how to write the rule for #10 with the given reflection. if there is no rule, describe the transformation in words .

Answer:

\(M = 1.75\) --- Movies

\(V = 5.5\) --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

\(2M + 3V = 20\)

The next month, the expression is:

\(6M + 5V = 38\)

Required

Find M and V

We have:

\(2M + 3V = 20\) --- (1)

\(6M + 5V = 38\) --- (2)

Multiply (1) by 3.

3 * \(2M + 3V = 20\)

\(6M + 9V = 60\) --- (3)

Subtract (1) from (3)

\(6M + 9V = 60\)

- \(6M + 5V = 38\)

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

\(6M - 6M + 9V - 5V = 60 -38\)

\(4V = 22\)

Divide by 4

\(V = 5.5\)

Substitute 5.5 for V in (1)

\(2M + 3V = 20\)

\(2M + 3 * 5,5 = 20\)

\(2M + 16.5= 20\)

Subtract 16.5 from both sides

\(2M = 3.5\)

Divide by 2

\(M = 1.75\)

Answer:

37.95

Step-by-step explanation:

MATH

The cost of seven pastrami sandwiches and twelve sodas is $40.08.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65.

2P + 5S = 12.65

3P + 2S = 12.65

2P + 5S = 3P + 2S

P = 3S

3 x 3S + 2S = 12.65

6S + 2S = 12.65

8S = 12.65

S = $1.58

P = $3.16

The cost of seven pastrami sandwiches and twelve sodas will be:-

Cost = 7P = 12S

Cost = ( 7 x 3.16 ) + ( 1.58 x 12 )

Cost = $41.08

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The correct answers are A) 7cm, C) 9cm and D) 12cm

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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All angles are 90 degrees.Rhombus: All sides are of equal length.Square: All angles are 90 degrees and all sides are of equal length

a) To construct a triangle in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Triangle’ option.

Step 3: Click three points anywhere on the graph.

Step 4: Once you have drawn the triangle, you can use the ‘Angle’ tool to measure all the angles in the triangle. Similarly, use the ‘Length’ tool to measure the length of each side of the triangle.To identify the type of triangle, we can use the following properties:Acute Triangle: All angles of the triangle are less than 90 degrees.Right Triangle: One of the angles in the triangle is 90 degrees.Obtuse Triangle: One of the angles of the triangle is greater than 90 degrees.Scalene Triangle: All sides of the triangle are of different lengths.Isosceles Triangle: Two sides of the triangle are of the same length.Equilateral Triangle: All sides of the triangle are of the same length.To construct a quadrilateral in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Quadrilateral’ option.

Step 3: Click four points anywhere on the graph.

Step 4: Once you have drawn the quadrilateral, you can use the ‘Angle’ tool to measure all the angles in the quadrilateral. Similarly, use the ‘Length’ tool to measure the length of each side of the quadrilateral.To identify the type of quadrilateral, we can use the following properties:Irregular Quadrilateral: All sides and angles of the quadrilateral are of different lengths and measures.Trapezium: Only one pair of opposite sides is parallel.Parallelogram: Opposite sides are parallel.Rectangle:.b) Since we need to add a screenshot of the work done in GeoGebra, we cannot add it here. However, while you construct the triangle and the quadrilateral, you can keep adding the measure of angles and sides to find the properties of the figure. You can then use the Text command available in GeoGebra to describe the type of triangle or quadrilateral that you have constructed. To use the Text command in GeoGebra, follow the steps below:

Step 1: Select the ‘Text’ tool from the toolbar

.Step 2: Click anywhere on the graph to add the text box.

Step 3: Type the text in the text box.

Step 4: Customize the font, color, and size of the text as required.

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Answer:

1.5

Step-by-step explanation:

1.26 ÷ 0.84 = 1.5

The right response is D: Fuel usage rises exponentially.

Definition of fuel: A material that is burnt to produce heat, electricity, or nuclear energy. When burned, materials such as coal, timber, oil, or gas may produce heat. Fuel types include methanol, gasoline, diesel, lpg, natural gas, and hydrogen. Burning plutonium generates nuclear energy.

Because of its good intensity of combustion and ability to combine easily with air in a carburetor, gasoline—originally a byproduct of the petroleum industry, with kerosene being the main product—became the favoured fuel for automobiles. petrol is hence another term for petrol.

The statement \(f(x)=1.3^{x}\) models the fuel consumption of a speed boat.

Since the exponent \(x\) is a variable that represents the speed of the boat, we can conclude that the fuel consumption of the boat increases exponentially as the speed increases.

Therefore, the correct answer is D: "Fuel consumption increases exponentially."

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Answer: b.not enough info

Step-by-step explanation:

Corresponding angles of congruent triangles are congruent, so \(\angle A =\angle P\)

However, we don't have all 3 interior angles of either triangle, so we cannot conclude anything.

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

The sample variance and standard deviation are given as follows:

Variance = 87.22 %.

Standard deviation = 9.34%.

To obtain the variance and the standard deviation first, we must obtain the mean, which is given by the sum of all observations divided by the number of observations, hence:

Mean = (77.1 + 82.9 + 90 + 91.3 + 81.9 + 83.3 + 84.9 + 82.5 + 84.6)/10

Mean = 75.85.

Then we must obtain the sum of the differences squared between each observation and the mean, as follows:

(77.1 - 75.85)² + (82.9 - 75.85)² + (90 - 75.85)² + (91.3 - 75.85)² + (81.9 - 75.85)² + (83.3 - 75.85)² + (84.9 - 75.85)² + (82.5 - 75.85)² + (84.6 - 75.85)² = 784.9825

The sample variance is given by the above sum divided by one less than the sample size, hence:

Variance = 784.9825/9

Variance = 87.22 %.

The standard deviation is the square root of the variance, hence:

Standard deviation = sqrt(87.22)

Standard deviation = 9.34%.

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Hello! :)

\(\large\boxed{\text{ Option 2.}}\)

Recall the Pythagorean identity:

tan² x + 1 = sec² x

We are given:

(1 - sec x)(1 + sec x) = tan² x

Multiply using a difference of squares:

1 - sec² x = tan² x

Looking at the equation, we can see that it is not equal to the Pythagorean identity.

We can rearrange the original identity to find what (1 - sec² x) is equivalent to:

tan² x + 1 = sec² x

Move sec² x to the left hand side:

tan² x + 1 - sec² x = 0

Move tan² x to the right hand side:

1 - sec² x = -tan² x

Therefore, the identity is FALSE because (1 - sec x)(1 + sec x) = -tan² x.

The sentence which show correct verb tense usage is The overall outlook is favorable.

Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.

Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.

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Answer:

-6(y-z)=-6y+6z

Hope This Helps!!!

Answer:

-6y +6z

Step-by-step explanation:

-6(y-z)=

Distribute by multiplying the -6 to each term in the parentheses

-6*y -6 *(-z)

-6y +6z

there are a total number of 78,364,164,096 different ways of arranging the letter and digits on the license plate.

In case there are 26 letters and 10 digits permitted in each of 7 places (and no spaces permitted), at that point there are total

36^7= 78,364,164,096 number of plates conceivable, but no question the issuing organization will forbid a subjective subset of these on tasteful grounds, for foulness, or for political incorrectness. If spaces are permitted, the number of plates is 37^7 or 94,931,877,133.In the case, as it were one space or marker is permitted (Ontario, Canada presently employments ‘ABCD*123’, for case), the number is 78,364,164,096 * 6 or 470,184,984,576, since there are 6 spots between 7 characters.

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The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

=============================================================

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

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

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

\(\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}\)

which simplifies or cleans up to

5/x = 25/40

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

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

Answer: -12

Step-by-step explanation:

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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Answer:

if you have a pic of question send it plz then will give answer

Step-by-step explanation:

We are given the following table:

We are asked to identify the probability of randomly selecting a student who studies for 1-2 hours.

To do this, we need to identify how many of the members of the data set study for 1-2 hours. Looking at the last column of the table, we see that the total number of students studying for 1-2 hours is 29.

Meanwhile, the total number of students in the data set is 130 as seen in the bottom right corner of the table.

The probability of an event is equal to the number of times that it happens divided by the total number of trials. In this case, it is:

Therefore the answer is 29/130 or 22.3%.

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Using the parallelogram law to find m, the value of m is 50°.

The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.

The parallelogram must have equal opposed sides in Euclidean geometry.

If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = (AC)² + (BD)²

If the parallelogram is a rectangle, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = 2(AC)²

The value of the unknown angles in the parallelogram are as follows:

CED = 180 - (60 + 33 + 37)

CED = 50°

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Answer:

[3, + ~)

Step-by-step explanation:

I DON'T HAVE PEN AND PAPER WITH ME I CAN'T GRAPH IT

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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This function represents a downward-opening parabola with a vertical shift of 6 units upward.

The given function is Ƒ(t) = –1/(2t²) + 2t + 6.

This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.

Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.

So, the function Ƒ(t) can be written as:

Ƒ(t) = (-1/2)t² + 2t + 6

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

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Answer:

f(x) approaches positive infinity as x approaches negative infinity; f(x) approaches positive infinity as x approaches positive infinity

Step-by-step explanation:

We have q(x)=3x^4+8x^3-13x^2-22x+24

The leading term of this polynomial is 3x^4 (it has the highest degree) where the degree is 4 [it is even] and the leading coefficient is 3 [it is positive]

Therefore the end  behavior of the polynomial is f(x) --> ∞ as x ----> - ∞ and f(x) ----->  ∞ as x --->  ∞