Question 11 of 25
Which of the following functions is graphed below?

After one week, Reggie has 195 trade cards. He buys 16 more trade cards every week. he have 371 trading cards after 12th week.

According to the question, given that

After one week, Reggie has 195 trade cards. He buys 16 more trade cards every week.

he have trading cards in the 12th week = 195 + 16 * (12 - 1)

                                                                    = 195 + 16 * 11

                                                                     = 195 + 176

                                                                      = 371

Therefore, we get after solve  371 trading cards after 12th week.

Mathematicians refer to equations with a degree of 1 as linear equations. The largest exponent of terms in these equations is 1, which equals. These can also be broken down into linear equations with one variable, two variables, three variables, etc. A linear equation with the variables X and Y has the conventional form a X + b Y - c = 0, where a and b are the corresponding coefficients of X and Y and c is the constant.

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Reggie has 195 trade cards after a week. Each week, he purchases 16 additional trading cards. After the 12th week, he had 371 trading cards.

In response to the query, assuming that

Reggie has 195 trade cards after a week. Each week, he purchases 16 additional trading cards.

he have trading cards in the 12th week = 195 + 16 * (12 - 1)

                                                                   = 195 + 16 * 11

                                                                    = 195 + 176

                                                                     = 371

As a result, by the end of the 12th week, we have solved 371 trade cards.

Equations with a degree of 1 are referred to be linear equations by mathematicians. In these equations, the term with the biggest exponent is equal, or 1. These can also be reduced to linear equations involving one, two, three, etc. variables. The standard form of a linear equation with the variables X and Y is a X + b Y - c = 0, where a and b are the corresponding coefficients of X and Y, and c is the constant.

If a metal sculpture has a volume of 1250 cm³ and a mass of 9.2 kg, the density of the metal sculpture is 7360 kg/m³.

We can calculate its density using the formula:

Density = Mass / Volume

In this case:

Mass = 9.2 kg

Volume = 1250 cm³

First, let's convert the volume from cm³ to m³:

1250 cm³ = 1250 × 10⁻⁶ m³

Now we can calculate the density:

Density = 9.2 kg / (1250 × 10⁻⁶ m³)

Density = 9.2 kg / 0.00125 m³

Density = 7360 kg/m³

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The situation in which the quantities combine to make 0 is "On Monday, Huang withdraws $30 from a bank account. On Friday, she deposits $30 into the account".

For two quantities two make 0, it is necessary to add two numbers with the same value but different sign (positive or negative). Here is an example:

For example if you buy 10 apples but use 10 apples to make a pie.

Based on this, the correct situation is "On Monday, Huang withdraws $30 from a bank account..." as -30 + 30 = 0.

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Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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Answer:

The missing measurement is 124

Step-by-step explanation:

Answer:

124 in

Step-by-step explanation:

Perimeter Rectangle = 2(length + width)

856 = 2(304 + width)

856 = 608 + 2width

248 = 2width

124 = width

856 = 2(304+124)

856 = 2(428)

856 = 856

Correct

Answer:

2-

Step-by-step explanation:

\(x = 10 \\ 3(10) + 5y = 20 \\ 30 + 5y = 20 \\ 5y = - 10 \\ y = - 2\)

If we look at the tree diagram, we can see that we have 12 numbers, they are:

{12, 13, 16, 21, 23, 26, 31, 32, 36, 61, 62, 63}

That's our sample space, if we look at each tree we can count how many numbers has 1 or 6, on the first tree we have 2 numbers: 21 and 26. On the second tree we have three numbers: 12, 13 and 16, that's expected because the first digit is 1. For the second tree we have just two, 31 and 36. For the last tree we have three again because of the digit 6.

Therefore the probability will be how many numbers that has 1 or 6 divided by the sample space, then

The probability is

Answer:

\( Slope (m) = -\frac{3}{4} \)

Step-by-step explanation:

Using any two pairs from the table of values given, (-2, 5) and (2, 2):

\( Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} \)

Where,

\( (-2, 5) = (x_1, y_1) \)

\( (2, 2) = (x_2, y_2) \)

Plug in the value into the slope formula:

\( Slope (m) = \frac{2 - 5}{2 -(-2)} \)

\( Slope (m) = -\frac{3}{4} \)

Option B: “The Tribute” contains the passage from "Cruel Tribute" that best illustrates a related mythological aspect.

"The Tribute" is the section of "Cruel Tribute" that best exhibits a related mythological aspect. It is adapted from American author Suzanne Collins' contemporary book "The Hunger Games." This book's central premise is a lottery game in which children are picked at random and sent to engage in lethal combat.

The Greek myth of "Theseus and the Minotaur" served as inspiration for the mythological aspect of "The Tribute." In this tale, King Minos of Crete demands that Athens provide the sacrifice of 14 youths—7 girls and 7 boys—to the Minotaur as retribution for the murder of his son. Theseus sacrifices himself and slays the beast.

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Complete question is:

The contemporary novel The Hunger Games features a lottery where children are selected to fight to the death in combat. The section of “Cruel Tribute” that best features a similar mythological element is:

“The Treaty.”

“The Tribute.”

“The Princess.”

“The Labyrinth.”

Answer:

---------------------------

Use the identity for the square of a sum:

Comparing with the given we see that:

Then find b:

To complete the square we need to add b² = (-3)² = 9 to both sides:

Answer:

26% tip

Step-by-step explanation:

213.90 / 1.15 = 186

213.90 + 20 = 233.9

233.9 / 186 = 1.26

26% tip

Answer:

Angle AOB= 180 degrees

Angle ZOB = 63 degrees

Angle XOY= 65 degrees

Angle AOY= 84 degrees

Angle YOZ= 33 degrees

Step-by-step explanation:

Angle AOB =180 degrees because angles on a straight line =180

Angle AOY= 84 because AOY = a+b = 19+65

Angle YOZ= 180-19-65-63= 33 because angles on a straight line =180

Answer:

x=2

Step-by-step explanation:

Alright for this type of problem the line CE is proportional to line FG meaning that the length of line CE is two times the length of EG. What we want to do is set up an equation that will help us solve for x. The equation would be

18-4x=6x-7 but because line CE is two time greater than line FG we have to multiply the side of EG by 2 so the new equation is

18-4x=12x-14 Now we can began to solve

step 1 : subtract 18 to each side

-4x=12x-32

step 2; subtract 12 from each side

-16x=-32

step 3: divide each side by -16

x=2

I Hope this Helps you out a little (:

The values of a and b are 33% and 42.7% respectively.

Given:

The number of students that like blue uniform is only as 32,

The number of students that like gold uniform is only as 25,

The number of students that like blue and gold uniforms is 12

The number of students that like neither blue nor gold uniform as 6.

Then, the total number of students interviewed are 75 students.

The relative frequency of the students who like blue is 25, therefore,

25/75= 1/3= 0.33

= 33%

The relative frequency of the students that like blue but not gold is 32, therefore,

32/75= 0.427

=42.7%

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The painting is a square, which means all its sides are equal.

If x is the length of one side, then, all the remaining 3 sides also have the same length: x.

The area of a square is the square if its side, then, for a square with sides x:

We know that the area of the painting will be 400 square inches, then:

a. The equation that can be set up to find the length of a side is:

b. We can solve the equation by finding a number that multiplied by itself gives 400. For this case, we have two solutions. 20 and -20, since:

And:

-20 is also a solution because as a negative number, when multiplied by itself, gives a positive one. (A product between negative numbers gives always a positive number).

c. We have two solutions, however, only one of them makes sense: the 20. A negative length makes no sense, so we can discard the second solution (-20).

d. The length of the wood trim needed to go around the painting is then 20 inches. (we should not forget the units.)

Answer:

x = 7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x+15=36

    -15  -15

      3x=21

        x=7

Answer:

There are 10 fourths.

Step-by-step explanation:

There are four 1/4ths in 1. So 2.5 x 4 = 10.

Answer:

2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)

Step-by step solution

Answer:

x= 6 degrees

Step-by-step explanation:

x+x+54 = 90

2x+54 = 90

x= 90- 54 /2

x =6

Answer:

x = 6

Step-by-step explanation:

90 - 54 = 36

x + 5x = 6x

36 + 6x = 90

90 - 36 = 6x

36/6x = 6

x = 6

The two values of the expression 5x - 6 are -6 and 9 when x takes the values of 0 and 3, respectively.

We have,

To find two values of the expression 5x - 6, we need to assign different values to x and evaluate the expression.

Let's choose two arbitrary values for x and calculate the corresponding values of 5x - 6:

If we let x = 0:

5x - 6 = 5(0) - 6 = -6

If we let x = 3:

5x - 6 = 5(3) - 6 = 15 - 6 = 9

Therefore,

The two values of 5x - 6 are -6 and 9 when x takes the values of 0 and 3, respectively.

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Sequence of transformations carries ABCD onto HGFE are translation and reflection.

In mathematics, reflection refers to a transformation of a geometric figure in which the figure is flipped across a line or a plane. The line or plane across which the figure is flipped is called the line or plane of reflection, and it acts as the mirror for the reflection.

ABCD is a rectangle in 4th quadrant

Step1: Translate it by2 units in vertical direction

rectangle will shift to 1st quadrant with new coordinates.

Step2: Reflect the rectangle w.r.t y axis

The final rectangle will be in 3rd quadrant

Hence,   sequence of transformations carries ABCD onto HGFE are translation and reflection.

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Answer:

5^-4

1/5^4

1/625

is the answer

A possible corresponding function v(x,y) such that u(x,y) and v(x,y) satisfy the Cauchy-Riemann equations is:

v(x,y) = k/(x-y)To find the values of a, b, c, and d for which u(x,y) satisfies Laplace's equation, we need to check whether ∇^2 u = 0, where ∇^2 is the Laplacian operator. In two dimensions, the Laplacian of a function u(x,y) is given by:

∇^2 u = (∂^2 u/∂x^2) + (∂^2 u/∂y^2)

Taking second partial derivatives of u(x,y) with respect to x and y, we get:

∂^2 u/∂x^2 = 6ax + 2cy

∂^2 u/∂y^2 = 6dy + 2cx

Therefore,

∇^2 u = (6ax + 2cy) + (6dy + 2cx) = 8(cx + dy) + 6(ax + cy)

For ∇^2 u to be identically zero, we must have:

a = -c and b = d

Hence, u(x,y) can be written as:

u(x,y) = ax^3 + bx^2y - ax^2y - ay^3 = ax(x-y)^2 - ay(x-y)^2

And the corresponding v(x,y) such that u(x,y) and v(x,y) satisfy the Cauchy-Riemann equations is obtained by taking partial derivatives of u(x,y) with respect to x and y and setting them equal to partial derivatives of v(x,y) with respect to y and x, respectively:

∂u/∂x = av(x,y)(2x-2y) - ay(2x-2y)v(x,y) = (2x-2y)(av(x,y)-ayv(x,y)) = 2(x-y)(av(x,y)-ayv(x,y))

∂u/∂y = -ax(2x-2y)v(x,y) + ay(x-y)^2v(x,y)

∂v/∂x = -ay(x-y)^2v(x,y)

∂v/∂y = -ax(x-y)^2v(x,y) + av(x,y)(x-y)^2

Setting the coefficients of x and y to zero in the Cauchy-Riemann equations, we obtain:

2(av(x,y)-ayv(x,y)) = 0

-ax(x-y)^2 = ay(x-y)^2

av(x,y)(x-y)^2 = 0

From the first equation, we have av(x,y) = ayv(x,y). Substituting this into the second equation, we get a = -c = b = d. Then from the third equation, we have v(x,y) = k/(x-y), where k is a constant.

Therefore, a possible corresponding function v(x,y) such that u(x,y) and v(x,y) satisfy the Cauchy-Riemann equations is:

v(x,y) = k/(x-y)

where a = -c = b = d and k is a nonzero constant.

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Answer:

25.5

Step-by-step explanation:

the sum of an infinite geometric series with first term a and common ratio r<1 is given by a/(1-r).

------------------------------------

the sum of a given infinite geometric series is 200, and the common ratio is 0.15. What is the second term of this series?

Solve:

a/(1-r) = 200

a/0.85 = 200

a = 170 (that is the 1st term)

----

2nd term: a*r = 170*0.15 = 25.5

--------------------------------------

Info given

We have a total of people given (82). We also know that we have 54 children of under 12 years and under some children were under 3 years

We define x as the number of children under 3 years.

We want to find C for the total cost. We don't have the unitary prices but we can assume it as C1 (over 3 and lower than 12) and C2(adults) for children and adults.

Solution:

With C the total amount collected and C1 and C2 described above.

Answer:

1.50 liter/hr

Step-by-step explanation:

using;

\( \frac{6 - 3}{4 - 2} \)

=3/2= 1.50 liter/hr

Answer:

Area of square=81 cm^2. ✳But area=side^2. ✳81=s^2

Answer:

Assuming the question is wanting to know the area of a square with sides of 81 inches each, the answer would be

6561 inches squared

Step-by-step explanation:

if each side of the square is 81 inches, you multiply

81 x 81 = 6561

The total distance walked by Darren in 19 minutes with the speed of 5.7 km/hr 1805 meters.

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

\(s=\dfrac{d}{t}\)

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

Darren walks at a speed of 5.7 kilometers per hour. Convert this speed in the meter per second by multiplying it with fraction 5/18.

\(s=5.7\times\dfrac{5}{18}\\s=1.5833\)

Now, Darren walks in 19 minutes or in 1140 seconds (19×60) with the speed of 1.5833 m/s. Thus,

\(1.5833=\dfrac{d}{1140}\\d=1140\times1.5833\\d\approx1805\rm m\)

Hence, the total distance walked by Darren in 19 minutes with the speed of 5.7 km/hr 1805 meters.

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Answer:

Plz question ask in right way