$428 for 4 concert tickets.

The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

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Answer:

$3.24

Step-by-step explanation:

Cost for the coffee + Cost for the bagel

$1.39 + $1.85

$3.24

Answer:

she earn 4 per hour

Step-by-step explanation:

12 divide by 3 equal 4

20 divide by 5 equal 4

Answer:

\(1)2 {x}^{2} +9−35\)

\(2)28 {x}^{2} −25+3\)

\(3) {x}^{2} −36\)

\(4)4 {b}^{2} −16\)

\(5)9 {m}^{2} − {n}^{2} \)

Answer:

B

Step-by-step explanation:

5•x=5x

5• (-5)=-25

5x-25 and 5(x-5) are equivalent

Answer:

awnsrer is b 5(x-5) and 5x - 25

Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

\((3-2)^2+(7+5)(3-2)=(3-2)(3-2)+(7+5)(3-2)=(3-2)(3-2+7+5)=1*13=13\)

The total out-of-pocket expense for one month is $677. The correct option is D.

The first step is to calculate the amount of the prescription costs that will be covered by the insurance plan.

Since the family will fill 6 prescriptions per month and the total cost is $850, the average cost per prescription is $850/6 = $141.67 per prescription.

The insurance plan covers 90% of the first $450 in prescription costs, which is $450 * 0.9 = $405.

The remaining $141.67 - $405 = -$263.33 of the first prescription is not covered, since it is below the $450 threshold. This means that the family will have to pay the full cost of the first prescription, and the insurance will not contribute anything to it.

For the remaining 5 prescriptions, the insurance will cover 80% of the cost, since they are over the $450 threshold. The remaining 20% will be the family's responsibility.

The cost of the remaining 5 prescriptions is $141.67 x 5 = $708.35.

The insurance will cover 80% of this amount, which is $708.35 x 0.8 = $566.68.

The family will be responsible for the remaining 20% of the cost, which is $708.35 x 0.2 = $141.67.

Adding up all the costs, the total out-of-pocket expense for one month is:

$405 (first prescription) + $141.67 (20% of remaining prescription costs) + $48 (monthly premium) = $594.67

Therefore, the correct answer is option D: $677.

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The solution of the system is then given by:

x = t[1 -1 1 0.5 0.5 0.33] + s[0 -2 1 1 -2 1]

This is the general solution of the system in the form of a sum of scalar multiples of fixed column vectors.

The system of linear equations can be written in matrix form as:

[1 0 1 2 1 3 | 1]

[2 1 2 4 0 10| 5]

[3 1 3 6 6 15| 8]

where the augmented matrix is [A | B].

To solve the system using the method of specifying appropriate free variables, we first convert the coefficient matrix into reduced row echelon form using Gaussian elimination.

In reduced row echelon form, the first non-zero element of each row (known as the leading entry) is 1, and the leading entries of lower rows are to the right of the leading entries of higher rows.

Applying Gaussian elimination to the coefficient matrix, we get:

[1 0 1 2 1 3 | 1]

[0 1 0 2 -2 7| 0]

[0 0 0 0 0 0| 0]

We can see that there are two non-zero rows, indicating that the system has two independent equations.

We can choose two of the variables to be free variables, and express the other variables in terms of the free ones.

Let's choose x1 and x3 as the free variables.

We can find x2 as follows:

x2 = -x1 - 2x3 + 7

And we can find x4, x5 and x6 as follows:

x4 = (1 - x1 - x3)/2

x5 = 1 - x1 - 2x3 + 2x4

x6 = (1 - x1 - x3 - 2x4)/3

So the general solution of the system can be expressed as a sum of scalar multiples of fixed column vectors:

x1 = t

x2 = -t - 2s + 7

x3 = s

x4 = (1 - t - s)/2

x5 = 1 - t - 2s + (1 - t - s)/2

x6 = (1 - t - s)/3

where t and s are scalars.

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Given the function

We want to evaluate this function at x = 2.

When we evaluate a function at a given value, we just need to substitute the terms with a variable by the given value.

Dr. Grumman will pay $8143.08 to Social Security .

Given : In the year 2016 , the government took out 6.2% of a person's income for Social Security, until a person made $118,500 and in that year  Dr. Grumman earned $131,340 .

To find : how much Dr. Grumman paid to Social Security

Calculation :

The amount he paid will be 6.2 % of what he earned ie. 6.2 % of 131,340

Hence , ( 6.2 / 100 ) * 131,340 = 8143.08 .

Therefore , Dr. Grumman will pay $8143.08 to Social Security .

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Given : In the year 2016 , the government took out 6.2% of a person's income for Social Security, until a person made $118,500 and in that year  Dr. Grumman earned $131,340 .

To find : how much Dr. Grumman paid to Social Security

Calculation :

The amount he paid will be 6.2 % of what he earned ie. 6.2 % of 131,340

Hence , ( 6.2 / 100 ) * 131,340 = 8143.08 .

Therefore , Dr. Grumman will pay $8143.08 to Social Security .

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Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

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The value of \(f\) is \(0\), by using the concept of slope of a line.

The equation to find the slope of a line is given by:

\(\(\text{slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}}\)\)

Given that the slope is -8 and the points (-7, f) and (-6, -8) lie on the line, we can substitute the coordinates into the equation:

\(\(-8 = \frac{{-8 - f}}{{-6 - (-7)}}\)\)

Simplifying the equation:

\(\(-8 = \frac{{-8 - f}}{{1}}\)\)

Multiply both sides by 1:

\(\(-8 = -8 - f\)\)

Rearranging the equation:

\(\(-8 + 8 = -f\)\(0 = -f\)\)

The concept used in this problem is finding the slope of a line using two given points. The slope represents the rate of change of the line, indicating how much the line rises or falls for each unit of horizontal distance.

By substituting the coordinates of the two given points (-7, f) and (-6, -8) into the formula, we can calculate the slope.

Thus, the value of \(f\) is \(0\).

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Answer:

Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.

Answer:

Step-by-step explanation:

Given that:

To Find:

We know that:

Where,

Finding the volume:

⟶ Volume = 22/7 × (7)² × 8

⟶ Volume = (22 × 7 × 7 × 8)/7

⟶ Volume = 8624/7

⟶ Volume = 1232

Hence,

Answer:

The answers are given below.

Step-by-step explanation:

The computation is shown below:

1.a.

Profit Margin = Net Income ÷ Sales × 100

= $374 ÷ $6,900 ×100

= 5.4%

1-b:

Average Assets = (Beginning Assets + Ending Assets) ÷ 2

= ($3,200 + $3,600)  ÷ 2

= $3,400

Now  

Return on Assets = Net Income ÷ Average Assets

= $374 ÷ $3,400

= 11%

1-c

Average Equity = ($700 + $700 + $320 + $270) ÷ 2

= $995

Now  

Return on Equity = Net Income ÷  Average Equity *100

= $374 ÷ $995

= 37.59%

2:

Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings

= $270 + $374 - $320

= $324

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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Options C and D are subsets of R³, which are {(-5x,4x,3x)| x arbitary} and {(x,y,z)| x+y+x=0}

A) Correct. We have to check whether the potential subspace containing the zero vector is a great place to start on these sorts of problems. No zero vector so this is not a subspace.

B) This is a subspace. The set of solutions of a homogeneous linear system is always a subspace it is known as a "null space" of some corresponding linear transformation.

Let, \(M=\left[\begin{array}{ccc}2&9&0\\8&0&-5\\\end{array}\right]\)  then the set in B) is just Null(M). Again, Nullspaces are always subspaces.

Alternatively, you could solve the corresponding system Mx=0 and find the elements of that set  \(x=\left[\begin{array}{c}5/8&-5/36&1\\\\\end{array}\right]\)  for any choice of z∈R. So this

can be a set in the span of   \(x=\left[\begin{array}{c}5/8&-5/36&1\\\\\end{array}\right]\)

C) Correct. we can see a subspace because the elements are just multiples of (−5,3,4) and again spans are subspaces.

D) Correct. This can be a  subspace for the same reasons as part B.

E) Correct. Not a subspace. An easier counter-example: (1,1,1) is in there. But (−1)(1,1,1)=(−1,−1,−1) is not.

F) Not a subspace. (0,0,0)  is not in there.

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The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

18 cookies

Step-by-step explanation:

3/4 = 75%

75% = 0.75

Multiply this by 24 = 18 cookies

Probabilities are used to determine the chances of events

The area of region X is:

\(A = \pi r^2\)

So, we have:

\(X = 3.14 * 4^2\)

\(X = 50.24\)

The area of the dart is:

\(A = Length * Width\)

\(A = 24 * 24\)

\(A = 576\)

The probability of landing in region X is then calculated as:

\(P(X) = 50.24/576\)

\(P(X) = 0.087\)

The area of region Y is:

\(A = \pi R^2 - \pi r^2\)

So, we have:

\(Y = 3.14 * 6^2 -3.14 *4^2\)

\(Y = 62.8\)

The probability of landing in region Y is then calculated as:

\(P(Y) =62.8/576\)

\(P(Y) =0.109\)

The area of region Z is:

\(A = \pi R^2 - \pi r^2\)

So, we have:

\(Z = 3.14 * 8^2 -3.14 *6^2\)

\(Z = 87.92\)

The probability of landing in region Z is then calculated as:

\(P(Z) = 87.92/576\)

\(P(Z) = 0.153\)

Hence, the probability of landing in region Z is 0.153

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Answer:

1/4

Step-by-step explanation:

there are 2 blue sections out of a total of 8, so 2/8 or 1/4

Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

the amount that results from the given investment $500 invested at 12% compounded quarterly after a period of 3 years is:  $711.66. This can be solved using the concept of compound interest.

When calculating compound interest, the starting principle amount is multiplied by one together with the yearly interest rate raised to the number of compound periods minus one. The resultant value is then reduced by the whole initial loan amount. When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest. Compound interest accelerates the growth of your money since it calculates interest on both your original principle and the interest that has accrued over time. The initial investments and the revenue generated by those investments increase simultaneously as a result of compounding, which can have a snowball effect.

Principal amount (P) = $500

interest rate (r) = 12%

time (t) = 3 years

period (n) = 3

Final amount = A

As we know, A = P ( 1 + r/n) ^{nt}

or, A = 500 (1 + 0.12 / 3)^{3*3}

or, A = $711.66

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Answer:

>

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

Assign variables. The numbers acan be 2x, 3x and 4x. Then, LCM of 2x, 3x and 4x is 12x

12x = 240

(240/12) = x = 20

The HCF of 2x, 3x, and 4x is 20. (Because x is the highest common factor.)

Answer:

$34.70

Explanation:

$3.47 x 10 = 34.7

Hope this helps  ^-^

-Isa