A scientist is studying the growth of anew species of bacteria. Looking back on his meticulous records, the scientist sees that his starting population was 50 bacteria. Five hours later, he measured 550 bacteria. What is the population of the bacteria after 10 hours, after 20 hours?

Fraction of students taking mandarin: 3/40

Hope it helps.

Answer:

y = 2/3x - 7.

Step-by-step explanation:

Using the point-slope form of a straight line:

y - y1 = m (x - x1) so we have

y -(-5) ) = 2/3 (x - 3)

y + 5 = 2/3x - 2

y = 2/3x - 7.

Answer:

y = 2/3x -7

Step-by-step explanation:

We know the equation of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/3 x +b

Substitute the point into the equation

-5 = 2/3 (3)+b

-5 = 2+b

Subtract 2 from each side

-7 = b

The equation of the line

y = 2/3x -7

Answer:

x = -7 , x = 2

Step-by-step explanation:

[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]

Answer:

x = - 7, x = 2

Step-by-step explanation:

Solve by factoring , that is

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

Answer:

Option C

Step-by-step explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 * [tex]\sqrt{3 *3*2c}[/tex] + 7 * [tex]\sqrt{3 *3*2c}[/tex]

5 * 3 *[tex]\sqrt{2c}[/tex] + 7 * 3  *[tex]\sqrt{2c}[/tex]

15  *[tex]\sqrt{2c}[/tex] + 21 *[tex]\sqrt{2c}[/tex]

36 *[tex]\sqrt{2c}[/tex]

12 [3]*[tex]\sqrt{2c}[/tex]

Option C is correct

Answer:

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]

Set up equation

Step 1: Simplify

[tex] \frac{6i}{5 - i} [/tex]

Step 2:Multiply by conjugate

[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]

Step 3:Simplify

[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]

We can reduce this and we must make the imaginary number and real number serpate equations.

[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]

Reduce each by 2

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Answer:

1. Electrons

2. amphere

3. closed

4. positive to negative

5.open

Answer:

C: (12x - 5) ( 2x - 1)

Step-by-step explanation:

12 x ( 2x- 1 ) -5  (2x - 1 )

= (12x - 5 ) ( 2x -1)

Hope it helps !

Answer:

12x-5 2x-1

Step-by-step explanation:

This is the correct answer. Answer C

Answer:

9. 1:53

10. 4:17

11. 2:52

12. 3:35

This should be it have a great day buddy!

Answer:

14.21267

Step-by-step explanation:

Answer:

5 loaves

Step-by-step explanation:

13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.

Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:

13 1/3 = 40/3

2 2/3 = 8/3

40/3 / 8/3

When dividing by a fraction flip the fraction over and multiply

40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5

She made 5 loaves of bread.

Answer:

4

Step-by-step explanation:

The staffs takes 7.2 hours to clean 27 rooms

Therefore in one hour, the number of rooms cleaned is

= 7.2/27

= 0.2666

The number of hours required to 15 rooms is

= 0.2666×15

= 4 hours

Mean=all added together divide by total amount

median order them all and the middle number

mode the most common number

hope this helps you find out the answer

Answer:

2

Step-by-step explanation:

Because 10/5 is 2

The scale factor for the given distances will be 2. The correct option is 2.

To determine the scale factor, we need to compare the distances between corresponding points in two similar figures. In this case, the distances between points D and D' in one figure and points A and D in the other figure are provided.

The scale factor is determined by dividing the distance between corresponding points in the two figures. Therefore, the scale factor can be calculated by dividing the distance from D to D' (10) by the distance from A to D (5):

Scale factor = Distance from D to D' / Distance from A to D = 10 / 5 = 2

Therefore, the correct answer is option 2). The scale factor is 2.

To know more about scale factors follow

https://brainly.com/question/30215044

#SPJ2

Answer:

[tex]4\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{96}[/tex]

[tex]\sqrt{2*2*2*2*2*3}[/tex]

[tex]2*2\sqrt{2*3}[/tex]

[tex]4\sqrt{6}[/tex]

Answer:

(-4,8)

Step-by-step explanation:

    x + 4y = 28

+  -x + y = 12

5y = 40

y = 8

-x + (8) = 12

-x + 8 = 12

-x = 4

x = -4

Answer to this equation:

4 3/4

Answer:

4.75

Step-by-step explanation:

This is what I got. have a nice day:)

Answer:

5.1

Step-by-step explanation:

a² + b² = c²

1² + 5² = c²

1 + 25 = c²

26 = c²

c = 5.1

Answer:

The constant of variation is k =

3/8

When a = 1 and b = 5, what is the value of c?

3/40

Answer:

[tex] \frac{1}{5} [/tex]

n(S) = 5

n(6) =1

So, P(6)= n(6)/n(S)

=1/5

Answer:

[tex]a = - \frac{179}{171} \ , \ b = - \frac{20 \sqrt7}{171}\\\\[/tex]

Step-by-step explanation:

[tex]\frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} = \frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} \times \frac{2 + 5 \sqrt7}{2 + 5 \sqrt7}[/tex]                    [tex][ \ rationalize \ the \ denominator \ ][/tex]

         [tex]=\frac{(2 + 5 \sqrt7)^2}{(2)^2 -( 5 \sqrt7)^2}[/tex]                               [tex][ \ (a - b)(a+b) = a^2 - b^2 \ ][/tex]

        [tex]=\frac{4 + 25(7) + 20 \sqrt7}{4 - 25(7)}\\\\= \frac{4 + 175 + 20 \sqrt7}{4 - 175} \\\\= \frac{179 + 20 \sqrt7}{- 171} \\\\= \frac{179}{ -171} + \frac{20 \sqrt7}{-171}\\\\= - \frac{179}{ 171} - \frac{20 \sqrt7}{171}\\\\[/tex]          

Answer:

What? Your not even done.

Step-by-step explanation:

[tex]y \: \alpha \: x[/tex]

Let c be the constant

[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]

[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]

Answer:

y = 4x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 16 when x = 4 , then

16 = 4k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When x = - 2 , then

y = 4 × - 2 = - 8

Answer:

[tex] x \approx \: \boxed{49.471}[/tex]

Step-by-step explanation:

[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]

Answer:

x= e^ 5 / 3 OR 49.471

Step-by-step explanation:

-5=2In (3x)=5

determine the defined range

-5+2In (3x) = 5, x>0

move the constant to the right- move the five to the right and change the sign

2In (3x)= 5+5

calculate- add them together

2In (3x)=10

divide both sides by 2

In (3x)=5

covert into exponential form ( x=e^5)

3x= e^5

divide both sides by 3

x=e^5/3 , x> 0

(check if the solution is in the defined range) which is the answer

Answer:

x=-9/10

Step-by-step explanation:

2x+8x+16=7

Step 1: Simplify both sides of the equation.

2x+8x+16=7

(2x+8x)+(16)=7(Combine Like Terms)

10x+16=7

10x+16=7

Step 2: Subtract 16 from both sides.

10x+16−16=7−16

10x=−9

Step 3: Divide both sides by 10.

10x/10

=

−9/10

x=-9/10

Answer:

x = - 4 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{7}[/tex] ( subtract 4 from both sides )

x = - 4 ± [tex]\sqrt{7}[/tex]

Then

solutions are x = - 4 - [tex]\sqrt{7}[/tex] , x = - 4 + [tex]\sqrt{7}[/tex]

Answer:

the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.

Step-by-step explanation:

According To Question,

We have Given A Right Circular Cone, Volume = 12 Litres .

Now, Let The Radius Of the base be r & the height be h .

Volume of Cone = 1/3×π×r²×h

thus, 1/3×π×r²×h=12

π×r²×h=36 → Equation. 1

Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .

Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4)  ⇔ (Put Value From Equ. 1)

V= 12/64  ⇔ 0.1875 litres of new cone volume .

Then, the volume of Frustum = 12-0.1875 = 11.8125 litres

Answer:

its the second option

Step-by-step explanation:

Answer:

y = 3x - 4

Step-by-step explanation:

x = 2:

3(2) - 4 = 2

x = 3:

3(3) - 4 = 5

x = 4:

3(4) - 4 = 8

x = 5:

3(5) - 4 = 11

Complete question is;

Drag an answer to each box to complete this paragraph proof.

Given:

<ABC and <CBD are complementary angles and M<ABC = 35°

Prove:

M<CBD = 55°

It's given that <ABC and <CBD are ________.

So, m<ABC + m<CBD = 90° using the _______.

It is also given that m<ABC = 35°

Using substitution property of equality, you have ___ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = ___

Attached is an image of both angles.

Options to drag are;

Complementary angles, supplementary angles, definition of supplementary angles, definition of complementary angles, 35°, 55°, 90°

Answer:

It's given that <ABC and <CBD are __complementary angles___.

So, m<ABC + m<CBD = 90° using the __definition of complementary angles___.

It is also given that m<ABC = 35°

Using substitution property of equality, you have _35°_ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = _55°_

Step-by-step explanation:

Now, from angle properties, we know that the Sum of 2 Complementary angles is equal to 90°.

Thus, <ABC and <CBD are complementary angles.

Then;

m<ABC + m<CBD = 90° (using the definition of complementary angles as seen above).

It is also given that m<ABC = 35°

Now, Using substitution property of equality, we will have;

35°+ m<CBD = 90°

Subtract 35° from both sides to get;

35 - 35 + m<CBD = 90 -35

m<CBD = 55°

Answer:

lot of words for a simple question about which rectangle is the same!

E and F are similar but not congruent.

Step-by-step explanation:

Answer:

The customer should pay RS 506 for a novel book costing RS 450.

Step-by-step explanation:

We are given that

Selling price of calculator, S.P=RS 756

Cost of calculator, C.P=RS 700

We have to find S.P of novel book when the cost of novel book RS 450.

Profit=S.P-C.P

Profit=756-700

Profit=RS 56

Profit of each item is equal.

Therefore, profit for novel book=RS 56

C.P of novel book=RS 450

S.P=C.P+ Profit

Using the formula

S.P=450+56

S.P=RS 506

Hence, the customer should pay RS 506 for a novel book costing RS 450.

Answer:

Triangle

Step-by-step explanation:

h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.

Basically you want to solve for the hypotenuse by using basic trig