PT = 3x +3 and TQ = 5x -5

Answer:

6/35

Step-by-step explanation:

change 2/5 to 14/35 so the denominators are even.

after that you get -8/35+14/35

then you get 6/35

Answer:

it says 15 points not 30

Step-by-step explanation:

Answer:

10.30

Step-by-step explanation:

Pythagorean Theorem is \(a^{2}\) + \(b^{2}\) = \(c^{2}\).  The short leg(a) is 5 units long and the long leg(b) is 9 units long.  CD is the hypotenuse, the longest side (c).

\(5^{2}\) +\(9^{2}\) =\(c^{2}\)

25+81=\(c^{2}\)

106=\(c^{2}\)

\(\sqrt{106}\) = \(\sqrt{c^{2} }\)

10.29563014 = c

Rounded to the nearest hundredth, 10.30

To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.  

Answer:

14 %  discount

Step-by-step explanation:

39.00 x .14 = 5.46

39.00 -5.46 = $33.54

The Speed of the train in Miles per hour will be 105 miles per hour.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.

The slope represents the speed of the train. Then we have

m = (157.5 - 131.25) / (1.50 - 1.25)

m = 26.25 / 0.25

m = 105 miles per hour

The Speed of the train in Miles per hour will be 105 miles per hour.

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To do this, you can determine how much each angle measures using the cosine law, which is a formula that relates the angles to the sides of any triangle.

For example, to first find the measure of angle A, you have

Similarly, you can find the angle B

To find the angle C you can use the following expression that indicates that the sum of the internal angles of a triangle is 180

Therefore, the order of the angles from largest to smallest is

Price Ceiling: A price ceiling is a government-imposed maximum price set below the equilibrium market price.

It is intended to protect consumers by keeping prices low and affordable for certain goods or services.

Price ceilings are often implemented during times of market shortages or to control inflation.

Price Floor: A price floor is a government-imposed minimum price set above the equilibrium market price.

It is intended to protect producers by ensuring they receive a certain level of income for their goods or services.

Price floors are often used in agricultural markets or to establish minimum wage laws.

Value-based Pricing vs. Cost-based Pricing: Both value-based pricing and cost-based pricing approaches have their advantages and disadvantages.

Value-based pricing focuses on determining the perceived value of a product or service to customers and pricing it accordingly.

This approach considers the benefits and value that customers derive from the product and sets the price based on what customers are willing to pay.

Value-based pricing allows for higher profit margins and takes into account customer preferences and willingness to pay.

Cost-based pricing, on the other hand, sets prices based on the production costs and desired profit margin.

It involves calculating the total cost of producing the product and adding a markup to determine the selling price.

Cost-based pricing is more straightforward and easier to implement, as it relies on the actual costs incurred in producing the product.

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Answer:

7.5 hours

Step-by-step explanation:

distance = rate * time (d=rt)

First we find her average rate, or speed:

Now we take that rate and use our second distance to find the time:

d = rt

t = d/r = 350 miles / 46.6666 miles/hour = 7.5 hours

Challenge To travel on vacation, a family wants to rent a car. Company A bills $70.50 plus 17 cents each mile. Charges from Company B are $30.50 plus 8 per mile. For every x miles that Company A charges, Company B is (39.24x)

Before figuring out their difference for x miles, we must first determine their difference for one mile.

Difference per mile = ($70.50 + $0.14) - ($30.50 + $0.90)

= $70.64 - $31.40

= $39.24

Difference for x miles = $39.24 × x miles

= $(39.24x)

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The function that is linear is the function that is a straight line

A linear function can be identified on a graph by its shape.

A linear function will always have a straight line.  So, if the graph of several functions, then the linear function would be a straight line.

To confirm that it is a linear function, you can check if it has the form y = mx + b, where m and b are constants.

In this form, m represents the slope of the line, which is a measure of how steep the line is.  and b is the y-intercept

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Answer:

-11

Step-by-step explanation:

yes I belive tell me if wrong

Each angle on a square road sign measures 90 degrees.

A square is a quadrilateral with four equal sides and four right angles. In a square, all angles are congruent, meaning they have the same measure. Since a square has four angles, each angle is equal to the total sum of the interior angles of a square divided by four.
The total sum of the interior angles of a square can be calculated using the formula (n - 2) * 180 degrees, where n is the number of sides. For a square, n = 4, so the total sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.
To find the measure of each angle, we divide the total sum of the interior angles by the number of angles, which is 4 in the case of a square:
360 degrees / 4 angles = 90 degrees.
Therefore, each angle on a square road sign measures 90 degrees.

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The electric monorail slows down by 124 ft between t = 1 and t = 5 seconds. To find the change in the rate of slowing down for the electric monorail transport between t = 1 and t = 5 seconds, we need to calculate the difference in its deceleration at these two points in time.

Given the deceleration formula: 2t + 25 ft/s², let's find the deceleration rates at t = 1 and t = 5:

Deceleration at t = 1:
2(1) + 25 = 2 + 25 = 27 ft/s²

Deceleration at t = 5:
2(5) + 25 = 10 + 25 = 35 ft/s²

Now, we will find the difference in deceleration between these two points in time:

Difference = Deceleration at t = 5 - Deceleration at t = 1
Difference = 35 ft/s² - 27 ft/s²
Difference = 8 ft/s²

The electric monorail slows down by 8 ft/s² between t = 1 and t = 5 seconds. However, this is not listed as one of your options. If you meant to ask how many feet it slows down in total between t = 1 and t = 5 seconds, we can calculate the integral of the deceleration formula:

∫(2t + 25)dt from t = 1 to t = 5

The integral of (2t + 25) is t² + 25t + C. Now, we can evaluate it:

(5² + 25*5) - (1² + 25*1) = (25 + 125) - (1 + 25) = 150 - 26 = 124 ft

So, the electric monorail slows down by 124 ft between t = 1 and t = 5 seconds. Your answer: 124 ft/sec.

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Answer:

When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!

Answer:

$2.40

Step-by-step explanation:

We know that the sales tax is 8% , we also know that we want to buy two t shirts that cost $15.00 each.

So first, look at what we are purchasing, two t-shirts costing 15.00 dollars each.

Since we are buying two, multiply $15 by 2,

==> $30.00 dollars

And since the sales tax is 8%, to find how much we will pay will mean to multiply the amount by the percent,

30 * 8%

==> $2.40 dollars

You will pay $2.40 dollars in tax

Answer:

Step-by-step explanation:

The worth of the card =$75

The value of the card decreases after each music purchase forming a sequence:

75,74.11,73.22,72.33...

Now,

We see that the sequence forms an arithmetic sequence:

Where the first term, a is 75

Common difference, d=-0.89

We want to write an equation to define A(n), the amount of money on the gift card after n song purchases.

For an arithmetic sequence,the nth term A(n)=a+(n-1)d

Therefore:

The amount of money on the gift card after n song purchases.

A(n)=75-0.89(n-1)

A(n)=75+0.89-0.89n

A(n)=75.89-0.89n

To find out how many songs can Josh purchase with this card only, we take our nth term A(n) of the sequence to be 0 and solve for n.

A(n)=75.89-0.89n

0=75.89-0.89n

0.89n=75.89

Divide both sides by 0.89

n=85.3

n=85

Therefore, Josh can purchase 85 songs with this card only

Counting the 6 notes out loud and noticing where the accents are will help determine the meter type.

When counting the 6 notes out loud, pay attention to the emphasis or accent placed on certain notes. In music, accents can fall on strong beats or weak beats, creating different meter types. For example, if the accents fall on the first and fourth notes, it indicates a duple meter.

This means that the music is organized into groups of two beats. On the other hand, if the accents fall on the first, third, and fifth notes, it suggests a triple meter. This means that the music is organized into groups of three beats. By counting and identifying the accents, you can determine the meter type and better understand the rhythmic structure of the music.

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B = {(1/sqrt(6)) * [1, -1, 2], (1/sqrt(3)) * [-1/3, 4/3, 2/3]}

This is an orthonormal basis for the column space of matrix A.

To find an orthonormal basis for the column space of matrix A, we need to perform the following steps:

Start by finding the column space of A. The column space is the span of the columns of A.

Use the Gram-Schmidt process to orthogonalize the columns of A. This process involves subtracting the projections of the columns onto the previously orthogonalized columns.

Normalize the resulting orthogonal vectors to obtain an orthonormal basis.

Applying these steps to matrix A, we have the following columns:

C1 = [1, -1, 2]

C2 = [-1, 1, 0]

C3 = [1, 5, 1]

Using the Gram-Schmidt process, we start with C1 as the first vector in our orthogonal basis:

V1 = C1 = [1, -1, 2]

Next, we orthogonalize C2 by subtracting its projection onto V1:

V2 = C2 - ((C2 · V1) / (V1 · V1)) * V1

Calculating the dot products and projections, we have:

(C2 · V1) = (-1 * 1) + (1 * -1) + (0 * 2) = -2

(V1 · V1) = (1 * 1) + (-1 * -1) + (2 * 2) = 6

Substituting these values, we get:

V2 = [-1, 1, 0] - ((-2) / 6) * [1, -1, 2]

= [-1, 1, 0] + (1/3) * [1, -1, 2]

= [-1/3, 4/3, 2/3]

Finally, we normalize V1 and V2 to obtain an orthonormal basis for the column space of A:

B = {V1/||V1||, V2/||V2||}

Calculating the norms, we have:

||V1|| = sqrt(1^2 + (-1)^2 + 2^2) = sqrt(6)

||V2|| = sqrt((-1/3)^2 + (4/3)^2 + (2/3)^2) = sqrt(3)

Substituting these values, we get:

B = {(1/sqrt(6)) * [1, -1, 2], (1/sqrt(3)) * [-1/3, 4/3, 2/3]}

This is an orthonormal basis for the column space of matrix A.

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Answer:

QR = 1.3

Step-by-step explanation:

Sides TQ and TS are congruent, thus Δ QST is isosceles.

RT is a perpendicular bisector, that is it bisects QS at right angles, thus

QR = RS = 1.3

The measure of length of QR is 1.3 units.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.

In isosceles triangle TQS, TR is the perpendicular bisector.

Then QR=RS= 1.3 units

Therefore, the measure of length of QR is 1.3 units.

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Answer:

a

Step-by-step explanation:

because

A ball is thrown vertically upward with an initial velocity of 48 feet per second from a height of 8 ft off the ground.

When a ball is thrown vertically upward with an initial velocity of 48 feet per second and starts from a height of 8 feet off the ground, it reaches a maximum height before falling back down.

The ball's upward motion slows down due to the gravitational pull until it comes to a stop at its maximum height.

At this point, the ball begins to descend, accelerating downward due to gravity. The maximum height the ball reaches can be determined using kinematic equations.

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Answer:

the slope is b: -1/2

rise/run is an easy way to do it. Count the number of x-units between points and the number of y-units. in this case its 6 x-units and 3 y-units. y is rise and x is run, so it'll be 3/6 or 1/2 and it's negative because it's decreasing left to right.

Answer:

x = 2

because we have the same question and i got it right its hard to explain but trust me its x = 2

The solution to the given equation is 2. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is x/6 = 4/12.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, x/6 = 4/12

By cross multiplication, we get

12x=24

⇒ x=2

The solution to the given equation is 2. Therefore, option B is the correct answer.

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Answer:

39

Step-by-step explanation:

So there are 9 values. (1 to be added). First we add them all up. And we need to add another value. So the mean is all of the values added up, divided by the number of numbers. If we add another value, then there'll be 10 values. 24x10 is, of course, 240. If you add all of the given values, you get 201. And we can easily create the equation, x+201=240, and x, or the missing value, is obviously 39.

Answer: First, we can simplify 1/6 and 3/6 by finding a common denominator of 12:

1/6 = 2/12

3/6 = 6/12

Now we have:

2/12 + 6/12 + 1/12

Combining the numerators, we get:

9/12

Simplifying this fraction by dividing the numerator and denominator by their greatest common factor of 3, we get:

3/4

Therefore, the answer is C. 9/12.

Answer:

Yes

Step-by-step explanation:

If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where a and b are the legs and c is the hypotenuse.

The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.

a=16

b=63

c=65

\(16^2+63^2=65^2\)

Evaluate each exponent.

16^2=16*16=256

\(256+63^3=65^2\)

63^2=63*63=3969

\(256+3969=65^2\)

65^2=65*65=4225

\(256+3969= 4225\)

Add 256 and 3969

\(4225=4225\)

The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.

Answer:

answer below

Step-by-step explanation:

3/5=60%

1/50=2%

9/10=90%

9/5=180%

18/60=30%

To find the probability of a company having both a website and a section in the newspaper, we can use the formula for conditional probability.

Let's denote the events as follows:
A: A company has a section in the newspaper
B: A company has a website

We are given the following probabilities:
P(A) = 0.43 (Probability of a company having a section in the newspaper)
P(B|A) = 0.84 (Probability of a company having a website given that it has a section in the newspaper)

The probability of both events A and B occurring can be calculated as:
P(A and B) = P(A) * P(B|A)

Substituting in the values we have:
P(A and B) = 0.43 * 0.84
P(A and B) = 0.3612

Therefore, the probability of a company having both a website and a section in the newspaper is 0.3612 or 36.12%.

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Answer:

2.449

Step-by-step explanation:

the square root of 6 is about 2.449

Answer:

See below:

Explanation:

1.7 dm =  .17 m     assuming  dm is decimeter

.17m  * 10^7  scale  = 1.7 x 10^6 m  = 1.7 x 10^3 km  = 1700 km