A colony of 100,000 bacteria doubles every 31 minutes. To the nearest whole number, what will the population be 124 minutes from now?

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

How many times will the colony double ?    124 / 31 = 4 times

2^4   * 100 000 = 1 600 000


Related Questions

Eliminate the parameter in the equations x = and y = t – 4. How can the rectangular equation be described? cubic linear quartic quadratic

x= t^ 1/3 !!!
edg 2021 cumu review

Answers

Answer:

Step-by-step explanation:

If [tex]x = t^{1/3}[/tex], then [tex]t=x^{3}[/tex]

Now, puting [tex]t[/tex] value in the other equation, we have

[tex]y=x^{3} - 4[/tex]

Therefore, is a cubic equation

Rectangular equation be described as the cubic equation. The cubic equation is obtained after rearranging the equation. Option A is correct.

How do we determine the solution to an equation?

We do the identical actions on both sides to ensure that the equality of both expressions is maintained.

Solving equations entails determining the values of the variables involved for which the equation is valid.

Given equation;

[tex]\rm x = t^{\frac{1}{3} }\\\\ t=x^3[/tex]

Put the value of t in the equation;

y = t – 4

y=x³-4

The obtained equation is cubic in nature.

Hence,rectangular equation be described as the cubic equation.

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can you please help that will be super kind of u to do that

Answers

Answer:

B

Step-by-step explanation:

I think your supposed to just count the dots

Answer:

B. 18

Step-by-step explanation:

The number of observations here means every time they saw how many pennies someone brought in. So you count up the total number of dots from 0-50 on here, and there are 18.

PlsAnsweRRRRR



The median value is .

Answers

Answer:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Step-by-step explanation:

Answer:

the median in this case would be 45

Step-by-step explanation:

(i’m going off what the other person said) since theres 5, you pick the one in the middle.

The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?


HURRYYYYYYYYYYY

Answers

The area of the floor in the scale drawing is 60 inches²

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangular floor.

Length = 24 feet

Width = 40 feet

Scale rectangular floor.

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scale rectangular floor.

= Length x Width

= 6 x 10

= 60 icnhes²

Thus.,

The area of the floor is 60 inches².

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Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $13.48
The amount of the tip is approximately $

Answers

$2.6, multiply 13 by .2 and you get 2.6

Convert 1.45454... into a ratio of two integers. Enter your answer as a fraction in lowest terms.​

Answers

Answer:

16/11

Step-by-step explanation:

Let x = 1.45454...

Multiply both sides by 100:

100x = 145.454...

Subtract both sides by x:

100x - x = 145.454... - x

100x - x = 145.454... - 1.45454...

99x = 144

x = 144/99

The term can be simplified in lowest as 16/11. Hence, 1.45454... can be written as the ratio of two integers of 16/11

I NEED HELP PLEASEEE!!!

Answers

If the radius is quadrupled, then the area of the new area to the old area will be 4:1

What is quadrupled?

You should be aware that the quadrupled of a circle is four times the area of the old one.

In this case the area of the circle is denoted by

Area = πr²

Where r= radius=6 cm

The area of the old circle is 22/7 * 6 * 6

Area of the circle is = 113.1cm²

To this effect, the area of the new circle is 4(area of the old one)

Area = 4*22/7 * 6 * 6

Area = 3167/7

Area is = 452.6

This implies that 4(113.2) =452.6

In conclusion, you will discover that four times the area of the new circle is the old circle

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Solve the following system of equations algebraically:
y = x² - 15x + 60
y=x-3

Answers

Since the square root of a negative number does not exist in the real numbers, there are no real solutions for x. Therefore, the system of equations has no solutions.

Define Algebric expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

What is variables and constants ?

A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.

To solve this system of equations algebraically, we can substitute y = x-3 into the first equation

y = x² - 15x + 60

x-3 = x² - 15x + 60

x² - 16x + 63 = 0

We know that this quadratic equation has no real solutions because its discriminant (b^2 - 4ac) is negative, so the system of equations has no real solutions.

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A number is divided by 9. When
the quotient is multiplied by 6,
the product is 108. What is the
number?
Explain how you found the
answer.

Answers

Answer:

The number is 162.

Step-by-step explanation:

Let's let the number =n

So, we can set up an equation.

(n/9) is a number divided by 9.

Its "quotient" (the answer to that expression) is multiplied by 6.

6(n/9)

The product (answer) is 108.

6(n/9) = 108.

Then we can solve.

6(n/9) = 108

(n/9) = 18

n = 162

if there were 125 students in 5 buses what is the ratio of students to buses

Answers

Answer:

125:5

Step-by-step explanation:

obvious.

Emmet had c caramels. Then his sister took 5 of the caramels. Write an expression that shows the number of caramels Emmet has left.

Answers

Answer:

C - 5

Step-by-step explanation:

We know

Emmet had c caramels

His sister took 5 caramels, that means subtract 5, so the equation is

c - 5

In SHORT BINGO, a $5\times5$ card is filled by marking the middle square as WILD and placing 24 other numbers in the remaining 24 squares. Specifically, a card is made by placing 5 numbers from the set $1-10$ in the first column, 5 numbers from $11-20$ in the second column, 4 numbers $21-30$ in the third column (skipping the WILD square in the middle), 5 numbers from $31-40$ in the fourth column and 5 numbers from $41-50$ in the last column. One possible SHORT BINGO card is: To play SHORT BINGO, someone names numbers, chosen at random, and players mark those numbers on their cards. A player wins when he marks 5 in a row, horizontally, vertically, or diagonally. How many distinct possibilities are there for the values in the first row of a SHORT BINGO card

Answers

The first row of the SHORT BINGO card contains 5 numbers, one from each of the sets $1-10$, $11-20$, $21-30$, $31-40$, and $41-50$. Since the WILD square is in the middle of the card, it does not affect the possibilities for the first row.

A probability simple definition is what?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

For the first column, there are 10 possibilities, as it can contain any number from the set $1-10$.

For the second column, there are 10 possibilities, as it can contain any number from the set $11-20$.

For the third column, there are 9 possibilities, as it can contain any number from the set $21-30$ except the one already used.

For the fourth column, there are 10 possibilities, as it can contain any number from the set $31-40$.

For the fifth column, there are 10 possibilities, as it can contain any number from the set $41-50$.

The total number of distinct possibilities for the values in the first row of a SHORT BINGO card is the product of the possibilities for each column, which is:

10 * 10 * 9 * 10 * 10 = 90000.

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Complete the equation describing how x and y are related -2

Answers

The equation of the line found is:

y = 3x + 1.

Since the rate of change is always the same, that is, when x changes by 1, y always changed by the same value, this is a linear equation.

Linear equation:

A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The standard form of linear equations in two variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.

The equation of a line is given by:

y = mx + b

In which:

m is the slope, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

From the table, when x =0 and y =1 , thus b = 1.

When x = and y = 1 . When x =1 and y = 4 , when x = 2 and y =7  , and so on. That is, when x changes by 1, y changes by 3, and the slope is m = 3.

The equation of the line is:

    y = 3x + 1.

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cuanto es 5X-3>-2X+4

Answers

Answer:

Step-by-step explanation:

7x > 7, o 7(x > 1).

es x>1

espero y te ayude esto

Find output, g, when the input, r, is 4. g= 25-3r

Answers

when the input r, is 4, then the output g, is 13.



The function g = 25 - 3r gives the output g when the input r is given.

If we substitute r = 4 into the equation, we get:
g = 25 - 3×4
g = 25 - 12
g = 13

Therefore, when the input, r is 4, the output g, is 13.


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The population of Canada is 3.5×10^7, and the population of the world is 7.0×10^9. How many times larger is the population of the world compared to Canada's population?

No links
Only answer if your going to help ​

Answers

Answer:

The population of the world is 200 times of the population of Canada.

Step-by-step explanation:

Given that,

Canada's population = [tex]3.5\times 10^7[/tex]

The population of world =  [tex]7.0\times 10^9[/tex]

We need to find how many times larger is the population of the world compared to Canada's population. It can be solved as follows :

[tex]\dfrac{W}{C}=\dfrac{7.0\times 10^9}{3.5\times 10^7}\\\\\dfrac{W}{C}=200\\\\W=200C[/tex]

So, the population of the world is 200 times of the population of Canada.

The diameter of a circle is 8 inches what is the circumference

Answers

Answer:

25.12

Step-by-step explanation:

8 x 3.14

Answer:

Circumference= 2πr

Raduis is half of the diameter so the radius is 4 in.

2 x 3.14 x 4= 25.12

The circumference of the circle is 25.12 in

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

[tex]x \approx 86.5[/tex]

Step-by-step explanation:

To solve the given problem, use the following trigonometric ratios,

[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta) = \frac{adjacnet}{hypotenuse}\\\\tam(\theta) = \frac{opposite}{adjacent}[/tex]

Each of the sides are named relative to the given angle, therefore, when looking at different angles, the sides will have different names.  In this case, one is given the length of the hypotenuse, and one is asked to find the length of the given side. Therefore, it would make the most sense to use the ratio of sine ([tex]sin[/tex]). Substitute in the given values and solve,

[tex]sin(84)=\frac{x}{87}[/tex]

Manipulate the equation so that it is solved for (x),

[tex]x=(87(sin(84))[/tex]

Solve,

[tex]x \approx 86.5[/tex]

Please help I have a learning disability and need help with this.

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

( 3 6) 9 and 3 (6 9)
yes, it uses the Associative Property
yes, it uses the Commutative Property
yes, it uses the Identity Property
no they are not equivalent

Answers

Answer:

No, they are not equivalent.

Step-by-step explanation:

The first expression, (3 6) 9, is equal to 9, while the second expression, 3 (6 9), is equal to 3. The two expressions are not equivalent because they do not produce the same result when the operations are carried out. The properties of associativity, commutativity, and identity do not apply to these expressions.

Answer:

no they are not equivalent

Step-by-step explanation:

The two expressions are not equivalent. This is because the distributive property does not apply in this case, as the parentheses on the left side of the expression have precedence over the parentheses on the right side. Therefore, the expression on the left side would be evaluated first, resulting in a different answer than the expression on the right side.

How do I find the indicated value?

Answers

nth term = 1st term + (rate)*(n-1)

so the 65th term with a first term of -17 and a rate of 8 would be 495

Answer:

65ᵗʰ Term of the sequence is 479

50ᵗʰ Term of the sequence is 346

Step-by-step explanation:

1.)

Here,

First Term = a₁ = 3

Second Term = a₂ = 10

Third Term = a₃ = 17

Now,

Common Difference (d)

d = a₂ - a₁ = (-7) - (-15) = -7 + 15 = 8

d = a₃ - a₂ = 1 - (-7) = 1 + 7 = 8

Here, Common Difference is same everywhere

Now, For 65ᵗʰ term, n = 65

aₙ = a + (n - 1)d

a₆₅ = (-15) + (65 - 1) × 8

a₆₅ = (-15) + 64 × 8

a₆₅ = (-15) + 512

a₆₅ = 479

Thus, 65ᵗʰ Term of the sequence is 479

2.)

Here,

First Term = a₁ = -15

Second Term = a₂ = -7

Third Term = a₃ = 1

Now,

Common Difference (d)

d = a₂ - a₁ = 10 - 3 = 7

d = a₃ - a₂ = 17 - 10 = 7

Here, Common Difference is same everywhere

Now, For 50ᵗʰ term, n = 50

aₙ = a + (n - 1)d

a₅₀ = 3 + (50 - 1) × 7

a₅₀ = 3 + 49 × 7

a₅₀ = 3 + 343

a₅₀ = 346

Thus, 50ᵗʰ Term of the sequence is 346

-TheUnknownScientist

Compare the rules of two games. Game A: Two six-sided dice are thrown. The numbers on the dice determine which player gets a point. Player 1 gets a point if the product of the numbers on the dice is even. Player 2 gets a point if the product is odd. Game B: Two six-sided dice are thrown. The numbers on the dice determine which player gets a point. Player 1 gets a point if the sum of the numbers on the dice is even. Player 2 gets a point if the sum is odd. IN Which statement accurately describes whether these games are fair?​

Answers

Answer:

Neither game A or B is fair

Step-by-step explanation:

statement accurately describes whether these games are fair is neither game A nor game B.

What is probability?

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

For, game A:

Odd x odd= odd,odd x even= eveneven x even = even

Not fair

For game B,

Odd + odd = eveneven + even= evenodd+ even= odd

Again,  unfair.

P (odd, odd)= 1/4

P(even, even)=1/4

P(odd, even)=1/2

Hence, none of the game is fair.

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A 5/44 lottery requires choosing five of the numbers 1 through 44. How many different lottery tickets can you choose

Answers

The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060. This can be calculated using the combination formula, which is:

[tex]nCr = n / (r(n-r))[/tex]

where n is the total number of options (43) and r is the number of choices (5).

so, [tex]43C5 = 43 / (5(43-5)) = 8,145,060.[/tex]

Lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.

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A PE Teacher pays a total of $960 for 6 basketballs and 8 volleyballs. The price of 6 basketballs is equivalent to 8 volleyballs. How much does each basketball cost than each volleyball?


solve by assuming question

Answers

Answer: solving by forming simple algebra equation

Step-by-step explanation:


8x (x is the cost of 1 volleyball)
6y (y is the cost of 1 basketball)

We know that cost of 8 volleyballs is = cost of 6 basketballs
i.e. 8x = 6y

& total money spent to buy 8 volleyballs and 6 basketballs is $960
so we can write;
8x + 6y = 960
= (6y) + 6y = 960
= 12y = 960
= y or cost of 1 basketball is (960/12) = $80

& if we want to know the value of x (cost of 1 volleyball)
8x = 6y
= 8x = 6(80)
& x = 6(80/8)
      = 6 (10) = 60

so the cost of basketball is $80 & 1 volleyball is $60

Hope it helps :)

p.s. that the equation I formed were made as if I was making an assumption & the conditions were kept uniform from the beginning, this is very applicable in day to day scenario; for e.g. when you go out with you friends to eat and have to split the bill - this assumption and division is called algebra - so value this education!

Which statement describes the relationship between the
function and its inverse?
O The range of both f(x) and f'(x) is all real numbers.
O. The domain of both f(x) and f'(x) is all real numbers.
O The range of f(x) is y > 0 and the domain off'(x) is
X>0.
O The domain of f(x) is x > 0 and the range of f1(x) is
y>0.

Answers

Answer:

The third,

The range of [tex]f(x)[/tex] is [tex]y > 0[/tex] and the domain of [tex]f^{-1} (x)[/tex] is  [tex]x>0[/tex]

Step-by-step explanation:

The solution to the function is range of f(x) is y > 0 and the domain of f' ( x ) is x > 0

Define domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. Once we enter an x value, the function outputs this sequence of values.

The collection of results from a relation or function is known as the range. It is, in other words, the range of potential y values. As ordered pairs of the form (x,y), the y coordinate is provided after the x coordinate. After the input is a list of the output.

Given the data,

Let's write the function as f. ( x )

The function's inverse is now presented as

Function is equal to f'(x), where x and y intercepts are switched.

The range of f(x) is now all the values of y.

And , y > 0

Hence, x > 0 defines the domain of f' (x).

As a result, the domain of f' (x) is x > 0 while the range of f(x) is y > 0.

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HELP PLEASE! 100PTS!


You're playing a game of pool and it's your turn, but you have no direct shots. To make any shot, you will need to bank the cue ball (the white ball) off the side of the table before it hits your ball.



That means that you hit the cue ball so that it bounces off the side and then hits your colored ball, moving it in the direction of a pocket (hole). The angle that the ball hits the bumper is equal to the angle that it bounces off the bumper.



The cue ball is 18 inches from the top bumper (side of pool table) and 50 inches from the right bumper. The dimensions of the pool table are 96 inches in the horizontal direction by 46 inches in the vertical direction

Answers

By Solving this proportion will give you the value of the angle you need to aim your shot.

What is angle of elevation ?

angle elevation can be defined as the angle formed between line of sight and horizontal line.

Draw a diagram of the pool table, labeling the dimensions of the table and the position of the cue ball.

Since the cue ball is 18 inches from the top bumper and 50 inches from the right bumper, you can draw a right triangle with these side lengths.

The dimensions of the pool table can also be used to draw a right triangle, with the horizontal dimension (96 inches) as the base and the vertical dimension (46 inches) as the height.

These two triangles are similar because they are both right triangles and they share a right angle. Therefore, the ratios of their sides are equal.

You can use the ratios of the sides of these triangles to determine the angle at which you should aim your shot. To do this, you can set up a proportion using the corresponding sides of the two triangles. For example, you could use the ratio of the base to the height of the small triangle (18 inches to 50 inches) and set it equal to the ratio of the base to the height of the large triangle (96 inches to 46 inches).

Hence, by  Solving this proportion will give you the value of the angle you need to aim your shot.

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[tex]4x \sqrt[ + 15 - 15]{?} [/tex]

Answers

Answer:

please what subject is this

Pleaseeee help
Given that one standard deviation below the mean is 24 and one standard deviation above the
mean is 31, what is the Mean?

A)55
B)34
C)27.5
D)28

Answers

Answer:

C. 27.5

Step-by-step explanation:

since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.

we would first subtract the two values

31-24 = 7

we would then divide that number by 2 since we are finding the average between the two numbers

7/2 = 3.5

using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)

24+3.5 = 27.5

31-3.5 = 27.5

since both calculated numbers were equal, we know that we calculated the mean correctly.

What is the perimeter of the rectangle??

Answers

The perimeter is 46 cm

Answer:

46 cm

Step-by-step explanation:

perimeter is just all the lengths of all the sides added up.

You have a circle-shaped mirror in your bedroom. To figure out where to hang it, you must find the diameter of the circle. You know the radius is 34 centimeters. How long is the diameter in inches? (Diameter = 2xradius) ( 1in = 2.54cm)

A. 26.8 inches
B. 86.4 inches
C. 172.7 inches
D. 13.4 inches

Answers

The diameter of a given circle, measured in inches, is 26.8 inches, according to the solution.

The correct option  is A.

What makes it called a circle?

A circle is a circular shape that can be created by tracing a moving point in a plane so that its distance from thea specified point remains constant. From the Greek word kirks, which means hoop or ring, comes the term circle.

How can a circle be so strong?

Circular shapes give us a feeling of completion, assurance, and harmony from a psychological perspective. They stand for the concepts of oneness, integration, and wholeness. In addition to lacking angles, they also lack a beginning and an end. Because of this, a circle is a strong, yet secure, kind, and benign element.

According to the given information:

Given,

Radius of circle= 34cm=13.36 inches

Diameter= 2x radius

Diameter = 26.8 inches

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HELP! THIS IS DUE TODAY, and i will mark brainlest!

Answers

Answer:

Last option...

Step-by-step explanation:

Answer:

The very last one

Step-by-step explanation:

x cannot have two outcomes

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Local and national reason of health initiatives Sand, silt, and clays deposited on the ocean floor are described as terrigenous sediments.true/false What caused thousands of Native Americans to die in Florida during Spanish colonization? evaluate the numerical expression 5^2/5^3 What are the types of attitudes in writing? The role of a company's marketing intermediaries is to do which of the following?A. Provide the resources needed by the company to produce goods and servicesB. Determine which products a company should marketC. Help the company find, promote, sell, and distribute productsD. Purchase the company's productE. Manage the company's human resources efforts How do you grow Mongo seeds in water? At room temperature I2(s) is a molecular solid. Which of the following provides a characteristic of I2(s) with a correct explanation ?(A) It has a high melting point because it has (B) It is hard because it forms a three-dimensional covalent network(C)It is not a good conductor of electricity because its valence electrons are localize in bonding and nonbonding pairs. (D) It is very soluble in water because its molecules are polar. Assume that you want to click on a link to obtain a Web page. The IP address for this link is not cached in your local host, so a DNS lookup is necessary to obtain the IP address corresponding to that link. Suppose that n DNS servers are visited before your host receives the IP address from DNS. The successive visits incur an RTT of RTT1 ,..., RTTn. Further suppose that the Web page contains one object(e.g. base file) but referencing 10 other objects on the same server, like images, audio, etc. Let RTT0 denote the RTT between the local host and the server containing objects above. Assuming zero transmission time of the objects, how much time elapses when the client clicks on the link until the client receives all the objects with:(1) Non-persistent connection without parallel TCP connection(2) Non-persistent connection with 4 parallel TCP connections(3) Persistent connection without pipelining(4) Persistent connection with pipelining Prove that :Question 1 :[tex]sec^2 \theta +cosec^2\theta = (tan \theta +cot \theta )^2[/tex]Question 2 :[tex]\frac{1-tan^2\theta}{1+tan^2\theta} =(cos +sin \theta)(cos \theta -sin \theta)[/tex]Question 3 :[tex]\frac{sin \theta}{1-cot \theta}+\frac{cos \theta}{1-tan \theta} =cos \theta +sin \theta[/tex] landslides are an example ofweathering erosiondeposition chemical change What is the meaning of the poem Poems by Nikki Grimes?What literary devices are used in the above poem? PLEASE HELP!!!!! PLEASE GIVE A EXPLANATION AND SHOW WORK!!!! THANK YOU!!!!In 2018, the population will grow to over 700,000. The population of a city in 2010 was 450,000 and was growing at a rate of 5% per year. In what year will the population be over 700,000? Show all work. The weight of an object changed if the force of gravity changes? True or false Read the following scenario. Then read the strategies below it. Which strategy would be most effective in ensuring that Ben's money gets spent in the manner he wishes? Ben has lost money in business endeavors at different points in his life. He has almost nothing of monetary value to leave for his children and feels some regret. He does have a small life insurance policy that will be divided evenly among his heirs, giving a few thousand dollars to each one. He imagines that after his death they can take a trip or do something else enjoyable to facilitate healing.Tell his children to scatter his ashes instead of holding a funeral.Give one of his children power of attorney.Do the trip planning himself. Two sides of an isosceles triangle are 12.5 cm each wow the third side is 20 cm what is the area of the triangle Is 6 A positive number? What is the solution to 3 4? A company with $690,000 in operating assets is considering the purchase of a machine that costs $78,000 and which is expected to reduce operating costs by $20,000 each year. These reductions in cost occur evenly throughout the year. The payback period for this machine in years is closest to (Ignore income taxes.): (Round your answer to 1 decimal place.) Find the area of the shaded NO DOCS,LINKS, FILES ETCLOTS OF POINTS WILL MARK BRAINLYEST