2. At a temperature of 20°C the common amoeba reproduces by
splitting in half every 24 hours. If we start with a single amoeba
how many will there be after (a) 8 days, (b) 16 days?​

Answer:

6^8=6*6*6*6*6*6*6*6

=1679616

Step-by-step explanation:

In this expression the exponent shows that how many times 6 will be multiplied.

6^8=6*6*6*6*6*6*6*6

=1679616

Answer:

Ashrita

Step-by-step explanation:

The mean of any set of data is found by finding the summation of all the values in the set of data then dividing it by the number of entries in the data.

Mean=Σfx/Σf

Σf=26+31+39+30+16+16+18+38= 214

Σf= 8= the number of entries.

Mean=214/8=26.75

Ashrita's work was correct.

Answer:

Ashrita

Step-by-step explanation:

When you are finding the mean of some numbers you are meant to add all the numbers then divide by the amount of numbers

Answer:

-9

Step-by-step explanation:

Answer:

slope = - 9

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, - 6) and (x₂, y₂ ) = (4, 3)

m = [tex]\frac{3+6}{4-5}[/tex] = [tex]\frac{9}{-1}[/tex] = - 9

Answer:

1 mi/1.61 km

Step-by-step explanation:

we know that

1 mile= 1.61  kilometers

To convert 1 kilometer to miles

use proportion

so

1/1.61 mi/km=x/1 mi/km

x=1 mi/1.61 km

Answer:

[tex]\frac{1 mi}{1.61km}[/tex]

Step-by-step explanation:

We are given the unit values of inch, foot and mile to convert into centimeters.

Using these conversion units, we are to determine whether which expression in the answer options can be used as the conversion factor to convert kilometers to miles.

So using the given conversion units, we can see that the following is the conversion factor to convert kilometers to miles.

[tex]\frac{1 mi}{1.61km}[/tex]

Answer:

80

Step-by-step explanation:

60%=48

10%=8

8*10=80

Answer:80

Step-by-step explanation:

60/100*x=48

60/100=3/5 so,

3/5*x=48

3x=48*5

x=240/3

x=80

therefore the maximum capacity is 80 people

Answer:

5

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/ (x2-x1)

   = (-3-3)/(4-1)

  =-6/3

  = -2

Then we can use point slope form to make the equation

y-y1 = m(x-x1)

y-3 = -2(x-1)

Distribute

y-3 = -2x+2

Add 3 to each side

y-3+3 = -2x+2+3

y = -2x+5

Since this is in slope intercept form, y = mx +b, the y intercept is 5

Answer: D. 5

Step-by-step explanation: First we need to find the slope

m = (y2-y1)/ (x2-x1)

  = (-3-3)/(4-1)

 =-6/3

 = -2

Then we can use point slope form to make the equation

y-y1 = m(x-x1)

y-3 = -2(x-1)

Distribute

y-3 = -2x+2

Add 3 to each side

y-3+3 = -2x+2+3

y = -2x+5

Since this is in slope intercept form, y = mx +b, the y intercept is 5

you have a 1/12.5 chance of getting a white egg. so the theoretical possibility of getting only two white eggs is 1/156.25. so it is very unlikely to get two white eggs

Answer:

0.029

Step-by-step explanation:

Last year, the porgs laid 30 dotted eggs, 40 grey eggs, and 15 white eggs.

Total eggs = 30+40+15 = 85 eggs

White eggs = 15

So, probability of getting 1 white egg = [tex]\frac{\text{No. of white eggs}}{\text{Total no. of eggs}}[/tex]

                                                              = [tex]\frac{15}{85}[/tex]

Remaining white eggs = 14

Total eggs remaining = 84

Probability of getting 1 white egg on second draw   = [tex]\frac{14}{84}[/tex]

So, the probability that you would only collect 2 white eggs =[tex]\frac{15}{85} \times \frac{14}{84}[/tex]

                                                                                                   =0.029

Hence the probability that you would only collect 2 white eggs is 0.029.

okay l gonna give you stright answer it B okay

Answer:

Say that the price at the whole for a bottle is some x

We know that the Snack Bar sold them at 33% profit which is in dollars $0.28

i.e 33% x=0.28

so now its a matter of finding what x is 

writing this in algebraic form

0.33x=0.28

divide both sides of the equation by 0.33

0.33x/0.33=0.28/0.33

Therefore x=0.85 roughly

so the price per bottle at the whole sell is 85 cent

the snack bar is selling it for 1.13 dollars

assuming no tax applied 

Step-by-step explanation:

Answer:

0.84 (B)

Step-by-step explanation:

Answer:

The correct answer is C

Step-by-step explanation:

If a straight line passes through [tex](x_1,y_1)[/tex] and has a slope of [tex]m[/tex] , its equation is;

[tex]y-y_1=m(x-x_1)[/tex]

In this case, we have [tex](x_1,y_1)=(5,1)[/tex] and [tex]m=\frac{1}{2}[/tex].

To find the required equation: you have to substitute [tex]x_1=5,y_1=1[/tex] and [tex]m=\frac{1}{2}[/tex] into the equation to obtain:

[tex]y-1=\frac{1}{2}(x-5)[/tex]

The correct answer is C

Answer:

41.79%

Step-by-step explanation:

To be on the swim team, we look at the right most (total) number int he table of "on the swim team" row. That is 28.

The grand total is the bottom-rightmost. That is 67.

Hence, probability of being on swim team is 28/67 = 41.79%

Answer:

Step-by-step explanation: it’s c

Answer:

C. a rotation about point L

Step-by-step explanation:

Answer:

-7.2

Step-by-step explanation:

The value of expression A•D²/C² is 1.8 x 10⁻⁷ / D².

To find the value of A•D²/C², we can first rearrange the given equations and then manipulate them to get the desired expression.

Given equations:

A • B² = 1.8 x 10⁻⁷

C • B/D = 7.2 x 10⁻⁴

Let's manipulate the second equation to get C by itself:

C • B/D = 7.2 x 10⁻⁴

C = (7.2 x 10⁻⁴) • (D/B)

Now, substitute the expression for C from the second equation into the first equation:

A • B² = 1.8 x 10⁻⁷

A = (1.8 x 10⁻⁷) / B²

Now, we have expressions for both A and C:

A = (1.8 x 10⁻⁷) / B²

C = (7.2 x 10⁻⁴) • (D/B)

Now, let's find the value of A•D²/C²:

A•D²/C² = ((1.8 x 10⁻⁷) / B²) • (B/D)²

Since (B/D)² = B²/D²:

A•D²/C² = ((1.8 x 10⁻⁷) / B²) • (B²/D²)

Now, B² in the numerator and denominator cancel out:

A•D²/C² = 1.8 x 10⁻⁷ / D²

Thus, the value of A•D²/C² is 1.8 x 10⁻⁷ / D².

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Answer:  Graph (-4, -2) and (-2, 1)

Step-by-step explanation:

[tex]\text{The given equation is: }y+2=\dfrac{3}{2}(x+4)\\\\\text{which is of the form: }y-y_1=m(x-x_1)\\\implies(x_1, y_1)=(-4, -2)\quad and \quad m=\dfrac{3}{2}\implies (x+2, y+3)\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad (-4+2, -2+3)=(-2, 1)[/tex]

So, two possible points are (-4, -2) and (-2, 1).

Plot those two coordinates and draw a line through them.

Answer:

Got it right on the test, here is the answer.

Step-by-step explanation:

Answer:

[tex]\frac{5x-12}{x-1}[/tex]

Step-by-step explanation:

[tex]\frac{8x-5}{x-1}[/tex]-[tex]\frac{3x+7}{x-1}[/tex]

= [tex]\frac{8x-5-3x-7}{x-1}[/tex]

= [tex]\frac{5x-12}{x-1}[/tex]

Answer:

X= All real Numbers

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

The domain is the set of x values that we can plug into the function and it will have a y value.

The domain is the "allowed" x values of a function.

Exponential functions of the form  [tex]y=a^x[/tex], where a is a constant have domain of "all real numbers".

The function in this problem is of this form with a "-5" at the end, which shifts the function vertically 5 units down. This doesn't affect x values (or domain)

Hence, the domain is the set of all real numbers.

Answer:

140

Step-by-step explanation:

if you are rounding you round if 5 or over go up and if 4 or lower go down

Answer:

The correct answer option is B. [tex] 5 1 2 x ^ 6 [/tex].

Step-by-step explanation:

We are given the following expression and we are to choose its correct simplification from the given answer options:

[tex] ( 8 x ^ 2 ) ^ 3 [/tex]

Applying the power to the terms inside the bracket to get:

[tex]8^3 \times x^{2.3[/tex]

Solving it further by applying the power property of exponent to get:

[tex] 5 1 2 x ^ 6 [/tex]

Answer:

36

Step-by-step explanation:

The 10 part of the ratio represents 120 chickens. Divide 120 by 10 to find the value of one part of the ratio.

120 ÷ 10 = 12 ← value of 1 part of the ratio, hence

3 parts = 3 × 12 = 36 ← number of horses

The number of horses on the farm is​ 36.

Given that, the ratio of chicken to pigs to horses on a farm is 10:2:3 and the number of chickens on the farm is 120.

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.

We can write the given ratio 10:2:3 as 10x: 2x: 3x.

So, 10x=120

⇒x=12

Then, the number of horses=3x=36

Therefore, the number of horses on the farm is​ 36.

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The Fraction that is between 0 and 1/2 is 2/10

The fraction 1/2 can also be written as 5/10. If you were to make a number line, you would be able to see that 2/10 is between. Here, let me order them from least to greatest:

< - 0 - - 2/10- - - 1/2- - 7/10- 3/4 - 8/10 - >

As you can see, 2/10 is between 0 and 1/2 (5/10).

Answer:

b. 4+7x-2

Explanation:

when you add like terms for the first equation it becomes 7x-6

the second one becomes 7x+2

the third one becomes 7x-6

and the last one is also 7x-6

which means the second one is not equivalent

Answer:

B. 4 + 7x – 2

Step-by-step explanation:

Answer:

4 1/8 pieces

Step-by-step explanation:

Since you are using a string that is 100 ft. long then and you need exactly 24 3/8 ft. sections, you would do these calculations:

3/8 = 0.375

100/24.375 = 4.1026

.1026 = 1/8

4 1/8 ft long pieces

Answer:

The string is cut into 4.1025 pieces.

Step-by-step explanation:

We are given the following information:

Length of the string =  100 feet

Length of one piece = [tex]24\displaystyle\frac{3}{8} = \displaystyle\frac{195}{8} ~feet[/tex]

Number of pieces =

Formula:

[tex]\text{Number of pieces} = \displaystyle\frac{\text{Length of string}}{\text{Length of one piece}}[/tex]

Number of pieces =

[tex]\displaystyle\frac{100}{\frac{195}{8} } = \displaystyle\frac{100\times 8}{195}\\\\=\displaystyle\frac{800}{195} = 4\displaystyle\frac{4}{39} = 4.1025[/tex]

Thus, the string is cut into 4.1025 pieces.

Check the picture below.

Answer:

x=6.9 inches

Step-by-step explanation:

If a tangent and a secant are draw to a circle from the same exterior point, the square of the length of the tangent is equal to the product of the total length of the secant and the length of the external segment of the secant.

From the given diagram,

(8+4)×4=x²

12×4=x²

x²=48

x=6.9 inches

Answer:

doubles every 10 years

20 years, so it has doubled 2 times

1700 times 4=6800

it is worth $6800

Final answer:

To determine how many 3/4 pound bags of peanuts can be made from a 5 pound bag, divide the weight of the 5 pound bag by the weight of each 3/4 pound bag.Therefore, 20/3 or 6 and 2/3 3/4 pound bags of peanuts can be made from a 5 pound bag.

Explanation:

To determine how many 3/4 pound bags of peanuts can be made from a 5 pound bag, we need to divide the weight of the 5 pound bag by the weight of each 3/4 pound bag. We can use the division operation to solve this.

5 pounds ÷ 3/4 pounds = 5 ÷ 3/4

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/4 is 4/3.

5 ÷ 3/4 = 5 × 4/3 = 20/3

Therefore, 20/3 or 6 and 2/3 3/4 pound bags of peanuts can be made from a 5 pound bag.

Answer:

the number (x) is 120.

Explanation:

100% + 60% = 160% = 1.6

(just multiply it by 1.6 because it is equal to 60%)

The equation for the problem can be expressed as x + 0.6x = 192. To solve for x, you simplify the equation and isolate x, resulting in the answer of 120.

This problem is a simple algebraic problem in which we're trying to find a number that satisfies a given condition. To solve this, we need to express the problem as an equation. Let's assume the number we're looking for is denoted as x.  So, according to the problem, we have the following equation:

x + 0.60x = 192

The steps to solve this equation are as follows:

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Answer:

A

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 4) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = [tex]\frac{0+4}{4+4}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]

Using (a, b) = (- 4, - 4), then

y - (- 4) = [tex]\frac{1}{2}[/tex] (x - (- 4)), that is

y + 4 = [tex]\frac{1}{2}[/tex] (x + 4) → A

Answer:

(0, 1)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 4x = 1 ( add 4x to both sides )

y = 4x + 1 ← in slope- intercept form

with y- intercept c = 1 ⇒ (0, 1) ← coordinates of y- intercept

The coordinates of the point where y-4x=1 crosses the y axis is (0, 1)

The following information should be considered:

Therefore we can conclude that The coordinates of the point where y-4x=1 crosses the y axis is (0, 1)

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ANSWER

The correct answer is A

EXPLANATION

The parent function is

[tex]f(x) = {x}^{3} [/tex]

The function g(x) is obtained by shifting the graph of the parent function, 4 units left and 6 units up.

Therefore the transformation is of the form:

[tex]g(x) = f(x + 4) + 6[/tex]

Hence the transformed function has equation:

[tex]g(x) = {(x + 4)}^{3} + 6[/tex]

The correct answer is A

The resulting function g(x) after the translation will be g(x) = (x+4)³ + 6

Translation is a way of changing the position of an object on an xy plane. According to the graph shown, the parent function of the graph is f(x) = x^3.

The translates function shows an upward translation by 4 units and horizontal translation to the left by 6 units. The resulting function g(x) after the translation will be g(x) = (x+4)³ + 6

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