If the 2nd number in the sequence is 6 and the 6th number is 486. Find the common ratio r

Answer:

108 cubic cm

Step-by-step explanation:

Multiply 3, 3, and 12. Just multiply the dimensions of the cubes.

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder  is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

The top of the ladder is 3.7088 m away from the ground.

The bottom of the ladder is 1.5 m away from the wall.

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given:

Angle = 68 degree

Hypotenuse = 4 m

Now, using Trigonometry

sin 68 = P/ H

0.9272 = P/ 4

P = 3.7088 m

Thus, the top of the ladder is 3.7088 m away from the ground.

Now, using Pythagoras theorem

H²= P² + B²

4² = (3.7088)² + B²

16 = 13.75 + B²

B² = 2.25

B= 1.5 m

Thus, the bottom of the ladder is 1.5 m away from the wall.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Step-by-step explanation:

To find circumfrence you use the equation:

[tex]C=2\pi r[/tex]

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

[tex]C=2\pi 7[/tex]

C= 43.98 or 44 rounded

Answer:

To find circumfrence you use the equation:

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

C= 43.98 or 44 rounded

Step-by-step explanation:

Answer:

90000 gallons

Step-by-step explanation:

Given

[tex]Capacity\ at\ 60\% = 540000[/tex]

Required

Determine the full capacity

Let the maximum number of gallons be m.

So, we have:

[tex]60\% * m = 54000[/tex]

Convert % to decimal

[tex]0.60 * m = 54000[/tex]

Divide both sides by 0.60

[tex]m = \frac{54000}{0.60}[/tex]

[tex]m = 90000[/tex]

Hence, the maximum number of gallons it can hold is 90000 gallons

Answer:

Step-by-step explanation: capacity is 60% = 54000

Determine what is missing = 90000

Answer:

Step-by-step explanation:

[tex]\sqrt{75x^6}\\ \\ \sqrt{3(5^2)x^{3^2}}\\ \\ 5x^3\sqrt{3}[/tex]

Answer:

$17.50

Step-by-step explanation:

$18.37=x+5%

18.37=1.05x

18.37/1.05=x

x=$17.50

Answer:

$76,487.50

Step-by-step explanation:

Answer:

The Fraction show above is 2/8

Step-by-step explanation:

#Hope it helps

Answer:

0.02

Step-by-step explanation:

90 multiplied by 0.02 is 1.8

Answer:

19%

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

Using the relationship

distance (d) = speed (s) × time (t)

The freight train leaves the station 1 hour earlier than the passenger train, so

d = 40(t + 1) ← Freight train

d = 50t ← Passenger train

We require to find when they are at the same distance from the station, then equating the 2 equations

50t = 40(t + 1) ← distribute

50t = 40t + 40 ( subtract 40t from both sides )

10t = 40 ( divide both sides by 10 )

t = 4

The passenger train will overtake the freight train after 4 hours

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

(2)

let l represent length, then width = l - 32

perimeter (P) = 2l + 2w = 290, that is

2l + 2(l - 32) = 290 ← distribute and simplify left side

2l + 2l - 64 = 290

4l - 64 = 290 ( add 64 to both sides )

4l = 354 ( divide both sides by 4 )

l = 88.5 and w = 88.5 - 32 = 56.5

Then dimensions are 88.5 yards by 56.5 yards

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

(3)

Plan A : 100 + 15n

Plan B : 25n

When is Plan A better than Plan B , that is

100 + 15n > 25n ( subtract 25n from both sides )

100 - 10n > 0 ( subtract 100 from both sides )

- 10n > - 100

Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.

n < 10

Plan A is better when number of hours (n) is less than 10

Answer:

3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?

Answer:

See Explanation

Step-by-step explanation:

We will make use of the following rules in solving these questions:

Inverse Variation: [tex]a\ \alpha\ \frac{1}{b}[/tex] ==> [tex]a = k/b[/tex]

Direct Variation: [tex]a\ \alpha\ b[/tex] => [tex]a = kb[/tex]

Direct, then inverse variation: [tex]a\ \alpha\ b\ \alpha\ \frac{1}{c}[/tex] ==> [tex]a= kb/c[/tex]

Joint Variation: [tex]a\ \alpha\ bc[/tex] ==> [tex]a= kbc[/tex]

The solution goes thus:

1. m varies directly to a

[tex]m\ \alpha\ a[/tex]

[tex]m =ka[/tex]

2. p varies inversely as q.

[tex]p\ \alpha\ \frac{1}{q}[/tex]

[tex]p\ = k\frac{1}{q}[/tex]

3. [tex]r\ varies[/tex] directly as s and inversely as t.

[tex]r\ \alpha\ s\ \alpha\ \frac{1}{t}[/tex]

[tex]r = k\frac{s}{t}[/tex]

4. z varies jointly as [tex]e\ and\ f.[/tex]

[tex]z\ \alpha \ ef[/tex]

[tex]z = kef[/tex]

5. F varies directly as the [tex]square\ of\ t.[/tex]

[tex]F\ \alpha\ t^2[/tex]

[tex]F = kt^2[/tex]

6. d varies jointly r and t

[tex]d\ \alpha\ rt[/tex]

[tex]d = krt[/tex]

7. P is inversely proportional to h.

[tex]P\ \alpha\ \frac{1}{h}[/tex]

[tex]P= \frac{k}{h}[/tex]

8. P varies directly as V

[tex]P\ \alpha\ V[/tex]

[tex]P=kV[/tex]

9. d varies directly as the square of  t

[tex]d\ \alpha\ t^2[/tex]

[tex]d = kt^2[/tex]

10. s varies jointly as  b and d and inversely as the  square L

[tex]s\ \alpha\ bd\ \alpha\ \frac{1}{L^2}[/tex]

[tex]s = k\frac{bd}{L^2}[/tex]

Answer:

Holly molly

Can i plz have brainliest

Step-by-step explanation:

Answer:

DANDG MAN??????????? DANG*

Step-by-step explanation:

Answer:

a) W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.

b) 0.2013 = 20.13% probability that you win exactly 3 times.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a. Explain why W is a binomial random variable.

For each time a duck is selected, there are only two possible outcomes. Either it has a star, or it does not. Also, after a duck is selected, it is placed back in the water which means that in each trial, the probability of finding a duck with star is the same. This is why W is a binomial random variable.

b. Find the probability that you win exactly 3 times.

Let W=the number of times you win if you play this game 10 times.

This means that [tex]n = 10[/tex]

The game claims to have 20 ducks with stars among the 100 ducks.

This means that [tex]p = \frac{20}{100} = 0.2[/tex]

We have to find P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013[/tex]

0.2013 = 20.13% probability that you win exactly 3 times.

W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.

There is 20.13% probability that you win exactly 3 times.

Given that,

In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves.

The game claims to have 20 ducks with stars among the 100 ducks.

Let, W = the number of times you win if you play this game 10 times.

We have to determine,

Explain why W is a binomial random variable.

Find the probability that you win exactly 3 times.

According to the question,

Let, W=the number of times you win if you play this game 10 times.

Therefore,

The game claims to have 20 ducks with stars among the 100 ducks.

Then, The probability that you win exactly 3 times is,

[tex]P(X =x) = \ ^nC_x \times P^{x} \times (1-p)^{n-x}[/tex]

When, x = 3 and n = 10

Therefore,

[tex]P(X =3) = \ ^{10}C_3 \times (0.2)^{3} \times (1-0.2)^{10-3}\\\\P(X =3) = \ ^{10}C_3 \times (0.2)^{3} \times (0.8)^{7}\\\\\\P(X =3) = \dfrac{10!}{7!. 3!} \times 0.008 \times 0.20\\\\P(X=3) = 0.2013 = 20.13 \ percent[/tex]

There is 20.13% probability that you win exactly 3 times.

To know more about Probability click the link given below.

https://brainly.com/question/23270039

Answer:

2131 km

Step-by-step explanation:

The Pythagorean theroeom states that a^2+b^2=c^2. We know that Earth's radius is 6314, so we know one of the shorter sides, (a). side c, the hypotenuse, is 6314 km plus 350 km. Plug it into the equation and then solve for b.

6314^2+b^2=6664^2

b^2=4542327

sqaure root each side and you have your answer!

Answer:

Brittany is sharing number of [tex]\frac{1}{15}[/tex]s with her sister = 6

Step-by-step explanation:

Let the shell collection of Brittany = x

She is giving [tex]\frac{2}{5}[/tex] of her shell collection to her sister.

Therefore, shells received by her sister = [tex]\frac{2x}{5}[/tex]

[tex]\frac{1}{15}[/tex]th of her shell collection = [tex]\frac{x}{15}[/tex]

Number of [tex]\frac{1}{15}[/tex]s her sister received = [tex]\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}[/tex]

                                                         = [tex]\frac{\frac{2x}{5}}{\frac{x}{15} }[/tex]

                                                         = [tex]\frac{2x}{5}\times \frac{15}{x}[/tex]

                                                         = 6

Therefore, number of [tex]\frac{1}{15}[/tex] received by her sister = 6

Answer:

Step-by-step explanation:

(2x + 7)(x + 1)

answer is A

Answer:

2952 square centimeters are needed to cover the exterior of the box.

Step-by-step explanation:

We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:

[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)

Where:

[tex]w[/tex] - Width, measured in centimeters.

[tex]l[/tex] - Length, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:

[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]

[tex]A_{s} = 2952\,cm^{2}[/tex]

2952 square centimeters are needed to cover the exterior of the box.

Answer:

6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.

7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

The mean absolute deviation of the scores 299, 281, 285, 269, 280, 269, 286, 287 is, 7.5

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, We know that;

The mean absolute deviation (MAD) is a measure of the dispersion of a set of data. It is calculated as the average absolute difference between each data point and the mean of the set.

Hence, To find the MAD for the given scores, first find the mean of the scores:

= (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287) / 8

= 280.5

Then, find the absolute difference between each score and the mean, and take the average of these differences:

= (|299 - 280.5| + |281 - 280.5| + |285 - 280.5| + |269 - 280.5| + |280 - 280.5| + |269 - 280.5| + |286 - 280.5| + |287 - 280.5|) / 8

= (18.5 + 0.5 + 4.5 + 11.5 + 0.5 + 11.5 + 5.5 + 6.5) / 8

= 7.5

So, the mean absolute deviation of the scores is 7.5.

To learn more about the mean absolute deviation, visit:

brainly.com/question/10528201

#SPJ3

Answer:

Step-by-step explanation:

68000+6.75b>82000+5.5b. subtract 5.5b from both sides

68000+1.25b>82000. subtract 68000 from both sides

1.25b>14000. divide both sides by 1.25

b>11200

So she must sell more than 11500 books to make more with second publisher.

Answer:

[tex]3 + 4.50g \leq 25[/tex]

[tex]g\leq 4[/tex]

Step-by-step explanation:

25 - 3 is 22. 22 divided by 4.50 is a decimal. But it rounds down to 4. So the most amount of games Tristan can play is 4.

Hope it helps!

2.4 x 1/3 = 0.8 liters more.

2.4 + 0.8 = 3.2 liters

Stephen drinks 3.2 liters which is 3,200 milliliters

Answer:

x = 9

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex]x=\sqrt{x+7} +5[/tex]

Step 1: Flip the equation.

[tex]\sqrt{x+7} +5=x[/tex]

Step 2: Add -5 to both sides.

[tex]\sqrt{x+7} +5-5=x-5[/tex]

Step 3: Solve Square Root.

[tex]\sqrt{x+7} =x-5[/tex]

[tex]{x+7} =(x-5)^2[/tex] (Square both sides)

[tex]x+7=x^2-10x+25[/tex]

[tex]-x^2+11x-18=0[/tex]

[tex](-x+2)(x-9)=0[/tex] (Factor left side of equation)

[tex]-x+2=0[/tex]   or  [tex]x-9=0[/tex] (Set factors equal to 0)

x = 2 or x = 9

x = 2 (Doesn't work on the original equation)

x = 9 (Works in the original equation)

Answer:

x = 9

Answer:

4x^2+3x-6

Step-by-step explanation:

Answer:

4x^2+3x-2

Step-by-step explanation:

I hope this helps

Answer:

Standard deviation= 4.46

B) 4.89 is the nearest answer

Step-by-step explanation:

Standard deviation √variance

Variance= (summation (x-mean)²)/n

Mean= summation of numbers/total

Mean =( 12+13+ 7+5+15 18)/6

Mean= 70/6

Mean= 11.67

Variance=(( 12-11.67)²+(13-11.67)²+ (7-11.67)²+(5-11.67)²+(15-11.67)²+ (18-11.67)²)/6

Variance= (0.1089+1.7689+21.8089+44.4889+11.0889+40.0689)/6

Variance= 119.3334/6

Variance= 19.8889

Standard deviation= √variance

Standard deviation= √19.8889

Standard deviation= 4.46

Answer:

125.25

Step-by-step explanation:

5 cube =125

1/2=0.5

0.5 squared =0.25

125+0.25=125.25