-3(x+2)^2-4=5 solve by factoring

Answers

Answer 1

Answer: To solve the equation -3(x+2)^2-4 = 5 by factoring, we can follow these steps:

Move all the terms to one side of the equation by adding 3(x+2)^2 and 4 to both sides: -3(x+2)^2-4+3(x+2)^2+4 = 5+3(x+2)^2

Combine like terms: 3(x+2)^2 = 5

Take the square root of both sides of the equation: (x+2)^2 = 5/3

Isolate x+2 on one side of the equation by taking the square root of both sides: x+2 = ±sqrt(5/3)

Solve for x by subtracting 2 from both sides of the equation: x = ±sqrt(5/3) - 2

So the solutions to the equation -3(x+2)^2-4 = 5 by factoring is x = ±sqrt(5/3) - 2.

It's important to note that the square root of a fraction is a positive and negative solution, so the solutions are x = sqrt(5/3) - 2 and x = -sqrt(5/3) - 2

Step-by-step explanation:


Related Questions

Simplify the expression 14.33z - 3 - (6 - 5.23z).

Answers

Answer: 19.56z - 9

Step-by-step explanation: Hello!  Here are the steps to solve this problem:

14.33z - 3 - (6 - 5.23z).  

Firstly, you have to use the distributive property and distribute -1 to the parentheses using PEMDAS, Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

14.33z - 3 + -1(6 - 5.23z)
14.33z - 3 + (-6 + 5.23z)
14.33z + (-3) + (-6) + (5.23z)
14.33z + (5.23z) + (-3) + (-6)
(14.33z + 5.23z) + (-3 - 6)
19.56z + (-3 - 6)

19.56z + (-9)
19.56z - 9.

Find the difference (-3x+8)-(x+10)

Answers

Answer: After doing the problem I got,  -4x-2

The population of Sasquatch in a certain county can be modeled by the function P(t) = 140t t + 14 , where t = 0 represents the year 1803. What is the applied domain of P? Find P(0) and indicate the proper units. (Round your answer to the nearest whole number. ) Find P(250) and indicate the proper units. (Round your answer to the nearest whole number. )

Answers

The interpret of P(0) is 0 and P(250) = 132.58. The domain of P is [0, ∞]

The population of Sasquatch in Portage County can be modeled by the function P(t) = 140t/(t + 14) where t represents the number of years since 1803.

We have to interpret P(0).

To interpret P(0) we put t = 0 in the function then solve the function.

The function is:

P(t) = 140t/(t + 14)

Putting t = 0

P(0) = (140 × 0)/(0 + 14)

P(0) = 0/14

P(0) = 0

Now we interpret P(250) by putting t = 250.

P(250) = (140 × 250)/(250 + 14)

P(250) = 35,000/264

P(250) = 132.58

The domain of the time cannot be negative. So the domain of P is [0, ∞].

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The complete question is:

The population of Sasquatch in Portage County can be modeled by the function P(t) = 140t/(t + 14) where t represents the number of years since 1803. Find and interpret P(0) and P(250). Discuss with your classmates what the applied domain and range of P should be.

Temp (in "C) S -40 30 20 10 A. 10 O C. D. Ch 20 Time (in minutes) The temperature graph of freshly baked cookies after they are removed from the oven is shown in the graph. With the help of the tangent shown in the graph, estimate the rate of change of the temperature of the cookies after 20 minutes. B. -0.33 °C/minute -0.55 °C/minute 0.33 °C/minute 0.55 °C/minute 30 40 X​

Answers

From the graph, it looks like the tangent line at 20 minutes has a slope that is close to 0.55°C/minute. So, the estimate of the rate of change of the temperature of the cookies after 20 minutes is approximately 0.55°C/minute.

What is rate of change?With the help of the tangent shown in the graph, it is estimated that the rate of change of the temperature of the cookies after 20 minutes is 0.55 °C/minute.This indicates that the temperature of the cookies is dropping at a rapid rate. After 40 minutes, the temperature has dropped from 40 °C to 30 °C, which shows a decrease of 10 °C in temperature.This rate of decrease in temperature is significant and it ensures that the cookies are cooked properly while also retaining their texture and flavor.This rapid decrease in temperature is a testament to the quality of the freshly baked cookies.This is called a rate of change. It is the rate at which the temperature of the cookies changes over time after being removed from the oven. The graph shows the temperature of the cookies over time in the form of a curve. The tangent to the curve at the point 20 minutes shows the rate of change of the temperature of the cookies.The tangent is sloping downwards, which implies that the temperature of the cookies is decreasing at a rate of 0.55°C per minute. This rate of change is referred to as the negative rate of change since it is a decrease in temperature over time.

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Sammy wants to know what percent of students at her high school have a driver’s license. She surveys all students in her statistics class and finds that 68% of the students in her sample have a driver’s license.

What type of sample did Sammy obtain?

Explain why this sampling method is biased. Is 68% likely to be greater than or less than the percent of all students at her high school who have a driver’s license?

Explain how Sammy could avoid the bias described in part (b)

Answers

Sammy obtained a convenient sample.

The sampling method is biased because the students in the statistics class are not representative of the entire high school population. The sample only includes the students in one particular class and does not account for the experiences or characteristics of other students in the school.

68% is likely to be greater than the percent of all students at the high school who have a driver's license.

To avoid the bias, Sammy could use a more representative sample, such as a simple random sample or a stratified sample, to ensure that the sample includes a diverse group of students from various backgrounds, classes, and demographics. This would give a more accurate representation of the experiences and characteristics of the entire high school population.

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Write this polynomial in descending order:
Photo Below

Answers

The polynomial in descending order is

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

-4[tex]x^5[/tex] + 4x³ + [tex]x^7[/tex] - 10 + 2[tex]x^4[/tex]

Arranging in descending order means arranging the terms in their descending order of power.

Now,

[tex]x^7[/tex] > [tex]x^5[/tex] > [tex]x^4[/tex] > x³

So,

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

Thus,

The polynomial is:

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

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solve. 10) what are the dimensions of a right triangle with a 5 inch hypotenuse and an area of 6 square inches?

Answers

Answer:

The dimensions are 3, 4 and 5 inches.

Step-by-step explanation:

Area = 1/2 * height * base

6 = 1/2 * h * b

h * b = 12.

As the hypotenuse is 5 inches long

H^2 + B^2 = 5^2

From the third line: h = 12/b, so we have
(12/b)^2 + b^2 = 25

144/b^2 + b^2 = 25

144 + b^4 = 25b^2

b^4 - 25b^2 + 144 = 0

Let B = b^2, so

B^2 - 25B + 144 = 0

(B - 16)(B - 9) = 0

B = 16, 9

So, b = 4, 3

h = 12/b

= 3 , 4.

how many different paths from a to b are possible if each path must avoid the point with the circle around it?

Answers

This depends on the number of paths that exist between point a and point b. If there are more than one path, then the number of paths that avoid the point with the surrounding circle will be one less than the total number of paths.

The number of paths from point a to point b that avoid the point with the surrounding circle will depend on the total number of paths between the two points. If there are multiple paths between the two points, then the number of paths that avoid the point with the circle will be one less than the total number of paths.

For example, if there are three paths between a and b, then two of those paths will avoid the point with the circle.

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Write an equation of the line that passes through a pair of points:
On a coordinate plane, a line goes through (0, 2) and (2, 0).
a.
y = x + 3
c.
y = -x + 2
b.
y = x - 3
d.
y = -x - 2

Answers

Answer: its d

Step-by-step explanation:

Answer:

The answer is C:

y = -x + 2

add brainliest please.

Monomial of 9p^3 and 4p

Answers

Answer: A monomial is a polynomial with only one term. So 9p^3 and 4p are monomials.

9p^3 is a monomial with coefficient 9 and exponent 3 in the variable p.

4p is a monomial with coefficient 4 and exponent 1 in the variable p.

Step-by-step explanation:

For the translation​ below, give the vertices of ABC

Answers

Answer:

see explanation

Step-by-step explanation:

a translation [tex]T_{(-5,-4)}[/tex]

means subtract 5 from the original x- coordinate and subtract 4 from the original y- coordinate.

A (2, - 1 ) → A' (2 - 5, - 1 - 4 ) → A' (- 3, - 5 )

B (- 4, - 2 ) → B' (- 4 - 5, - 2 - 4 ) → B' (- 9, - 6 )

C (3, 2 ) → C' (3 - 5, 2 - 4 ) → C' (- 2, - 2 )

Amadou i going to invet $11,000 and leave it in an account for 9 year. Auming the interet i compounded continuouly, what interet rate, to the nearet tenth of a percent, would be required in order for Amadou to end up with $14,000?

Answers

The required interest rate would be 6.9% to the nearest tenth of a percent.

We can use the formula A = P(1+r/n)^nt, where A is the amount of money at the end of the investment, P is the principal, r is the interest rate, n is the number of times the interest is compounded, and t is the time period.

In this case: A = $14,000, P = $11,000, n = 1 (continuous compounding), and t = 9.

Plugging these values into the percent formula, we get: 14,000 = 11,000(1+r)^9. Solving for r, we get: r = 0.069 or 6.9%.

We can use the formula A = P(1+r/n)^nt, where A is the amount of money at the end of the investment, P is the principal, r is the interest rate, n is the number of times the interest is compounded, and t is the time period.

In this case: A = $14,000, P = $11,000, n = 1 (continuous compounding), and t = 9.

Plugging these values into the formula, we get: 14,000 = 11,000(1+r)^9. Solving for r, we get: r = 0.069 or 6.9%.

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Quadrilateral U is a scaled copy of quadrilateral T.


What scale factor takes quadrilateral T to quadrilateral U?

Answers

The scale factor that takes quadrilateral T to quadrilateral U would be = 1.6

What is a scale factor?

A scale factor is defined as the factor that is used to creat a similar shape of an object with a different dimension.

The formula that is used for the new object = original object × scale factor

The original object = quadrilateral T

The new object = quadrilateral U.

The scale factor the was used to form U using the length of the quadrilateral as 16;

16 = 10 * Scale factor

This gives

Scale factor = 16/10

Scale factor = 1.6

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A composite figure is shown.

A five-sided figure with two parallel bases. The top one is 4 inches. The vertical height between these bases is 2.3 inches. That vertical height intersects the bottom base, leaving 2.5 inches between it and the vertex to the left. The side on the right is the longest at 5.2 inches. There is a horizontal line connecting the vertex of the bottom base to the 5.2-inch side and that line is 3 inches.

Which of the following represents the total area of the figure?

Answers

The total area of the figure is 14.35 square inches

How to determine the total area of the figure?

The six-sided figure is not given, however we can deduce the following parameters from the question:

The shape is made of a triangle and a trapezoid

The side lengths derived from the question are:

The triangle on top:

base: 4 inches and height: 2.3 inches

The trapezoid at the bottom:

Parallel sides: 2.5 inches and 4 inches with a height of 3 inches

So, we have the total area of the figure to be

Area of figure = 1/2 * 4 * 2.3 + 1/2 * (2.5 + 4) * 3

Area of figure = 14.35

Hence, the total area is 14.35 square inches

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Answer:

Step-by-step explanation:

dddcdcdcdc its d

The term glycol ____
indicates a lack of glucose.

Answers

Answer:The term glycol does not indicate a lack of glucose.

Step-by-step explanation:The term glycol does not indicate a lack of glucose, it refers to a specific class of organic compounds which are characterized by having two hydroxyl groups (-OH) on adjacent carbon atoms. Common examples include ethylene glycol and propylene glycol which are used in a variety of industrial and commercial applications such as antifreeze, coolants, and solvents.

Answer:

Glycopenia

Step-by-step explanation:

This is where the body lacks or shortage of glucose in the body which is properly needed.

Find the area of shaded region?
Please help me!!!!​

Answers

The are of shade part of semi-circle is 75.36 cm^2.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Now,

Area of the shaded region=area of large semicircle-2*area of small semicircles

radius for large semicircle=7cm

radius for small semicircle=3.5cm

Therefore,

         Area of the shaded region=πR^2-2*πr^2

                                        =3.14(7^2-2*3.5^2)

                                         =3.14*(49-25)

                                         =3.14*24

                    Area of the shaded region =75.36 cm^2

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...........................

Answers

Answer: 25.90

Step-by-step explanation:

Answer:

y = 57.2 - 7.15x

Step-by-step explanation:

Let y represent the number of gigabytes left, and let x = number of games.

Originally, y = 57.2.

Each game will occupy 57.2/8 gigabytes = 7.15 gigabytes.

x games occupy 7.15x gigabytes, so for x games loaded on his computer,  the gigabytes left go down by 7.15x.

The equation is

y = 57.2 - 7.15x

I'LL DO ANYTHING!! PLEASE

Answers

The original length is 250 meters and the scale drawing width is 0.67 cm

The original length of the land

From the question (see attachment), we have the following parameters that can be used in our computation:

Scale length = 0.5 meters

So, we have

Original length = 0.5/(1/500)

Evaluate

Original length = 250

This means that the original length is 250 meters

The scale drawing width

Here, we have

Scale drawing width = 335 * 1/500

Scale drawing width = 0.67 cm

Hence, the scale drawing width is 0.67 cm

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the area of trapezoid $abcd$ is $80$. one base is $12$ units longer than the other, and the height of the trapezoid is $5$. find the length of the median of the trapezoid.

Answers

The trapezoid abcd median is 16 lengths long.

Regarding the query,

Considering that,

The trapezoid's area is equal to 80,

The trapezoid abcd is 5 inches tall.

Let a be the base of the trapezoid abcd.

So, b = a + 12 ,

In the formula Area of the trapezoid = A =(a+b)h/2, the value is substituted.

(a + a + 12)5/2 = 80

(2a + 12)5 = 160

2a + 12 = 160/5

2a + 12 = 32

2a =32 - 12

2a = 20

a = 20/2

a = 10 units

additional base is 10 + 12 = 22 units.

Therefore, the median's length will be equal to (10 + 22)/2.

= 32/2 = 16 units

As a result, the median's length is 16.

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Can I get help on this question ?

Answers

The solution of the expression is 3m-5.

How to simplify the equation?

Basic Guidelines and Procedures for Condensing Any Algebraic Expression

By multiplying factors, remove the parentheses and brackets.If the terms have exponents, you should eliminate grouping using the exponent rule.Add or subtract coefficients to combine similar terms.Incorporate the constants.

step1:

(6m² -13m+5)/(2m-1): 3m-5

6m²  -13m+5/2m-1

factor 6m² -13m+5 : (2m-1) (3m-5)

=(2m-1) (3m-5)/2m-1

step2:

cancel the common factor 2m-1

=3m-5

The solution of the expression is 3m-5

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Jose has scored 320 points on his math tests so far this semester. To get an A for the semester, he must

score at least 389 points.

Part 1 out of 2

Enter an inequality to find the minimum number of points he must score on the remaining tests in order to

get an A. Let n represent the number of points Jose needs to score on the remaining tests.

The inequality is

+ n (select)


HELP ME WAAKAIAKAKAKAK

Answers

The inequality that represents the minimum number of points he must score on the remaining tests in order to get an A is 320 + n ≥ 389, n ≥ 69, where n is the number of points.

When we use ≥ symbol, as at least means greater than or equal to.

320 + n ≥ 389

Subtracting 320 on both the sides,

n ≥ 69,

n represents the score he must receive on the remaining tests. Then n + 320 represents his total score for the semester.

Thus, the required inequality is n ≥ 69, which means that n is the minimum scored points to get A.

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Alg Fndins 1 A
Order of Operations
Evaluate each expression.
(Help me please)

Answers

So I’m algebra the key is to evaluate one part of equation at a time. So , You take you 130 degree angle 130-5x +-21

What is the equation of the line that passes through the point (−4,8) and has a slope of −1?

Answers

Answer:

y - 8 = -1 (x + 4)

Step-by-step explanation:

I don't know if your suppose to solve it but i'll do it anyway

y - 8 = -1 (x+4)

y - 8 = -1x - 4

y - 8 +8 = -1x -4 +8

y = -1x + 4

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-4)}) \implies y -8= -1 (x +4) \\\\\\ y-8=-x-4\implies {\Large \begin{array}{llll} y=-x+4 \end{array}}[/tex]

An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

Answers

The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

•What turtle won the race?
•How long did the race take to complete?
•What speed was the Blue turtle traveling from 6-13 hours?
•Which turtle maintained a consistent speed through the entire race?

Answers

The time that it took to complete the race is given as follows: 16 hours.The velocity of the blue turtle from the time of 6 hours to 13 hours is of 0 km/h.The red turtle maintained a consistent speed through the entire race.

How to obtain the features?

The time that it took to complete the race is the time it took for them to stop at the same position, hence it is of 16 hours.

For the Blue turtle, we have that:

At hour six, she was at a position of 10 km.At hour 13, she was at a position of 10 km.

The velocity is given by the change in position divided by the change in time, hence:

v = (10 - 10)/(13 - 6)

v = 0.

The red turtle maintained a consistent speed through the entire race, as the slope of her line is constant.

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Determine the intercepts of the line.
Do not round your answers.
y=-3x+12
y-intercept:
x-intercept:

Answers

Answer:

y- intercept = 12, x- intercept = 4

Step-by-step explanation:

to find the y- intercept, the point where the line crosses the y- axis.

let x = 0 in the equation and solve for y

y = - 3(0) + 12 = 0 + 12 = 12

then y- intercept = 12

to find the x- intercept, where the line crosses the x- axis.

let y = 0 in the equation and solve for x

0 = - 3x + 12 ( subtract 12 from both sides )

- 12 = - 3x ( divide both sides by - 3 )

4 = x

then x- intercept = 4

two side lengths of a triangle are 11 and 17. what is the longest possible integer length of the third side of the triangle?

Answers

Therefore, the potential length of a triangle's third side is 17-11<x<17+11 is equals to 6 < x< 28.

A triangle's third side must always have a length that falls between (but not exactly equal to) the sum and difference of the other two sides. Consider the examples 2, 6, and 7 as an example. The third side length must therefore be larger than 4 and less than 8.

According to the Triangle Inequality Theorem, any two triangle sides must add up to more than the third side's length. To find the potential length of a triangle, multiply the sum of the two sides by the difference of the two sides.

Therefore, the potential length of a triangle's third side is 17-11<x<17+11.

= 6 < x< 28

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As a result, the third side of a triangle may be equal to 17-11<x<17+11 is equals to 6 < x< 28.

The third side of a triangle must always have a length that is between the sum and difference of the other two sides, but is not exactly equal to either. As an illustration, think about cases 2, 6, and 7. Therefore, the third side length must be more than 4 and lower than 8.

The Triangle Inequality Theorem states that any two triangle sides must add up to greater than the length of the third side. Multiply the sum of the two sides by the difference of the two sides to determine the potential length of a triangle.

Consequently, 17-11<x<17+11.= 6 < x< 28 is the possible length of the third side of a triangle.

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Four points B, A, E, and L are on a straight line, as shown. The point G is off the line so that angle BAG = 120 degrees and angle GEL = 80 degrees. If the reflex angle at G is x degrees, then what does x equal?

Answers

Given that the reflex angle at G is x degrees, then x is equal to

What is a reflex angle?

A reflex angle is a type whose value falls within 180^o and 360^o. This implies that the value of the angle is greater than 180^o, but less than 360^o.

Considering the reflex angle given in the question, it can be deduced that;

m<AGE + m<GAE + m<GEA = 180^o

But,

i. m<GAB + m<GAE = 180^o    (sum of angles on a straight line)

120 + m<GAE = 180

m<GAE = 180 - 120

             = 60

m<GAE = 60^o

ii. m<GEA + m<GEL = 180^o

  m<GEA + 80 = 180

m<GEA = 180 - 80

             = 100

m<GEA = 100^o

Thus,

m<AGE + m<GAE + m<GEA = 180^o

m<AGE + 100 + 60 = 180

m<AGE = 180 - 160

            = 20

m<AGE = 20^o

Therefore,

x + m<AGE = 360  (sum of angles at a point)

x + 20 = 360

x = 360 - 20

  = 340

x = 340^o

x is equal to 340^o.

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There are 50 bacteria present initially in a culture. In 3min., the count is 204800.
What is the doubling period?

Answers

Answer: The doubling period is the time it takes for the population of bacteria to double. To find the doubling period in this case, we need to determine how often the population doubles during the 3-minute period.

We know that the initial population is 50 and the final population is 204800, which means that the population has grown by a factor of 204800/50 = 4096. Since this is a multiplication by a factor of 4096, this means that the population has doubled 4096 times in 3 minutes.

To find the doubling period, we need to divide the total time (3 minutes) by the number of doublings (4096).

So, the doubling period is:

3 minutes / 4096 = 3/4096 minutes ≈ 0.0007 minutes ≈ 0.042 seconds

So, the population of bacteria doubles every 0.042 seconds

Step-by-step explanation:

Determine the value of x in the figure.

Answers

The value of x in the figure is 3

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Given;

The ratio of line segment QP=2:6

The ratio of line segment RP=X:9

Now, to find x

2/6=x/9

x=9/3

x=3

Therefore, the value of x according to given ratio will be 3

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