Please HELPP!!!!! Angles !! Marking brainliest whoever awnsers

Please HELPP!!!!! Angles !! Marking Brainliest Whoever Awnsers

Answers

Answer 1

Answer: IN ORDER FROM TOP LEFT OVER

Step-by-step explanation:

1. Example

2. Already correct

3. 43

4. 82

5. Supplementary

6. 68

7. 33

8. Adjacent (could be wrong)

9. 51

10. 128

11. 54

12. Complimentary

13. Parallel

14. 29

15. 117

HOPE THIS HELPS. I MAY HAVE GOTTEN 1 OR 2 WRONG.


Related Questions

I really need hel with this please

Answers

The resulting matrix after row 1 is multiplied by 2 is given as follows:

[tex]\left[\begin{array}{ccc}14&-8&16\\-12&7&-13\end{array}\right][/tex]

How to do the row operation?

The matrix in the context of this problem is defined as follows:

[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]

The first row is given as follows:

7, -4 and 8.

Multiplying the first row by two, we have that:

7 x 2 = 14.-4 x 8 = -8.8 x 2 = 16.

(when we multiply a matrix by a constant, each element of the matrix is multiplied by the constant).

Hence the resulting matrix is given as follows:

[tex]\left[\begin{array}{ccc}14&-8&16\\-12&7&-13\end{array}\right][/tex]

(the second row was kept constant, while the first row was multiplied by 2).

Missing Information

The matrix is:

[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]

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The perimeter of a rectangle is 18 feet, and the area of the rectangle is 14 square feet. What is the length of the rectangle?

Answers

The length of the rectangle with the above information is calculated as: 7 feet.

How to Determine the Length of the Rectangle?

Let the length of the rectangle be l and the width be w. Then, we know that:

Perimeter = 2(l + w) = 18 feet

Area = lw = 14 square feet

We can use the first equation to solve for one of the variables in terms of the other:

l + w = 9

l = 9 - w

Substituting l = 9 - w into the equation for the area, we get:

(9 - w)w = 14

w² - 9w + 14 = 0

Factorize

(w - 2)(w - 7) = 0

Therefore, w = 2 or w = 7. Since the length of the rectangle must be larger than its width, we choose w = 2 and l = 9 - w = 7.

Thus, the length of the rectangle is 7 feet.

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The line plot shows a student's quiz scores. Which measures of center and variability should be used to describe the data?
Quiz Scores
0=1
1,2,3,4=0
5=2
6=4
7=2
8=2
9=1
10=0

Answers

The measures of center for this data set are the mean and median. The mean is 5.1 and median is 6.

The measure of variability is the range. The range is 10.

How to explain the information

The measures of center describe the typical or central value of the data. For this data set, we can use the mean or the median as measures of center. The mean is the average of all the quiz scores, while the median is the middle value when the scores are arranged in order.

Mean = (0x1 + 1x0 + 2x0 + 3x0 + 4x0 + 5x2 + 6x4 + 7x2 + 8x2 + 9x1 + 10x0) / (1+0+0+0+0+2+4+2+2+1+0) = 5.1

Median = 6 (the middle score)

The measures of variability describe the spread or dispersion of the data. For this data set, we can use the range. The range will be:

= Highest score - Lowest score

= 10 - 0

= 10

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The line plot shows a student's quiz scores.

Quiz Scores

0 = 1

1,2,3,4 = 0

5 = 2

6 = 4

7 = 2

8 = 2

9 = 1

10 = 0

Which measures of center and variability should be used to describe the data?

11. Higher Order Thinking Gabriela lives.
2 miles from school. On her way home,
she runs of the way and walks the rest.
How far does she walk? Explain.

Answers

Gabriela walks 1 mile distance on her way home from school as she is running part of the way.

What is distance?

The distance between two things is measured in distance units like miles, kilometres, or metres. Given that it only possesses magnitude and not direction, distance is a scalar number.

We must ascertain Gabriela's total trip distance before we can respond to this query.

We can get the overall distance by adding the distance she runs to the distance she walks because she runs a portion of the route and walks the other.  

Gabriela commutes two miles to school, so

She needs to travel a total of 2 miles.

We need to figure out how far she runs because she is running a portion of the way.

Since running is typically faster than walking, we can infer that she covers the distance in one mile by running half of it.

She will therefore need to walk the additional mile.  

Gabriela walks a mile on her way home from school, which is the answer to the question.

This is because she walks the remaining mile and runs the first mile.

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Which of the following is not a linear transformation?
Select one:
Rotation in geometry
Projection in geometry
None of the options
Reflection in geometry​

Answers

Answer is None of the options

The question asks which of these is NOT a linear transformation.

dilations, shears, rotations, reflections and projections are all linear.

Translation is NOT a linear transformation.

Question 7 of 10
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
A. x = 5, y = -2
B. More than 1 solution
O C. No solution
OD. x= -2, y = 5
y+ x = 3
y-2x = -12

Answers

The solution to the system of equations shown above include the following: A. x = 5, y = -2

How to graphically solve this system of equations?

In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;

y + x = 3            ......equation 1.

y - 2x = -12       ......equation 2.

Based on the graph shown (see attachment), we can logically deduce that the solution for this system of linear equations is the point of intersection of each lines on the graph that represents them, which is represented by this ordered pair [5, -2].

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exponent property of nth roots

Answers

The exponent property of nth roots states that for any real number a and any positive integer n, the nth root of a raised to the nth power equals a.

What is the use of this property ?

The property of nth roots, concerning exponents states that if 'a' is a real number and 'n' is a positive integer, then the nth root of 'a' when raised to the nth power will always be equal to 'a':

√ ( a ⁿ ) = a

This can greatly simplify expressions involving nth roots by multiplying the exponent by 'n', taking the nth root of the base:

( √ a ) ⁿ = √ ( a ⁿ )

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Solve. Show the system of equations used and your work in solving the system.
A phone store sells Android phones for $400 and iOS phones for $650 each. This
week they sold a total of 110 phones and earned $54,000. How many Android and
how many iOS phones did they sell?

Answers

Let's assume that the number of Android phones sold is x and the number of iOS phones sold is y. Then we can write two equations based on the given information:

x + y = 110    (equation 1)

400x + 650y = 54000   (equation 2)

To solve for x and y, we can use any method of solving systems of equations. Here, we will use the substitution method:

From equation 1, we can solve for x in terms of y: x = 110 - y

Substitute x = 110 - y into equation 2 and solve for y:

400(110 - y) + 650y = 54000

44000 - 400y + 650y = 54000

250y = 10000

y = 40

Substitute y = 40 into equation 1 and solve for x:

x + 40 = 110

x = 70

Therefore, the phone store sold 70 Android phones and 40 iOS phones.

When a retired police officer passes away, he leaves $300,000 to be divided among his three children and six grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get?

Answers

Answer:

so first off if its six grandchildren and 3 children then that means 9 people but if the children get double the amount distributed then lets treat it like 12 people so 25,000 each meaning each child of the police officer gets 50 thousand and each grandchild gets 25 thousand

Step-by-step explanation:

hope this helps !

Each child will get 50,000 and each grandchild will get 25,000

y = 25 - 2x need input x and output y 21 and 19

Answers

If we substitute x = 21 into the equation Y = 25 - 2x, we get:

Y = 25 - 2(21)

Y = 25 - 42

Y = -17

Therefore, if x = 21, then Y = -17.

If we substitute x = 19 into the equation Y = 25 - 2x, we get:

Y = 25 - 2(19)

Y = 25 - 38

Y = -13

Therefore, if x = 19, then Y = -13.

Use the estimated angle to find the distance of the life-raft from the lighthouse.

Answers

The correct angle of elevation for the lighthouse's top is roughly 1.91°.

How to find the distance of the lift-raft from the lighthouse?

Consider the diagram drawn below, P is the position of the person in the lift-raft, B is the base of the lighthouse and the T is top of the lighthouse.

The diagram shows that the angle produced between the person in the life raft's line of sight to the top of the lighthouse and the horizontal is equal to the angle formed by the top of the lighthouse's height. Call this angle "[tex]\alpha[/tex]".

a) The distance "d" between the life raft and the lighthouse can be calculated using trigonometry.

[tex]tan\alpha = \frac{opposite}{adjacent} \\tan\alpha = \frac{20}{d}[/tex]

putting the value of [tex]\alpha[/tex] = 3 degrees put into the above equation.

[tex]tan3 = \frac{20}{d}[/tex]

[tex]d = \frac{20}{tan3}[/tex]

d = 354.14 (rounded to 2 decimal points

The life raft is therefore roughly 354.14 meters away from the lighthouse.

b)

Let's now calculate the proper angle of elevation for the situation when the life raft is 600 meters from the lighthouse.

[tex]tan\alpha = \frac{opposite}{adjacent}\\ tan\alpha = \frac{20}{600}[/tex]

solving for [tex]\alpha[/tex] we get,

[tex]\alpha = tan^{-1} (\frac{20}{100})\\\alpha = 1.91 degree\\[/tex]

Since the life raft is 600 meters from the lighthouse, the correct angle of elevation for the lighthouse's top is roughly 1.91°.

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The complete question in the form of the image below:

Help with solving This graph

Answers

Answer:

r=4

center: (-2,4)

Step-by-step explanation:

The equation of a circle is:

(x-h)²+(y-k)²=r²

(h,k) would be the center of the circle and r would be length of the radius

To find r, we simply take the square root of 16, which would be 4

And the center is given in the equation

which value represents a percentage between 11% and 17%

Answers

Answer:

Step-by-step explanation:

a

ACTIVITY 4: Solve the following inequalities.

Answers

The solutions of the inequalities are shown below

x [tex]\geq[/tex] 5

x< 13

x[tex]\geq[/tex]1

x> 1

How do you solve inequalities?

Solving inequalities involves finding all possible values of a variable that make the inequality true. The process for solving an inequality depends on the type of inequality and the operations involved.

[tex]6^x + 4 \leq 6^{2x - 1} \\x + 4 \leq 2x - 1\\x - 2x\leq -1 - 4\\-x \leq -5\\x \geq 5[/tex]

[tex]2^{x + 3} > 4x^{x - 5} \\2^{x + 3} > 2^{2x - 10}\\x + 3 > 2x - 10\\x - 2x > - 10 - 3\\-x > - 13\\x < 13[/tex]

[tex]9^x \leq 9^{2x - 1}\\ x \leq 2x - 1\\x - 2x \leq -1\\-x \leq -1\\x \geq 1[/tex]

[tex]5^4 > 25^{2x} \\5^4 > 5^{4x} \\4 > 4x\\x > 1[/tex]

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Given that a function, g, has a domain of -20 s × s 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6, select the statement that could true for g.
A. g(-4)= -11
B. g(-13)= 20
C. g(0) = 2
D. g(7) = -1

Answers

The statement that could be true for the domain of g is g(-4) = -11.

option A.

Which statement is true for domain of g?

The function g has a domain of -20 s × s 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6.

The given statements that could be true for g is calculated as follows;

Option A: g(-4) = -11

Since the range of g is -5 s g(x) s 45, it is possible for g(-4) to be -11.

Therefore, this could be true.

Option B: g(-13) = 20

Since the domain of g is -20 s × s 5, it is not possible for g(-13) to be defined. Therefore, option B is not true.

Option C: g(0) = 2

We are given that g(0) = -2, so option C is not true.

Option D: g(7) = -1

Since the domain of g is -20 s × s 5, it is not possible for g(7) to be defined. Therefore, option D is not true.

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HELP ASAP PLEASE 20 POINTS!!!!!

Answers

Answer:

5.6 mi

Step-by-step explanation:

1 km is around 0.6 (estimate) miles so just multiply both sides by 9 and 9km = around 5.4 miles and 5.6 is the closest so it is most likely that

You are told that h is a one to one function with values h(-9)=5 and h(3)= -4 which of the following is true

Answers

If function "h" is one-to-one function which is having values h(-9) = 5, and h(3) = -4, then the inverse statement is (d) h⁻¹(-4) = 3.

We know that the function "h" is a one-to-one function, so, it has an inverse function (h⁻¹). To find the inverse function, we need to exchange  roles of "x" and "y" and solve for y. This gives:

x = h(y)

y = h⁻¹(x)

The given values of function "h" are h(-9) = 5 and h(3) = -4, we find the values of h⁻¹(5) and h⁻¹(-4):

h(-9) = 5

So, h⁻¹(5) = -9 (by exchanging roles of x and y)

and h(3) = -4

So, h⁻¹(-4) = 3 (exchanging the roles of x and y)

The function "h⁻¹(-4) = 3" is represented in option (d).

Therefore, the correct option is (d).

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What is the discriminant of the quadratic equation − � 2 − 9 � − 8 = 0 −x 2 −9x−8=0?

Answers

we know that

discriminant of quadratic is [tex]b^{2}[/tex]-4ac

putting values we get

81-32

= 49

hence the discriminant is 49

Select the incorrect phrases in the paragraph.
Given:
is a right angle

is a right angle

Prove:
Four lines M A, M B, M C, and M D that starts from point M are drawn such that angle A M C equals 90 degrees, and angle B M D equals 90 degrees.

1. Angle A M C is a right angle. It leads to angle A M B and angle B M C are complementary 2. Angle B M D is a right angle. It leads to angle B M C and angle C M D are complementary. 1 and 2 lead to Angle A M B which approximately equals angle C M D.

The proof is converted to paragraph form.

Which parts of the paragraph proof are incorrect?
is a right angleis given.
is a right angleis also given.Since
is a right angle,
and
are complementary.Since
is a right angle,
and
are complementary.By the Congruent Complements Theorem,
.

Answers

Note that in the proof stated above, there is no incorrect statement.

How is this so?

The evidence is that when four lines are drawn starting from a point and making two right angles, the two angles between those lines are equal.

The proof begins by stating that when you have a right angle, the two angles that add up to produce the correct angle are referred to as complementary angles.

The Congruent Complements Theorem is then used to demonstrate that the two angles in the centre are equal.

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please help me understand

Answers

when T = 0, L = 150 (the original number of pages  to read) and when T = 6 hours (time to read the entire book), L = 0 (no pages left to read).

What is Graph ?

A chart can be defined as a pictorial representation or  diagram that presents data or values ​​in an organized manner. Points on a graph often represent a relationship between two or more things.

We can use a linear equation of the form to describe a function that relates the number of pages read to the time elapsed since the start of reading:

L = mT + b

where L is the number of pages remaining, T is the elapsed time  in hours, m is the page read rate  in pages per hour, and b is the original number of pages remaining when T = 0.  

In this case, we know that Ray is reading at a constant rate of 25 pages per hour, so m = -25 (since we are counting  the remaining pages). We also know that when T = 0 (start of  reading),  150 pages remain unread, so b = 150. Combining everything we get:

L = -25T + 150

This formula describes a function that combines the number of pages being read with the time elapsed since the start of  reading. Note that when T = 0, L = 150 (the original number of pages  to read) and when T = 6 hours (time to read the entire book), L = 0 (no pages left to read).

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PLEASE HELPPPPP MEHHHH

A composite figure is composed of a semicircle whose radius measures 5 inches added to a square whose side measures 10 inches. A point within the figure is randomly chosen.

What is the probability that the randomly selected point is in the semicircular region?

Enter your answer rounded to the nearest tenth in the box.

%

Answers

To solve this problem, we need to find the total area of the composite figure and the area of the semicircular region, and then divide the area of the semicircular region by the total area to get the probability that the randomly selected point is in the semicircular region.

The area of a semicircle with radius r is (1/2)πr^2, and the area of a square with side s is s^2. Therefore, the total area of the composite figure is:

Total area = (1/2)π(5^2) + 10^2 = 25π/2 + 100

The area of the semicircular region is (1/2)π(5^2) = 25π/2.

The probability of selecting a point in the semicircular region is:

Probability = Area of semicircular region / Total area
Probability = (25π/2) / (25π/2 + 100)
Probability = 0.198 (rounded to the nearest tenth)

Therefore, the probability that the randomly selected point is in the semicircular region is approximately 0.2, or 20%.

I arrived home to discover that my 50-foot by 40-foot basement has 18 inches of water in it! There are about 7.5 gallons in 1 cubic foot of water. How much water is in the basement?
Calculate using the most appropriate units to describe the amount of water, and state your answer in a meaningful sentence.

Answers

The amount of water in the basement is V = 22,500 gallons

Given data ,

To calculate the amount of water in the basement, we need to determine the volume of water in cubic feet and then convert it to the most appropriate units to describe the amount of water.

First, we need to convert the dimensions of the basement to feet, since the depth of the water is given in inches. 18 inches is equal to 1.5 feet, so the volume of water in cubic feet can be calculated as:

50 feet x 40 feet x 1.5 feet = 3,000 cubic feet

There are 7.5 gallons in 1 cubic foot of water, so the amount of water in the basement in gallons can be calculated as:

3,000 cubic feet x 7.5 gallons per cubic foot = 22,500 gallons

Hence , there are 22,500 gallons of water in the basement

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can someone help me please


here is the picture is about Row Ops

Answers

The result of engaging in the row multiplication operation in a matrix would be [ 1 /2   0 | 3 / 4 ]

[ -1   5 | 4 ].

How to multiply matrices ?

First, you should multiply the first row by the value given of 1 / 4 to be:

( 1 / 4 ) x 2 = 1 / 2

( 1 / 4 ) x 0 = 0

( 1 / 4 ) x 3 = 3 / 4

Then you can replace the values found by the values in the matrix to be :

[ 1 / 2   0 | 3 / 4 ]

[   - 1     5 | 4      ]

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Shane has 2 white shirts, 2 blue ones and 1 red one, He has gray pants and black pants. He hung them all up on hangers in his closet, but one shirt and a pair of pants fell on the floor. The probability that a red shirt and black slacks are on the floor is

Answers

Answer:

0.1

Step-by-step explanation:

P(red shirt, black pants | 1 shirt, 1 pants)

= P(red shirt | 1 shirt) * P(black pants | 1 pants)

= (1)/(2+2+1) * (1)/(2)

= 1/10

=0.1

A line passes through the points (8,8) and (5,2). What is its equation in slope-intercept form?

Answers

Step-by-step explanation:

m=y1-y2/x1-x2

m=2-8/5-8

m=-6/-3

m=2

y=m(x-x1)+y1

y=m(x-8)+8

y=2x-16+8

y=2x-22

Answer: Y=mx+c

Step-by-step explanation:

The Slope-Intercept Form can be written in the form: y = mx + c Where “m” is the slope of the line “c” is the y-intercept of the equation of the line

Please help me this is so hard and i really dont get this. if you help me with both parts ill give you 60 points

Answers

1) We can rewrite the function in vertex form to find the time when the ball hits the ground. To do this, we need to complete the square.

h(t) = -5t^2 + 40t

h(t) = -5(t^2 - 8t)

h(t) = -5(t^2 - 8t + 16) + 80 (adding and subtracting 16 inside the parentheses to complete the square)

h(t) = -5(t - 4)^2 + 80 (factoring and simplifying)

So, the function in vertex form is h(t) = -5(t - 4)^2 + 80.

2) To find when the ball hits the ground, we need to find when h(t) = 0, since h(t) represents the height of the ball above the ground.

0 = -5(t - 4)^2 + 80 (substituting h(t) = 0)

5(t - 4)^2 = 80

(t - 4)^2 = 16

t - 4 = ±4

t = 4 ± 4

So, the ball hits the ground at t = 0 or t = 8 seconds after launch. However, we can discard the t = 0 solution because that represents the time when the ball is launched, and we are looking for when it hits the ground. Therefore, the ball hits the ground at t = 8 seconds after launch.

Construct a 90 ​% confidence interval of the population proportion using the given information.
x = 105 n =150

Answers

The 90% confidence interval based on the data provided will be (0.6152, 0.7848)

How to calculate the confidence interval

It should be noted that standard error = ✓[(p * q) / n]

p = population proportion

q = 1 - p

n = sample size

sample proportion = x / n = 105 / 150 = 0.7

standard error = ✓(p * q) / n] = sqrt[(0.7 * 0.3) / 150] = 0.0516

margin of error = 1.645 * 0.0516 = 0.0848

Confidence interval = sample proportion ± margin of error

                 = 0.7 ± 0.0848

                 = (0.6152, 0.7848)

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What is the value of |6| - | -6|-(-6)

Answers

Step-by-step explanation:

|6| - | -6|-(-6) =

 6  -   6   +6  = 6

What the correct answer??

Answers

The angle of the turn at Deer Trail is of 105 degrees.

What is the angle of the turn?

Notice that both of the lines that go up to the left are parallel, thus, the angles formed betwen the intersections are all equal (for the respective lines).

Now, also know that two adjacent angles in an intersection should add up to 180°.

We can see that the angle to the right of deer trail has a measure of 75°, then the angle to the left (which is adjacent) must have a measure M such that:

M + 75° = 180°

M = 180° - 75°

M = 105°

That is the angle of the turn.

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Find the critical points of the function f (x) = x − 1 /x^2 + 3

Answers

there is no real number that can be raised to the third power to give a negative number, there are no real solutions to this equation. Therefore, there are no critical points of the function f(x) = x - 1/x² + 3.

what is critical points ?

In calculus, critical points are points on a function where its derivative is either zero or undefined. These points are important because they can indicate the location of maximum or minimum values of the function or points of inflection where the concavity of the function changes.

In the given question,

To find the critical points of the function f(x) = x - 1/x² + 3, we need to find the values of x where the derivative of the function is equal to zero or undefined.

First, we need to find the derivative of the function:

f'(x) = 1 + 2/x³

Next, we set the derivative equal to zero and solve for x:

1 + 2/x³ = 0

2/x³ = -1

x³ = -2

Since there is no real number that can be raised to the third power to give a negative number, there are no real solutions to this equation. Therefore, there are no critical points of the function f(x) = x - 1/x² + 3.

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The particles ejected from the sun during a coronal mass ejection, if directed at earth, will reach us. how much energy is required to take ice from -15 C to 125 C(150g of ice) If you multiply each value in the data set below by 3, what are the mean, median, mode, and range of the resulting data set?2 3 9 0 5 8 3 1 pointgregor mendel's work helped to support thea. theory of natural selectionb. role of dna in reproductionc. observed phases of cell divisiond. belief in meiosis and mitosis Learning Task 2:In this task you will list down three (3) questions which you think are examplesof effective interview questions the student asked Mr. Javier. Explain why youthink those were effective based on what you learned from the discussion. Write your answers on your paper. Effective QuestionExplanationExample:This is an open-ended type of"To what extent is air polluted in question. Metro Manila, sir?1. 2. 3. explanation1. 2. 3. How do you imagine the threat of lynching impacted the day-to-day lives of black residents? 3-Calculate the total electric current of this circuit:( ) 10.2 A( ) 3.45 A( ) 5.5 A( ) 7.5 A Find the are of the shaded shape below it has two lines of symmetry (vertical and horizontal) that pass through its centre Give your answer in cm^2 If a 35 N block is resting on a steel table with a coefficient ofstatic friction Hs = 0,40, then what minimum force is required tomove the block. ASAP. Magnetic field lines cannot be observed using a compass or iron filings. True or false Inga is solving 2x2 + 12x 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. define boiling point Pls, HELP!!Law of CosinesSolve for c. Round your final answer to the nearest tenth What volume of 0.8m naoh would be required to titrate 300 ml of 0.6 m phosphoric acid? assume a 1:1 mole ratio. The table shows the results of a survey of 150 students. Use the table to find the probability of a student participatingin each sport. 1. Football2. Tennis The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per day in a Model S will require a nightly charge time of around 1 hour and 45 minutes (105 minutes) to recharge the vehicle's battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between 90 and 120 minutes. A. Give a mathematical expression for the probability density function of battery recharging time for this scenario. 1 A. F(x) = for 90 < x < 120 30 0 elsewhere - { B. F(x) = 1 15 0 for 90 < x < 120 elsewhere re- {8 1 for 90 < x < 105 C. F() = 15 0 elsewhere The correct answer is: - Select your answer b. What is the probability that the recharge time will be less than 110 minutes (to 3 decimals)? c. What is the probability that the recharge time required is at least 100 minutes (to 3 decimals)? d. What is the probability that the recharge time required is between 95 and 110 minutes (to 3 decimals)? Caroline fills 3 quarts pint glasses with grape juice they grape juice container si too heavy so she uses a smaller 1 quart pint pitcher yo pour the juice how many times does she have to full the smaller pitcher un order to fill 3 of the glasses with grape juice? XYZ Company produce books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 7,200copies. The cost of one copy of the book is $14.50. The holding cost is based on an 18% annual rate, and setup costs are $150 per setup. The equipment on which the book is produced has an annual productionvolume of 27,000 copies. XYZ has 300 working days per year, and the lead time for a production run is 15 days.Answers the following aspects of the inventory policy for XYZ.a. Currently the company is using EOQ model for determining their order size. As a management consultant howcan you help them to reduce inventory cost? Mr. Agber, a seasoned farmer, had employed 20 labourers tocultivate his 5acres of farmland last rainy season. This wasdone in 9 days. Seeing his continuous prospect of farming, hehas decided to increase the land size to 8 acres. He isconstraint to 6 working days. He is in a dilemma. He doesn'tknow the number of workers, with the same work rate toemploy to achieve this. With your knowledge of variation, helphim 'crack this nut'stating the exact relationship between theparameters, and what constitutes the "constant". Vortex Company operates a retail store with two departments. Information about those departments follows. Department A Department B Sales $ 800,000 $ 450,000 Cost of goods sold 497,000 291,000 Direct expenses: Salaries 125,000 88,000 Insurance 20,000 10,000 Utilities 24,000 14,000 Depreciation 21,000 12,000 Maintenance 7,000 5,000 The company also incurred the following indirect costs. Salaries $36,000 Insurance 6,000 Depreciation 15,000 Office expenses 50,000 Indirect costs are allocated as follows: salaries on the basis of sales; insurance and depreciation on the basis of square footage; and office expenses on the basis of number of employees. Additional information about the departments follows. Department Square footage Number of employees A 28,000 75 B 12,000 50 Required: 1. Determine the departmental contribution to overhead and the departmental net income for department A and Department B. 2. Should Department B be eliminated