An amoeba divides to form two amoebas after one hour. One hour later, each of the two
amoebas divides to form two more. Every hour, each amoeba divides to form two more.
1. How many amoebas are there after 1 hour?
2. How many amoebas are there after 2 hours?
3. Write an expression for the number of amoebas after 6 hours.

Answer:

Step-by-step explanation:

Hypotenuse = 25

Opposite=20

Adjacent =?

Use Pythagoras Theorem :

[tex] {hypotenuse}^{2} = {opposite}^{2} + {adjacent}^{2} [/tex]

Input values

[tex] {25}^{2} = {20}^{2} + {x}^{2} \\ 625 = 400 + {x}^{2} \\ 625 - 400 = {x}^{2} \\ 225 = {x}^{2} [/tex]

Square root both sides

[tex] \sqrt{225} = \sqrt{ {x}^{2} } \\ 15 = x \\ x = 15[/tex]

Answer:

y= mx +c

Step-by-step explanation:

The point- slope form of an equation is

y= mx +c, where m is the gradient and c is the y-intercept.

You can find the value of m by using the gradient formula.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.

Here's an example.

Point-slope form of an equation passing through (1, 2) and (5, 6).

① Finding gradient, m.

[tex]m = \frac{6 - 2}{5 - 1} \\ m = \frac{4}{4} \\ m = 1[/tex]

② Substitute value of m into equation.

y= 1x +c

y= x +c

③ Substitute a pair of coordinates.

when x=1, y=2,

2= 1 +c

c= 2 -1

c= 1

Thus the equation of the line is y= x +1.

You may already know that "y+MX+b" form called the slope-intercept form of the equation of a line. It is the same equation in a different form. The 'b' value called the y intercept is where the line crosses the y- axis

Step-by-step explanation:

Answer:

[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]

Step-by-step explanation:

Parralel lines have the same slope.

The slope will be [tex]\frac{3}{4}[/tex]

Answer:

5/24

Step-by-step explanation:

1 hour = 60 minutes

2 hours = 60*2 = 120 minutes

then:

25 minutes / 120 minutes

25/5= 5

120/5 = 24

the simpliest form is:

5/24

The simpliest form of 25 minutes as a fraction of 2 hours is 5/24

A fraction represents a part of a number or any number of equal parts.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

We need to express 25 minutes as a fraction of 2 hours in its simplest form.

Since we know that 1 hour = 60 minutes

2 hours = 60 x 2 = 120 minutes

then:

25 minutes / 120 minutes

25/5= 5

Thus 120/5 = 24

Hence, The simpliest form of 25 minutes as a fraction of 2 hours is 5/24

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Answer:

the answer is three.

Step-by-step explanation:

first, simplify the exponent, which would be 36, then solve the 3+9, which is 12, then that leaves you with 36/12, and 12 goes into 36 3 times, so three is your answer

Answer:

The answer is 3

Step-by-step explanation:

To evaluate, we must do the order of operations. PEMDAS:

P=Parenthesis

E=Exponents and Radicals

M=Multiply

D=Divide

A=Add

S=Subtract

Because 6^2 ÷ (3 + 9), we must do the parenthesis which is add then simplify the exponent and lastly divide. So the equation will be:

6^2 ÷ (3 + 9)

= 6^2 ÷ 12

= 36 ÷ 12

= 3

I hope this helps! I'm sorry if it's wrong or complicated.

Answer:

Step-by-step explanation:

x² - 2x - 35

(x - 7)(x + 5)

x - 7 = 0 ;    x + 5 = -5

x = 7, -5

Answer:

the first one is 84

Step-by-step explanation:

subtract 145-61 then you get 84for the missing angle.

Answer:

1. 84,  2. 7.31

Step-by-step explanation:

1. 145-61=84

2. 16x+4-3x+11=110

13x+15=110

13x=95

x=7.31

Answer:

1)  -8(9n-10) - 20

-72n + 80 - 20

-7n + 60

Can't factor

2) 90n+54

18(5n+3)

3) -72n+60

-12(6n-5)

4) -17n - 80

Can't factor

5) -160n

Can't factor

Answer:

B. -72n+60

Step-by-step explanation:

We are given the expression:

-8 (9n-10) -20

We want to simplify the expression. First, distribute the -8.

Multiply each term inside the parentheses by -8.

(-8 * 9n) + (-8*-10) -20

-72n + (-8 * -10) -20

-72n + 80 -20

Next, combine like terms. Currently, we have two constants (terms without variables) that can be combined.

Subtract 20 from 80.

-72n + (80-20)

-72n + 60

The expression: -8(9n-10)-20, simplified is -72n+60. Therefore, the correct answer is B. -72n+60

Answer:

8x^2 - 10x = 0

Step-by-step explanation:

Standard format of a quadratic equation :

ax^2 + bx + c = 0

Answer:

5( 7+n)

Step-by-step explanation:

First find the sum

(7+n)

Then multiply by 5

5( 7+n)

Answer:

[tex]\Huge \boxed{5(n+7)}[/tex]

Step-by-step explanation:

The sum of 7 and n is also adding 7 and n.

[tex]7+n[/tex]

The sum is the result from adding. That result is multiplied by 5.

[tex]5 \times (7+n)[/tex]

[tex]5(n+7)[/tex]

Answer:

3000m

42.875 m/cm/mm/km/in/miles³ etc. (don't know what measurement you need).

Step-by-step explanation:

1 km = 1000m

Volume of a cube is V=a³ thus 3.5³ = 42.875³

Answer:

15 inches

Step-by-step explanation:

Hello!

To find the perimeter of a rectangle we have to add all the sides

l + l + w + w = p

We know the length is 6 inches more than the width

l = w + 6

We can put w + 6 for l

w + 6 + w + 6 + w + w = p

We can simplify this

4w + 12 = p

The perimeter is no more than 48

4w + 12 = 48

Subtract 12 from both sides

4w = 36

Divide both sides by 4

w = 9

Now we can put 9 in for w in the equation to find the length

l = 9 + 6

l = 15

The answer is 15 inches

Hope this helps!

Answer:

slope = for every +3x there is a gain of +6y. so slope is 2.

Step-by-step explanation:

Answer:

8(a+2)

Step-by-step explanation:

can i have the brainliest answer

Answer:

35

Step-by-step explanation:

5 x 7 = 35

Answer:

35

Step-by-step explanation:

The equation is 5x. When the value of x is 7, you multiply 5*x or 5*7. This gives you 35.

Answer:

$2.20 per gallon.

Step-by-step explanation:

That is 33/15 = $2.20 per gallon.

Answer:

Step-by-step explanation:

Price per gallon = Total price of 15 gallons ÷  15 gallons

                         = 33 ÷ 15

                          = $ 2.20

Fiona is going to jog once around the block she lives on. The block is rectangular, and it is 180 yards long and 200 feet wide. How far will Fiona jog (in feet)?

Answer:

Fiona will jog 1480 feet  once around the block she lives on.

Step-by-step explanation:

From the information given:

Length of the rectangular  block = 180 yards

Breadth of the rectangular block = 200 feet

The block have a rectangular shape and we are to determine how far will Fiona jog (in feet).

Converting yards to feet

1 yard = 3 feet

∴

180 yards = (180 × 3) feet

= 540 feet

Calculating the perimeter of the rectangle will determine how far Fiona will jog.

Perimeter of a rectangular block = 2 (length + breadth)

Perimeter of a rectangular block = 2(540 + 200) feet

Perimeter of a rectangular block = 2(740) feet

Perimeter of a rectangular block = 1480 feet

∴

Fiona will jog 1480 feet  once around the block she lives on.

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf {11.11\%}}}}[/tex]

Step-by-step explanation:

Given,

Cost price of three thermos flask = 1080

Selling price of each thermos flask = 400

Finding the selling price of three thermos flask

Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )

Here, the selling price is greater than cost price.

So, there is profit.

And we know that,

[tex] \sf{profit = sp \: - \: cp}[/tex]

⇒[tex] \sf{1200 - 1080}[/tex]

⇒[tex] \sf{120}[/tex]

Profit amount = 120

Finding the profit percentage

[tex] \sf{profit\% \: = \frac{profit}{cp} \times 100 \%}[/tex]

⇒[tex] \sf{ \frac{120}{1080 } \times 100\%} [/tex]

⇒[tex] \sf{11.11\%}[/tex]

Hope I helped!

Best regards!!

Answer:

$8.40

Step-by-step explanation:

Price in England = 1.4 pounds per Litre

Current exchange rate : 1 pound = 1.65 dollars

1 Litre = 0.26 gallons

If 1 Litre = 0.26 gallons

1 gallon = (1 / 0.26) litres = 3.8461538 litres

Therefore, cost per gallon in England = (1.4 × 3.8461538)

= 5.3846153 pounds

Then ;

If 1 pound = 1.56 dollars

Then cost per gallon in dollars equals

5.3846153 * 1.56 = 8.399999868 dollars

$8.40

Answer:

Average : 10,724.2857 miles

Step-by-step explanation:

To determine the mean we can simple find the average, adding all the miles the car has traveled, over the number of days. See working below -

[tex]\frac{10150+10211+10424+10769+10884+11155+11477}{7}[/tex]

Adding the numerator values : [tex]10150+10211+10424+10769+10884+11155+11477=75070[/tex]

[tex]\frac{75070}{7} = 10724.28571\dots[/tex]

Ling traveled an average of about 10,724.2857 miles.

Answer:

40

Step-by-step explanation:

5 times 2^3=

5 times 8=

40

Answer:

[tex]\boxed{A. 2,016 km^2}[/tex]

Step-by-step explanation:

Hey there!

TSA is calculated using,

TSA = 2wl + 2lh + 2hw

Plug in the given info.

w = 18

l = 18

h = 19

TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)

TSA = 648 + 684 + 684

TSA = 2,016km²

Hope this helps :)

The total surface area of the cuboid is km². Therefore, option A is the correct answer.

The given dimensions are length=19 km, width=18 km and height=18 km.

We need to find the total surface area of the given cuboid.

Total surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, TSA=2lw+2lh+2hw, to find the surface area.

Now, TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)

TSA = 648 + 684 + 684=2016 km²

The total surface area of the cuboid is km². Therefore, option A is the correct answer.

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Answer:

let cow=x and chickens =y

cows have 4 legs, 4x. chickens have 2 legs, 2y

Answer:

a= 15 cows b= 27 chickens c= none, he is not an animal.

Step-by-step explanation:

cows have four legs

chickens have two

15 cows = 60 legs

27 chickens = 54 legs

60+54 = 114

please make me the brainliest if you find this helpful :)

Answer: 0.0228 .

Step-by-step explanation:

Given, IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15

Let X denotes the IQ score.

Then, the proportion of people with IQs above 130 is

[tex]P(X>130)=P(\dfrac{X-mean}{ standard\ deviation}>\dfrac{130-100}{15})\\\\= P(Z>2)\ \ \ \[Z=\dfrac{X-mean}{ standard\ deviation}][/tex]

[tex]=1-P(Z<2)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\=1-0.9772\ [\text{By z table}]\\\\=0.0228[/tex]

Hence, the proportion of people with IQs above 130 is 0.0228 .

Answer:

[tex]\bold{3x+y+20=0}[/tex]

Step-by-step explanation:

Mid point of (-10, 5) and (-5, 0).

Other point (-8, 4).

To find:

Equation of line in standard form that connect the mid point and other point.

Solution:

Mid point formula is given as:

[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]

[tex]x = \dfrac{-10+-5}{2} = -7.5\\y = \dfrac{5+0}{2} = 2.5[/tex]

Now, the two points are: (-7.5, 2.5) and (-8, 4)

Slope intercept form of line is given as:

[tex]y = mx+c[/tex]

[tex]m=\dfrac{4-2.5}{-8-(-7.5)} = -3[/tex]

So, the equation of line is:

[tex]\Rightarrow y =-3x+c[/tex]

Putting (-8, 4) to find c:

[tex]4=-3\times -8+c\\\Rightarrow c = -20[/tex]

Equation of line:

[tex]\Rightarrow y =-3x-20[/tex]

In standard form:

[tex]\bold{3x+y+20=0}[/tex]

Answer:

Quadrant IV

Step-by-step explanation:

If x > 0 the we are in quadrants 1 or 4

If Y < 0 we are in quadrants 3 or 4

Since both are true, we are in quadrant 4

Quadrant 2

x axis is left to right

y axis is up and down

Answer :

0.53

Step-by-step explanation:

Given the following :

Probability of female = probability of success on a single trial = 0.51

Number of babies = 80

Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)

The problem can be solved using the binomial probability function :

P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]

In other to save computation time, we can use the binomial probability calculator

Hence ; P(X > 40) = 0.527 = 0.53

Answer:

5 ^ (1/12)

Step-by-step explanation:

5 ^ 1/3

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

5 ^ 1/4

When we divide exponents with the same base, we subtract the exponents

5 ^ (1/3 -1/4)

Getting a common denominator

5 ^ ( 4/12 - 3/12)

5 ^ (1/12)

Answer:

[tex]\Huge \boxed{5^{\frac{1}{12}}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sf \frac{5^{\frac{1}{3}} }{5^{\frac{1}{4}} }[/tex]

When dividing same bases, we subtract the exponents.

[tex]\displaystyle \sf 5^{\frac{1}{3}- \frac{1}{4} }[/tex]

Making exponents have the same denominator.

[tex]\displaystyle \sf 5^{\frac{4}{12}- \frac{3}{12} }[/tex]

Subtracting exponents.

[tex]\displaystyle \sf 5^{\frac{1}{12}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Answer:

Step-by-step explanation:

0.004 and 0.444

both have 4 in the thousandth place, both are in thousandth place

different: 0.444 is greater than 0.004

when divide by 1000:

444/1000 is greater than 4/1000

if convert to percentage :

0.444 is 44.4%

0.004 is 0.4%