Median of 48, 52, 32, 48, 34, 48, 47, 52, 52

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:

The distance between the lighthouse and the boat is: 164.91 meters

Step-by-step explanation:

Please look at the attached image to follow the triangular diagram generated with the info provided.

Notice that we can create a right angle triangle with the information presented in the problem. The height of the lighthouse (70 m) is the side opposite to a 23 degree angle. And what we need to find is the other side "D" perpendicular to the lighthouse, which stands for the horizontal distance between the lighthouse and the boat.

Since the sides involved are the opposite and the adjacent sides to the 23 degree angle, we use the tangent function to solve it:

\(tan(23^o)=\frac{opp}{adj} \\tan(23^o)=\frac{70}{D}\\D=\frac{70}{tan(23^o)} \\D= 164.91\,\,m\)

Answer:

V≈752.25ft

Step-by-step explanation:

please mark me brain list

Answer: the volume of the sphere would be precicely be 752.25278

Step-by-step explanation: yeah, i guess this is just a run and search kind of question, the formula to find it was:

A=4πr2

V=4

3πr3

Solving forV

V=A3/2

6π=4003/2

6·π≈752.25278

Answer:

(0.5, -1)

Step-by-step explanation:

The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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Answer:

A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient

in Equation II.

Step-by-step explanation:

4 is a multiple of 2. Therefore, the answer would be A.

The equation that could be used to represent the context if a represents the cost of labor per hour is a = 481/3.25.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given,  The technician at the store worked on the computer for 3.25 hours and charged him $78 for parts and the total was $484.25.

Therefore, The equation representing the context is,

3.25a + 78 = 484.25.

3.25a = 484.25 - 3.25.

3.25a = 481.

a = 481/3.25.

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Answer: 125

Step-by-step explanation:

Answer:

4.8 because it's a bigger than the other three numbers

4.02

3.95

3.41

Answer:

Step-by-step explanation:

D:(-1,3)

R:(-1,4)

Answer:The particles in a solid are tightly packed and locked in place. Although we cannot see it or feel it, the particles are moving = vibrating in place.

Answer:

the movement of particles within a solid is normally slower, do to the particles being tighter together than the other classifications.

Answer:

Step-by-step explanation:

→ y² -16y +64

→ y²-8y-8y+64

→ y(y-8) -8(y-8)

→ (y-8) (y-8)

Answer:

(x+2.3)^2 + y^2=36/49

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

Answer: 103 degrees

Step-by-step explanation:

51 + 26 = 77

A triangle adds up to 180 degrees

180 - 77 = 103

= 103 degrees

number one and  four

Answer:

the length of IJ is 7.2 units.

Step-by-step explanation:

Since IJ is parallel to LM, we can use the property of similar triangles to solve for IJ.

Triangles KIJ and KLM are similar, so we have:

IJ/KL = KI/LM

Substituting the given values, we get:

IJ/8 = 18/20

IJ/8 = 9/10

Multiplying both sides by 8, we get:

IJ = (8)(9/10)

IJ = 7.2

Therefore, the length of IJ is 7.2 units.

Answer:

(3, -2) is the correct choice.

Answer:

1.89

Step-by-step explanation:

The approximate half life of the substance is 1.90 hours.

Half life of any quantity implies the time at which its value becomes half of the initial value. To calculate it consider an exponentially decaying function which has a decay factor that is the rate of decaying. Then, the half life is calulted as the ratio of ㏒(2) to the decay factor.

Given that,

The initial amount of  radioactive substance is 15 grams.

And, after 3 hours the final amount is 5 grams.

The given problem can be written in the form of exponential decay as,

N = N₀e^(-at)

Where N₀ and N are the initial and final values and a is the decay constant.

Substitute the corresponding values in the above equation to get,

5 = 15e^(-3a)

=> e^(-3a) = 1/3

=> 3a = ln(3)

=> a = ln(3)/3

       = 0.366

Since, the half life is evaluated as 0.693/a.

The half life for the given case is 0.693/0.366 = 1.90

Hence, the half life of the given radioactive substance is 1.90 hours.

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Answer:

just substitute x for 5 and then solve and then substitute x for -1 and solve and subtract the two answers you get

Answer:

percentage profit = 150%

Step-by-step explanation:

percentage profit = sp - cp/cp * 100

sp is the selling price = 60000

cp is the cost price = 24000

percentage profit = 60000-24000/24000 * 100

percentage profit = 36000/24000 * 100

percentage profit = 36000/240

percentage profit = 150%

Answer:

C. \( y = -\frac{1}{2}x - \frac{7}{2} \)

Step-by-step explanation:

We can get the equation in slope-intercept form if we know the slope (m) and the y-intercept (b).

Since the line is parallel to -2x + 4y = 8, it will have the same slope as the equation.

Converting -2x + 4y = 8 into the slope-intercept form, we would have:

4y = -2x + 8

y = -2x/4 + 8/4

y = -½x + 2

Theregore, slope, m, of the line that is parallel bro 4y = -2x + 8 is -½.

To find the y-intercept, b, substitute (x, y) = (-5, -1) and m = -½ in y = mx + b.

Thus:

-1 = (-½)(-5) + b

-1 = ⁵/2 + b

-1 - ⁵/2 = b

(-2 - 5)/2 = b

-⁷/2 = b

b = -⁷/2

To get the equation of the line, substitute b = -⁷/2, and m = -½ in y = mx + b.

The equation would be:

\( y = -\frac{1}{2}x - \frac{7}{2} \)

Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

ok..I think it Is C or B! not 100% sure tho..

Answer:

\(\textsf{A.} \quad f(x)=\dfrac{1}{x-4}\)

Step-by-step explanation:

An asymptote is a line that the curve gets infinitely close to, but never touches.

A vertical asymptote occurs when the denominator of a rational function is zero.

From inspection of the given graph, there is a vertical asymptote at \(x=4\) .  

Therefore, the denominator of the rational function must equal zero when \(x=4\) .

Therefore, the only solution where the denominator is zero when \(x=4\) is:

\(\boxed{f(x)=\dfrac{1}{x-4}}\)

That's not a function.

Since a vertical line hits the graph more than once, if fails the test. (See graph below)

If it is a function, any vertical line you draw can only hit the graph once.

Answer:

3. a. 10:35= 2:7

b.35:45=7:9

c.40:50=4:5