Which could be the first step in solving the equation represented by the model below? XX X X Add 4 negative unit tiles to both sides. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side. Add 4 positive unit tiles to both sides. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.​

As the consumption rate of 1997  estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .

As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days  so comsumption of oil yearly was .

1997 consumption = 73.700 million barrels per day

so for 1 year 73.700 million *365 =26,900.5 million barrels per day

her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil

2000 billion = 2,000,000 millions

here we are calculation this in million

so for 2,000,000 million will be

2,000,000 million /26,900.5 million =74.34 year

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Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

Answer:

the daily balance of Elliott's account for the month of June is $1497.37.

Step-by-step explanation:

Day 1: 1223

Day 10: 1838 (1223+615)

Day 15: 1775 (1838 - 63)

Day 22: 1655 (1775 - 120)

To find the average daily balance, we add up the balances for each day and divide by the number of days in June:

The total amount of merchandise that stores A and B sold is 21x²+5x+8

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, are two stores selling merchandise given by equation,

A = 13x²+8x-3 and B = 8x²-3x+11, we need to find the total amount of merchandise that stores A and B sold.

We add both the equations to find the same,

Total merchandise sold = 13x²+8x-3 + 8x²-3x+11

= 21x²+5x+8

Hence, the total amount of merchandise that stores A and B sold is 21x²+5x+8

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The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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Answer:

yeah you're right! Its G

Step-by-step explanation:

Multiply 26 hours by 38 weeks and you get 988 hours!

The derivative is used to find the slope of the line tangent to the curve tan−1(x−2y²)=x²−3y tan−1(2)−1 tan−1(x−2y²)=x²−3y tan−1(2)−1.

What is a tangent line?

In geometry, a tangent line to a plane curve at a given point is a straight line that "just touches" the curve at that point and no closer. It is the same as the limit of secant lines when the two endpoints of the secant line get closer and closer to each other. Some sources refer to a tangent line as a tangent. In general, it is a line that intersects a curved surface at just one point, or the derivative of a function at a certain point.

What is a derivative?

The derivative is a number that expresses how quickly a function changes at a particular point. In general, the derivative of a function measures the slope of the line that best approximates the function at that point. The derivative is a useful concept in calculus, which deals with the study of rates of change and their applications.How to find the derivative of a function?In calculus, the derivative of a function is the slope of the tangent line to the function at a given point. To find the derivative of a function, we can use the following steps:Find the difference quotient by subtracting the value of the function at two points, divided by the difference between those points.Take the limit as the difference between those points approaches zero.The result is the derivative of the function at that point.

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Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

Answer:

24

Step-by-step explanation:

lol just do the math

Answer:

24

Step-by-step explanation:

12x24x2=24x24

Root(24x24)=24

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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The 500,00th number in the sequence = 98828

A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.

here n^th iteration n+3 element are listed and n element are skipped.

now before nth iteration total skipped natural number : 1+2+3+.........n-1

                                                                                           = n(n-1)/2

now after completion of nth iteration total listed natural number = 4+5+6+.....n+3

= ((n+3)(n+4)/2)-6

to find 50000th number total listed element must be greater than or equal to 50000.

((n+3)(n+4)/2)-6 ≥ 50000

(n+3)(n+4) ≥ 100012

n = 313

total skipped before 313th iteration

=( 313 * 312)/2

=  48828

total listed before 313th is 48828.

listed after 312th iteration

= ((315)(316))/2)-6

= 49764

total number remaining for 50000

= 50000 - 49764

= 236

total number passed.

skipped+ listed

= 48828 + 49764

= 98592

50000th element = 98592 + 236

                              = 98828

The 500,00th number in the sequence = 98828

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The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.

Stream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.

Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:

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Answer:

-1.4

Step-by-step explanation:

5x+7=0

5x=-7

x= -1.4

Answer:

1.4

Step-by-step explanation:

5x + 7

x +\(\frac{7}{5}\)

x = 1.4

(a) There is no extreme value of A subject to the given constraint,

(b) For x = 0, y + z² ≤ 16.

y is between -4 and 4. In this case, f(y,z) = y² and the maximum value is 16.

For x = ±y, z = 4 - y².

y is between -2 and 2. In this case, f(y,z) = 2y² - y⁴ and the maximum value is 2.

When dividing by a variable, one should always keep in mind that the variable cannot be equal to zero. In other words, if the value of the variable is zero, the function or expression will not be defined or will give an undefined result. The reason is that division by zero is not defined in the set of real numbers.

Therefore, one should exclude the value of zero from the domain of the function or expression.

In part (a) of the given question, we are asked to find the global maximum and minimum of A(x,y,z) = 12 + 3x + y² - 2y subject to the constraint x + y + z = 2.

Let's find the partial derivatives of A with respect to x, y, and z.

∂A/∂x = 3

∂A/∂y = 2y - 2 = 2(y - 1)

∂A/∂z = 0

Now, we have to solve the system of equations consisting of the partial derivatives and the constraint equation.

\(3 = \lambda_1 + \lambda_2,\\2y - 2 = \lambda_1 + \lambda_2,\\\lambda_1x + \lambda_2x = 0,\\\lambda_1y + \lambda_2y - 1 = 0,\\\lambda_1z + \lambda_2z = 1.\)

Substituting the values of the partial derivatives, we get:

\(\lambda_1 + \lambda_2 = 3,\\\lambda_1 + \lambda_2 = -2,\\\lambda_1(3) + \lambda_2(0) = 0,\\\lambda_1(y - 1) + \lambda_2(y - 1) = 0,\\\lambda_1(0) + \lambda_2(1) = 1.\)

The second and third equations are contradictory. So, under the given constraint, A has no extreme value.

In part (b), we are asked to find the global maximum and minimum of A(x,y,z) = x² + y² on the closed bounded domain x² + y + z² ≤ 16.

Let's use the method of Lagrange multipliers to solve the problem. We have to find the critical points of the function f(x,y,z) = x² + y² subject to the constraint x² + y + z² = 16.

We have to solve the system of equations consisting of the partial derivatives of f, the partial derivatives of the constraint function, and the equation of the constraint function.

2x = λ(2x),

2y = λ(1),

2z = λ(2z).

Substituting the value of λ from the second equation into the first equation, we get: x = 0 or x = ±y.

Substituting the values of x and λ from the first and second equations into the third equation, we get:

z = 4 - y² or z = 0.

Since the constraint is x² + y + z² ≤ 16, we have to consider the following cases:

Case 1: x = 0, y + z² ≤ 16.

So, y is between -4 and 4. The maximum value of f(y,z)=y² is 16 in this case.

Case 2: x = ±y, z = 4 - y².

So, y is between -2 and 2. The maximum value of f(y,z) = 2y² - y⁴ is 2 in this case.

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Kristin will pay 21.20 for the jeans after the discount and sales tax are applied.

The first step is to calculate the discount Kristin will receive:

Discount = 20% of 25 = 0.20 x 25 = 5

Now subtract the discount from the original price to find the sale price:

Sale price = 25 - 5 = 20

Next, calculate the amount of sales tax Kristin will have to pay on the sale price:

Sales tax = 6% of 20 = 0.06 x 20 = 1.20

Finally, add the sale price and sales tax to find the total cost:

Total cost = 20 + 1.20 = 21.20

Therefore, Kristin will pay 21.20 for the jeans after the discount and sales tax are applied.

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a+b cannot be simplified any further.

---

hope it helps

Answer:

a+b is at its simplest form

Answer:

x = 0.6

Step-by-step explanation:

6x + 11 = 21

subtract 11 from both sides

6x = 10

divide by 6 on both sides

x = 0.6

Answer:

x=3

Step-by-step explanation:

4−2x=−2

Step 1: Simplify both sides of the equation.

4−2x=−2

4+−2x=−2

−2x+4=−2

Step 2: Subtract 4 from both sides.

−2x+4−4=−2−4

−2x=−6

Step 3: Divide both sides by -2.

-2x/-2=-6/-2

X=3

Answer

x-19=27

Step-by-step explanation:

The probabilities are:

a) P(A or B) = 0.8

b) P(neither A nor B) = 0.2

c) P(A and not B) = 0.1

d) P(A | B) ≈ 0.571

e) P(A | not B) = 0.25.

a) To find the probability that either A or B will occur, we can use the formula P(A or B) = P(A) + P(B) - P(A and B). Substituting the given values, we have P(A or B) = 0.5 + 0.7 - 0.4 = 0.8.

b) To find the probability that neither A nor B will occur, we can use the complement rule. The complement of either A or B occurring is both A and B not occurring. So, P(neither A nor B) = 1 - P(A or B) = 1 - 0.8 = 0.2.

c) To find the probability that A will occur and B will not occur, we can use the formula P(A and not B) = P(A) - P(A and B). Substituting the given values, we have P(A and not B) = 0.5 - 0.4 = 0.1.

d) To find the probability that A will occur, given that B has occurred, we can use the conditional probability formula: P(A | B) = P(A and B) / P(B). Substituting the given values, we have P(A | B) = 0.4 / 0.7 ≈ 0.571.

e) To find the probability that A will occur, given that B has not occurred, we can use the conditional probability formula: P(A | not B) = P(A and not B) / P(not B). Since P(not B) = 1 - P(B), we have P(A | not B) = P(A and not B) / (1 - P(B)). Substituting the given values, we have P(A | not B) = 0.1 / (1 - 0.7) = 0.25.

Therefore, the probabilities are:

a) P(A or B) = 0.8

b) P(neither A nor B) = 0.2

c) P(A and not B) = 0.1

d) P(A | B) ≈ 0.571

e) P(A | not B) = 0.25.

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Using the concept of probability, the probability that the first experiment is successful is 70.97%

To calculate the probability that the first experiment is successful, we use the relation thus :

Inserting the values into the formula :

Therefore, the probability value is 70.97%

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If we were to measure a dependent variable's frequency, the appropriate method would be to count the number of times it occurred.

Frequency refers to the rate at which a behavior or event happens within a given timeframe. By counting the occurrences of the dependent variable, we can determine how often it happens or the number of times it is observed. The other options mentioned—timing the interval between responses, measuring the shape of the behavior, and timing how long it took to achieve—are not directly related to measuring frequency.

Timing the interval between responses would be more relevant for measuring the interresponse time or the duration between two consecutive instances of the behavior. Measuring the shape of the behavior would involve analyzing the pattern or characteristics of the behavior, such as its intensity or duration. Timing how long it took to achieve something would focus on the duration or latency of the behavior rather than its frequency.

Therefore, the correct approach for measuring frequency would be to count the number of occurrences of the dependent variable, providing an objective and quantitative assessment of how frequently the behavior or event takes place.

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Answer:

35/49 - 3/7 = 2/7

(Brainliest please!!!)

Answer:

it more than tripled

Step-by-step explanation:

I'm not sure if you need more but it requires me to type more to send the answer

Answer:

It more than tripled

Step-by-step explanation:

Right on Edge 2021

To find the surface integral of the given function over the specified surface, we'll use the surface integral formula in Cartesian coordinates:

∫∫_S (2y^2 + 2^2) dS

where S is the part of the sphere x² + y² + z² = a² that is above the xy-plane.

First, let's parameterize the surface S in terms of spherical coordinates:

x = ρsinφcosθ

y = ρsinφsinθ

z = ρcosφ

where 0 ≤ φ ≤ π/2 (since we're considering the upper hemisphere) and 0 ≤ θ ≤ 2π.

Now, we need to find the expression for the surface element dS in terms of ρ, φ, and θ. The surface element is given by:

dS = |(∂r/∂φ) × (∂r/∂θ)| dφdθ

where r = (x, y, z) = (ρsinφcosθ, ρsinφsinθ, ρcosφ).

Let's calculate the partial derivatives:

∂r/∂φ = (cosφsinφcosθ, cosφsinφsinθ, -ρsinφ)

∂r/∂θ = (-ρsinφsinθ, ρsinφcosθ, 0)

Now, let's find the cross product:

(∂r/∂φ) × (∂r/∂θ) = (cosφsinφcosθ, cosφsinφsinθ, -ρsinφ) × (-ρsinφsinθ, ρsinφcosθ, 0)

= (-ρ^2sin^2φcosθ, -ρ^2sin^2φsinθ, ρcosφsinφ)

Taking the magnitude of the cross product:

|(∂r/∂φ) × (∂r/∂θ)| = √[(-ρ^2sin^2φcosθ)^2 + (-ρ^2sin^2φsinθ)^2 + (ρcosφsinφ)^2]

= √[ρ^4sin^4φ(cos^2θ + sin^2θ) + ρ^2cos^2φsin^2φ]

= √[ρ^4sin^4φ + ρ^2cos^2φsin^2φ]

= √[ρ^2sin^2φ(sin^2φ + cos^2φ)]

= ρsinφ

Now, we can rewrite the surface integral using spherical coordinates:

∫∫_S (2y^2 + 2^2) dS = ∫∫_S (2(ρsinφsinθ)^2 + 2^2) ρsinφ dφdθ

= ∫[0 to π/2]∫[0 to 2π] (2ρ^2sin^2φsin^2θ + 4) ρsinφ dφdθ

Simplifying the integrand:

∫[0 to π/2]∫[0 to 2π] (2ρ^2sin^2φsin^2θ + 4) ρsinφ dφdθ

= ∫[0 to π/2]∫[0 to 2π] (2ρ^2sin^3φsin^2θ + 4ρsinφ) dφdθ

Now, we can evaluate the double integral to find the surface integral value. However, without a specific value for 'a' in the sphere equation x² + y² + z² = a², we cannot provide a numerical result. The calculation involves solving the integral expression for a given value of a.

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The spot exchange rate that should prevail three years from now, considering the expected inflation rates, is €1.00 - $1.2379.

To determine the spot exchange rate three years in the future, we need to account for the inflation rates in both the U.S. and the euro zone. Inflation erodes the purchasing power of a currency over time. Given that the U.S. is expected to have an inflation rate of 2 percent and the euro zone is expected to have an inflation rate of 3 percent, the euro is likely to depreciate relative to the U.S. dollar.

The inflation differential between the two regions implies that the euro will experience higher inflation compared to the U.S. dollar. As a result, the purchasing power of the euro will decline, leading to a decrease in its value relative to the U.S. dollar. Consequently, the spot exchange rate of €1.00 - $1.25 is expected to change in favor of the U.S. dollar.

To calculate the future spot exchange rate, we can multiply the current exchange rate by the ratio of the expected purchasing power parity (PPP) values of the two currencies after accounting for inflation. Considering the inflation rates, the future spot exchange rate is €1.00 - $1.2379, indicating a decrease in the value of the euro against the U.S. dollar.

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Answer:

Area of the parallelogram = 107,555 square feet

Step-by-step explanation:

Let

h = height of the parallelogram

sin (112°) = h/200 feet

h = sin(112°) × 200

h = 0.927184 × 200

= 185.4368 feet

h = 185.44 feet

Area of the parallelogram = base × height

= 580 feet × 185.44 feet

= 107,555.2 square feet

To the nearest square root = 107,555 square feet

Area of the parallelogram = 107,555 square feet

The required, to the nearest tenth of a year, it will take approximately 22.2 years for the account value to reach $44,700.

To find the time it takes for the account value to reach $44,700, we can use the formula for compound interest:
\(A=P(1+r/n)^{nt}\)

Where:

A is the future value of the account (in this case, $44,700).

P is the principal amount (initial amount), which is $7,700.

r is the annual interest rate (in decimal form), which is 8.25% or 0.0825.

n is the number of times interest is compounded per year (we assume it's compounded annually, so n = 1).

t is the time in years.

We need to solve for t, so let's rearrange the formula to isolate t:

\(t=\dfrac{log(A/P)}{nlog(1+r/n)}\\t=\dfrac{log(44700/7700)}{1log(1+0.0825/1/)}\\t=22.18\)

To the nearest tenth of a year, it will take approximately 22.2 years for the account value to reach $44,700.

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In order to leave an equal space between shelves, the distance between each shelf should be 9 feet 10 inches.

1. The floor-to-ceiling clearance is 9 feet 10 inches.

2. Each shelf is 10 inches thick.

3. To leave an equal space between shelves, the distance between each shelf should be the same as the floor-to-ceiling clearance, which is 9 feet 10 inches.

In order to ensure that there is an equal space between each of the shelves, the distance between each shelf should be 9 feet 10 inches. This is because the floor-to-ceiling clearance is 9 feet 10 inches, and the thickness of each shelf is 10 inches.

Therefore, in order to have an equal space between shelves, the total distance between each shelf should be 9 feet 10 inches. This is the best way to ensure that each shelf is equally spaced from the next.

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