Find the median of the data in the dot plot below.

Answer:

The perimeter of the picture frame is 38.4 in.

The area of the picture frame is 92.6 in.².

Step-by-step explanation:

The given information are;

Perimeter of side piece of picture frame = 24 inches

Length of side piece = L

Width of side piece = W

Perimeter of side piece = 2 × (L + W) = 24

∴ L + W = 24/2 = 12 inches

Dimension of picture frame = Square frame with side length s

Number of side piece in picture frame = 4

Given that the length L > the width W, we have

Side length of wooden frame = L

Also, where the side piece are placed side by side, we have;

Side length of wooden frame = 4 × W

Therefore;

4 × W = L

Which gives

L + W = 12 inches

4 × W + W = 12 inches

W×(4 + 1) = 5·W = 12 inches

W = 12/5 = 2.4 inches

L = 4 × W = 4 × 12/5

L = 48/5 = 9.6 inches  Side length of wooden frame, s

The perimeter of the picture frame = 4 × s = 4 × 9.6 = 38.4 in.

The area of the picture frame = s × s = 9.6 × 9.6 = 92.6 in.².

Answer:

5 x 7^0 = 35

or

5 x 7 = 35

Step-by-step explanation:

Plz mark brainliest

Answer:

1. an ordered pair is a pair or numbers in a specific order. It's a set of points.

2. The x-value is always first in an ordered pair, y-value second

3. The distance between the points is 5 units

Step-by-step explanation:

1. For example, (x,y)

2. no explanation needed

3.You can find the distance of two points by using the distance formula [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]. To find the distance between (4,3) and (4,-2), we can plug the points into the distance equation. When solved, we get d=5, so the distance between the two points is 5 units.

hope this helps! please give brainliest!!

An ordered pair is a pair of values. The order in which the values appear is very important, since (x, y) is a whole different thing from (y, x).

The first in an ordered pair is the x-value, since mathematics usually goes by the order of the alphabet: a before b, and x before y.

The distance between two points in a coordinate plane is [tex]d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex], which is the distance formula.

The distance between (4, 3) and (4, -2)...

d = [tex]\sqrt{(4 - 4)^2 + (3 - (-2))^2}[/tex] = [tex]\sqrt{0^2 + 5^2}[/tex] = [tex]\sqrt{5^2}[/tex] = plus or minus 5.

Since distance can't be negative, the distance between the coordinates is 5 units.

Answer:

  (8, 11)

Step-by-step explanation:

The 2-point form of the equation of a line is useful for the one where only points are given.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (3 -1)/(4 -3)(x -3) +1

  y = 2(x -3) +1

We can equate this to the expression for y in the given equation.

  x +3 = 2(x -3) +1

  x +3 = 2x -5 . . . . . . eliminate parentheses

  8 = x . . . . . . . . . . . . add 5-x

Using the given equation, we can find y:

  y = x +3 = 8 +3

  y = 11

The solution to the system is (x, y) = (8, 11).

Answer:

8,11

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y≥-2x-2

put x=0,y=0

0≥-2

which is true.

so (0,0) lies on it.

graph is a solid line.

so B satisfies it.

Answer:

The answer is geometric

Step-by-step explanation:

    To solve this problem you will need to know the difference between an arithmetic and a geometric.

    An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

    A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

    We can see in the sequence that the number that is being multiplied over and over again is 2 so the answer is a geometric sequence.

Answer:

no solution

Step-by-step explanation:

It does not work because you need the area as well as the parrallel sides to find the height.

Answer:

l = 2cosΘ p = see attachment

Step-by-step explanation:

√2+√2+2cos 4Θ

√2+√2(1 + cos 4Θ)

√2 + √2(2 cos² 2Θ)

√2 + √4 cos² 2Θ                      cos 2Θ = 2 cos²Θ - 1

√2 + 2cos 2Θ

√2(1 + cos 2Θ)

√4cos²Θ

2cosΘ

Answer:

Step-by-step explanation:

I'm only going to do the first one, because the tangent problem is going to give us both night mares.

Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).

cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1

2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2

2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4

(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2

sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2

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

sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS

Answer:

The answer is option A.

√48 = 6.93 to the nearest hundredth

Hope this helps you

Answer:

A

Step-by-step explanation:

Answer:

According to the graph, f(−3)=3 and f(9)=-7

-7-3/9-(-3)= −10/12

Therefore the answer is -5/6

From Khan

The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

        [tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

        where : [m] → is slope of line and [c] → is the y - intercept

We have the following function -

f(x) = x³ - 9

The average rate of change would be -

r = {720 - (- 36)}/{9 - (- 3)}

r = 756/12

r = 63

Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

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[ Complete question -

what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]

Answer:

To get the vertex of the parabola we proceed as follows;

y=-7(x-4)^2-5

The above can be written as:

y=-7x^2+56x-117

The values of a,b and c are:

a=-7, b=56 and c=-117

x=-b/(2a)

x=-56/(-7*2)=4

but;

y=-7x^2+56x-117

y=-7(4)^2+56(4)-117

y=-5

Thus;

x=4 and y=-5

The vertex will be at point (4,-5)

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Thanks

The coordinates of the vertex of the parabola is given by V ( 4 , -5 )

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the parabola be represented as f ( x )

Now , f ( x ) = -7 ( x - 4 )² - 5

And , equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Comparing the given equation to the vertex form, we can see that the vertex is at (4, -5), and the coefficient a = -7.

Hence , the coordinates of the vertex are (h, k) = (4, -5)

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Answer:

The answer is option D.

Their angles measures cannot be equal.

Answer:

D

Step-by-step explanation:

Hello,

What the question requires of us is just the property of complimentary angles and which is

The sum of their angles must be equal to 90°.

When two angles combine together to form angle 90°, it is said to be complimentary and they're referred to as a right angled triangle.

From the option, none of the angles can be up to a right angle triangle (90°)

The sum of their angles can be an acute triangle I.e 45°

45° + 45° = 90°

Knowing the fact that the angles can both be an acute angle (45°), it would be wrong to say both angles cannot be equal.

Hence option D is is wrong and it's the right answer in this case

Answer:

you would place the y-intercept at (0,-16).  and then the coordinates would be (-4,0) and (2,0). and the graph would be facing up or positive .

Step-by-step explanation:

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

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

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

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

Answer:

[tex]Area \ of \ Sector = 56.5 \ cm^2[/tex]

Step-by-step explanation:

[tex]Area \ of \ Sector = \frac{1}{2} \ r^2 \theta[/tex]

Where r = 9 cm, θ = 80 degrees

=> Firstly 80 degrees in radians

80° = 1.4 radians

=> Now, The solution:

[tex]Area \ of \ Sector = \frac{1}{2} \ r^2 \theta[/tex]

[tex]Area \ of \ Sector = \frac{1}{2} (9)^2(1.4)\\Area \ of \ Sector = \frac{1}{2} (81)(1.4)\\Area \ of \ Sector = \frac{113.1 }{2}\\[/tex]

[tex]Area \ of \ Sector = 56.5 \ cm^2[/tex]

Answer:

[tex]\boxed{18\pi \: \mathrm{cm^2}}[/tex]

Step-by-step explanation:

Apply formula for area of a sector.

[tex]\pi r^2 \times \frac{\theta }{360}[/tex]

[tex]\theta =80\° \\r=9[/tex]

Plug in the values.

[tex]\pi \times 9^2 \times \frac{80}{360}[/tex]

[tex]\pi \times 81 \times \frac{80}{360}[/tex]

[tex]\pi \times 81 \times \frac{2}{9}[/tex]

[tex]\pi \times 18[/tex]

[tex]18\pi[/tex]

The area of the sector is [tex]18\pi \: \mathrm{cm^2}[/tex].

Answer:

independent events

Step-by-step explanation:

they dont depend on other events anyhow

Answer:

Independent events.

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

In my opinion, I believe the answer is none of the above because

answer A says it has a peak from 10 to 15 km but the graph goes higher than 15 km

answer B says it has a gap from 25 to 30 km but the graph doesn't go that high.

Hope did helps:)

Answer:

B) 3/7

C) $42

Step-by-step explanation:

B) 1-2/7=5/7 remaining.

5/7x3/5=15/35=3/7

C) She spent 2/7 on her mother and 3/7 on her father.  That leaves 2/7 for her sister.  $12 is 2/7 of $42 (12 divided by 2/7)

Answer:

6. b.

7. b.

8. c.

Step-by-step explanation:

6.  The 3  expands  the graph vertically by factor 3; -3 reflects across the y-axis and - 1 moves the graph 1 down.

7.  The 1/2 expands it horizontally by a factor 2, the -1 moves it 1 right and the + 5 moves it  5 up.

8.  The + 3 translates  the graph 3 units up.

Answer:

x + (3 + 6y)

Step-by-step explanation:

This shows that you can regroup the numbers however you want with addition and multiplication, so this is the right answer.

Hope this helps!

Answer:

Step-by-step explanation:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\[/tex]

A(2, -6), B(5, -6),

       [tex]AB =\sqrt{(5-2)^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(5-2)^{2}+(-6+6)^{2}}\\\\=\sqrt{3^{2}+0}\\\\=\sqrt{3^{2}}\\\\=3 units\\[/tex]

B(5,-6) ; C(5,-2)

[tex]BC = \sqrt{(5-5)^{2}+(-2-[-6])^{2}}\\\\ = \sqrt{0+(-2+6)^{2}}\\\\ = \sqrt{4^{2}}\\\\[/tex]

BC = 4 units

C(5, -2) ; D (2,-2)

[tex]CD = \sqrt{(2-5)^{2}+(-2-[-2])^{2}}\\\\ = \sqrt{(-3)^{2}+(-2+2)^{2}}\\\\ = \sqrt{(-3)^{2}}[/tex]

CD = 3 units

A(2,-6) ; D(2,-2)

[tex]AD = \sqrt{(2-2)^{2}+(-2+6)^{2}}\\\\ = \sqrt{0 +(4)^{2}}\\\\ = \sqrt{(4)^{2}}\\[/tex]

= 4 units

Perimeter = AB + BC + CD + AD

                = 3 + 4 + 3 + 4

                 = 14 units

Answer: B

Step-by-step explanation:

In an equilateral triangle, altitudes are also medians.  Thus, the bisect their vertex angles.

Hope it helps <3

Answer:

17

Step-by-step explanation:

f (x) = x+13

Let x = 4

f(4) = 4+13

    = 17

Answer:

[tex]17[/tex]

Step-by-step explanation:

[tex]f(x)=x+13[/tex]

[tex]\mathrm{Plug \: x \: as \: 4 \: and \: evaluate.}[/tex]

[tex]f(4)=4+13[/tex]

[tex]f(4)=17[/tex]

Answer:

1/2

Step-by-step explanation:

Well if b is 7 we plug it into the following equation,

(7 / 14) * (b - 6)

So if b is 7, we do 7-6 which is 1.

Then 7 / 14 which is 1/2.

So 1/2 * 1 is 1/2.

Answer:

1/2 or 0.5 (same thing)

Step-by-step explanation:

If you simplify 7/14, you get 1/2, or 0.5.

Plug in 7 for b. 7-6 is 1, so 1/2 * 1 is 1/2.

Answer:

1/2

Step-by-step explanation:

There are four spots in total in the circle. Two of them are blue. Therefore, the probability of it lading on blue is 2/4, which simplifies to 1/2. Hope this helped.

Answer:

no

Step-by-step explanation:

the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.

Answer:

The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution

The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

Answer:

Step-by-step explanation:

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