If f(x) = 6x + 2, which of the following values would complete the table shown?

Answer:

A. 189 - 9 = 35v

Step-by-step explanation:

It is the only answer where the price is on one side and price per unit is on the other with the variable.

The correct equation to find the number of video games purchased is A: 186-9 = 35v.

A set of guidelines known as the Order of Operations is used to specify the order in which mathematical operations are carried out in an expression. The following is the order: brackets or brackets, roots or exponents. Division or multiplication (done from left to right)

Doing either addition or subtraction from left to right

It is crucial to follow the Order of Operations since it guarantees that everyone will arrive at the same conclusion when solving a given mathematical problem. Without the order, it might be unclear which action should be taken first, which could provide conflicting results. A fundamental idea in mathematics, the Order of Operations is applied to practically all mathematical problems.

Given that, video game costs $35 with $9 shipping fee.

Thus, the for v number of vide games we have:

186 = 35v + 9

Rearranging the equation we have:

186-9 = 35v

Hence, the correct equation to find the number of video games purchased is A: 186-9 = 35v.

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Answer:

they are equal

Step-by-step explanation:

1/3 to a decimal is 0.333

3/9 is 0.333

so they are the same the person above me is wrong

Answer: 4 hours

Step-by-step explanation: 15-5=10 10/2.50 =4

Answer:

4 hours

Step-by-step explanation:

$15 is our initial value, and we have a flat fee of $5

15-5=10

We have a remaining $10 left to be divided by the $2.50 per hour

10÷2.50=4

4 tells us the number of hours

Answer:

Option 1

Step-by-step explanation:

Functions cannot have two points with the same x-value or in this case, value on the left side. This means it must be the first option. This is because of how in the second option, each shape on the right matches with a different shape on the left. In option three, each number on the left matches to a different number on the right. This is the same with option four.

Answer: I believe 25 yards.

Step-by-step explanation: Hope it helps! Have a great day!!!

Answer:

15/28 simplified to 5/8 (credit to other answer.)

Step-by-step explanation:

Multiply the top numbers 3*5 which equals 15 and then multiply the bottom numbers 4 and 7 for 28. Put 15 over 28.

Answer: yes

Step-by-step explanation:

Step-by-step YESSS!!!

explanation:

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer:

≈ 36.5 cm²

Step-by-step explanation:

Given the perimeters in ratio a : b , then

ratio of areas = a² : b²

Here ratio of perimeter = 20 : 28 = 5 : 7 , thus

ratio of areas = 5² : 7² = 25 : 49

let x be the area of larger , then using proportion

\(\frac{25}{18.6}\) = \(\frac{49}{x}\) ( cross- multiply )

25x = 911.4 ( divide both sides by 25 )

x ≈ 36.5 cm² ( to the nearest tenth )

Answer:

\(4\frac{3}{4}\)

4.75

Step-by-step explanation:

0.25 + 0.25 + 0.5 + 0.25 + 0.5 + 0.125 + 0.125 + 0.5 + 1 + 1 + 0.25

0.125 + 0.125 = 0.25

0.25 + 0.25 + 0.25 + 0.25 = 1

0.5 + 0.5 + 0.5 = 1.5

1 + 1 = 2

0.25 + 1 + 1.5 + 2

4.75

Answer:

The answer is 4 3/4

           Hope this helps! good luck :)

Answer:

D. If I do not listen to this song, then it will not get stuck in my head.

Step-by-step explanation:

Answer:

"If I don't listen to this song, then it won't get stuck in my head."

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

3/4(8x+16)

24/4 x + 18/4

= 6x + 9/2

The transformations that preserve congruence in a triangle are:

A reflection of the triangle across a line of reflection (e.g., x-axis, y-axis, a given line) and a rigid motion (combination of translation, rotation, and reflection) are required.

Based on the information, the other transformations mentioned, (x, y) → (-x, ax) and (x, y) → (3x, 3y), are not rigid motions and do not preserve the shape of the triangle. The transformation (x, y) → (x +7, y-8) is a translation, which is a rigid motion, but it does not preserve congruence since it changes the size and orientation of the triangle.

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Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Answer:

7.8

Step-by-step explanation:

25x=per hour of labor

16= parts

211 total price

25x+16=211

25x-16=211

25x=211

        -16

25x=195

\(\frac{25x}{25} =\frac{195}{25}\)

x=7.8

Answer:

approximately 3.16 repeated

Step-by-step explanation:

Given parameters:

Average fuel consumption of Penelope's car = 3miles per gallon

Amount of fuel used = 9.5 gallons

Unknown:

Distance of her drive = ?

Solution:

  Since her rate of fuel consumption per miles is known, we can simply solve for the distance she covers.

  Distance covered = Rate of fuel consumption per miles x amount of fuel used

Distance covered  = 3  x 9.5  = 28.5miles

The distance covered by Penelope's car is 28.5miles

Answer:

8 . 76209992276

Step-by-step explanation:

does this help

Answer:

a=9

Step-by-step explanation:

39+24=63

63/7=9=a

The matrix can be solved by a calculator too.

Answer:

A is 7

Step-by-step explanation:

They want to know what value of a makes the determinant 39. Reverse the operations; to find determinants you take the main diagonal and subtract the minor diagonal from it. So, add 24 (6*4) to 39 = 63 then divide by 7 and your answer is 9.

Conditional probability is the probability of an event occurring given that some other event has already occurred.

What is Conditional Probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

The probability of a TV set being defective can be expressed in terms of conditional probability as follows:

The probability that a TV set assembled on line A is defective is 3%. This can be written as P(defective | line A) = 0.03.

The probability that a TV set assembled on line B is defective is 3.5%. This can be written as P(defective | line B) = 0.035.

Conditional probability is the probability of an event occurring given that some other event has already occurred. In this case, the probability of a TV set being defective is given in terms of the probability of it being defective given that it was assembled on either line A or line B.

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Answer:

C)  I, III, IV, II

Step-by-step explanation:

Convert each number into a decimal:

\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)

\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)

\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)

\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)

Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.

The next biggest tenth is 5, so 58% is the next largest number.

The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number.  Therefore, 0.58% is the smallest number.

Therefore, the given set of numbers in order from greatest to least is:

Answer:

c) I, III, IV, II

Step-by-step explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Answer:

20

Step-by-step explanation:

The theoretical probability of drawing 2 red marbles from the bag with replacement is one-fifth, which means that the probability of drawing 2 red marbles in any one trial is 1/5 or 0.2.

The number of times Jonah is expected to select 2 red marbles in 100 trials can be predicted using the expected value formula:

Expected value = (Number of trials) x (Probability of success in one trial)

Expected value = 100 x 0.2

Expected value = 20

Therefore, a reasonable prediction of the number of times Jonah will select 2 red marbles in 100 trials is 20. Therefore, the answer is 20.

Answer: 20 i took the test

Step-by-step explanation:

The ratios of the corresponding sides of the triangle A to triangle B is 2: 1

Triangle A and B are similar triangles

Triangle is a geometric shape with three sides and three edges. Number of vertices are three . Sum of the interior angles is 180 degrees

The similar triangle means the shape of the triangle will be same but the size of the triangle will vary by a scale factor

Longest side of the triangle A = 30

Longest side of the trinagle B = 15

The ratio of side of triangle A and B = 30 : 15

= 2 : 1

Similarly ratios of the other sides will be

22 : 11 = 2 : 1

14 : 7 = 2 : 1

Therefore, the ratio of the sides will be 2 : 1

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The given question is incomplete, the complete question is :

Triangles A and B are similar triangles. Find the ration of the corresponding sides of triangle A to triangle B. The ration of the corresponding sides of triangles A to B is___

Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

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Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!