What is the solution for 7x 5 =- 19?

Answers

Answer 1

x = - 8 is the solution for 7x + 5 = - 19. This can be solved using the concept of equation solving.

What is an equation?

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

7x + 5 = -19

or, 7x = - 19 - 5

or, 7x = - 24

or, x = - 8

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Related Questions

Find the 66th term of the arithmetic sequence 25, 10, -5, ...

Answers

On solving the provided question, we can say that - The provided arithmetic sequence's 66th term is -950.

Arithmetic sequence is what?

An arithmetic sequence is a set of integers that are ordered and have a common difference between each following word.An ordered group of integers with a shared difference between each word is known as an arithmetic sequence.

The given arithmetic sequence is,

25, 10, -5, .....

The sequence's initial word, a, equals 25, while the common difference, d, equals -15.

Use the formula nth term of arithmetic series = a+ (n-1)d to determine the 66th term of the sequence.

66th term =

[tex]25 + (66-1)(-15)\\ = 25 + 65× (-15)\\ = 25 - 975\\ = -950\\[/tex]

The 66th term of the arithmetic sequence is -950.

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How do you find the horizontal asymptote of a limit?

Answers

The way to find the horizontal asymptote of the limit is evaluate the limit of the function as it approaches infinity, and again as it approaches negative infinity.

The term asymptote in math is defined as  a line that the graph of a function approaches as either x or y go to positive or negative infinity.

Here we have to find the horizontal asymptote of a limit.

The process of finding the horizontal asymptote is the line y = 0 is called the asymptote of the graph, and it also represents the value that f(x) will never quite reach.

Here we can also say that f ( x ) = 1 x is asymptotic to the line y = 0.

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Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.

Suppose an angle has a measure of 2. 1 radians.

This angle (with a measure of 2. 1 radians) is what percent of a full rotation?
 %

Use your work in part (i) to determine the measure of the angle in degrees.
 degrees

Answers

If there are [tex]2\pi[/tex] radians and [tex]360 \textdegree[/tex] in one full rotation and an angle has a measure of [tex]2.1 radians[/tex] then the angle is 33.4 percent of a full rotation , and the measure of the angle in degrees is [tex]120.2\textdegree[/tex] .

we know that in 1 full rotation , the radians is 2π ;

and in 1 full rotation , the degree is 360 degree ;

We know that the relation between the degree and the radian measure is

⇒ [tex]1 radian = \frac{180\textdegree}{\pi }[/tex] ;

Part(i) ;

we have to express the 2.1 radians as a percent of full rotation ;

we get ; ⇒ [tex]\frac{2.1}{2\pi } \times 100\%[/tex]

on simplifying further ,

we get ; [tex]\approx 33.4\%[/tex] .

Part(ii)  ;

we have to determine the measure of the angle in degrees.

from part(i) , we find the percent is [tex]33.4\%[/tex] ,

So , [tex]33.4\%\times 360\textdegree[/tex]

On simplifying ,

⇒ [tex]\frac{33.4}{100} \times 360\textdegree[/tex]

[tex]\approx 120.2\textdegree[/tex] .

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Solve the Equation.
6x−3(x+8)=9
x=?

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]6x-3(x+8)=9\\6x-3x-24=9\\3x-24=9\\3x=33\\x=11[/tex]

Answer:

X=11

Step by step:

6x-3(x+8)=9

=6x-3x-24=9

=3x-24=9

      +24   +24

=3x=33

=3x/3=33/3

X=11

What is an equivalent function?

Answers

Equivalent function has the same domain and range. Equivalent and equal terms are not the same both have different meanings in mathematics.

A function is said to be equal if its Domain and Range are identical. Complete solution, step by step: A and B should be two sets. Now, by function, we mean a rule that guarantees that f(a)=b exists for all a. As a result, set A is referred to as the Domain of File and set B as the Range Off.

Despite being comparable to 1 + 1, 2 is believed to be equal to 2. When two items or amounts are exactly the same, as when 12 is equal to 12, yet 12 is equivalent to 2/4 since they reflect the same value, we can say that they are equal.

In mathematics, an equivalent can be defined in one of two ways. This is thus because there are various definitions for the concept of equivalent in mathematical theory. Equivalent refers to the mathematical notion that distinct terms and expressions having a similar value are treated equally.

Equivalent is not the same as equal in mathematics. While equivalent indicates similar but not the same, equal means the same in all respects.

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Which expression has a coefficient of 4?

Answers

The required expression that has the coefficient 4 is 4x⁵. Option B is correct.

What is the expression?

The expression is the relationship between variables and represented as y = ax + b is an example of a polynomial expression.

here,
Since the question seems to be incomplete,
A standard question can be given as,
Among the following option find the expression that has a coefficient of 4.
(a) 2x + 1
(b) 4x⁵
(c) ax⁶
(d) 7x²

Since the coefficient is the value present at the prefix of the variable term,
So the variable term that holds the coefficient 4 is 4x⁵.

Thus, the required expression is 4x⁵. Option B is correct.

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Audrey's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=59+6xy=59+6x, where yy represents the expected quiz score and xx represents hours spent on homework that week. What could the number 59 represent in the equation?


A student's expected quiz score if they spent no time on their homework.

A student's expected quiz score if they spent 65 hours on their homework.

The change in expected quiz score for every additional one hour students spend on their homework.

How many hours a student spends studying all year

Answers

The number 59 in the equation represents the following:

"A student's expected quiz score if they spent no time on their homework"

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

y=59+6x

When x=0, y=59+6*0 = 59+0 = 59

This means,  y=59 is the  student's expected quiz score if they spent no time on their homework.

The number 59 in the equation represents the following:

"A student's expected quiz score if they spent no time on their homework"

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Xavier ran 13 miles in 182 minutes. Assume Xavier maintains a constant speed.
Enter the number of minutes it takes Xavier to run 1 mile

Answers

Answer:

14 minutes

Step-by-step explanation:

We can represent Xavier's running in the following ratio using the given information:

distance : time

13 miles  :  182 minutes

To get the answer to this problem, all we have to do is divide both sides of the ratio by 13, so that the left side is 1 mile.

[tex]13 \textrm{ miles} : 182\textrm{ minutes}\\\overline{\ \ \ \ 13 \ \ \ \: } \ \ \: \overline{\ \ \ \ \ \ \, 13 \ \ \ \ \ \ }[/tex]

1 mile     :   14 minutes

It takes Xavier 14 minutes to run 1 mile.

8^x/2 divided by 4^x/3 equals 2^-5/2

Answers

The solution to the exponential equation 8^(x/2)/4^(x/3) = 2^(-5/2) is given as follows:

x = -6/5.

How to solve the exponential equation?

The exponential equation for this problem is defined as follows:

[tex]\frac{8^{\frac{x}{2}}}{4^{\frac{x}{3}}} = 2^{-\frac{5}{2}}[/tex]

Both 8 and 4 are powers of 2, as follows:

8 = 2³.4 = 2².

Applying the power of power rule (multiplying the exponents), the expression on the left side can be rewritten as follows:

[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{-\frac{5}{2}}[/tex]

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, hence:

[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{\frac{3x}{2} - \frac{2x}{3}}[/tex]

The subtraction is obtained as follows:

3x/2 - 2x/3 = 9x/6 - 4x/6 = 5x/6.

(as the least common factor of 2 and 3 is of 6).

Then the simplified expression is of:

[tex]2^{\frac{5x}{6}} = 2^{-\frac{5}{2}}[/tex]

As the exponential function y = 2^x is injective, the solution is obtained as follows:

5x/6 = -5/2.

10x = -12

x = -6/5.

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Jo ha three metal block. The weight of each block i the ame. When he weighed one block againt 8 gram, thi i what happened

Answers

The block weighed 8 grams. The other two blocks average have weighed the same amount as the first block, so they also weighed 8 grams each.

1. Joe has three metal blocks.

2. The weight of each block is the same.

3. Joe weighed one of the blocks against 8 grams.

4. The block weighed 8 grams.

5. The other two blocks must have weighed the same amount as the first block, so they also weighed 8 grams each.

Joe had three metal blocks that all weighed the same. He weighed one of the blocks against 8 grams, and it weighed exactly 8 grams. This meant that the other two blocks must also have weighed 8 grams each, since the weight of all three was the same. Joe was able to determine the weight of all three blocks with just one measurement.

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A bookcase is 3 feet high and 3 feet wide. Two braces are going to be built to diagonally cross the back of the case. How long is the piece of wood that is needed to build each brace?

Answers

The length of each piece of wood needed to build each brace of the bookcase will be 4.24 feet.

Based on the dimensions, the shape of bookcase is square. So the diagonal of the bookcase will be calculated from the formula -

Diagonal = ✓side² + side²

Keep the values in formula to find the value of diagonal

Diagonal = ✓ 3² + 3²

Taking square on Right Hand Side of the equation

Diagonal = ✓9 + 9

Performing addition on Right Hand Side of the equation

Diagonal = ✓ 18

Finding square root on Right Hand Side of the equation

Diagonal = 4.24 feet

Thus, each diagonal will be 4.24 feet.

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What is the difference between a problem and an algorithm?

Answers

A problem is just a function or even a mapping of inputs to outputs. An algorithm is a recipe for solving a problem with concrete and unambiguous steps.

What is algorithm?

In mathematics and computer science, an algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or perform a computation.

Algorithms are data calculation and processing specifications. More advanced algorithms can use conditionals to divert code execution through various paths (referred to as automated decision-making) & deduce valid inferences (referred to as automated reasoning), eventually achieving automation.

Alan Turing used metaphorical terms like "memory", "search," and "stimulus" to describe machines.

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N plus 75 used in a real world sentence.

Answers

Answer:

Laura has "n" amount of nickels. She receives 75 more from her grandmother.

Explanation:

(If this is not what the question meant, please let me know!)

Because the question is asking us to write a sentence for an addition problem, we need to write a sentence that involves two amounts of one thing being combined, in this case nickels.


4. Nicole uses 2.5 meters of ribbon to decorate
door wreaths. There are 20 meters of ribbon on a
spool. Write an equation that could be used to
determine the number of wreaths that Nicole
could decorate using one spool of ribbon. Solve.
Equation:

Answers

An equation that could be used to determine the number of wreaths that Nicole could decorate using one spool of ribbon is:

                           W = S / R

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Define Algebraic 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.

An equation that could be used to determine the number of wreaths that Nicole could decorate using one spool of ribbon is:

W = S / R

where W is the number of wreaths, S is the total length of ribbon on the spool, and R is the length of ribbon used per wreath.

Plugging in the given values, we get:

W = 20 / 2.5

Solving for W, we get:

W = 8

So Nicole could decorate 8 wreaths using one spool of ribbon.

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A cube with volume 8 cubic centimeters is cut in half by a plane which contains two edges of the cube. What is the area of the rectangle formed by the intersection of the plane and cube ? express your answer in simplest radical form.

Answers

In simplest radical form as A = 22 = 4 cm2

The formula for the volume of a cube is V = a3, where a is the length of each of the cube's sides. In this case, we know that the volume of the cube is 8 cm3, so a3 = 8. When we take the cube root of 8, we get that a = 2 cm.

Therefore, the area of the rectangle formed by the intersection of the plane and cube is A = 2*2 = 4 cm2. This can also be expressed in simplest radical form as A = 22 = 4 cm2.

To calculate this step by step, we first use the formula V = a3 to find the length of each side of the cube. We plug in 8 cm3 for V and solve for a.

V = a3

8 cm3 = a3

Taking the cube root of both sides gives us:

a = ∛8

a = 2 cm

Next, we use the formula for the area of a rectangle, A = l*w, where l is the length and w is the width. We know that the length and width of our rectangle are both equal to 2 cm.

A = l*w

A = 2*2

A = 4 cm2

This can also be expressed in simplest radical form as A = 22 = 4 cm2.

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Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.


Outcome Frequency
Green 4
Black 6
Orange 5

Based on the given frequency, determine the experimental probability of selecting a green marble.
0.27
0.33
0.40
0.73

Answers

0.27 is the experimental probability of selecting a green marble.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Michael has a bag of marbles.

The frequency of selecting each color is recorded  

Outcome Frequency

Green 4

Black 6

Orange 5

The total number of marbles are 4+6+5=15 marbles.

We need to find the experimental probability of selecting a green marble.

We need to select green marbles (4) from total marbles (15).

Probability=4/15=0.266=0.27

Hence, 0.27 is the experimental probability of selecting a green marble.

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Solve 12 (10x + 3 -8y)

Answers

Answer:

120x - 96y + 32

Step-by-step explanation:

12 (10x + 3 -8y)

We use the distributive property to solve

120x - 96y + 32

One of the most important when writing the order of an equation is always written the number with the variable first; that is why the answer is

120x - 96y + 32

Even more geometry stuff pls help

Answers

Answer:

[tex]z=\frac{25}{3}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem, the length of the altitude to the hypotenuse is [tex]\sqrt{5^2-3^2}=4[/tex].

Using the geometric mean theorem,

[tex]4^2=3(z-3) \\ \\ 16=3z-9 \\ \\ 25=3z \\ \\ z=\frac{25}{3}[/tex]

What is the area of the shaded region? Use 3.14 for pi and round your answer to the
nearest tenth.
O
6 cm
10 cm
12.6 cm²
78.5 cm²
50.2 cm²
201.0 cm²

Answers

The area of the shaded region is, 201.0 cm².

What is circle?

A circle is a closed, two-dimensional figure in which all points in the plane are equally spaced apart from the center. The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric around the center for all angles.

In the given figure we have to find the area of the shaded region.

First to find the area of circle with radius 10cm.

Area of circle = [tex]= \pi r^2 = 3.14*(10)^2 = 3.14*100 = 314cm^2[/tex]

Now to find the area of circle with radius 6cm.

Area of circle = [tex]= \pi r^2 = 3.14*6^2=3.14*36 = 113.04 cm^2[/tex]

So, the area of the shaded region is,

[tex]314cm^2 - 113.04cm^2 = 200.96cm^2=201.0cm^2[/tex]

Hence, the area of the shaded region is, 201.0 cm².

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Is 2x 3 a linear function?

Answers

Answer:

yes

Step-by-step explanation:

The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be 0 or 1 . In this case, The degree of f(x)=2x−3 f ( x ) = 2 x - 3 is 1 , which makes the function a linear function.

A sphere is inscribed in a cone with height 4 and base radius 3. What is the ratio of the volume of the sphere to the volume of the cone

Answers

The radius of the sphere  1.5  units

The volume of the cone is   pi (3)^2 *4 / 3   units^3  =  12pi  units^3

The volume of the sphere is (4/3)pi (1.5)^3  units^3 = 4.5 units^3

So   ratio  of the volume of the sphere to the cone is :

4.5 pi  / 12 pi  =    4.5 / 12  =      (9/2) / (24/2)  =  9 / 24  =  3 / 8

What is radius?In geometry, the radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary. It is an important part of circles and spheres which is generally abbreviated as 'r'. The plural of radius is "radii" which is used when we talk about more than one radius at a time. The largest line segment in a circle or sphere joining any points lying on the opposite side of the center is the diameter, and the length of the radius is half of the length of the diameter. It can be expressed as d/2, where 'd' is the diameter of the circle or sphere. Look at the image of a circle given below showing the relationship between radius and diameter.

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c=⟨–5,8⟩ and d=⟨7,4⟩, find –4c–4d.–4c–4d=

Answers

Refer to the attached image.

Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality? A. all whole-number values of n that are at least 1 B.all whole-number values of n that are greater than 1 C.all rational-number values of n that are at least 0.5 D.all rational-number values of n that are greater than 0.5

Answers

A statement which correctly describes the solution set of the given inequality include the following: C. all rational-number values of n that are at least 0.5.

What is a rational number?

In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.

Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;

5n + 1.5 ≥ 4

Subtracting 1.5 from both sides of the algebraic inequality, we have:

5n + 1.5 - 1.5 ≥ 4 - 1.5

5n ≥ 2.5

Dividing both sides of the algebraic inequality y 5, we have:

n ≥ 2.5/5

n ≥ 0.5

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Kate bought a circular swimming pool with a diameter of 50 feet. She wanted to know about how

many feet the circumference of her pool is. Which of these is the closest number to the

circumference?

Answers

The closest number to the circumference of the circle is 157 feet.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more generally referred to as the perimeter.

Given:

Kate bought a circular swimming pool with a diameter of 50 feet.

We have to find the closest number to the circumference of the circle.

Since,

Circumference = 2πr

where r is the radius of circle.

Here diameter of circle = 50 feet.

⇒ Radius of circle = 25 feet.

⇒ Circumference = 2*π*25 = 157.08

Hence, the closest number to the circumference of the circle is

157 feet.

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MATH PLEASE I NEED ANSWER

Answers

X=5
180=12x+19+22x-9
Hope it helps

Can u please help . ?............

Answers

Answer:

See the picture below

Step-by-step explanation:

It ha been etimated that about 15% of frozen chicken contain enough almonella bacteria to caue illne if improperly cooked. Suppoe that a upermarket buy 1000 frozen chicken from a upplier. Find an approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated

Answers

approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated is (271.02, 328.98) = (271, 329)

Suppose number of trials, n = 1000

And number of defective chickens is within 1 standard deviation of the mean :

Mean = np ; p = 0.3

Mean = 1000 * 0.3 = 300

Standard deviation (s) : sqrt(np(1-p))

s = sqrt(1000 * 0.3 * 0.7)

s = sqrt(210)

s = 14.49

2 standard deviations of the mean: and interval

Mean ± 2s

Lower bound : 300 - 2(14.49) = 271.02

Upper bound : 300 + 2(14.49) = 328.98

(271.02, 328.98) = (271, 329)

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Question 1
Solve for x.
x(x + 6) = 0
Write your answers as integers or as proper or improper fractions in simplest form.
X =
|
X =

Answers

Answer:

[tex]x=-6, 0[/tex]

Step-by-step explanation:

Using the zero-product property, we know that [tex]x=0[/tex] or [tex]x+6=0[/tex].

This means [tex]x=-6, 0[/tex].

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase. He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet. What is the volume of material he must purchase

Answers

So Cheng must purchase 32 cubic feet of sculpting material.

Each pyramid has a square base with edge length of 2 feet and a height of 6 feet. The area of the square base is (2 feet)^2 = 4 square feet. The volume of each pyramid is 1/3 * base area * height = 1/3 * 4 square feet * 6 feet = 8 cubic feet.

Since there are four identical pyramids in the sculpture, the total volume of material needed to create the sculpture is 4 * 8 cubic feet = 32 cubic feet. So Cheng must purchase 32 cubic feet of sculpting material.

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Answer:

D

Step-by-step explanation:

2 The test statistic in a two-tailed test is z=-2. 75 use a 0. 05 significance level to find the P value and state the conclusion about the null hypothesis

Answers

The p-value of the test statistic is p-value = 0.006. The null hypothesis will be rejected at 5% level of significance.

What Is Two-Tailed Test?

A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution. It is employed in testing the null hypothesis and determining statistical significance. The alternative hypothesis is accepted in place of the null hypothesis if either of the critical areas apply to the sample under test.

A two-tailed test in statistics determines if a sample is greater or less than a range of values by using a two-sided critical area of a distribution.

It is employed in testing the null hypothesis and determining statistical significance.

The alternative hypothesis is accepted in place of the null hypothesis if either of the crucial areas apply to the sample under test.

Conventionally, two-tailed tests with a 2.5% cutoff on each side of the distribution are employed to evaluate significance at the 5% level.

How to calculate the p-value?

Determine the level of relevance, sometimes referred to as the level, in step one. Assume 0.05 if it isn't specified. Step 2: Evaluate the level of significance in relation to the p-value. Make the conclusion that supports the possible change and reject the null hypothesis if the p-value is lower.

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Difference of functions What is spinning pottery called? How did mine owners try to drive a wedge between black and white mine workers (PLEASE ANSWER IN SHORT ESSAY FORMAT)Eastern and Western cultures are fundamentally different and enjoy different types of quality of life. Identifyand describe the differences between Eastern and Western cultures. Include at least two key differences foreach culture. Which of the following equations represent linear functions? select all that applyResponses3x+5y=1y= -9/x2(2 is an exponent)y=x2(2 is an exponent)-7y=1/xwill give brainliest for whoever answers correctly and quickly If the radius of a circle is x cm, what is the measure of its circumference? write. if you are traveling at 60 mph you will travel almost the length of a football field in how many seconds What is Mendel's second conclusion? DQuestion 4To find a list of the duties, powers, and responsibilities of the president in the US Constitution a person wouldneed to look in:O Art. LO Art. ILO the Preamble.O the 25th Amendment Jorges family is taking a car trip to see his grandmother. The family plans to spend 3 days on the road. The distance is 687 miles. About how far must they drive each day? What is the length of the 3rd side? HELPPP. I need help finding this answer The overall charge of an atom or ion is ________ if the number of electrons is ________ than the number of protons. Karl invests $100 in a savings account, which earns interest yearly. Select the TWO changes that would earn Karl more money from this savings account. A sample of magnesium metal reacts with 45.0 mL of 3.0 M solution of hydrochloric acid. How many moles of HCl are reacting A rectangle has the dimensions 2. 4 x 2. 2. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions? New dimensions: 1.which countries in europe were strong supporters of militarism and 2.what did those countries spend money one3.what effect did colonizing have on these countries Which of the following incidents does NOT require a report to be filed with local authorities? A. Spousal abuse. B. Animal bites. C. Gunshot wounds Write a ParagraphMaps can help us see where, how, and why people move in the past and today. Think about what you learned about the overland trails from the 1840s to the 1860s and Las Vegas today. Consider the benefits and costs of moving from one place to another. Then respond to this prompt:How do human beings and their ecosystems affect each other?Your reflection should be written in a complete paragraph of five to seven sentences. Include a topic sentence that states your main idea, as well as at least three supporting detail sentences. Your paragraph should end with a concluding sentence that ties the ideas of the paragraph together. Be sure to check your spelling and grammar.This part of the assignment is worth 10 points. Janice and Jenny are mother and daughter. Janice is much more alert early in the morning, and her teenage daughter is much more alert latein the evening. Their differing alertness levels throughout the day are attributed to which of the following?O circadian rhythmsO sleep cyclesO personalitiesO brain plasticityO levels of acetylcholine