In the figure
find XY.

The cost of one adult ticket is $7.

The first step is to set up a pair of linear equations that represent the information in the question.

29a + 17y = 254 equation 1

21a + 22y = 213 equation 2

Where:

The elimination method would be used to solve the equations

Multiply equation 1 by 22:

638a + 374y = 5588 equation 3

Multiply equation 2 by 17:

357a + 374y = 3621 equation 4

Subtract equation 4 from equation 3

1967 = 281a

Divide both sides of the equation by 281

1967 / 281 = a

a = 7

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Answer:

to find f(2), we need to substitute x=2 into the equation:

f(2) = 3(2)^2 - 2(2) + 4

Simplifying:

f(2) = 3(4) - 4 + 4

f(2) = 12

Therefore, f(2) = 12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(2) = (3)(2^2) - 2(2) +4[/tex]

       [tex]= 12 - 4+ 4[/tex]

       [tex]= 12[/tex]

Answer:

To evaluate 11.1x + 10.7y when x = 7 and y = 8, we simply substitute these values into the expression and simplify:

11.1(7) + 10.7(8) = 77.7 + 85.6 = 163.3

Therefore, 11.1x + 10.7y evaluates to 163.3 when x = 7 and y = 8.

Step-by-step explanation:

Answer:

2520

because we need to multiply all the lengths to take out volume of piramid

Answer:

a. True. Both 0.3 and 0.3... represent the decimal expansion of one-third, which is equivalent to the fraction 1/3.

b. True. The number 0.111000111000... is a repeating decimal, with a repeating block of three digits (111) that starts repeating from the fourth decimal place.

c. True. The fraction 1/9 is equal to the repeating decimal 0.1111..., where the digit 1 repeats infinitely.

d. True. To convert the fraction 2/11 to a decimal, we can perform long division. We get a repeating decimal expansion of 0.181818... where the digits 18 repeat infinitely. Therefore, the statement is true.

Step-by-step explanation:

Answer:

To determine Laars' gross earnings per pay period under different payment frequencies, we need to divide his annual salary of $90,000 by the number of pay periods in a year for each frequency.

a. Monthly: Laars will receive 12 paychecks per year, one per month.

Gross earnings per pay period = $90,000 / 12 = $7,500 per month

b. Semi-monthly: Laars will receive 24 paychecks per year, two per month.

Gross earnings per pay period = $90,000 / 24 = $3,750 per semi-monthly period (twice per month)

c. Biweekly: Laars will receive 26 paychecks per year, one every two weeks.

Gross earnings per pay period = $90,000 / 26 = $3,461.54 per biweekly period (every two weeks)

d. Weekly: Laars will receive 52 paychecks per year, one per week.

Gross earnings per pay period = $90,000 / 52 = $1,730.77 per weekly period (every week)

Therefore, Laars' gross earnings per pay period are $7,500 per month, $3,750 per semi-monthly period, $3,461.54 per biweekly period, and $1,730.77 per weekly period.

Answer:

A = 48 cm²

Step-by-step explanation:

A = (1/2)bh

A = (1/2)(8 cm)(12 cm)

A = 48 cm²

Answer:

48cm^2

Step-by-step explanation:

8×12=96

96÷2=48cm^2

The result is 5 1/3, not 5 1/4 as Lin suggested.

No, I don't agree with Lin's statement. Lin's explanation is incorrect.

When evaluating the expression 4 ÷ (3/4), we need to remember the order of operations, which states that we should perform the division before the multiplication.

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 3/4 is 4/3. Therefore:

4 ÷ (3/4) = 4 * (4/3)

Now we can simplify the expression:

4 * (4/3) = (4 * 4) / 3 = 16 / 3

The result, 16/3, is an improper fraction. To convert it to a mixed number (a whole number and a fraction), we divide the numerator (16) by the denominator (3):

16 ÷ 3 = 5 with a remainder of 1

The quotient is 5, and the remainder is 1. Therefore, the result is 5 1/3, not 5 1/4 as Lin suggested.

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Answer:

1. The shape of each cut surface is the same shape as the base it is parallel to: a rectangle. It is an 8" by 10" rectangle

Step-by-step explanation:

Answer:

- 2 - 3 is the same thing as -2 + -3. This is because taking away 3 is the same thing as adding - 3. -2 -3 is just a more simplified version of -2 + -3.

Hope this helps!

Answer:

it should give you the option right before you post the answer, what subjectand grade level

Step-by-step explanation:

Answer:

It is better to buy 6 pints at $8.10

Step-by-step explanation:

To compare the cost per pint in each option, we can divide the total cost by the total number of pints.

For the first option, buying 3 pints at $3.60, the cost per pint is shown by the following:

3 pints ÷ $3.60 = $0.83 / pint

For the second option, buying 6 pints at $8.10, the cost per pint is shown by the following:

6 pints ÷ $8.10 = $0.74 / pint

Therefore, buying 6 pints at $8.10 is less expensive per pint than buying 3 pints at $3.60. Each pint when buying 3 at a time costs $0.83 whereas each pint when buying 6 at a time costs $0.74.

The graph represents a proportional relation

From the question, we have the following parameters that can be used in our computation:

The graph

We can see that the lines pass through the origin

This means that the graph is a proportional relationship

From the graph. we have

(x, y) = (2, 400)

So, the unit rate is

Rate = 400/2

Rate = 200

The interpretation of this is that Mason's speed is 200 meters per minute

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In response to the query, we can state that Therefore, the Pearson correlation coefficient r for the given points is approximately -0.758.

The relationships between various variables are described by correlations. Expressions might be strong, weak, positive, or negative. 1 = Correlation does not always imply causation. Correlation is a statistical indicator of the linear relationship between two variables (that is, do they change at a constant rate).

1 6 -3 1 9 1 -3

Σx = 28

Σy = 36

n = 7

Therefore, the correlation coefficient r for the given points is approximately -0.758.

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Answer: Please refer to the step by step explanation :)

Step-by-step explanation:

To understand how .0362 is less than .05, let’s pretend the 6 and the 2 don’t exist for right now. So, now we have .03 and .05. Since three is a lesser number than five, this has to mean .03 is less than .05. Reapplying the 6 and 2, .0362 must be less than .05.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\qquad B(\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -4}{2}~~~ ,~~~ \cfrac{ 2 -6}{2} \right) \implies \left(\cfrac{ -1 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies \left(-\frac{1}{2}~~,~~-2 \right)[/tex]

The length of the side 'х' is 79.20 units to two decimal places.

Angle is a two-dimensional figure that is formed by two straight lines intersecting each other. It can also be defined as the amount of rotation between two lines or planes. An angle is measured in degrees, with a full rotation being 360°.

The given triangle is a right-angled triangle as it has an angle of 64° which is a right angle. The angle 35° and 113 are the other two angles of the triangle. To find the length of the side 'х', we need to use the Pythagorean Theorem. The Pythagorean Theorem states that "the square of the hypotenuse is equal to the sum of the squares of the other two sides".
In this case, the hypotenuse is 113, and the other two sides are 'х' and the perpendicular side opposite to the angle of 35°. Therefore, using the Pythagorean Theorem, we can say:
113² = х² + (perpendicular side)²
Using the trigonometric ratio sine, we can calculate the length of the perpendicular side opposite to the angle 35°, which is equal to the sine of 35° multiplied by the hypotenuse.
(perpendicular side) = sin 35° × 113
Therefore, the equation for the triangle now becomes:
113² = х² + (sin 35° × 113)²
Simplifying the equation and solving for 'х' gives us:
х² = 113² - (sin 35° × 113)²
х = √(113² - (sin 35° × 113)²)
Finally, substituting the values, we get:
х = √(113² - (sin 35° ×113)²)
 = √(12,841 - (0.5736 × 113)²)
 = √(12,841 - 6,539.7808)
 = √6,301.2192
 = 79.20
Therefore, the length of the side 'х' is 79.20 units to two decimal places.

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Answer:

reflection around the y-axis

Step-by-step explanation:

you really don't see that the picture just flipped from left to right and vice versa (around a central vertical mirror line through the black center dot) ?

to make it simple I just declare this line to be the y-axis.

B .The results of the chi-square goodness-of-fit test, with a chi-squared statistic of 5.4 and a p-value of 0.067, Silvia cannot reject the null hypothesis that her cat is equally likely to eat first from each of the three locations at the 0.05 significance level.

Therefore, the correct answer is B: There's not enough evidence to conclude that her cat prefers to eat first from some locations more than others. It is important to note that while the p-value is relatively close to the significance level of 0.05, it does not meet the threshold for statistical significance, and the sample size may not be large enough to draw definitive conclusions about the cat's feeding preferences.

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Answer: There's not enough evidence to conclude that her cat prefers to eat first from some locations more than others.

Step-by-step explanation: Since the P-value is greater than the significance level, we can't reject the null hypothesis. In this context, the null hypothesis is that cat is equally likely to choose each of the locations. (Got it right on Khan academy)

Therefore , the solution of the given problem of slope comes out to be option D 3:5 is the correct slope.

The slope of a line determines how steep it is. Gradient overflow is a condition that can occur in equations based on gradients. By dividing the total of the run (width difference) and emergence (climbing distinction) among both two points, one can calculate the slope. The fixed path problem is modelled using the equation y = mx + b with the hill variant. where slope is millimeters, a = bc, and the location of the line's y-intercept.

Here,

Given :

Vertical length = 6

and

horizontal length = 10

=> Slope: Y/X=6/10=0.6

=>  6/10 =  3/5(D)

Thus , option D 3:5 is the correct slope.

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Answer:

A

Step-by-step explanation:

Brady pays an additiοnal interest οf $583.33 each mοnth.

Tο calculate simple interest, multiply the principal amοunt by the interest rate and the time. The fοrmula written οut is "Simple Interest = Principal x Interest Rate x Time." This equatiοn is the simplest way οf calculating interest.

Let x be the additiοnal interest Brady pays each mοnth.

Since there are 12 mοnths in a year, the tοtal additiοnal interest he pays in a year is 12x.

Accοrding tο the prοblem, if Brady invests this additiοnal interest at the rate οf 3% fοr οne year, he will earn $210 in simple interest. Using the simple interest fοrmula, we have:

I = Prt

210 = 12x0.031

Simplifying this equatiοn, we get:

210 = 0.36x

Dividing bοth sides by 0.36, we get:

x = $583.33

Therefοre, Brady pays an additiοnal interest οf $583.33 each mοnth.

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The coefficient of variation for a Poisson distribution with A=5 is equal to 1/A, which is equal to 0.2.

Poisson Distribution is a type of probability distribution used for independent events which occur at a known average rate within a given interval of time or space. It is used to model the number of times an event is likely to occur within a specified period of time or space. It is used in fields such as healthcare, quality control, finance, and engineering.

Coefficient of variation (CV) is a measure of relative variability or dispersion. It is a measure of the relative dispersion of a set of data points around its mean. It is calculated by dividing the standard deviation of the data points by the mean.

The coefficient of variation for a Poisson distribution with A=5 is equal to 1/A, which is equal to 0.2. This means that the relative variability of a Poisson distribution with A=5 is 0.2. This is because the standard deviation of a Poisson distribution is equal to the square root of the mean, and in this case, the mean is 5. Therefore, the standard deviation is the square root of 5, or 2.236. When divided by the mean, the coefficient of variation is 0.2.

In general, the coefficient of variation is used to compare the variability of two different datasets. A low coefficient of variation indicates that the data points are relatively close to the mean and that there is not much variability in the data. A high coefficient of variation indicates that the data points are further away from the mean and that there is a greater amount of variability in the data.

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The correct answer is interval 2. A function is a rule that relates each element in one set, called the domain, to exactly one element in another set, called the range.

It is a mathematical expression that takes an input, performs a calculation and produces an output.

In order to determine if dy/dx>0 and d2y/dx2<0 over interval 2, we must take the first and second derivatives of the function y=f(x). The first derivative of the function is dy/dx=2x-3 and the second derivative of the function is d2y/dx2=2.

Now, if we look at the graph, we can see that the function is increasing from 0 to 3 and then decreasing from 3 to 6. This means that over interval 2, which is from 3 to 6, the first derivative, dy/dx, must be negative. This means that dy/dx<0 over interval 2.

Furthermore, the second derivative, d2y/dx2, must be negative over interval 2 since the graph is decreasing over this interval. This means that d2y/dx2<0 over interval 2.

Therefore, the correct answer is interval 2 since it is the only interval for which both dy/dx>0 and d2y/dx2<0 are true.

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Using percentage concept, we would have saved 2784.6 dollars after a year

To calculate how much you will have saved after a year, we can break down the savings for each week of each month, and then add up the total. Here's how it works:

We can use percentage to calculate how much is saved each week

In the first week of each month, you save 10% of your weekly allowance, which is 10 percent of 500 = 50 dollars.

In the second week of each month, you save 10% more than the previous week, which is 10% of (500 + 50) = 55 dollars.

In the third week of each month, you save 10% more than the previous week, which is 10% of (500 + 50 + 55) = 60.5 dollars.

In the fourth week of each month, you save 10% more than the previous week, which is 10% of (500 + 50 + 55 + 60.5) = 66.55 dollars.

So in total, you save 50 + 55 + 60.5 + 66.55 = 232.05  dollars per month.

Over the course of a year, you will have saved 232.05 dollars per month * 12 months = 2784.6 dollars.

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The horizontal distance from the base of the skyscraper out to the ship would be 1053 feet.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 45°, hence:

[tex]\text{Angle} = 90 - 45 = 45^o[/tex]

Using trigonometric ratio:

[tex]tan(45) = \dfrac{d}{1053}[/tex]

[tex]d = 1053\ \text{feet}[/tex]

The horizontal distance from the base of the skyscraper out to the ship would be 1053 feet.

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Answer:

The answer is A

Step-by-step explanation:

thats all