Find the missing side. Leave your answer in simplest radical form.

The second and fifth term for the given sequence are 6 and 48 respectively and a₆ > 50.

An inequality expression refers to the relation between an algebraic expression to some known value that contains inequality sign. Unlike an equation it can have a range of values inside an interval.

The given problem can be solved as,

(a) The nth term of the sequence is given as aₙ = 3n²/2

Then, substitute n = 2 to get second term as below,

a₂ = (3 × 2²)/2 = 6

(b) The fifth term is obtained as,

a₅ = (3 × 2⁵)/2  = 48.

(c) The inequality expression for the given case can be written as,

3n²/2 > 50

⇒ 3n² > 100

⇒ n² > 33.33

This is possible only for n = 6.

Hence, the second and fifth terms are 6 and 48 respectively. And, the 6th term will be the first to be greater than 50.

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Answer: b) rotation of 180°, reflection across y-axis

Step-by-step explanation:

The black triangle is in Quadrant IV.

A rotation of 180° will move it to Quadrant II.

The red triangle is in Quadrant I so  you must reflect it across the y-axis.

Answer:

142

Step-by-step explanation:

5*(x+60)+2*x=1294

5x+5*60+2x=1294

7x+300=1294

-300       -300

        7x=994

x=994:7

x=142

142

Step-by-step explanation:

5(60+x) +2(x) = 1294

300+5x+2x= 1294

7x= 994

X= 142

Answer:

The one that says: One solution: (-1,1)

Step-by-step explanation:

y=2x-1

3=-1/3x+4/3

7 multiply by three u get 21 then add it to the number 28 add u get the answer 49

Answer:

Given below hope it helps!

Step-by-step explanation:

The steps for changing from plural to singular are:

If there is an (s) after the word remove

If there is an ies after the word remove and add y

If there is ves remove and add f or fe

However there are a few exceptions and I will point it out in the answer:-

1) body

2) joy

3) loaf

4) coolie

(In this cooly won't make sense so we just remove the s)

5) key

6) bush

7) sheep

(The singular of sheep is also sheep)

8) watch

9) storey

10) ray

11) foot

(The singular is foot because no other rule applies to this word, this is an exception)

12) wife

13) child

(This is an exception too where we remove ren)

14) lily

15) fairy

Answer:

8 miles OR 8.0 miles

Step-by-step explanation:

If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .

Answer:

Nope

Step-by-step explanation:

Please we are not here to joke.find some where else to do such but not here

Answer:

Meh

Step-by-step explanation:

Answer: NEGATIVELY SKEWED

Step-by-step explanation: I just took the assignment ;)

Answer:

A. B. A.

Step-by-step explanation:

negatively skewed

less than the median

greater than the median

Answer:

child: 14

Adult : 2

Step-by-step explanation:

2A + 3C = 46------------eqn 1

3A + 5C = 76------------eqn 2

eqn 1 x 3 : 6A + 9C = 138----------- eqn 3

eqn 2 x 2: 6A + 10C = 152-----------eqn 4

eqn 4 - eqn 3: 1OC - 9C = 152 - 138

1C = 14

subst 1C = 14 into eqn 1

2A + 3(14) = 46

2A = 46 - 42

2A = 4

1A = 2

Answer:

B

Step-by-step explanation:

When a polynomial is in standard form, it is arranged in the order of largest power first, followed by the next largest, and then so on. The only polynomial here that follows this rule is the second one, or choice B. Hope this helps!

Answer:

shawty a lil baddie

Step-by-step explanation:

i like ur mom bro

The percentage of salad bars offered to customers in 1998 is; 70%.

The percentage refers to the value of a variable contained in a whole number.

The percentage is the ratio that a variable is contained in another.

Percentages, which are over 100, are depicted using the percentage sign (%).

Data and Calculations:

We are Given that Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .

7/10 salad bars were offered to customers,

The conversion to percentage = 70% (7/10 x 100)

Thus, the percentage of salad bars offered to customers in 1998 would be equal to 70%.

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Answer:

slope = 3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

= (8-2)(4-2)

= 6/2

= 3

Answer:

If those are 2 points on the line, then the slope is 3.

Step-by-step explanation:

slope is rise over run.  (8-2)/(4-2) = 6/2 = 3

Answer:

1/3

is the answer

please mark me as a brainliest

Answer:

B. 6x²-6x

Step-by-step explanation:

If the sum of two binomials is 9x²-4x, and we know that one of them is 3x²-2x, we must subtract 3x²-2x from 9x²-4x to find the second binomial.

9x²-4x-3x²-2x

Combine like terms

6x²-6x

Answer:

I'll email it to you

Answer:

12

Step-by-step explanation:

1 - 1/4 = 3/4 (remaining animals which are cats and ferrets)

1 - 8/9 = 1/9 (means 1/9 of the remaining animals are ferrets)

1/9 x 3/4 = 1/12 (means 1/12 of the animals are ferrets)

1/12 x 144 = 12 ferrets

Answer:

A

Step-by-step explanation:

1st graph is the same for all choices.

3d graph is horizontal line y=50 or C(x) = 50.

It is A or B choices.

We have white circle , that means value of x is not included x > 6.

It is A.

We can check the 2d line. By continuing line we can see that y -int = 10, and we can see slope= rise/run = 5. Also, 2<x≤ 6.

Answer:

It's the first option.

Step-by-step explanation:

Note that the filled circles means that the value is included in the inequality  and the clear circle means it is not.

For the first 2 Gb  ( 0 to 2 inclusive) used,  the cost is $15.

Then for x > 2 up to and including x = 6 ( that is 6 Gb used)  it rises at a rate of 5 dollars per Gb + $10,  so its 5x + 10 for 2 < x <= 6.

Then the cost stays at $50.

Answer:

The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30

Step-by-step explanation:

Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).

To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.

Substituting 2 to the first expression gives:

-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18

Substituting 2 to the second expression gives:

-12(2) - 6 = -24 - 6 = -30

Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.

The correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18

Equations are written by equating two expressions

Given the following equation -3x(5-4)+3(x-6)

Expand

-15x + 12 + 3x - 18

Collect the like terms

-15x + 3x + 12 - 18

-12x - 6

Hence the correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18

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Answer:

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\1)7^{-2}=(\frac{1}{7})^{2}\\\\\\2)(\frac{2}{3})^{-3}=(\frac{1}{\frac{2}{3}})^{3}\\\\=(\frac{3}{2})^{3}[/tex]

Answer:

1) D.

2) A

Step-by-step Explanation:

1) [tex]7^{-2}[/tex]

= [tex](\frac{1}{7})^2[/tex]

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

= [tex](\frac{3}{2})^{3}[/tex]

Answer:

54cm³

Step-by-step explanation:

V=0.5*b*h

b = 3*9 = 27cm²

h=4cm

V=0.5*4*27=54cm³

Answer:

The satisfied table of the given function[tex]y = log_{b} (x)[/tex]

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

Step-by-step explanation:

Explanation :-

Given logarithmic function [tex]y = log_{b} (x)[/tex]   if b >1

Given first table

i)

put x = [tex]\frac{1}{8}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{8} )[/tex]

[tex]y = log_{2} (2^{-3} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3[/tex]

y = -3

ii)

put x = [tex]\frac{1}{4}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{4} )[/tex]

[tex]y = log_{2} (2^{-2} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2[/tex]

y = -2

iii)

put x = [tex]\frac{1}{2}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{2} )[/tex]

[tex]y = log_{2} (2^{-1} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1[/tex]

y = -1

iv)

put x = 1     given b > 1 so we can choose b = 2

[tex]y = log_{2} (1 )[/tex] = 0

y = 0

v)

put x = [tex]2[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (2 )[/tex]

y = 1

Final answer:-

The satisfied table of the given function

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

The first option is correct because that table of values represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Given:

The lograrithmic function form is [tex]y=\log_b x,b>1[/tex].

To find:

The table of values that represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Explanation:

It is given that [tex]b>1[/tex]. Let [tex]b=2[/tex], then

[tex]y=\log_2 x[/tex]          ...(i)

Substitute [tex]x=\dfrac{1}{8}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{8}[/tex]

[tex]y=\log_2 \dfrac{1}{2^3}[/tex]

[tex]y=\log_2 2^{-3}[/tex]

[tex]y=-3[/tex]

Substitute [tex]x=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{4}[/tex]

[tex]y=\log_2 \dfrac{1}{2^2}[/tex]

[tex]y=\log_2 2^{-2}[/tex]

[tex]y=-2[/tex]

Substitute [tex]x=\dfrac{1}{2}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{2}[/tex]

[tex]y=\log_2 2^{-1}[/tex]

[tex]y=-1[/tex]

Substitute [tex]x=1[/tex] in (i), we get

[tex]y=\log_2 1[/tex]

[tex]y=0[/tex]

Substitute [tex]x=2[/tex] in (i), we get

[tex]y=\log_2 2[/tex]

[tex]y=1[/tex]

The table of values is:

[tex]x[/tex]     [tex]y[/tex]

[tex]\dfrac{1}{8}[/tex]     [tex]-3[/tex]

[tex]\dfrac{1}{4}[/tex]     [tex]-2[/tex]

[tex]\dfrac{1}{2}[/tex]     [tex]-1[/tex]

[tex]1[/tex]     [tex]0[/tex]

[tex]2[/tex]     [tex]1[/tex]

Therefore, the first option is correct.

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Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Answer: 225°

Step-by-step explanation:

Each rotation is 45°

From C to H, there are five rotations

5 * 45 = 225°

Answer:

D: 225 degrees

Step-by-step explanation:

You want to first find the value of each angle that comes in together at point P. To do this, you take 360 degrees/8 degrees. 360 since that is a central angle and 8 because there are 8 congruent angles that make up the central angle. You should get 45 degrees. Then since it takes 5 "45 degree turns" to get onto H, you would do 5 times 45 to get 225.

Answer:

an Altitude

Step-by-step explanation:

Its altitude indicated by point A to line BC

Answer:

Im pretty sure that would be an altitude

Step-by-step explanation:

Answer:

C is correct

Step-by-step explanation:

6x^7+12x^6+3x^5

Answer:

Answer:

C is correct

Step-by-step explanation:

6x^7+12x^6+3x^5

Answer: 43.5

Step-by-step explanation:

185/425

divide them, you should get 0.435

move it to the left 2 times and thats your answer