1) Triangle ABC has vertices A(6,2), B(3,4), and C (2,8). If the triangle is rotated
90° counterclockwise, what are the coordinates of the image A'B'C'?

Answer and work down below. Let me know if you have any questions

Answer:

22-1n-3

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The amount donated to the animal shelter is $258

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Percentage to donate to the shelter = 75%

The expression that shows the amount from the first and second craft shows.

24n + 32 _____(1)

40n + 56 ______(2)

Where n is the amount of each bracelet.

Now,

Cost of each bracelet = $4.

From (1) and (2) we get,

24 x 4 + 32 = 96 + 32 = 128

40 x 4 + 56 = 160 + 56 = 216

Now,

The total amount collected from both the craft shows.

= 128 + 216

= $344

The amount donated to the animal shelter.

= 75% of $344

= 75/100 x 344

= $258

Thus,

The amount donated to the animal shelter is $258

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Answer:

f(x) = 4^x

f(4) = 4^4 = 256

Hope this helps!

:)

the answer is 256 but i am not sure

hope this helps and be safe :)

Answer:

I'm pretty sure it is d... .......

Answer:

the answer is 45%.

Step-by-step explanation:

if you add 5% divided by 3 = 15%.

So if you add all of those plus the 30% you will be getting 45%.

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

(-1,0) (0,4) (1,0)

Step-by-step explanation:

The turning points are also called the critical points.  It is where the graph changes direction.

They occur at (-1,0) (0,4) (1,0)

The index number indicates that the value in period 7 has increased by about 119.83% compared to the value in period 1.

Based on the information provided, we will calculate the simple index number for period 7 (i7) using the given values for y1 and y7.

The simple index number formula is:

i7 = (y7 / y1) × 100

Where y1 represents the value in period 1 (116) and y7 represents the value in period 7 (255).

Plugging in these values, we get: i7 = (255 / 116) × 100 i7 ≈ 219.83

Thus, the simple index number for period 7 (i7) is approximately 219.83.

This index number is a measure that compares the value of y7 to the value of y1, with y1 being the base period.

In this case, the index number indicates that the value in period 7 has increased by about 119.83% compared to the value in period 1.

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The values of such following quantities are (A), 1.345, (B), 1.761, (C), 1.706, (D), 1.676, and (E), 2.678 according to the stated statement.

Any logical combining of a number, changeable, or other quantity is referred to as a quantity in a mathematical equation. For example, the equation x + 6 = Fifteen denotes four different numbers: 6, 15, x, and the sum of x plus 6, or x + 6. The concept is that just being exposed to something increases our likelihood of like it more. We are far more likely to enjoy someone or something the more often we interact with them.

The following table lists the quantities of the quantities:

(A). Here,

\($\alpha=0.10, d f=14$$t_{0.10,14}=1.345$\)

(B). Here,

\($\alpha=0.05, d f=14$$t_{0.05,14}=1.761$\)

(C). Here,

\($\alpha=0.05, d f=26$$$t_{0.05,26}=1.706$$\)

(D). Here,

\($\alpha=0.05, d f=50$$$t_{0.05,50}=1.676$$\)

(E). Here,

\($\alpha=0.005, d f=50$$$t_{0.005,50}=2.678$$\)

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Substituting u = x^(2/3x^6) in the integral ∫ (2x^3)(x^2/3x^6)^5 dx and arriving at the solution  3∫(x^3)(u^5) du.

To evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx, we can simplify the expression by making the substitution u = x^(2/3x^6). This substitution allows us to transform the integral into a simpler form, making it easier to evaluate.

Let's make the substitution u = x^(2/3x^6). Taking the derivative of both sides with respect to x gives us du = (2/3x^6)(x^(-1/3)) dx. Simplifying this equation, we have du = (2/3)dx.

Now, we can rewrite the original integral in terms of u as follows:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx.

Using our substitution, we can also rewrite x^3dx as (3/2)du. Substituting these into the integral, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx = 2∫(x^3)(u^5)dx = 2∫(x^3)(u^5)(3/2)du.

Simplifying further, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = 2(3/2) ∫ (x^3)(u^5) du = 3∫(x^3)(u^5) du.

Now, we can evaluate this integral with respect to u, which gives us a simpler expression to work with. Once we find the antiderivative of (x^3)(u^5) with respect to u, we can substitute u back in terms of x to obtain the final result.

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Complete question:

evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx by making the substitution u = x^(2/3x^6)

Answer:

the answer to your question is b

The value of the given expression is i. Therefore, the correct answer is option B.

The given expression is i⁸⁵.

An imaginary number is a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Here, i⁸⁵ can be written as i⁸⁵=i⁸⁴×i

= (i²)⁴⁸×i

= (-1)⁴⁸×i

= 1×i

= i

Therefore, the correct answer is option B.

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The formula for W (The hourly compensation per worker) is W=O/U

Given that The following formula is used in economics to find a factory's unit labour cost U, where O is the hourly output per worker and W is the hourly compensation per worker

\(U=\frac{O}{W}\),

Asked to Rearrange the formula to highlight the hourly compensation per worker

From the given question,

U(factory's unit labour cost)=O( hourly output per worker)/W(hourly compensation per worker)

Rearranging the formula to highlight the hourly compensation per worker,

W(hourly compensation per worker) × U(factory's unit labour cost)=O( hourly output per worker)

\(W(hourly compensation per worker)=\frac{O}{U}\)

Therefore \(W=\frac{O}{U}\) the formula for W (The hourly compensation per worker)

Hence, The formula for W (The hourly compensation per worker) is \(W=\frac{O}{U}\)

Complete question: The following formula is used in economics to find a factory's unit labour cost U, where O is the hourly output per worker and W is the hourly compensation per worker

\(U=\frac{O}{W}\),

Asked to Rearrange the formula to highlight the hourly compensation per worker

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Answer:

x^2+17x+91=0

a = 1; b = 17; c = +91;

Δ = b2-4ac

Δ = 172-4·1·91

Δ = -75

Delta is less than zero, so there is no solution for the equation

Step-by-step explanation:

Answer: Step 4

Step-by-step explanation:

There is no equation to substitute into, the reason should be 'Pythagorean theorem'.

The soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day for the soft drink vendor, we need to use the formula P(x) = 0.001x^2 + 3x + 1800, where x is the number of cans of soda pop sold in one day.

To find the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex is given by -b/2a, where a = 0.001 and b = 3. Plugging in these values, we get x = -3/(2*0.001) = -1500.

Since the soft drink vendor cannot sell a negative number of cans, we know that the maximum profit occurs at the closest whole number to x = -1500, which is x = 1500.

To find the maximum profit per day, we can plug in x = 1500 into the profit function:

P(1500) = 0.001(1500)^2 + 3(1500) + 1800 = $5250

Therefore, the soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day and the number of cans needed to reach that profit, we'll first need to find the critical point of the given quadratic profit function, P(x) = -0.001x^2 + 3x - 1800.

Step 1: Find the derivative of P(x) with respect to x. This will give us the rate of change of profit as the number of cans sold changes.

P'(x) = -0.002x + 3

Step 2: Set the derivative equal to zero and solve for x. This will give us the critical point where the maximum profit occurs.

-0.002x + 3 = 0

x = 1500 cans

Step 3: Substitute the critical point (x = 1500) back into the profit function P(x) to find the maximum profit.

P(1500) = -0.001(1500)^2 + 3(1500) - 1800

P(1500) = $600

So, the maximum profit per day is $600, and the soft drink vendor must sell 1500 cans to reach the maximum profit.

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The maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

The profit function for the soft drink vendor is given by:

P(x) = \(0.001x^2 + 3x + 1800\)

To find the maximum profit, we need to find the vertex of the parabola represented by this function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

where a = 0.001 and b = 3. Substituting these values, we get:

x = -3 / (2 * 0.001) = -1500

Since the value of x cannot be negative in this context, we know that the maximum profit occurs at x = 1500. To find the maximum profit, we substitute this value of x into the profit function:

P(1500) =\(0.001(1500)^2 + 3(1500) + 1800 = $4800\)

Therefore, the maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

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Answer:

32km

Step-by-step explanation:

if you draw the diagram it looks like a right angled triangle then indicate the values and use the Pythagoras theorem to solve

Answer:

Step-by-step explanation:

Given function is f(x) = \(\frac{2}{5}x-1\)

Input - output table for the given function,

x         -10       -5         0         5         10            

y          -5        -3         -1          1          3

Now we can plot these ordered pairs on a graph paper as graph attached.        

Answer:

It's D

Step-by-step explanation:

It's D

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.

a) Point E at (4, -2):

Substituting the coordinates into the inequalities:

-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)

-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)

b) Point K at (2, 3):

Substituting the coordinates into the inequalities:

3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)

3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)

c) Point B at (4, 7):

Substituting the coordinates into the inequalities:

7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)

7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)

d) Point D at (-7, 1):

Substituting the coordinates into the inequalities:

1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)

1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

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Answer: What is the IRS's math error authority? Congress has granted the IRS “math error authority,” which allows the IRS to make certain summary adjustments to a taxpayer's return. If the changes lead to a greater amount of tax, the IRS would make an assessment.

To evaluate the line integral ∫ xy^4 ds, where C is the right half of the circle x^2 + y^2 = 16 oriented counterclockwise, we can parameterize the curve C and then compute the integral along the curve.

The equation of the right half of the circle can be written as x = 4cos(t) and y = 4sin(t), where t ranges from 0 to π.

Now, we need to find the differential ds. The length element ds can be expressed as ds = √(dx^2 + dy^2). Substituting the parametric equations into ds, we get ds = √(16cos^2(t) + 16sin^2(t)) = 4.

Therefore, the line integral becomes ∫ (xy^4) ds = ∫ (4cos(t)(4sin(t))^4)(4) dt.

Simplifying further, we have ∫ 256cos(t)sin^4(t) dt.

To compute this integral, you can apply integration techniques such as u-substitution or trigonometric identities.

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Answer:

- opposite sides of a parallelogram are congruent.

-definition of a parallelogram

- alternate interior angles are congruent

Step-by-step explanation: I took the test .

Answer:

The measure of BXD is 45°.

Step-by-step explanation:

\(x + 20 + x + 30 = 95 - x\)

\(2x + 50 = 95 - x\)

\(3x + 50 = 95\)

\(3x = 45\)

\(x = 15\)

So the measure of angle BXD is 15 + 30, or 45°.

-1/7, since parallel lines have equal slopes.

Answer:

31.5214 cm

Step-by-step explanation:

Answer:what

Step-by-step explanation:what does this mean