Is 94 − –3 positive or negative?

The 100th term of the sequence is 6^199

The sequence is given as:

6, 6^3,6^5,6^7

Calculate the common ratio using:

r = T2/T1

So, we have

r = 6^3/6

This gives

r = 6^2

The 100th term of the sequence is

Tn = a * r^n-1

So, we have

T100 = 6 * (6^2)^100 - 1

Evaluate

T100 = 6^199

Hence, the 100th term of the sequence is 6^199

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Answer:

\(y = - 3x - 5 \\ c = - 5\)

Answer:

2.4 cm

Step-by-step explanation:

i hope that I helped you.

Answer:

1/9

Step-by-step explanation:

Probability = Expected outcome/Total outcome

Since we have five blue jelly beans, two red jellybeans, one orange jellybean and 2 pink jellybeans in a bag

Total outcome = 5 + 2 + 1 + 2

Total outcome = 10

Probability of selecting a blue = 5/10 = 1/2

Since it is not replaced, the total ball remaining will be 9

If pink jellybean is picked after, the probability of picking a pink will be 2/9

Hence probability of selecting a blue jellybean and then a pink jellybean = 1/2 * 2/9 = 1/9

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with \(45y^6\).

Fernando

\((9y^3)(5y^3)\)

= \(9 * 5 * y^3 * y^3\)

= \(45y^6\)

Salma

\((3y)(15y^5)\)

= \(3 * 15 * y * y^5\)

= \(45y^6\)

As we can see, they both factored it correctly.

Answer:

both are correct in their factoring

Step-by-step explanation:

Answer:

Hi mate

The right angled triangle is the best name for it

Because it has an right angle or 90 degree angke

Step-by-step explanation:

\(8a^{3} +\sqrt{3^{2}*3 } b^{3}\)

\(8a^{3} +(\sqrt{3^{2} } *\sqrt{3})b^{3} \\\\\)

\(8a^{3} +(3^{\frac{2}{2} } *\sqrt{3} )b^{3}\)

\(8a^{3} +(3*\sqrt{3} )b^{3}\)

\(8a^{3} +3*\sqrt3} *b^{3}\)

Answer:

What do we have to do in this? Find x? Let me know I'll explain it in the comment section

Answer:

x = 1/6 or x = 3

Step-by-step explanation:

Given :

Solving :

Answer:

Step-by-step explanation:

\(n^{5}= 1254\\n^{5} = 2.3.11.19\)

Therefore it is not possible that n is a perfect power of 5

           it is approximately 4.16

Answer:

n ≈ 4.165

Step-by-step explanation:

To solve this, you need to take the 5th root of both sides:

\(n^5=1,254\)

\(\sf{\sqrt[5]{n^5} =\sqrt[5]{1254}}\)

On the lhs we're only left with n as n^5 and the 5th root cancel each other out.

On the right-hand side we need to calculate:

\(n\approx4.165\)

Answer: b= 20

Step-by-step explanation:

y= 5x + 20

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

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Got it. Hope this will help.

The value of [x] = 11.67 satisfies the equation 3x + 1 = 4|9|.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation -

3x + 1 = 4|9|

We have -

3x + 1 = 4|9|

3x + 1 = 4 × 9

3x + 1 = 36

3x = 35

x = 11.67

Therefore, the value of [x] = 11.67 satisfies the equation 3x + 1 = 4|9|.

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Answer:

lines b and c are parallel

Step-by-step explanation:

lmk if you want an explanation

Answer:

The answer would be rational. Please mark brainliest.

Step-by-step explanation:

I know this because the number make up a difference of y=mx+b

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

0.0588

Step-by-step explanation:

There are 52 cards total in a pack of cards.

There are 13 diamond cards in a pack of card

When the first card is dealt, it is NOT replaced. When the second card is dealt, it is NOT replaced

In probability:

AND = multiplication

  OR = addition

Probability = \(\frac{Total number of diamond cards}{Total number of cards}\)

Probability that both friends for diamonds:

First card is DIAMONDS AND second card is DIAMONDS:

= \(\frac{13}{52}\)×\(\frac{12}{51}\)

= \(\frac{156}{2652}\)

= 0.0588 (Rounded off to 3 significant figures)

Answer:

100 is the number

Step-by-step explanation:

For this equation, it may be helpful to replace words with symbols.
The question is:
if 6% of x is the same as 5% of 120, then what is x?

The comma splits the sentence into two parts

if 6% of x is the same as 5% of 120 is the main focus, and the second part requires you to find x.

In the question "if 6% of x is the same as 5% of 120"
the word "of" can be replaced with " * ", and the words "is the same as" can be replaced with "=". The if can be dropped

The question becomes:

6% * x = 5% * 120

This equation can be easily solved.

6% = 0.06
5% = 0.05

So,

0.06x=0.05*120

0.06 x = 6

x = 6 / 0.06

x = 100

Answer:

The Consumer Price Index (CPI) is a measure of the average change overtime in the prices paid by urban consumers for a market basket of consumer goods and services.

Applying the inscribed angle theorem, we have:

1. m∠ABC = 79°

2. x = 10

The inscribed angle theorem states that the measure of an inscribed angle = 1/2(measure of intercepted arc).

Thus:

1. Find m∠ABC:

m∠ABC = 1/2(measure of arc AC) [inscribed angle theorem]

Substitute

m∠ABC = 1/2(360 - 94 - 108)

m∠ABC = 79°

2. Find the value of x:

m∠DEF = 1/2(DF) [inscribed angle theorem]

Substitute

51 = 1/2(14x - 38)

2(51) = 14x - 38

102 = 14x - 38

102 + 38 = 14x

140 = 14x

10 = x

x = 10

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1.5 hours

60 mph

We know D = RT

Where

D is distancce

R is rate

T is time

time we need for 90 miles:

D = RT

90 = 60T

T = 90/60

T = 1.5 hours

Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.

We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.

The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.

We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus.  Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.

Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.

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Answer:

(C) -7x - 5y = -48

Step by step explanation:

We look for the equation of the line AB

We have then:

y-yo = m (x-x0)

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

m = (4 - (- 1)) / (4 - (- 3))

m = 5/7

We choose an ordered pair:

(xo, yo) = (4, 4)

Substituting:

y-4 = (5/7) (x-4)

y = (5/7) x-20/7 + 4

7y = 5x - 20 + 28

7y = 5x + 8

y = (5/7) x + 8/7

The equation of the perpendicular line is:

-7x - 5y = -48

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.

This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.

here, we have,

Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.

Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.

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Answer:

10dimes and 40nickels

Step-by-step explanation:

We know that the amount of nickels is four times that of dimes, so think about the total 50 in 5parts; if we divide 50 by 5 we are going to get 10. The nickels get 4/5s of the total, and the dimes get 1/5 of it.