x=-2
Identify what's the slope and what's the y-intercept

Answers

Answer 1

Answer:

There is no slope and no y-intercept.

This is a line that is parallel to Y-axis


Related Questions

Factoring Perfect Square Trinomials
a^2- 2ab + 4b

Answers

Step-by-step explanation:

[tex]i \: \: think \: \: it \: \: is \: \\ \\ {a}^{2} - 2ab + {b}^{2} \\ \\ that \: is \: for \: \: {(a - b)}^{2} [/tex]

I hope that is useful for you :)

Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?

Answers

man idfk try and figure it out

Find the metal solution to the linear system of differential equations 937 (b) (2 points) Give a physical description of what the solution curves to this linear system look like. What happens to the solution curves as to 12?

Answers

The solution to the system of equations is[tex]X(t) = c_1 * e^{6t} * [37 \ \ -3] + c_2 * e^{-3t} * [-37\ \ 12][/tex]. The solution curves exhibit a combination of exponential growth and decay, and as t approaches infinity, they converge towards the eigenvector associated with the negative eigenvalue.

To find the general solution to the linear system of differential equations:

[tex]X' = \left[\begin{array}{ccc}9&37\\-1&-3\end{array}\right] X[/tex]

We need to find the eigenvalues and eigenvectors of the coefficient matrix [[9   37] [-1   -3]].

Let A be the coefficient matrix.

The characteristic equation is given by:

det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

The coefficient matrix A - λI is:

[tex]X' = \left[\begin{array}{ccc}9-\lambda&37\\-1&-3-\lambda\end{array}\right] X[/tex]

Setting the determinant equal to zero:

[tex]det (\left[\begin{array}{ccc}9-\lambda&37\\-1&-3-\lambda\end{array}\right] )[/tex]

Expanding the determinant, we get:

[tex](9-\lambda)(-3-\lambda) - (-1)(37) = 0[/tex]

Simplifying the equation, we have:

[tex](\lambda-6)(\lambda+3) = 0[/tex]

Solving for λ, we find two eigenvalues:

[tex]\lambda_1 = 6\\\lambda_2 = -3[/tex]

Next, we find the eigenvectors corresponding to each eigenvalue.

For [tex]\lambda_1 = 6[/tex]:

[tex](A - \lambda_1I)v_1 = 0[/tex]

Substituting the values, we have:

[tex]\left[\begin{array}{ccc}3&37\\-1&-9\end{array}\right] v_1 = 0[/tex]

Solving the system of equations, we find v1 = [37 -3].

For [tex]\lambda_2 = -3[/tex]:

[tex](A - \lambda_2I)v_2 = 0[/tex]

Substituting the values, we have:

[tex]\left[\begin{array}{ccc}12&37\\-1&0\end{array}\right] v_2 = 0[/tex]

Solving the system of equations, we find [tex]v_2[/tex] = [-37 12].

Therefore, the general solution to the linear system of differential equations is:

[tex]X(t) = c_1 * e^{6t} * [37 \ \ -3] + c_2 * e^{-3t} * [-37\ \ 12][/tex]

where [tex]c_1\ and\ c_2[/tex] are constants.

b) The solution curves to this linear system represent trajectories in the state space. The behavior of the solution curves depends on the eigenvalues.

Since we have [tex]\lambda_1 = 6[/tex] and [tex]\lambda_2 = -3[/tex], the system has one positive eigenvalue and one negative eigenvalue. This indicates that the solution curves will exhibit a combination of exponential growth and decay.

As t approaches infinity, the exponential term with [tex]e^{-3t}[/tex] will dominate, and the solution curves will converge towards the eigenvector associated with the negative eigenvalue, [-37   12].

On the other hand, as t approaches negative infinity, the exponential term with [tex]e^{6t}[/tex] will dominate, and the solution curves will diverge away from the origin in the direction of the eigenvector associated with the positive eigenvalue, [37   -3].

In summary, the solution curves will either converge or diverge depending on the initial conditions, and as t approaches infinity, they will converge towards the eigenvector associated with the negative eigenvalue.

Complete Question:

a) Find the metal solution to the linear system of differential equations

[tex]X' = \left[\begin{array}{ccc}9&37\\-1&-3\end{array}\right] X[/tex]

b) Give a physical description of what the solution curves to this linear system look like. What happens to the solution curves as to 12?

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GIVING BRAINIEST!!
Which equation represents: "72% of what number is 64"

64 = 0.72 (x)
x = 7.2 (64)
64 = 7.2 (x)
x = .72 (64)

Answers

Answer:

64 = 0.72 (x)

Step-by-step explanation:

Answer: 64 = 0.72 (x)

Step-by-step explanation:

Write the repeating rational number 0.828282… as a fraction.

Answers

Answer:

Step-by-step explanation:0.828282 = 0.828282/1 = 8.28282/10 = 82.8282/100 = 828.282/1000 = 8282.82/10000 = 82828.2/100000 = 828282/1000000

And finally we have:

0.828282 as a fraction equals 828282/1000000

Find the optimum solution and draw the graph
Maximise Z= x + y, subject to x - y S-1, -x + y = 0, x,

Answers

The optimum solution for the maximization problem is Z = 0 at the point (0, 0). The graph of the feasible region consists of the line y = x and the shaded region above the line y = x - 1.

To compute the optimum solution and draw the graph for the maximization problem:

Maximize Z = x + y

Subject to the constraints:

x - y ≤ 1

-x + y = 0

x, y ≥ 0

First, let's plot the feasible region by graphing the constraints on a coordinate plane.

For the constraint x - y ≤ 1, we can rewrite it as y ≥ x - 1. This represents a boundary line with a slope of 1 and a y-intercept of -1. Shade the region above this line to satisfy the constraint.

For the constraint -x + y = 0, rewrite it as y = x. This represents a line passing through the origin with a slope of 1. Plot this line.

Next, plot the x and y axes and shade the feasible region that satisfies both constraints.

To compute the optimum solution, we need to evaluate the objective function Z = x + y at the corner points (vertices) of the feasible region.

The corner points can be identified by the intersection of the lines and the feasible region boundaries. In this case, there is only one corner point, which is the intersection of the lines y = x and y = x - 1. Solving these equations simultaneously gives x = 0 and y = 0.

Thus, the optimum solution occurs at the corner point (0, 0), where Z = 0 + 0 = 0.

Therefore, the optimum solution is Z = 0 at the point (0, 0).

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It a math study guide plz help me

Answers

the answer is 12.57

Step-by-step explanation:

The formula to find circumference is 2×pi×r. Two is the radius. So when you plug it into the formula you get 12.57.

Find the distance between the points (4,10) and (4, -7)

Answers

Answer:

17

Step-by-step explanation:

Hello There!

Once again we are going to use the distance formula to find the answer

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

This time we need to find the distance between the points (4,10) and (4,-7)

*we plug in the values into the formula)

[tex]d=\sqrt{(4-4)^2+(-7-10)^2} \\4-4=0\\-7-10=17\\d=\sqrt{0^2+(-17)^2} \\0^2=0\\-17^2=289\\\sqrt{289} =17[/tex]

so we can conclude that the distance between the points (4,10) and (4,-7) is 17 units

Which gives the line of best fit?

Answers

Answer:

B

Step-by-step explanation:

Use R for this question. Use the package faraway teengamb data (data(teengamb, package="faraway") ) for this question. a. Make a plot of gamble on income using a different plotting symbol depending on the sex (Hint: refer to page 66 in the textbook for similar code).

Answers

The code creates a scatter plot of the "gamble" variable on the "income" variable, with different plotting symbols based on sex, using the "faraway" package in R.

Here's the code to make a plot of the "gamble" variable on the "income" variable using different plotting symbols based on the sex in R:

# Load the required package and data

library(faraway)

data(teengamb)

# Create a plot of a gamble on income with different symbols for each sex

plot(income ~ gamble, data = teengamb, pch = ifelse(sex == "M", 16, 17),

    xlab = "Gamble", ylab = "Income", main = "Gamble on Income by Sex")

legend("topleft", legend = c("Female", "Male"), pch = c(17, 16), bty = "n")

This code will create a scatter plot where the "income" variable is plotted against the "gamble" variable. The plotting symbols used will be different depending on the "sex" variable.

Females will be represented by an open circle (pch = 17), and males will be represented by a closed circle (pch = 16). The legend will indicate the corresponding symbols for each sex.

Make sure to have the "faraway" package installed in R and load it using 'library'(faraway) before running this code.

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Use a unit circle and 30°-60°-90° triangles to find the degree measures of the angle.

angles whose sine is
[tex] \frac{ \sqrt{3} }{2} [/tex]

Options:

30° + n × 360° and 330° + n × 360°

60° + n × 360° and 120° + n × 360°

240° + n × 360° and 300° + n × 360°

150° + n × 360° and 210° + n × 360°

Answers

Answer:

its B

Step-by-step explanation: Cause I have big brain. >:)

three line segments have measures of 4 units, 6 units, and 8 units. Will the segments form a triangle?

Answers

Given:

Three line segments have measures of 4 units, 6 units, and 8 units.

To find:

Will the segments form a triangle?

Solution:

We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.

Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.

The sum of two smaller sides is

[tex]4+6=10[/tex]

[tex]4+6>8[/tex]

Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.

What is the area?

____ Square millimeters

Answers

Answer:  210 mm²

Step-by-step explanation:

A = 1/2(long base + short base) x height

A = 1/2(18 + 10)(15)

A = 1/2(28)(15)

A = 210 mm²

Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total
order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price
she paid for the shirt (including the cost of shipping).
For what price does she sell each T-shirt?

Answers

Answer:

$7.35

Step-by-step explanation:

We have 200 shirts

Cost $2.80 each

plus a 5% charge for shipping.

Selling price

150% markup

Recall when we use percentages, we need to express them as decimals.

Michelle's cost for each shirt was

2.80 (1.05) = 2.94

The markup is

2.94 (1.50) = 4.41

The markup is added to the cost to get the final selling price.

2.94 + 4.41 = $7.35

Michelle will sell each shirt for $7.35

What is the area of a circle whose diameter is 102

Answers

Answer:

area = 8167.14 units ²

Step-by-step explanation:

area = πr²

r = 102/2 = 51

area = (3.14)(51²) = 8167.14 units ²

It is A≈8171.28 because you Using the formulas A= πr2 d=2r
Solving forA
A=1
4πd2=1
4·π·1022≈8171.28249

Somebody pls help
Solve the problems. What are the equations of the trend line shown here?

Answers

Answer:

1) y = -7/10x + 21

Step-by-step explanation:

1)

Points (5, 7) and (15, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-7)/(15-5)

m=(-7)/10

m= -7/10

Slope-intercept:

y - y1 = m(x - x1)

y - 7 = -7/10(x - 5)

y - 7 = -7/10x + 14

y = -7/10x + 21

please do it in 30 minutes please urgently... I'll
give you up thumb definitely
please do B part only
(b) Show that cov(ra, rt) = 10²e-(s+t) (e²s 1). Deduce that var(r) = 10²(1-e-2¹).
9. The Vasicek term structure model for the short interest rate, r₁, follows the stochastic differential equation dre (ar)dt+odB, where a and are constants and B, is a standard Brownian motion.

Answers

In the Vasicek term structure model, the covariance between ra and rt is given by cov(ra, rt) = 10²e-(s+t) (e²s 1). From this, we can deduce that the variance of r is var(r) = 10²(1-e-2¹).

In the Vasicek term structure model, the short interest rate, r₁, follows the stochastic differential equation:

dr₁ = a(b - r₁)dt + σdW

where a and b are constants, σ is the volatility parameter, and dW is a standard Brownian motion.

To find the covariance between rₐ and rₜ, we use the covariance formula for the stochastic differentials equation:

cov(dr₁, drₜ) = cov(a(b - r₁)dt + σdW, a(b - rₜ)dt + σdW)

Since the covariance between the Brownian motion terms is zero, we only need to consider the covariance between the drift terms:

cov(a(b - r₁)dt, a(b - rₜ)dt) = a²(b - r₁)(b - rₜ)dt²

Integrating this expression over the time interval [0, s+t], we obtain:

cov(ra, rt) = a²(b - ra)(b - rt)∫[0,s+t] dt = a²(b - ra)(b - rt)(s + t)

Given cov(ra, rt) = 10²e-(s+t) (e²s - 1), we can equate the expressions and solve for a²(b - ra)(b - rt):

10²e-(s+t) (e²s - 1) = a²(b - ra)(b - rt)(s + t)

Simplifying the equation, we have:

(b - ra)(b - rt) = 10²e-(s+t) (e²s - 1)/(a²(s + t))

From this equation, we can see that the covariance depends on the values of b, ra, rt, s, t, and a.

To deduce the variance of r, we set t = s in the above equation:

(b - ra)(b - ra) = 10²e-2s (e²s - 1)/(a²(2s))

Simplifying further, we obtain:

var(r) = (b - ra)² = 10²(1 - e-2s)/a²

Hence, the variance of r is given by var(r) = 10²(1 - e-2s)/a².

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(50 POINTS) Express each sum using summation notation.
14. 3 + 3^2/2 + 3^3/3 ... + 3^n/n
15. 1 + 3 + 5 + 7 +... [2(12) - 1]

Answers

14: a

1

=

39

/2                              0.25               313%        16%

15:     54

Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.

Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?

Choose all answers that apply:

(Choice A)
The subset consists of all the outfits that do not have a white shirt.


(Choice B)
The subset consists of all the outfits that have either a blue shirt or a black shirt.


(Choice C)
The subset consists of all the outfits that have a black shirt.


(Choice D)
The subset consists of all the outfits that have a white shirt.

Answers

Solution:

Outfit         Shirt       Slacks        Tie

Outfit 1      Blue        Black         Red

Outfit 2     Blue        Grey          Red

Outfit 3    White       Black         Red

Outfit 4    White       Grey          Red

Outfit 5    Black       Black         Red

Outfit 6    Black       Grey         Red

We take the outfits 1, 2 , 5  and 6 as a subset of the sample space.

So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.

The subset consists of all the outfits that do not have a white shirt.

So the correct options are :

1. (Choice A)

The subset consists of all the outfits that do not have a white shirt.

2. (Choice C)

The subset consists of all the outfits that have a black shirt.

In ΔSTU, the measure of ∠U=90°, UT = 12, SU = 35, and TS = 37. What ratio represents the secant of ∠T?

Answers

Answer: hi

Step-by-step explanation:

look at hers

Answer:

secT=

adjacent

hypotenuse

=

12

37

Step-by-step explanation:

List the factor pairs of ac for the trinomial 12x^2-5x-2.

Answers

Answer:

(3x - 2) (4x + 1)

Step-by-step explanation:

12x² - 5x - 2

Since the first term has a coefficient, you need to multiply -2 with 12 to get -24.

Two factors that add up to -5 and have a product of -24 are -8 and 3.

12x² - 8x + 3x - 2

Rearrange the expression to find the GCF.

12x² + 3x - 8x - 2

3x (4x + 1) + (-1)2(-4x -1)

3x (4x + 1) - 2 (4x + 1)

(3x - 2) (4x + 1)

hypotheses are always statements about which of the following? question content area bottom part 1 choose the correct answer below. sample statistics sample size estimators population parameters

Answers

Hypotheses are always statements about the d. population parameters

Hypotheses are assertions or claims concerning population characteristics stated in statistics. An attribute or value of a population, such the population mean or percentage, is referred to as a population parameter. Based on sample data, hypothese are developed to draw conclusions or inferences about these population attributes.

The hypothesis can be expressed as comparisons of population metrics or as statements of equality or inequality. They serve as a basis for statistical studies and are used to examine certain assertions or research hypotheses. Finding pertinent solutions to the scientific inquiry is the main goal of the hypothesis. It is supported by a few evidences, and experimental methods are used to test the whole statement of the hypothesis.

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Complete Question:

Hypotheses are always statements about which of the following?  choose the correct answer below.

a. sample statistics

b. sample size

c. estimators

d. population parameters

What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?

a. 85 pi in.2

b. 100 pi in.2

c. 120 pi in.2

d. 225 pi in.2

Answers

your answer should be answer b. 100 pi in.2

Answer:

c

Step-by-step explanation:

An airplane is flying in a direction of 75° north of east at a constant flight speed of 300 miles per hour. The wind is blowing due west at a speed of 25 miles per hour. What is the actual direction of the airplane? Round your answer to the nearest tenth. Show your work. PLS PLS PLSPLS HELP URGANT

Answers

Answer:

79.7°

Step-by-step explanation:

We resolve the speed of the plane into horizontal and vertical components respectively as 300cos75° and 300sin75° respectively. Since the wind blows due west at a speed of 25 miles per hour, its direction is horizontal and is given by 25cos180° = -25 mph.  We now add both horizontal components to get the resultant horizontal component of the airplane's speed.

So 300cos75° mph + (-25 mph) = 77.646 - 25 = 52.646 mph.

The vertical component of its speed is 300sin75° since that's the only horizontal motion of the airplane. So the resultant vertical component of the airplane's speed is 300sin75° = 289.778 mph

The direction of the plane, Ф = tan⁻¹(vertical component of speed/horizontal component of speed)

Ф = tan⁻¹(289.778 mph/52.646 mph)

Ф = tan⁻¹(5.5043)

Ф = 79.7°

utilizando as propriedades dos radicais calcule ⁵√32⁵​

Answers

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: 32 \: }}}}}}[/tex]

Plz help me, correct answers will get brainliest <3

Answers

Answer:

∠ B = 48°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for ∠ B

∠ B = 180° - (90 + 42)° = 180° - 132° = 48°

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is
2.6
π
2.6π2, point, 6, pi meters long.
What is the radius
r
rr of the circle that the python forms?

Answers

Answer: 1.3

Step-by-step explanation:

The radius of the circle that python forms is 1.3 meters.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Given that,

Length of python = 2.6π meters

The length of the python forms the circumference of the circle after curling.

Circumference of a circle = 2π r, where r is the radius.

2π r = 2.6π

2r = 2.6

r = 2.6 / 2

r = 1.3

Hence 1.3 meters is the radius of the circle.

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A fcompany has a constant 306200 shares during the fiscal year. At the beginning of the year it has an equity of $4699902 in their balance sheet, and during the year, as indicated by the income statement, it has a net income $399786 and pays out $297789 in dividends. What will be its book value per share at the end of the fiscal year? Answer to two places.

Answers

The book value per share at the end of the fiscal year will be approximately $15.35.

To calculate the book value per share, we need to divide the equity at the end of the fiscal year by the number of shares outstanding. Let's break down the calculation:

The number of shares outstanding: The company has a constant 306,200 shares during the fiscal year.

Equity at the beginning of the year: The balance sheet shows an equity of $4,699,902 at the beginning of the year.

Net income: The income statement indicates a net income of $399,786.

Dividends paid: The company pays out $297,789 in dividends.

To find the equity at the end of the fiscal year, we need to add the net income and subtract the dividends paid from the equity at the beginning of the year:

Equity at the end of the fiscal year = Equity at the beginning of the year + Net income - Dividends paid

= $4,699,902 + $399,786 - $297,789

= $4,801,899

Finally, to calculate the book value per share, we divide the equity at the end of the fiscal year by the number of shares outstanding:

Book value per share = Equity at the end of the fiscal year / Number of shares outstanding

= $4,801,899 / 306,200

≈ $15.65 (rounded to two decimal places)

Therefore, the book value per share at the end of the fiscal year will be approximately $15.35.

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The sales budget for Modesto Corp. shows that 20,000 units of Product A and 22,000 units of Product B are going to be sold for prices of $10 and $12, respectively. The desired ending inventory of Product A is 20% higher than its beginning inventory of 2,000 units. The beginning inventory of Product B is 2,500 units. The desired ending inventory of Product B is 3,000 units. Budgeted purchases of Product B for the year would be:


Multiple Choice


24,500 units.



22,500 units.



16,500 units.



26,500 units.



20,500 units.

Answers

Answer:

22500 units

Step-by-step explanation:

Ending inventory =. 3000

Beginning inventory = 2500

Good sold = 22000

Beginning inventory + budgeted purchases - goods sold = ending inventory

2500 + x - 22000 = 3000

2500 + x = 3000 + 22000

2500 + x = 25000

x =25000 - 2500

x = 22500 units

Budgeted purchases of product for the year.

picture is shown !

Complete the remainder of the
table for the given function rule:
y = -2x + 9

please help

Answers

It should be 17, 26, 35, 44, 53

Answer:  17; 13; 9; 5; 1

Step-by-step explanation:

y = -2x + 9

When x = -4, y = 17

When x = -2 , y = -2x + 9 = -2(-2) + 9 = 13

When x = 0 , y = -2x + 9 = -2(0) + 9 = 9

When x = 2 , y = -2x + 9 = -2(2) + 9 = 5

When x = 4 , y = -2x + 9 = -2(4) + 9 = 1

Other Questions
Beneficial bacteria are found in our digestive tractA. trueB. Falseplease helpI will give brainliest and 5 * and 10 points for the best answerI don't want to see an link if I do you will be reported 1) what elements are found in an effective financial plan? a) flexibility to allow for changes in your situation b) sufficient liquidity to meet unexpected needs c) insurance protection from catastrophic events d) helps you legally reduce the amount of taxes you owe e) all of the above Late one Saturday evening , and Mark decide to a local.convenience store Mark has a loaded shotgun for the robbery , but both men agree beforehand that the shotgun is only to "scare " the cashier into giving up the money . During the robbery , however , the cashier unexpectedly out a handgun and points it at the two men .Mark panics , the trigger on the shotgun , and kills the cashier . is being charged as an accomplice to both robbery and murder . is an accomplice to mur der ? Why or why not ? which of the following functions are solutions of the differential equation y9y 18y=0? a. y(x)=e6x b. y(x)=ex c. y(x)=e3x d. y(x)=0 e. y(x)=6x f. y(x)=3x g. y(x)=ex Why do large organisms require a transport system? 6) You are shooting the puck along the pathseen in the picture of the air hockey table.Find the mZx and the mzm. I was in a bad mood, Malala blogged. Vacation was normally fun but no one was in the mood to celebrate.But what do you do when you're 11? You go to the playground and you play, so that's what they did. Some of the girls said they thought everything would work out. They'd be back, they said.Malala wanted to be hopeful, too. But before she left, she turned around and took one long look at the building.Pakistans Malala,Ashley FantzWhich statement matches the authors viewpoint about Malala in this passage?The author sympathizes with Malalas fear that school might not reopen.The author thinks Malala is foolish for thinking school might not reopen.The author thinks Malala should not be playing while so much is at stake.The author thinks Malala is acting too hopeful about school reopening. A student selects three marbles of different color-One is red, the second blue and the third is green. He picks the marbles one at a time without replacement. What is the probability he selects a blue. followed by a red, and then green? HELP PLEASE AND ASAP!! look at screenshot (10 pts) Write an expression that is equivalent to -4(3x 7).-4(3x 7) = D2 +? explain the differences between pitch and loudness and what are they connected to? typical uses of within-class ability grouping reflect the tendency of teachers to: You just completed your math course and you want to calculate your overall grade. You know that tests are weighted 15%, quizzes 10%. projects 35%, participation 35%, and the final exam 5%. What is your overall grade if you scored the following in each category? The amount owed when credit is used is equal to the __________ plus __________.A.balance . . . taxB.interest . . . taxC.principal . . . balanceD.principal . . . interestPlease select the best answer from the choices providedABCD Which sentence demonstrates correct parallel structure? A. Planting a vegetable garden requires adequate sunlight, soil that drains well, and that you have a large amount of garden space. B. Planting a vegetable garden requires adequate sunlight, fertile soil, and plentiful garden space. C.Planting a vegetable garden requires adequately lit areas, having fertile soil, and plentiful garden space. D.Planting a vegetable garden requires adequate sunlight, mixing the soil, and plentiful garden space. .Which of the following nitrogen cycle processes is occurring in the water sample as illustrated by the graph?A. nitrogen fixationB. denitrificationC. nitrificationD. anammox reaction which type of fertilizer is made from natural waste? Help please Read the following paragraph:"Humans have a natural tendency to focus on the negative: studies show our brains react to and remember unpleasant experiencesabout five times more strongly than pleasant ones. This may have helped our ancestors survive in the wild when they were constantlysurrounded by dangers, but these days it can lead to depression rather than safety. Psychologists say that we can overcome this instinct bydeliberately choosing to celebrate small occasions and successes. The practice, they say, has a number of benefits. In the short term,smiling and laughing release chemicals that improve mood and feelings of well-being. Over time, learning to focus on the positivedevelops skills for maintaining self-esteem and increases overall happiness. It can even lead to the formation of new pathways in the brainthat make easier to cope with negative emotions."List the cause(s) and effect(s) in the reading.cause: depression, bad moods, unhappinesseffect: celebrate small thingscause: celebrating small events and accomplishmentseffect: releases mood-elevating chemicals, enhances coping skills, leads to new brain pathways, increases happinesscause: self-esteem, happiness, coping mechanisms, new mental pathwayseffect: increased ability to appreciate small positive experiencescause: increased happiness in daily life, reduced safety in dangerous situationseffect: focus on the positive Susan found the equation of the best fit line for the data shown in the scatterplot. The slope of the line of best fit is If I returned $10,000 worth of items I purchased. Which account(s) would I DEBIT (DR) to show this return when using the periodic system?a. A/R and HST Recoverable b. A/P and HST Payable c. Purchases Returns and HST Payable d. None of the Above If I returned $10,000 worth of items I purchased. Which account(s) would I CREDIT (CR) to show this return using the periodic system? a. A/P and HST Recoverable b. A/P and HST Payablec. Purchases Returns and HST Payable d. Purchases Returns and HST Recoverable If I received a DISCOUNT on my purchase of 3%. How much will I pay the * 3 points supplier, in cash, to pay off the entire amount? Remember, I returned $10,000 worth of goods. (Please write your answer like this: $100,000) Click all of the accounts that are affected on the sale of the inventory (in 2 points the above example) using the periodic inventory system? a. Sales b. A/R c. A/Pd. Merchandisee. Inventory f. COGSg. Cash Click all of the accounts that are affected on the sale of the inventory (in the above example) using the perpetual inventory system? a. Salesb. A/Rc. A/P d. Merchandisee. Inventoryf. COGS g. Cash What is the Cost of Goods Sold on the sale of the inventory? (Please write your answer like this: $100.000) Your answer 2 points What is the value of the Merchandise Inventory account after the sale of 4 points the inventory? Don't forget that we had Discounts and Returns. (Please write your answer like this: $100,000) Is the net amount of HST at the end of the month Payable or Recoverable? Remember you received a Discount and Returned items. Payable Recoverable What is the net amount? Remember you received a Discount and Returned items. (Please write your answer like this: $100,000)