The sum of the first 30 terms of (the sequence is a^n = 6n+5

Answer:

[tex] \huge{ \fbox{ \sf{7x - 20}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: 5(3x - 4) - 8x}}[/tex]

[tex] \text{Step \: 1 \: : Distribute \: 5 \: through \: the \: parentheses}[/tex]

[tex] \mapsto{ \sf{5 \times 3x - 5 \times 4 - 8x}}[/tex]

[tex] \mapsto{ \sf{15x - 20 - 8x}}[/tex]

[tex] \text{Step \: 2 \: : Collect \: like \: terms}[/tex]

[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \mapsto{ \sf{15x - 8x - 20}}[/tex]

[tex] \mapsto{ \boxed{\sf{7x - 20}}}[/tex]

[tex] \sf{Hope \: i \: helped!}[/tex]

[tex] \sf{Best \: regards!!}[/tex]

~[tex] \rm{TheAnimeGirl}[/tex]

Answer:

A.    [tex] x > \dfrac{7}{3} [/tex]

Step-by-step explanation:

[tex] 8(\dfrac{1}{2} x - \dfrac{1}{4}) > 12 - 2x [/tex]

Distribute the 8 on the left side.

[tex] 4x - 2 > 12 - 2x [/tex]

Add 2x to both sides. Add 2 to both sides.

[tex] 6x > 14 [/tex]

Divide both sides by 6.

[tex] x > \dfrac{14}{6} [/tex]

Reduce 14/6 by dividing the numerator and denominator by 2.

[tex] x > \dfrac{7}{3} [/tex]

Answer:

exact form:  n=-53/37

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

The properties used:

a) Distributive Property.

b) Combining Like Terms.

c) Division Property of Equality.

Given is an equation 3n-5 = 8(6+5n), we need to solve it by using Property of Equality.

Let's solve the equation step by step:

3n - 5 = -8(6 + 5n)

First, we will distribute the -8 to the terms inside the parentheses:

3n - 5 = -48 - 40n

Next, we can simplify the equation by combining like terms:

3n + 40n = -48 + 5

43n = -43

Now, to isolate n, we will divide both sides of the equation by 43:

(43n)/43 = (-43)/43

n = -1

The solution to the equation is n = -1.

Learn more about Property of Equality click;

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Answer:

it is being reflected by the x axis

Answer:

The answer is

Step-by-step explanation:

To find the volume in liter we must first find the volume in cm³

Since the container is cubic

Volume = l³

where l is the length of one side

From the question

l = 50.0 cm

Volume = 50³

= 125000 cm³

Next we use the conversion

1cm³ = 0.001 L

If 1 cm³ = 0.001 L

Then 125,000 cm³ = 125,000 × 0.001 L

We have the final answer as

Hope this helps you

Using the volume of a cube, and conversion of units, it is found that the volume of the cube is of 125 liters.

---------------------

The volume of a cube of side s is given by:

[tex]V = s^3[/tex]

---------------------

Thus, the volume, in cubic centimetres, is given by:

[tex]V = 50^3 = 125000[/tex]

---------------------

Then:

[tex]\frac{125000}{1000} = 125[/tex]

The volume of the cube is of 125 liters.

A similar problem is given at https://brainly.com/question/23514867

Answer:

V = πr²(h/3)

Step-by-step explanation:

83.74 = πr²(5/3)

R = 4.00 in

Diamater = 2r = 2 x 4.00 = 8 inches

Answer:

90

Step-by-step explanation:

15*6=90...

The alternate interior angle theorem states that when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.

This means that [tex]6x-8=5x+14[/tex]

[tex]x=22[/tex]

Hope this helps. 頑張って!

Answer:

its a distributive property..

Answer:

the answer is 99

Step-by-step explanation:

Answer:

  95°

Step-by-step explanation:

  ∠SRW is a vertical angle with respect to the one marked 95°. As such, it will have the same measure: 95°.

  m∠SRW = 95°

Answer:

$1615.05

Step-by-step explanation:

First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.

Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.

Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.

113.67h + 660 = 350 + 400 + x

113.67(15) + 660 = 350 + 400 + x

1705.05 + 660 = 750 + x

2365.05 = 750 + x

1615.05 = x

Answer: x=22

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 9/2 to both sides.

Step 3: Multiply both sides by 4/3.

Answer:

2a(x + 3y)

Step-by-step explanation:

2ax + 6ay

factor out a 2a

2a(x + 3y)

Answer:

A) 2.45 seconds

B)[tex]\begin{center}\begin{tabular}{ c c}\bold{Average Velocity} & \bold{Velocity at strike of water} \\ 39.18 & 78.4 \\ \end{tabular}\end{center}[/tex]

Step-by-step explanation:

Distance [tex]s[/tex] (in feet) from the top of cliff after [tex]t[/tex] seconds when a rock is dropped off the edge of a cliff is given as:

[tex]s(t)=16t^2[/tex]

Distance from the top of cliff to water = 96 ft

To find:

A) When will the rock strike the water

i.e. The time taken by the rock to travel the distance of 96 ft.

B) Table of Average Velocity and approximate velocity at which the rock strikes the water ?

Solution:

A) Given that distance traveled = 96 ft

To find the value of [tex]t[/tex]

Putting the value of [tex]s[/tex] in formula: [tex]s(t)=16t^2[/tex] to find [tex]t[/tex]:

[tex]96 = 16t^2\\\Rightarrow t^2=6\\\Rightarrow \bold{t = 2.45\ sec}[/tex]

B) The velocity at which the rock hits the water:

We need to differentiate [tex]s(t)[/tex] w.r.to [tex]t[/tex] in order to find the velocity at any instant.

[tex]s'(t) =\dfrac{d}{dt}s(t) = \dfrac{d}{dt}(16t^2)\\\Rightarrow v = 2\times 16t^{(2-1)}\\\Rightarrow v = 32t[/tex]

The time taken to reach the water is 2.45 seconds.

Putting [tex]t[/tex] = 2.45 seconds to find the velocity:

[tex]v = 32\times 2.45 = 78.4\ ft/sec[/tex]

Average velocity is given as total distance traveled and total time taken.

[tex]\text{Average Velocity = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

[tex]\text{Average Velocity = }\dfrac{96}{2.45}\\\text{Average Velocity = 39.18\ ft/s}[/tex]

[tex]\begin{center}\begin{tabular}{ c c}\bold{Average Velocity} & \bold{Velocity at strike of water} \\ 39.18 & 78.4 \\ \end{tabular}\end{center}[/tex]

Answer:

the answer is 40:15

Step-by-step explanation:

Answer:

answer 40:15

Step-by-step explanation:

Answer:

I think its 0.89

Step-by-step explanation:

Answer:

8^18

Step-by-step explanation:

8^15+3

8^18

[tex]( {5}^{2} - 1) \div 6 = [/tex]

[tex](25 - 1) \div 6 = [/tex]

[tex]24 \div 6 = 4[/tex]

Note:

Do the square first, and then you do mathematic operation between the parentheses. And, then do the

mathematic operation in the outside of parentheses.

Thank you.

Answer:

Step-by-step explanation:

[tex]\left(5^2-1\right)\div \:6\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5^2-1\right)\::\quad 24\\=24\div \:6\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:24\div \:6\:\\:\quad 4[/tex]

Answer:

Look below

Step-by-step explanation:

1) x = 14, because 14 * 14 = 196

2) x = 3 / 16, because ( 3 / 16 ) * ( 3 / 16 ) = 9 / 256

3) x = 8, because 8 * 8 * 8 = 512

4) x = 4 / 7, because ( 4 / 7 ) * ( 4 / 7 ) * ( 4 / 7 ) = 64 / 343

Answer:

x =1.28571428571

Step-by-step explanation:

6x + 2y = -10

y = -4x - 8

6x + 2(4x - 8) = -10

6x + 8x - 8 = -10

14x - 8 = 10

(we put together the like terms)

14x = 10 + 8

14x = 18

x =  [tex]\frac{18}{14}[/tex]

x = 1.28571428571

Answer:

Washington has 159 hits and Sanchez has 155 hits.

Step-by-step explanation:

First, divide 314 by 2 (the number of players), then add 2 for Washington and subtract 2 for Sanchez.

Answer:

jacki did not subtract 8 minus 12 properly.8 minus 12 equals -4

Answer:

its c

Step-by-step explanation:

on edunuity

Answer:

9y+18

Step-by-step explanation:

Distribute the 9 to the terms in the parentheses.

9(y)+9(2)

9y+18

Answer:

see the work pictured please

Answer:

1,3,5,15

1,2,11,22

1,2,17,34

1,3,5,9,15,45

1,2,5,10,25,50

Step-by-step explanation:

Hope it will help u

Answer:

Distributive property

Step-by-step explanation:

2(x+4)

We can write it as:-

=>2(x)+2(4)

=>2x+8

Answer:

the awnser is c the distributive proporties

Step-by-step explanation:

Answer:

B. 200

Step-by-step explanation:

A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.

Non perfect square numbers are 1*2=2,

3*1=3,

5*1=5,

3*2=6,

6*1=6,

7*1=7

Examples of perfect squares:

1*1=1

2*2=4,

3*3=9,

4*4= 16,

5*5=25,

6*6=36,

7*7=49,

8*8=64,

9*9=81,

10*10=100,

11*11=121,

12*12=144,

13*13=169,

14*14=196,

15*15=225 and so on

Answer:

algebraic equation is an equation of the form