, y) = (-4, -4) after using the substitution method.

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Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Dilation and rotation will not produce a congruent triangle

What is rotation ?

The rotation of a point with regard to the origin is described by the rotation formula. To get the position of the point after rotation, apply the rotation formula. Rotation is a circular movement about the specific axis or point of rotation. In general, there are two common directions for rotation: clockwise and anti-clockwise or counter-clockwise.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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Explanation:

In other words,

N is some positive whole number.

Add up all those expressions and set the sum equal to the 150 books total. Solve for N.

(1st stack) + (2nd stack) + (3rd stack) = total

(2N+30) + (2N) + (N) = 150

(2N+2N+N) + 30 = 150

5N + 30 = 150

5N = 150-30

5N = 120

N = 120/5

N = 24 which is the number of books in the 3rd stack

2N = 2*24 = 48 is the number of books in the 2nd stack.

2N+30 = 2*24+30 = 48+30 = 78 books in the 1st stack

Check:

1st+2nd+3rd = 78+48+24 = 150

The answer is confirmed.

The result when we subtract 3x^2 + 7x - 4 from 8x^2 - 6x + 2 is 5x^2 - 13x + 6.

Subtracting polynomials is a method of subtracting polynomials by converting the signs to the opposite sign. It is done in two methods - vertically and horizontally.

Using the method in subtracting polynomials horizontally:

Step 1: Arrange the polynomials in their standard form.

Both 3x^2 + 7x - 4 and 8x^2 - 6x + 2 are in their standard form(exponents in decreasing order)

Step 2: Place the polynomial next to each other horizontally.

(8x^2 - 6x + 2) - (3x^2 + 7x - 4)

Step 3: Distribute the negative sign to the second polynomial.

(8x^2 - 6x + 2) - 3x^2 - 7x + 4

Step 4: Combine the like terms and arrange them in decreasing order.

8x^2 - 3x^2 - 6x - 7x + 2 + 4

Step 5: Perform the calculations.

5x^2 - 13x + 6

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