Vanessa draws one side of equilateral AABC on the coordinate plane at points A(-2, 1) and B(4,1). What are the possible coordinates of vertex C? Select all that apply.​

The option that best explains the relationship between altitude and the boiling point is; A. There is a strong negative correlation between altitude and water's boiling point.​

In correlation coefficient, we know that a positive correlation occurs when both x and y values increase at the same time while negative correlation occurs when y value decreases as x value increases.

Now, we see from the given graph that y-values are decreasing with increasing x-values and as such this is a negative correlation.

Now, we want to determine whether it is a strong or weak correlation.

The scatterplot is close to being a straight line and as such the correlation coefficient will be close to - 1 which makes it a strong negative correlation.

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Answer: A is correct

Step-by-step explanation:

took the test

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is [tex]C=25(1.025)^x[/tex]

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

[tex]\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28[/tex]

It will take 28 years

Answer:

Yes

Step-by-step explanation:

2 hours=40

so 1 hour=20

if we use that:

3.5x20=70 as stated

4x20=80 as stated

5x20=100 as stated

so there is a proportional relationshi.

Answer:

try the diamond see if that works sorry if its wrong

Triangle is  most likely the next step in the series, option D is correct.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first polygon is hexagon which has 6 sides

The second polygon is Pentagon which has 5 sides

The third polygon is square which has 4 sides

As we observe one side is decreasing from the each polygon from 1st to 3

So the fourth polygon will have three sides which is triangle

Hence, triangle is  most likely the next step in the series, option D is correct.

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Answer:

(4.6, 4)

Step-by-step explanation:

Given the coordinates (3,2) and (7, 7) partitioned between 3:2

M(X,Y) = [(ax1+bx2/a+b, ay1+by2/a+b)]

X = 3(3)+2(7)/3+2

X = 9+14/5

X = 23/5

X = 4.6

Similarly;

Y = 3(2) + 2(7)/3+2

Y = 6+14/5

Y = 20/5

Y = 4

Hence the required coordinate is (4.6, 4)

Answer:

2·x^5·y

Step-by-step explanation:

2x^5y

Answer:

2*2*3*3*5

When these numbers are multiplied, the answer is 180.

The numerical figures are used to write numbers more than 100.

What is numbers?

An arithmetic value known as a number is used to represent a quantity and perform calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.

To represent numbers greater than 100, use numeral figures; however, whole numbers, such as 300 or 1,000, should be written out.

When representing non-whole numbers like 1,239 or 603, use numerals.

Except for whole numbers combined with hundred, thousand, hundred thousand, million, billion, and beyond, the Chicago Manual of Style advises spelling out numbers from zero to one hundred and using figures after that (e.g., two hundred; twenty-eight thousand; three hundred thousand; one million).

Hence, the numerical figures are used to write numbers more than 100.

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Answer:

f(6) = - 50

Step-by-step explanation:

substitute x = 6 into f(x) , that is

f(6) = - 6² - 14 = - 36 - 14 = - 50

Answer:

-50

Step-by-step explanation:

f ( x ) = - x² - 14

Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).

f ( 6 ) = - (6)² - 14

f ( 6 ) = - 36 - 14

f ( 6 ) = -50

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

We know,

______________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

b. 2 feet

Step-by-step explanation:

The formula for volume of a cylinder is: V=πr^2h

Start by plugging in what they give you

V=πr^2h

314 =π(r)^2(25)

314 = 25π(r)^2

divide both sides by 25π, which is 78.5

4 = r^2

take the square root of both sides

r = 2

Answer: The greatest of the three is 10.

Step-by-step explanation:

27/3=9 so the numbers will be around nine.

8+9+10=27

Answer:

Let x represent the value of the smallest of the three consecutive integers.

Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.

Since the sum of the three integers is 27, we have:

x + (x+1) + (x+2) = 27

Combining like terms, we have:

3x + 3 = 27

Subtracting 3 from both sides, we have:

3x = 24

Dividing both sides by 3, we have:

x = 8

Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.

Thus, the value of the greatest integer is 10.

Step-by-step explanation:

The statement that is correct about the behavior of the given graph is; D:

The range of the function is all real numbers greater than or equal to 0.

The graph of the function  is as shown in attached diagram.

The function is;

y = √-x

1. The domain of the function is defined the set of all possible input values for x. Therefore, upon close inspection of the graph, we can say that the domain of this function is;

x ∈ (-∞, 0]

2. The range of the function is defined as the set all possible output values for y. By closely inspecting the attached graph, we can say that  the range of this function is; y ∈ [0, -∞)

From the above, we can tell that the range of the function is all real numbers greater than or equal to 0.

Looking at the options, only option D can be said to be correct about the behavior of the given graph.

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The missing options are;

The domain of the function is all real numbers greater than 0.

The range of the function is all real numbers less than or equal to 0.

The domain of the function is all values less than 0.

The range of the function is all real numbers greater than or equal to 0.

Answer: 25% of 40 is 40 times 25 divided by 100 which is 10 (number of children in the club)

there:)

Answer: 160 children

Step-by-step explanation: 25% times 4 is 100%. So, you'd multiply 40 by 4.

Answer:

The value of x is 12.

i think it is correct.

Answer:

22. acute triangle

23. right triangle

24. equilateral triangle

25. right triangle

Step-by-step explanation:

let me know if any of these are wrong

Choose the range of values for the x-axis and the y-axis , Plot the points on the graph, using the logarithmic formula , Connect the points with a smooth curve and Label the axes and add any other details you want to include.

1. Choose the range of values for the x-axis and the y-axis. Select the minimum and maximum values for both the x-axis and the y-axis.

2. Plot the points on the graph, using the logarithmic formula. Use the formula log(x) = y to calculate the points that should be plotted on the graph. For example, if the x-axis range is from 1 to 10, and the y-axis range is from 0 to 10, then the first point would be (1,0).

3. Connect the points with a smooth curve. Once all the points have been plotted, use a ruler or a graphing calculator to connect them with a smooth curve.

4. Label the axes and add any other details you want to include. Use a ruler or a graphing calculator to label the axes and add any other details you want to include, such as a title, a legend, or a grid.

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Answer:

121 feet

Step-by-step explanation:

By graphing the equation we can see the maximum y value is 121

The explicit formula for an arithmetic sequence whose common difference is 8 and the first term is -2 is

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The sequence is given by the formula

nth term = a + (n - 1) * d

where a = first term

n = the term

d = common difference

In the problem, d = -2 and a = 8, because of this we have

= a + (n - 1) * d

= 8 + (n - 1) * -2

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Answer:

80 I THINK, SORRY IF NOT RIGHT

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(-3, 2)

Step-by-step explanation:

I think because of the vertex

Answer:

b

Step-by-step explanation:

edge 22

Answer:

The approximate area by Riemann Sum of the curve is represented by [tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex].

Step-by-step explanation:

The area below the curve is estimated by the concept of Riemann Sum with right endpoint rectangles, which is defined by the following formula:

[tex]A = \left(\frac{\Delta x}{n} \right) \cdot \Sigma \limits_{t = 1}^{n} g\left (x_{o} + \frac{\Delta x}{n}\cdot t \right)[/tex] (1)

Where:

[tex]A[/tex] - Area below the curve, in square units.

[tex]n[/tex] - Number of rectangles, no units.

[tex]x_{o}[/tex] - Lower bound of the interval, in units.

[tex]\Delta x[/tex] - Length of the interval, in units.

[tex]t[/tex] - Summation index.

If we know that [tex]g(x) = 2\cdot x^{3} - 4[/tex], [tex]n = 10[/tex], [tex]x_{o} = 2[/tex] and [tex]\Delta x = 4[/tex], then the area below the curve is represented by the following equation:

[tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex]

Answer:

[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)[/tex]

Step-by-step explanation:

We want to simplify:

[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}[/tex]

Recall the Pythagorean Identity:

[tex]\sin^2(A)+\cos^2(A)=1[/tex]

So:

[tex]\cos^2(A)=1-\sin^2(A)[/tex]

Substitute:

[tex]\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}[/tex]

Factor. We can use the difference of two squares pattern:

[tex]\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}[/tex]

Cancel. Hence:

[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)[/tex]

Answer:

Step-by-step explanation:

122121

Answer:

y is > 7

Step-by-step explanation:

Any y value greater than 7 would make the product greater than 5. This can be looked at as y > 7. So y/7 can be rthough of as y divided by 7. 5 x y/7 can be though of as y * 5 divided by 7. Or 5y/7. To make this value 5, y must be 7. Since 7/7 is 1, and 1*5 is 5. If the number is greater than this it would have to be >7/7, since this would make it >1*5. So y must be >7. Hope this helps!

Answer:

9 (or anything above)

Step-by-step explanation:

5 x 9/7 = 45/7 = 6 3/7. Anything above would also work. Also, 8 and 7 work too

Answer: Commutative property.

Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.

Let me know if this is right! :)

Answer:

44

Hope this helps.  :)

Answer:

Step-by-step explanation:

See the difference in y-values:

Next level difference is 4, so add 4 to 16:

Now add 20 to the last number:

The next number is 48