if the linear function is f(x) =3x +10 then the value of 3 could represent?

Answers

Answer 1

Answer: slope

Step-by-step explanation:

In the linear function, f(x) =3x +10 the 3 represents the slope of the line


Related Questions

8. T : R 2 ---+ R 2 first reflects points through the horizontal x 1-
axis and then reflects points through the line x2 = x 1•

Answers

Answer:

Thats nice

Step-by-step explanation:

Select all the correct answers.Which vectors are unit vectors?1 一32l -一》《完,表》口 u={1, 1}1-(美)

Answers

The unit vector has a magnitude = 1

So, for the given vectors, we will find the magnitude of every vector

[tex]\begin{gathered} u=<\frac{\sqrt[]{3}}{2},-\frac{1}{2}> \\ |u|=\sqrt[]{(\frac{\sqrt[]{3}}{2})^2+(-\frac{1}{2})^2}=\sqrt[]{\frac{3}{4}+\frac{1}{4}}=\sqrt[]{\frac{4}{4}}=\sqrt[]{1}=1 \end{gathered}[/tex]

So, it is a unit vector

[tex]\begin{gathered} u=<-\frac{2}{\sqrt[]{5}},\frac{1}{\sqrt[]{5}}> \\ |u|=\sqrt[]{(-\frac{2}{\sqrt[]{5}})^2+(\frac{1}{\sqrt[]{5}})^2}=\sqrt[]{\frac{4}{5}+\frac{1}{5}}=\sqrt[]{\frac{5}{5}}=1 \end{gathered}[/tex]

So, it is a unit vector

[tex]\begin{gathered} u=<1,1> \\ |u|=\sqrt[]{1^2+1^2}=\sqrt[]{1+1}=\sqrt[]{2}=1.414 \end{gathered}[/tex]

So, it is not a unit vector

[tex]\begin{gathered} u=<-\frac{5}{\sqrt[]{6}},\frac{1}{\sqrt[]{6}}> \\ |u|=\sqrt[]{(-\frac{5}{\sqrt[]{6}})^2+(\frac{1}{\sqrt[]{6}})^2}=\sqrt[]{\frac{25}{6}+\frac{1}{6}}=\sqrt[]{\frac{26}{6}}=2.08 \end{gathered}[/tex]

So, it is not a unit vector

So, the correct options are: 1 and 2

Ten light bulbs were in a chandelier. Three-fifths of the bulbs were shining. What fraction of the light bulbs were not shining?​

Answers

2/5 of bulbs were not shining. It is equal to 4 bulbs.

Step-by-step explanation:

10/10 bulbs equals all 10 bulbs. 3/5 were shining, that is equal to 6/10 of all ten bulbs. (or 60%). 60% of ten is 6 bulbs shining.The number of bulbs that werent shining is 10 - 6=4.

The radius of a cylinder is 8cm. it's height is three times it's radius. What is the surface area of the cylinder? No pictures available

Answers

[tex]\begin{gathered} \text{Given} \\ r=8\text{ cm} \\ h=3r=3(8\text{ cm})=24\text{ cm} \end{gathered}[/tex]

Recall that the surface area of the cylinder is

[tex]\begin{gathered} SA=2\pi rh+2\pi r^2 \\ \text{where} \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}[/tex]

Given the following

radius of 8 cm, and height of 24 cm (3 times the radius), then the surface area of the cylinder is

[tex]\begin{gathered} SA=2\pi rh+2\pi r^2 \\ SA=2\pi(8\text{ cm})(24\text{ cm})+2\pi(8\text{ cm})^2 \\ SA=384\pi\text{ cm}^2+128\pi\text{ cm}^2 \\ SA=512\pi\text{ cm}^2 \\ \; \\ \text{Therefore, the surface area of the cylinder is }512\pi\text{ cm}^2 \end{gathered}[/tex]

5. The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Right Hand Sum Approximation, using the intervals between those given points. (4 points)x1012151920f(x)-2-5-9-12-16A -9.250B -10.100C-7.550D-6.700

Answers

Given the following question:

15.4-32+(60/3*166)*8 divided by 4-(2*61)

Answers

The 15.4-32+(60/3*166)*8 divided by 4-(2*61) is -224.94.

As per the PEMDAS rule, firstly solving the parenthesis in the numeral : 15.4-32+(60/3*166)*8

Performing division in parenthesis

Number = 15.4 - 32 + (20×166) × 8

Performing multiplication in parenthesis

Number = 15.4 - 32 + 3320 × 8

Performing multiplication and subtraction

Number = - 16.6 + 26,560

Performing subtraction

Number = 26,543.4

Number = 4 - (2×61)

Performing multiplication in parenthesis

Number = 4 - 122

Performing subtraction

Number = - 118

Performing division now

Result = 26,543.4 ÷ -118

Result = -224.94

The number obtained on division will be -224.94.

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255 is 88% of what? Round to the nearest tenth.

Answers

Answer:

289.8.

Explanation:

Let the number = x

Then, it implies that:

[tex]88\%\text{ of }x=255[/tex]

Next, solve for x:

[tex]\begin{gathered} \frac{88}{100}\times x=255 \\ 88x=25500 \\ x=\frac{25500}{88} \\ x=289.8 \end{gathered}[/tex]

The number is 289.8 to the nearest tenth.

Kathy and Cheryl are walking in a fundraiser. Kathy completes the course in 3.6 hours and Cheryl completes the course in 6 hours. Kathy walks two miles per hour faster than Cheryl. Find Kathy's speed and Cheryl's speed in miles per hour.

Answers

Answer:

Explanation:

Here is what we know;

Both Kathy and Cheryl cover the same distance ( one course).

Kathy completes the course in 3.6 hours.

Kathy's speed is 2 miles/hour faster than Cheryl's

Cheryl completes the course in 6 hours

Cheryl's speed is yet unkown.

Now, the speed v is defined as

[tex]v=\frac{D}{t}[/tex]

where D is the distance covered and t is the time taken.

Now, let us say D = distance of one course. Then in Kathy's case, we have

[tex]v_{\text{kathy}}=\frac{D}{3.6hr}[/tex]

since Kathy's speed is 2 miles per hour faster than Cheryl's, we have

[tex]v_{\text{kathy}}=\frac{D}{3.6}=2+v_{\text{cheryl}}[/tex]

For Cheryl, we know that

[tex]v_{\text{cheryl}}=\frac{D}{6hr}[/tex]

or simply

[tex]v_{\text{cheryl}}=\frac{D}{6}[/tex]

Putting this into the equation for Kathy's speed gives

[tex]v_{\text{kathy}}=\frac{D}{3.6}=2+v_{\text{cheryl}}\Rightarrow v_{\text{kathy}}=\frac{D}{3.6}=2+\frac{D}{6}[/tex][tex]\Rightarrow\frac{D}{3.6}=2+\frac{D}{6}[/tex]

We have to solve for D, the distance of a course.

Subtracting D/6 from both sides gives

[tex]\frac{D}{3.6}-\frac{D}{6}=2[/tex][tex](\frac{1}{3.6}-\frac{1}{6})D=2[/tex][tex]\frac{1}{9}D=2[/tex][tex]D=18\text{miles}[/tex]

Hence, the distance of a course is 18 miles.

With the value of D in hand, we can now find the velocity of Kathy and Cheryl.

[tex]v_{\text{cheryl}}=\frac{D}{6hr}=\frac{18\text{miles}}{6hr}[/tex][tex]\Rightarrow\boxed{v_{\text{cheryl}}=3\text{ miles/hr}}[/tex]

Hence, Cheryl's speed is 3 miles/hr.

Next, we find Kathy's speed.

[tex]v_{\text{kathy}}=\frac{D}{3.6hr}=\frac{18\text{miles}}{3.6hr}[/tex][tex]\boxed{v_{\text{kathy}}=5\text{miles}/hr\text{.}}[/tex]

Hence, Kathy's speed is 5 miles/hr.

Therefore, to summerise,

Kathy's speed = 5 miles/hr

Cheryl's speed = 3 miles/hr

which of the following values is the solution to the equation -16 + x equals 30

Answers

If we have the equation:

[tex]-16+x=30[/tex]

We can solve it as follows:

1. Add 16 to both sides of the equation (addition property of equality):

[tex]-16+16+x=30+16[/tex]

Then, we have:

[tex]x=30+16\Rightarrow x=46[/tex]

Therefore, the value for x is equal to 46 (x = 46). We can check this as follows:

[tex]-16+46=30\Rightarrow30=30[/tex]

We substituted the value, x = 46, in the original equation. This is always TRUE. Therefore, the value for x = 46.

Fitness Works charges a $20 monthly fee, plus $5 for each class you take. Gym-tastic charges$100 monthly fee, and offers FREE unlimited classes. How many classes do you have to take forthe cost to be the exact same at both gyms?

Answers

Let us assume that the number of classes is x and the total fee is y

In the Fitness works, there is a monthly fee of $20 and $5 per class, then

The total fee y = 20 + 5(x), then

y = 20 + 5x ------ (1)

In the Gym-tastic, there is a monthly fee of $100 for unlimited classes, then

y = 100 ------- (2)

Equate (1) and (2)

20 + 5x = 100

Subtract 20 from both sides

20 - 20 + 5x = 100 - 20

5x = 80

Divide both sides by 5 to find x

x = 16

The number of the classes is 16

Question 5 of 6Which exponential expression is equivalent to the one below?(22• (-7))40A. 40 • (22• (-7))O B. (22) • (-7)40C. (22)40 + (-7) 40D. (22)40 . (-7)40+SUBMIT

Answers

Okay, here we have this:

Considering the provided expression, we are going to analize which exponential expression is equivalent, so we obtain the following:

As the property of the exponent of a multiplication says that it is equal to the product of each number raised to that power. We have this:

[tex]\begin{gathered} \mleft(22\cdot\mleft(-7\mright)\mright)^{40} \\ =(22)^{40}\cdot(-7)^{40} \end{gathered}[/tex]

Finally we obtain that the correct answer is the option D.

In standard notation, 208.06 is written as:

Answers

Answer:

[tex]2.0806 * 10^{2}[/tex]

Step-by-step explanation:

Standard notation, also known as scientific notation, is when the whole number can only be [tex]1\leq 0 < 10[/tex]. The rest of the number is behind the decimal point.

write each of the following numbers line position as fraction with Demeter 100 as decimals and also as percentages

Answers

Answer:

Explanation:

To write the given numbers as fractions of 100, percentages, and decimals, we first need to estimate their values on the number line. Once, we have the values of the numbers, we can write the as a fraction of 100 as

[tex]\frac{Num}{100}[/tex]

As percentages as

[tex]\frac{Num}{100}\times100[/tex]

And as decimals as

[tex]Num\div100[/tex]

(a).

The estimate of the value of three numbers is 27, 45, 67.

Writing the above as fractions of 100 gives

[tex]\frac{27}{100},\frac{45}{100},\frac{67}{100}[/tex]

As a percentage, these numbers are

[tex]\frac{27}{100}\times100,\frac{45}{100}\times100,\frac{67}{100}\times100[/tex][tex]\rightarrow27\%,45\%,67\%[/tex]

To write the numbers as decimals we divide them by 100 to get

[tex]0.27,0.45,0.67[/tex]

(remember that dividing by 100 shifts the decimal point to the left by 2 digits)

(b).

The estimate of the values of the three numbers are 57, 74, and 89

Writing these numbers as fractions gives

[tex]\frac{57}{100},\frac{74}{100},\frac{89}{100}[/tex]

As a percentage these numbers are

[tex]\frac{57}{100}\times100,\frac{74}{100}\times100,\frac{89}{100}\times100[/tex][tex]57\%,74\%,89\%[/tex]

And as decimals

[tex]0.57,0.74,0.89[/tex]

(c).

The estimate of the value of the three numbers is 22, 36, 55.

Writing them as a fraction gives

[tex]\frac{22}{100},\frac{36}{100},\frac{55}{100}[/tex]

As a per cent these numbers are written as

[tex]undefined[/tex]

30. Figure A has an area of 18 sq. ft. Figure B has anarea of 98 sq. ft. and one side length is 14 ft. What isthe corresponding side length of Figure A?

Answers

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem

Figure A and Figure B are similar

so

step 1

Find out the scale factor

scale factor^2=18/98

scale factor=√(18/98)

step 2

To find out the corresponding side length of Figure A, multiply the side length of figure B by the scale factor

so

14*√(18/98)=6

the answer is 6 ft

what products of 37 and 4

Answers

A product is the result of a multiplication between 2 numbers:

37 x 4 = 136

If the GCF of the nurmerator and the denominator is 1, then the fraction is in __

Answers

Recall that a fraction is of the form

[tex]\frac{a}{b}[/tex]

where a is the numerator and b is the denominator. The GCF of two numbers is the biggest number that is less than both numbers and that it divides them without any remainder. When the GCF of the numerator and the denominator is 1. This means that we cannot find a common factor for both numbers, so we cannot cancel any more factors. This leads to the fact that the fraction is irreducible or that it is in its simplest form.

let E b the event where the sun of two rolled dice is greater than or equal to 3. lost the outcomes in E^c

Answers

We have the event E defined as:

E: The sum of two rolled dice is greater than or equal to 3

The event E^c is the negation of the event E. Then:

E^c: The sum of two rolled dice is smaller than 3

For two dice, the minimum sum is 2, so this is equal to the event "the sum of two rolled dice is 2". There is only one outcome:

Dice 1: 1

Dice 2: 1

Sum: 2

Then, the only possible outcome for E^c is {1, 1}

Which sentence is true about an equilateral triangle?

Answers

In Equilateral triangle all sides are equal.

7. The positive interval (s) of the functiony=-x ²1 are

Answers

Let's graph the function and find the positive intervals, as follows:

Therefore, the interval is : (-∞ , +-∞)

What is the quotient of the complex numbers below?A.10 - iB.2 - iC.2 + iD.10 + i

Answers

The given fraction is

[tex]\frac{7+i}{3-i}[/tex]

We will multiply up and down by the conjugate of down (3 + i)

[tex]\begin{gathered} \frac{7+i}{3-i}\times\frac{3+i}{3+i}= \\ \\ \frac{(7+i)(3+i)}{(3-i)(3+i)}= \\ \\ \frac{(7)(3)+(7)(i)+(i)(3)+(i)(i)}{(3)(3)-(i)(i)}= \end{gathered}[/tex]

Add the like terms

[tex]\begin{gathered} \frac{21+7i+3i+i^2}{9-i^2}= \\ \\ \frac{21+10i-1}{9-(-1)}= \\ \\ \frac{20+10i}{9+1}= \\ \\ \frac{20+10i}{10} \end{gathered}[/tex]

Take 10 as a common factor from up

[tex]\begin{gathered} \frac{10(2+i)}{10}= \\ \\ 2+i \end{gathered}[/tex]

The answer is C

Use square roots for the problem. Which equation(s) have -4 and 4 as solutions? Select all that apply

Answers

Answer: [tex]\begin{gathered} 2x^2\text{ = 32 \lparen option C\rparen} \\ -3x^2\text{ = -48 \lparen option D\rparen} \\ 27\text{ - 5x}^2\text{ = -53 \lparen option F\rparen} \end{gathered}[/tex]

Explanation:

Given:

Different equations

To find:

the equation whose solutions have -4 and 4

To determine the equations with solutions -4 and 4, we will solve each of th given equation

[tex]\begin{gathered} a)\text{ x}^2\text{ = 8} \\ x\text{ = }\pm\sqrt{8}\text{ = }\pm\sqrt{4\times2} \\ x\text{ = }\pm\text{2}\sqrt{2}\text{ \lparen not a solution of -4 and 4\rparen} \end{gathered}[/tex][tex]\begin{gathered} b)\text{ x}^2\text{ + 16 = 0} \\ x^2=\text{ -16} \\ x\text{ = }\pm\sqrt{-16} \\ root\text{ of -16 gives a complex number. Hence, no solution of -4 and 4} \end{gathered}[/tex][tex]\begin{gathered} c)\text{ 2x}^2\text{ = 32} \\ divide\text{ both sides by 2:} \\ x^2\text{ = }\frac{32}{2} \\ x^2\text{ = 16} \\ x\text{ = }\pm\sqrt{16}\text{ = }\pm4 \\ x\text{ = 4 and -4} \end{gathered}[/tex][tex]\begin{gathered} d)\text{ -3x}^2\text{ = -48} \\ divide\text{ both sides by -1:} \\ division\text{ of same signs give positive sign} \\ 3x^2\text{ = 48} \\ x^2\text{ = 48/3} \\ x^2\text{ = 16} \\ x\text{ = }\pm\sqrt{16}\text{ = }\pm4 \\ x\text{ = 4 and - 4} \end{gathered}[/tex][tex]\begin{gathered} e)\text{ }6x^2\text{ + 56 = -40} \\ 6x^2\text{ = -40 - 56} \\ 6x^2\text{ = -96} \\ x^2\text{ = -96/6} \\ x^2\text{ = -16} \\ x\text{ = }\pm\sqrt{-16} \\ root\text{ of a negative number gives a complex number.} \\ Hence,\text{ no solution of -4 and 4} \end{gathered}[/tex][tex]\begin{gathered} f)\text{ 27 - 5x}^2\text{ = -53} \\ add\text{ 5x}^2\text{ }to\text{ both sides:} \\ 27\text{ - 5x}^2+\text{ 5x}^2\text{ = -53 + 5x}^2 \\ 27\text{ = -53 + 5x}^2 \\ \\ add\text{ 53 to btoh sides:} \\ 27\text{ + 53 = 5x}^2 \\ 80\text{ = 5x}^2 \\ divide\text{ both sides by 5:} \\ \frac{80}{5}=\text{ x}^2 \\ x^2\text{ = 16} \\ x\text{ = }\pm\sqrt{16}\text{ = }\pm4 \\ x\text{ = 4 and -4} \end{gathered}[/tex]

Create a table to show the relationship of values of X and values of y

Answers

We have to complete a table with some points (x,y) from the line that is represented in the graph.

To do that we choose a value of x and wee which value of y corresponds to that value of x in the line.

For example, we can do it for x = 1 as:

Then, we have one point for the table: when x = 1, y = -9.

We can repeat this process for some points of x:

x | y

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

-4 | 1

-3 | -1

-2 | -3

-1 | -5

0 | -7

1 | -9

2 | -11

We can see that for each unit increase in x, the value of y decreases by 2. This indicates that the slope is m = -2.

Also, for x = 0, y = -7. Then b = -7 is the y-intercept.

hello so which equivalent to [tex]30 \div (3 + )[/tex]

Answers

Answer:

G. 30 ÷ (x+3)

Explanation:

Given the expression:

[tex]30\div(3+x)[/tex]

From the given options, note that:

[tex]3+x=x+3[/tex]

Therefore, an equivalent expression is:

[tex]30\div(x+3)[/tex]

The correct choice is G.

I need help with this I have only questions1. Where is y when x is 02. find f(-4)3. what is x when y is 4?4. What is X when f(X)=0? There are two answers put the smaller number in the first answer blank ____ and ____

Answers

1) y = 1 2) y =3 3) x = -3 4) y= -7 and y = 1

We are to answer the questions stated using the graph:

1) From the graph, when x = 0:

To understand this, check the point on the line that only lies on y

y = 1

2) f(-4) is the same as what is the value of y when x = -4

This is because f(x) = y

From the graph, when x = -4

y = 3

3) From the graph, when y =4

Trace the value of y=4 on the line to get corresponding x value:

x= -3

4) When f(x) = 0

This means what is the value of x when y = 0. This is because f(x) = y.

From the graph, we have two values of x when y = 0

y = -7

y = 1

To fill the blank spaces starting with the smaller number:

-7 and 1

Which of these is a point-slope equation of the line that is perpendicular toy-25 = 2(x-10) and passes through (-3,7)?-O A. y+ 7 = 2(x-3)O B. y- 7 = -2(x+3)O C. y-7=-(x+3)O D.y+7=-1(x-3)-

Answers

We have to find the equation of the line, in point-slope form, that is perpendicular to y - 25 = 2(x - 10) and passes through (-3,7).

The line y - 25 = 2(x - 10) has a slope m = 2.

Perpendicular lines have slopes that are negative reciprocals, so our line will have a slope that is:

[tex]m=-\frac{1}{m_p}=-\frac{1}{2}[/tex]

Then, we have the slope m = -1/2 and the point (-3,7), so we can write the point-slope form of the equation as:

[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-7=-\frac{1}{2}(x-(-3)) \\ y-7=-\frac{1}{2}(x+3) \end{gathered}[/tex]

Answer: y - 7 = -1/2 * (x + 3) [Option C]

This is algebra 2 ( function graphs) I’m usually okay with math but I been I of school recently for surgery and forgot a little bit I just need a refresher

Answers

The red function has the form of:

[tex]f(x)=\sqrt[]{-x+1}[/tex]

In order to obtain the green function, we need to do a reflection over y-axis, then a translation one unit to the right, a translation 1 unit down, and finally a reflection over the x-axis, so:

[tex]\begin{gathered} g(x)=-(\sqrt[]{-(-x)+1-1}-1) \\ g(x)=-\sqrt[]{x}+1 \end{gathered}[/tex]

I have no idea how to solve this I have to find the missing terms outside the box

Answers

Notice that:

[tex]\begin{gathered} 18x^3=3x\times6x^2, \\ -3x^2=3x\times(-x), \\ 27x=3x\times9. \end{gathered}[/tex]

Answer:

P(x)=(x+5)(x-5) and q(x)=(x+3)(x-3) where do the graphs of the two intersects

Answers

For the equation P(x)=(x+5)(x-5) and q(x)=(x+3)(x-3) the graph of the two equation never intersect each other.

What is a conic section?

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (a circle is a special type of ellipse).

The given equations are,

P(x)=(x+5)(x-5)

q(x)=(x+3)(x-3)

Parabola is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

The given equation represents a parabola as the equation is graphed we see that the graph of the two never intersects each other.

Thus,for the equation P(x)=(x+5)(x-5) and q(x)=(x+3)(x-3) the graph of the two equation never intersect each other.

Learn more about the conic section here:

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HELP PLEASE THIS IS DUE. I been asking for a while but I just get spam answers.

Answers

Answer:

y = 12

Step-by-step explanation:

Consider the triangles in the diagram. Triangle QRS (the smaller one on the left) and Triangle PRO (the whole shape)

These two triangles are similar. It helps to write them separately. See image.

You can use a proportion (two ratios equal to each other) to solve this.

There are two good ways to set up an equation.

EITHER:

bottomLeg/sideLeg=bottomLeg/sideLeg

OR

smallbottom/bigbottom=smallside/bigside

see image.

Either way you set it up the answer comes out the same. Pretty much all the work is the same after you crossmultiply.

Solve 9/y = 12/16

OR 9/12 = y/16

see image.

what is the solution for 7+k<35

Answers

We are given the following inequation:

[tex]7+k<35​[/tex]

To find the solution we need to subtract 7 to both sides, like this:

[tex]\begin{gathered} 7-7+k<35-7 \\ k<28 \end{gathered}[/tex]

Therefore, the solution is the values of "k" smalled than 28.

Other Questions
VOn December 13, 2007, one U.S. dollar was worth 0.69 euro.(a) On that date, how many dollars was 71.33 euro worth?Round your answer to the nearest hundredth of a dollar.dollars(b) On that date, how many euro was 117.99 dollars worth?Round your answer to the nearest hundredth of a euro.I need help with both of these math problems. If a piece of metal, such as calcium or magnesium, reactw with atmospheric oxygen, would you expect the product to have a greater or lesser mass than the reacting metal Cada junio en Nueva York, hay un desfile que celebra la herencia y la culturapuertorriquea. Este desfile es una oportunidad para expresarque sienten lospuertorriqueos. Muchos puertorriqueos usan la bandera y otros smbolos de PuertoRico durante este desfile. O el patriotismoO la religinO la feO el gobierno Describe how "civic virtue" relates to culture and society in the thirteen colonies. HELP! Kealey will participate in a classroom discussion in which students share their results from a week-long chemistry experiment.Which actions can Kealey take to prepare for the discussion? Select THREE options.bringing notes about her findingssupporting her findings with evidencefocusing on only her experiment resultsreading and reviewing classroom materialsconducting research on non-related chemistry topics using long divisionhelo me please show your complete ssolutions how to solve linear equations for example 7x-(x-3)=4x-2 4. Who is Anne Hutchinson? What does the narrator's mention of her at this specific moment convey about the narrator's attitude toward the Puritans' act of jailing such a person? What specific word or phrase shows the reader this attitude? What magical act does the narrator imply she might have been responsible for? Helpppp plaaawhat is the first chemical test would a chemist perform to help a biologists test his hypotheses about how the fish make the water to acidity A clothing company wants to expand into new regions. It is looking at an urban area with a large number of vacant warehouses. The population is made up of people with average educations and a lower standard of living. The company is experiencing slower sales but has hopes that product will take off and be successful.Which of the factors of production will the company need to address most closely when making its decision to expand? Length = 2.4 yards; Height = 3.6 yards; Width = 4.2 yards. Find the surface area of a rectangular prism parents bring their 24-month-old child to the metropolitan area's family care clinic. the reason for the visit is to establish a primary healthcare provider (hcp) for the familys healthcare maintenance. the child also appears to be suffering from a cold, experiencing rhinorrhea noted to be thick and tenacious and a dry cough which the parent states began a couple of days ago. Find the value of k, if x 1 is a factor of p(x) i) (i) p(x) = x^2+x+k At a baseball game, a ball of m = 0.15 Kg moving at a speed of v = 30m/s is caught by a fan. a. Show that the impulse supplied to bring the ball to rest is 4.5 N x s. Remember to use the correct units (0.25pts)b. Show that if the ball is stopped in 0.02 s, then the average force of the ball on the catchers hand is 225 N. Remember to use the correct units. (0.25pts) Geena's hair grew 1 1/8 inches in 2 months. How many inches will her hair grow in 1 month? what does a flat horizontal line on a graph mean?a. the object is moving fast b. the object is motionlessc. the object is gaining speedd. the object is moving back to its original position bicyclists should use their arms to signal to other motorists when they are going to make a turn, or when they are slowing or stopping.a. Trueb. False An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.P(high-quality oil) = 0.45P(medium-quality oil) = 0.15P(no oil) = 0.40b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are given below.P(soil high-quality oil) = 0.20P(soil medium-quality oil) = 0.75P(soil no oil) 0.20Given the soil found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals).P(high-quality oil | soil)P(medium-quality oil | soil)P(no oil | soil)What is the new probability of finding oil (to 4 decimals)? What would cause the AMA of a machine to decrease?How could you increase the AMA of a machine? How did the Quantum Mechanical Model of the atom advance the Bohr's Model of the atom? Discuss how it addedto the Bohr Model and brought the Quantum Mechanical Model to be our current model of the atom.