Can somebody please help me

Can Somebody Please Help Me

Answers

Answer 1

Answer:

1) Cubic

2) 2

3) -3

4) [tex]\frac{1}{9}x^{3}[/tex]

5) [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

The given polynomial is:

[tex]\frac{1}{9}x^{3}-3[/tex]

The degree i.e. the highest exponent of the variable involved is 3. So the polynomial is a Cubic polynomial.

The terms in a polynomial can be distinguished by addition and subtraction symbols. So, for the given polynomial there are 2 terms.

The constant term is the term without any variable. So the constant term in given polynomial is -3.

Leading term is the term with variable having highest exponet which defines the degree of the polynomial. So leading term of the given polynomial is [tex]\frac{1}{9}x^{3}[/tex]

Leading coefficient is the coefficient of the leading term. So for given polynomial the leading coefficient would be [tex]\frac{1}{9}[/tex]


Related Questions

A cube has side length 0.7 metres.

Work out the total surface area of the cube.
Give your answer in square centimetres

Answers

6*0.7*0.7=2.94
6 sides; area of 1 side = length*width. Length = width = 0.7

Answer:

2.94cm^2

Step-by-step explanation:

If you're referring to the mathswatch question, this gets you 2/3 :)

Mixed 3 liters 20% solutions with 2 liters 70% solution. What’s the final concentration,

Answers

Answer:

(3×20%+2×70%)/3+2=40%

Step-by-step explanation:

Assuming the potions are the same type or do mix then probably the concentration of the potion depends on the type of reaction they have to each other.

Yet we can average the percentage of the active ingredient by the principle mentioned above

Answer:

The final concentration is 40%.

Step-by-step explanation:

Let x the concentration of final solution.

3 liters of solution (1) with 20% concentration is mixed with 2 liters of 70% solution producing (3 + 2) = 5 liters of x% mixture.

Now 3 × (20%) + 2 × (70% = 5 (x%)

3 × 0.2 + 2 × 0.7 = 5 (0.1x)

0.6 + 1.4 = 0.05x

2 = 0.5x

x = 2/0.05

= 40%

The final concentration is 40%.

Mr. Wilson wrote the function fx) = 7x - 15 on the chalkboard. What is the value of this function for f(6)?
A 27
B 37
C 42
D 57​

Answers

Answer: 27

Step-by-step explanation:

F(6)=42-15=27

Answer:

A 27

Step-by-step explanation:

f(x) = 7x - 15

Let x=6

f(6) = 7*6 -15

     = 42  -15

     = 27

In which pair of triangles is Triangle EFG=Triangle RTS?

Answers

Answer:

The last picture or

The picture with 3 lines on EF and TR, 1 line one EG, 1 line on SR, 2 lines on ST and 2 lines on GF

Step-by-step explanation:

Since EF and RT have 3 lines and FG and TS have 2 lines, they are similar

Answer:

Last pair of triangles represent congruence.

Step-by-step explanation:

If [tex]\triangle EFG \cong \triangle RTS[/tex], it can be deducted the following:

[tex]\angle E \cong \angle R\\\angle F \cong \angle T\\\angle G \cong \angle S[/tex]

Also,

[tex]EF \cong RT\\FG \cong TS\\EG \cong RS[/tex]

Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.

A set of equations is given below: equation C:y=5x+10 equation D:y=5x+2 which of the following best describes the solution to the given set of equations? One solution no solution two solutions infinitely many solutions

Answers

Answer:

The system has no solution

Step-by-step explanation:

we have

y=5x+10 -----> equation C

The slope of the equation C is m=5 and the y-intercept is b=10

y=5x+2 -----> equation D

The slope of the equation C is m=5 and the y-intercept is b=2

Remember that

If two lines are parallel, then their slopes are the same

Equation C and equation D are parallel lines with different y-intercept

therefore

The system has no solution (the lines do not intersect)

-3(6f - 12) = 36 - 18f

Answers

Answer:

Step-by-step explanation:

The given expression is:

-3(6f - 12) = 36 - 18f

To prove that L.H.S=R.H.S:

Multiply -3 (6f-12)

-3(6f)-3(-12)

=-18f+36

=36-18f

Hence it is proved that L.H.S = R.H.S....

Joe has one book each for algebra, geometry, history, psychology, Spanish, English and Physics in his locker. How many different sets of three books could he choose?

Answers

Answer:

There are 35 different sets of 3 books Joe could choose

Step-by-step explanation:

* Lets explain how to solve the problem

- Combination is a collection of the objects where the order doesn't

 matter

- The formula for the number of possible combinations of r objects from

 a set of n objects is nCr = n!/r!(n-r)!

- n! = n(n - 1)(n - 2)................. × 1

Lets solve the problem

- Joe has one book each for algebra, geometry, history, psychology,

 Spanish, English and Physics in his locker

∴ He has seven books in the locker

- He wants to chose three of them

∵ The order is not important when he chose the books

∴ We will use the combination nCr to find how many different sets

  of three books he can choose

- The total number of books is 7

n = 7

∵ He chooses 3 of them

r = 3

∵ 7C3 = 7!/3!(7 - 3)! = 7!/3!(4!)

∴ [tex]7C3=\frac{(7)(6)(5)(4)(3)(2)(1)}{[(3)(2)(1)][(4)(3)(2)(1)]}=35[/tex]

7C3 = 35

* There are 35 different sets of 3 books Joe could choose

The table shows the approximate height of a projectile x seconds after being fired into the air.


Which equation models the height, y, x seconds after firing?

y = –10(x)(x – 5)
y = 10(x)(x – 5)
y = –10(x – 5)
y = 10(x – 5)

time in seconds height meters
x y
0 0
1 40
2 60
3 60
4 40
5 0

Answers

The equation y = -10 (x) (x - 5) models the height.

Option A is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

66x = 8 is an equation.

We have,

From the table,

We can make ordered pairs in the form of (x, y).

(0, 0), (1, 40), (2, 60), (3, 60), (4, 40), (5, 0).

So,

We will choose the equation that satisfies the ordered pairs.

y = -10 (x) (x – 5)

This can be used as the equation.

For (0, 0), (1, 40), (2, 60), (3, 60), (4, 40), (5, 0)

i.e x = 0, 1, 2, 3, 4, 5

y = -10 x 0 = 0

y = -10 x 1 x -4 = 40

y = -10 x 2 x -3 = 60

y = -10 x 3 x -2 = 60

y = -10 x 4 x -1 = 40

y = - 10 x 5 x 0 = 0

y = 10 (x) (x - 5)

This can not be used since the y value is a negative value.

y = -10 (x – 5)

This is not possible.

y = 10 (x – 5)

This is not possible.

Thus,

The equation y = -10 (x) (x - 5) satisfy the given table values.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

To find which equation models the height of a projectile \( y \) seconds after being fired based on the given data, we can substitute the given x-values (time in seconds) into each equation and check whether the result matches the corresponding y-values (height in meters).
Let's go through each of the given equations and the provided points one by one:
1. Equation \( y = -10(x)(x – 5) \)
When \( x = 0 \), the height \( y \) should be 0.
Substituting the value into the equation, \( y = -10(0)(0 – 5) = 0 \), which matches the given point (0, 0).
When \( x = 1 \), the height \( y \) should be 40.
Substituting the value into the equation, \( y = -10(1)(1 – 5) = -10(-4) = 40 \), which matches the given point (1, 40).
When \( x = 2 \), the height \( y \) should be 60.
Substituting the value into the equation, \( y = -10(2)(2 – 5) = -10(-1) = 60 \), which matches the given point (2, 60).
When \( x = 3 \), the height \( y \) should be 60.
Substituting the value into the equation, \( y = -10(3)(3 – 5) = -10(-2) = 60 \), which matches the given point (3, 60).
When \( x = 4 \), the height \( y \) should be 40.
Substituting the value into the equation, \( y = -10(4)(4 – 5) = -10(-1) = 40 \), which matches the given point (4, 40).
When \( x = 5 \), the height \( y \) should be 0.
Substituting the value into the equation, \( y = -10(5)(5 – 5) = -10(0) = 0 \), which matches the given point (5, 0).
Since all the points match perfectly with the results from Equation 1, we confirm that Equation 1 models the height of the projectile accurately. Therefore, the correct equation is:
\( y = -10(x)(x – 5) \)
This quadratic equation represents a parabolic trajectory, which is typical for the motion of a projectile under gravity, with no air resistance, and assuming that the projectile lands at the same level from which it was fired.

18-r=12
[tex]18 - r = 12[/tex]

Answers

Answer:

r = 6

Step-by-step explanation:

18 - r = 12         subtract 18 from both sides

18 - 18 - r = 12 - 18

-r = -6            change the signs

r = 6

Check

18 - 6 = 12         CORRECT

which equation represents a circle?

Answers

Answer:

C

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius

Consider

[tex]\frac{x^2}{2^2}[/tex] + [tex]\frac{y^2}{2^2}[/tex] = 1, that is

[tex]\frac{x^2}{4}[/tex] + [tex]\frac{y^2}{4}[/tex] = 1

Multiply through by 4

x² + y² = 4 ← equation of circle

This is the equation of a circle centred at the origin with radius 2

What is the value of 2 over 3 to the power of 0 to the power of -3

Answers

Answer:

[tex]((\frac{2}{3})^0)^{-3}=1[/tex]

Step-by-step explanation:

We need to find the value of [tex]((\frac{2}{3})^0)^{-3}[/tex]

Solving:

We know, [tex](a^b)^n = a^{b*n}[/tex]

[tex]((\frac{2}{3})^{0*-3})[/tex]

[tex](\frac{2}{3})^0[/tex]

a^0 = 1

so,

[tex](\frac{2}{3})^0=1[/tex]

So, the value of [tex]((\frac{2}{3})^0)^{-3}=1[/tex]

Graph the numbers 3, -5/2, 0, 3/4 on a number line

Answers

Answer:

Step-by-step explanation:

If it's any help, these numbers, rearranged in ascending order, are

-5/2, 0, 3/4, 3.

Place a bold dot at -5/2 on your number line.  This is halfway between -2 and -3.  Next, place such a dot at 0.  Next, place a dot at 3/4, which is between 0 and 1 but closer to 1.  Last, place a dot at 3.

Solve the equation for x by graphing. -4x-1=5^x+4

Answers

Answer:

x=-1.282

Step-by-step explanation:

To solve the equation [tex]-4x-1=5^x+4[/tex] by graphing, you have to plot graphs of two functions:

[tex]y=-4x-1\\ \\y=5^x+4[/tex]

The x-coordinate of the point of intersection is the solution of the equation.

The graph of the function [tex]y=-4x-1[/tex] is shown in attached diagram with red line and the graph of the function [tex]y=5^x+4[/tex] is shown with blue curve.

The point of intersection has approximate coordinates (-1.282, 4.127), so the solution (correct to three decimal places) of the equation is x=-1.282

Determine the theoretical probability of rolling a number larger than two and a standard 66 sided cube

Answers

Answer:

Required probability = 2/3

Step-by-step explanation:

When rolling a 6 sided die, the out comes are

1, 2, 3, 4, 5 and 6

Total number of outcomes = 6

To find the probability

The required outcome is a number greater than 2, therefore possible outcomes are,

3, 4, 5, and 6

Number of possible outcomes = 4

Required probability = 4/6 = 2/3

Answer:

Determine the theoretical probability of rolling a number larger than 2 on a standard 6-sided cube.

2/3

Step-by-step explanation:

What is the following quotient? sqrt 6 + sqrt 11 / sqrt 5 +sqrt 3

Answers

The answer is B) Link below

Answer:

B

Step-by-step explanation:

I just did it

Question 2 of 10
2 Points
If you vertically stretch the quadratic parent function, Fx) = x2, by multiplying
by 7, what is the equation of the new function?
O A. G(x) = x2 - 7"
O B. G(x) = (x + 7)2
O C. G(x) = (7x)2
O D. G(x) = 7x2
SUBMIT

Answers

Answer:

D. G(x) = 7x2

Step-by-step explanation:

Given a function f(x), the function kf(x) is stretched by a factor of k. In this case, if we stretch the function f(x) = x^2 by a factor of 7, the new function is going to be:

g(x) = 7x^2. Therefore, the correct option is option D.

Given that the first term and the common difference of an arithmetic progression are 6 and 3 respectively. Calculate the sum of all terms from 4th term to the 14th term.​

Answers

Answer:

330

Step-by-step explanation:

Evaluate the sum of 14 terms and subtract the sum of the first 3 terms

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], so

[tex]S_{14}[/tex] = 7 [ (2 × 6) + (13 × 3)]

                         = 7(12 + 39) = 7 × 51 = 357

[tex]S_{3}[/tex] = 6 + 9 + 12 = 27

Sum of terms from 4 th to 14 th = 357 - 27 = 330

The sum of a number and 20 is no more than the sum of the square of the number and 9.
Which of the following inequalities can be used to determine this unknown number?
A. x + 20 < (X + 9)2
B.
X+ 20 x2 + 9
C.
X+ 20 = (x + 9)2
D.
X + 20 < x2 +94

Answers

A is the correct answer.

break down the word problem.

You also have to recognize key words which figure into mathematical symbols.

ex. sum of a number and 20 is x+20

square of the number and 9 is (x+9)^2

please vote my answer brainliest! thanks.

I need some help guys

Answers

Answer:

Q1: D

Q2: D

Step-by-step explanation:

Question No 1:

The given sequence is:

-2, 0, 3, 7, ...

We can easily determine that this is not an arithmetic sequence because the common difference between terms is not same.

i.e.

0-(-2) = 0+2 = 2

3-0 = 3

7-3 = 4

As the common difference is not same so the sequqnce is not an arithmetic sequence.

Question no 2:

Given sequence is:

28, 18, 8, -2, ..

We can see that the common difference is -10 i.e 18-28 = -10

And it is same for all numbers.

The standard formula for arithmetic sequence is:

[tex]a_n=a+(n-1)d\\Here\\a = 28\\d=-10\\So,\\a_n=28+(-10)(n-1)\\a_n=28-10n+10\\a_n=38-10n[/tex]

Now for the 52nd term:

[tex]a_{52} = 38-10(52)\\= 38-520\\=-482[/tex] ..

The data shown on the scatter plot below demonstrates the relationship between the time of day and the total number
of calories that a teenager consumes throughout the day.
That as time ___________,
the total number of calories that a teenager consumes throughout the day
___________.

Blank A options:
Stays the same
Increases
Decreases

Blank B options:
Stays the same
Decreases
Increases

Answers

Answer:

Good question! The correct answer is a) increases and b) increases.

While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.

Answer:

a) increases and b) increases.

Step-by-step explanation:


Please Help.
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).



Elapsed Time

(seconds) Distance Traveled

(feet)

1 4.2

2 8.4

3 12.6

4 16.8




Which of the following equations represents the relationship between the distance traveled and the elapsed time?

p = 4.2f

f = 4.2p

p = 4.2 + f

f = 4.2 + p

Answers

Answer:

Expressing the distance from the shore by the time needed to reach that distance at an invariable speed of 4.2f/s then f=4.2 p

Answer:

f=4.2p

Step-by-step explanation:

Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)

Answers

Answer:

x > -52.5.

Step-by-step explanation:

5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)

15.3 + 11.22x > -14.25 - 10.2x - 24

1.02x > -14.25 - 24 - 15.3

1.02x > -53.55

x > -53.55 / 1.02

x > -52.5.

Answer:

(–2.5, ∞)

Step-by-step explanation:

Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Answers

Answer:

[tex]\large\boxed{y=\dfrac{4}{3}x}[/tex]

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

[tex]m=\dfrac{y}{x}[/tex]

We have the point (6, 8). Substitute:

[tex]m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}[/tex]

Finally:

[tex]y=\dfrac{4}{3}x[/tex]

help pleaseeeee solve 3-x/2=>12

Answers

Answer:

x ≤-18

Step-by-step explanation:

3-x/2≥12

Subtract 3 from each side

3-3-x/2≥12-3

-x/2≥9

Multiply each side by -2 to clear the fraction.  Remember to flip the inequality since we are multiplying by a negative

-3 * -x/2 ≤ -2 *9

x ≤-18

Answer:

x ≤ - 18

Step-by-step explanation:

Given

3 - [tex]\frac{x}{2}[/tex] ≥ 12

Multiply all terms by 2

6 - x ≥ 24 ( subtract 6 from both sides )

- x ≥ 18

Multiply both sides by - 1, remembering to reverse the sign as a consequence of multiply by a negative quantity.

x ≤ - 18

The given line passes through the points (0, -3) and (2, 3).
What is the equation, in point-slope form of the line that is
parallel to the given line and passes through the point
-1, - 1)?
y+1=3(x+1)
y+1=-=(x + 1)
-
532
v+1={(x+1)
y+1 =3(x+1)
Mark this and return
Save and Exit
S

Answers

Answer:

[tex]y+1=3(x+1)[/tex]

Step-by-step explanation:

Ok so we are looking for line parallel to the line containing points (0,-3) and (2,3).

Parallel lines have the same slope.

So let's find the slope of the line containing the points (0,-3) and (2,3).

You can use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

However, I just like to line up the points vertically and subtract them vertically, then put 2nd difference over 1st difference. Like this:

(0 , -3)

-(2 ,  3)

-----------

-2     -6

So the slope is -6/-2 or just 3.

So the slope of the line we are looking for has slope 3 (or m=3) and your line should contain the point (-1,-1).

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point you know on the line.

So we just plug into that equation now.  That gives us:

[tex]y-(-1)=3(x-(-1))[/tex]

Simplify a bit:

[tex]y+1=3(x+1)[/tex]

Answer:

The answer is: y+1=(3x+1)

Step-by-step explanation:

Leila bought 3 bananas, which weighed a total of 3/4 of a pound . if each banana weighed the same amount , what is the weight of each banana ?

Answers

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

C.

Step-by-step explanation: The other answer was not right on edge* but i belive that it is C.

For what values of m dose the graph of y=3x^2+7x+m have two x-intercepts?

Answers

Answer:

[tex]\large\boxed{m<\dfrac{49}{12}}[/tex]

Step-by-step explanation:

x-intercepts are for y = 0.

Put y = 0 to the equation y = 3x² + 7x + m.

3x² + 7x + m = 0

Calculate the discriminant of quadratic equation ax² + bx + c = 0:

Δ = b² - 4ac

if Δ < 0, then an equation has no solution

if Δ = 0, then an equation has one solution

if Δ > 0, then an equation has two solution.

3x² + 7x + m = 0

a = 3, b = 7, c = m

Δ = 7² - 4(3)(m) = 49 - 12m

Two x-intercepts for Δ > 0.

Solve the inequality:

[tex]49-12m>0[/tex]           subtract 49 from both sides

[tex]-12m>-49[/tex]          change the signs

[tex]12m<49[/tex]          divide both sides by 12

[tex]m<\dfrac{49}{12}[/tex]

Final answer:

The values of m that make the graph of y=3x²+7x+m have two x-intercepts are m less than 49/12.

Explanation:

To find the values of m that make the graph of the equation y = 3x² + 7x + m have two x-intercepts, we need to determine when the discriminant is greater than zero. The discriminant can be calculated using the formula b² - 4ac, where a is the coefficient of x², b is the coefficient of x, and c is the constant term. In this case, a = 3, b = 7, and c = m. Setting the discriminant greater than zero and solving for m, we get:

7² - 4(3)(m) > 0

Simplifying the equation, we have:

49 - 12m > 0

Now, we can solve for m by isolating it on one side of the inequality:

-12m > -49

m < 49/12

Therefore, for any value of m that is less than 49/12, the graph of y = 3x² + 7x + m will have two x-intercepts.

Learn more about Quadratic Equations here:

https://brainly.com/question/30098550

#SPJ2

(9y+7)
Find the value of y and
the measures of all
angles.
(2y+98)°

Answers

Answer:

Both obtuse angles - 124°

Both acute angles - 56°

Step-by-step explanation:

The two given obtuse angles are equal. Therefore you get an equation

[tex]9y+7 = 2y+98\\7y=91\\y=13[/tex]

So the obtuse sizes of the two given angles are [tex]13*9+7=2*13+98=124[/tex]°

And the sizes of the acute angles are [tex]180-124=56[/tex]°

Final answer:

Without a clear relationship between the expression (9y+7) and the angle measurement (2y+98)°, we cannot find a unique value for y. However, the measure of the angle would vary with y according to the formula (2y+98)°.

Explanation:

The given expression is (9y+7) and the measure of the angle is (2y+98)°. We aren't given a specific equation that links the expression to the measure of the angle, so we cannot find a unique value for y. However, if a particular relationship between the expression and the measure of the angle is provided, such as them being equal, we can use algebraic methods to solve for y.

As for measures of angles, in general, if we know the value of y, we can substitute that into the (2y+98)° to find the specific angle. Without knowing the value of y or a particular relationship between (9y+7) and (2y+98)°, we can say that the measure of the angle varies with y according to the formula (2y+98)°.

Learn more about Algebraic Representation here:

https://brainly.com/question/21512696

#SPJ11

what is the simplest form of 3√27a3b7

Answers

Answer:

[tex]3ab^2\sqrt[3]{b}[/tex]

if the problem was [tex]\sqrt[3]{27a^3b^7}[/tex].

Step-by-step explanation:

Correct me if I'm wrong by I think you are writing [tex]\sqrt[3]{27a^3b^7}[/tex].

[tex]\sqrt[3]{27a^3b^7}[/tex]

I'm first going to look at this as 3 separate problems and then put it altogether in the end.

Problem 1: [tex]\sqrt[3]{27}=(3)[/tex] since  [tex](3)^3=27[/tex].

Problem 2:[tex]\sqrt[3]{a^3}=(a)[/tex] since [tex](a)^3=a^3[/tex]

Problem 3: [tex]\sqrt[3]{b^7}[/tex].  This problem is a little harder because [tex]b^7[/tex]is not a perfect cubes like the others were. But [tex]b^7[/tex] does contain a factor that is a perfect cube. That perfect cube is [tex]b^6[/tex] so rewrite [tex]b^7[/tex] as [tex]b^6 \cdot b^1[/tex] or [tex]b^6 \cdot b[/tex].

So problem 3 becomes [tex]\sqrt[3]{b^6 \cdot b}=\sqrt[3]{b^6}\cdot \sqrt[3]{b}=b^2 \cdot \sqrt[3]{b}[/tex].  The [tex]b^2[/tex] came from this [tex](b^2)^3=b^6[/tex].

Anyways let's put it altogether:

[tex]3ab^2\sqrt[3]{b}[/tex]

coordinates of the vertex

Answers

Answer:

(0, 3)

Step-by-step explanation:

The vetex form of an equation of a parabola y = ax² + bx + c:

y = a(x - h)² + k

(h, k) - coordinates of a vertex

We have the equation y = 3x² + 3.

y = 3(x - 0)² + 3 → h = 0, k = 3

Other Questions
Please help!The table and the graph below each show a different relationship between the same two variables, x and y:A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 4,80 and 5,100 and 6,120 and 7,140. On the right of this table is a graph. The x-axis values are from 0 to 10 in increments of 2 for each grid line. The y-axis values on the graph are from 0 to 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2, 70 and 4, 140 and 6, 210 and 8, 280 is drawn.How much more would the value of y be on the graph than its value in the table when x = 12? 20 90 150 180 The distance between my house and Memphis is 150 km. If I drive in my car, it takes me 72 min to make the first 100 km of the drive. If I keep traveling at the same rate, how many more minutes will it take to drive the remaining distance? Round your answer to the nearest tenth. Which statement is an example of an inference you can make about "To Build a Fire," based on information from the text? A. The dog leaves the man to search for a warm fire. B. The man dies after he is unable to keep a fire lit. C. The dog survives the cold, while the man does not. D. The man dies because of his lack of imagination. TYPE OUT EXTREMELY NEATLY PLEASE AND SHOW ALL YOUR WORK. Use significant figures where appropriateA sample of nitrogen gas occupies 120.0 L at 340 K and 2.30 atm. What are the number of moles of nitrogen in the sample? In the aftermath of the 20072009 recession, the U.S. national debt rose to record levels as the federal government used expansionary fiscal policy to speed up the economic recovery. This led some politicians to propose a significant reduction in the size of government in order to balance the budget. Would such a policy be expansionary or contractionary in nature? What factors would determine whether or not such a policy would harm economic growth? A red, 0.05-kg croquet ball moving at +10 m/s collides with a stationary green bocci ball (m = 0.100 kg) in a frictionless elastic collision, What is the speed of each ball immediately after the collision? Donner Company is selling a piece of land adjacent to its business premises. An appraisal reported the market value of the land to be $218,767. The Focus Company initially offered to buy the land for $177,181. The companies settled on a purchase price of $211,881. On the same day, another piece of land on the same block sold for $230,319. Under the cost concept, at what amount should the land be recorded in the accounting records of Focus Company? A home electrical system is joined to the electric company's system at the junction of the A. neutral strip in the panelboard. B. black and red wires in the meter. C. panelboard and service drop. D. service entrance head and service drop. Which of the following is an acceptable structure for 2,5,5-trimethylhept-3-yne (CH3CH2)CH(CH3)CCCH2CH(CH3)2 CH3CH2C(CH3)2CCC(CH3)3 (CH3CH2)2C(CH3)CCCH2CH3 (CH3CH2)C(CH3)2CCCH(CH3)2 (CH3CH2CH2)CH(CH3)CCC(CH3)3 Going up and down each isle in the grocery story to find milk is an example of what problem solving strategy? What language do the Persians in Iran speak?ArabicFrenchFarsiHindu What will $110,000 grow to be in 9 years if it is invested today at 11% A concrete piling of 50 kg is suspended from a steel wire of diameter 1.0 mm and length 11.2 m. How much will the wire stretch? modulus for steel is 20 x 10^10 N/m^2. The energy needed to keep a 75-watt lightbulb burning for 1.0 h is 270 kJ. Calculate the energy required to keep the lightbulb burning for 5.0 h in each of the following energy units. a) joules b) kilocalories A newly completed highway has a curve with a radius of 130 m and is banked at an angle of 24.8 degrees. What is the maximum speed that a minivan can have and still follow the curve safely under very icy conditions? Use the transforms in section 4.1 to find the Laplace transform of the function. t^3/2 - e^-10t The data below is from the Statistical Abstract of the United States located on the Internet specifically from tables in the section entitled "Foreign Commerce and Aid." One of the tables lists U.S. exports and imports by selected Standard Industrial Trade Classification (SITC) commodity. Complete the Net Export column in the table below:(Enter all values as integers. Remember to include a negative sign where appropriate.)Commodity Export Value Import Value Net Exports=Exports-Imports ($ millions) ($ millions) ($ millions)Coffee 4 3,237Corn 13,931 350Soybeans 15,455 182Airplanes 51,854 13,286Footwear 673 19,545Vehicles 98,871 190,799Crude Oil 2,270 353,537 if A and B are mutually exclusive events with P(A)= 0.3 and P(B)= 0.5, then P(A and B)= Tyreese is using algebra tiles to solve the equation below.2x + 5 = -x + (1)answers A. remove one x-tile from both sides. B. remove two x-tiles from the left side. C. add one positive x-tile to both sides. D. add two positive x-tiles to both sides. Suppose that in a lightning flash the potential difference between a cloud and the ground is 0.96109 V and the quantity of charge transferred is 31 C. (a) What is the change in energy of that transferred charge? (b) If all the energy released could be used to accelerate a 950 kg car from rest, what would be its final speed?