Which relation is a function?
O A. {(7, 8)(5,0)(-3, 1)(-5, 0)(-3, 2)}
B. {(0, 0)(1, 1)(4, 2)(9, 3)(16,4)}
O C. {(-4, 1)(-2, 2.5)(0, 4)(-4, -1)(-2, -2.5)}
OD. {(1, 0)(2, 1)(3, 2)(1, 3)(2, 4)}

Answer:

[tex]\sqrt[6]{2\\}[/tex]

Step-by-step explanation:

Rewriting

2 ^1/2 ÷ 2 ^ 1/3

We know a^ b ÷ a^c = a^ (b-c)

2 ^ (1/2 -1/3)

Getting a common denominator

2^ ( 3/6 - 2/6)

2^ 1/6

[tex]\sqrt[6]{2\\}[/tex]

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:

[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]

Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:

[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]

We just need to subtract 1/3 from 1/2 to get:

[tex]2^{\frac{1}{6} }[/tex]

This is the same as the 6th root of 2, which is the second option.

Answer:

52.24 km

Step-by-step explanation:

Given that,

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.

d = ks²

Where

k is constant

When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?

So,

[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]

So, the new distance is 52.24 km.

Answer:

y  - intercept = - 3

Step-by-step explanation:

The equation of a line is typically written as y=mx + b where m is the slope and b is the y-intercept.

Given :

    y - 7x = - 3

    y = 7x - 3               [ convert to standard line equation form ]

Therefore , y  - intercept = - 3

Answer:

-3

This is the y intercept because when you re-arrange the equation to form y=mx+c, the y-intercept( c) is -3.

Answer:

A. (x + 2)²(x - 2)²

Step-by-step explanation:

x⁴ - 8x² + 16 =

(x² - 4)(x² - 4) =

(x - 2)(x + 2)(x - 2)(x + 2) =

(x - 2)²(x + 2)²

Answer:

80 mm

Step-by-step explanation:

1/p + 1/20 = 1/16

Subtract 1/20 from both sides

1/p = 1/16 - 1/20

Use 160 as common denominator

1/p = 10/160 - 8/160

1/p = 2/160

1/p = 1/80

Cross multiply

80 = p

80 mm

Answer:

Is that it's not about the answers and the questions

Answer:

Break-even point is at quantity 220.

Step-by-step explanation:

Given the rent amount that is fixed cost for the store = $550

The average cost of the goods = $3

The average price of the goods = $5.50

Let the total number of break-even items = Q

Thus, total revenue = 5.50 x Q = 5.50Q

At break-even, TR = TC

5.50Q = FC + VC

5.50Q = 550 + 3Q

5.50Q - 3Q = 550

2.50Q = 550

Q = 550 / 2.50

Q = 220

Thus break-even point is at quantity 220.

I think c because from what remember taking this test

Answer:

1/4 he

Step-by-step explanation:

Answer:

1/4 hour

Step-by-step explanation:

convert 2 km to m

1 km = 1000m

2 km = 2*1000 m

=2000 m

distance                                                            time taken

2000 m                                                                   1 hour

500 m                                                                          let be x

2000/500 = 1/x

do cross multiplication

500*1 = 2000*x

500/2000 = x

1/4 = x

Answer:

You did give anything to solve

Step-by-step explanation:

x⁶ is just a single term

If you had posted an equation like

x⁶ = 64

Take the cube root of both side

x² = 4

Take the square root of both sides

x = ± 2

Answer:

the answer would be -1339/24

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]

∴ (-x + 2)³ = 0

x = 2

[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

Answer:

61.6 dollars

Step-by-step explanation:

So, lets go over what we know:

The shows orginally cost 88 dollars.

They are 30% less than that.

This basically means that the shoes will cost 70 percent of their orginal price.

We can basically find the new cost by multiplying the 88 dollars by the 70 percent.

Or, multiplying 88 by 0.7, which is the decimal form of 70%.

88*0.7=61.6

How did I get this?

Multiply 80 by 0.7:

7*8=56

We have 0.7 so it = 5.6

However, it's tens place is 80, not 8, so it will be = 56

It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8

= 5.6

56+5.6=61.6

So 61.6 is our answer.

Hope this helps!

Answer:

$61.60

Step-by-step explanation:

the other answer is correct.

just to add some explanation about the % considerations.

we know $88 is 100%

in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).

so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.

70% = (100% / 100) × 70 = 100% × 70 / 100

70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)

70% = 100% × 0.7

70% = $88 × 0.7 = $61.60

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term and [tex]q[/tex] is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

[tex]q = 0.7, a_1 = 25*0.7 = 17.5[/tex]

Then

[tex]a_n = a_1q^{n-1}[/tex]

[tex]a_n = 17.5(0.7)^{n-1}[/tex]

First 5 terms:

[tex]a_1 = 17.5[/tex]

[tex]a_2 = 17.5(0.7)^{2-1} = 12.25[/tex]

[tex]a_3 = 17.5(0.7)^{3-1} = 8.58[/tex]

[tex]a_4 = 17.5(0.7)^{4-1} = 6[/tex]

[tex]a_5 = 17.5(0.7)^{5-1} = 4.2[/tex]

Find the total distance the ball has travelled after it hits the ground the 5th time.

[tex]T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53[/tex]

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Answer:

A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.

Step-by-step explanation:

The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).

Answer:

58 Minute

Step-by-step explanation:

According to the Question,

Therefore, he climbs (3-2)1 Foot in 1 minute. Now at 57minute, he scales 57feet.

Thus 57 feet + 3 feet = 60feet( Reached the Top of the tree Now he Never Fall again)

Answer:

7

Step-by-step explanation:

There are 14 birds sitting on the wall

One half of the birds are black

Therefore the number of black birds can be calculated as follows

= 14×1/2

= 14×0.5

= 7

Hence 7 birds are black

distance= rate * time

distance/rate=time

(2.4 *10^20)/ (1.2*10^5)  = 2 * 10^15 seconds

Answer:

[tex] - i[/tex]

Step-by-step explanation:

Set up equation.

[tex]i {}^{3} = y[/tex]

[tex] {i}^{2 } \times i = y[/tex]

[tex] - 1 \times i = y[/tex]

[tex] - i = y[/tex]

Answer:

Step-by-step explanation:

Answer:

$425.6 should be budgeted for weekly repairs and maintenance.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean $400 and standard deviation $20.

This means that [tex]\mu = 400, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 400}{20}[/tex]

[tex]X - 400 = 20*1.28[/tex]

[tex]X = 425.6[/tex]

$425.6 should be budgeted for weekly repairs and maintenance.

Answer: 33/3

Step-by-step explanation:

I don't know the question is weird but it probably is 33/3

Answer:

6/10

Step-by-step explanation:

Look at is a whole. Half the plants are flowers, and just a few are bushes. That leaves other plants that are neither.

We can find a total amount of plants that are either flowers or bushes by combining the two.

Because 1/2 and 1/10 are not currently combinable, you must find a common denominator. This common denominator is 10. If you multiply 2 by 5, you'll get 10.

[tex]\frac{1}{2} +\frac{1}{10}[/tex]

[tex]\frac{5}{1} (\frac{1}{2} )+\frac{1}{10}[/tex]

[tex]\frac{5}{10} +\frac{1}{10}[/tex]

[tex]\frac{6}{10}[/tex]

This means that 6/10 of the whole number of plants are either flowers or bushes. You could also say it means that 4/10 of the plants are something other than flowers or bushes.

I hope this helped :)

Answer: yuh Step-by-step explanation: yuh

Answer:

11/8, 7/4, 8/2

someone reported me

Answer:

[tex]y = 36 - \frac{3}{4}x[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]h = 36in[/tex] --- height of rails

The rate of decrement is: 9 [tex]inches[/tex] for [tex]every[/tex] 12 [tex]horizontal[/tex] [tex]inches.[/tex]

Required

The function

First, we represent the rate (r) as a fraction.

[tex]r = -\frac{9}{12}[/tex] ---- negative, because it decreases

Simplify

[tex]r = -\frac{3}{4}[/tex]

So, the function is:

[tex]y = h + r * x[/tex]

Where:

[tex]x \to[/tex] distance from top

So, we have:

[tex]y = 36 - \frac{3}{4}x[/tex]

Answer:

LNM are quations the answer

Step-by-step explanation:

L=5x3 5,8 M=9x8x3+40-9 N=23-90)+90

Answer:

x = 15

Step-by-step explanation:

The two angles add to a straight line, so they add to 180

6x-5 + 6x+5 = 180

Combine like terms

12x = 180

Divide by 12

12x/12 =180/12

x =15

Answer:

x = 15

Step-by-step explanation:

Two angles are supplementary and their sum is 180

6x + 5 + 6x - 5 = 180 add like terms

12x = 180 divide both sides by 12

x = 15

Step-by-step explanation:

22+22=44

Es una pregunta fácil, incluso un niño pequeño puede responder a esto.