Complete the perfect square:

Complete The Perfect Square:

Answers

Answer 1

Answer:

(x+10)²=x²+20x+100

.................


Related Questions

Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.

Answers

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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I cant solve please help me

I cant solve please help me

Answers

Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

A sum of money at simple interest doubles itself in 10 years.Find the rate percent per annum​

Answers

doubles the interest means rate in 10year=200%

Now

No of years=10

ANNUAL interest=200/10=20%

which pint on the number line best represents the squat root of 10

which pint on the number line best represents the squat root of 10

Answers

Answer:

e is ya answer hope you have a blessed day

Step-by-step explanation:

A 5 foot person walks at 40 feet per minute on a level path toward a vertical wall. A light on the ground directly behind the person casts a shadow of the person on the wall. The light is loo feet from the wall. How fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall?O -31/9O -32O -8/9O -125/14O -125/28

Answers

-32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

In the given question, a 5 foot person walks at 40 feet per minute on a level path toward a vertical wall.

A light on the ground directly behind the person casts a shadow of the person on the wall.

The light is loo feet from the wall.

We have to find how fast the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall.

From the diagram given below;

dx/dt = 40 feet/min

y/100 = 5/x

Multiply by 100 on both side, we get;

y = (5×100)/x

y = (500)/x

dy/dt = -500/x^2(dx/dt)

Now putting the value of dx/dt

dy/dt = -500/x^2 *40

dy/dt = -20000/x^2

from the diagram given below, x = 75 feet

Now putting the value of x

dy/dt = -20000/(75)^2

dy/dt = -32/9 feet/min

Hence, -32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

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A 5 foot person walks at 40 feet per minute on a level path toward a vertical wall. A light on the ground

(Diversifying Portfolios MC)
worth points)
Name of Stock Symbol High Low Close
Stock A
105.19 103.25 103.38
Stock B
145.18 143.28 144.05
A
B
Last year, an investor purchase
difference in overall loss or ga
O The difference in overall gain is $207.00.
O The difference in overall loss is $207.00.
O The difference in overall loss is $200.70.
O The difference in overall gain is $200.70.
shares of stock A at $90 per share and 75 shares of stock B at $145 per share. What is the
ween selling at the current day's high price or low price?

Answers

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?

What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?

Answers

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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el valor númerico del término n=15 de la sucesión 5 20 80... es?​

Answers

Answer:

É 5x3=15

Step-by-step explanation:

The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.


Is the relation a function? Explain.
O Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input

Answers

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

When does a relation represents a function?

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

Missing Information


The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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What is the answer to 7x-2=5x+16

Answers

Answer:

x=9

Step by step explanation:

Add 2 to both sides, simplify, subtract 5x from both sides

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

7x - 2 = 5x + 16

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 5x on both sides:                    2x - 2 = 16[Addition Property of Equality] Add 2 on both sides:                                    2x = 18[Division Property of Equality] Divide 2 on both sides:                                 x = 9

tina is training for a biathlon. To train for the bicycle portion, she rides her bike 15 miles uphill and 15 miles back down. the complete trip takes her 2 hours. If her downhill speed is 20 miles per hour fadter than her uphill speed how fast does dhe ride uphill? ​

Answers

Answer:

Step-by-step explanation:

Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.

Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)

Answers

Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

9.Iconstruction In problem 4, topsoil must be bought to cover the sector to a depth of 4 in.How many cubic yards of topsoil are needed? (Be careful with the units.)

Answers

The sketch of the question can be shown on a line diagram below

\(\begin{gathered} where \\ \theta=gr\text{ adient angle} \\ \text{opposite = 6 ft} \\ \text{adjacent = 82 ft} \end{gathered}\)

To get the gradient angle, we make use of the trigonometrical ratio of tan

\(\begin{gathered} \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \\ \tan \theta=\frac{6}{82} \\ \tan \theta=0.0732 \\ \theta=\tan ^{-1}(0.0732) \\ \theta=4.187^0 \\ \end{gathered}\)

Therefore, the gradient angle of the road is 4.19 degrees.

9.Iconstruction In problem 4, topsoil must be bought to cover the sector to a depth of 4 in.How many

Xavier's teacher gave an extra / of a grade point for each correct bonus question on a test. Xavier answered 9 bonus questions correc
How many extra points did he earn?

Answers

Hi there! Your answer to this question would be 90%..

Step By Step Explanation:

So we know that 100% is the average grade for an correct for an entire test.

But how can we find 90%?

Let think like this. 10=100%.

Well if 10 is 100% then 9 would be 90% since every 1 of 10 is 10%.

Final Result: 90%

A recipe uses 1 ¼ cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk? Answer value

Answers

Answer:

4567

Step-by-step explanation:

two more than a number is less than 13

Answers

Answer:

x + 2 < 13

Step-by-step explanation:

hopefully this helps :)

have a nice day !!

**please let me know if this wasn't what you were looking for**

Pls help I need help on this question

Pls help I need help on this question

Answers

Answer: B

Step-by-step explanation: Hope this helps:)

Find the product and simplify completely. 1 5/8 2 /3/5 MH Enter the number that goes in the green box. Enter​

Answers

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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i need help with this, please and thanks. I'll appreciate your help.

i need help with this, please and thanks. I'll appreciate your help.

Answers

Answer:

the answer is  -15 17/34, -15 ,8/20, 15 9/30

Step-by-step explanation:

pllz may i have brainliest

Answer:

-15 17/34, -15, 8/20, & 15 9/30

Step-by-step explanation:

1st: -15 17/34

2nd: -15

3rd: 8/20

4th: 15 9/30

I hope this helps you with your assignment and gl on your assignment! :D

URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!

URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!

Answers

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

What is 9,167.364 in expanded form?

Answers

Answer:

9,000+100+60+7+.3+.06+.004

Step-by-step explanation:

9000+100+60+7+.300+.060+.004

Please explain your answer to the question in the picture with steps

Please explain your answer to the question in the picture with steps

Answers

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

Rational equation

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

<95141404393>

Energy of 0.2 J is stored in the metal sphere on top of a Van de Graaff generator. A spark carrying 1 micro-coulomb (10^(-6)) discharges the sphere. Find the sphere's potential relative to ground.

Answers

Energy 0.2 J is stored in the metal sphere on top of a Van de Graaff generator. A spark carrying 1 micro coulomb (10^(-6)) discharges the sphere. Then the sphere's potential relative to ground is 2×(10)^5 or 200000.

We have given that,

Potential energy (PE)= 0.2 J

Charge(q)= 1×(10^(-6))

To find Potential Difference(V)

We know the formula,

Potential difference (V) = PE/q

                                       =(0.2 J)/(1×(10)^-6)

                                       = 0.2 × 10^6

                                       = 2× (10)^5 = 200000 V

Therefore sphere's potential relative to ground is 2×(10)^5 V

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Liz and Andy make money selling jewelry at a local fair. Liz and Andy both sell necklaces for $8 each. Andy also sells bracelets. Andy makes a total of $35 selling bracelets. Use this information for Parts A and B below.


PART A: Write an expression that represents the total amount of money Liz and Andy make at the fair if L is the total amount of necklaces Liz sells and A is the total amount of necklaces Andy sells. 8L+8A


PART B: Write a different expression that also represents the total amount of money Liz and Andy make selling jewelry at the fair. Use words and/or numbers to show your work. a=35+8l

Answers

Answer:

Part A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair is

The total amount they both make from selling necklaces = 8·L + 8·A

Part B

The total amount they both make from selling jewelries = 35 + 8·L + 8·A

Step-by-step explanation:

The amount at which Liz and Andy sells necklaces = $8

The amount Andy makes selling bracelets = $35

Part A

The total amount of necklaces Liz sells = L

The total amount of necklaces Andy sells = A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair, 'N', is given as follows;

N = 8·L + 8·A

Part B

The expression for the total amount of money Liz and Andy makes selling jewelries at the fair, 'J', is given as follows;

J = 35 + 8·L + 8·A

Which one of the them please?

 Which one of the them please?

Answers

Answer:

Dog.

Step-by-step explanation:

Because:-

Tomato is much lighter.

Pineapple is not convincing

Dog is reliable.

Pencil is not correct.

Dog. Source: trust me bro

Offering a lot of points for this

Offering a lot of points for this

Answers

Answer:

6x - 1

Step-by-step explanation:

Add 3x and 3x.

6x − 1

ídk hope this helps... ( ̄▽ ̄)ノ

Answer:

6x-1

Step-by-step explanation:

The line y=px+2 is parallel to the line 2x+y=5. Determine the value of p

Answers

Answer:

-2

Step-by-step explanation:

The line y=px+2 has slope p

The line 2x+y=5 can be rewritten as y =-2x+5 so it has slope -2.

Since the two are parallel then they must have the same slope. Hence p=-2.

Answer:

p = - 2

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 )

Given

2x + y = 5 ( subtract 2x from both sides )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes

Thus for y = px + 2 to be parallel to y = - 2x + 5

Then p = - 2


James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?

Answers

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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What is the perimeter of the figure?
10 m
5 m
4 m.
6 m
5 m

Answers

Answer:

I'm sorry what figure?

Step-by-step explanation:

What is the surface area of this cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm

Answers

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

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