is (-3,4) a solution to y=2x+2??​

Answer:

9(w+8)  factor 9

Step-by-step explanation:

factor expression

9w+72  divide both side by 9

9/9w+72/9

w+8

Answer:

9 (w + 8)

I'm sorry I can't explain it but here's the answer

Answer: After investing for 10 years at 8% interest

Step-by-step explanation: your $10,000 investment will have grown to $21,589 This calculator determines the future value of $10k invested for 10 years at a constant yield of 8.00% compounded annually

Answer:

\(2 \frac{8}{13} = 2.61\)

Step-by-step explanation:

\(1. \: \frac{3 \times 5 + 2}{5} \div 1\frac{3}{10} \\ 2. \: \frac{15 + 2}{5} \div 1 \frac{3}{10} \\ 3. \: \frac{17}{5} \div 1 \frac{3}{10} \\ 4. \: \frac{17}{5} \div \frac{1 \times 10 + 3}{10} \\ 5. \: \frac{17}{5} \div \frac{10 + 3}{10} \\ 6. \: \frac{17}{5} \div \frac{13}{10} \\ 7. \: \frac{17}{5} \times \frac{10}{13} \\ 8. \: \frac{17 \times 10}{5 \times 13} \\ 9. \: \frac{170}{5 \times 13} \\ 10. \: \frac{170}{65} \\ 11. \: \frac{34}{13} \\ 12. \: 2 \frac{8}{13} = 2.61\)

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

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The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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The given expression represents the present value of a series of future cash flows discounted at a rate of 6.5% per year.

Each term in the expression represents a cash flow at a specific time in the future, and the denominator in each term represents the discount factor, which reflects the time value of money.

The first term, $250,000 / (1+0.065)^1, represents a cash flow of $250,000 that will be received in one year.

To determine its present value, we divide it by the discount factor (1+0.065)^1, which reflects the fact that the money will be received one year from now and is, therefore, less valuable than money received today.

Similarly, the second term, $37,500 / (1+0.065)², represents a cash flow of $37,500 that will be received in two years.

To determine its present value, we divide it by the discount factor (1+0.065)²,

which reflects the fact that the money will be received two years from now and is, therefore, less valuable than money received today.

This process is repeated for each term in the expression, representing cash flows that will be received in three, four, five, and six years, respectively.

The sum of these present values represents the total present value of the cash flows or the amount that they are worth today if they are discounted at a rate of 6.5% per year.

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Answer:

$45.75

Step-by-step explanation:

15x2=$30

5.25x3=$15.75

30+15.75=$45.75

The other equation  for given linear equation is y = 2x + 1.

What  is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

When the graphs are parallel, an equation system with linear components cannot be solved. a plane of coordinates. The x- and y-axes scale by a factor of two. The points zero, one and a half, and three, two are on a graph of a line.

Let’s assume that the other equation is y = mx + b.

If the system has no solutions, then the lines are parallel and have the same slope.

The slope of y = 2x - 1 is 2.

Therefore, the equation that could be the other equation of the system must have a slope of 2.

The only equation with a slope of 2 is y = 2x + 1.

Therefore, the answer is y = 2x + 1.

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Answer:

The answer might be B

Step-by-step explanation:

Answer is a = 5.8'' and b = 1.5''

Sine and cos Formula:

The sin formula is given as: sin θ = Perpendicular side / Hypotenuse side.

The cos formula is given as: cos θ = Adjacent side / Hypotenuse side.

Here,

ABC is a right-angled triangle with angle c = 90 degrees.

Given, ∠B = 14.5° and c = 6''

Now, cosB = BC / AB

=> cos(14.5°) = a / c

=> a = 6 * cos(14.5°) = 6 * 0.97

=> a = 5.8''

Again, sinB = AC / AB

=> sin(14.5°) = b / c

=> b = 6 * sin(14.5°)

=> b = 1.5''

Hence, a = 5.8'' and b = 1.5''

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Answer:

it's not a proportional relationship. ..............

Answer:

D.) Flip over line m

Step-by-step explanation:

I'm going to assume that 'line m' is the y axis in the image since it isn't shown.

To get from figure 1 to figure 2 you would have to flip the figure over the y axis (line m.)

Hope this helps!!

Solution

The image below will be of help

Thus, we have

The one that is better to buy is

Answer:

17.5

Step-by-step explanation:

The area of a triangle is (height*base)divided by two

(the eight is really unnecessary)

so 7=base

8=height

7*5=35

35/2=17.5

Answer:

Step-by-step explanation:

n/3 - 2 = 14

n/3 = 16

n = 48

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Step-by-step explanation:

Hey there!

After looking at the figure we can state that;

X + 53° = 105°. { the exterior angle is equal to the sum of adjacent interior angle}

X = 105° - 53°

Therefore, X = 52°

Hope it helps...

Answer:

Y = 6

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The total number of transistors in the Titan is equal to 5.950 × 10²¹ transistors.

A supercomputer simply refers to one of the most powerful computers that is designed and developed for handling, evaluating, and solving very complicated problems, calculations, or tasks, better than ordinary desktop or laptop computers.

In order to determine the total number of transistors in the Titan, we would multiply the number of transistors in its central processing unit (CPU) by the number of transistor in its graphics processing unit (GPU) as follows:

Total number of transistors = 4.485 × 10¹⁰ × 1.3268 × 10¹¹

Total number of transistors = (4.485 × 1.3268) × (10¹⁰ × 10¹¹)

Total number of transistors = 5.950 × (10⁽¹⁰ ⁺ ¹¹⁾)

Total number of transistors = 5.950 × 10²¹ transistors.

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Complete Question:

Supercomputers have been developed that are much larger and can perform many more calculations than ordinary desktop or laptop computers. One such supercomputer, the Titan, has 4.485 × 10¹⁰. transistors in its central processing unit (CPU) and another 1.3268 × 10¹¹. transistor in its graphics processing unit (GPU). Find the total number of transistors in the Titan. Show your working and give your answers in standard form.

Answer: A 4(7+3)

Step-by-step explanation:

Distribute 4(7+3)= (4x7)+(4x3)= 28+12

Given that the length of a rectangle is 30 inches and its width is 12 inches, you need to use the formula for calculating the area of a rectangle:

Where "l" is the length and "w" is the width of the rectangle.

In this case:

Then, you can substitute values into the formula and evaluate:

Hence, the answer is:

Answer:

how much pounds?

Step-by-step explanation:

The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

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