Simplify: 3a2b + 5ab – 4ab + ab2 + 8a2b

Answer:

Geometric sequence

[tex]a_{10} = 524288[/tex]

Step-by-step explanation:

Given

[tex]a: 2,8,32,128...[/tex]

Solving (1): The type of sequence

To check for arithmetic sequence:

[tex]d = a_2 - a_1[/tex] --- common difference

[tex]d = 8 - 2 = 6[/tex]

[tex]d =a_3 - a_2[/tex]

[tex]d =32-8=24[/tex]

Both values of d are not the same; Hence, the sequence is not arithmetic

To check for geometric sequence:

[tex]r = \frac{a_2}{a_1}[/tex] --- common ratio

[tex]r = \frac{8}{2}=4[/tex]

[tex]r = \frac{a_3}{a_2}[/tex]

[tex]r = \frac{32}{8} = 4[/tex]

[tex]r = \frac{a_4}{a_3}[/tex]

[tex]r = \frac{128}{32} = 4[/tex]

All values of r are the same.

Hence, it is a geometric sequence

Solving (2): Find [tex]a_{10[/tex]

For a geometric sequence;

[tex]a_n = a_1 * r^{n-1[/tex]

[tex]a_{10} = 2 * 4^{10-1[/tex]

[tex]a_{10} = 2 * 4^9[/tex]

[tex]a_{10} = 524288[/tex]

Answer:

( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50

Step-by-step explanation:

( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50

Answer:

9.53 x 10^4

Hope this helps.(～￣▽￣)～

Please mark as Brainiest.

THANKS. \^o^/

Step-by-step explanation:

9 + y^2 = 49

y^2 = 40

y = √40 = 2√10

4.5/3 = 2√10/5x

22.5x = (3) 2√10

22.5x = 6√10

x = 6√10/22.5 = 3√10/11.5

Answer:

For some sets of data, some of the largest value, smallest value

, first quartile, median, and third quartile may be the same. For instance, you might have a data set in which the median and the third quartile are the same. In this case, the diagram would not have a dotted line inside the box displaying the median. The right side of the box would display both the third quartile and the median. For example, if the smallest value and the first quartile were both one, the median and the third quartile were both five, and the largest value was seven, the box plot would look like:

In this case, at least

25

25

% of the values are equal to one. Twenty-five percent of the values are between one and five, inclusive. At least

25

25

% of the values are equal to five. The top

25

25

% of the values fall between five and seven, inclusive.

Answer:

First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.

Step-by-step explanation:

First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.

Answer:

C

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Pythagorean theorem

Answer: 37 (side AB)

Step-by-step explanation:

For this question you would have to use Pythagoras' theorem. Pythagoras' theorem states that c²=a²+b².

so when you put the numbers in the formula you get c²=12²+35²

12²=144

35²=1225

c²=144+1225

c²=1369

Then because you want c on it's own you square root 1369.

c=√1369

c=37

Hope this helps :)

Answer:

option 3 is the answer because it has given

Answer:

X Values

∑ = 53.5

Mean = 10.7

∑(X - Mx)2 = SSx = 151.086

Y Values

∑ = 6.9

Mean = 1.38

∑(Y - My)2 = SSy = 3.788

X and Y Combined

N = 5

∑(X - Mx)(Y - My) = 23.711

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 23.711 / √((151.086)(3.788)) = 0.9911

So r= 0.9911 or 99.11%

Answer:

1)C

2)H

3)G

4)can see it cause the graph is blocked in the picture

5)Z

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

Given data

The cost price of the shoe= $20

Discount = 20%

Let us find the amount of the 20% discount

=20/100*20

=0.2*20

=$4

Hence the selling price will be

=20-4

=$16

Step-by-step explanation:

y=kx

say that y is the original prince and x is the sale price

15=k(10)

15/10=k

3/2=k

you can check with the next problem to check if it is the same

25=k(20)

25/20=k

5/4=k

so you take 5/4-3/2=-1/4 so the constant is -1/4

Hope that helps :)

Answer:

3.14

Step-by-step explanation:

Answer:

Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square

If the radius is (r) so the area is

A = d * d

Answer:

Step-by-step explanation:

Graphed in Desmos!

Answer:

B. 146,000

Step-by-step explanation:

Answer:

y = -12

Step-by-step explanation:

-4 (8+3y) = 112

-32 -12y = 112

-12y = 144

y = -12

Answer:

-4(8+3y)=112

-32-12y=112

-12y=112+32

-12y=144

y=144÷-12

y=12

Answer:

Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following

5 hours : 4 students

6 hours : 1 student

7 hours : 3 students

8 hours : 3 students

9 hours : 0 students

10 hours: 2 students

11 hours : 2 students

12 hours : 0 students

Step-by-step explanation:

Answer: B

its B because the line shows how much 5 were there and there was 2 dots

Given:

The four table of values.

To find:

The table whose linear function has slope 2.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from each table and find the slope for each table.

For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:

[tex]m=\dfrac{-1-1}{6-2}[/tex]

[tex]m=\dfrac{-2}{4}[/tex]

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

For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-8}{2-0}[/tex]

[tex]m=\dfrac{-4}{2}[/tex]

[tex]m=2[/tex]

For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:

[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]

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

[tex]m=\dfrac{1}{2}[/tex]

For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-0}{0-(-2)}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

Table 4 is the only table that represents a linear function whose slope is 2.

Therefore, the correct option is 4, Table 4.

Answer:

(part A) A≈ 50.27m²

(part B) C≈4m

Hope this helps have a great rest of the day, or night!! :))

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

Answer:

7.5%

Step-by-step explanation:

86 - 80 / 80 = 0.075

so 7.5%

The percentage increase in wages of from last year to now is 7.5%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, last year janes wages were $80 per week her wages are now $86 per week.

Now, the difference in wage =86-80

= 6

The percentage increase

= 6/80 ×100

= 7.5%

Therefore, the percentage increase in wages of from last year to now is 7.5%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer:

Step-by-step explanation:

The equation of a line with slope of m and y-intercept of b is: y = mx + b

b = 2 and line contains the point (4, -9), so:

-9 = m×4 + 2          {subtract 2 from both sides}

-11 = 4m                   {divide booth sides by 4

m = -¹¹/₄

Answer:

i dont knoe

Step-by-step explanation:

Answer:

It’s C

Step-by-step explanation:

Answer:

Like what king of range ? Like far range?

Step-by-step explanation:

Answer:

Interval

Step-by-step explanation: