please help with this

Please Help With This

Answers

Answer 1

Answer:

1. S = 20w + 100

2. M = -400w + 3,500

Step-by-step explanation:

1. Since Mateo is starting with a balance of $100, we can set this as our constant term (the 'b' in y = mx + b). Every week, he earns $20, so we can set this as the coefficient on the variable w (which represents how many weeks have passed).

2. Emily is spending money in this situation, so the coefficient on w is negative, as the amount of money she has left is getting smaller. The exact amount that she spends each week is $400, so the negative of that is going to be the coefficient of w in the equation. We can set the constant term in this equation to $3500, as Emily starts with that much money when no weeks have passed (when w = 0).


Related Questions

Find an expression that represents the difference when (-4x+4) is subtracted from (-9x-7) in simplest terms.

Answers

The required simplified expression result of (-4x+4) is subtracted from (-9x-7) is -5x -11.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The expression (-9x-7) - (-4x+4) can be simplified as follows:
First, we'll combine the like terms:

-9x - 7 - (-4x + 4)

Next, we'll use the distributive property to simplify the right side:
-9x - 7 - (-4x) + 4

Combining like terms on the right side:
-9x - 7 + 4x - 4

Combining the remaining terms:
-5x -11

Thus, the requried simplified expression is given as -5x-11.

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What is 168 cm to ft inch ?

Answers

From the information given, 168 cm is approximately equal to 5 feet and 6.14 inches (rounded to two decimal places).

To convert centimeters to feet and inches, you can use the following conversion factors:

1 inch = 2.54 cm

1 foot = 12 inches

First, convert the length in centimeters to inches by dividing by 2.54:

168 cm ÷ 2.54 cm/inch = 66.14 inches

Next, convert the total number of inches to feet and inches. To do this, divide the total number of inches by 12 to get the number of whole feet, and then use the remainder as the number of inches.

66.14 inches ÷ 12 inches/foot = 5 feet with a remainder of 6.14 inches

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Which shows how to solve the equation 3/4 X = -6 for x in one step?

Answers

To solve the equation 3/4 x = -6 for x in one step, you can multiply both sides of the equation by 4/3:

3/4 x = -6

4/3 * (3/4 x) = 4/3 * (-6)

x = 8

HELP!!!!!! IM SICK AND IM TRYING TO TEACH MYSELF MATH!!!!!!!!!!!

Answers

120 x 30% + 200 x 70%
= 176

Fill in each blank with the correct number or variable.

7 (x + 2) = 7 x ___ + 7 x ___

Answers

Answer: x,2

Step-by-step explanation:

Answer:

7 x x + 7 x 2

Step-by-step explanation:

7(x + 2)

7x + 7(2)

7x + 14


. Use a graph to find x and y values that make both y = x+3 and y = 2x +5 true.

Answers

The point (-2, 1) satisfies both equations y = x + 3 and y = 2x + 5 simultaneously.

What is graph of equation?

Write the equation in the form y = mx + b to determine the slope m and y-intercept (0, b). 2) Next, determine the y-intercept. 3) Depending on whether the slope is positive or negative, go up or down and left or right from the y-intercept.

We are looking for the values of x and y that satisfy both equations simultaneously. We can do this by setting the right-hand sides of the two equations equal to each other:

y = x + 3 (equation 1)

y = 2x + 5 (equation 2)

Setting the right-hand sides equal to each other, we get:

x + 3 = 2x + 5

Simplifying this equation, we get:

x = -2

Now that we have the value of x, we can substitute it into either of the two equations to find the corresponding value of y. Let's use equation 1:

y = x + 3

y = -2 + 3

y = 1

So, the values of x and y that make both equations true are:

x = -2

y = 1

Therefore, the point (-2, 1) satisfies both equations y = x + 3 and y = 2x + 5 simultaneously.

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Select all the equations that are equivalent to this equation

Answers

The equations equivalent to the given equation 3x - 4 = 5 are A) 3x = 9, B) 3x - 4 + 4 = 5 + 4 and E) -4 = 5 - 3x.

What is an Equation?

An equation is defined as a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation are called as left hand side and right hand side.

Given equation is 3x - 4 = 5.

Adding the number 4 on both sides, we get,

3x - 4 + 4 = 5 + 4, which is the equation B.

Simplifying,

3x = 9, which is the equation A.

x = 3

3x - 4 = 5

Subtracting 3x on both sides of the equation,

3x - 4 - 3x = 5 - 3x

-4 = 5 - 3x, which is the equation E.

Hence the equivalent equations are A, B and E.

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Your question is incomplete. Probably the correct question is as follows.

Select ALL the equations that are equivalent to the equation 3x - 4 = 5.

A) 3x = 9

B) 3x - 4 + 4 = 5 + 4

C) x - 4 = 2

D) x = 9

E) -4 = 5 - 3x

The price p of a sweater was discounted by 10%

Answers

The price of the sweater after the discount is 0.72P.

What is Discount?

A reduction made from the gross (see gross entry 1 sense 3b) amount or value of something.

Since the price P would represent 100% and the price was discounted by 10%, you can calculate 10% of 100% and subtract that amount, which would be:

100× 10%=10

100-10=90%

The price paid would be 90% of P.

Then, the statement says that the price was discounted by another 20%. Now let us calculate 20% of the price and subtract that amount from the price:

90×20%=18

90-18=72%

Hence, the price of the sweater after the discount is 0.72P.

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How is matrix multiplication done in MATLAB?

Answers

The " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles.

So the " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles. In MATLAB, the standard syntax for multiplying matrices is:

When the dimensions of A and B satisfy the matrix multiplication rule, the css copy code C = A * B can be used. Particularly, the number of rows in matrix B and the number of columns in matrix A must match.

The resulting matrix C will be the same size in terms of both rows and columns as matrix A and matrix B. Here is an illustration of how matrix multiplication functions in MATLAB:

A = [1 2; 3 4];% Define matrix A B = [5 6; 7 8];% specify matrix.

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How do you find the limit of a function on a calculator?

Answers

Answer:

Step-by-step explanation:

The method for finding the limit of a function on a calculator depends on the specific calculator you are using. Here are the general steps for finding the limit of a function using a graphing calculator:

Enter the function: Most graphing calculators have a function editor where you can enter the function you want to find the limit of.

Set the limit: To find the limit of the function at a particular point, you need to specify the value at which you want to find the limit. This is done by entering the limit expression, for example: limit(f(x), x, a) where f(x) is the function, x is the variable, and a is the value at which you want to find the limit.

Evaluate the limit: After entering the limit expression, you can evaluate it by pressing the "enter" or "=" button. The calculator will then display the limit of the function at the specified value.

It's important to note that a graphing calculator can only estimate the limit of a function based on the accuracy of the graph, so the result may not be exact. Additionally, some functions may have limits that cannot be evaluated using a calculator. In these cases, you may need to use analytical methods to determine the limit.

Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cubes.How many cubes have just one red face?

Answers

The number of cubes that have just one red face is 25.

What is a cube?

A solid three-dimensional shape called a cube contains six square faces, eight vertices, and twelve edges.

Given:

Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cube.

The surface area of the cube with dimensions 5 x 5 x 5,

= 6 x 5 x 5

= 150 square units.

The surface area of the cube with dimensions 1 x 1 x 1,

= 6 square units.

The number of cubes that have just one red face is,

= 150/6 = 25

Therefore, 25 is the required number.

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Wayne earns 5.3% simple interest for 5 years on $3000. How much interest does he earn on the account? I=prt
*
1 point
$883.86
$795
$3,883.86
$1,795

Answers

Answer: I would say it’s D. $1,795

Step-by-step explanation: why not pick D….

Hope this helps^^

The simple interest earned on $3000 after 5 years at 5.3% rate of interest is $795. The correct option is C .

Given,

Principal amount = $3000

Rate of interest = 5.3%

Time = 5 years

Now,

Simple interest = Principal × ROI ×Time/100

Substitute the values ,

Simple interest = 3000 * 5.3 * 5/ 100

Simple interest = 79500/100

Simple interest = $795

Total amount after 5 years = $3000 + $795

= $3795

Hence simple interest earned on $3000 at ROI of 5.3% after 5 years will be $795 .

Therefore option C is correct.

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Linda drove 567 miles in 9 hours.
At the same rate, how long would it take her to drive 693 miles?

Answers

The time taken by Linda to cover 693 miles is 11 hours.

What is rate of change?

Rate of change is the speed at which the variables changes with respect to time.

In 9 hours Linda drove 567 miles.

Miles travelled in 1 hour is,

[tex]speed=\frac{distance covered}{timetaken}[/tex]------(1)

         =[tex]\frac{567}{9}[/tex]

         = 63 miles per hour.

Linda drove 63 miles per hour.

She is travel in the same rate from the beginning.

Let  t be the time taken by her to travel 693 miles is,

By using (1),

[tex]speed=\frac{distance covered}{timetaken}[/tex]

[tex]t=\frac{693}{63}[/tex]

⇒t=11 hours.

Hence, the time taken by Linda to cover 693 miles is 11 hours.

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A group of 10 Science Club students is on a field trip. That number of students represents
20% of the total number of students in the Science Club. What is the total number
of students in the Science Club?
A
B
D
20
30
50
80

Answers

The total number of students in the science club will be 50. The correct option is C.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

If 10 students represent 20% of the total number of students in the Science Club, then 10 / 0.2 = 50 students is the total number.

Therefore, The total number of students in the science club will be 50. Then the correct option is C

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Please help!!!
I will give brainly if it gives me the opportunity

Answers

The expression that will help to find the area of the given shaded region is 3x²+27x+51.

What is area?

Area is a measure of the amount of space inside a two-dimensional shape or surface. It is usually expressed in square units, such as square inches, square feet, or square meters. The area of a shape can be calculated by multiplying its length by its width, or by using a specific formula for that shape. For example, the area of a rectangle is found by multiplying its length and width, while the area of a circle is found by multiplying the square of its radius by pi (3.14). Area is an important concept in mathematics, and it is used in many real-world applications such as calculating the amount of paint needed to cover a wall, or the amount of land needed to build a house.

Here,

area of rectangle=(x+10)(2x+5)

area of square=(x+1)²

area of shaded region=area of rectangle-area of square

=(x+10)(2x+5)-(x+1)²

=2x²+20x+5x+50+x²+2x+1

=3x²+27x+51

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-3.5 (2 – 1.5n) – 4.5n

a. -7 – 6n


b. -7 + 0.75n


c. -7 – 9.75n


d. -7 – 9.5n

Answers

Answer:B

Step-by-step explanation:

-7+5.25n-4.5n=-7+0.75n

When the expression is simplified it will be option {B}

half as big as last night’s crowd ( c = size of last night’s crowd )
verbal expression to algebraic expression

Answers

Answer:       (1/2)c

To write an algebraic expression, convert parts of the verbal expression.

What is an expression?

An expression is numbers or variables with operations performed between them. It does not have an equal sign.

Operations

Operations are ways we change numbers, usually to make them bigger or smaller. Examples of operations are multiplication, division, subtraction, addition, and square root.

Write an expression

The question says:     "half as big as last night’s crowd"

last night's crowd = c

'half as big' = 1/2

This is a proper fraction with the top number smaller than the bottom number. When we multiply 'c' with a proper fraction, the answer would get smaller.

Therefore, we can represent the problem using the expression  [tex]\frac{1}{2}c[/tex].

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The total number of signatures on a petition
doubles each week. In the sixth week, there
are 192 signatures on the petition. How many
signatures were on the petition in the first week?

(PLEASE give me an answer that is different from 192/2 96/2 etc..)

Answers

The number of signature on the petition in the first week is 6

What is doubling?

A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself, we say that the number is doubled.

Since the signature doubles every week

represent the initial signature by x

p(o) = x

second week =2 x

third week =4 x

fourth week = 8x

fifth week =16 x

sixth week = 32x

32x = 192

x = 192/32

x = 6

therefore the number of signature on the petition in the first week is 6

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Please work the problem

Answers

Answer:

6x-7=3x-29

6x-3x=-29+7

3x=-23

x=-23/3

6x-7=8y+17

6(-23/3)-7=8y+17

-46-7=8y+17

8y+17+53=0

y=70/8

Y=8.75

ANS!!

Sanjay stacks three boxes in a pile. The heights of the boxes are 25cm 36cm and 47cm. They are all measured correct to the nearest centimetre. What is the greatest possible height of the stack of the three boxes?

Answers

The greatest possible height of the stack of the three boxes is the sum of the heights of the boxes, which is 25cm + 36cm + 47cm = 108cm. This is the maximum height of the stack if each box is placed directly on top of the other.
the answer would be 108cm high

Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink? Choose the correct equation and answer for this situation.
7 ÷ 84 =
= 12 ounces
84 ÷ 7 =
= 12 ounces
7 ÷ 84 =
ounces
84 ÷ 7 =
ounces 50 points if answered

Answers

Answer:

Each person will receive 12 ounces

Step-by-step explanation:

84 ounces divided by 7 people

84 / 7 = 12

Determine which of the following properties are always true by dragging them to the right:
-All four sides are congruent
-Opposite sides are congruent
-Opposite sides are parallel
All four angles are congruent
-Opposite angles are congruent
Diagonals are congruent
-Diagonals bisect each other
-Diagonals intersect at a right angle
diagonals bisect interior angles
-Sum of all angles equals 360

Answers

The properties that are always true are: Opposite sides are congruent. Opposite sides are parallel. Opposite angles are congruent. Sum of all angles equals 360. Diagonals bisect each other.

What are diagonals?

A diagonal in mathematics is a line that joins two solids or polygons whose vertices are not on the same edge. Generally speaking, a diagonal is a sloping or slanting line that joins the vertices of a form. The term "diagonal" refers to lateral forms with sides, edges, and corners.

The properties that are always true are:

Opposite sides are congruent.

Opposite sides are parallel.

Opposite angles are congruent.

Sum of all angles equals 360.

Diagonals bisect each other.

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Micaela bought a concert ticket online for $76. She used a coupon code to get a 20%
discount. The website also applied a 5% processing fee to the price after the discount.
How much did Micaela pay, in the end? Round to the nearest cent.

Answers

Micaela paid the amount of $63.8 in the end for a concert ticket.

How to calculate the percentage discount?

Subtract the final price from the original price then Divide this number by the original price. Finally, multiply the result by 100. You've obtained a discount in percentages.

Reformulate the basic equation to:

% discount = 100 × (original price - discounted price) / original price

To calculate the final price that Micaela paid, we need to apply the discount and the processing fee to the original price of the ticket.

The discount is 20% of the original price of $76, which is:

discount = 0.2 x $76 = $15.20

So Micaela paid:

price after discount = $76 - $15.20 = $60.80

Now we need to apply the processing fee. The processing fee is 5% of the price after the discount, which is:

processing fee = 0.05 x $60.80 = $3.04

So the final price that Micaela paid is:

final price = $60.80 + $3.04 = $63.84

Therefore, she paid $63.8 in the end, rounded to the nearest cent.

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aiden earns 16.00 per hour if he gets a 4% raise, what will be his new hourly wage

Answers

Aiden's new hourly wage would be 16.64 per hour.

Solution:

We have been given that Aiden's hourly wage is 16.00 per hour

So, If he gets a 4% raise then his hourly wage will be,

16* (100+ 4) / 100 = 16.64

Therefore, Aiden's new hourly wage will be 16.64 per hour.

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HELP ASAP !!!!!!!PLEASE

Answers

The functions y = 2 (1/5)^(x) - 5 and y = 2^x are compared as follows

                                 y = 2 (1/5)^x - 5                y = 2^x

Starting value:               2                                    1

base function:        decay function = 1/5         growth function = 2

Transformation:     translation: 5 units down  no transformation

What is decay function?

A decay function is a mathematical function that models the decrease or diminution of a value over time and is used in many disciplines including physics, engineering, economics, and machine learning.

It is a sort of function that, as time goes on, approaches zero at a pace proportionate to its current value.

The base function for decay functions is an exponential function, is

0 < k < 1

The growth function, which has values greater than 1, is the reverse of the decay function.

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3. CONSTRUCTION
The diagram shows an
example of the Pratt truss used in bridge
construction.
Find m/1.

Answers

The angle ∠1 is 55 degrees.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that  diagram shows an example of the Pratt truss used in bridge

construction.

We need to find the angle ∠1.

The given triangle is a right angle triangle which has one angle 90 degrees.

The adjacent angle to 145 degrees be angle 2.

145+∠2=180

∠2=180-145

∠2=35 degrees.

We know that the sum of three angles is 180 degrees

So ∠1+35+90=180

∠1+125=180

Subtract 125 from both sides

∠1=180-125

∠1=55

Hence, the measure ∠1 is 55 degrees.

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Ayana is
1
1
2
1
2
1

1, start fraction, 1, divided by, 2, end fraction meters tall. Her little sister Chike is
1
1
4
1
4
1

1, start fraction, 1, divided by, 4, end fraction meters tall.

Answers

Ayana is 6/5 times as tall as Chike.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Height of Ayana = 1 1/2 meter

And, Height of Chike = 1 1/4 meter

Now, We can simply solve the above problem as follows;

Height of Ayana = 1(1/2) meters

We can also write it as;

= 3/2 meters

And, Height of Chike = 5/4 meters

Hence, To compare the given fractions we will first make the denominator equal by taking the LCM.

LCM of 2 and 4 = 8

Hence, Heights of Ayana can be rewritten as, 12/8 meters

And, Height of Chike can be rewritten as, 10/8

Now, Comparing the height of Ayana and Chike as;

= (12/8) ÷ (10/8)

= 12/10

= 6/5

Hence, Ayana is 6/5 times as tall as Chike.

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Complete question is this,

Ayana is 1(1/2) meters tall. Chike is 1(1/4) meters tall. Complete the comparison.

Ayana is ____ times as tall as chike.

how do i solve -(-8q-8.7)

Answers

On solving the expression, we get -> (8q + 8.7).

What are algebraic expressions in mathematics?

In mathematics, an expression or mathematical expression is a combination of terms, both constants and variables. For example -

2x + 4y + z

Given is the algebraic expression as -

- (- 8q - 8.7)

The given expression is -

- (- 8q - 8.7)

- (- 8q) - (- 8.7)

8q + 8.7

Therefore, on solving the expression {- (- 8q - 8.7)}, we get -> (8q + 8.7).

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Find a particular solution y, of the following equation using the Method of Undetermined Coefficients. Primes denote the derivatives with respect to x. y'' + 17y=3e^8xA particular solution is y,(x) =

Answers

The general solution for the non-homogeneous equation is the sum of the homogeneous solution and the particular solution::

y(x) = c1 * cos(√-17i * x) + c2 * sin(√-17i * x) + (3/64) * e^8x

where c1 and c2 are arbitrary constants.

The method of undetermined coefficients is used to find a particular solution for a non-homogeneous linear ordinary differential equation of the form:

dy/dx + p(x)y = g(x)

where p(x) and g(x) are known functions. To use this method, we first find the general solution of the corresponding homogeneous equation:

dy/dx + p(x)y = 0

The general solution of this homogeneous equation can be written as:

y = c1 * y1(x) + c2 * y2(x)

where c1 and c2 are arbitrary constants and y1(x) and y2(x) are the linearly independent solutions of the homogeneous equation.

Next, we guess a particular solution yp of the non-homogeneous equation of the form:

yp = A * f(x)

where A is an unknown constant and f(x) is a function of x that matches the form of the forcing function g(x).

For the given equation: y'' + 17y = 3e^8x

The corresponding homogeneous equation is: y'' + 17y = 0

The characteristic equation is: r^2 + 17 = 0

The roots are: r = ±√-17i

So the general solution of the homogeneous equation is:

y = c1 * cos(√-17i * x) + c2 * sin(√-17i * x)

where c1 and c2 are arbitrary constants.

For the non-homogeneous equation, we guess a particular solution of the form:

yp = A * e^8x

where A is an unknown constant. Substituting this into the non-homogeneous equation, we have:

yp'' + 17yp = A * 8^2 * e^8x = A * 64e^8x

Comparing the right-hand sides of the two equations, we see that yp'' + 17yp = A * 64e^8x = 3e^8x, so A = 3/64.

Therefore, a particular solution for the non-homogeneous equation is:

y = yp = (3/64) * e^8x

The general solution for the non-homogeneous equation is the sum of the homogeneous solution and the particular solution:

y = c1 * cos(√-17i * x) + c2 * sin(√-17i * x) + (3/64) * e^8x

where c1 and c2 are arbitrary constants.

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In the diagram, ABC = DEF.
6. Find the value of x.
7. Find the value of y.
64.3
A
65°
B
75°
96.6
90.6
40°
C
D(2y-5)°
E 2x + y

Answers

The triangles ∆ABC and ∆DEF are similar triangles, and ∆ABC ≅ ∆DEF. The values of x and y are 30.6 and 30° respectively.

What are similar triangles

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

We have that line AC of the triangle ∆ABC corresponds to line BK of the triangle ∆DEF and also angle A of the triangle ∆ABC corresponds to angle D of the triangle ∆DEF.

We can evaluate for the values of x and y as follows:

2y - 5 = 65

2y = 65 - 5 {subtract 5 from both sides}

2y = 60

y = 60/2 {divide through by 2}

y = 30

2x + y = 90.6

2x + 30 = 90.6

2x = 90.6 - 30 {subtract 30 from both sides}

2x = 60.6

x = 60.6/2 {divide through by 2}

x = 30.3

In conclusion, the triangles ∆ABC and ∆DEF are similar triangles, and ∆ABC ≅ ∆BMK. The values of x and y are 30.6 and 30° respectively.

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what game is gang midfielder 2 about? what are the five steps to making a good, healthy decision? is the tank creation a capital goods industry b) Lizzie has gross monthly pay of 1,480. She has to pay income tax of 112.67 and NICs of 96.48. How much is her net pay? Chemical bonds hold together the atoms that make up a molecule. Molecules may also be attached to one another by chemical bonds. The figure shows how hydrogen bonds attach water molecules to other water molecules.Drag the terms on the left to the appropriate blanks on the right to complete the sentences.HelpResetpolar covalent bondhydrogen bondnegativehydrogenionic bondpositiveoxygen1. A water molecule consists of one oxygen atom joined to each of two hydrogen atoms by a(n) ____, a type of bond in which the electrons do not spend equal time with the two atoms involved.2. Because oxygen is more electronegative than hydrogen, the electrons in a water molecule spend more time closer to _____.3. The unequal distribution of electrons means that each of the three atoms in a water molecule has a ____. This makes water a polar molecule.4. The oxygen of a water molecule has a partial ____ charge.5. Each hydrogen in a water molecule has a partial ____ charge.6. A weak bond called a(n) _____ forms as a result of the attraction between the slightly positive hydrogen of one water molecule and the slightly negative oxygen of a nearby water molecule. is there a difference between physical dependence and addiction? Your friend Sam has been asked to prepare appetizers for the university reception. She has an unlimited amount of ingredients and six hours in which to prepare them. Sam can make 400 mini-sandwiches or 200 servings of melon slices topped with smoked salmon and a dab of sauce per hour.Sam's opportunity cost of making one mini-sandwich is (Click to select) 2 melon appetizers 0.5 melon appetizer .Sam's opportunity cost of making one melon appetizer is (Click to select) 2 mini-sandwiches 0.5 mini-sandwich .Suppose the reception has been postponed, so Sam has an extra four hours to prepare. The opportunity cost of making one mini-sandwich is now (Click to select) 0.5 melon appetizer 2 melon appetizers .Suppose the reception has been postponed, so Sam has an extra four hours to prepare. The opportunity cost of making one melon appetizer is now (Click to select) 2 mini-sandwiches 0.5 mini-sandwich .Suppose Sams friend Chris helps by preparing the melon slices, increasing Sams productivity to 400 mini-sandwiches or 400 melon appetizers per hour. The opportunity cost of making one mini-sandwich is now (Click to select) 1 melon appetizer 2 melon appetizers .Suppose Sams friend Chris helps by preparing the melon slices, increasing Sams productivity to 400 mini-sandwiches or 400 melon appetizers per hour. The opportunity cost of making one melon appetizer is now The following pedigree concerns the rare autosomal recessive disease phenylketonuria (PKU}. The couple marked A and B are contemplating having a baby but are concerned about the baby having PKU. What is the probability of the first child having PKU? A. 4 0 B. 1/12 C.16 D.9/64 E.34 What is meaning of GDP per capita? what is 3 5 as a decimal what is difference between parameter and statistic england established american colonies based on the economic concept of mercantilism. the goal of mercantilism was to _____ Many cell organelles, most notably the nucleus, are anchored by ___________ which are assembled from a diverse class of proteins. Find each angle measure to the nearest degree.3) sin U = 0.99454) tan C = 3.7321 What is found in the space between the two pleural layers? a. heart b. lung c. pleural fluid d. thoracic wall e. visceral pleura 100 points, brainliest, and multiple choice!!!!!! Over the course of a year, stars should appear to move back and forth, with stars closer to us moving a larger distance. however, they did not measure stellar parallaxthe stars did not appear to move back and forth at all over the course of a year. what is the most likely reason for this apparent lack of motion? A balloon is filled with 35. 0 l of helium in the morning when the temperature is 20. 00 c. By noon the temperature has risen to 45. 00 c. What is the new volume of the balloon?. Carbohydrates are used in cells for structural purposes and as an energy source. What is the main type of carbohydrate contained in each of the following? 1. Potato as food 2. Fruit as food 3. Stored human energy 4. Human blood sugar.1. starch 2. fructose 3. glycogen 4. glucose What personality type is an Architect?