whats is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equatio? −6x^2+36x= −714

The capacity of fish tank in quarts is 246.

Therefore the answer is 246.

A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.

There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.

The capacity of the fish tank in pints is 492.

Therefore, the capacity of the fish tank in quarts is

= 492 pints / 2 pints per quart

= 246 quarts

So, the capacity of the tank in quarts is 246 quarts.

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Answer:

12 miles

Step-by-step explanation:

he is walking at four miles per hour

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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The domain and range of the graph are D: {x | -∞ < x < ∞} and R: {y | 4 ≤ y < ∞}. The given curve in the graph is a parabola.

The domain and range of a graph are the x-coordinates that cover the graph and y-coordinates that covers the graph respectively. I.e.,

Domain = {x-values of the graph}

Range = {y-values of the graph}

The given graph shows a parabola.

The x-values that the curve covers are from -∞ to ∞  and the y-values that the curve covers are from y = 4 to y = ∞.

So, the domain of the given graph is written in the set notation form as

D: {x | -∞ < x < ∞}

The range of the graph is written as

R: {y | 4 ≤ y < ∞}

So, option C is correct.

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The correct answer is: option D. Bus 18, with a median of 12.

To determine which bus typically has the faster travel time, we need to compare the measures of center of the two sets of data. The measure of center that we use depends on the shape of the data. In this case, since the data is not symmetric, we should use the median as the measure of center.

Looking at the line plots, we can see that the median travel time for Bus 14 is approximately 14 minutes (the value with four dots above it), while the median travel time for Bus 18 is approximately 12 minutes (the value with two dots above it).

Since the median is less affected by extreme values than the mean, it is a more appropriate measure of center for this data. Therefore, we can conclude that Bus 18 typically has the faster travel time, with a median of 12 minutes, compared to Bus 14's median of 14 minutes.

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Answer:

i - 6d/0.5

that's all i remember ive done this before but my memory is wack, im sorry

parallel has the same slope which is -1

perpendicular has the negative reciprocal which is +1

Step-by-step explanation:

Introduction

Until World War II, a serious spinal cord injury (SCI) usually meant certain death. Anyone who survived such injury relied on a wheelchair for mobility in a world with few accommodations and faced an ongoing struggle to survive secondary complications such as breathing problems, blood clots, kidney failure, and pressure sores. By the middle of the twentieth century, new antibiotics and novel approaches to preventing and treating bed sores and urinary tract infections revolutionized care after spinal cord injury. This greatly expanded life expectancy and required new strategies to maintain the health of people living with chronic paralysis. New standards of care for treating spinal cord injuries were established: reposition the spine, fix the bones in place to prevent further damage, and rehabilitate disabilities with exercise.

Today, improved emergency care for people with spinal cord injuries, antibiotics to treat infections, and aggressive rehabilitation can minimize damage to the nervous system and restore function to varying degrees. Advances in research are giving doctors and people living with SCI hope that spinal cord injuries will eventually be repairable. With new surgical techniques and developments in spinal nerve regeneration, cell replacement, neuroprotection, and neurorehabilitation, the future for spinal cord injury survivors looks brighter than ever.

Answer:

B=Cd,A

C=DA,B

D=Ab,c

Step-by-step explanation:

(A,b)

(7,8)

=-1

To calculate the mass of the wire c with density (x, y) = xy, where c: r(t) = 4t i + 3t j with 0 ≤ t ≤ 2, we need to integrate the product of the density function and the magnitude of the velocity vector along the curve.

The wire c is represented by the parametric equation r(t) = 4t i + 3t j, where i and j are the unit vectors in the x and y directions, respectively, and t is the parameter.

To calculate the mass of the wire, we need to integrate the product of the density function (x, y) = xy and the magnitude of the velocity vector |r'(t)| along the curve.

The velocity vector r'(t) is obtained by differentiating r(t) with respect to t. In this case, r'(t) = 4i + 3j.

The magnitude of the velocity vector |r'(t)| is given by √(4^2 + 3^2) = √25 = 5.

The integral for calculating the mass is given by:

M = ∫[0,2] (density function) * |r'(t)| dt

  = ∫[0,2] xy * 5 dt

  = 5 ∫[0,2] xy dt.

To evaluate this integral, we need additional information about the density function, such as its relationship to the position vector r(t). Without knowing the specific form of the density function, we cannot determine the exact value of the mass of the wire.

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Answer:

to answer this question i need to know what kind of guess it was or what area or essay or book or whatever it is, this question makes no sense

Step-by-step explanation:

(I can't show the angle symbol thing so I'll just say the name)

We have : QPS = TPR
And we have to prove : QPR = TPS

QPR + RPS = QPS
TPS + RPS = TPR

Since QPS = TPR, QRP + RPS = TPS + RPS

Minus both side by RPS :     QRP = TPS

The substitution that has been applied to B(x, y) is dt B(x, y) = √(1+t) (1+t)x+y tx-1.

The substitution that has been applied to B(x, y) is t = tan² 0

The substitution for x and y using the trigonometric identities is given by,

x = sin² 0 / cos² 0 = tan² 0   …(1)

y = sin² 0   …(2)

Differentiating both sides of equation (1) with respect to θ, we get

dx / dθ = 2tan 0 sec² 0

Putting the values of x and y in B(x, y), we get

B(x, y) = I 25 (sin 0)² (sin² 0 / cos² 0)-1 (cos 0)² (sin² 0)-1 dθ

= I 25 (sin 0)² / cos² 0 * cos² 0 / sin² 0 dθ

= I 25 tan² 0 dθ

= 25

∫ t dt √1+t

Now, we need to find the value of dt B(x, y) in terms of t.

To find dt B(x, y), we use the chain rule of differentiation and get

dt B(x, y) = ∂B/∂x dx/dt + ∂B/∂y dy/dt

= 25(2 sin 0 cos 0 sin² 0 / cos³ 0) * 2 sin 0 cos 0 sin 0 cos 0 dθ

= 100 (sin 0)³ (cos 0)³ / cos⁴ 0 dθ

= 100 (sin 0)³ / cos 0 dθ

Now, putting the values of x, y, and t, we get

dt B(x, y) = 100 sin³ 0 / cos 0 dθ

= 100 sin³ θ / cos θ dθ

Using the identity 1+t = sec² 0 or cos² 0 = 1 / (1+t), we can rewrite the above integral as

∫ 100 sin³ θ / cos θ dθ

= ∫ (1+t) (1+t)½ dt

Substituting the limits, we get

∫ 100 sin³ θ / cos θ dθ

= ∫ √(1+t) (1+t)x+y tx-1 dt

Answer: dt B(x, y) = √(1+t) (1+t)x+y tx-1.

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Answer:

The common denominater for this is 15

Step-by-step explanation:

Answer:

1738

Step-by-step explanation:

Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.

Two or more expressions with an Equal sign is called as Equation.

Melissa had $20 to purchase candy for a party.

She purchased 3.6 pounds of candy that cost $2.50 per pound

Melissa spent 3.6 x $2.50

= 9 on candy.

Subtracting this amount from her initial $20, we get:

$20 - $9 = $11

Therefore, Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.

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Answer:

x=1 at f(x)=0

Step-by-step explanation:

When graphing the function, always try to remember that f(x) is almost the same as saying 'y'. Then find the point that corresponds on the graph where y=0, which is x=1.

The minimum sample size need for the given condition is 14

What is Confidence Level in Statistics?

The proportion of likelihood, or certainty, that the confidence interval will include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

Solution:

The minimum sample sixe required when,

Confidence Level = 99%

Variance = 50%

Generally going through the table

Minimum sample size is

X = 14

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The answer depends on the specific row and the number of students who like both dodgeball and ping pong in that row.

To find the relative frequency by row of students who like both dodgeball and ping pong, we need to look at the row where both of these activities are listed. Let's assume that this row is labeled "Dodgeball and Ping Pong."

We then need to divide the number of students who like both activities by the total number of students in that row. This will give us the relative frequency.

If we assume that there are 100 students in this row, and 22 of them like both dodgeball and ping pong, then the relative frequency would be:

0.22

If the row had 50 students and 20 of them liked both activities, then the relative frequency would be:

0.40

If the row had 75 students and 36 of them liked both activities, then the relative frequency would be:

0.48

If the row had 80 students and 47 of them liked both activities, then the relative frequency would be:

0.59

So, the answer depends on the specific row and the number of students who like both dodgeball and ping pong in that row.

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Answer:

A

Step-by-step explanation:

Answer:

How to find the values ​​to put in a table of values ​​according to the problem?

Step-by-step explanation:

The formula for the nth term of the sequence is: a_n = (2n + 4) / (2^(n-1))

To generate a formula for the nth term of the sequence, let's examine the pattern in the provided terms:

Term 1: 6/1

Term 2: 8/2

Term 3: 10/6

From the provided terms, we can observe that the numerator of each term is increasing by 2, and the denominator is increasing by a factor of 2 for each term.

We can express the numerator of the nth term as 6 + (n - 1) * 2, which simplifies to 6 + 2n - 2 = 2n + 4.

For the denominator, we can express it as 1 * 2^(n-1), which simplifies to 2^(n-1).

Therefore, the formula is:

a_n = (2n + 4) / (2^(n-1))

This formula will give you the value of the nth term based on the value of n.

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Answer:

Please sketch the figure to confirm my answer.

sin(24°) = 30/x

x sin(24°) = 30

x = 30/sin(24°) = 73.76 inches

Answer:

Sales= $90

Expenditures= $90

Step-by-step explanation:

The members of a cooking club are making cakes.

The cakes will be sold at a street fair price of $9 for each cake.

It cost $50 for a booth at the fair.

The ingredients for each cake cost $4

Let y represent the number of cakes that was sold

Since the price of each cake is $9 then,

Sales = $9y

Since the booth cost $50 and ingredients cost $4 then,

Expenditures = $50 + $4y

Sales = Expenditures

9y= 50 + 4y

Collect the like terms

9y-4y= 50

5y= 50

Divide both sides by the coefficient of y which is 5

5y/5= 50/5

y= 10

Sales= 9×10

= $90

Expenditures= $50 + 4(10)

= $50+$40

= $90

Hence the sales is $90 and the expenditures is $90

There are 8,640 ways the five people can be seated in the eight empty seats.

To determine the number of ways the five people can be seated in eight empty seats, we can use the concept of permutations.

Since the order in which the people are seated matters, we need to calculate the number of permutations of five people taken from eight seats.

The formula for permutations is given by:

P(n, r) = n! / (n - r)!

where n represents the total number of items and r represents the number of items taken at a time.

In this case, we have 8 empty seats (n) and want to seat 5 people (r). Therefore, we can calculate the number of ways as:

P(8, 5) = 8! / (8 - 5)!

= 8! / 3!

= (8 * 7 * 6 * 5 * 4 * 3!) / 3!

= 8 * 7 * 6 * 5 * 4

= 8,640

Hence, there are 8,640 ways the five people can be seated in the eight empty seats.

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The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

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Answer:

$125.21

Step-by-step explanation:

Answer: 10 cm

Step-by-step explanation:

Given, length=8cm

breadth=6 cm

Pythagoras theorem states that sum of square of base and square of perpendicular height is equal to square of hypotnyse.

Thus, we can write:

Considering, base=length=8cm

Perpendicular=breadth=6cm

Therefore, length of diagonal =√(length∧2+breadth∧2)

                                                 =√(8∧2+6∧2) cm

                                                = 10 cm

Therefore the length of diagonal = 10cm.

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Answer: 750

Step-by-step explanation:

3000/4= 750

750

The sentence "If it is a dog (d), it has fleas (f)" can be represented in symbolic form as d → f.

In symbolic logic, we represent the components of a sentence using letters or symbols. In this case, the given sentence has two components: "it is a dog" and "it has fleas." To represent these components, we assign the letter 'd' to "it is a dog" and the letter 'f' to "it has fleas."

The sentence "If it is a dog, it has fleas" implies a conditional relationship between the two components. It states that if something is a dog (d), then it has fleas (f). This can be symbolically represented as d → f, where the arrow (→) denotes the conditional relationship.

The given sentence, "If it is a dog (d), it has fleas (f)," can be represented in symbolic form as d → f. The arrow (→) in symbolic logic represents the conditional relationship. It indicates that if something is a dog (d), then it has fleas (f). In this symbolic representation, 'd' stands for "it is a dog," and 'f' represents "it has fleas."

The sentence is a conditional statement because it presents a hypothetical relationship between the two components. The truth value of the sentence depends on whether the antecedent (d) is true or false. If something is indeed a dog, then it implies that it has fleas. However, if it is not a dog, the statement does not make any specific claim about fleas.

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Answer:

The answer 168.75 without rounding and rounding its also 168.75