can someone find the radius and center point of x^2+y^2-16x+2y+56=0 (general form)

The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

A.) The probability that she will NOT randomly take out two oranges in a row,

Probability = 1 - (5/12)² = 0.8264

B.) The probability that she will NOT randomly take out two grapefruits in a row,

Probability = 1 - (4/12)² = 0.8264 = 0.8889

C.) The probability that she will NOT randomly take out two apples in a row,

Probability = 1 - (3/12)² = 0.8264 = 0.9375

D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,

Probability = (7/12) × (9/12) × (8/12) = 0.2917

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Answer:

[tex]y=\dfrac{1}{2}(x+5)^2-3[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

Parent function

[tex]y=-x^2[/tex]

Reflected in the x-axis

[tex]-f(x) \implies y=-(-x^2)\implies y=x^2[/tex]

Compressed vertically by a factor of 1/2

Multiply the whole function by the given scale factor:

[tex]\dfrac{1}{2}f(x)\implies y=\dfrac{1}{2}x^2[/tex]

Translated 3 units down

Subtract 3 from the whole function:

[tex]f(x)-3 \implies y=\dfrac{1}{2}x^2-3[/tex]

Translated 5 units left

Add 5 to the variable of the function:

[tex]f(x+5) \implies y=\dfrac{1}{2}(x+5)^2-3[/tex]

To sketch the parabola

Vertex = [tex](-5, -3)[/tex]

Axis of symmetry:  [tex]x = -5[/tex]

Plot points:

[tex]x=-9 \implies \dfrac{1}{2}(-9+5)^2-3=5 \implies (-9,5)[/tex]

[tex]x=-7 \implies \dfrac{1}{2}(-7+5)^2-3=-1 \implies (-7,-1)[/tex]

[tex]x=-3 \implies \dfrac{1}{2}(-3+5)^2-3=-1 \implies (-3,-1)[/tex]

[tex]x=-1 \implies \dfrac{1}{2}(-1+5)^2-3=5 \implies (-1,5)[/tex]

Answer:

25/8 in decimal form is 3.125.

Step-by-step explanation:

I hope this helps! :)

Vertex is located over the center of the base of a regular pyramid.

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here,  Vertex is the point which is located over the center of the base of a regular pyramid.

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The statements that are true for Trapezoid WXYZ are:

We are told that;

Shape is a trapezoid WXYZ.

Now, In a trapezoid, one pair of opposite sides are parallel and parallel lines have the same slope.

Lastly, the slope of line parallel to x axis is 0 and so If the line starts at the bottom left and goes towards the top right it has negative slope. Thus, all the statements that are true for Trapezoid WXYZ are:

Complete question is;

Four lines are drawn on a coordinate plane to form trapezoid WXYZ. Which statements are true about the lines? Select all that apply.

Line WZ has the same slope as line XY.

Line YX has a greater slope than line ZY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line WZ.

Line XY has a greater y-intercept than line XW

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The possible orders in which Elliott can do these tasks is 24

Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.

P(n,r) = n! / (n-r)!

As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)

4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways

ABCD ABDC

ACBD  ACDB

ADBC ADCB

This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .

Similarly for other 3 works , total 24 possible orders can be followed.

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Answer: x = 20

Step-by-step explanation:

   If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for x.

Given:

(4x - 23) = (2x + 17)

Add 23 to both sides of the equation:

4x = 2x + 40

Subtract 2x from both sides of the equation:

2x = 40

Divide both sides of the equation by 2:

x = 20

The value of the complete equation is 5.1.

We have given the equation,

15.3 ÷ 3 = tenths + 3 15.3÷ 3 = tenths 15.3 ÷ 3

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Therefore we have,

[tex]15.3/3=15+0.3 \ tenths/3\\=5+0.1 \ tenths\\=5.1[/tex]

Therefore the value of the complete equation is 5.1.

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(3x-2)^2

squares area is 2 times its side length, since all the sides are the same. if the side length is 3x-2, take its second power

The net represents a cube.

The net shows a cube with a side length of 12 cm, meaning its surface area is [tex]6(12)^{2}=\boxed{864 \text{ cm}^{3}}[/tex]

Answer:

Step-by-step explanation:

The Platonic solid with six (6) square faces is the cube. Its surface area is the sum of the areas of the square faces. Each of those is the square of its edge length.

__

The 3-dimensional shape represented by the net is a cube.

The area of the cube is ...

  6 × (12 cm)² = 6 × (144 cm²) = 864 cm²

Step-by-step explanation:

please mark me as brainlest

Answer: x = 4/3

Step-by-step explanation: I just answered the answer

Answer:

Area=18ft^3 Surface Area=44ft^2

Step-by-step explanation:

The formula for area of a rectangular prism is A=lwh. So you just plus that in

Answer:

Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space

Step-by-step explanation:

Please see attached explanations.

Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.

Volume is the length multiplied by the width multiplied by the height.

By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.

Answer:

the second one

Step-by-step explanation:

just looking at the y values you get

-24y + 32y so that will give u +8y , there is only one answer with that

Answer:

x because say you have a prime number, 7, a will equal 1 and the other factor is 7 so it must be x

Answer:

[tex]\dfrac xa[/tex]

Step-by-step explanation:

[tex]\text{Let the other factor be k,}\\\\~~~~~~~a \times k =x\\\\\implies k = \dfrac x a\\\\\text{Hence, the other factor is}~ \dfrac xa[/tex]

Answer: Heyaa! ^^

When you simplify (17^14)^20 Your Answer is

Step-by-step explanation:

Hopefully this helps you!

======================================================

Work Shown:

(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)

160/500 = x/2500

x = 2500*(160/500)

x = 800

------------

Another approach:

160/500 = 0.32 = 32% of the first group has blue eyes

Assuming this percentage is the same for any group, then,

32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.

Answer:

7. 630

8. I'm not sure on this one-

9. 1331

Step-by-step explanation:

So for a rectangular prism the formula is l x w x h (length times width times height) Which would be 14 * 5 * 9 which equals 630

For the triangular prism, I forgot the formula

For the cube, you are given 1 number, 11, since it's a cube all lengths are the same so you do 11 to the power of 3 = 1331

Answer:

There are infinitely many solutions to the system because the equations represent the same line

Answer:

144

Step-by-step explanation:

540 degrees is the sum of angles in a pentagon

Divide 540 by 5(number of sides) =108(interior angle)

Since there are two pentagons you do 108 X 2 = 216 degrees

Do 360 - 216 = 144

so your answer is right

The exponential function of the table is y = 0.75(2)^x

From the table, we have the following points

(x,y) = (0,0.75) and (1,1.5)

An exponential function is represented as:

y = ab^x

At (0,0.75), we have:

0.75 = ab^0

a = 0.75

Substitute a = 0.75 in y = ab^x

y = 0.75b^x

At (1,1.5), we have:

1.5 = 0.75b^1

Evaluate

1.5 = 0.75b

Divide both sides by 0.75

b =2

Substitute b =2 in y = 0.75b^x

y = 0.75(2)^x

Hence, the exponential function is y = 0.75(2)^x

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The length of the band in terms of π is given by the expression:

L = 40mm + π*10mm

Remember that for a circle of diameter D, the circumference is:

C = π*D.

Now, if you look at the image, you can see that the length of the band will be equal to 4 times the diameter of the pencils (one time for each side). Plus 4 times one-fourth of the circumference of each pencil (for the four corners).

because the diameter is 10mm, the length of the band will be:

L = 4*10mm + 4*(π*10mm/4)

L = 40mm + π*10mm

This is the length of the band in terms of π.

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Answer: A right angle

Step-by-step explanation:

Perpendicular lines form right angles

Answer:

90 degree

Step-by-step explanation:

P(ages 15-19|learning piano) = P(playing piano|ages 25-29) so option (B) must be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

In other words, a frequency table is a table in which we have some data and their frequency.

Given the problem has been attached below,

It is clear that

Number of playing piano in the age of 25 - 29 = Number of playing piano in the age of 15 - 19

Hence it should be the correct answer.

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Answer: 16 centimeters

Step-by-step explanation:

    We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.

a² + b² = c²

12² + b² = 20²

144 + b² = 400

b² = 256

b = [tex]\sqrt{256}[/tex]

b = 16

          The length of the other leg is 16 centimeters.

Answer:

The other leg is 16 cm long.

Explanation:

Use the Pythagorean theorem:

[tex]c^2=a^2+b^2[/tex],

where:

[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).

Let [tex]a=12[/tex] [tex]cm[/tex]

Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.

[tex]b^2=c^2-a^2[/tex]

[tex]b2=(20 cm)^2-(12 cm)^2[/tex]

Simplify.

[tex]b^2=400 cm^2-144cm^2[/tex]

[tex]b^2=256 cm^2[/tex]

Take the square root of both sides.

[tex]b=\sqrt{256cm^2}[/tex]

Simplify.

[tex]b=16[/tex] [tex]cm[/tex]

The probability of drawing a white marble on the first draw, followed by a black marble on the second is 4/15

The distribution of the marbles is given as:

White = 6

Black = 4

When the white marble is drawn, the probability is:

P(White) = 6/10

Now, there are 9 marbles left.

When the black marble is drawn, the probability is:

P(Black) = 4/9

The required probability is:

P = 6/10 * 4/9

Evaluate

P = 4/15

hence, the probability is 4/15

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Using it's concept, it is found that the conditional probability of B given that A occurs first is of [tex]p = \frac{3}{10}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

When two dice are rolled, we have these 36 outcomes:

Of those, 30 involve a sum of less than 10, and of those 30, 9 involve a sum that is multiple of 3(either 3, 6 or 9), hence the probability is given by:

[tex]p = \frac{9}{30} = \frac{3}{10} = 0.3[/tex]

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Answer:

  see attached

Step-by-step explanation:

The two different triangles can be formed by placing the 90° angle adjacent to, or opposite the given side.

__

In the attached diagram, the two triangles are ABC and ABD. The right angles are at vertex C and vertex B, respectively.

Answer:x = 0.449

Step-by-step explanation:

You will find it in the screenshots! up there☝️

The operation that should be completed first to find the value of the expression is 6 - 3

The expression is given as:

12 + 30/(6 - 3) + 1

When solving an expression;

All expressions in the bracket must be first evaluated

This means that the operation that should be completed first is 6 - 3

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Answer:

D

Step-by-step explanation:

it shows the correct one