At the movies, the cost of popcorn and the cost of
soda can be represented by the expressions shown
below. In terms of x, how could the price of one order
of popcorn and two sodas be expressed in simplest
form?

Popcorn: 3x + 5
Soda: 2x
A: 5x + 5
B: 10x
C: 7x + 5
D: 12x

Answer:

6 schedules

Step-by-step explanation:

First, decide if this situation describes a combination or a permutation by looking at the significance of order. Consider a specific example where the letters A – C represent the 3 different pitchers. The pitching order A, B, C is different from the pitching order B, C, A because the players will be pitching at different times. Therefore, this situation describes a permutation. Use the formula for finding the number of permutations when the number of pitchers is 3, so n = 3, and all 3 are taken at a time, so r = 3 as well.

Answer:

17/24

Step-by-step explanation:

This expression simplifies to the following:

-7     15        1          1

---- * -----  -  -----  +  -----

18     -7        4          8

Reducing the product, we get

  15        1

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

  18        8

and this simplifies further:

 5       1

----- - -----

 6       8

The LCD is 24.  Thus, we have:

20      3         17

------ - -----  =  -----

24      24       24

The graph of the function \(y+3=\frac{5}{2}(x - 5)\) is attached below.

What is graph of the function?

In mathematics, the set of ordered pairings where f(x)=y exists is the graph of a function. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

Consider the given function, \(y+3=\frac{5}{2}(x - 5)\)

It is in the form \(y-y_1=m(x-x_1)\)

Where,  \((x_1, y_1)\)is the point and m is the slope.

Graph passes through the point \((x_1, y_1)\) and having slope m.

Here, \((x_1, y_1) = (5, -3), m = \frac{5}{2}\)

Therefore, graph passes through the point (5, -3) and having slope 5/2.

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Answer:

b

a=1

Step-by-step explanation:

Using linear functions, it is found that:

\(y_G(x) = x + 30\)

\(y_A(x) = 3x + 10\)

A linear function has the following format:

\(y = mx + b\)

In which:

At Greenpoint Florist, $1 is charged per rose, plus $30 for the vase, hence, the equation is:

\(y_G(x) = x + 30\)

At Ashley's Flowers, $3 is charged per rose, plus $10 for the vase, hence, the equation is:

\(y_A(x) = 3x + 10\)

At the end of this answer, the two solutions are graphed, and it is found that when 10 roses are sold, the total cost would be of $40 for at both shops.

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Solution:

Given:

From the table,

Therefore, the answer is 20.

Answer: 678900 to the 10 power

Step-by-step explanation:

Answer:

77. g=15

Step-by-step explanation:

Answer:

77) 17-3=14

78) 7+6=13

79) 18/6=3

80) 9(3)=27

81) 8+5=13

82) 48/12=4

83) 83-24=59

84) 23-17=6

85) 10(5)=50

86) 86.5+7.63=94.13

87) 11(6)=66

88) 12÷3/4=16

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.

Reason: E.g. P(a<x>b) = 0.95

confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.

A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.

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Hello there!

5x-8(1)=32

5x-8=32

5x=32+8

5x=40

x=8

Brainliest?

Answer:

x = 8

Step-by-step explanation:

5x - 8y = 32 ( substitute y = 1 into the equation )

5x - 8(1) = 32

5x - 8 = 32 ( add 8 to both sides )

5x = 40 ( divide both sides by 5 )

x = 8

Answer: do you have a email so i can send it to you??

Step-by-step explanation:

The required answer is CO2 emissions in 6 years = 583,500 metric tons.

Based on the information given, we know that Belmont is a growing industrial town and that every year the level of CO2 emissions from the town increases by 10%. If the town produced 330,000 metric tons of CO2 this year, we can use this information to calculate how much CO2 will be produced in 6 years.

To do this, we can use the formula:
CO2 emissions in 6 years = CO2 emissions this year x (1 + growth rate)^number of years

Compound interest means that interest is earned on prior interest in addition to the principal. Due to compounding, the total amount of debt grows exponentially, and its mathematical study led to the discovery of the number e. In practice, interest is most often calculated on a daily, monthly, or yearly basis, and its impact is influenced greatly by its compounding rate.

The rate of interest is equal to the interest amount paid or received over a particular period divided by the principal sum borrowed or lent.
In this case, the growth rate is 10% per year and the number of years is 6. So, plugging in the numbers we get:

CO2 emissions in 6 years = 330,000 x (1 + 0.1)^6
CO2 emissions in 6 years = 330,000 x 1.77
CO2 emissions in 6 years = 583,500 metric tons

Therefore, if the town continues to grow at the same rate, it will produce 583,500 metric tons of CO2 in 6 years. This is an increase of 253,500 metric tons from the current level of emissions.

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Answer:

Step-by-step explanation:

To determine the values of a, b and c in the given equation, begin by expanding the right side:

\(\begin{aligned}\implies 12x^3+7x^2+3x-10&=2(ax^3+x^2+2x-5)+x(bx+c)\\&=2ax^3+2x^2+4x-10+bx^2+cx\\&=2ax^3+2x^2+bx^2+4x+cx-10\\&=2ax^3+(2+b)x^2+(4+c)x-10\end{aligned}\)

Compare the coefficients of the terms in x³ to find a:

\(\begin{aligned}\implies 12x^3&=2ax^3\\12&=2a\\6&=a\end{aligned}\)

Compare the coefficients of the terms in x² to find b:

\(\begin{aligned} \implies 7x^2&=(2+b)x^2\\7&=2+b\\5&=b\end{aligned}\)

Compare the coefficients of the terms in x to find c:

\(\begin{aligned} \implies 3x&=(4+c)x\\3&=4+c\\-1&=c\end{aligned}\)

Therefore, the values of a, b and c are:

Step-by-step explanation:

we have

2y = 4x - 9

and we want it to look like

...x + ...y = -9

simple.

the y term is already on the left side. we need to move the x term to the same side.

what do we do ? we subtract the term we want to get rid of on one side from both sides (we always have to do changes in both sides of the equation, or we change the whole meaning of the equation).

2y = 4x - 9 | -4x on both sides

-4x + 2y = -9

and we are finished. that's it.

Answer:

-4x + 2y = -9

Step-by-step explanation:

We are given the equation 2y=4x-9, and we want to convert it into standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0.

Notice how in standard form, x and y are on the same side. Currently, x and y are on different sides.

Therefore, we first need to get x and y on the same side.

We can do this by subtracting 4x from both sides.

2y = 4x - 9

-4x   -4x

_____________

-4x + 2y = -9

As indicated by the -9 on the left side, we have solved the question, and are now done.

Hence, the answer is -4x + 2y = -9.

To solve the expression -25 x (84/21) + (-3) x (-6), follow these steps:

Step 1: Perform the division inside the parentheses.
(84/21) = 4

Step 2: Replace the terms and rewrite the expression.
-25 x (4) + (-3) x (-6)

Step 3: Perform the multiplications.
-25 x 4 = -100
-3 x -6 = 18

Step 4: Rewrite the expression and perform the addition.
-100 + 18

Step 5: Calculate the final result.
-100 + 18 = -82

Your answer is -82.

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Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

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Answe

Step-by-step explanation:

Answer

402 meters ÷ 18 seconds

Step-by-step explanation:

Answer:

402 meters ÷ 18 seconds

Step-by-step explanation:

While doing this sorta math to find the speed it will always be how long  ÷  by how long or time!

Answer:

x=216°

Step-by-step explanation:

100%=360°

To find 10% divide by 10

10%=36°

x4

40%=144°

in a full circle thered 360°

360-144=216°

x=216°

Answer:

The third answer: -7/8

Step-by-step explanation:

Having the numerator negative makes the entire fraction negative. If both the numerator and the denominator are negative it means that the fraction is positive. So -7/8 is equal to - 7/8.

Hope This Helps :)

Answer:

(f•g)(x) = (x)(2) = 2x

Step-by-step explanation:

(f•g)(x) is the "product" of functions f and g:  

(f•g)(x) = (x)(2) = 2x

Step-by-step explanation:

m∠VWT = m∠TUW + m∠VUW

m∠VWT = 7x - 7 + 3x + 7

m∠VWT = (7 + 3)x + (-7 + 7)

m∠VWT = 10x°

MK = MX + XK

MK = 7x - 1 + 5x + 1

MK = (7 + 5)x - 1 + 1

MK = 12x

The critical values of r at a significance level of 0.5 for a sample size of 90 are approximately ±0.131.

To determine if the given correlation coefficient r = -0.242 represents a significant linear correlation, we need to compare it with the critical values of r. For a significance level of 0.5 (or 50%), and a sample size of 90, we consult a critical values table for correlation coefficients.

The critical values of r at this significance level for a sample size of 90 are approximately ±0.131. Since -0.242 falls outside the range of ±0.131, it indicates that the correlation is not statistically significant at the given significance level. This means that the observed correlation is likely due to random chance rather than a true linear relationship between the variables.

Thus, we can conclude that there is no significant linear correlation between the variables based on the given correlation coefficient and sample size.


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In spherical coordinates, the equation \(5z^2 = 6x^2 + 6y^2\) can be written as: \(ρ^2sin^2(φ) = 6ρ^2sin^2(θ)cos^2(φ) + 6ρ^2sin^2(θ)sin^2(φ)\)

Spherical coordinates are a system of coordinates used to represent points in three-dimensional space. In this coordinate system, a point is described by three parameters: ρ (rho), θ (theta), and φ (phi).

ρ (rho) represents the radial distance from the origin to the point.

θ (theta) represents the azimuthal angle, which is the angle measured in the xy-plane from the positive x-axis to the line connecting the origin and the point.

φ (phi) represents the polar angle, which is the angle measured from the positive z-axis to the line connecting the origin and the point.

In spherical coordinates, a point in 3D space is represented using three parameters: ρ (rho), θ (theta), and φ (phi).

ρ (rho) represents the radial distance from the origin to the point.

θ (theta) represents the azimuthal angle, which is the angle measured in the xy-plane from the positive x-axis to the line connecting the origin and the point.

φ (phi) represents the polar angle, which is the angle measured from the positive z-axis to the line connecting the origin and the point.

To express the equation\(5z^2 = 6x^2 + 6y^2\)in spherical coordinates, we need to convert the variables x, y, and z to their corresponding spherical coordinate representations.

In spherical coordinates, the conversions are as follows:

x = ρsin(φ)cos(θ)

y = ρsin(φ)sin(θ)

z = ρcos(φ)

Substituting these values into the equation, we have:

5(ρcos(φ))^2 = 6(ρsin(φ)cos(θ))^2 + 6(ρsin(φ)sin(θ))^2

Simplifying the equation further by expanding the terms and using trigonometric identities, we can obtain the equation in spherical coordinates:

\(ρ^2sin^2(φ) = 6ρ^2sin^2(θ)cos^2(φ) + 6ρ^2sin^2(θ)sin^2(φ)\)

This equation relates the variables ρ, θ, and φ in spherical coordinates and represents the same relationship as the original equation in Cartesian coordinates.

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Answer: x = 14, y = 39.

The statistic that would not change if 50 points were added to each score in the SAT tests is the Standard Deviation.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance.

The bigger the deviation within the data collection, the further the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.

Since they are used to determine standard deviation, sample size, mean, and data values all have an impact on standard deviation. By removing outliers, the sample size, mean, and standard deviation may all change.

Because 50 points was added to each score, they are still the same distance from each other which means the standard deviation will not change.

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The angle that is complementary to angle X is 90 degrees minus angle X.

1. Complementary angles are two angles whose sum is 90 degrees.

2. Let's assume that angle X is given.

3. To find the angle that is complementary to angle X, we need to subtract angle X from 90 degrees.

4. The formula to find the complementary angle is: Complementary Angle = 90 degrees - angle X.

5. Substitute the value of angle X into the formula to calculate the complementary angle.

6. For example, if angle X is 45 degrees, the complementary angle would be: 90 degrees - 45 degrees = 45 degrees.

7. Similarly, if angle X is 60 degrees, the complementary angle would be: 90 degrees - 60 degrees = 30 degrees.

8. Therefore, to find the complementary angle to any given angle X, subtract that angle from 90 degrees.

9. The result will be the measure of the angle that is complementary to angle X.

10. Remember that complementary angles always add up to 90 degrees.

11. By using this approach, you can find the complementary angle for any given angle X.

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Answer:

w=9

Step-by-step explanation:

short answer 2 and 6 are the same size with three x difference, so three times three is nine.