Help me with my math pleasee!!

Help Me With My Math Pleasee!!

Answers

Answer 1

If the transformation is written in the form y = a(x - p)² + q, the values of a, p, and q include the following: a = 2, p = -4, q = 3.

How to determine the equation of a parabola?

Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:

y = a(x - h)² + k.

Where:

h and k are the vertex.a represents the leading coefficient.

Based on the information provided about the parabola, we have the following:

Scale factor, a = 2.

Vertical translation upward, q = 3.

Horizontal translation to the left, p = -4.

Therefore, the equation becomes;

y = a(x - h)² + k.

y = a(x - (-4))² + 3.

y = a(x + 4)² + 3.

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Related Questions

Pricing Math Quiz
QUESTION 4 of 10: You make a corn dip appetizer that feeds four. The key ingredients and prices are: corn $0.77, sour cream $0.96, cheese
$1.11, seasoning $0.44. What is the total food cost?

Answers

Answer:

13 dollars and 12 cents

Step-by-step explanation:

I added all of the ingredient prices in parenthesis then multiplies it by 4. :)

Mr. Moore has a rectangular prism shaped planter box to grow herbs inside his house. The dimensions of the planter box are 4. 5 feet long, 2 feet wide, and 1. 5 feet tall. How any cubic feet of soil does Mr. Moore need in order to fill the planter box

Answers

Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.

To calculate the volume of the rectangular prism planter box, we need to multiply the length, width, and height of the box.

Volume = length x width x height

V = 4.5 ft x 2 ft x 1.5 ft

V = 13.5 cubic feet

Therefore, Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.

It is important to note that the volume of the box represents the amount of space inside the box and does not take into account any obstructions or irregularities that may be present inside the box.

Thus, the actual amount of soil required may be slightly different from the calculated value. Additionally, it is always a good idea to add some extra soil to account for settling and to ensure that the planter box is completely filled.

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The sum of the areas of the two squares on the legs ( a and b ) equals the area of the square on the hypotenuse ( c )?

Answers

Answer:  A^2 + B^2 = C^2

Step-by-step explanation:

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Pls awnser all they easy (brainlist)

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The given expressiοn is equivalent tο -19.5b - 6.9.

What is an expressiοn?

A finite cοmbinatiοn οf symbοls that are well-fοrmed in accοrdance with cοntext-dependent principles is referred tο as an expressiοn οr mathematical expressiοn. Unknοwn variables, integers, and arithmetic οperatοrs are the cοmpοnents οf an algebraic expressiοn.

Here, we have

Given: 3(-4.5b-2.1)-(6b+0.6)

We have tο find the expressiοn that is equivalent tο the given expressiοn.

= 3(-4.5b-2.1)-(6b+0.6)

= -13.5b - 6.3 - 6b - 0.6

= -19.5b - 6.9

Hence, the given expressiοn is equivalent tο -19.5b - 6.9.

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how do you delete your account?

Answers

Answer: go to your profile and you'll see the account or profile I

think,  and you go to settings and it it will probably say something like delete the account or give you the choice to.

Step-by-step explanation:

Answer:

I think that you click on your profile picture, then go to your settings from there, and then you eventually find the cancel account or delete account choice.

Step-by-step explanation:

you do the above

Which pair of angles are corresponding?


A. <1 and <3
B. <3 and <4
C. <1 and <8
D. <2 and <6

Answers

Answer:

2 and 6

Step-by-step explanation:

2 and 6 is the correct option

Maggie has a bag of different colored marbles the probability of picking an orange marble is 3 out of 10 what is the probability that Maggie will not pick an orange marble is it 3% ,7%, 30%, or 70%

Answers

Answer:

70%

Step-by-step explanation:

3 out of the 10 marbles are not orange, so 7/10 chance you don't, and then you can multiply by 10, and then you have 70 percent

In8=2.08 in exponential form

Answers

Hi, hope it helps!

Fell free to ask if u have any question!

Which of the following is a rational number?

Answers

Answer:

-77

Step-by-step explanation:

What is Radical? The radical of a number is the same as the root of a number. The root can be a square root, cube root, or in general, nth root. Thus, any number or expression that uses a root is known as a radical. The term radical is derived from the Latin word Radix which means root.

(Taken from Online)

If 3 −2√5 and 6 + ???? are roots of P(x), what other numbers must
also be roots?

Answers

There is no one definite answer.

Given information: If 3 −2√5 and 6 + ???? are roots of P(x), what other numbers must also be roots?To find out the other roots of P(x), we have to make use of the Fundamental theorem of algebra which states that every polynomial of degree n has n roots, both real and complex.In order to find out the other roots, we have to divide the polynomial P(x) by its given roots i.e (x-(3-2√5))(x-(6+????)) = 0Let's begin by solving the first root:Since, If 3 −2√5 is the root, thus we can write, x - (3 - 2√5) = 0Or, x - 3 + 2√5 = 0Or, x = 3 - 2√5Similarly, for the second root, 6 + ???? ,

we can write: x - (6 + ???? ) = 0Or, x = 6 + ????Now, Let's combine these two roots and write the polynomial in factored form. Using these two roots, we can write the equation as below: Thus, P(x) = (x - 3 + 2√5)(x - 6 - ???? ) = 0We have found the other roots to be: Other roots = (x - 3 + 2√5)(x - 6 - ???? ) = 0Where ???? can be any value. Therefore, there is no one definite answer.

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Please ASAP Help
Will mark brainlest due at 12:00​

Answers

Answer:

Plot the point on 1

Step-by-step explanation:

Answer: 1

Step-by-step explanation: There are 10 space on the number line between the two pts. Since we are finding a 1:4 ratio we will need to divide these 10 space by 5.

[tex]10/5=2[/tex]

Which means that the point is two spaces away from T. Which is point 1 on the number line.

a straight line joins the points A (2,1) and B (8,10) The point (6,y) lies on the line AB Find the y coordinate of c

Answers

Answer is y=7 or c coordinate is (6, 7)

Step by step

You can graph the two points and find where x=6 and the line meet (attached)








How can I solve this?

Answers

In conclusion, we need to identify the set of values of x for which either f(x)=-1/4 or f(-x)=-1/4 in order to solve to the equation f(|x|)=-1/4.

How is a function solved?

The expression f(|x|)=-1/4 indicates that the absolute value of x's function f is equal to 1/4. Any x values that satisfy this equation are what we are trying to find. We can rewrite the equation as f(x)=-1/4 when x is positive and f(-x)=-1/4 when x is negative because the absolute value of x is always positive.

We must search for values of x such that f(x)=-1/4 or f(-x)=-1/4 in order to identify the answers. Without knowing more about the function, f may be anything, hence we cannot know the precise solutions.

Therefore, we can state that x or -x is a solution to the equation if there is a value of x such that f(x)=-1/4 or f(-x)=-1/4.

As a result, we must identify the range of x values for which either f(x) or f(-x) = 1/4.

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can yall help me with this this is due on Saturday pls help me!!!

Answers

Therefore , the solution of the given problem of fraction comes out to be Y is therefore equivalent to 26/5.

A fraction is what?

Any combination of like-sized pieces or portions can represent a whole. Standard English defines "quantity" as "a portion" of a particular measure. 8, 3/4. Wholes also include fractions. In mathematics, numerals are expressed by the ratio of quotient to ratio. Every one of these fractions of integers are simple fractions. The fraction contains a fraction, but the fraction's remainder is a challenging fraction. because the values, 4.91, and numerators of real fractions can vary.

Here,

We can begin by isolating the variable with one side of the solution in order to solve for y. The reciprocal of fraction on the left side of the equation can be used to add both sides of the equation to achieve this:

=> 2/5 = (y - 4)/3

=> 3 * 2/5 = y - 4 [add 3 to both ends]

=> 6/5 = y - 4 [simplify]

=> y = 6/5 + 4 [Adjust both ends by 4]

=> y = 6/5 + 20/5 Using the denominator 5 as the corresponding fraction, write 4.

=> y = 26/5

Y is therefore equivalent to 26/5.

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simplify 3 c -9 d+7 c+5 d

Answers

Collect like terms

10c-9d+5d

10c-4d


Solution:

10c-4d
3c +7c-9d+5d
10c-4d
Answer:10d-4d

a weather ballon ascends at a constant rate. the height of the ballon 8 minutes after beginning to ascend is 2,320 feet. the height 15 minutes after ascending is 4,350 feet. what is the change in the elevation of the ballon per minute

Answers

Answer:

290 feet/minute

Step-by-step explanation:

2320/9 = 290

4350/15 = 290

Which set of ordered pairs does NOT represent a function?ResponsesA(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
B(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
C(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
D(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)
E(-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)

Answers

The set of ordered pairs in option C does not represent a function.

What is a function?

A function is a mathematical expression, rule, or law that describes the relationship between an independent variable and a dependent variable.

We know that in a function each input has only one output.

So, on evaluating the options, we get

Option A

This represents a function as each input has only one output.

Option B

This represents a function as each input has only one output.

Option C

This does not represent a function as input 2 has two different outputs which are 2 and 7.

Option D

This represents a function as each input has only one output.

Option E

This represents a function as each input has only one output.

Hence, the set of ordered pairs in option C does not represent a function.

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Question: Which set of ordered pairs does NOT represent a function?

A. (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)

B. (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)

C. (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)

D. (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)

E. (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)

A shop is having a sale. All items are reduced by 20%. Work out the price of an item that is normally £120

Answers

The price of an item that is normally £120 after a 20% discount is £96.

To find the price of an item that is normally £120 after a 20% discount,

Calculate the discount amount: To find the discount amount, multiply the original price (£120) by the discount rate ( 20% ) in decimal form:

Discount amount = Original price x Discount rate

= £120 x 0.2

= £24

Calculate the sale price: To find the sale price, subtract the discount amount from the original price:

Sale price = Original price - Discount amount

= £120 - £24

= £96

Therefore, the sale price is £96

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I NEED HELP ON THIS ASAP!

Answers

I believe it’s going to be 14/94 correct me if I’m wrong
Answer
Explanation

Answer the question with an explanation!!

Answers

Answer: 212.5

Step-by-step explanation: you find a base to multiply it with the height so like this 17X25=425 now you have to divided it into a half because it's a triangle 425 divided by 2 =  212.5

(35 points!)
Which is CLOSEST to the curve of best fit for the data shown?

(a). y = -10x^2 - 0.5x + 8
(b). y = -2x^2 + 0.2x +23
(c). y = -8x^2 - 0.5x + 9
(d). y = -5x^2 - 18x + 66

Answers

The CLOSEST to the curve of best fit for the data shown is:

(c). y = -8x^2 - 0.5x + 9

How to interpret the line of best fit?

The line of best fit is defined as a straight line that is drawn to pass through a set of plotted data points that produces the best and most approximate relationship between such given data points.

From the given graph, we see that:

at x = 1, y = 0

Thus:

a) -10x² - 0.5x + 8

Plugging x = 1:

-10(1)² - 0.5(1) + 8

= -10 - 0.5 + 8 = -2.5

b) y = -2x² + 0.2x + 23

At x = 1:

y = -2(1)² + 0.2(1) + 23

y = 21.2

c) y = -8x² - 0.5x + 9

At x = 1:

y = -8(1)² - 0.5(1) + 9

y = -8 - 0.5 + 9

y = 0.5

d)  y = -5x² - 18x + 66

At x = 1:

y = -5(1)² - 18(1) + 66

y = 43

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the two line segments below each have the same length l. if you were to calculate the integral the contour integer of the dot product of vector b with respect to vector s for each path, which one would yield b times l?

Answers

In response to the given question, we can state that To compute the function contour integral and establish the value of b times l for each path, the precise path of the line segments must be specified.

what is function?

Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.

It is impossible to predict which path would provide a contour integral of b times l for the dot product of vector b with respect to vector s without knowing the precise trajectories of the line segments.

The contour integral of a vector field F's dot product with respect to a curve C is given by:

∫C F · ds

To compute the contour integral and establish the value of b times l for each path, the precise path of the line segments must be specified.

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exercise 3.2.5: facts about power sets - true or false. help outline let x be a finite set. for each statement, indicate whether the statement is true or false, or whether more information about x is required to determine if the statement is true.

Answers

The given facts about power sets: Statement 1: False, Statement 2: True, Statement 3: True.

Statement 1: The power set of X is a subset of X. False. The power set of X, denoted by P(X), is a set containing all subsets of X. However, X is not a subset of P(X).

Statement 2: The cardinality of P(X) is greater than the cardinality of X. True. Since the power set of X contains all subsets of X, it has a higher cardinality than X. This can be proven with the equation |P(X)| = 2^|X|.

Statement 3: The cardinality of the power set of the empty set is 1. True. The empty set, denoted by Ø, has no elements, and therefore the power set of the empty set, P(Ø), has one element, which is the empty set itself. Therefore, |P(Ø)| = 1.


In conclusion, each statement is either true or false depending on the given information.

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please help i will give points

Answers

The value of m, n and w are 92, 48 and 88 respectively

What is sum of angle in a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon( 3sided polygon). The sum of angles In a polygon is 180. i.e A+B +C = 180

In the triangle above, The triangle is divided into two.

42+36+w = 180

88+w = 180

w = 180 - 88

w = 92°

From the law of the law of exterior angle of a triangle which states that; The exterior angle of a triangle is equal to the sum of opposite angles.

Therefore;

92 = n + 44

n = 92-44

n = 48°

w = 180-92( angles on a straight line)

w = 88°

Therefore the value of m, n, w are 92, 48 and 88 respectively

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A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $9, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine

p, the number of people who can go to the amusement park.

Answers

Answer:

Hello, your answer is 10

Step-by-step explanation:

Have a good day UwU

Find the exact value using the sum/difference formula.
sin 140 degrees cos 50 degrees-cos 140 degrees sin 50 degrees

Answers

To find the exact value of sin 140° cos 50° - cos 140° sin 50°, we can use the sum/difference formula for sine and cosine:

sin (a - b) = sin a cos b - cos a sin b

cos (a - b) = cos a cos b + sin a sin b

Using these formulas, we can write:

sin 140° cos 50° - cos 140° sin 50°

= sin (140° - 50°)

= sin 90°

= 1

Therefore, the exact value of sin 140° cos 50° - cos 140° sin 50° is 1.

The width of a box is two-third of it's length and height is one-third of it's length. If the volume of the box is 384 cubic meter, find the dimensions of the box.​

Answers

Answer:

Length - 12 m, width - 8m, height - 4 m

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

The relation between dimensions of the box:

w = (2/3)l;h = (1/3)l;V = 384 m³.

Use volume equation and find the value of l:

V = lwh384 = l*(2/3)l*(1/3)l384 = 2/9l³l³ = 384*9/2l³ = 1728l = ∛1728l = 12 m

Find the width and height:

w = (2/3)*12 = 8 mh = (1/3)*12 = 4 m

HELP PLEASE
NUMBER 18
Answer is (1,1)​

Answers

i. The points of intesection of the common chords of the curve x² + y² = 4 and y² = 3x are

(1, √3) and (1,-√3)

ii. The points of intesection of the common chords of the curve x² + y² = 4 and x² - 4y + 1 = 0 are

(√3, 1) and (-√3, 1)

What are common chords of a circle?

The common chords of circles are the chords that pass through the points of intersection of the curves.

i. Given the curve x² + y² = 4 and y² = 3x. We desire to find their points of intesection of the common chords. We proceeds as follows.

Since  x² + y² = 4 and y² = 3x. Substituting the second equation into the first, we have

x² + y² = 4 and y² = 3x.

x² + 3x = 4

Re-arranging, we have

x² + 3x - 4 = 0

Factorizing the quadratic equation, we have

x² - x + 4x - 4 = 0

x(x - 1) + 4(x - 1) = 0

(x + 4)(x - 1) = 0

⇒ x + 4 = 0 and x - 1 = 0

⇒ x = - 4 and x = 1

Now, y² = 3x.

⇒ y = ±√3x

So.substituting x = -4 into the equation, we have

y = ±√3x

y = ±√(3 × -4)

= ±√(-12)

Since the square root is negative, this answer is invalid.

Substituting x = 1 into y, we have

y = ±√3x

y = ±√3(1)

y = ±√3

So, the points of intersection are (1, √3) and (1,-√3)

ii. Given the curve x² + y² = 4 and x² - 4y + 1 = 0. We desire to find their points of intesection of the common chords. We proceeds as follows.

Since  x² + y² = 4 and x² - 4y + 1 = 0. From the second equation, we have

x² = 4y - 1

Substituting this equation into the first, we have

x² + y² = 4 and x² = 4y - 1

y² + 4y - 1 = 4

Re-arranging, we have

y² + 4y - 1 - 4 = 0

y² + 4y - 5 = 0

Factorizing the quadratic equation, we have

y² - y + 5x - 5 = 0

y(y - 1) + 5(y - 1) = 0

(y + 5)(y - 1) = 0

⇒ y + 5 = 0 and y - 1 = 0

⇒ y = - 5 and y = 1

Now, x² = 4y - 1

⇒ x = ±√(4y - 1)

So, substituting y = -5 into the equation, we have

x = ±√(4y - 1)

x = ±√[(4 × -5) - 1)]

= ±√(- 20 - 1)

= ±√-21

Since the square root is negative, this answer is invalid.

Substituting y = 1 into x, we have

x = ±√(4y - 1)

x = ±√(4(1) - 1)

x = ±√(4 - 1)

x = ±√3

So, the points of intersection are (√3, 1) and (-√3, 1)

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The box plot shows a comparison of the heights of gymnasts and basketball players. The mean absolute deviation for each group is approximately 2.

How many mean absolute deviations describe the difference between the two medians? ​

See image below:
Please give me an answer, work doesn't have to be shown at all, thank you so much.

Answers

Answer:

6.75 in

Analysis:

[tex]\text{The average heights of gymnasts is 60 in, the other is 75 in.}[/tex]

[tex](60+75)\div2=6.75 \ \text{in}[/tex]

For each ordered pair (x, y), determine whether it is a solution to the inequality y > 0.
(x,y)
(6, 38)
(-4, - 13)
(-1, 8)
(3, 26)

Answers

The ordered pairs (6, 38), (-1, 8), and (3, 26) are solutions to the inequality y > 0, while (-4, -13) is not a solution.

Define in short the solution to the inequality?

An inequality is a mathematical statement that compares two values and shows the relationship between them using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).

For the given ordered pairs:

(6, 38): The y-coordinate (38) is greater than 0, this ordered pair is a solution to the inequality y > 0.

(-4, -13): The y-coordinate (-13) is not greater than 0, this ordered pair is not a solution to the inequality y > 0.

(-1, 8): The y-coordinate (8) is greater than 0, this ordered pair is a solution to the inequality y > 0.

(3, 26): The y-coordinate (26) is greater than 0, this ordered pair is a solution to the inequality y > 0.

Therefore, the ordered pairs (6, 38), (-1, 8), and (3, 26) are solutions to the inequality y > 0, while (-4, -13) is not a solution.

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senior psychology majors listened to a speaker who promoted funding a cutting-edge neuroscience lab that would be available for student use within the next 5 years. according to research on persuasion, these seniors would be most influenced by: 01.(+3) + (+8) 02.(-20) + (-13) Which solid figure could be formed from the net shown?(A) cube(B) triangular prism(C) rectangular pyramid(D) square pyramid_______________________________(reporting wrong/spam answers)(giving brainliest to correct answers)_______________________________ How long have been the students writing that test?correct this sentence the of 1999 provides guidance on the use of encryption and provides protection from government intervention. a. prepper act b. economic espionage act c. usa patriot act d. security and freedom through encryption act Verifying Inverse Functions In Exercises 17-20, verify thatfandgare inverse functions algebraically. 17.f(x)=4x9,g(x)=4x+9. 18.f(x)=3/2x4,g(x)=2x+8/3. 19.f(x)= x^3/4, g(x)= Same facts as in #3, except now Elaine can set aside $50 per month. What rate of return does she need on her account? _____ You made it! Your 50 years old and have a million dollars. You decide to retire and live off $70,000a year. You have gotten conservative now that you are retired and can only get 5% return on your money? You plan to take annual distributions. How long will your money last to the nearest decimal (ex 11.1)? Li-ming received a statement on her Certificate of Deposit showing that her investment had returned $2,240$2,240 over its life. If the Certificate of Deposit pays a simple interest rate of 3.2%3.2%and her initial investment was $20,000$20,000, how long had the money Is 0.403 bigger than 0.043 If the earth revolve around the sun, why we see the same stars every night in the same position.? write a linear equation based on the given information. through: (5,-1) and (2,2) please i need help ASAP it geometry!! You may use the following formula: Area = length x breadth Mrs Sereme wants to bake 85 scones. Calculate how many baking pns of scones will she make if each scones' dimensions are 4cm x 4 cm. Luna and her roommates hear about a violent assault that took place outside their dorm building late the night before. The police are investigating the incident but, in the meantime, Luna feels terrified that she might be next. Which would be the BEST way for Luna to keep herself safe?Do all her classes online and stay in her dorm room.Watch self-defense videos online and purchase pepper spray.Dont go out by herself at night; take a friend with her.Live her life just like she normally would and not let fear win. A new engineering graduate who started a consulting business borrowed money for 1 year to furnish the office. The amount of the loan was $27, 500, and it had an interest rate of 11% per year. However, because the new graduate had not built up a credit history, the bank made him buy loan-default insurance that cost 5% of the loan amount. In addition, the bank charged a loan setup fee of $300. What was the effective interest rate the engineer paid for the loan? Litium nitride reacts with water to form ammonia and lithium hydroxide, according to the following balanced chemical equation:Li3N (s) + 3 H2O (l) NH3 (g) + 3 LiOH (aq)If 4. 87 g of lithium reacts with 5. 80 g of water, how much ammonia is produced before the reaction stops? Sue is playing darts. So far, she has hit the bullseye 4 times and missed the bullseye 10 times. What is the experimental probability that Sue will hit the bullseye on her next toss? Would a company that advertizes it will pay any service termination fee incurred if one switches to its service while under contract with another phone service provider commit Tortious Interference with a Contract if the existing service contract had the following term? Explain your understanding of this tort and then apply in your answer to this question.Except as explicitly permitted by this agreement, you must maintain service with us for your minimum term ( 2 years) plus any additional time required by any promotions you accept. IF YOU END YOUR SERVICE SOONER, OR WE TERMINATE YOUR SERVICE FOR GOOD CAUSE, YOU MUST PAY UP TO $175 PER WIRELESS PHONE NUMBER AS AN EARLY TERMINATION FEE. Periods of suspension of service dont count toward any minimum term. a parent brings a preschooler to the behavioral clinic for evaluation. upon entering the room, the child appears not to notice the nurse's presence. the child screams upon the nurse's touch. what condition should the nurse suspect?