Graph of the function

The intersection of two planes can be a line. Therefore, it's true.

A plane is a flat, two-dimensional surface that never ends in mathematics. A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

A line is formed by the intersection of two planes. The planes are parallel if they do not intersect. Due to the endless nature of planes, they cannot meet at a single place. In addition, because planes are flat, they cannot intersect over more than one line.

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Answer: y=15, AQ=31, QX=14

Step-by-step explanation:

2y+1+y+1=45

3y=45

•1/3 to both sides

y=15

then substitute 15 for y in the other equations to get the result

Using the binomial distribution, there is a 0.6328 = 63.28% probability that she wins at most 1 prize.

For each box, there are only two possible outcomes, either it has a prize, or it does not. The probability of a box having a prize is independent of any other box, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

She buys 5 boxes, hence

1 in 4 boxes has a prize, hence

The probability is:

P ( X ≤ 1 ) =P ( X = 0 ) + P ( X = 1 )

Then ,

P ( X ≤ 1 ) = P ( X = 0 ) + P ( X = 1 )

= 0.2373 + 0.3955

= 0.6328

Thus 0.6328 = 63.28% probability that she wins at most 1 prize

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The possible coordinates of the point​ A is (-3, -5) and  (-3, 7)

The given parameters are:

This means that

A = (-3, y)

The distance between any two points is calculated as

D = √[(x₁ - x₂)² + (y₁ - y₂)²]

Substitute the known values in the above equation

So, we have

10 = √[(-3 - 5)² + (y - 1)²]

Evaluate the difference

10 = √[(-8)² + (y - 1)²]

Take the square of both sides

100 = (-8)² + (y - 1)²

So, we have

100 = 64 + (y - 1)²

Evaluate the like terms

(y - 1)² = 36

Take the square roots

y - 1 = ±6

This gives

y = 1 ± 6

So, we have

y = -5 and 7

Hence, the coordinates of point​ A is (-3, -5) and  (-3, 7)

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Hours satellite will take  to reach a star that is three light years away is 1.039 * [tex]10^{9}[/tex] hours.

Given :

satellite can move at 17,000 miles per hour.

let t be the number of hours

Convert the disance to miles

3 light years = 3 * 9.5 * [tex]10^{12}[/tex] kilometers

= 3 * 9.5 * [tex]10^{12}[/tex] * 0.62 miles

= 1.767 *  [tex]10^{13}[/tex] miles

divide by the speed to get the time in hours

t = 1.767 *  [tex]10^{13}[/tex] miles /17000 miles /hour

t = 1.039 * [tex]10^{9}[/tex] hours

Hence hours satellite will take  to reach a star that is three light years away is 1.039 * [tex]10^{9}[/tex] hours.

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Answer:

k=151, g=71, m=29, h=109

Step-by-step explanation:

Vertical angles and sum theory. lmk if you want an in detail explanation

Answer:

that looks hard

Step-by-step explanation:

When working with Histograms, choose from 5 to 20 bins. The greater the data collection, the more probable it is that you will require a high number of bins. For example, a collection of 12 data points may deserve 5 bins, whereas a set of 1000 numbers will most likely benefit from 20 bins. The exact number of bins is typically a matter of personal preference.

A histogram displays numerical data by arranging it into equal-width "bins." Each bin is represented by a bar, the height of which corresponds to the number of data points in that bin. Bins are sometimes known as "intervals," "classes," or "buckets."

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What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Part 1

we have

2 : 3 = 6 : x

value of x=9

Part 2

4 : 7 = x : 42

x=24

Part 3

2x : 48 = 3 : 12

2x=12

x=6

Part 4

12 : 15 = x : 20

x=16

The commutative property is not applied properly

The commutative property is an algebraic property that states that

a + b = b + a and ab = ba

The expression is given as

5 + .9y - 8

The second expression is given as

6.9y + 8 - 5

First, both expressions are not equivalent

This is because

5 + .9y - 8 = .9y - 3

6.9y + 8 - 5 = 6.9y + 3

Hence, Maggie did not apply the property properly

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Answer: -4 only

Step-by-step explanation:

Though f(x) approaches -2 for the x-values of -5, -4, and -2, the limits for -5 and -2 don't exist because the left and right hand limits are not equal.

(4,-2) does not lie on the line

Here, we want to select the point that is not a solution to the graphed line

What we have to do is just to susbtitute the value of x and y. If by aritjmetic operation, the result is 16, then the point lies on the line

We proceed as follows;

a) (4,-2)

-2(4) -4(-2)

-8+8 = 0

This lies on the line

b) (1, -4.5)

-2(1)-4(-4.5) = -2 + 18 = 16

This is not on the line

c) (-2,-3)

-2(-2)-4(-3) = 4 + 12 = 16

d) -2(-5)-4(-1.5)

= 10 + 6 = 16

As we can see, only the first point does not lie on the line

Answer:

46

Step-by-step explanation:

Answer:

265

Step-by-step explanation:

the nth term of an arithmetic progression is given by

[a+(n-1)d]

where "a" is the first term, "d" is the common difference and "n" is the term you're looking for

from the question, a= 17

d=4

n=63

substituting, [17+(63-1)4]=[17+248]=265

Answer: 452 cm squared

Step-by-step explanation:

Since the diameter is the radius times two, the radius of this circle is 24 divided by 2 which is 12. To find the area of a circle you multiply the radius by pi. Pi= 3.14, so 3.14(pi) times 12(radius)= 452.16 cm.

Answer:

Step-by-step explanation:

24 : 2 = 12 ft

π12² =

3.14 * 12² =

3.14 * 144 =

452.16 ft²

Answer:

15:50

Step-by-step explanation: Out of the 50 times the coin was flipped, it landed on tails 35 times. This means it landed on heads 15 times (50-35=15). The ratio of heads to the total number of flips would be 15:50.

Given:

To find: The product of two complex numbers:

Explanation:

On expansion we get,

As we know,

So, we w

Answer:

See below

Step-by-step explanation:

A)  Recursive Definition

The value of each term in a sequence that starts at 13 is reduced by 1.5 for each step in the sequence.

B)  Definition for nth Term

   D(n) = D(1)+(n-1)(-1.5)

    D(1) = 13

     D(n) = 13+(n-1)(-1.5)

Examples:

   D(5) = 13 + (5-1)*(-1.5)

   D(5) = 13 + (4)*(-1.5)

   D(5) = 13 - 6, or 7

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

    D(7) = 13 + (7-1)*(-1.5)

    D(7) = 13 + (6)*(-1.5)

    D(7) = 4

The best fitting regression model for the given data plot is  A.Quadratic

The curve-shaped graph of a quadratic function is known as a parabola. On the graph, it is either the highest or lowest point. You can imagine it as the parabola's endpoint.

It is a diagram that illustrates the connection between two or more values or objects. Linear simply implies straight. Straight-line graphs called linear graphs are used to show the relationship between two quantities.

A curve that depicts an exponential function is known as an exponential graph. A curve with a horizontal asymptote and either an increasing slope or a decreasing slope is called an exponential graph. i.e., it begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates.

The given curve is Quadratic as its graph is parabolic in nature.

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If Stella walks down a flight of stairs to the basement. Then she walks back up the stairs and another flight of stairs to the second floor of her house. How far is Stella above the ground is: 12 ft.

Given:

Flight stair = 12 feet

Hence,

Let walking from down a flight of stairs to the basement = -12 f

Let  walking back up the stairs = 12Ft

Now let determine Stella height above the ground.

Height = -12 feet + 12 feet + 12 feet

Height = 12 feet

Therefore we can conclude that Stella is 12 feet above the ground.

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Answer:
y= [tex]-\frac{4}{3}x-\frac{7}{3}[/tex], so [tex]-\frac{4}{3}[/tex] is your slope!

Step-by-step explanation:

It's best to get this equation in slope-intercept form, meaning to solve for y.

My work is shown below, as to how I solve for y.

4x + 3y = -7

3y = -7 - 4x

Afterward, divide the other side by 3.

y = (-4/3)x (-7/3)

That's how you get the answer. Hope this helped.

As, y = mx + b, and the m stands for the slope, -4/3 is your slope.

The mean and percentage is deduced from a sample in either case, so it is: the statistic for the sample.

For the given question,

A researcher could be looking at which percentage of golfers only use Titleist balls, or what proportion of high school students eat at Taco Bell between meals.

As a result, either in case, the mean as well as percentage is deduced from a sample, as follows: statistics from a sample.

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Answer:

Step-by-step explanation:

1.\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}  

2.\sqrt{\left(5-3\right)^2+\left(14-8\right)^2}  

3.2\sqrt{10}

Answer: 60 m squared dimensions

6 m width

10 m length

Step-by-step explanation:

subtract 8 from the perimeter to account for 2 sides having the extra length then divide the answer by 4 to get the length if all the sides were equal

32-8=24

24/4=6

then add the 4 m back to the answer to get the length

The distance between two places along a segment of a curve is known as the arc length.

The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments.

There are a finite number of segments in the rectification of a rectifiable curve. Using the arc length formula, one may determine a circle's arc length given its radius and center angle. Arc length is equal to r, where r is the radian unit. Arc length is equal to (r/180), where r is the radius in degrees.,

Given :[tex]$r=1, \theta=5 \pi / 6$[/tex]

Now, arc length

[tex]&=\theta / 2 \pi * 2 \pi r \\[/tex]

[tex]&=(5 \pi / 6) / 2 \pi \times 2 \times 3.14 \times 1 \\[/tex]

[tex]&=5 / 12 \times 6.28 \\[/tex]

[tex]&=31.4 / 12[/tex]

=2.618 units

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8(101 -34x) is the equivalent expression of 8(x+3)−14(20x−56)​

Equivalent expressions can be defined as expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify

Given 8(x+3)−14(20x−56)​

By eliminating the parenthesis:

8(x+3)−14(20x−56)​ = ( 8(x) + 8(3) ) - ( 14(20x) - 14(56) )

                            = 8x + 24 - 280x + 784         Add/Subract like terms

                           = -272x + 808

                           = 8(-34x + 101)

                           = 8 (101 -34x)

Therefore the equivalent expression for 8(x+3)−14(20x−56)​ is 8(101 -34x)

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