Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?
A.c(x) = 5.50 + 20.50x
B.c(x) = 5.50x + 20.50
C.c(x) = 5.50 + 21.60x
D.c(x) = 5.50x + 21.60

Answer:

It takes 6 hours for both to reach an equal paid.

Step-by-step explanation:

You have to form an expressions in terms of x where x determine the number of hours :

Option 1,

$(30 + 9x)

Option 2,

$(14x)

Next, you have to compare it since they want to find out how many hours they work until they reach the same amount :

30 + 9x = 14x

30 = 14x - 9x

30 = 5x

5x = 30

x = 30÷5

x = 6

Answer:

Step-by-step explanation:

y = 25x +100

y- is the total money spent on the phone

x-is the number of months you had service

the relationship between x and y is proportional ( if x grows, y grows)

For example: after 2 months you would had payed $100 for the phone + the $25 each of the 2 months. y= 25*2 +100 = $150

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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Answer:

0 radians or 2π radians

Step-by-step explanation:

arccos(sine (StartFraction pi Over 2 EndFraction)) is expressed as;

cos^(-1) (sin π/2)

Now, (sin π/2) in radians is same as (sin 180/2) = sin 90 in degrees.

Thus;

(sin π/2) = 1

Thus;

cos^(-1) 1 = 0

It could also be 360° in the fourth quadrant since cosine is positive there too.

Thus,

cos^(-1) (sin π/2) = 0° or 360°

In radians, this gives; 0 radians or 2π radians

0 radians or 2π radians  is the value of arccos(sine (StartFraction pi Over 2 EndFraction)).

Here, we have,

given that,

The term is: arccos (sine (StartFraction pi Over 2 EndFraction)

so, we get,

arccos(sine (StartFraction pi Over 2 EndFraction)) is expressed as;

cos^(-1) (sin π/2)

Now, (sin π/2) in radians is same as (sin 180/2) = sin 90 in degrees.

Thus;

(sin π/2) = 1

Thus;

cos^(-1) 1 = 0

It could also be 360° in the fourth quadrant since cosine is positive there too.

Thus,

cos^(-1) (sin π/2) = 0° or 360°

In radians, this gives; 0 radians or 2π radians.

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Answer: Go to this link https://brainly.com/question/21323536

Step-by-step explanation:

Answer:

the answer is b

(a) A partition of Z that consists of 2 sets. In the set of integers Z, the following are examples of partitions that consist of two sets:{0, 2, 4, 6, ...} and {1, 3, 5, 7, ...}. (b) A partition of R that consists of infinitely many sets. In R, an example of a partition that consists of infinitely many sets is the following: For each integer n, the set {(n, n + 1)} is a member of the partition.

(a) This partition of Z into even and odd integers is one of the most well-known and frequently used partitions of the set of integers. This partition is also frequently used in number theory and combinatorics, and it is frequently used in the classification of mathematical objects.

(b) That is, the partition consists of the sets {(0, 1)}, {(1, 2)}, {(2, 3)}, {(3, 4)}, and so on. Each set in the partition consists of a pair of consecutive integers, and every real number is included in exactly one set. This partition has infinitely many sets, each of which contains exactly two real numbers.

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Answer: Then the angles of the image must be 3 times the size of the corresponding angles in the original triangle.

Answer:

Answer in Explanation

Step-by-step explanation:

His reasoning is wrong. We can evaluate the validity of his reasoning by looking at the basics of what a polynomial is.

In the real sense of it, what makes a polynomial a polynomial is the power to which the variable is raised and not the integer attached to the variable.

In this case, we do not even have an integer attached.

What makes a polynomial a polynomial is that the variable is raised to an exponent or power which is a positive whole number ( integer)

In this case, while x^2 is a polynomial, x^-2 is not and also x^1/2 is not

Only x^2 is qualified as a polynomial because it is the only expression having its powers in positive integers

Hence; 0.5x^2 is a polynomial since it is raised to a positive whole number (integer)

Polynomials combine variables, constants and exponents.

Han's claim is incorrect

The product is given as:

\(\mathbf{10x^4 \times 0.5x^3 = 5x^7}\)

From the question, we understand that:

Han says \(\mathbf{0.5x^3 }\) is not a polynomial.

This is wrong because the exponent of \(\mathbf{0.5x^3 }\) is a whole number.

And as such, \(\mathbf{0.5x^3 }\) is a valid polynomial

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Answer:

A)

Step-by-step explanation:

Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

Answer:

the length is 12 meters

Step-by-step explanation:

96 divided by 8 = 12

floor gang aooh sub to pewdiepie

Answer:

y = 4/5 x - 2

Step-by-step explanation:

Find for slope first:

m = (y2 - y1) / (x2 - x1)

= [(-6) - 2] / [(-5) - 2]

= -8/-10

= 4/5

Solve for b. Use (5, 2)

y = mx + b

2 = 4/5 (5) + b

2 = 20/5 + b

2 = 4 + b

2 - 4 = b

-2 = b

Substitute the value of m and b.

y = mx + b

y = 4/5 x + (-2)

y = 4/5 x - 2

The basis of the subspace S in V4 over Z2 consists of the vectors: (1 1 0 0), (0 1 1 0), (1 0 1 1). The dimension of the subspace S is 3.

To determine a basis for the subspace S, we need to find a set of vectors that are linearly independent and span the subspace. The given vectors in the subspace S are: (0 0 0 0), (1 1 0 0), (1 0 1 0), (0 0 0 1), (0 1 1 0), (1 1 0 1), (1 0 1 1), (0 1 1 1).

We can observe that the first vector (0 0 0 0) is the zero vector, which is not useful for spanning the subspace. However, the other seven vectors are linearly independent and span the subspace S. By removing the redundant vectors and keeping only the linearly independent ones, we obtain the basis for S: (1 1 0 0), (0 1 1 0), (1 0 1 1).

The dimension of a subspace is defined as the number of vectors in its basis. In this case, the basis for S consists of three vectors, so the dimension of S is 3.

Therefore, the basis of the subspace S is {(1 1 0 0), (0 1 1 0), (1 0 1 1)}, and the dimension of S is 3.

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Answer:

f(x) = \(-\frac{1}{4}\) x - 2

Step-by-step explanation:

Slope of the line: m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

y - \(y_{1}\) = m( x - \(x_{1}\) )

f(x) = mx + b (b - is y-intercept)

(0, - 2) Coordinates of y-intercept

(4, - 3)

m = \(\frac{-3+2}{4-0}\) = \(-\frac{1}{4}\)

f(x) = \(-\frac{1}{4}\) x - 2

The height of the Eiffel Tower is approximately 290 meters. Michael and Layla are standing 21.2 meters apart, and from their respective positions, The height of the Eiffel Tower is approximately 290 meters.

To explain further, let's consider the triangle formed by the base of the Eiffel Tower, Michael's position, and the top of the tower. In this triangle, the angle of elevation from Michael's position is 40°, and the opposite side is the height of the tower. Similarly, in the triangle formed by the base of the tower, Layla's position, and the top of the tower, the angle of elevation from Layla's position is 38.5°, and the opposite side is also the height of the tower.

Using trigonometric ratios, we can set up the following equations:

For Michael's triangle:

tan(40°) = height of the tower / 21.2

For Layla's triangle:

tan(38.5°) = height of the tower / 21.2

By solving these equations, we find that the height of the Eiffel Tower is approximately 290 meters.

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By using the concept of Compound interest, Number of payment periods in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = 12

What is Compound interest?

The interest earned on savings that is calculated using both the initial principal and the interest accrued over time is known as compound interest. It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a sum more quickly than simple interest, which is only calculated on the principal sum. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

This problem can be solved by using the concept of compound interest

Number of  payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = \(6 \times 2 = 12\)

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Answer:

200 US DOLLARS

Step-by-step explanation:

Given; $1=R17

To find: How much is Zar3400 in US DOLLARS

$1=R17

R3400=3400/17 US DOLLARS

=200 US DOLLARS

Hope my answer is right thank you.

Answer:

1:2

4:1

1:5

5:7

I can't really give a step by step but just find the distance for the numerator and denominator and simplify

Answer:

60

Step-by-step explanation:

1/3 of 60 is 20

in other words

20 x 3 = 60

Answer:

2/3

Step-by-step explanation:

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

Answer of a)(0.01 * 2t)/(\((1+t^{2})^{2}\))  

b) e^((0.02 + 0.01/(1+\(t^2\))) * t) - 1

c)2 * [(1 + (0.02 + 0.01/\((1+(0.5t)^2)))^(2t) - 1]\) by susbstituting

(a) Instantaneous Interest Rate Curve:

The instantaneous interest rate is the derivative of the continuously compounded zero rate with respect to time. Taking the derivative of r_c(0,t), we get:

r_i(0,t) = d(r_c(0,t))/dt = (0.01 * 2t)/(\((1+t^{2})^{2}\))

(b) Annually Compounded Zero Rate Curve:

To compute the annually compounded zero rate, we use the relationship between continuously compounded rates and annually compounded rates. The annually compounded zero rate, denoted as r_a(0,t), can be calculated as:

r_a(0,t) = e^(r_c(0,t) * t) - 1

Substituting the expression for r_c(0,t) into the equation above, we have:

r_a(0,t) = e^((0.02 + 0.01/(1+\(t^2\))) * t) - 1

(c) Semiannually Compounded Zero Rate Curve:

Similar to the annually compounded zero rate, the semiannually compounded zero rate, denoted as r_s(0,t), can be calculated using the relationship:

r_s(0,t) = 2 * [(1 + r_c\((0,0.5t))^(2t)\) - 1]

Substituting the expression for r_c(0,t) into the equation above, we have:

r_s(0,t) = 2 * [(1 + (0.02 + 0.01/\((1+(0.5t)^2)))^(2t) - 1]\)

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Answer: 92

Step-by-step explanation:

Here's our set-up:

(70 + 75 + 80 + 83 + x) / 5 = 80

Simplify:

(308 + x) / 5 = 80

Multiply both sides by 5:

308 + x = 400

Subtract 308 from both sides:

x = 92

Answer:

92

Step-by-step explanation:

In order to get an 80 in 5 tests, he needs to accumulate 400 points.

If he accumulated 80+70+75+83 points, 308, he would need a 92 on the next test to get an 80 average.

Answer:

The measurement of angle B is 135°

The measurement of angle A is 60°

The measurement of angle C is 75°

Step-by-step explanation:

Angle A is the same value of 60, Angle B is pretty much just 180 - 45, and so is angle C.

Answer: 260120.3 m to the third power

Step-by-step explanation:

The volume of the given sphere with a radius of 39.6 m is 259,988.38 cubic meters.

What information do we have?

Radius = 39.6 meter

Volume of sphere = (4/3)πr³

Volume of sphere = (4/3)(3.14)(39.6)³

Volume of sphere = (4/3)(3.14)(62099.136)

Volume of sphere = 259,988.38 cubic meter

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Answer:

0.5 hours

$130 = 1h

$90 = 30m/1h

Answer:

open circle

Step-by-step explanation:

the open circle does not include the number. this is what you want because the solution is not equal to the number