I need help explanation if possible

I Need Help Explanation If Possible

Answers

Answer 1

Step-by-step explanation:

tan x = sin x / cos x

[tex]tan \: x \: = \frac{ \frac{7}{15} }{ \frac{4 \sqrt{11} }{15} } = \frac{7}{4 \sqrt{11} } [/tex]


Related Questions

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

Hey there : y= 3x - 3

Answer:

y = [tex]\frac{3}{2}[/tex] x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0-(-2)}[/tex] = [tex]\frac{3}{0+2}[/tex] = [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = [tex]\frac{3}{2}[/tex] x + 3 ← equation of line

Solve the equation.
7h-5(3h-8)= -72

Answers

7h-15h+40=-72

40+72=15h-7h

112=8h

h=14

Find the remainder when f(X)=2x^3+2x^2-3x-3 is divided by X-2

Answers

The remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.

We know that the remainder theorem states that if a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, then the remainder is given by r = p(a).

Here p(x) = f(x) = 2x³ + 2x² - 3x - 3 and q(x) = x - 2. First, we have to find the zero of q(x).

Now, q(x) = 0

i.e. x - 2 = 0

i.e. x = 2.

So, the zero of q(x) is 2, i.e. a = 2.

Then by the remainder theorem,

r = p(a) = f(2) = 2(2)³ + 2(2)² - 3(2) - 3 = 2 × 8 + 2 × 4 - 6 - 3 = 16 + 8 - 9 = 16 - 1 = 15

We can conclude that the remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.

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Someone help me as fast as possible!!

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: length = 11 \: \: in[/tex]

[tex]\qquad \tt \rightarrow \: width = 4 \: \: in[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Let the measures be :

width = x

length = x + 7

[tex] \textsf{\large Area of rectangle :} [/tex]

[tex]\qquad \tt \rightarrow \: Area = length \sdot width [/tex]

[tex]\qquad \tt \rightarrow \: 44 = x \sdot(x + 7)[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x = 44[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x - 44 = 0[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 11x - 4x - 44 = 0[/tex]

[tex]\qquad \tt \rightarrow \: x(x + 11) - 4(x + 11) = 0[/tex]

[tex]\qquad \tt \rightarrow \: (x + 11)(x - 4) = 0[/tex]

possible values of x = -11 and 4

[tex] \textsf{But the acceptable value of x = 4} [/tex]

[ length or width of rectangle can't be negative ]

[tex]\qquad \tt \rightarrow \: length = x + 7 = 4 + 7 = 11 \: \: in[/tex]

[tex]\qquad \tt \rightarrow \: width = x = 4 \: \: in[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What is the closest benchmark for 99%?

Answers

The closest benchmark for 99% is 100%.

We know that benchmarks in mathematics are the norm or point of comparison that something can be measured, compared, or evaluated against. Benchmark values are values that can be used to estimate and contrast other values or quantities. Typically, benchmark figures are multiples of 10 or 100. 0 percent, 10 percent, 25 percent, 50 percent, 75 percent, and 100 percent are the most popular benchmark percentages.

Here we have to find the closest benchmark for 99%. Clearly, from the definition 100% is the required answer.

We can conclude that the closest benchmark for 99% is 100%.

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f(x)=23x−1 and g(x)=−4x+6.

What transformation occurs from function f to function g?


a horizontal stretch by a factor of −6

a horizontal translation 6 units left

a vertical translation 6 units down

a horizontal compression by a factor of −6

Answers

The transformation occurs from function g is a vertical translation 6 units down.

What is Transformation?

A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.

Given:

g(x) = 4x + 6

g(x) = 0

4x + 6=0

x= -6/4

Now,

f(-6/4) = 2 - 1

=-1

By seeing g(x), we can say that  function g is a vertical translation 6 units down.

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What are the zeros of the function f(x) = x4 − x2 − 2?

±3, ±i
±2, ±i
positive or negative square root of 2 comma ±i
positive or negative square root 3, ±i

Answers

Answer:

x = ± [tex]\sqrt{2}[/tex] , x = ± i

Step-by-step explanation:

f(x) = [tex]x^{4}[/tex] - x² - 2

to find the zeros , equate f(x) to zero , that is

[tex]x^{4}[/tex] - x² - 2 = 0

using the substitution u = x² , then

u² - u - 2 = 0 ← in standard form

(u - 2)(u + 1) = 0 ← in factored form

equate each factor to zero and solve for u

u - 2 = 0 ⇒ u = 2

u + 1 = 0 ⇒ u = - 1

convert u back into terms of x

x² = 2 ( take square root of both sides )

x = ± [tex]\sqrt{2}[/tex]

x² = - 1 ( take square root of both sides )

x = ± [tex]\sqrt{-1}[/tex] = ± i

Answer: Positive or negative square root of 2, ±i

Proof o fvalidity is shown below.

What is the equation if the blue line?

Answers

Answer:15

Step-by-step explanation:

Start off using Java. As u progress you cant move over to C and the then transfer to python.

VvvvvAnswerr: y=2x+3

What is the mean of the data

Answers

Answer:

hey diddle the medians the middle

you add and then divide for the mean

the mode is the one you see the most and the range is the difference between.

Hope this helps you with your question

Step-by-step explanation:

bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select three options.
choosing 1 blue marble
choosing 1 red marble
choosing 1 red marble, not replacing it, and then choosing a blue marble
choosing 1 white marble, replacing it, and choosing another white marble
choosing 1 white marble

Answers

Answer:

choosing 1 red marble

choosing 1 white marble, replacing it, and choosing another white marble

choosing 1 white marble

Step-by-step explanation:

red marble has a 30 percent chance

1 white marble and then replacing and another white marble is 25% chance

1 white marble is 50% chance

Please help!!!!!
The equation of a circle is x² + y² – 8x + 10y + 37 = 0. What is the center and the radius of the circle? Show all your work.

Answers

Let's take this problem step-by-step:

 

Let's convert the equation back into the standard form:

     ⇒ standard form: (x-h)² +(y-k)² = r²

(h, k): center's coordinater: radius

       [tex]x^2+y^2-8x+10y + 37 = 0\\\rm \hookrightarrow x^2 - 8x + y^2+10y = -37\\\rm \hookrightarrow (x^2 - 8x) + (y^2 + 10y) = -37\\\rm \hookrightarrow (x^2-8x+16) + (y^2+10y+25) = -37 + 16 +25\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 4\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 2^2[/tex]

Based on the equation found

  ⇒ center: (4, -5)

   ⇒ radius: 2

Answer:

center: (4, -5)radius: 2

Hope that helps!

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For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard
deviation?

Answers

Answer:

Standard Deviation is s = 2.9

Step-by-step explanation:

Count = [tex]N[/tex] = 5

Mean = [tex]x^-[/tex] = 9

Variance = [tex]s^2[/tex] = 8.5

SD Formula = [tex]s = \sqrt \frac{1}{N - 1} (x_{i} - x^-)^2[/tex]

Variance Formula[tex]s^2 = \frac{(x_{i} - x^-)^2}{N- 1}[/tex]

Step 1: Calculate the variance

[tex]= \frac{(7-9)^2 + (5-9)^2 + (10-9)^2 + (11-9)^2 + (12 -9)^2 }{5-1}[/tex]

[tex]=\frac{34}{4} = 8.5[/tex]

Step 2: Apply square root/SD formula

[tex]=\sqrt{8.5} = 2.9[/tex]

the equation that represents the canned goods order is 24x+64y=384
x= number of minutes fruit cans
y= number minutes of for vegetable cans
explain how to calculate the x- and y- intercepts

Answers

The x-intercept is (16, 0) and y- intercept is (0, 6).

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given: 24x+64y=384

For y- intercept, put x=0

Then,

24*0+64y=384

64y= 384

y= 6

Now, for x- intercept put y=0

Then,

24x+64*0=384

24x= 384

x= 15

Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).

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Answer:

Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).

Step-by-step explanation:

Find the value of x, given that the two triangles are similar.​

Answers

Answer:

10.5 is the correct answer.

Step-by-step explanation:

Due to the fact Triangle CAB has "6" as its length, and Triangle FDE has "2" as its length, you multiply 3.5 and 3.

3.5 x 3=10.5

2 x 3=6

3.5/2=10.5/6, so the answer is 10.5.

Answer:

x = 10.5 cm

Step-by-step explanation:

Find the value of x, given that the two triangles are similar.

Given that the two triangles are similar we can solve with a proportion

6 : 2 = x : 3.5

x = 6 * 3.5 : 2

x = 21 : 2

x = 10.5

Solve for x in the equation x/5 -2=11

Answers

Answer:

x = 65

Step-by-step explanation:

Solve for x in the equation

x/5 - 2 = 11

x/5 = 11 + 2

x/5 = 13

x = 5 * 13

x = 65

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

check

65/5 - 2 = 11

13 - 2 = 11

11 = 11

the answer is good

Write the quadratic equation whose roots are 3 and -3, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)

Answers

The quadratic equation is  3x² - 27.

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

Given:

The roots are 3 and -3

We have

α= 3   and β=-3

So,

α+β = -b/a  and αβ = c/a

α+β = 0 =-b/a and  αβ= -9 = c/a

Comparing from above

a=1, b= 0 and c=-9

Also, the leading coefficient is 3.

Then the quadratic equation is,

= 3(ax² + bx + c)

= 3( x² +0x- 9)

Hence, the quadratic equation is 3x² - 27.

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Quick I need an answer to this Queston:


The functions f(x)= −3/4x + 2 1/4 and g(x)= (1/2)x + 1 are shown in the graph.


What are the solutions to −3/4x + 2 1/4 = (1/2)x + 1?


Select each correct answer.



−1


0


1


2


3

Answers

Step-by-step explanation:

[tex] - \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1[/tex]

[tex] - \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2} [/tex]

[tex] \frac{ - 3x + 9}{4} = \frac{2x + 4}{4} [/tex]

[tex] - 3x + 9 = 2x + 4[/tex]

[tex] - 3x - 2x = 4 - 9[/tex]

[tex] - 5x = - 5[/tex]

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

[tex]x = 1[/tex]

The answer is C.

Brian is drawing a scale diagram of a building. for every 10 m of the building he draws a line 5 cm long. Bryn thinks he is using a ratio of 2:1. Alun thinks Bryn is using a ratio of 200:1, is either of them correct? explain your answer ​

Answers

Answer:

200:1, Bryn is correct.

Step-by-step explanation:

Each 10 m is represented by a 5cm length on the diagram.  We first note that 100 cm = 1 meter.   5 cm is (0.5 cm)*(1 meter/100 cm) =0.05 meters.

The 0.05 meters on the diagram represents 10 meters on the actual building.  The ratio is (10 meters/0.05 meters) or 200:1.  This is what Bryn believes is the ratio.  

If u get 2 points every 5 minutes, how long will it take to get 3,600 points?

Answers

Answer:

9,000 minutes (150 hours)


Step-by-step explanation:

You have 3,600 points total; you need to divide it by 2 points.
3,600 ÷ 2 = 1,800


So, now you need to multiply the 1,800 points by 5 minutes.

1,800 × 5 = 9,000


Another way:

You can figure out how long it takes to get 1 point. If 2 points takes 5 minutes, divide 5 by 2.

5 ÷ 2 = 2.5


Now you need to figure out how long it would take to get 3,600 points. If each point takes 2.5 minutes, just multiply.

3,600 × 2.5 = 9,000


It would take 9,000 minutes (which is equivalent to 150 hours) to get to 3,600 points.

L
E
N
4
8
1
O
k
M
What is the value of k?
k=

Answers

Answer: 2

Step-by-step explanation:

By the geometric mean theorem,

[tex]\sqrt{8k}=4\\\\8k=16\\\\k=\boxed{2}[/tex]

These box plots show the basketball scores for two teams.
Wolverines
35
55
80 85
96
Panthers
33
50
70
90
107
Compare the shapes of the box plots.



O A . Both distributions are negatively skewed.
O B. The Wolverines' distribution is negatively skewed, but the
Panthers' distribution is symmetric.
O C. Both distributions are symmetric.
OD. The Wolverines' distribution is positively skewed, but the Panthers'
distribution is symmetric.

Answers

The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

When is data symmetric for a given box plot?

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers.

The box plot showing scores for the Panthers basketball team has the median shown by a vertical line dividing the box into 2 equal halves.

Also, both whiskers on either side are relatively equal which shows that the data set for bulldogs is symmetric.

On the other side, the box plot for wolverine shows the median closer to the upper quartile.

That shows that the data set for team Wolverines' distribution is negatively skewed.

The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

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For Rs 10,000 at 10% per annum. What will be the interest after 4 years?​

Answers

Step-by-step explanation:

please mark me as brainlest

in exponential growth functions. the base of the exponent must be greater than 1? how would the function change if the base of the exponent were between 0 and 1?

Answers

The function would become an exponential decay function.

On a piece of paper, graph y-5>2x-10. Then determine which answer
choice matches the graph you drew.
A
B
C
D
(21)
(0.5)
OA. Graph A
B. Graph B
C. Graph C
D. Graph D
(0.5)
((3.1)
(0.5)
(3.1).
(0.5)

Answers

Answer:

Graph B

Step-by-step explanation:

When graphing inequalities:

< or > : draw a dashed line≤ or ≥ : draw a solid line< or ≤ : shade under the line> or ≥ : shade above the line

Given inequality:

[tex]y-5 > 2x-10[/tex]

Rearrange the given inequality to make y the subject:

[tex]\implies y-5+5 > 2x-10+5[/tex]

[tex]\implies y > 2x-5[/tex]

Therefore, we need to draw a dashed line and shade above it.

To draw the line:

Replace the > with = to find two points on the line:

[tex]\implies y=2x-5[/tex]

[tex]x=0 \implies y=2(0)-5=-5 \implies (0,-5)[/tex]

[tex]x=3 \implies y=2(3)-5=1 \implies (3,1)[/tex]

Plot the two found points: (0, -5) and (3, 1)

As the inequality is  y > 2x - 5

Draw a dashed straight line through the two points.Shade above the line.

The inequality equation is solved and the solution is plotted on the graph

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y - 5 > 2x - 10

On simplifying , we get

Adding 5 on both sides , we get

y > 2x - 5

where 2 is the slope and 5 is the the intercept

Now , let the first point be P ( 0 , -5 )

when x = 0 and y = -5

-5 > -5

And , the graph of the inequality is plotted

Hence , the inequality is solved

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NEED HELP ASAP 1 HOUR LEFT

Answers

The number of units that will maximize revenue will be 672 units.

How to calculate the revenue?

From the given information, p = 336 - 0.5x. The revenue function will be:

= (336 - 0.5x)x

= 336x - 0.5x²

This will be equated to 0. This will be:

336x - 0.5x² = 0

0.5x² = 336x

0.5x = 336

x = 336/0.5

x = 672

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What number is the opposite of -2?
O A. ¹/2
O B. -¹/2
5
O C. - 13/
OD. /
12

Answers

Answer: 2

Step-by-step explanation:

The opposite of a negative number is the corresponding positive number.

Enter the correct answer in the box.
Consider this expression.
x² + x - 72
Replace the values of a and b to rewrite the given expression.
(x+ a)(x+b)

Answers

The answer is
(x + 9)(x - 8), where a = 9 and b = -8 or a = -8 and b = 9

The correct values of a and b to rewrite the expression as (x + a)(x + b) are:

a = 9

b = -8

So, (x + 9)(x - 8) is the correct form of the given expression.

Here, we have to rewrite the expression x² + x - 72 in the form (x + a)(x + b), we need to find two numbers a and b such that when multiplied,

it give us the constant term -72 and when added, it give us the coefficient of the x term, which is 1.

The expression x² + x - 72 can be factored as follows:

x² + x - 72

= x² + 9x - 8x - 72

=x(x+9) -8(x+9)

= (x + 9)(x - 8)

Therefore, the correct values of a and b to rewrite the expression as (x + a)(x + b) are:

a = 9

b = -8

So, (x + 9)(x - 8) is the correct form of the given expression.

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The function f(x)= 4x + 3 represents the length of a rectangle. The function g(x)=2x-5 represents the width of the rectangle. Use ( g(4) to determine the area of the rectangle.
57
19
16
3

Answers

Answer:

57 square units

Step-by-step explanation:

Area is = Length x Width

Given:

f(x)= 4x + 3    Length

g(x)=2x-5      Width

x = 4

============

Width

g(x)=2x-5

g(4)=2(4)-5

g(4)= 3

Length

f(x)= 4x + 3

f(4) = (4)(4) + 3

f(4) = 19

Area = (length)*(width)

Area = f(x)*g(x) for x = 4

Area = (f(4))*(g(4))

Area = (19)*(3)

Area = 57 square units

A cube has side length x. one side of the cube is increased by 4 inches, and another side is doubled. the volume of the new rectangular prism is 450 cubic inches. the equation 2 x cubed 8 x squared = 450 can be used to find x. what was the side length of the original cube? use a graphing calculator and a system of equations to find the answer.

Answers

The side length of the original cube is 1.95 inch.

Let each side length of each cube be 'x' inch.

Given : New side = (x+4 ) inch

Another new side = 2x inch

Since the sides are not equal, so it forms a cuboid in the case of new sides as given.

Also, according to question,

The volume of new rectangular prism is 450 cubic inches

= (x+4)*2x*x = 450

⇒ 2x cubed 8x squared =450

=16x5=450= 1.95 inch ( by taking out the cubic root of x3=7.5)

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Which of the following best describes how the y values are changing over each interval?
X
y
1
4
2
8
3
12
4
16
5
20
They are increasing by 4 each time.
O They are increasing by 6 each time.
O They are being multiplied by 2 each time.
O They are being multiplied by 4 each time

Answers

Answer:

y=ax+b

a=-0.6020457867

b=-2.256697516   <------- There is your value for b, which is the answer to the problem.

You can use these values for a and b to generate an equation in slope-intercept form, which you can then enter under Y= and view the graph.

Step-by-step explanation:

The value of y is multiplied by 2 each time when the value of x increases by 1 and this can be determined by using the arithmetic operations.

What is an mathematical expression?

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

Given that,

Table --    x            y

                1            20

                2            40

                3            80

                4            160

                5            320

The following steps can be used in order to describe how the y values are changed over each interval:

Step 1 - When value of (x = 1) and the value of (y = 20).

Step 2 - When value of (x = 2) and the value of (y = 40).

Step 3 - When value of (x = 3) and the value of (y = 80).

Step 4 - When value of (x = 4) and the value of (y = 160).

Step 5 - From the above steps, it can be concluded that the value of y is multiplied by 2 each time when the value of x increases by 1.

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I started for school very late that morning and was in great dread of a scolding, especially because M. Hamel had said that he would question us on participles, and I did not know the first word about them. For a moment I thought of running away and spending the day out of doors. It was so warm, so bright! The birds were chirping at the edge of the woods; and in the open field back of the sawmill the Prussian soldiers were drilling. It was all much more tempting than the rule for participles, but I had the strength to resist, and hurried off to school.When I passed the town hall there was a crowd in front of the bulletin-board. For the last two years all our bad news had come from therethe lost battles, the draft, the orders of the commanding officerand I thought to myself, without stopping:"What can be the matter now?"Select two details that show the narrator's town has experienced war. Which pronoun signals a first-person narration?hisyouourthey How are adoption studies used to learn more about the impact of biological and environmental factors?Participants share a genetic code but grow up in different home environments so researchers can study the impact of environmental factors.Participants share the same home environment but do not share the same genetic code so researchers can study the impact of biological factors.Participants share neither a home environment nor genetic code so researchers can study the impact of factors other than biological and environmental factors.Participants share both the same home environment and genetic code so researchers can study the impact of both biological and environmental factors at once. a standby generator is connected to 1540 w lamps and a musicians 600w amplifying system how much energy is used if the generator is used for 6 hours Find the rate of change of the linear function shown in the graph. Then find the initial value. To make sure it has enough employees on hand during the busy holiday season, Target plans to hire thousands of temporary, seasonal help for the final three months of the calendar year. This is an example of a(n) _____ plan. Please help I will mark brainliest!!!!! Proud to be the bearer of astonishing news, I run back. "Daddy! Theres a tree in the sitting room!"I expect my father to spring from his chair, alarmed, and rush to the sitting room. Instead, my parents laugh. They explain about Christmas trees and decorations.Oh. Is that all? A Christmas tree is interesting, but I am disappointed. A tree slipping into the house at night had appealed to me. I want my father to charge into the sitting room to save us all from the intruder.Based on this excerpt, the reader can reasonably infer that the narrator islooking for adventure and excitement.excited to receive Christmas presents.embarrassed that her parents are laughing at her.confused about why her parents tricked her. water vapor that changes directly to ice on a surface is called Answer: 5 x 4/7 Full explanation. If a is a non zero constant, what is the maximum number of turns for the graph ofy = x + ax - 7x+10 8(w-5)=16 solve for w please give working out determine whether each pair of lines is perpendicular parallel or neither Ethical behavior Question content area bottom Part 1 A. cannot be a concern to managers who are expected to maximize shareholder value. B. is the fifth basic principles of finance. C. in the corporate world means not breaking any laws. D. is essential in business because unethical behavior destroys trust and business relationships. b. Describe hydrogen bonding. (1 point) Hey need help on this question. Could I have a simple explaination please as I find it difficult to understand things reducing / surgar - sugary drinks / on the other hand / reduce / risk / consumption / obesity If 13.0 g of MgSO47H2O is thoroughly heated, what mass of anhydrous magnesium sulfate will remain? Why was the battle of El Alamein significant? Can someone help me with this, its geometry and its so confusing