A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 ∙ 3x models the number of bacteria after x hours. Estimate when there will be about 550 bacteria in the culture.

Answer:

The answer is 14

Step-by-step explanation:

Point A to Point B is 3

Point C to Point D is 3

Point B to Point c is 4

Point D to point A is 4.

Add all those together to get 14

Answer:

the answer is 14

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The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.

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Explanation:

Check out the diagram below. I have added x and y such that

x = base angle

y = vertex angle (located adjacent to center of polygon)

The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.

The two base angles x must add with the vertex angle y to get 180

(angle1)+(angle2)+(angle3) = 180

x+x+y = 180

2x+y = 180

2x+72 = 180

2x = 180-72

2x = 108

This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.

Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.

Answer:

x=5, y=1

Step-by-step explanation:

First, you need to multiply both sides of the second equation by -1 so that you can proceed the elimination process. Like this...

x + y = 6

x - 4y = 1

x + y = 6

-x + 4y =- 1

Now you can eliminate the x variable by addition process. It becomes like this...

x + y = 6

-x + 4y =- 1

5y=5

y = 1

Now, let's proceed substitution process. You can substitute the value of y into any equation that you want. I want to put the value of y into the equation of x + y = 6 .

When y=1, substitute into x + y = 6

x + 1 = 6

x = 6-1

x = 5

Hooray! Now you have the value of x and y.

x= 1 and y=5.

I hope you will understand my explanation. Bye!

In general and here, when we have an object with a constant cross section of area A, the volume V = A L, where L is the length.

L = V / A = 330 / 55 = 6 cm

Answer: 6 cm

I think it is C. Pls comment right or wrong!

The equation 2(x + 5) = 40 is true for the value x = 15 which is the correct answer would be option (C)

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To determine the required equation which is true for the value x = 15

We have to simplify the given equations and solve for x.

A. 2(x + 3) = 40

⇒ 2x + 6 = 40

⇒ 2x = 40 - 6

⇒ 2x = 34

⇒ x = 34/2

⇒ x = 17

B. 2(x − 5) = 30

⇒ 2x - 10 = 30

⇒ 2x = 30 + 10

⇒ 2x = 40

⇒ x = 20

C. 2(x + 5) = 40

⇒ 2x + 10 = 40

⇒ 2x = 40 - 10

⇒ 2x = 30

⇒ x  = 15

Hence, the equation 2(x + 5) = 40 is true for the value x = 15 which is the correct answer would be option (C)

Learn more about the equations here:

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Answer:

A and C

Step-by-step explanation:

The line is at 3, and no number is within reach except 3. So the answer is A and C.

Answer:

If the scale on a map is 5in : 3 miles, it means every 3 inches is 5 miles. 6 inches is 10 miles and so on.

Answer:

a) 60,000 cubic cm

b)600,000 cubic mm

c)60 L

Step-by-step explanation

To find the volume, you would have to multiply the height length and width.

50*40*30 and that equals to 60,000 cm. 10 mm=1cm.

So 60,000*10=b, b=600,000,  1,000 cm=1 L

60,000/1,000=L, L=60

Hope this helps. If it does, please rate 5 stars!

Answer:

U to V: 5/2

V to U: 2/5

Step-by-step explanation:

Simplify the ratio of the corresponding sides.

20 in to 8 in

25 in to 10 in

30 in to 12 in

Answer:

(10, 17)

Step-by-step explanation:

It might be easier to explain with a picture or drawing, but I am new to this, so I would try using words.

Assuming the fruit market is on that straight line from Tia's home to Lei's, So we look at both address (coordinates)

From Tia to Lei, x coordinate is from 4 to 12, that's increased by 8, divide by 4, one step is 2.

y coordinate is from 8 to 20, an increase of 12, divide by 4 again, one step is 3.

The fruit market is at 3/4 distance, so 3 steps, on both x and y coordinates.

x: 4+6 = 10

y: 8+9=17

The fruit market is at point (10,17)

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The point (x,y) which divides the segment AB with endpoints at A(x₁,y₁) and B(x₂,y₂) in ratio m:n has cordinates

[tex]x= \dfrac{nx_1+nx_2}{m+n}[/tex]

[tex]y= \dfrac{ny_1+ny_2}{m+n}[/tex]

Tia is at P(4, 8) and Lei is at Q(12, 20).

The fruit market (F) is three-fourths the distance from Tia’s home to Lei's home, then PM : PQ = 3:4 or PM : MQ = 3:1

So,

[tex]x= \dfrac{1.4+3.12}{3+1} = \dfrac{4+36}{4} = \dfrac{40}{4} = 10 \\y= \dfrac{1.8+3.20}{3+1} = \dfrac{8+60}{4} = \dfrac{68}{4} = 17[/tex]

Hence, the fruit market is at point (10,17) which means it is placed at the corner of 10th Street and 17th Avenue.

Learn more about graph here:

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Answer:

8000 lei

Step-by-step explanation:

Ni se spune la întrebarea de mai sus să găsim suma depusă în bancă.

Ni se oferă următoarele valori

R = rata = 2% = 0.02

T = Timp = 1 an

Suma totală = A = 8160 lei

Trebuie să găsim principalul (suma depusă la bancă).

Formula de utilizat este dată ca:

P (Principal) = A / (1 + rt)

P = 8160 lei / 1 + 0.02 × 1

P = 8160 lei / 1.02

P = 8000 lei

Prin urmare, suma depusă în bancă este de 8000 de lei.

Answer:

the two percent of 8160 its 163.2 so its 7996.8

Step-by-step explanation:

Answer:

last option

Step-by-step explanation:

Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

Answer:

option D

Step-by-step explanation:

Answer:

8 : 1

Step-by-step explanation:

From the above question, we are given the following parameters

Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B.

Volume of a sphere = 4/3πr³

For Sphere A , diameter = 6

Radius = Diameter ÷ 2 = 6÷ 2 = 3

Volume of Sphere A = 4/3 × π × 3³

= 113.09733553 cubic units

Approximately = 113.1 cubic units

We were given a scale factor (k) of 2

Because we are dealing with volume, the scale factor will be cubed

In order to find the Volume of the sphere B

k³ = Volume of Sphere A/ Volume of Sphere B

2³ = 113.1 / Volume of Sphere B

Volume of Sphere B = 113.1/ 2³

= 14.1375 cubic units.

The ration of the Volume of Sphere A to Sphere B

Sphere A: Sphere B

113.1 : 14.14

= 8: 1

Answer:

1:8

Step-by-step explanation:

Took the test and got it right trust

Answer:

The diagram shows a playground which is a combination

of three different shapes. TSVU is a square, SRQV is a

trapezium and PQVU is a parallelogram. Calculate the

total area of the playground

Answer:

30

Step-by-step explanation:

4/5 (x-20)=8

4/5x-4/5*20=8

4/5x-16=8

4/5x=24

x=(24*5)/4

x=30

hope it helps..

Answer:

The triangle has two sides that are equivalent and the angle where the two meet are also equivalent.

In other words, two sides and the angle between them are congruent.

Hope this helps, if it does please give me brainliest, it will help me a lot :)

Have a good day

Answer:

A on edge

Step-by-step explanation:

Answer:

A, B, C

Step-by-step explanation:

x is in the intersection of sets B and C, in set B, in set C, in the union of sets B and C, in the union of sets A and C

Answer: A, B, C

Answer:

[tex]\huge\boxed{x\in\bigg(A\cup C\bigg)}[/tex]

[tex]\huge\boxed{x\in\bigg(B\cup C\bigg)}\\\\\boxed{x\in\bigg(B\cap C\bigg)}[/tex]

Step-by-step explanation:

Look at the picture

Answer:

A:

9×1=9

9×2=18

9×3=27

9×4=36

9×5=45

9×6=54

9×7=63

9×8=72

9×9=81

9×10=90

B:

It goes down by 1 after multiplying a bigger number.

C:

It goes up by 1 after multiplying a bigger number.

Step-by-step explanation:

hope this helps you and have a great day

Answer:

-3

Step-by-step explanation:

Well to find the common ratio we need to figure out,

what * 2/3 = -2.

To find that we do -2 ÷ 2/3

= -3

To check -2 * -3 should be 6 which it is.

Thus,

the common ratio is -3.

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Common ratio = 2nd term ÷ 1 st term

                        = -2 ÷ 2/3

                       = [tex]-2 * \frac{3}{2}\\\\[/tex]

                        = -3

Answer: False for sure

Answer:

[tex]\boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex]-2<6[/tex]

-2 is less than 6.

6 is a greater value than -2.

Answer:

x=1 and y=6

Step-by-step explanation:

10x+2y=22

3x-4y=-21

First at all, you have to multiply both sides of this equation of 10x+2y=22, like this,

2(10x+2y)=2*22

*Put the 2 for the both sides.

Then, expand them.

20x+4y=44

When we have 20x+4y=44, we can eliminate with another equation.

20x+4y=44

3x-4y=-21

So, the first equation has +4y and the second equation has -4y, so we can use elimination method to eliminate one variable.

This time we can sum these equation to get one variable to get the answer easily. Like this...

20x+4y=44

3x-4y=-21

to become...

23x=23

x=23/23

x=1

When we get the equation like this, we can divide 23 by 23, so we can get the value of x. So, the value of x is 1.

When we know x is equal to 1, we can do the last part substitute x=1 into the second equation which is 3x-4y=-21.

The following steps is like this:

Substitute x=1 into 3x-4y=-21,

3(1)-4y= -21

3-4y= -21

Move the 3 to the another side, like this;

-4y= -21-3

-4y= -24

y= -24/ -4

y=6

*Be careful! When you calculate -24/-4 , you have to know how to eliminate the negative sign. (-) / (-) = +

Negative number divided by negative number is equal to positive number.

So, here we go! the value of x is 1 and the value of y is 6.

That is my solution and explanation from me. I hope you can understand. Bye!

Step-by-step explanation:

Shape A is flipped horizontally onto the x-axis

The new shape is mirroring Shape A

Answer:

y-x

Step-by-step explanation:

I assumed you meant that you wanted me to rewrite the expression without the absolute value signs. Since the absolute value of a number will be the same whichever way you place the numbers, you can rewrite |x-y| as y-x, as x is less than y.

Answer:

Hope this helps. If not let me know and I'll explain it better

Answer:

x = 121°

Step-by-step explanation:

The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.

Answer:

140 toy cars

Step-by-step explanation:

The ratio of Ed's toy car to Pete's toy car is initially given as 5:2

Ed gave Pete a total number of 30 cars

Let x represent the greatest common factor that exists between both number

Number of Ed's car is represented as 5x

Number of Pete car is represented as 2x

Since they each have an equal number of cars which is 30 then we can solve for x as follows

5x-30=2x+30

Collect the like terms

5x-2x= 30+30

3x= 60

Divide both sides by the coefficient of x which is 3

3x/3=60/3

x=20

Ed's car is 5x, we substitute 20 for x

5(20)

= 100 cars

Pete car is 2x,we substitute 20 for x

2(20)

= 40 cars

Therefore, the total number of cars can be calculated as follows

= 100+40

= 140 toy cars

Hence they have 140 toy cars altogether

Answer:

140

Step-by-step explanation:

Answer:

  4

Step-by-step explanation:

f(-1) = (-1)^2 +1 = 1 + 1 = 2

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

f(-1)g(-1) = (2)(2) = 4

Answer:

Step-by-step explanation:

[tex]tan^{-1} (\frac{\sqrt{3} }{3} )=x\\tan x=\frac{\sqrt{3} }{3} =tan (\frac{\pi}{6} )\\x=\frac{\pi}{6}[/tex]