A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.

- Find a function that represents the growth of this culture of bacteria as a function of time.

- How long does it take this culture of bacteria to double?

Thanks TT

The circumference of the tire as described in the task content is; 295.8cm.

It follows from the task content that the tire in discuss is circular and has radius; 47.1cm.

Hence, by the circumference formula; we have;

Circumference = 2πr = 2 × 3.14 × 47.1

Circumference = 295.8cm.

Read more on circumference;

https://brainly.com/question/23986334

#SPJ1

Answer:

24.5

Step-by-step explanation:

All you have to is Multiply 3 1/2 by 7

3 1/2 x 7= 24.5

Answer:

437.50 is the cost of 25kg of apple's.

Answer:

Finished minutes or more: Yes

Three least tired: No

Best looking bikes: No

Finished the race: Yes

Countries of origin of riders who didn't finish: Yes

Step-by-step explanation:

Things displayed on the board: name of rider, country of origin, finishing time

Finished minutes or more: anyone who finished who wasn't in first

Three least tired: subjective information, not on the board

Best looking bikes: subjective information, not on the board

Finished the race: everyone who doesn't have DNF next to their name

Countries of origin of riders who didn't finish: countries of anyone with DNF next to their name

The points (s, t) that will maximize John's profit is; (12, 0)

We are given the inequality constraints;

s ≤ 12 - 0.5t

s ≥ 10 - t

s ≤ 20 - t

s ≥ 0

t ≥ 0

We are told that John sells the T-shirts for $6 each and the shorts for $14 each. Since the coordinate point is (s, t), when we look at the options and compare with each of the constraints, it is clear that the points (s, t) that will maximize John's profit is; (12, 0)

Read more about Inequality Constraints at; https://brainly.com/question/14309521

#SPJ1

Answer:

[tex]\boxed{E.~36}[/tex]

Step-by-step explanation:

Supporting drawing in the attachment.

The sum of the measures of two consecutive angles is equal to 180°.

3x° + 2x° = 180°

5x° = 180°   I ÷ 5

x° = 36°

Answer:

36

Step-by-step explanation:

I also did this for shsat

Answer:

x = 14

Step-by-step explanation:

110 + 5x = 180

-110 -110

5x = 70

divide by 5 on both sides

x = 14

to find y add 70 + 40 + missing angle = 2y

missing angle is 70 because 70+40+70 = 180

so 2y = 110

y = 55

Answer:

x=14

y=55

Step-by-step explanation:

5x and  110 form a straight line so they add to 180

5x+110 =180

5x = 180-110

5x = 70

Divide by 5

5x/5 = 110/5

x = 14

We know the exterior angle of a triangle is equal to the sum of the two opposite interior angles

40 + 5x = 2y

Substitute in 14 for x

40 +5(14) = 2y

40 + 70 = 2y

110 = 2y

Divide by 2

110/2 =2y/2

55 = y

Answer:

Definition of circle

Explanation:

All the points that lies on the circle must be same distance from the center.

This is given by the definition of a circle.

Radius is the length from the center to the points lying on the circle.

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

Diameter of circle is from one end point to another end point lying on circle.

Answer:

-792

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{-11^3 + 8^3 + 3^3}[/tex]

[tex]\mathsf{= -11\times -11\times -11 + 8\times8\times8 + 3\times3\times3}[/tex]

[tex]\mathsf{= 121\times -11+ 64\times8+9\times3}[/tex]

[tex]\mathsf{= -1,331 + 512 + 27}[/tex]

[tex]\mathsf{= -819 + 27}[/tex]

[tex]\mathsf{= -792}[/tex]

[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{-792}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

D. Both graphs are exponential functions.

Step-by-step explanation:

Hope it helps :)

Answer:

BC = 11[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin 45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{11}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC = 11[tex]\sqrt{2}[/tex]

A line which has the same slope as the line passing through the given points is: C. y = 2x + 8.

Given the following data:

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope = \frac{5\;-\;(-1)}{-1\;-\;(-4)}\\\\Slope = \frac{6}{3}[/tex]

Slope = 2.

Therefore, y = 2x + 8 is a line which has the same slope as the line passing through the given points.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Complete Question:

Which line has the same slope as the line passing through (-4, -1) and (-1, 5)?

A. y = 3

B. 9x - 3y = 5

C. y = 2x + 8

D. the line passing through (1, 4) and (1, 7)

Answer:

And here's your answer: 39.14

Step-by-step explanation:

First, add all the numbers up

then divide them all by 14

From the shapes given, the third transformation is not an isometry.

An isometry is a mathematical function used to describe the process of moving a geometric object without a changing its size or shape from one point to another.

Thus, from the shapes given, the third transformation is not an isometry.

Learn more about isometry here:

https://brainly.com/question/4057530

#SPJ1

Answer:

29 small boxes

Step-by-step explanation:

Answer:

the first option I believe

The ratios are Surface area ⇒ 4 : 25 Height ⇒ 2 : 5 and Volume ⇒ 8 : 125

The scale factor is given as:

m : n = 2 : 5

For the area, we take the square of the ratios.

i.e.

Area = 2^2 : 5^2

Evaluate

Area = 4 : 25

For the volume, we take the cube of the ratios.

i.e.

Volume = 2^3 : 5^3

Evaluate

Volume = 8 : 125

The given scale factor can be used for the height of the model and the original bicycle

Hence, the ratios are

Surface area ⇒ 4 : 25

Height ⇒ 2 : 5

Volume ⇒ 8 : 125

Read more about ratios at:

https://brainly.com/question/13419413

#SPJ1

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

[tex]\frak{Good\;Morning!!}[/tex]

[tex]\pmb{\tt{Question\;1}}[/tex]

                 [tex]\star\boldsymbol{\rm{Given-:}}[/tex]

              [tex]\star\boldsymbol{\rm{We're\;looking\;for-:}}[/tex]

This is how it's done.

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

There's a special formula that we can use if we need to find the longest side of a right triangle. Fortunately, all of these triangles are right ones! Good.

The formula is. [tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex]. This formula is known as Pythagoras' Theorem. This formula only works for right triangles.

Since we have a and b, we can just put in the values (7 for a and 5 for b), And then simplify!

[tex]\boldsymbol{\rm{7^2+5^2=c^2}}[/tex] | 7^2 simplifies to 49, and 5^2 simplifies to 25

[tex]\boldsymbol{\rm{49+25=c^2}}[/tex]. | add

[tex]\boldsymbol{\rm{74=c^2}}[/tex] | square root both sides

[tex]\boldsymbol{\rm{8.6=c}}}[/tex]. | the answer is given to 1 decimal place, as the problem required

[tex]\orange\hspace{350pt}\above5[/tex]

[tex]\pmb{\tt{Question\;2}}[/tex]

 Once more, we're given two sides, and asked to find the third one,  

  which is still the longest side.

[tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex] is still the formula used here

Put in 5 for a and 3 for b.

[tex]\boldsymbol{\rm{5^2+3^2=c^2}}[/tex] | 5^2 simplifies to 25, and 3^2 simplifies to 9

[tex]\boldsymbol{\rm{25+9=c^2}}[/tex] | add

[tex]\boldsymbol{\rm{34=c^2}}[/tex] | square root both sides

[tex]\boldsymbol{\rm 5.8=c}}[/tex] | once again it's given to one decimal place

[tex]\hspace{350pt}\above5[/tex]

[tex]\pmb{\tt{Question\;3}}[/tex]

This problem is solved the exact same way

[tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex]

[tex]\boldsymbol{\rm{8.2^2+4.7^2=c^2}}[/tex]

[tex]\boldsymbol{\rm{67.24+22.09=c^2}}[/tex]

[tex]\boldsymbol{\rm{89.33=c^2}}[/tex]

[tex]\boldsymbol{\rm{9.5=c}}[/tex], rounded to one D.P.

[tex]\orange\hspace{300pt}\above2[/tex]

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

[tex]\pmb{\tt{Question4}}[/tex]

Here we have the longest side and one side length-:

[tex]\boldsymbol{\rm{4^2+b^2=7^2}}[/tex] | 4^2 simplifies to 16 and 7^2 simplifies to 49

[tex]\boldsymbol{\rm{16+b^2=49}}[/tex] | subtract 16 from both sides

[tex]\boldsymbol{b^2=33}[/tex] | square root both sides

[tex]\boldsymbol{\rm{b=5.7}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

[tex]\pmb{\tt{Question\;5}}[/tex]

[tex]\boldsymbol{\rm{3.8^2+b^2=7.9^2}}[/tex]

[tex]\boldsymbol{\rm{14.44+b^2=62.41}}[/tex]

[tex]\boldsymbol{\rm{b^2=47.97}}[/tex]

[tex]\boldsymbol{\rm{b=6.9}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

[tex]\pmb{\tt{Question\;6}}[/tex]

[tex]\boldsymbol{\rm{a^2+6.1^2=7.3^2}}[/tex]

[tex]\boldsymbol{\rm{a^2+37.21=53.29}}[/tex]

[tex]\boldsymbol{\rm{a^2=16.08}}[/tex]

[tex]\boldsymbol{\rm{a=4.0}}[/tex]

[tex]\pmb{\tt{done~!!!}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

Answer:

Step-by-step explanation:

So if you look at the numerator the degree is 2, and if you look at the numerator of the denominator, it's 3. This means that the value of the denominator will grow faster than the numerator, so it will diverge.

To find the first 5 terms simply plug in 1, 2, 3, 4, and 5 as n

[tex]a_1=\frac{1^2-9}{1^3+3} = \frac{-8}{4} = -2}\\a_2 = \frac{2^2-9}{2^3+3} = \frac{-5}{11} = -\frac{5}{11}\\a_3 = \frac{3^2-9}{3^3+3} = \frac{0}{30} = 0\\a_4 = \frac{4^2-9}{4^64+3} = \frac{7}{67} = \frac{7}{67}\\a_5 = \frac{5^2-9}{5^3+3} = \frac{16}{128} = \frac{1}{8}[/tex]

It should converge to a limit of 0, since the denominator is growing faster than the numerator

Answer:

C

Step-by-step explanation:

Answer:

[tex](-1;1)[/tex] and [tex](0;4)[/tex]

Step-by-step explanation:

First of all, even if the system is of 4th degree, by looking at the shape of the equations I am expecting up to 2 solutions.

The easiest way to solve it, since both equation are in the form y= something, is to equate both RHSs.

[tex]3x^2+6x+4=-3x^2+4\\6x^2+6x=0 \rightarrow 6x(x+1)=0[/tex]

which tells us that either [tex]x=0[/tex] or [tex]x=-1[/tex]

Now we can replace these value of x in one of the two to finish our work: [tex]x=0\rightarrow y= 4[/tex]

[tex]x=-1 \rightarrow y= -3+4=1[/tex]

The consecutive two integers are 5 and 6

Linear equations

Let the two consecutive integers be (x+1) and (x). If twice the sum of two consecutive integers is 22 then;

2(x+1+x) = 22

x+x+1 =  22/2

2x + 1 = 11

Subtract 1 from both sides

2x = 11 - 1

2x = 10

x = 5

Hence the consecutive two integers are 5 and 6

Learn more on linear equation here:  https://brainly.com/question/1884491

#SPj1

The inverse of the function f(x)= x^2 is a function.

The equation of the function is

f(x)= x^2

Rewrite as:

y = x^2

Swap x and y

x = y^2

Make y the subject

[tex]y = \sqrt x[/tex]

Rewrite as:

[tex]f^{-1}(x) = \sqrt x[/tex]

So, the inverse of f(x)= x^2 is [tex]f^{-1}(x) = \sqrt x[/tex]

See attachment for the graph

The inverse is a function.

This is so because it passes the vertical line test

Read more about inverse functions at:

https://brainly.com/question/2883051

#SPJ1

The solution will be the point of intersection of the lines and since the lines are parallel to each other, there is no solution

Inequality are expressions not separated by an equal sign. Given the following inequalities

2x - y > 4

2x - y < -2

The lines for both inequality must be dashed since they do not include equal sign. The first line will be shaded in the upper part while the second in the lower portion

The solution will be the point of intersection of the lines

Learn more on inequality graph here: https://brainly.com/question/24372553

#SPJ1

Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

[tex]a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;[/tex]

or a₄=-39.

Answer:

Step-by-step explanation:

w-z can be expressed in ploar form as √2∠(7π/4)

Sometimes the expression A(cos(α)+i·sin(α)) is written as A·cis(α). I prefer the notation A∠α, because it is more compact.

 Given: w = √2∠(π/4)

 z = 2∠(π/2)

And you are asked to find the difference w-z in polar form.

In rectangular form, ...

 w = √2∠(π/4) = √2(1/√2 +i/√2) = 1 +i

 z = 2∠(π/2) = 2(0 +i·1) = 2i

Then the difference is ...

 w -z = (1 +i) -(2i) = 1 -i

You may notice this is the conjugate of w, so will have the opposite angle:

w - z = w* = √2∠(-π/4) = √2∠(7π/4)

In the terms used by the problem statement, ...

 w -z = √2(cos(7π/4) +i·sin(7π/4))

For more information about polar form, visit https://brainly.com/question/21538521

#SPJ4

The fraction of the price of the first item is 1/19 if Roxanne bought one item for its regular price and a second item for $ 1.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

In a promotional sale, Roxanne bought one item for its regular price and a second item for $ 1.

Total money Roxanne paid = $20

First item price = 20 - 1 = $19

The fraction of the price of the first item = 1/19

Thus, the fraction of the price of the first item is 1/19 if Roxanne bought one item for its regular price and a second item for $ 1.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ1

Answer:

25 ft

Step-by-step explanation:

c = √a^2 + b^2 = √20^2 + 15^2 = 25ft

Hooke me up with a 5 star and a thanks :)

Answer:

Step-by-step explanation:

Since the ladybug is [tex]3.3cm[/tex] far from each edge of the rectangle, it follows that the length of the new rectangle is [tex]3.3cm+9.5cm + 3.3cm = 16.1cm[/tex] and the width is [tex]3.3cm+7.5cm + 3.3cm = 14.1cm[/tex].

Recall a formula for the area of a rectangle: [tex]A = l \cdot w[/tex], where [tex]l[/tex] is a length and [tex]w[/tex] is a width of the rectangle.

Substitute [tex]l=16.1cm[/tex] and [tex]w=14.1cm[/tex] into the formula:

[tex]A=16.1cm\cdot 14.1cm[/tex]

Multiply the numbers:

[tex]A=[/tex] [tex]227.01cm^{2}[/tex]

Therefore, the required area is equal to [tex]227.01cm^{2}[/tex].