Whats the sum of 3/7 and 1/21

is given that the number of bacteria doubles every hour.

Therefore, the number of bacteria after every hour will form a G.P.

with first term (a=30) and common ratio (r=2)

∴a

3

=ar

2

=(30)(2)

2

=120

Therefore, the number of bacteria at the end of 2nd hour will be 480.

a

5

=ar

4

=(30)(2)

4

=480

and a

n+1

=ar

n

=(30)(2)

n

Thus the number of bacteria at the end of nth hour will be (30)(2)

n

Using linear function concepts, it is found that graph A is the one that best represents the relationship.

A linear function is modeled by:

y = mx + b

In which:

In this problem, there is a fixed fee of $10, plus a fee of $2 per movie, hence m = 2, b = 10, and the function is given by:

y = 2x + 10.

Due to the y-intercept of y = 10, that is, when x = 0, y = 10, graph A is the one that best represents the relationship.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer: I don't see the paper very well.

Step-by-step explanation:

Answer:

15cm²

Step-by-step explanation:

Formula of a triangle:

½ × base × height

= ½ × 5 × 6

= 15 cm²

Hope this helps =)

Answer:

15 cm squared :)

Step-by-step explanation:

Area of triangle: b(h)/2

Now lets solve!!

5(6)/2

30/2

15

Have an amazing day!!

Plerase rate and mark brainliest!!

Answer:

B. 314.9 m2

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

In order to find the average of something, you add all the numbers and then divide it by how many numbers there were.

69+68+100+105=360

360 ÷ 4 = 90

John's average is 90.

Brainliest please?

Answer:

1500 * 0.07 = 105

105 + 1500 = 1605

Step-by-step explanation:

Answer:

The answer for your question is C. 22°, 22°, and 136°.

Explanation:

A right triangle will always have one angle that is 90°.

All of the other options have a 90° angle, so your answer is C.

Hope this helps!

Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

The total number of options is given by:

N = 2 x 5 = 10.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

Answer:

10

Step-by-step explanation:

Let (2, 7) = [tex](x_{1} ,y_{1} )[/tex]    and (8, -1) = [tex](x_{2} ,y_{2} )[/tex]

 = [tex]\sqrt{(8-2)^{2} + (-1 -7)^2}[/tex]

= [tex]\sqrt{6^2 +(-8^2)}[/tex]

= [tex]\sqrt{36 + 64}[/tex]

= [tex]\sqrt{100}[/tex]

= 10

The length of the segment with endpoints at (2, 7) and (8, -1) using distance formula is 10 units.

Distance formula is the the formula for calculating the length of a line segment given the coordinates of the endpoints. The formula is given as :

Given the endpoints [tex](x_1,y_1), (x_2, y_2)[/tex]

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given in the question,

[tex](x_1,y_1) = (2,7)\\(x_2, y_2)=(8,-1)[/tex]

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d= \sqrt{(8-2)^2+(-1-7)^2}\\\\d= \sqrt{(6)^2+(-8)^2}\\\\d = \sqrt{36+64} = \sqrt{100} = 10[/tex]

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Answer:

90,000

Step-by-step explanation:

So a scientific notation is written as [tex]N*10^k[/tex]

So in this scientific notation its just equivealent to saying

[tex]9*10^4\\9*(10*10*10*10)\\9*10,000\\90,000[/tex]

Both the median and the range changed, the correct option is A.

Median, in statistics, is the middle value of the given list of data, when arranged in an order.

The data set that contains the outlier is given as:

4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the data is: 4

The median or middle quartile i.e. [tex]\rm Q_2[/tex]  is the central tendency of the data and exists in the middle of the data.

The median is: 16

Also, the lower set of data is:

4,14,15,15,16

The lower quartile i.e. [tex]\rm Q_1[/tex]  is the median of the lower set of data.

The  lower quartile i.e. [tex]\rm Q_1[/tex] = 15

Similarly, the upper set of data is:

18, 19, 20, 20, 21

the upper quartile i.e. [tex]\rm Q_3[/tex]  is the median of the upper set of data.

upper quartile i.e. [tex]\rm Q_3[/tex] = 20

Also, the interquartile range is:

[tex]\rm Q_3-Q_1=20-15=5[/tex]

The maximum value of the set is 21.

Range = Maximum value-Minimum value =21 - 4 = 17

As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.

After removing the outlier the data set is:

14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the set =14

The maximum value of set =21

Range = Maximum value-Minimum value =21-14 = 7

Hence, Both the median and the range changed.

To know more about median and range click the link given below.

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Answer:

choose D

Step-by-step explanation:

x/(x²+3x+2) - 1/[(x+2)(x+1)]

x² + 3x + 2 = x² + 2x + x + 2

= x(x + 2) + (x + 2)

= (x + 2)(x + 1)

= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]

= (x-1)/[(x+2)(x+1)]

= (x-1)/(x²+3x+2)

Answer:

9.165

Step-by-step explanation:

Pythagorean Theorem implies a^2 + b^2 =c^2

AC= hypotenus

AB= 4

CB= ?

10^2=4^2+CB^2

CB= √10^2-4^2

    = 9.165

The volume of the prism which is filled with 135 cubes is 5 cubic feet.

What is the Volume of Cube ?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.

Here Prism is filled with 135 cubes.

Volume of prism = volume of 135 cubes

                            = 135 X side X side X side

                            = 135 X 1/3 X 1/3 X 1/3

                            = 135 / 27

Volume of prism = 5 cu. feet

Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.

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Let total data be x GB

then

4% of x = 1.2GB

4% × x = 1.2

0.04 x = 1.2

x = 1.2 / 0.04

x = 120 ÷ 4 = 30 GB

Answer:

BC ≈ 18.7

Step-by-step explanation:

using the sine rule in Δ ABC

[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AC}{sinB}[/tex] ( substitute values )

[tex]\frac{BC}{sin67}[/tex] = [tex]\frac{20}{sin80}[/tex] ( cross- multiply )

BC × sin80° = 20 × sin67° ( divide both sides by sin80° )

BC = [tex]\frac{20sin67}{sin80}[/tex] ≈ 18.7 ( to the nearest tenth )

Answer:

7.319 x 10^-3

Step-by-step explanation:

4.56 * 10^9 / 6.23 * 10^11  = .7319 x 10^-2

Answer:

The quotient is 7.3194 times 10 to the -3 power.

Step-by-step explanation:

Got the question right. EDGE 2022.

Answer:

6x²+9x+1

Step-by-step explanation:

Check out the attached photo

Answer:

5

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Measure of an exterior Angle of a triangle is sum of two opposite interior angles of the same triangle ~

that is :

[tex]\qquad \tt \dashrightarrow \: \angle1 = 60 + 30[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle1 = 90 \degree[/tex]

So, D is the correct choice ~

Step-by-step explanation:

As the sum of all angles of triangle is 180°

and we have been given 2 angles i.e 30° and 60°

So, Third angle will be 90°

Angle 1 = 180°-90° (as the value of angle made by a straight line is 180°)

Angle 1 = 90°

You didnt put any images

Answer:

It's 1 pint

Step-by-step explanation:

If you look up how many cups are in a pint it says 2 and the liquid is filled up to the line of 2 cups

Answer:

5x+3x-2y and -2y+8x

X+y+X+y and 2(X+y)

Answer:

sqrt2/sqrt3; 1/sqrt3; sqrt5/2

Step-by-step explanation:

to solve this equation you can basically put paranthesis squared around all of the options

(sqrt2/sqrt3)^2 becomes simply 2/3

(1/sqrt3)^2 becomes simply 1/3

(pi/3)^2 becomes a decimal that is not rational

[(sqrt5)/2]^2 becomes simply 5/4

the first, second, anad last are all rational

The area of the triangle is the half of the product of base and height then the correct option is A.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Points A, B, and C are midpoints of the sides of the right triangle DEF.

Then the area of the triangle is given as

Area of the triangle = half of the product of base and height

That can be written as

[tex]\rm Area = \dfrac{1}{2} \times b \times h[/tex]

Thus, the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

B,C,D

Step-by-step explanation:

Answer:

315°

Step-by-step explanation:

Finding m∡DHE

Answer:

m∡DHE = 315°

Step-by-step explanation:

Angles around a point always add up to 360°.

⇒ m∡DHE = 360° - m∡ED

                  = 360° - 45°

                  = 315°

Answer:

  2 3/4 miles

Step-by-step explanation:

Remaining miles are found by subtracting miles already traveled from the number that need to be traveled.

__

12 1/2 - 2 1/4 - 7 1/2

= (12 1/2 -7 1/2) -2 1/4

= 5 -2 1/4 = 2 3/4

The letter traveled 2 3/4 miles on Wednesday to reach its destination.

Answer:B 73

Step-by-step explanation: