Write an equation of the circle with center (8,3) and radius 4

We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.

Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.

This statement is referring to a specific vector-valued function, which we can write as:

f(t) = (0, t^2, ct)

where c is a constant.

The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.

The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.

To know more about parabola,

https://brainly.com/question/28973830

#SPJ11

Answer:

oval, triangle

hope it helped you ☺

The cross sections of the cone shown can be circle, oval, parabola and triangle.

Cross section of a figure or shape can be defined as a plane intersecting with the figure. The resulting shape formed in the intersection part is termed as cross section.

Given shape is a cone.

When a cone is intersected vertically, then the cross section formed is triangle.

When the cone is intersected through the straight horizontal line, we get the cross section as circle.

We will get an oval shape when the cone is intersected with the plane with a given slant by not touching the base.

A parabola shape is formed when a slant plane intersects by touching the base

Hence the cross sections of the given cone are circle, oval, parabola and triangle.

Learn more about Cross-sections here :

https://brainly.com/question/14676943

#SPJ6

Answer:

C

Step-by-step explanation:

x+x-1-1-1-1-1-1-1 = -x-x-x+1+1+1+1+1+1+1+1+1

2x-7 = -3x +9

5x - 7 = 9

5x = 16

x = 16/5

x= 3⅕

x= 3.2

Answer: The answer is sixteen.

Explanation: The area of any square would be equal to \(S^{2}\) or lw = a. (Length x width = area). The area could also be found with A =  \(S^{1} x\)   \(S^{2}\).

Side 1 = 4     Side 2 = 4

4 x 4 = 16.

Answer:

vertical,47

Step-by-step explanation:

they are not right next to each other they are across so that is vertical and vertical angles are equal so the second option is correct

Answer:

Vertical; 47

Step-by-step explanation:

The two angles are vertical since they are opposite to each other. Vertical angles are equal therefore, x equals 47° as well.

Answer:

Step-by-step explanation:

the minimum mark the student should obtain is 32

Answer: 18

Step-by-step explanation: 20% of 90 is 18

20% or 0.2

of is another word for multiply

90*0.2=18

Answer: 18 is 20% of 90

The values of A and B that make AX + BY = C are 3 and 5 respectively.

The standard form of the equation is 3x +5y = 15

An intercept is the point where the a straight line or curve touches the x or y axis.

If the curve or line touches the x-axis the y-coordinate is zero and if touches the y-axis the x-coordinate is 0.

in the graph, the x-intercept is 5, as an ordered pair you have (5,0)

The y-intercept is 3 as an ordered pair you have (0,3)

The given equation is AX +BY = c, where C = 15

so the equation is AX +BY = 15

when x =5, y = 0

so that

5A = 15

A = 15/5 = 3

When x = 0, y = 3

so that you have,

3B = 15

B = 15/3 = 5

The values of A and B are 3 and 5 respectively.

Substituting A and B into the equation,

It becomes 3X +5Y = 15

In conclusion, the values of A and B are 3 and 5 respectively and the standard form of the equation is 3x + 5y = 15

Learn more about intercept: https://brainly.com/question/1884491

#SPJ1

Answer:

point a

Step-by-step explanation:

Answer:

Harper see 3 storks 4x3=12

Step-by-step explanation:

The situation that would best be represented by an inverse variation function is (c) The area of a circle as a function of the radius.

An inverse variation function is a mathematical relationship where one variable increases as the other variable decreases, and vice versa. It can be represented by an equation of the form y = k/x, where k is a constant.

Out of the options provided, the situation that would best be represented by an inverse variation function is

c) The area of a circle as a function of the radius.

This is because the area of a circle is given by the formula A = πr^2, where r is the radius. As the radius increases, the area of the circle also increases, but not in a linear way. Instead, the area increases at a decreasing rate. This is an example of inverse variation, where the area (y) increases as the radius (x) decreases, and vice versa. The constant k in this case is π.

Option a) Total cost as a function of the number of items purchased, option b) Distance travelled as a function of speed, and option d) Time it takes to finish a race as a function of the runner's speed, do not represent inverse variation functions.

Therefore, the correct option is (c) The area of a circle as a function of the radius.

Learn more about inverse variation function here

brainly.com/question/29800645

#SPJ4

Based on the truth table, we can say that the conclusion is not a tautological consequence of the premises.

To determine whether the conclusion is a tautological consequence of the premises, we need to evaluate the truth values of the propositions involved using a truth table.

Let's construct a truth table with columns for P1 (Large(a)), P2 (Cube(a)), P3 (Dodec(a)), and the conclusion [P1 ∨ P3 ∧ (P2 ∨ P1)].

P1 P2 P3 (P1 ∨ P3 ∧ (P2 ∨ P1))

T T T T

T T F T

T F T T

T F F T

F T T T

F T F F

F F T F

F F F F

In the truth table, we can see that the conclusion is true in some cases where the premises are true (rows 1-4). However, it is also false in some cases where the premises are true (rows 5-8).

A tautological consequence would mean that the conclusion is true for all possible combinations of truth values for the premises. Since there are cases where the conclusion is false while the premises are true, it does not meet the criteria for a tautological consequence.

To know more about tautological consequence , visit;
https://brainly.com/question/33614050

#SPJ11

Answer:

x > 26

Step-by-step explanation:

1. Distribute 8 to each value in the parentheses

2. Add 6 to both sides (it cancels out)

3. Multiply both sides by 32/8 (the reciprocal) , and cancel that value (leave the x!)

answer is x > 26

Answer:B

This is what I think

Answer: 12,000 lbs is equal to 6 tons

So , the number of throws scarlett made is 40 throws.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 of 100 questions correctly on a test (75/100).

Here.

Given : Over the course of the throws , Scarlett made 20% of her free throws.

the number of throws = 200

The number of throws he made :

=> 20 % of 200

=> 20 /100 * 200

=> 40

So , the number of throws scarlett made is 40 throws.

To know more about percentage , visit

https://brainly.com/question/13195190

#SPJ4

The p-value for the given test is approximately 0.067, rounded to two significant digits. This was calculated by finding the area to the right of z=1.5 under the standard normal distribution.

It is given that Null hypothesis: H0: μ ≤ 0, Alternative hypothesis: H1: μ > 0, Population standard deviation: σ = 1, Test statistic: z = 1.5

To find the p-value, we need to calculate the probability of observing a z-value of 1.5 or greater under the null hypothesis. Since the population follows the standard normal distribution, we can use a standard normal table or a calculator to find this probability.

Using calculator, we can find that the area to the right of z = 1.5 is approximately 0.0668 (rounded to four decimal places).

Since this is a one-tailed test with the alternative hypothesis in the right tail, the p-value is equal to the area in the right tail beyond the observed z-value. Therefore, the p-value for the test is approximately 0.067 (rounded to two significant digits).

So, the p-value for the given test is 0.067 (rounded to two significant digits).

To know more about p-value:

https://brainly.com/question/30461126

#SPJ4

Solution

Now

Add and subtract

The pairs of rectangles are similar polygons; Option C and Option D.

A polygon is a closed figure made up of three or more line segments connected end to end.

Similar polygon beings their sides have equivalent ratios to each other.

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.

C. 1.89/2.1 = 81/0.9 = 90

D. 120 / 24 = 60 / 12 = 5

Hence, Option C and Option D are similar polygons only.

Learn more about polygon here;

https://brainly.com/question/14422754

#SPJ1

With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

To learn more about Congruence of Triangles from the given link

https://brainly.com/question/2938476

#SPJ4

Given that the equation of the tangent line of f(x) at the point (a, f(a)) is given by y = (2a + 2)x -4+ a². So, the correct answer is y = (2a + 2)x -4+ a². Hence, option A is correct.

Since we are given the tangent line equation and we need to find the point at which it touches the curve f(x), we can apply the following steps:Find the slope of the tangent line using the given equation.Then, find the derivative of f(x) to find the slope of the curve.Substitute the value of a into the derivative to find the slope of the curve at the point (a, f(a)).Use the point-slope form of the equation to find the equation of the tangent line.Substitute the value of x in the equation to find the point at which the tangent touches the curve f(x). Given the equation of the tangent line, y = (2a + 2)x -4+ a², we can observe that the slope of the line is 2a + 2. This is because the equation of a line in slope-intercept form is y = mx + c, where m is the slope of the line and c is the y-intercept of the line.In this case, the slope of the line is 2a + 2 and the y-intercept is -4 + a². We need to find the point at which this tangent line touches the curve f(x).To find the slope of the curve at the point (a, f(a)), we need to find the derivative of f(x) and substitute a into it. The derivative of f(x) is given by f'(x) = 2x - 2. Therefore, the slope of the curve at the point (a, f(a)) is f'(a) = 2a - 2.Now that we have both the slope of the tangent line and the slope of the curve at the point (a, f(a)), we can use the point-slope form of the equation to find the equation of the tangent line. The point-slope form of the equation is given by y - f(a) = (2a - 2)(x - a). Simplifying this equation, we get y = 2ax - 2a² + f(a).We can now equate the equation of the tangent line with the equation of the curve f(x) and solve for x. The equation of the curve is given by f(x) = x² - 2x + 4. Substituting y = f(x) and y = 2ax - 2a² + f(a), we get x² - 2x + 4 = 2ax - 2a² + f(a). Simplifying this equation, we get x² - 2(a + 1)x + (2a² - f(a) + 4) = 0.

The equation of the tangent line of f(x) at the point (a, f(a)) is given by y = (2a + 2)x -4+ a².

To learn more about slope of the curve visit:

brainly.com/question/14286753

#SPJ11

Answer:

b≤3

Step-by-step explanation:

For this problem, you want to solve it similarly to linear equations.

We start with 4b+6≤18.

Subtracting 6 from both sides gives 4b≤12.

From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.

**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!

The condition that will never be required for a nonparametric test is The data are interval. so, the correct option is A).

Nonparametric tests do not assume any specific distribution for the data and do not rely on population parameters such as mean and variance. Therefore, they can be used with data that are nominal, ordinal, or interval, without any assumption about the underlying distribution of the data.

Nonparametric tests rely on the rank ordering of the data rather than their exact values, making them robust to outliers and non-normality.

However, it is important to note that some nonparametric tests may have assumptions about the nature of the data, such as the independence of observations, or the symmetry or continuity of the distribution. These assumptions should be carefully considered before applying a nonparametric test. The correct answer is A).

To know more about nonparametric test:

https://brainly.com/question/30928348

#SPJ4

____The given question is incomplte, the complete question is given below:

which of the following will never be a required condition of a nonparametric test?group of answer choices

A) data are interval.

B) data are ordinal.

C) the samples are drawn from normally distributed populations.

D) the populations being compared are identical in spread and shape.

Answer:

2y-4y=2+2.

-2y=4.

y= -2.

Answer:

y=−2

Step-by-step explanation:

Step 1: Subtract 4y from both sides.

−2y−2=2

Step 2: Add 2 to both sides.

−2y=4

Step 3: Divide both sides by -2

y=−2

Using the given description < NOP is found to be 46 degrees

given data]

< OPQ = ( 9x - 19 ) degrees

< PNO = ( 2x + 5 ) degrees

< NOP = ( 3x + 16 ) degrees

From the figure described

let < NPO = y

< PNO + < NOP + y = 180 degrees ( sum of angles of triangle )

< OPQ + y = 180 degrees ( linear pair theorem )

Hence we equate both

< PNO + < NOP + y = < OPQ + y

< PNO + < NOP  = < OPQ + y - y

< PNO + < NOP  = < OPQ

( 2x + 5 ) + ( 3x + 16 ) =  ( 9x - 19 )

2x + 3x + 5 + 16 = 9x - 19

5x + 21 = 9x - 19

21 + 19 = 9x - 5x

40 = 4x

x = 40 / 4

x = 10

< NOP = ( 3x + 16 ) degrees

< NOP = ( 3 * 10 + 16 ) degrees

< NOP = ( 30 + 16 ) degrees

< NOP = 46 degrees

Read more on angles here: https://brainly.com/question/25716982

#SPJ1

In order to solve for x in this equation, we must divide 75 by 9. Dividing 75 by 9 gives us 8.3 as the answer. So, x = 8.3.

An equation is a mathematical statement that expresses the equality of two expressions, usually containing one or more variables. It is used to describe the relationships between different variables, such as the area of a circle or the slope of a line. Equations can be used to describe the behavior of physical systems, calculate the solutions to problems, and make predictions about future events.

This is happening because when we divide 75 by 9, we are essentially asking "how many 9s go into 75?". 75 divided by 9 is equal to 8.3, meaning 8 and 3/9ths of 9 go into 75. Therefore, x = 8.3.

To know more about equation click-
https://brainly.com/question/2972832
#SPJ1

In order to solve for x the given equation, we must divide 75 by 9. Dividing 75 by 9 gives us 8.3. So, x = 8.3.

An equation is a mathematical statement that expresses the equality of two expressions, usually involving one or more variables. Used to describe relationships between different variables. Area of ​​circle or slope of line. Equations can be used to describe the behavior of physical systems, calculate solutions to problems, and predict future events.

That's because when you divide 75 by 9, you're essentially asking, "How many 9s are there in 75?" 75 divided by 9 is 8.3. So 3/9 of 8 and 9 is 75. So x = 8.3.  

To know more about equation click-

https://brainly.com/question/2972832

#SPJ1

The complete question is as follows:

Solve for x. Round to the nearest tenth, if necessary.

75 = 9x

Answer:

A and C

I hope this helps a little bit.

Answer:

irrational numbers are reapeating - B

irrational numbers are non terminating -A

I'm not sure about A though

Answer:

-4.23230, -4.232300, -4.2323000

Answer:

1) -4.23230 2)-4.232300 3)-4.2323000

Step-by-step explanation:

Where is my brainliest and my points :)