Bacteria colonies can triple in size every 4
days. If you start with 48 bacteria
microorganisms, how large would the
colony be after 12 days?
First, complete the equation:
Future Amount = [?](1+[10]

9514 1404 393

Answer:

  √26

Step-by-step explanation:

The distance formula can help you here.

  [tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(4-(-1))^2+(2-3)^2}=\sqrt{5^2+(-1)^2}=\sqrt{25+1}\\\\d=\sqrt{\boxed{26}}[/tex]

Answer:

the answer is D. 36 fans in total minus 15 fans that rooted for the rams. Equals the amount of fans that rooted for the Patriots

Answer:

-8

Step-by-step explanation:

I answered this question a few minutes ago. Value was d = -4

So,

{-12+(-4)}/2

= (-12-4)/2

= (-16)/2

= -8

Answer:

4x+7x-9=90

11x-9+9=90+9

11x=99

x =9

measure of CBD=7x-9

=54

Answer:

Step-by-step explanation:

7x-9+4x=90 degree ( being perpendicular)

11x=90+9

x=99/11

x=9

Angle CBD=7x-9

=7*9-9

=63-9

=54 degree

#10.

If the two triangles are similar, then their sides are proportional.

EC we know immediately. If the whole side BC = 12 = BE + EC, and BE is 4, then EC = 8.

Therefore, I can say that BD / (BD + DA) = BE / (BE + EC). To solve the problem for side DA, x will be used in place of DA.

8 / (8 + x) = 4 / (4 + 8)

8 / (8 + x) = 4 / 12 || Cross-multiply

4(8 + x) = 12 * 8

32 + 4x = 96

4x = 64

x = 16

AD = 16

Then, if we know AD, we can easily find AB. AB = AD + DB. AB = 24.

Lastly, we need to find AC. All of the other lengths on the big triangle have been double that of the smaller triangle, so 6 x 2 = 12. AC = 12.

#11.

BC will be parallel to DE if the proportions are equal.

AE / AB = AD / AC

1 / 5 = 2 / 11

These fractions are not equivalent, therefore BC and DE are not parallel.

Hope this helps!! :)

Answer:

Independent- Miles traveled, Dependent- cost

Step-by-step explanation:

3dg3nuity

Answer:

I did it :D

Step-by-step explanation:

Answer:

option b is answer answer

Answer:

its B

Step-by-step explanation:

Answer:

6.73

Step-by-step explanation:

6 (whole number) 8/11 is 6.7272 approximately 6.73 (3 s.f)

the 6 whole number gives the 6.

8/11 is 0 and using the whole long division method gives 0.7272...

cause when you add zero to 8 it becomes 80 and 11 goes into 80, 7 times giving 77.

subtracting 77 from 80 gives 3 adding 0 becomes 30 and 11 into 30 is 2 giving 22

I hope this helps

Answer:

answer in pic

Step-by-step explanation:

The proof of the right-triangle is: [tex]a^{2} + b^{2}=(c)^{2}\\[/tex].

To prove that [tex]a^{2} + b^{2}=(c)^{2}\\[/tex].

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

[tex]a^{2} + b^{2}=(c)^{2}\\[/tex]

Given that:

To proof:

The proof of the right-triangle is:

[tex]a^{2} + b^{2}=(c)^{2}[/tex]

from question it is given that

c=e +f

By Pythagoras theorem, we have:

[tex]a^{2} + b^{2}=(f+ e)^{2}[/tex]

Therefore, the proof of the right-triangle is:

[tex]a^{2} + b^{2}=(c)^{2}\\[/tex]

Learn more about Pythagorean Triple here:

https://brainly.com/question/24161728

#SPJ5

Answer:925

Step-by-step explanation

Answer:

7

Step-by-step explanation:

As we can see, the sides of the bigger triangle is twice that or the smaller

Thus, we have it that for similar sides, we simply have to multiply the smaller side length by 2 to give the larger

We have this as:

2(2y + 5) = 5y + 3

4y + 10 = 5y+ 3

5y-4y = 10-3

y = 7

Answer:

A.

Step-by-step explanation:

(23 * 5) represents the total number of 6th graders.

-s represents the number of students who were absent.

(23 * 5) - s represents the number of students in the museum.

Answer: I believe that this is the answer

Answer:

32 miles

Step-by-step explanation:

Answer:

A, 1:4

Step-by-step explanation:

15:60 simplified:

3:12

1:4

Answer:

12

Step-by-step explanation:

Answer:

12............................

Step-by-step explanation:

Answer:

y = 9.8995

Step-by-step explanation:

This question requires the use of basic trigonometry.

In this problem, we know one of the sides and two of the angles.

Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.

You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.

7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.

Hope this helped!

Answer:

7:1 for length and 7:1 for width

Step-by-step explanation:

Answer:

protractor

Step-by-step explanation:

use a protractor or  an online protractor

Answer: A. Multiply the input number by 6

Step-by-step explanation: Each of these numbers are multiplied by 6. Hope this helped!

2 x 6 = 12

6 x 6 = 36

8 x 6 = 48

9 x 6 = 54

12 x 6 =72

Answer:

-42

Step-by-step explanation:

The big dog means multiply and 6*-7 equals -42 100% sure

Answer:

68%

Step-by-step explanation:

25-8=17

17/25=0.68

68%

Hope this helped :)

=========================================================

Explanation:

The sides are in the ratio 4:7:10

This scales up to 4x:7x:10x showing that the sides are 4x, 7x and 10x. The variable x is some positive real number.

Add up the sides and set this equal to the given perimeter 105. Solve for x.

4x+7x+10x = 105

21x = 105

x = 105/21

x = 5

This value is then plugged into each side

The triangle has sides of 20 cm, 35 cm, and 50 cm.

Note how the ratio 20:35:50 reduces to 4:7:10 after dividing all three parts by the GCF 5. Also, we can see that 20+35+50 = 105 to fully confirm our answer.

9514 1404 393

Answer:

  c = 15 cm

Step-by-step explanation:

The congruent diagonals are perpendicular bisectors of each other, so ∆WVX is an isosceles right triangle. The length of c is √2 times the length WV, so is ...

  c = (√2)(10.6 cm) ≈ 15.0 cm

Answer:

I think no A. x = -1/2 ,x = -4

Answer:

A diameter is a chord.

Step-by-step explanation:

A diameter is a chord.It is the longest chord.

Answer:

x=5 and y=6

Step-by-step explanation:

Step: Solve 3x−7y=−27 for x:

3x−7y=−27

3x−7y+7y=−27+7y

3x=7y−27

[tex]\frac{3x}{3} =\frac{7y-27}{3}[/tex]

[tex]x=\frac{7}{3} y-9[/tex]

Step: Substitute   [tex]\frac{7}{3}y-9[/tex] for x in 6x−5y=0:

6x−5y=0

[tex]6(\frac{7}{3}-9)-5y=0[/tex]

9y−54=0

9y−54+54=0+54

9y=54

[tex]\frac{9y}{9} =\frac{54}{9}[/tex]

Therefore y=6.

Step: Substitute 6 for y in x= [tex]\frac{7}{3} y-9[/tex]:

[tex]x=\frac{7}{3} y-9[/tex]

[tex]x=\frac{7}{3}(6)-9[/tex]

Therefore x= 5.

x= 5 and y= 6

Hope this helped! :)

Answer:

12.4 cm

Step-by-step explanation:

Use the sphere volume formula, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

Plug in the volume and solve for r, the radius:

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

7961 = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

1900.55 = r³

12.39 = r

So, the radius of the sphere is approximately 12.4 cm