graph x- intercept=4, y- intercept=-3

Answers

Answer 1

Answer:

Step-by-step explanation:

Plot the point (4, 0) (the x-intercept) and then the point (0, -3) (the y-intercept).  Draw a straight line through these two points.


Related Questions

Please help me with the question below

Answers

Answer: In the top box:   S ≥ 2000 - (S + 178)    

S ≥ 2000 - A      A = S + 178  substituted for  A in the first  equation

The solution is S ≥ 911    and  A ≥ 1089

Step-by-step explanation:

S ≥ 2000 - (S + 178)

S ≥ 2000 - S -178    Add S to both sides,

S + S ≥ 2000 -178

2S ≥ 1822

S ≥ 911     so  A ≥ 911 + 178   A≥ 1089  (but the question shown doesn't ask that)

This means that if Shane collected at least 911 cans and Abha collected at least 1089, their total was at least 2000.

pls hurry the answer is not 36.......Given a * b=ba−ba+ab, find (2*3)×(3*2).

Answers

Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

Marlene brought a can of polyurethane varnish that was stored at 40°F into her shop, where the
temperature was 74°F. After 2 hours, the temperature of the varnish was 58°F. If the varnish must be
68°F for best results, then how much longer must Marlene wait until she uses the varnish?

Please show explanation:(

Answers

Answer:

1 hour and 6 minutes

Step-by-step explanation:

A temperature difference of 58-40 = 18°F was obtained in 2 hoursA temperature difference of 68-40 = 28°F will be obtained in x hours

The next proportion must be satisfied:

18 °F / 28 °F = 2 hours / x hours

x = 2*28/18

x = 3.1 hours in total

Given that she has already waited 2 hours, she must wait 3.1 - 2 = 1.1 extra hours. 1 hour is equivalent to 60 minutes, then 0.1 hours is equivalent to 0.1*60 = 6 minutes.

Evelyn flips three coins simultaneously. The theoretical probability that only two of the coins will turn up heads 3/8. If Evelyn flips the three coins simultaneously 200 times, how many times can she expect only two heads to turn up

Answers

Answer:

75

Step-by-step explanation:

200 ÷ 8 = 25

25 x 3 = 75

The number of times 2 coins will turn heads up is 75, the correct option is D.

What is Probability?

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

When 3 coins are flipped, there is two probabilities,

The probability of getting a head or a tail is 1/2.

The probability that there will be 2 coins that will turn up heads is 3/8

Probability is defined as the ratio of favorable outcomes to total outcomes.

If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,

= (3/8) * 200

= 75

To know more about Probability

https://brainly.com/question/11234923

#SPJ5

10. (2x10^-3)^3= ? Explanation please

Answers

Answer: 0.000000002

Step-by-step explanation:

Evaluation of (2x10^-3)^3 will be achieved by using the law of indices or exponent.

(A^x)^y = A^xy

Therefore,

(2x10^-3)^3= 2x10^-9

Convert the number in standard form back to normal number form

2×10^-9 = 0.000000002

Therefore,

(2x10^-3)^3 = 0.000000002

[tex]\frac{\sec\left(x\right)}{\cos\left(x\right)}-\frac{\sin\left(x\right)}{\csc\left(x\right)\cos^{2}\left(x\right)}[/tex]Use the basic identities to change the expression to one involving only sines and cosines. Then simplify to a basic trig function.

Answers

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that [tex]csc(x)=1/sin(x)[/tex] and [tex]sec(x)=1/cos(x)[/tex].

Thus:

[tex]\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}[/tex]

[tex]=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }[/tex]

Let's do the first part first: (Recall how to divide fractions)

[tex]\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}[/tex]

For the second term:

[tex]\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}[/tex]

So, all together: (same denominator; combine terms)

[tex]\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}[/tex]

Note the numerator; it can be derived from the Pythagorean Identity:

[tex]sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)[/tex]

Thus, we can substitute the numerator:

[tex]\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1[/tex]

Everything simplifies to 1.

What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?

Answers

Answer:

x = 0, x = 4, x = -3

Step-by-step explanation:

Factor out the x, which makes it x(x^2-x-12)

Then it will be x(x-4)(x+3)

x = 0

x - 4 = 0, x = 4

x + 3 = 0, x = -3

Question 6 Essay Worth 5 points)
(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
40
SO
Write and solve an equation to determine the measure of angle y.
I

Answers

The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.

How can we find the solution to an equation?

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.

The angles subtended by a circle is 360°, then;

The equation is found as;

[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]

The sum of angle of the two right angle is 180°;

x°+40°+50°=180°

x=90°

y+50°+40°=180°

Y=90°

Hence, the value of y will be 90°.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Which of the following operations would be used to solve y−7=38?
- 7
×−7
+ 7
-266

Answers

Answer:

Add 7 to each side

Step-by-step explanation:

y−7=38

Add 7 to each side

y−7+7=38+7

y = 45

Answer: add 7

Step-by-step explanation: To solve for y, we need to isolate y and we do that by using inverse operations.

Since we have -7 on the left side, the opposite of subtracting is adding.

So we add 7 to both sides to get y = 45.

Solve this system using the substitution method: y = 6x – 5; y = (2/3)x + 1

Answers

Answer:

x = 1.125

Step-by-step explanation:

6x – 5 = (2/3)x + 1

6x - (2/3)x = 1 + 5

(16/3)x = 6

x = 9/8

x = 1.125

Which statement about this figure is true?

Answers

I'd have to say it Has Reflectional Symmetry.

Can someone help me please!!?

Answers

Answer:

Step-by-step explanation;

1. 41%=0.41=K

2. 23%=0.23=F

3. 98%=0.98=D

4. 67%=0.67=E

5. 34%=0.34=A

6. 12%=0.12=G

7. 48%=0.48=B

8. 76%=0.76=J

A. 3/10=0.3

B. 1/2=0.5

C. 1/4=0.25

D. 5/5=1

E. 2/3=0.67

F. 1/3=0.33

G. 1/10=0.1

H. 3/4=0.75

I. 9/10=0.9

J. 4/5=0.8

K. 2/5=0.4

Which interval would not be used for the stems of a stem-and-leaf plot? 10 100 1 5

Answers

Answer:

i think it's 100

Step-by-step explanation:

100 is the interval which would not be used for the stems of a stem-and-leaf plot.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.

The stem represents the largest common place value of the numbers being plotted.

If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.

The stem values would be 1, 2, 3, and 4.

Therefore, the interval for the stems should be determined by the range of the data set.

Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ3

Please help me I would appreciate it

Answers

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

What is the area of the obtuse triangle below?
다​

Answers

Answer

B. 49.5 sq. units

Explanation

An area of a triangle is

B • H / 2

Where b = base and h = height.

Substitute base = 11 and h = 9

9 • 11 / 2 = 49.5

<~>\_/<~> Ho_odini <~>\_/<~>
49.5 because you aren’t all the way at 9 I have no other way to explain it

Should I use SAS (side angle side) or SSS (side side side) to see if the triangles are congruent? AND WHY?

Answers

U should use sas to see if the triangles are congruent

Maria is making a stained glass window using glass tiles. Each tile is 1/4 inch by 1/4 inch. The window is 14 inches wide by 20 inches long.. How many glass tiles will Maria need to make her stained glass window?

answer choices
4,480
2,240,
1,120
280

Answers

Answer:

4,480

Step-by-step explanation:

In the above question, we are told that the measurements of the stained glass windows Maria intends to make is 14 inches wide by 20 inches long.

Step 1

We find the area of the window

Length × Width ( Breadth)

= 20 × 14 = 280 square inches

Step 2

The tiles that she intends to use has the following measurements

1/4 inch by 1/4 inch

The Area of these glass tiles = 1/4 × 1/4 = 1/16 square inches.

Step 3

Finally to calculate the number of tiles that she would required to make the stained glass window =

Area of the window ÷ Area of the glass tiles

= 280 square inches ÷ 1/16 square inches

= 4,480

Therefore, Maria would be needing 4,480 glass tiles to make her stained glass window.

Need Help Please I'm Out Of Time ;( The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units ______ the origin and 7 units ______ the origin 1st Blank Choices: A. Above B. To The Left Of C. Below D. To The Right Of 2nd Blank Choices: A. Above B. To The Left Of C. Below D. To The Right Of

Answers

Answer:

Left, Up

Step-by-step explanation:

Since -2 is to the left of 0 on the x-axis, we are moving left 2 units.

Since 7 is above 0 on the y-axis, we are moving up 7 units.

Answer:

The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units left of the origin and 7 units up the origin 1st Blank

I need help with this sum

Answers

Hello there! :)

Answer:

D. [tex](\frac{3 }{2}, 2)[/tex]

Step-by-step explanation:

Use the midpoint formula to solve:

[tex](x_{m}, y_{m} ) = (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2}}{2})[/tex]

Plug in the points shown:

[tex](\frac{0+3 }{2}, \frac{4+0}{2})[/tex]

Simplify:

Midpoint coordinates at [tex](\frac{3 }{2}, 2)[/tex]

Midpoint coordinate at 3/2,2

Find the inequality represented by the graph?

Answers

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.

The linear function can be found by using the point-slope formula:

[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:

[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]

[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

We kindly invite to check this question on inequalities: https://brainly.com/question/15137133

a storybook is sold at a discount of 20%. If the discount is $3, what is the selling price of the storybook

Answers

Answer:

Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.

We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.

0.2x = 3

Divide both sides by 0.2.

x = 3/0.2

x = 15

The regular price is $15.

Answer:

12

Step-by-step explanation:

x = original price

x* 20% = 3

Change to decimal form

x*.2 = 3

Divide each side by .2

x*.2 /.2 = 3/.2

x =15

The original price is 15

Selling price is 15-3 = 12

Honeydew lemons sell in a market place for $24.95 per box. One box contains 9 melons. How much would you have to pay for 17 melons?​

Answers

Answer:

47.13 for 17 melons

Step-by-step explanation:

We can use a ratio to solve

24.95               x dollars

---------------- = ----------------

9 melons          17 melons

Using cross products

24.95 * 17 = 9x

Divide by 9

24.95 * 17/9 = x

47.127777777 = x

Rounding to the nearest cent

47.13 for 17 melons

Answer:

$47.12

Step-by-step explanation:

We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.  

I need help plz 6.2(a+5)-2a+1.2

Answers

Answer:

4.2a+32.2

Solution,

[tex]6.2(a + 5) - 2a + 1.2 \\ = 6.2 \times a + 6.2 \times 5 - 2a + 1.2 \\ = 6.2a + 31 - 2a + 1.2 \\ = 6.2a - 2a + 31 + 1.2 \\ = 4.2a + 32.2[/tex]

Hope this helps.

Good luck on your assignment...

Which of the following systems has equations that are dependent?

1. 2x + 2y = 6
4x + 4y = 4

2. 2x + 2y = 6
2x - 2y = 6

3. y = -x+3
y = -x-3

4. 2x+2y = 6
y = -x + 3

Answers


Answer : number 4 is a dependent system
Explanation:
If we look at number 4
2x+2y=6 , y= -x+3
2(x+y)=6
x+y=6/2=3
y=-x+3

Now we see that the two equation have the same slope (-x) and the same y intercept (+3) we can clearly say that these 2 equation are dependent because it has infinite solution

Is the graph increasing, decreasing, or constant?

A. Decreasing
B. Constant
C. Increasing

Answers

Answer:

A: the graph is decreasing

The graph is decreasing because the slope is negative. Then the correct option is A.

What is increasing and decreasing of function?

If the value of y increases as the value of x increases, then increasing function.

And if the value of y decreases as the value of x increases, then decreasing function.

In the graph, as the value of x increases, the value of y decreases.

The graph is decreasing because the slope is negative.

Then the correct option is A.

More about the increasing and decreasing of function link is given below.

https://brainly.com/question/14330051

#SPJ5

What is the value of f(6) in the function below?
f(x) = 2x
HELP ASAP PLS

Answers

Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

Find CE. Please explain step by step!

Answers

Answer:

30

Step-by-step explanation:

We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.

Answer:

Step-by-step explanation:

BE=BC=25 in

trg BCE isosceles so CE=2✓25^2-20^2

=2"✓625-400=2*✓225=2*15

CE=30

To the nearest tenth of a square centimeter, what is the
surface area of the cone if the radius of its base is 5 cm and
its height is 12?

Answers

Answer: approximately 282.7 square cm

Work Shown:

SA = surface area of cone

SA = pi*r^2 + pi*r*sqrt(r^2 + h^2)

SA = pi*5^2 + pi*5*sqrt(5^2 + h^2) ... plug in r = 5

SA = pi*5^2 + pi*5*sqrt(5^2 + 12^2) ... plug in h = 12

SA = pi*25 + pi*5*sqrt(169)

SA = 25pi + 5pi*13

SA = 25pi + 65pi

SA = 90pi .... exact surface area in terms of pi

SA = 282.743338823081 .... see note below

SA = 282.7

note: this is the approximate surface area. I used the calculator's stored value of pi, rather than something like pi = 3.14; that way the surface area is as accurate as possible. Your teacher may want you to use pi = 3.14 though, which is why its a good idea to ask and clarify.

Gemma is creating a histogram based on the table below. Salary Range Number of People 0 - $19,999 40 $20,000 - $39,999 30 $40,000 - $59,999 35 Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized? 0–50 0–40 10–50 25–40

Answers

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~

Your answer would be (D) 25–40

Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.

Thus, (D) is the correct answer.

Answer:

Its D

Step-by-step explanation:

for all the ppl who don't care how they got it

Consider the polynomial function g(x)=5x^6+x^5+9x^3-12x-125 What is the end behavior of the graph of g?

Answers

Answer:

As x —> infinity, g(x)—> infinity, and as x —> Negative infinity, g(x) —> Infinity

Step-by-step explanation:

Because

The end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

What is a polynomial function?

A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The given function is g(x)=5x ⁶+x⁵+9x³-12x-125 will have the end behavior of the graph as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

Therefore, the end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

To know more about polynomial functions follow

https://brainly.com/question/2833285

#SPJ2

Other Questions
A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. When the price is lowered to $6, the average attendance rose to 39000. Find a demand function, D(q), where q is the quantity or number of spectators and D(q) is linear. Can someone help me with this? This is my summer school work, i'm failing miserably and I don't understand this at all. express -64/112as a rational number with denominator 7. plz explain Bob has saved $315 each month for the last 6 years to make a down payment on a house. The account earned an interest rate of .41 percent per month. How much money is in Bob's account Consider the following set of sample data: (34, 32, 34, 32, 40, 37, 31, 31, 29, 27). We're interested in using this data to test a null hypothesis about the population mean. Which of the following statements are true?I. Assuming this represents a random sample from the population, the sample mean is an unbiased estimator of the population mean.II. Because they're robust, t procedures are justified in this case.III. We'd use zprocedures here, since we're interested in the population mean.a. I onlyb. II onlyc. III onlyd. I and II onlye. I and III only Solve for g 6(2g1)=(13g+2) g = A girl weighing 600 N steps on a bathroom scale that contains a stiff spring. In equilibrium, the spring is compressed 1.0 cm under her weight. Find the spring constant and the total work done on it during the compression. The statistic in the last sentence helps develop the idea that bicycle racing was a popular sport in the 1880s and 1890s by showing that: A - the success of the first cycling periodical in 1877 quickly led to the publication of many more cycling magazines. B - the rapid increase in publications about cycling was directly responsible for Americans growing interest in bicycles. C - Americans became interested in cycling around the same time that the publication industry began to flourish. D - Americans fascination with the bicycle influenced the rapid growth that occurred in the publication industry. (If you don't intend to actually answer, please just keep scrolling. go troll elsewhere.) What is the main purpose of Roosevelt's list of additional attacks? (5 points) Group of answer choices To create a sense of fear in listeners To further develop the sense of betrayal To recruit allies in the other countries To suggest a plan of retaliation Rarely, the conjugation of Hfr and F cells produces two Hfr cells. Explain how this event takes place. A vehicle experiences hard shifting. Technician A says that the bell housing may be misaligned. Technician B says that incorrect oil may have been put in the transmission. Who is correct? Group of answer choices The graph of f(x) = 4x3 13x2 + 9x + 2 is shown below. On a coordinate plane, a function is shown. The function starts from the bottom of quadrant 3 and goes up through the x-axis at (0, negative 0.25) and then through the y-axis at (0, 2). It then starts to curve down at (0.5, 4) until it reaches (1.75, negative 0.5). It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3. How many roots of f(x) are rational numbers? 0 1 2 3 The CAL formed from the optimal risky portfolio will be __________ to the efficient frontier of risky assets. 50 points if you awnser my toher question judt copy snd paste the awnser in the other question for 50 points plzzz help i need this lesson done plz help 30 pointd brinlist thanks 5stars New Technology Leads to Bigger Cities In the 1800s, the United States was still a very young nation, trying to solidify its identity. The Industrial Revolution began in Great Britain, a fast development of society following the introduction of machines. The United States was slower than Great Britain to fully embrace the changes. Yet key technological developments caused a rapid growth in American urban areas. Better farming methods and tools in the 1800s increased food production. Americans were able to grow enough food for their families as well as to sell. The abundance caused food prices to fall. The expansion of cotton and the growth of textile factories in northern states helped produce the first wave of American industry. More people turned to work in northern factories as a way to support their families. Thousands of immigrants to the United States also settled in or near port cities, looking for work. Even today, the need for work is a common reason people move to urban areas. As a result, cities grew in numbers of people and physical space. As more people and businesses moved in, they needed buildings for living and working. They needed ways to move around the city. We call this process urbanization. In 1820, the United States had only a few cities of 10,000 residents or more. About seven percent of U.S. residents lived in urban areas. The number of cities with more than 10,000 people grew quickly over the next 40 years, especially in the Northeast and Midwest. By 1860, about 20 percent lived in cities. Philadelphia and New York City were the most populated cities in 1860 and would soon reach one million residents. The urbanization of the United States quickened due to technology improvements. Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas. Select a sentence from the body of this article that can be removed without affecting the author's explanation. Place the sentence in quotes and explain why it is an unnecessary detail. Which one of the following risks can be progressively eliminated by adding stocks to a portfolio?a. Systematic risk. b. Unique risk. c. Market risk. d. Inflation rate risk Suppose A is a 5times7 matrix. How many pivot columns must A have if its columns span set of real numbers RSuperscript 5? Why? A parallel-plate capacitor has a plate separation of 1.5 mm and is charged to 450 V. 1) If an electron leaves the negative plate, starting from rest, how fast is it going when it hits the positive plate Find the value of the discriminant (D) and describe the roots for the quadratic equation shown below.y= ax + bx + cy= x + 3x-4A. D= -7 and the roots are irrational.B. D = 22 and the roots are irrational.C. D= 25 and the roots are rational.D. D=5 and the roots are rational. How do I solve this? Question #36: Which phrase does not agree with the verb in the sentence? __________ wins every dance contest. A. My sisters B. Her sister-in-law C. The Step-it-up Sisters captain D. My sister