Find the equation of the perpendicular line, to the line: y=2x+4

Step-by-step explanation:

Given the five summary of a data set:

45 - min

52 - Q1

56 - Median

61 - Q3

69- Max

Thus, any number less than Q1-(1.5×IQR)

, or any number that is greater than

Q3+ (1.5 × IQR) would be considered an outlier.

The IQR of the data set = Q3 - Q1 = 61-

52 = 9

Thus,

Q1- (1.5 × IQR) =52- (1.5* 9) = 52 - 13.5=38.5

Therefore, an observation is considered

an outlier if it is below: 38.5

Q3 + (1.5 * 1QR) = 61 + (1.5 * 9) =61+13.5 =74.5

Therefore, an observation is considered

an outlier if it is above: 74.5

Answer:

I think it would be 1,000,000.

Step-by-step explanation:

Let's begin with a correction: the verb in question is TO BREATHE; one instance of doing so is the noun BREATH.

12 times per minute; 60 minutes per hour; 24 hours per day; multiplying all of these gives some number of breaths per day.  I'm going to call it B (you can calculate it).

Answer:

Step-by-step explanation:

12 / min

720 / hr

17,280 / day

6,307,200 / yr

Now divide 1,000,000,000 by 6,307,200 and you get 158 years

The missing reason is reflexive property.

Therefore, the correct option is D.

A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle.

Given that a triangle PHT is a right triangle and Line HY is an altitude.

According to the reflexive property, a side or an angle is congruent to itself.

If A is an angle of a triangle, then using reflexive property.

∠A ≅ ∠A

∠PHT ≅ ∠HYT (Both are right angles)

∠T ≅ ∠T (Reflexive property)

ΔPHT ~ ΔHYT (AA rule of similarity)

Other statements and reasons are already in the table.

Hence the correct option is D.

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Answer:

see attached image

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard algorithm is a way of doing multiplication by using partial products or multiplying in parts. What you do with this algorithm is multiply the top number by the bottom number one digit at a time, working your way from right to left.

Answer:

The area is 40 units

Step-by-step explanation:

Answer:

( 18.4, 4.6 )

Step-by-step explanation:

2x - 6y  = 14

Add 6y to both sides

2x = 6y + 14

divide both sides by 2

             x = (3y + 7)

Substitute this ^ for x in the othe equation

4 (3y + y) - y = 9

distribute the 4

12y + 4y - y = 9

combine like terms

15y = 9

divide both sides by 15

y = 4.6

Now substitute this value for y in the equation we previously substituted .to find the value of x

x = 3 (4.6) + 4.6

x = 13.8 + 4.6

x = 18.4

Hope this makes sense and was helpful!

The length of the half chord is given as 21. The length of the perpendicular drawn from the center to the chord is 20. The radius would be 29 units.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

The length of the half chord is given as 21.

The length of the perpendicular drawn from the center to the chord is 20.

By Pythagoras' Theorem

[tex]|r|^2 = |21|^2 + |20|^2\\\\|r|^2 = 441 + 400\\\\|r|^2 = 841\\\\|r| = \sqrt{841} \\\\r = 29[/tex]

The radius of the circle would be 29 units.

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Answer:

-2/5

Step-by-step explanation:

I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!

Answer:

-2/5

Step-by-step explanation:

+ × - = -

10/5-12/5

apply the fraction rule a/c-b/c =a-b/c

10-12/5

substract 10-12 =-2

-2/5

Answer:

x = 2

Step-by-step explanation:

We can find this by doing the short (and wildly incorrect way, according to teachers) way and input two in.  The way the teachers want you to do it is this way:

3x + 4 = 10

3x + 4 (-4) = 10 (-4)

3x = 6

3x = 6/3

x = 2

2 is your answer.

Answer:

[tex]\mathrm {(x - 8)(x + 8)}[/tex]

had to be corrected. sorry for the inconvenience.

Answer:

(x - 8)(x + 8) will be your answer.

Step-by-step explanation:

Lets do this step by step.

1) Find the GCF of the expression.

2x^2 - 32x - 128 --> 2(x^2 - 16x - 64)

2) Use the X-method to factor.

It gives us the expression 2(x^2 - 8x)(-8x -64).

3) Factor for x.

(x^2 - 8x) --> x(x - 8)

(-8x - 64) --> -8(x + 8)

Our answer is (x - 8)(x + 8)

Step-by-step explanation:

the lateral area of the cone is, well, the lateral area.

the total surface area of the cone is the lateral area plus the area of base circle.

so, the difference between both is the area of the base circle :

120pi - 70pi = 50pi

the area of a circle is

pi×radius²

and that is in our case

pi×radius² = 50pi

radius² = 50

radius = sqrt(50) = 7.071067812... ≈ 7.1 units

therefore, C is the right answer.

Answer:

B I just got that question it was B

Answer:

A

B

C

and

D

Step-by-step explanation:

A

B

C

and

D

Answer:

67.5 ft^3

Step-by-step explanation:

7.5 * 2 * 3.5   +  3 * 2.5 *2   =  67.5 ft^3

Answer:

Step-by-step explanation:

2x +4 = 2x - 5

4 + 5 = 2x - 2x

9 = 0

NO SOLUTION

[tex]\text{Slope-intercept form is y=mx+c, where m is the slope and c is the y-intercept.}\\ \\~~~~~-4x+2y = 16\\\\\implies 2y = 16+4x\\\\\implies y = \dfrac 12(16+4x)\\\\\implies y = 8 + 2x\\\\\implies y=2x +8\\\\\text{It is now in the slope-intercept form.}[/tex]

Answer:

7 = 49 ÷ r

Step-by-step explanation:

To find the equation that is true when r = 7, we need to find a number after the equals sign that is a multiple of 7.

Multiples of 7:  

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77...

Therefore, the only answer option in which the number after the equals sign is a multiple of 7 is:

7 = 49 ÷ r

To prove this, input r = 7 into each of the equations:

   6 = 30 ÷ r

⇒ 6 = 30 ÷ 7

⇒ 6 ≠ 4.285... ← incorrect!

   7 = 54 ÷ r

⇒ 7 = 54 ÷ 7

⇒ 7 ≠ 7.714... ← incorrect!

   7 = 49 ÷ r

⇒ 7 = 49 ÷ 7

⇒ 7 = 7 ← correct!

   9 = 72 ÷ r

⇒ 9 = 72 ÷ 7

⇒ 9 ≠ 10.285... ← incorrect!

well, tis noteworthy that the equation of the parabola above is already in vertex form, which means its vertex is at (3 , 6) and its focus point is at (3 , 1).

now, the focus point is below the vertex, meaning is a vertical parabola opening downwards, like a hump.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]y=-\cfrac{1}{20}(x-3)^2+6\implies y-6=-\cfrac{1}{20}(x-3)^2\implies \stackrel{4p}{-20}(y-\stackrel{k}{6})=(x-\stackrel{h}{3})^2 \\\\\\ 4p=-20\implies p=-\cfrac{20}{4}\implies p=-5[/tex]

the focus point must be a negative distance since the parabola is opening downwards, and the directrix is across the vertex at "p" distance, Check the picture below.

The area of the walkway that is painted with the 12 arrows will be 840 cm². Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

This figure represents an arrow painted on a walkway 12 times.

The figure is given below.

The figure is the combination of a triangle and a rectangle. Then the area of the figure will be

Area = 1/2 x 8 x 5 + 10 x 5

Area = 20 + 50

Area = 70 cm²

Then the area of the walkway that is painted with the 12 arrows will be

Area of the walkway = 70 x 12

Area of the walkway = 840 cm²

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Answer:

2 1/3 longer

Step-by-step explanation:

yw ;)

Answer:

⅓

Step-by-step explanation:

Expression : 3 ⅚ - 3 ½

3 ½ would become 3 3/6.

3 ⅚ - 3 3/6 = 2/6 = 1/3

Answer:

Q = 52.5

Step-by-step explanation:

given P is directly proportional to Q then the equation relating them is

P = kQ ← k is the constant of proportion

to find k use the condition Q = 30 when P = 40 , then

40 = 30k ( divide both sides by 30 )

[tex]\frac{40}{30}[/tex] = [tex]\frac{4}{3}[/tex] = k

P = [tex]\frac{4}{3}[/tex] Q ← equation of proportion

when P = 70 , then

70 = [tex]\frac{4}{3}[/tex] Q ( multiply both sides by 3 to clear the fraction )

210 = 4Q ( divide both sides by 4 )

52.5 = Q

The probability distribution for x will be given below.

x              0              1              2              3

P(x)        0.20       0.30        0.40        0.10

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

In a particular region, for families with a combined income of $80,000 or more, 20% have no children, 30% have one child, 40% have two children, and 10% have three children.

Let x be the number of children per family.

We have to construct a probability distribution for x from the given information.

x = 0, 1, 2, 3

For x = 0, the probability will be

P(x) = 20 / 100 = 0.20

For x = 1, the probability will be

P(x) = 30 / 100 = 0.30

For x = 2, the probability will be

P(x) = 40 / 100 = 0.40

For x = 2, the probability will be

P(x) = 10 / 100 = 0.10

Then the probability distribution for x will be given as

x              0              1              2              3

P(x)        0.20       0.30        0.40        0.10

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Check the picture below.

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{30\cdot sin(24^o)}}{\underset{hypotenuse}{50}}\implies sin^{-1}[sin(\theta )]=sin^{-1}\left[ \cfrac{30\cdot sin(24^o)}{50} \right] \\\\\\ \theta =sin^{-1}\left[ \cfrac{30\cdot sin(24^o)}{50} \right]\implies \theta \approx 14.1^o[/tex]

The value of angle does this replacement ramp make with the horizontal is,

⇒ θ = 14.1°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

A 30-foot ramp is used to move product to a loading dock.

The ramp makes a 24° angle with the horizontal.

And, The ramp is to be replaced with a ramp that is 50 feet long.

Hence, By given figure;

We have;

⇒ sin θ = 30 × sin 24° / 50

⇒ θ = sin ⁻¹ (30 × sin 24° / 50)

⇒ θ = 14.1°

Thus, The value of angle does this replacement ramp make with the horizontal is,

⇒ θ = 14.1°

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The mean and range for class A are 84.4 and 20 while the mean and range for class B are 83.6 and 8. Class B is more consistant then class A.

We can see from the data that the consistency of class B is more becuase the repeatation of the same score is more in class B then class A  and the range of class B is also less then the class A.

It should be noted that mean simply means average. It's the addition of the numbers divided by the total numbers.

In this case, the computation will be:

Class A: Mean = 422/5= 84.4.

Range: 94-74 = 20

Class B: Mean = 418/5 = 83.6.

Range= 88-80 = 8

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