y = -4x
y = x

Determine weather the graphs of the question are parallel, perpendicular ir neither?

Answer:

30 degrees

Step-by-step explanation:

Angle B is an inscribed angle -- its vertex is on the circle and it intersects the circle in two points, A and C.

The measure of an inscribed angle is always one half the measure of the intercepted arc.  The intercepted arc has measure 60 degrees, so the measure of angle B is 30 degrees.

Divisibility rule of 3:

If the sum of the digits are divisible by three, the number is divisible

Divisibility rule of 4:

If the last two digits are divisibly by four, it's divisible

Now let's apply the divisibility rule with the numbers

A) 101.444/3 = 33.1846666...

So it's clearly not divisible by three

B) 112436/3 = 37478.6666...

Not divisible by three either

C) 118754/3 = 39584.6666...

Nope.

D) 118422/3 = 39474

We found one that is divisible, so now we divide it by four

We take the last two digits and divide it with four

22/4 = 5.5

Therefore, the answer is D, because it ends with quotients that doesn't repeat

Answer: 52.5

Step-by-step explanation: I used a calculator.

Answer:

\( \boxed{460 \: bacteria}\)

Answer:

Step-by-step explanation:

Answer:

A triangle has an area of 30cm². The base and height are scaled by a factor of 3. What is the area of the resulting triangle? _cmA triangle has an area of 30cm². The base and height are scaled by a factor of 3. What is the area of the resulting triangle? _cm²²

The area of the figure = area of trapezium + area of rectangle = 420 cm².

Area of trapezium = 1/2(a + b)h

Area of rectangle = length × height.

The area of the figure = area of trapezium + area of rectangle

The area of the figure = 1/2(a + b)h + length × height

Plug in the values

The area of the figure = 1/2(23 + 15)6 + 23 × 12

The area of the figure = 144 + 276

The area of the figure = 420 cm²

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Answer: The area is 390 cm

Step-by-step explanation:

All you have to do is find the area of the trapezoid and the area of the rectangle and add them together.

Area of trapezoid formula: A = 1/2 (Base 1 + Base 2)h

base 1 = 15 cm

base 2 = 23 cm

height = 6 (18-12)

so, 15 + 23 = 38

38 x 6 = 228

228 x 0.5 or 1/2 = 114

Therefore the area of the trapezoid is 114 cm

Area of rectangle formula: A = bh

base = 23

height = 12

12 x 23 = 276

Therefore the area of the rectangle is 276 cm

Now add the values together, 114 + 276 = 390

390 is the area of the figure

Answer:

8358 cubic ft

Step-by-step explanation:

Answer:

hello, your name similarty to my name

Step-by-step explanation:

put 6 from x and to find function

f(6)= 72-42-6=24

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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No matter the order you add multiple numbers.

In the case of:

3 + 5 + 8

We can add first 5 and 8

3 + (5+8)

or first 3 and 5

(3 + 5) + 8 ​

This is called associative property of addition.

Answer:

The Answer is gonna be 66-11y

EXPLANATION :

11 (6 - y)

11x6=66

11(y)=11y

So we will get 66-11y

Answer:

N=\(\sqrt{61}\)

Step-by-step explanation:

We have the first point as (2,4), and the second point as (-3,-2). This means that \(x_1=2, y_1=4,x_2=-3,y_2=-2.\) Using the distance formula, we get \(\sqrt{(2-(-3))^2+(4-(-2))^2} \\\sqrt{(2+3)^2+(4+2)^2}\\\sqrt{25+36}=\sqrt{61}\)

Answer:

\(\sqrt{61}\)

Step-by-step explanation:

The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4)

The coordinates of x will remain the same for reflection in the X axis, while y will change with the opposite sign.

From the question, we have

The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4).

Reflection:

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively. The coordinate system may be referred to by the reflection transformation (X and Y-axis).

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The question that would be more appropriate for Enrique's survey of high school teachers is Among high school teachers, what is the most popular restaurant to eat dinner at in town?

Enrique's conclusion about adults liking to eat dinner at The Bistro more than other restaurants in town may not be accurate since his survey was only limited to high school teachers.

To make his conclusion more reliable, Enrique could have asked a more specific question that is relevant to high school teachers. Here are a few examples of more appropriate questions for Enrique's survey of high school teachers:

Among high school teachers, what is the most popular restaurant to eat dinner at in town?

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Answer:

SA=72

Step-by-step explanation:

18+18=36

12+12=24

6+6=12

36+24+12=72

Answer:

2.25

Step-by-step explanation:

5.20 * 1.06 = 5.512

11.70 - 5.512 = 6.188

6.188 / 2.75 = 2.25018

Round to the nearest hundredth which equals....

2.25

The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

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Answer:

Step-by-step explanation:

12

Given:

A graph of bell peper patch is given as below

Find:

we have to find the Maximum possible area of bell peper patch represented by the function p corresponding to the length of the tomato patch x.

Explanation:

From the given graph of function p(x), it is observed that the function has maximum value at x = 6.

Therefore, when x = 6, we get

as the function p represents the area of the bell peper patch,

Therefore, Maximum possible area of the bell peper patch is p = 18 square feet, when the length of the zomato patch is x = 6 feet.

Answer:

676,000 different plates

Step-by-step explanation:

First alphabet = A - Z = 26 alphabets

Second alphabet = A - Z = 26 alphabets

Possible pairs = 26 * 26 = 676

3 digits:

Digits = (0 - 9) = 10

1st = 10

2nd = 10

3rd = 10

Possibilities = 10^3 = 1000

Total different possible number plates :

1000 * 676 = 676,000

The time complexity of this algorithm is O(n), where n is the length of the arrays A and B. Since we traverse both arrays at most once, the algorithm runs in linear time in the worst case.

To solve the problem of finding an element a from array A and an element b from array B such that a + b = 100, we can use a linear time algorithm with a two-pointer approach. Here's the algorithm:

Initialize two pointers, one for array A (pointerA) and one for array B (pointerB), both starting at the beginning of their respective arrays.

While pointerA < length of array A and pointerB >= 0:

Calculate the sum of the elements at pointerA and pointerB: sum = A[pointerA] + B[pointerB].

If sum is equal to 100, return true as we have found a pair (a, b) where a + b = 100.

If sum is less than 100, increment pointerA to move to the next element in array A.

If sum is greater than 100, decrement pointerB to move to the previous element in array B.

If the loop completes without finding a pair (a, b) where a + b = 100, return false.

The key idea of this algorithm is that since both arrays A and B are sorted, we can start from the ends of the arrays and move inward. By comparing the sum of the current elements from both arrays with the target value (100 in this case), we can determine if we need to move the pointers to explore other possibilities.

The time complexity of this algorithm is O(n), where n is the length of the arrays A and B. Since we traverse both arrays at most once, the algorithm runs in linear time in the worst case.

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Answer:

-25

Step-by-step explanation:

= (20-25)(16+4)/-8+(3×4)

= (-5×20)/(-8+12)

= -100/4

= -25

so the 5 gallons ones is 40% acid, how much acid solute is in it anyway? well just 40% of 5 or namely 0.4*5 = 2 gallons.

the 3 gallons one is 50%, likewise it has 0.50 * 3 = 1.5 gallons of acid solute in it.

\(\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{amount}\\ \cline{2-4}&\\ \textit{1st mixture}&5&0.4&\stackrel{(5)(0.4)}{2}\\ \textit{2nd mixture}&3&0.5&\stackrel{(3)(0.5)}{1.5}\\ \cline{2-4}&\\ mixed&8&p&3.5 \end{array} \\\\\\ 8p=3.5\implies p=\cfrac{3.5}{8}\implies p=0.4375\implies p=\stackrel{\%}{43.75}\)

There are 60 students in the class.

They were all born in 1999. No two students in the class have the same birthday date.

Therefore, there are approximately 1.146 x 10^98 ways that no two students in the class have the same birthday date.

Summary: There are 60 students in the class who were all born in 1999. We want to find the total number of ways that no two students in the class have the same birthday date. We use the permutations formula and let n = 365 and k = 60 to get P(365, 60) = 1.146 x 10^98. Therefore, there are approximately 1.146 x 10^98 ways that no two students in the class have the same birthday date.

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A. 52 = 8n + 4, B. 4(2n + 1) = 52 and C. 4 = 52 – 8n are the equivalent equations.

Simplifying the equations, we have

A. 52 = 8n + 4

8n = 48

n = 6

To see this, first simplify equation B:

4(2n + 1) = 52

8n + 4 = 52

8n = 48

n = 6

C. 4 = 52 – 8n

8n = 48

n = 6

Then simplify equation D:

4n = 48

n = 12

As you can see, equations A, B and C are equivalent and both simplify to n = 6.

Therefore, the correct answers are A, B and C.

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Answer:

A

Step-by-step explanation:

Well pretty simple the percent means 0.02/100 move the decimal point to the left by 2 places to get 0.0002 Hope this is helpful!

Answer:

18.445

Step-by-step explanation:

Multiply

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

Answer:

3pi/2

Step-by-step explanation:

that is only one that makes sine negative. others make it 0 or positive