Using the figure shown what is the measure of angle x and angle y?

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.

Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.

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Answer:

There are no mistakes

Step-by-step explanation:

I did the assignment

Answer:

x-intercept: (1, 0)

Step-by-step explanation:

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0).  Looking at the two points on the graph, one of them crosses the x-axis at point (1, 0). This represents the x-intercept of the line.

Therefore, the x-intercept of the line is (1, 0).

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Answer:

Step-by-step explanation:

The mixed numbers can be expressed as improper fractions in the usual way. The integer portion can be expressed as a multiple of the fraction denominator divided by itself.

Integers can be expressed as a ratio with 1 as the denominator.

1 2/5 = (1×5/5) +2/5 = (5+2)/5 = 7/5

0.3 = three tenths = 3/10

-3 1/4 = -(3×4/4 +1/4) = -(12+1)/4 = -13/4

-27 = -27/1

0 = 0/1

Amplitude is the maximum displacement of a function on a graph.

Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.

It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.

But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.

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To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

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Answer:

-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helped

Answer:

36/25

Step-by-step explanation:

If you need help and nobody is answering you or they don't know how to do it. Look at picture below

Answer:

-3.75

Step-by-step explanation:

The percentage of our new facility's seating is full will be 76%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

Our new training room can seat 150 employees.

If 6 tables consisting of 6 chairs are now taken.

Then the number of occupied seats by tables will be

⇒ 6 x 6

⇒ 36

Then the percentage of our new facility's seating is full will be

P = [(150 - 36) / 150]  x 100

P = (114/150) x 100

P = 0.76 x 100

P = 76%

The percentage of our new facility's seating is full will be 76%.

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Answer:

ok I will help you please wait for some time

Answer:

23

Step-by-step explanation:

Add the total number of hours in the given situation

Answer:

61.8

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 172.6, \sigma = 42.4\)

What percentage of women have weights between the ejection seat’s weight limits (that is, 133.8 to 208.0 lb)?

We have to find the pvalue of Z when X = 208 subtracted by the pvalue of Z when X = 133.8 for the proportion. Then we multiply by 100 to find the percentage.

X = 208

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{208 - 172.6}{42.4}\)

\(Z = 0.835\)

\(Z = 0.835\) has a pvalue of 0.798

X = 133.8

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{133.8 - 172.6}{42.4}\)

\(Z = -0.915\)

\(Z = -0.915\) has a pvalue of 0.180

0.798 - 0.18 = 0.618

0.618*100 = 61.8%

Without the %, the answer is 61.8.

Answer:

A, I believe.

Step-by-step explanation:

it says both miles and hours are included

We want to see which units the rate that describes the motion of the car has, we will see that the correct option is A. "miles and hours."

A rate, as its name implies, is a ratio between two quantities.

For example, speed is a rate between distance traveled and the time it takes to travel that distance.

Then there are two units describing the rate, distance units and time units, like in:

"50 miles per hour"

From this, the correct option is the first one, the rate that describes the motion of the car would have units of:

A "miles and hours"

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Answer:

The slope is -2 and the slope-intercept form is y=-2x+20

Step-by-step explanation:

To find the slope between two points, remember to use the equation y2-y1 over x2-x1. That will help you get the slope. To find the y-intercept, use any of the two points given and insert the slope into the equation y=mx+b. For this one I used the two points (7,6)

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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Answer:

If they are across from each other the angles are the same so divide 81 by 3 and thats your x value, so its 27

Answer:

b

Step-by-step explanation:

pi is never ending; you can't simply pi into a fraction/ratio

The perimeter of the figure with side length of 5 units is 50 units

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

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

Based on the definition of  parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.

If two sides of a shape have the same slopes, it then means the shape is a parallelogram.

The quadrilateral that is given is said to have the following:

Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.

Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

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Answer:

h=A*2b

Step-by-step explanation:

A=1/2bh

1/2bh=A

1/2bh÷1/2bh=A÷1/2bh (the 1/2b will cancel with the 1/2b on the left leaving h)

h=A*2b

Answer:

Their quotients are a constant

Step-by-step explanation:

Required

Quotient of two variable

Let the variables be x and y

The quotient of x and y in this case is their constant of variation.

Take for instance:

\((x_1,y_1) = (2,4)\)

\((x_2,y_2) = (4,8)\)

\((x_3,y_3) = (8,16)\)

Their quotient is calculated as follows:

\(Quotient = \frac{y}{x}\)

\((x_1,y_1) = (2,4)\)

\(Quotient = \frac{4}{2} = 2\)

\((x_2,y_2) = (4,8)\)

\(Quotient = \frac{8}{4} = 2\)

\((x_3,y_3) = (8,16)\)

\(Quotient = \frac{16}{8} = 2\)

Notice that the quotient has a constant value of 2.

However, the sum, difference or products will give a different set of values entirely.

Hence, option (d) is correct

Answer:

The new points to the triangle will be:
\(A(1,4)\\ B(1,1)\\ C(-1,1)\)

Step-by-step explanation:

Because the reflection point is at \(x=2\), all x values will subtract their distances from \(x=2\) to get their new values. The y values remain the same.

The starting values are:

\(A(3,4)\\ B(3,1)\\ C(5 ,1)\)

Point \(A\) is 1 unit away from \(x=2\), so we'll subtract 1 from 2 to get the new x value: \(2 - 1 = 1\), so \(A(1,4)\).

 

Point \(B\) is also 1 unit away from \(x=2\), so we'll subtract 1 from 2 to get the new x value: \(2 - 1 = 1\), so \(B(1,1)\).

Point \(C\) is 3 units away from \(x=2\), so we'll subtract 3 from 2 to get the new x value: \(2 - 3 = -1\), so \(C(-1,1)\).