What is the perimeter of a parallelogram with base 32 cm and side length 34 cm?

Answer:

It would take Farmer John 10 hours on his own to till his field.

Step-by-step explanation:

Let;

J = Time spent by John alone

B = Time spent by Bob alone = 1.5 * J = 1.5J

Time spent by both = 6

Using reciprocal, time spent by John alone can be calculated as follows:

(1 / J) + (1 /1.5J) = 1 / 6

Multiply through by 6J and solve for J, we have:

(6J / J) + (6J / 1.5J) = 6J / 6

6 + (6 / 1.5) = J

J = 6 + 4 = 10

Therefore, it would take Farmer John 10 hours on his own to till his field.

When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.

Therefore the answer is c)  reaction is at equilibrium.

Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.

It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.

When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.

--The question is incomplete, answering to the question below--

"In which direction will the net reaction proceed.

X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k

for each of these sets of initial conditions?

A) [X] = [Y] = [Z] = 1.0 M

[a] net reaction goes to the left [this one?]

[b] net reaction goes to the right

[c] reaction is at equilibrium"

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Ralph would most likely get more items correct than his Grandmother.

If both Ralph and his Grandmother took the Intelligence Quotient i.e., IQ test, then Ralph would most likely get more items correct than his Grandmother. This is due to Flynn Effect.

Flynn Effect refers to secular increase in population intelligence quotient observed throughout the 20th century. It demonstrates that the average of the IQ scores will change as varying generations have different thresholds for what intelligence is necessary.

Flynn Effect is documented by Flynn in a study on intelligence quotient. As Ralph's grandmother was born on 1925 and Ralph was born in 1990, so they have a generation gap of almost six decades. That is why Ralph will have a higher IQ than his grandmother.

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a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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Answer:

Total deposit: $501.6

Total Balance: $985.05

Step-by-step explanation:

Aisha's original total is 523.45. Since she is depositing a check for $435.62 and a check for 65.98, you add both check totals to the original balance, by lining up the numbers and adding down the line. This will be the total deposit:

435.62

+ 65.98

    =

$501.6

$501.6 is the total deposit. To find the total checking balance, add the total deposit to $523.45.

523.45

+501.6

    =

1025.05

This is her total balance before Aisha receives $40.

Next, you subtract what she wants to deposit, $40, since she is taking $40 out of her checking account.

1025.05

- 40.00

   =

985.05

The total checking balance is $985.05

So

And

Now

From mBD

Now

m<AEC

Option A

Answer:

14m=1400cm

Step-by-step explanation:

100cm=1m

7m=700cm

And the model is 2 cm

So the real length is 1400cm or 14m

Answer:10

Step-by-step explanation: 14/4= 3.5, 35/3.5=10

After answering the provided question, we can conclude that As a result, expression Eukenes' new room could have the following rectangular dimensions: 10 ft. x 11 ft. ; 9 ft. x 13 ft.; 8 ft. x 15 ft.; 7 feet wide by 17 feet long.

An expression in mathematics is a collection of interpretations, digits, and transnational corporations that resemble a clear relationship or regimen. A sequence of numbers, a mutable, or a combo of the two can be used as an expression. Mathematical operators include addition, subtraction, growing influence, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Eukenes' current bedroom is located in:

108 square feet = 9 feet x 12 feet

The main room area without the alcove is:

9 feet x 12 feet minus 4 feet x 3 feet equals 108 square feet minus 12 square feet equals 96 square feet.

To determine the dimensions of the new room, we must first locate a rectangle with an area greater than or equal to 108 square feet.

Let's take a look at each option:

110 square feet = 10 feet x 11 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

117 square feet = 9 feet x 13 feet

This room is also larger than Eukenes' current bedroom and could accommodate him.

120 square feet = 8 feet x 15 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

119 square feet = 7 feet x 17 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

114 square feet = 6 feet x 19 feet

This room is much smaller than Eukenes' current bedroom and would be ineffective.

As a result, Eukenes' new room could have the following rectangular dimensions:

10 ft. x 11 ft.

9 ft. x 13 ft.

8 ft. x 15 ft.

7 feet wide by 17 feet long.

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By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

In this case we have a linear variable x, whose increase is described by the following expression:

y = x · (1 + r/100)     (1)

Where r is the increase rate.

If we square (1), then we find that:

y² = x² · (1 + r/100)² = (1 + r'/100)     (2)

Where r' is the equivalent increase rate.

(1 + r/50 + r²/10000) = (1 + r'/100)

r'/100 = r/50 + r²/10000

r' = r/2 + r²/100

If we know that r = 25, then the equivalent increase rate is:

r' = 25/2 + 25²/100

r' = 18.75

By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

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Answer:

Step-by-step explanation:

1*2x+y=4

-1*2x+y=-4

-2x=-y-4

2x=y+4

x=y+4/2

An ounce unit will best represent each scenario.

The average weight of an elephant is around 3000-4000 kg.

The average weight of a mouse = 15-20 grams

The average weight of a puppy = 25-30kg

It is given that

Weight of the elephant = \(1.5 * 10^5\) units ≈150000 units

Weight of the mouse = \(6.3*10^2\) units ≈630 units

Weight of the puppy = \(1.2*10^3\) units ≈1200 units

1 ounce = 0.0253495 kg

150000 ounces = 3800kg, near to actual value

630 ounces = 16kg, near to actual value

1200 ounces = 30kg, near to actual value

Therefore, an ounce unit will best represent each scenario.

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Answer:

graph?

Step-by-step explanation:

Answer:  you forgot to show the answer choices but

When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis.

Hope this helps :)

Answer:

4/3

Step-by-step explanation:

The formula is (y1-y2) /(x1-x2)

Answer:

slope = \(\frac{4}{3}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (- 1, - 2)

m = \(\frac{-2-2}{-1-2}\) = \(\frac{-4}{-3}\) = \(\frac{4}{3}\)

Answer:

11.43

Step-by-step explanation:

cause im smart.........

Answer:

the answer is A

Step-by-step explanation:

If 1 inch is 2.54 cm then 4.5 inches is equal to 2.54 X 4.5

The difference between the investment below and one with the same principal at the same rate compounded yearly is $18123.29.

The Payback Period is the most straightforward metric to use when contrasting investment options. Simply defined, this is the minimal amount required for you to recoup your initial investment.

compound interest, which is referred to as

\(A = P(1+r/n)^n×t\)

Where

A = amount at the end of t years

r = interest rate.

n = periodic interval

P = principal amount deposited

Considering  investment compounded annually

P = 7000

r = 3% = 3/100 = 0.03

n = 1

t = 17 years

\(A = 7000(1 + 0.03/1)^1× 12A = 7000(1.03)^12\)

A = $9980.32

For the second investment,

n = 6

\(A = 7000(1 + 0.08/6)^6 × 12A = 7000(1 + 0.0133)^72A = 7000(1.0133)^72A = $18123.29\)

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The 30°-60°-90° special triangle side length relationship indicates that the length of the longer leg is 54 kilometers

A 30°-60°-90° triangle is a special right triangle, with the interior angles consisting of 30°, 60°, and 90°

The relationship between the legs of a 30°-60°-90° can be presented in the following form;

tan(30°) = a/b, where;

a and b are the lengths of the legs of the special 30°-60°-90°, triangle

tan(30°) = (√3)/3, therefore;

tan(30°) = a/b = (√3)/3

b/a = 3/√3 = √3, where b is the longer side of the 30°-60°-90° right triangle

b = a × √3

Therefore, the longer leg is √3 multiplied by the shorter leg

The length of the shorter leg = 18·√3 kilometers, therefore;

The length of the longer leg = 18·√3 km × √3 = 18 × 3  kilometers = 54 kilometers

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The amount that the credit union will finance is $24169.60

We have given that the cost of the car is $22,346. 16

and the credit union required 10% down payment

and sale tax=7.6%

The license and title charges are $125. 13.

We have to determine that the  amount that the credit union will

finance Now  we have sale tax 7.6% for $22,346. 16

Therefore, we get

\(\frac{7.6}{100} \times 22,346. 16=1698.31\)

credit union finance=cost of car+sales tax+the license and title  charges.

\(=22346.16+1698.31+12.13\\=24169.60\)

Therefore, the amount that the credit union will finance is $24169.60

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Answer: 80

Step-by-step explanation:

4500-2500 is 2000 dollars reduction, or money paid off.

For every 250 dollars, there is a 10 points increase. 2000 divided by 250 is 8. There are 8 sets of 250 dollars. So, for every 250 dollars (you have 8 of them), 10 points increase. Therefore, you multiply 10 by 8.

10x8 = 80. Your credit score has increased by 80 points.

Answer:

3x^2 ( x+5)

Step-by-step explanation:

1/x^2  + 1/( 3x^2 +15x)

Factor the denominators

x^2 = x*x

3x^2 +15x = 3 *x( x+5)

The common denominator is

x* 3x* (x+5)

3x^2 ( x+5)

Answer:

number is 18

Step-by-step explanation:

let the number be n then the quotient of the number and 2 is \(\frac{n}{2}\) , so

\(\frac{n}{2}\) - 4 = 5 ( add 4 to both sides )

\(\frac{n}{2}\) = 9 ( multiply both sides by 2 to clear the fraction )

n = 2 × 9 = 18

The number is 18

Answer:

61%

Step-by-step explanation:

Area of square:

=a²

=12²

=144

Area of two quarter circles:

=2(¼×π×r²)

=2(¼×π×6²)

=2×28.72

=56.55

Finding the percentage:

=(56. 55÷144)×100

=0.3937×100

=39.27

subtract 100% by 39.27% to find the percentage of how much is shaded

=100-39.27

=60.73

=61 (rounded off to the nearest whole percent)

Upon solving the word problem, Following are the variable in the quantities, The number of evenings Jenny works on homework is 7 days a week

The number of classes Jenny is taking is five

The number of days Jenny plays softball is three

The number of days Jenny meets with her after-school clubs is two.

In a word problem, rather than using mathematical notation, the majority of the issue's context is provided through spoken words.

A math word problem is a question that is written as one or more sentences and challenges students to apply their knowledge of mathematics to a "real world" problem. Kids need to be familiar with the vocabulary associated with the mathematical symbols they are used to in order to comprehend the word problem.

A typical kind of word problem is a mathematical modeling issue, where information and specifics about a particular system are given, and the student is asked to build a model. For instance, Jane spent $2 of her $5.

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Answer:

Step-by-step explanation:

4x + 2x = 90

6x = 90

x = 15

4(15)= 60 for <LMN

2(15)= 30

Step-by-step explanation:

20=4*1.95+1.99n

n=6

Audrie can buy 6 notebooks

Answer:

x = -12.57

Step-by-step explanation:

2x + 45 - 56 = 9x + 54 + 23

2x - 11 = 9x + 77

-11 = 7x + 77

-88 = 7x

x = -12.57