A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours
there will be 800 bacteria.

Answers

Answer 1

The population after t hours is 160 x (1.3797)^t.

What is the population after t hours?

The first step is to determine the growth rate of the bacteria:

growth rate = (future population / initial population) ^(1/number of years) - 1

(800 / 160)^(1/5) - 1= 37.97

The exponential function : 160 x (1.3797)^t

Here is the complete question:

A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours

there will be 800 bacteria. Express the population after t hours as a function of t. population:

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Related Questions

If 5 hours at a computer terminal costs $25, what is the cost of 6 hours?

A. $30
B. $45
C. $150
D. $12

Answers

Answer:

30 dollars

Step-by-step explanation:

25/5 = 5 dollars per hour

so 6 hours would be 5 * 6 = 30 dollars

Answer:

It would be B

Step-by-step explanation:

First, we need to find out the unit rate

5/25=1/5

Therefore, that means in one hour the cost would be $5

Since you are going from one hour to 6 hours you need to multiply both numbers by 6

Since 5x6=30, it would be 30$ :)

please narrate every step you make and make a 2 column proof!

thank you!!

Answers

Hang on ,it is already proven through given .

So The proof is of one line only

ray FEH bisects <DFG (Given)

Hence proved .

can someone please help mee

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Domain = [-2, 1)[/tex]

[tex]\qquad \tt \rightarrow \:Range = [0 , 4][/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

[tex] \large\textsf{For the given graph : } [/tex]

[tex]\qquad \tt \rightarrow \: domain = [ - 2,1)[/tex]

[tex]\qquad \tt \rightarrow \: range= [ 0,4][/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Understand equivalent ratios in the real world
Ani thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. Freeze Zone makes
"batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel.
What will Ani think about the amount of caramel in Freeze Zone's milkshakes?
Choose 1 answer:
Freeze Zone's milkshakes have too much caramel.
Freeze Zone's milkshakes have too little caramel.
Freeze Zone's milkshakes are just right.

Answers

Answer:

They have too much caramel

Step-by-step explanation:

The ratio to the perfect milkshake would be 5:3 (5 ice-cream, 3 caramel)

The ratio for freeze zones milkshakes are 10:7 (10 ice-cream, 7 caramel)

As you can see the amount of has ice-cream has doubled (5x2=10)

but the amount of caramel has increased more than double (double would be 3x2=6 but its not it is 7)

Therfore there is too much caramel for the 'perfect milkshake'

Hope this helps :)

Answer:

It is she will think there is too much caramel

Step-by-step explanation:

This is because the ratio of 5:10 is 1:2, so you will have to multiply 3 by 2, which is 6, which is smaller than 7.

In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks) ​

Answers

Answer:

4

Step-by-step explanation:

DA²= CB×CA

6²= y×(y+5)

36=y²+5y

y²+5y-36=0

x1+x2=-5

x1×x2=36

x1=4

x2=-9

x must be positive, then answer is 4

chek: 4×9=36

Please answer!!

-3 + 4/7 - 1/5

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

-92/35

Step-by-step explanation:

-3 + 4/7 - 1/5 =

-21/7 + 4/7 - 1/5 =

-(21*5) / (7*5) + (4*5)/(7*5) - (1*7)/(5*7) =

-105/35 + 20/35 - 7/35 =

-105+20-7 / 35 = -92/35

(c) The result of a number, when increased by 40%, is 2.1. Find the number. ( c ) The result of a number , when increased by 40 % , is 2.1 . Find the number .​

Answers

Answer:

1.5 is the number.

Explanation:

Let the number be 'n', this is 100% - original number.

When increased by 40%, 100% + 40% = 140%.

140% × n = 2.1

1.4n = 2.1

n = 2.1/1.4

n = 1.5

Hence, the original number is 1.5.

The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?

Answers

You need to use y=mx+c to answer this so basically

gradient/slope (m) is 1.5 and the y-intercept (c) is -2

Hope this helps :)

[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]

-- - -- - -- - -- - -- - - - -- - -- - -- - -- - -- - -- - -- -- -- - -- -- - -- -- -- -- --- -- -- --- - -- -- --

[tex]\triangleright[/tex] [tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] [tex]\triangleleft[/tex]

Slope = 1.5 ✅Y intercept = -2 ✅

[tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]

[tex]\bullet[/tex] Let's start by examining the equation we are working with more closely

-- ↩

This particular equation is provided to us in "slope intercept form".

--

The slope intercept formula is "[tex]\boldsymbol{y=mx+c}[/tex]"

--

In this formula  the letter "m" denotes the slope; the letter "c" denotes the y intercept.

(Remember, variables (letters) represent numbers! ^__^)

--

[tex]\bullet[/tex] Above is all the information we need to come up with a solution to the given problem! ^^

--

Now it's time we considered this.

"What is the slope & y intercept of the equation y=1.5x-2?"

--

If in the formula y=mx+c, the slope is m, then what is the slope in the equation y=1.5x-2?

The slope is [tex]\large\boxed{\mid \boldsymbol{1.5} \mid}}[/tex].

The y intercept is [tex]\large\boxed{\mid \boldsymbol{-2} \mid}}[/tex]

[tex]\Large\text{Great job!! c:}[/tex]

--

Hope that this helped! Best wishes!

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

--

[tex]\underline{\underline{\underline{\overbrace{\boldsymbol{Learn\;More!!}}}}}[/tex]

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I need hard and easy math questions with the answer, i need 10 questions

thnx

Answers

Answer:

https://www.khanacademy.org/

Step-by-step explanation:

I am not entirely sure what you mean however if you sign up for this website and go to whichever grade level you need you can practice all you want

The pie chart below shows how the annual budget for a certain companies divided by department is a total budget is 15,000,000 what amount is budgeted for sales research and engineering combined

Answers

If the amount of budget for media and sales combined is $25,000,000. Then the total annual budget will be $125,000,000.

The complete question is attached below.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred.

The pie chart below shows how the annual budget for a certain company divided by department.

If the amount of budget for media and sales combined is $25,000,000.

Then the total annual budget will be

Let x be the total annual budget.

17% + 3% = 25,000,000 / x

       20% = 25000000 / x

      0.20 = 25000000 / x

            x = $125,000,000

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2x+y=8
y+3z=5
z+2w=1
5w+3x=9

what is x,y,z,w

Answers

Answer:

Systems of equations:

x=3

y=2

z=1

w=0

A(-5, 2)
-10-8-6-4-2
10
↑リ
8
64
2
2
4.
6
-8
-10
B(1,6)
2
4
6 8 10
D(3,-10)
C(9,-6)
What is the area of rectangle ABCD?
O 43 units²
52 units²
O104 units²
O208 units²

Answers

The area of ABCD is 104 units²

What is area of rectangle?

The area of rectangle is the product of its length to its breadth.

i.e., Area of rectangle= length * breadth

As, ABCD is in the shape of rectangle.

Using distance formula,

AB = √(1-(-5)² + (6-2)²

AB = √36+16

AB = √52

AB= 2√13

BC= √(9-1)² + (-6-6)²

BC= √64+144

BC =√208

BC= 4√13

Now, area of rectangle

=length *  breadth

= 2√13 * 4√13

= 8*13

=104  units²

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Solve for x
((x + 3)/4) + (((2x - 12) - 1)/3) = 1

Answers

Answer:

x=5

Step-by-step explanation:

[tex]((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\[/tex]

Now we have to cross multiply the denominator to progress further.

[tex]\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5[/tex]

Answer: 5 x 4/7

Full explanation.

Answers

ANSWER:
5/1 x 4/7 (Cross Multiply) =20/7

Answer:

20/7

Step-by-step explanation:

5×4/7

numerator5×numerator4=20

denominator 7×denominator1=hence,answer is

20/7

a sunflower has increased in height from 72.4cm to 86.2 cm. what is the percentage increase?

Answers

Answer:

initial hieght = 72.4 cm

final hieght = 86.2 cm

change in hieght = 9.8 cm

percentage increase = (9.8 ÷ 72.4 ) * 100 = 13.59 %

Please help solve for x..

Answers

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

[tex]x^{100}-4^x \cdot x^{98}-x^2+4^x=0[/tex]

Factor out -1:

[tex]\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0[/tex]

Divide both sides by -1:

[tex]\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0[/tex]

Rearrange the terms:

[tex]\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:[/tex]

[tex]\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0[/tex]

Factor out the common term [tex](x^{98}-1)[/tex] :

[tex]\implies (4^x-x^2)(x^{98}-1)=0[/tex]

Zero Product Property:  If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

[tex]\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}[/tex]

Therefore, the solutions to the given equation are: x = 1 or x = -1

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can someone please help mee and graph it for me pleasee(20 points and i will give brainliest!!!)

Answers

Answer:

vertex: (3,1)

y-intercept = (0,-8)

x-intercept- Smaller=2 Larger=4

Domain= all real numbers, identity, infinite

Range= 1 is greater than or equal to y

axis of symmetry=3

Step-by-step explanation:

The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?.

Answers

The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have data set:

30, 35, 35, 45, 46, 46, 52, 55, 57

We can find below details from the data set:

Population size = 9

Minimum: 30

First quartile: 35

Median = 46

Third quartile = 53.5

Interquartile Range = 18.5

Maximum = 57

Outliers = none

Thus, the box plot first represents the data set option first is correct.

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Which value of m will create a system of parallel lines with no solution?
y=mx-6
8x-4y=12

Answers

Answer: y = 2x - 6

Step-by-step explanation:

   Let us turn the second given equation into slope-intercept form to match the first equation.

8x - 4y = 12

8x - 12 = 4y

4y = 8x - 12

y = 2x - 3

   Now, parallel lines have the same slope. This is the m value.

y = 2x - 3

   \/

y = mx - 6

y = 2x - 6

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one angle of a triangle measures 80° more than the smallest, while a third angle is twice the smallest. whats the measure of each angle?

Answers

Answer: The measure of each angle is  105°, 50°, and 25°.

Step-by-step explanation: The first step in solving this is writing down what you know.

In the phrase it tells you that "one angle of a triangle measures 80 more than the smallest", so we can say that one angle = 80 + smallest angle.

This can be simplified more to x = 80 + y

x = One Angle

y = Smallest Angle

Then if we continue with the phrase it says "a third angle is twice the smallest", so we can say that a third angle = 2(Smallest Angle).

This can be simplified more to z = 2(y)

z = Third Angle

We also know that a triangles angles add up to 180°, so we know x + y + z = 180.

So, with these equations we can now solve for x, y, and z.

The easiest way would be to simply just plug in x and z straight into the 180 equation as follows.

x = 80 + y

z = 2(y)

180 = x + y + z

180 = (80 + y) + y + (2y)

180 = 80 + 4y

100 = 4y

y = 25

Then we can use y to solve for the other two equations.

z = 2(25)     x = 80 + 25

z = 50         x = 105

After completing that you are left with the three angles of the triangle, 25, 50, and 105.

What is the measure of the unknown angle?

straight angle divided into a one hundred thirty two degree angle and an unknown angle

48°
49°
51°
53°

Answers

The answer would be 48 because a straight line has an angle of 180 so
180-132=48



Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
92 + ( -5 )
2+2

Answers

Answer:

6

Step-by-step explanation:

Answer:

92 + ( -5 ) , 2+2

Step-by-step explanation:

1) 92 + ( -5 )

= 92 - 5

= 87

2) 2 + 2 = 4

Estimate the Value of 196/0.499

Answers

Answer:

The value of the expression will be "392.79".

Step-by-step explanation:

~ The technique of dividing a quantities into equivalent portions as well as    determining however many equal components may be formed, is determined as a division.

~ It is denoted by "/".

According to the equation, the expression is:

→ 196/0.499

By applying the division, we get

→ 392.79

Answer:

392

Explanation:

Note that we are estimating, not finding the actual value. 0.499 is very close to 0.5, so to estimate this expression, we can do 196 ÷ 0.5. Dividing a number by 0.5 is the same as doubling it, so this can also be seen as
196 · 2, which is 392.

Hope this helps !! :D
The actual answer is the other one, but again, you're finding an estimate!

10) Find the perimeter of the shape below, which has been formed from two quarter circles, [1]
rounding your answer to 3 significant figures
P
8.7 cm

Answers

There is no shape included in your question

Look at the diagram. Which of the following is another name ∠2?



∠CDB

∠BCD

∠DCB

∠DBC

Answers

The other name for angle 2 is ∠DBC

The correct option is (D)

What is Angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

We know that while naming the angle we have to consider the point where the angle is made should be at center.

Hence, the angle 2 can also be written as ∠DCB.

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Which of the following describes point D?
O (-4,0)
O (4,0)
O (0,4)
O (0,-4)

Answers

Answer:

The answer is C (0,4)

Step-by-step explanation:

Looking at the graph we have to find a point (x,y) of D.

Find point D. It is on the y-axis, but which one? Positive/Negative y-axis.

It appears to be on the positive y-axis.

Now we have to choose either option C or D.

Option C seems like the best choice since the point is (x,y) is (0,4) on the positive y-axis.

Option D is quite the opposite of point D since the point (0, -4) is on the negative y-axis.

The answer is C. (0,4)

Bearing a to b is 280 what is bearing b to A

Answers

Answer:

please see photo attached for detailed analysis.

The number of boys who signed up to play winter basketball is 175 percent of what it was last year. if 320 boys played winter basketball last year, how many signed up to play this year?

Answers

The number of boys signed up to play basketball this year is 560.

Given that, the number of boys who played basketball last year = 320.

We need to find the number of boys signed up to play basketball this year.

What is a percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Now, the number of boys signed up to play basketball this year = 175 per cent of what it was last year.

So, the number of boys signed up to play basketball this year = 175% of 320

[tex]=\frac{175}{10} \times 320=1.75 \times 320=560[/tex]

Therefore, the number of boys signed up to play basketball this year is 560.

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In the diagram shown, the area of the triangle is 44.3m². If b = 14.1m and the angle at C = 48°, work out x. Round to 1 DP. X C b​

Answers

If the height of the triangle will be 6.28 meters. Then the value of x will be 8.46 meters.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In the diagram shown, the area of the triangle is 44.3 m².

If b = 14.1 m and the angle at C = 48°.

Then the value of x will be

The height of the triangle will be

    A = 1/2 × B × H

44.3 = 1/2 × 14.1 × h

    h = 6.28 m

Then the value of x will be

sin 48° = 6.28 / x

x = 8.455 ≈ 8.46 m

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These points are linear.
Find the slope.
x
012345
y 3 6 9 12 15 18
slope = [?]

Answers

Answer:

Step-by-step explanation:

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