Find the 6th term of the geometric sequence whose common ratio is 2/3 and whose first term is 4

Answer:

3x

Step-by-step explanation:

You multiply the pervious number with 3 to get the next number

For example 2 times 3 = 6

6 times 3 = 18

18 times 3 =54

54 times 3= 162

So on and so forth

The phrases best describes the line that passes through the points (5, -7) and (a, -4) is rise from left to right.

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis

As, we locate this coordinate in graph we can see the line will either rise from left to right or falls from right to left.

Hence, line that passes through the points (5, -7) and (a, -4) will rise from left to right.

Learn more about coordinates here:

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Answer:

About 1 1/2 :)

Step-by-step explanation:

The answer is 1.46 which is close to 1.5

Answer:

this are the equation I was taught

Step-by-step explanation:

_(x2+4x+8)=0

Answer:

6

Step-by-step explanation:

The worst scenario is that of a slight possibility, the first 5 balls you took are completely different color. The chance of this happening is tiny, but if you want to be sure, then you should consider about it.

But, after taking out the sixth ball, you can be sure that the ball, now right on your hand, must share a same color with at least one of the balls you took out, since there are only five colors.

Answer:

Step-by-step explanation:

1. Three million, two hundred ninety eight thousand, seventy six

2. 50,003,087

50,000,000+3000+87

3. 60,400,239

Answer:

the anwser is d

Step-by-step explanation:

Here we are given that C is between A and B.

So using the midpoint rule, sum of whole length AB will be addition of lengths AC and BC

Hope that helps

Answer:

AC Or CA

Step-by-step explanation:

So, this is what a b and c would look like on a number line:

A----C----B

However, we dont know exactly what these variables are. THey could be somerthing like this:

A------------------C-B

But this doesnt matter.

If we look at the first numberline, A and C make up the first half of the numberline.

C to B make up the later half.

AB is the total numberline.

SO tecnically, A to C+ C to B = AB

Or:

AC + CB = AB

This can also be seen in the second numberline.

A to C make up almost all of the numberline.

C to B make up a smll amount.

But in the end, AC + CB will still make AB.

Hope this helps you! :D

Answer:

1,645 poles

Step-by-step explanation:

Here, we want to calculate the total number of poles

We can have an arithmetic progression here

Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1

Firstly, we calculate the number of stacks which can be obtained using the nth term formula;

Tn = a + (n-1)d

58 = 12 + (n-1)1

58 = 12 + n - 1

58 = n + 11

n = 58-11

n = 47

So we have the stack high up to 47 units

So, using the sum of terms in an arithmetic sequence formula, we have;

Sn = n/2 ( a + L)

where a is the first term 12 and L is the last term 58

Thus, we have

Sn = 47/2( 12 + 58)

Sn = 47/2 * 70

Sn = 1,645

Answer:

diagonal, congruent triangles

Step-by-step explanation:

Answer:

Here you go!

Hope this helps!

Answer:

x = 9 or x = -9

Step-by-step explanation:

The parameters of the given points are;

The location of the point T = (0, 7)

The location of the point U = (x, -5)

Then distance between points T and U = 15 units

The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;

[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, for the given points, T(0, 7) and U(x, -5), we get;

[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]

Squaring both sides, gives;

[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]

∴ x² = 15² - (-12)² = 81 = 9²

x² = 9²

∴ x = ±√(9²) = ± 9

The possible values of x are x = 9 or x = -9

Answer:

ANSWER IS B

Step-by-step explanation:

5x - 3 = 3x + 1

5x - 3x = 1 + 3

2x = 4

x = 4/2

x = 2

Answer:

B. 2

Step-by-step explanation:

The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:

5(2) - 3 = 3(2) + 1

10 - 3 = 6 + 1

7 = 7

So x is 2

Answer:

5x+8y

Step-by-step explanation:

We can first open the brackets by using the distrubitive propety.

2(x+4y)+3x

2x+8y+3x

Now we can combine like terms.

5x+8y.

I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.

Hoped this helped,

JoeLouis2

Answer:

4x + 5y = 20

Step-by-step explanation:

4x + 5y = 20

5y = -4x + 20      (Subtract 4x to isolate 5y. Put the 4x in front of the 20)

y = [tex]-\frac{4}{5}x[/tex] + 4         (Divide all by 5 to isolate y)

And then it's done and in slope-intercept form

[tex]-1< -\frac{4}{5} < 0[/tex]        or [tex]-\frac{4}{5}[/tex] is greater than -1 but less than 0

I hope this helped :)

Answer:

30 girls

Step-by-step explanation:

         boys to girls

               4 to 6

since there are 50 players we have

    4*5= 20 to 6*5 =30

because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.

Answer:

A 99.96%

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is positive if the raw score is above the mean while the z score is negative if the raw score is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ z=z-score,\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

The probability can be gotten from the normal distribution table. Therefore from the normal table:

P(z < 3.37) = 0.9996 = 99.96%

Answer:

almonds =345, cashews=125

Step-by-step explanation:

a=almonds, c=cashews

8a+12c=4260. Equation 1

a + c= 470  Equation 2

a=470-c. Isolate a from equation 2

8(470-c)+12c=4260 sub value of a from equation 2 into equation 1

3760-8c+12c=4260

4c=500

c=125

solve for a by substituting value of c into either equation

a+c=470

a+125=470

a=345

Answer:

4340.

Step-by-step explanation:

14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.

Sum of n terms = (n/2)[2a1 + d(n - 1)]

Here n = 31, d = 9 and a1 = 5.

So, substituting, we have:

Sum of 31 terms = (31/2)[2*5 + 9(31-1)]

= 15.5 * 280

= 4340.

Answer:

540 jumps in 9 minutes.

Step-by-step explanation:

60 jumps a minute. Chen is fast, but we need to find how many jumps in 9 minutes.

Let's say one minute is m

m = 60

9m = 60x9

We do x9 because from m to 9m you need to multiply by 9, so lets do that on both sides.

9m = 540

9 minutes = 540 jumps

Hope this helps!

--Applepi101

Ansfdfgh gggghjtyuhjrswzargfyf

Step-by-step explanation:

Answer:

Ten thousands

Step-by-step explanation:

Replace all other digits with zero

This gives 40,000

Ten thousand (10,000) has the same amount of digits

Answer:

Slope of line B: 1/3

Step-by-step explanation:

To find a slope perpendicular to another slope, you take its negative reciprocal.

Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3

Answer:

54

Step-by-step explanation:

Since triangle ABC ~ DEF

Angle A = Angle D

Angle A = 54

Answer:

Step-by-step explanation:

(x - 2)(x + 4)

=x(x + 4) -2(x + 4)

=x^2 + 4x - 2x - 8

=x^2 + 2x - 8

(x + 1)(x + 6)

=x(x + 6) +1(x + 6)

=x^2 + 6x + x + 6

=x^2 + 7x + 6

(x - 4)(x + 2)

=x(x + 2) -4(x + 2)

=x^2 + 2x - 4x - 8

=x^2 - 2x - 8

(x + 5)(x - 3)

=x(x - 3) +5(x - 3)

=x^2 - 3x + 5x - 15

=x^2 + 2x - 15

(x - 6)(x - 2)

=x(x - 2) -6(x - 2)

=x^2 - 2x - 6x + 12

=x^2 - 8x + 12

Answer:

90 students.

Step-by-step explanation:

279-9=270, and 270 divided by 9 is 90.

Answer:

[tex]h=4m[/tex]

Step-by-step explanation:

Speed [tex]V=24m/s[/tex]

Time [tex]t=6.0s[/tex]

Generally the equation for Height is mathematically given by

 [tex]h=\frac{V}{t}[/tex]

 [tex]h=\frac{24}{6}[/tex]

 [tex]h=4m[/tex]