Solve for x square root{2x^2+1}=a if a>1

Answer: To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x.

The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own.

Type ^ for exponents like x^2 for "x squared". Here is an example:

Step-by-step explanation:

don't know if this will help but I hope s

Answer:

sorry,dont know......

You manage a clothing store and budget $6000 to restock 200 shirts. You can buy t-shirts for $12 each, polo shirts for $24 each, and rugby shirts for $36 each. Therefore,  the store should buy 20 t-shirts, 60 polo shirts, and 120 rugby shirts.

The three equations that represent the given situation are as follows: x + y + z = 200 … (1)

12x + 24y + 36z = 6000 … (2)

z = 2y ..... (3)

Where x, y, and z are the numbers of t-shirts, polo shirts, and rugby shirts, respectively. Equation (1) represents the total number of shirts that the store wants to restock, Equation (2) represents the total cost of restocking all three types of shirts, and Equation (3) represents the desired ratio of rugby shirts to polo shirts.

Using Equation (3), we can substitute z = 2y in Equation (1) to get:x + y + 2y = 200 ⇒ x + 3y = 200 … (4)

Similarly, using Equation (3), we can substitute z = 2y in Equation (2) to get:

12x + 24y + 36(2y) = 6000

⇒ 12x + 96y = 6000 …… (5)

We can solve Equations (4) and (5) simultaneously to get the values of x and y as follows:

x + 3y = 200 …… (4)

12x + 96y = 6000 ……… (5)

Multiplying Equation (4) by 4 and subtracting it from Equation (5), we get:

12x + 96y − 4x − 12y = 6000 − 800

⇒ 8x + 84y = 5200

⇒ 2x + 21y = 1300 …… (6)

Multiplying Equation (4) by 2 and subtracting it from Equation (6), we get:

2x + 21y − 2x − 6y = 1300 − 400

⇒ 15y = 900

⇒ y = 60

Substituting y = 60 in Equation (4), we get:x + 3y = 200 ⇒ x + 3(60) = 200⇒ x = 20

Finally, substituting x = 20 and y = 60 in Equation (3), we get:z = 2y = 2(60) = 120

Therefore, the store should buy 20 t-shirts, 60 polo shirts, and 120 rugby shirts.

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Answer:

The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and 72.

Answer:

8, 16, 24, 32, 40, 48, 56, 64, 72

Step-by-step explanation:

8, 16, 24, 32, 40, 48, 56, 64, 72

When 1.25 x 10²³ molecules of HCl react with barium according to the given equation, approximately 21.58 grams of barium chloride are produced.

To solve this problem, we need to start with the balanced chemical equation that describes the reaction between hydrochloric acid and barium. The balanced equation for this reaction is:

2HCl + Ba -> BaCl₂ + H₂

From the balanced equation, we can see that for every 2 molecules of hydrochloric acid, 1 molecule of barium chloride is produced. Therefore, the mole ratio between HCl and BaCl₂ is 2:1.

To find the number of moles of hydrochloric acid, we divide the given number of molecules by Avogadro's number (6.022 x 10²³ molecules/mol):

Number of moles of HCl = (1.25 x 10^23 molecules) / (6.022 x 10²³ molecules/mol)

≈ 0.2074 moles of HCl

Since the mole ratio between HCl and BaCl₂ is 2:1, the number of moles of barium chloride produced will be half of the moles of hydrochloric acid:

Number of moles of BaCl₂ = 0.2074 moles of HCl / 2

≈ 0.1037 moles of BaCl₂

To determine the mass of barium chloride produced, we need to use the molar mass of BaCl₂. The molar mass of BaCl₂ is calculated by summing the atomic masses of one barium atom (Ba) and two chlorine atoms (Cl):

Molar mass of BaCl₂ = (atomic mass of Ba) + 2 × (atomic mass of Cl)

= 137.33 g/mol + 2 × (35.45 g/mol)

≈ 208.23 g/mol

Finally, we can calculate the mass of barium chloride produced by multiplying the number of moles of BaCl₂ by its molar mass:

Mass of BaCl₂ = Number of moles of BaCl₂ × Molar mass of BaCl₂

= 0.1037 moles × 208.23 g/mol

≈ 21.58 grams

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Answer:60 and 80

Step-by-step explanation:

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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4x4=16 16x3=48 so I think the answer is 48

Answer:

4.4 mm

Step-by-step explanation:

Answer:

Step-by-step explanation:

let original price be x

x=45/(1-25/100)= 45/(1-0.25)=45/.75=60

x=60

Answer:

25 percent off 45.00 is 33.75. The difference is 11.25. Hope that helps :)

Step-by-step explanation:

Pairwise comparison voting, also known as Condorcet voting, satisfies both majority rule and pairwise victory (the Condorcet criterion).

1. Pairwise comparison: In pairwise comparison voting, each candidate is compared to every other candidate in a head-to-head contest. Voters rank the candidates in order of preference, and the outcomes of these individual contests are used to determine the overall winner.

2. Majority rule: Majority rule is satisfied in pairwise comparison voting because, in each head-to-head contest, the candidate who receives more than 50% of the votes is considered the winner. This ensures that the candidate with the majority of votes in each comparison is acknowledged as the preferred choice.

3. Pairwise victory (Condorcet criterion): The Condorcet criterion states that if there is a candidate who can beat every other candidate in a one-on-one contest, that candidate should be the overall winner. Pairwise comparison voting satisfies the Condorcet criterion because it directly compares each candidate against all others, ensuring that any candidate who consistently wins these head-to-head contests is recognized as the overall winner.

In conclusion, pairwise comparison voting (Condorcet voting) satisfies both majority rule and pairwise victory (the Condorcet criterion) by comparing candidates in head-to-head contests, ensuring that the candidate with the majority of votes in each contest is acknowledged as the preferred choice, and recognizing any candidate who consistently wins these head-to-head contests as the overall winner.

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The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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On solving the provided question, we got to know that 91/4 feet is the vertical distance that ball traveled.

What is equation?

An equation in algebra is a formula that proves two other formulas are equivalent. For instance, the equation 3x + 5 = 14 is produced when the two equations 3x + 5 and 14 are combined with an equal sign. Mathematical equations in algebra frequently have one or more variables.

If the balls land in a straight line:

dropped = 13 ft

rebounds 3/4 (13) ft  = 39/4 ft

vertical travel = 13 + 39/4 = 91/4 ft

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Answer:

it moves down

Step-by-step explanation:

for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.

NOTE: if the graph added to 6 it will move up 6 units.

Answer

well first u put it as 2/2 which is 2 then you have to times it by 69 which is 138 then divide that by 6.5 which is 21

Step-by-step explanation:

actual answer is 4 if you were serious about this

Answer: 4

Step-by-step explanation:

Use your hands:

2 on one hand

2 on the other hand

Put them together which is 4

Answer: 13.56 kg

Step-by-step explanation:

We can make two equations:

1) A = B + 2.5

2) C = B - 4.86

Replace C with 6.2.

(6.2) = B - 4.86 can be rewritten as 6.2 + 4.86 = B.

B = 11.06

Add 2.5 to 11.06 and you get 13.56 kg.

120% of 65 is 78.

This means that 120 times what equals 78.

120*65=78

Answer:

65

Step-by-step explanation:

Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.

Answer:

93%

Step-by-step explanation:

Answer:

x = 8cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

- x² = 225 - 289

x² = 64

x = √64

x = 8

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x = 8 cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

x² = 225 - 289

x² = 64

x = √64

x = 8

Teorema pythagoras

The expression 3y^2 + 2 - 8y is equivalent to 4(3/4y-2+1/2y). To find expressions that are equivalent to 4(3/4y-2+1/2y), we can use the distributive property of multiplication over addition/subtraction. This means that we can multiply the 4 to each term inside the parentheses.

4(3/4y-2+1/2y) = (4*3/4y) - (4*2) + (4*1/2y)

Simplifying each term, we get:

= 3y - 8 + 2y

= 5y - 8

Therefore, the expression 5y - 8 is equivalent to 4(3/4y-2+1/2y).

Another way to approach this problem is to first simplify the expression inside the parentheses before multiplying by 4. We can do this by finding a common denominator for 3/4y and 1/2y, which is 4.

3/4y can be rewritten as 3y/4 and 1/2y can be rewritten as 2/4y.

Now, we can add the fractions with the same denominator:

3y/4 - 2 + 2/4y

Simplifying further, we get:

= 3y/4 + 2/4y - 2

= (3y^2 + 2 - 8y)/4y

Multiplying by 4, we get:

= (3y^2 + 2 - 8y)

Therefore, the expression 3y^2 + 2 - 8y is equivalent to 4(3/4y-2+1/2y).

In summary, there are two expressions that are equivalent to 4(3/4y-2+1/2y): 5y - 8 and 3y^2 + 2 - 8y.

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The expression 3y^2 + 2 - 8y is equivalent to 4(3/4y-2+1/2y). To find expressions that are equivalent to 4(3/4y-2+1/2y), we can use the distributive property of multiplication over addition/subtraction. This means that we can multiply the 4 to each term inside the parentheses.

4(3/4y-2+1/2y) = (4*3/4y) - (4*2) + (4*1/2y)

Simplifying each term, we get:

= 3y - 8 + 2y

= 5y - 8

Therefore, the expression 5y - 8 is equivalent to 4(3/4y-2+1/2y).

Another way to approach this problem is to first simplify the expression inside the parentheses before multiplying by 4. We can do this by finding a common denominator for 3/4y and 1/2y, which is 4.

3/4y can be rewritten as 3y/4 and 1/2y can be rewritten as 2/4y.

Now, we can add the fractions with the same denominator:

3y/4 - 2 + 2/4y

Simplifying further, we get:

= 3y/4 + 2/4y - 2

= (3y^2 + 2 - 8y)/4y

Multiplying by 4, we get:

= (3y^2 + 2 - 8y)

Therefore, the expression 3y^2 + 2 - 8y is equivalent to 4(3/4y-2+1/2y).

In summary, there are two expressions that are equivalent to 4(3/4y-2+1/2y): 5y - 8 and 3y^2 + 2 - 8y.

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Answer:

87

Step-by-step explanation:

Answer:

im in calvert 2 but its d

Step-by-step explanation:

The decay rate of f is approximately 4.0822% per unit of x.

To change \(f(x) = 40(0.96)^x\) to an exponential function with base e, we can use the fact that:

\(e^{ln(a)} = a\), where a is a positive real number.

First, we can rewrite 0.96 as\(e^{ln(0.96)}\):

\(f(x) = 40(e^{ln(0.96)})^x\)

Then, we can use the property of exponents to simplify this expression:

\(f(x) = 40e^{(x*ln(0.96))}\)

This is an exponential function with base e.

To approximate the decay rate of f, we can look at the exponent x*ln(0.96).

The coefficient of x represents the rate of decay. In this case, the coefficient is ln(0.96).

Using a calculator, we can approximate ln(0.96) as -0.040822. This means that the decay rate of f is approximately 4.0822% per unit of x.

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Answer:

x =  ± 19

Step-by-step explanation:

x² = 361

x = ±√361

x =  ± 19

Answer:

50%

Step-by-step explanation:

(38 / 76) x 100 = 50%.

If you buy an item at $76 with $38 discounts, you will pay $38 and get 50% discount cashback rewards.

The linear function is 8.50x + 5.50 and a $5.50 delivery fee would be included in the price of each hoodie purchased.

Part 1

The linear function rule is used in cases with only one shipping charge.

= 8.50x + 5.50, where x is the number of sweatshirts and y is the total cost in dollars.

Part 2

The linear function rule would be y = 8.50x + 5.50x = 14x, where y is the total cost in dollars and x is the number of sweatshirts if the shipping fee is applied to each sweatshirt. This implies that the $5.50 delivery fee would be included in the price of each hoodie purchased.

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Answer:

276.3 sq ft

Step-by-step explanation:

\(2 \times \pi {4}^{2} + 2 \times 4 \times \pi \times 7 = 276.3\)

Answer:

y = -x + 2

Step-by-step explanation:

The desired equation must have the form y = mx + b.

Start with -2Y - 2X = -6 and solve for y:              y + x = 2

Now solve this result for y:  

y = -x + 2