Point A, located at (5, -4) is reflected
in the y-axis, resulting in the location of point A'. Which of the following statements
iS true?
•Point A' Is located at (-5,-4)
• Point A' Is located ot (-5,4)
• Point A is located ot (4,5)
• Point A' Is located at (-4,5)

The number of ways that a cook can arrange 8 of 12 spice jars on a spice rack is; 495 ways.

We want to find the number of ways that a cook can arrange 8 of 12 spice jars on a spice rack.

This is a Combination Problem which follows the formula;

nCr = n!/(r!(n - r)!

12C8 = 12!/(8!(12 - 8)!

Solving this gives;

12C8 = 495 ways

Thus, the number of ways that a cook can arrange 8 of 12 spice jars on a spice rack is 495 ways.

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Answer:

The correct answer is: 19,958,400.

Step-by-step explanation:

I hope this helps! :)

Answer:

Formula for arc length is;

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

Step-by-step explanation:

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

[tex]\frac{210}{360}*2\pi *11yd[/tex]

so arc length is;

[tex]\frac{77\pi }{6}yd[/tex]

Answer:

Step-by-step explanation:

15/2 = 7.5 and (7.5)^2 = 56.25  so

x^2 + 15x + 56.25 = 49 + 56.25

x^2 + 15x + 56.25 = 105.25.

Answer:

[tex]x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

[tex]x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

Step-by-step explanation:

General form of a quadratic equation: [tex]ax^2+bx+c[/tex]

When completing the square, first add the number that is the square of half of [tex]b[/tex].

Given equation:  [tex]x^2+15x=49[/tex]

Therefore, [tex]b=15[/tex]

[tex]\implies \left(\dfrac{b}{2}\right)^2=\left(\dfrac{15}{2}\right)^2=\dfrac{225}{4}[/tex]

So we need to add 225/4 to both sides of the equation:

[tex]\implies x^2+15x+\dfrac{225}{4}=49+\dfrac{225}{4}[/tex]

[tex]\implies x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

In decimal form:

[tex]\implies x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

To finish completing the square,

factor the left side of the equation:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2=\dfrac{421}{4}[/tex]

Finally, subtract 421/4 from both sides:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2-\dfrac{421}{4}=0[/tex]

In decimal form:

[tex]\implies (x+7.5)^2-105.25=0[/tex]

Answer:

180 students speak English

Step-by-step explanation:

320÷16=20

20×9=180

Answer:

the icreace is 9.88

Step-by-step explanation:

Answer:

Say your own opinion about your feelings on it

Answer:  This is an opion question you could just say how you feel about disney but if you dont know what to say I will tell you in the explanation.

Step-by-step explanation: Im happy that disney is taking over the franchise it is now very succesfull and i'll tell you what I like about it.

5) It is an escape from reality.

4) It is growing up with us.

3) It makes us happy.

2) It brings us back to our childhood.

1) We can share it with our families/friends.

There is also many more but these are my main.

Answer: It should be this exactly: (x+4)(x-3)=0

Step-by-step explanation:

Answer:

4th option

Step-by-step explanation:

Bring the negative radical on the left to the other side to make it positive.

Square both sides.

Answer:

54

Step-by-step explanation:

If 5 students went in cars then 216 students were in the buses (221-5=216)

There were four buses so divide 216 by 5 which is 54.

So there were 54 students in each bus

Answer:

54

Step-by-step explanation:

If you have 221 students going to the zoo and 5 that went to the zoo in cars you only need to account for the 216 travelling by bus. So you subtract 5 from 221 and divide what you have left over (216) by 4 for the 4 buses you're using.

216/4= 54

Your answer is 2 hours and 40 minutes

Answer:

it would take about 4 days to complete

Answer:

the perimeter is the distance around a surface. so it's 4+4+8+5+1 = 22 m = C

Answer:

Option C, 22m

Step-by-step explanation:

Step 1:  Determine the perimeter

Finding the perimeter means that we need to add up all of the sides into one number which will give us the total length of the entire item.

4m + 4m + 8m + 5m + 1m

22m

Answer: Option C, 22m

Answer:

J (−3, 5) → J ′(−7, 12) → J ″(−7, −12);

K (−1, 0) → K ′(−5, 7)→ K ″(−5, −7);

L (8, −4)→ L ′(4, 3)→ L ″(4, −3)

Step-by-step explantion

Use the translation vector <−4, 7>  to determine the rule for translation of the coordinates: (x,y)→(x+(−4),y+7).

Apply the rule to translate vertices J(−3,5), K(−1,0) and L(8,−4).

J(−3,5)→(−3+(−4),5+7)→J'(−7,12).

K(−1,0)→(−1+(−4),0+7)→K'(−5,7).

L(8,−4)→(8+(−4),−4+7)→L'(4,3).

To apply the reflection across x-axis use the rule for reflection: (x,y)→(x,−y).

Apply the reflection rule to the vertices of △J'K'L'.

J'(−7, 12)→J''(−7,−12).

K'(−5,7)→K''(−5,−7).

L'(4,3)→L''(4,−3).

Therefore,

J(−3,5)→J'(−7,12)→J''(−7,−12)K(−1,0)→K'(−5,7)→K''(−5,−7)

L(8,−4)→L'(4, 3)→L''(4,−3)

represents the translation of △JKL along vector <−4, 7>  and its reflection across the x-axis.

Answer:

[tex]y=-5(x+2)-1[/tex]

[tex]y=-5(x+3)+4[/tex]

Step-by-step explanation:

Two points on the line are (-3, 4) and (-2, -1)

Therefore:

[tex]\textsf{let}\:(x_1,y_1)=(-3,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-2,-1)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-4}{-2-(-3)}=-5[/tex]

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

Substituting point (-3, 4) in the point-slope equation:

[tex]\implies y-4=-5(x-(-3))[/tex]

[tex]\implies y=-5(x+3)+4[/tex]

Substituting point (-2, -1) in the point-slope equation:

[tex]\implies y-(-1)=-5(x-(-2))[/tex]

[tex]\implies y=-5(x+2)-1[/tex]

The measure of angle BOC is 28.65°.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

The area of a triangle is,

Area = 1/2 × base × height

We have radius of the circle is 12 inches since OA = 12 which is the radius.

So, OB = 12 inches.

Height of the triangle AOB to the base OA = 12 sin (30°) = 12/2 = 6 inches

Area of ΔAOB = 1/2 × 12 × 6 = 36 inches²

Area of sector = (x/360°) πr², where r is the radius and x is the central angle formed.

Here x is ∠BOC.

Since area of sector = area of triangle,

(x/360°) π(12)² = 36

x π = 90°

x = 28.65°

Hence the required measure is 28.65°.

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Answer:

Step-by-step explanation:

the diagonal is the hypotenuse of a 45-45-right triangle

the two legs are the same measure so the Pythagoreant theorem

2x²=24     divide by 2

x² = 12      square root

[tex]x = \sqrt{12} \\ \sqrt{4x3} \\2\sqrt{3}[/tex]

1:24 since this was asked a min ago

Answer:

it is an regular polygon

Answer:

a) x-intercept is x=-4

Step-by-step explanation:

From y=log(x-h)+k, h is the value of transitioning between left or right.

Since x+4 makes it x-(-4) means x=-4

Answer:

A = 24

Step-by-step explanation:

L * w = A

12 * 2 = 24

A = 24

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

the cans of food are 448 in number

Answer:

448

Step-by-step explanation:

Let's assume the final answer is x

128 ÷ x +3 ÷ 7 =  5 ÷ 7

x = 448

Answer:

18

Step-by-step explanation:

double both numbers and add them together and thats how you find the answer to a rectangle

Answer:

x=3

Step-by-step explanation:

....................

Answer:

x=3

Step-by-step explanation:

i did the edg test

Answer:

p = [tex]-\frac{15}{2}[/tex], p = [tex]\frac{17}{2}[/tex]

Step-by-step explanation:

1. Subtract 15 from both sides:

- |2p -1| = -16

2. Divide both sides by -1:

[tex]\frac{-|2p - 1|}{-1} = \frac{-16}{-1}[/tex]

|2p - 1| = 16

3. Apply the absolute value rule (If |u| = a, a > 0, then u = a, or u = -a)

2p - 1 = 16  or  2p - 1 = -16

4. Solve for the positive and negative intervals:

2p - 1+1 = 16+1

2p = 17

[tex]\frac{2p}{2} = \frac{17}{2}[/tex]

p = [tex]\frac{17}{2}[/tex]

2p - 1+1 = -16+1

2p = -15

[tex]\frac{2p}{2} = \frac{-15}{2}[/tex]

p = [tex]\frac{-15}{2}[/tex]

hope this helps!

Answer:

the amount of profit when there are 0 visitors

Answer:

binomial

Step-by-step explanation:

There are 2 variables.

One is 6x⁻³ the other is 3x.

Step-by-step explanation:

[tex] \frac{2}{3} v + \frac{1}{6} = \frac{7}{9}v - \frac{5}{6} [/tex]

[tex] \frac{1}{6} + \frac{5}{6} = \frac{7}{9} v - \frac{2}{3} v[/tex]

[tex] \frac{6}{6} = ( \frac{7}{9} \times \frac{2}{3} )v[/tex]

[tex]1 = ( \frac{7}{9} - \frac{2 \times 3}{3 \times 3} )v[/tex]

[tex]1 = ( \frac{7}{9} - \frac{6}{9} )v[/tex]

[tex]1 = ( \frac{7 - 6}{9} )v[/tex]

[tex]1 = ( \frac{1}{9} )v[/tex]

[tex]v = 9[/tex]

I hope it helped you

Answer:

The correct answer is v=9

Step-by-step explanation:

The picture is attached.

Hope it helps you buddy!!!!!!

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Answer:

10, if you make both shots;

3, if you make just the money ball

7, if you make just the regular ball

Step-by-step explanation: