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The factorization of a trinomial is modeled with algebra
tiles.
(image below)
Which trinomial is factored?
Ox² + 3x-6
Ox² + 5x-6
Ox² + 3x-2
Ox²+x-6

Answer:

the answer is

7

Step-by-step explanation:

why is it 7 it is cause -10+7=3

Answer:

7

the answer is 7 because -10+7=-3

Step-by-step explanation:

P.S - The exact question is -

Given - Priya is simplifying the expression -2(4 - 2x) - 3 - 2x  Her work is shown to the left.  

To find - Priya's work is incorrect.  Explain the error she made.

Proof -

Priya simplified the problem as follows :

-2( 4 - 2x ) - 3 - 2x

-8 - 2x - 3 - 2x

-11 - 4x

But the simplification has to be like

-2( 4 - 2x ) - 3 - 2x

⇒-2(4) - 2(-2x) - 3 - 2x

⇒-8 + 4x - 3 - 2x

⇒-8 - 3 + 4x - 2x

⇒-11 + 2x

So, Priya made an error in the second line.

In the second line it has to be -8 + 4x - 3 - 2x but Priya has written -8 - 2x - 3 - 2x.

Answer:

number of years = 2002 - 1998 = 4

100 - 15= 85%

85/100=0.85

850000 X 0.85^4= 443705.3125

$443705.31

Data analysis is the process of examining and interpreting data to extract meaningful insights.

Variables are characteristics or attributes that can change or take on different values in a study. Single source refers to data that comes from only one source.
One reason to perform additional research on correlations found through data analysis is that there may not be an actual cause and effect relationship between the correlated variables. Correlation does not necessarily imply causation, and further research can help to determine whether there is a causal relationship between the variables. Additionally, a single source may not provide enough data for a conclusion, and further research can help to increase the sample size and improve the generalizability of the results. Finally, conducting additional research can help to understand the relationship between the variables more fully, potentially revealing new insights and implications for the study.
One reason to perform additional research on correlations found through data analysis is that there may not be an actual cause-and-effect relationship between the correlated variables. A single source may not provide enough data for a solid conclusion, and further research can help to better understand the relationship between the variables, confirming or refuting the initial findings. This process can help ensure the validity and reliability of the results obtained from the initial data analysis.

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Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

Given that each roll is independent and that the odds of rolling a 2 are 1/6, the probability of receiving three 2s in a row is 1/216.

a. We can apply the multiplication principle to determine how many outcomes there are overall in the sample space.

There are 666 = 216 possible outcomes in the sample space because there are six outcomes for each die roll and we are rolling the die three times.

b. As each die roll is independent of the others, there is a 1/6 chance that any particular roll will result in a 2.

Therefore, the probability of getting three 2's in a row is (1/6)(1/6)(1/6) = 1/216.

So the probability of all three rolls being 2 is 1/216.

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The distance covered is 36 km and the original rate is 4 km/hr

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

Let speed be y and distance be x

The equation of time is

time = x/y

So, we have the following equations

x/(y + 1/2) = x/y - 1

x/(y - 1) = x/y + 3

So, we have

x/y - x/(y + 1/2) = 1

x/(y - 1) - x/y = 3

When solved graphically, we have

x = 36 and y = 4

This means that

The distance covered is 36 km and the speed is 4 km/hr

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Answer:

I think the answer is A

Step-by-step explanation:

The example of a survey are; A. Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it

An survey is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before.

Since Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

The survey asks participants to quantify their trust in politicians while a numerical scale, with 1 being the least amount of trust.

Example of a survey;

Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it

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The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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Answer:

A

Step-by-step explanation:

By adding both the x and y coordinates individually and dividing them by two u get the mid point

answer:

4.6 kilograms of pears

question:

I don't know if you meant 2.5 or 25 but ill assume you meant 2.5

Answer:

ANS:- Y =4

Step-by-step explanation:

x =20 half x =10

y = 8 half y = 4

Answer:

-2

Step-by-step explanation:

To find the slope we use the formula

m = (y2-y1)/(x2-x1)

   = (-3-1)/(0- -2)

  = -4 / (+2)

  = -2

Answer:1 is the GCF of 34 and 11

Correct option is A,  f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.

The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.

In the picture below you can see the blue line is the graph of the function

f(x) = log(5x) and the green line is the graph of the function

g(x) = log[5(x + 4)] - 2

Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.

We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.

The function shifts to the left when you add a number to x;

The function moves to the right when you remove a number from x;

The function increases when you add a number to it;

The function decreases when you take a number away from it.

Then we get a function g(x) = log[5 (x + 4)] - 2.

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Answer:

the only correct statement is B: the upper quartile value is 96.

Step-by-step explanation:

First, let's put the temperatures in order: 76, 80, 82, 89, 89, 91, 96, 98, 98, 100.

A. To find the median, we need to find the middle value in the ordered set of data. Since there are an even number of values, we take the average of the two middle values. The two middle values are 89 and 91, so the median is (89+91)/2 = 90. Therefore, statement A is false.

B. To find the upper quartile, we need to find the value that separates the highest 25% of the data from the rest. Since there are 10 values, the upper quartile is the 7th value when the data is ordered. The 7th value is 96, so statement B is true.

C. To find the lower quartile, we need to find the value that separates the lowest 25% of the data from the rest. Since there are 10 values, the lower quartile is the 3rd value when the data is ordered. The 3rd value is 82, so statement C is false.

D. The interquartile range is the difference between the upper quartile and the lower quartile. From our previous calculations, we know that the upper quartile is 96 and the lower quartile is 82. Therefore, the interquartile range is 96-82 = 14. Statement D is false.

Therefore, the only correct statement is B: the upper quartile value is 96.

Answer:

14 miles

Step-by-step explanation:

Length of the trail = 70 miles

Let x miles be the distance that Alan has already covered from the beginning of the trial

Then the remaining distance to the end of the trail = 70 - x miles

We are given that 4 times the remaining distance is the distance already covered

Therefore x = 4(70-x)

x = 4 · 70 - 4x

x = 280 - 4x

x + 4x = 280

5x = 280

x = 280/5

or

x = 56

So distance covered = 56 miles

The distance that Alan still has to hike = 70 - 56 = 14 miles

So, the distance Alane still has to hike is the entire length of the trail, which is: y = 70 miles.

Let's start by assigning variables to the unknowns in the problem.

Let's call the distance Alan has hiked "x" and the distance he has left to hike "y". We know that the trail is 70 miles long, so we can set up an equation:

x + y = 70

We also know that after a few days, Alan's distance from the beginning of the trail (let's call that distance "d") is four times as far as he is from the end of the trail (which is 70 - d). So we can set up another equation:

d = 4(70 - d)

Simplifying this equation, we get:

d = 280 - 4d
5d = 280
d = 56

So Alan is 56 miles from the beginning of the trail and 14 miles from the end of the trail. Now we can go back to our first equation and solve for y:

x + y = 70
x + 56 + 14 = 70
x + 70 = 70
x = 0

So Alan has not hiked any distance yet, and the distance he still has to hike is the entire length of the trail, which is:

y = 70 miles

Therefore, the distance Alan still has to hike is 70 miles.

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Answer:

x = 39 degree

Step-by-step explanation:

Check below for steps.    

Answer:

x= -8, 9 1/4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

The observed frequencies are variables as they vary from sample to sample. The expected frequencies are not variables as they are determined by the sample size and the distribution in the null hypothesis.

The observed frequencies are variables because they can vary from sample to sample.

In statistical analysis, observed frequencies represent the actual frequencies or counts of events or occurrences observed in a sample.

These frequencies are obtained through data collection and can differ between different samples due to random sampling variability.

Therefore, the observed frequencies are considered as variables that can change from one sample to another.

On the other hand, the expected frequencies are not variables. They are determined by the sample size and the distribution assumed in the null hypothesis.

Expected frequencies are the frequencies that would be expected under the assumption of a particular statistical model or hypothesis.

These frequencies are calculated based on the expected proportions or probabilities predicted by the null hypothesis and the sample size.

Once the sample size and the distribution in the null hypothesis are determined, the expected frequencies become fixed values and do not vary across different samples.

They provide a baseline against which the observed frequencies can be compared to assess the agreement between the observed data and the expected distribution.

In summary, the observed frequencies are considered variables as they vary from sample to sample, while the expected frequencies are not variables but are determined by the sample size and the distribution assumed in the null hypothesis.

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The equations that are true if x = 8 are:

B. x + 11.5 = 20.5

C. 23.42 - x = 15.42

D. 11x = 88

In equation B, x is equal to 8, so 8 + 11.5 = 20.5, which is a true statement. In equation C, x is also equal to 8, so 23.42 - 8 = 15.42, which is a true statement. In equation D, x is equal to 8, so 11*8 = 88, which is a true statement.

Equation A is not true because the expression 0^2/x is undefined, since division by zero is not allowed. Equation E is not true because 40 ÷ 8 is equal to 5, not 6.

Answer:

whats f

Step-by-step explanation:

By using Disk Method, the integral that gives the volume of the solid formed by revolving the region about the y-axis of y = x^(11/12) y=1, x=0 is V = π∫(0 to 1) y^(24/11) dy = 11π/35. The option is D) is correct.

To use the Disk Method to find the volume of the solid formed by revolving the region about the y-axis, we can imagine slicing the solid into thin disks perpendicular to the y-axis, with each disk having thickness dy. The total volume of the solid can be found by summing up the volumes of all such disks from y=0 to y=1.

The equation of the curve is y = x^(11/12), so we can solve for x as x = y^(12/11). The region is bounded by y=0, y=1 and x=0.

Now, consider a thin disk located at a distance y from the y-axis. The radius of the disk is given by the distance between the y-axis and the curve at y, which is simply x = y^(12/11). Thus, the radius of the disk is r(y) = y^(12/11). The thickness of the disk is dy.

The volume of the disk is given by the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the disk and h is its thickness. Substituting in the values we have for r(y) and dy, we get:

dV = π(y^(12/11))^2 dy

Integrating this expression over the range of y from y=0 to y=1 gives us the total volume of the solid:

V = ∫(0 to 1) π(y^(12/11))^2 dy

Simplifying the integrand, we have:

V = π∫(0 to 1) y^(24/11) dy

Using the power rule of integration, we have:

V = π[(11/35) y^(35/11)](0 to 1)

Evaluating this expression at the limits of integration, we get:

V = π[(11/35) - 0] = π(11/35) = 11π/35

Therefore, the volume of the solid formed by revolving the region about the y-axis is 11π/35 cubic units. The correct answer is D).

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_____The given question is incomplete, the complete question is given below:

Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. y = x^(11/12) y=1, x=0

A)  V = π∫(0 to 1) y^(11/12) dy =  11π/70

B)  V = π∫(0 to 1) y^(24/11) dy =  11π/70

C)  V = π∫(0 to 1) y^(12/11) dy =  11π/35

D) V = π∫(0 to 1) y^(24/11) dy = 11π/35

Answer:

13.7142857143 Books a year

Step-by-step explanation:

64/4.66 repeating=13.7142857143

The greatest possible third term is when the sum of four positive integers that form an arithmetic sequence is $46 is 15

The sum of the first n terms of an arithmetical sequence is given by

n/2[2a +(n-1 d])

Where a is the first term and d is the common difference. In this situation, n=4 and the sum is 46, substituting these values,

4a +6d = 46

2a+3d=23, ……………………………………………………………..1

The nth term is given by a+(n-1)d, and we are looking at the 3rd term

so: a +2d must be a maximum

from (1): 3d=23–2a as all terms are integers, 23–2a must divisible by 3

This means that that a can only be 1, 4, 10or giving values of d, as 7, 5,1 respectively and the third term can be : 15, 14, 12 among these 15 is the largest.

Therefore if the sum of four positive integers that form an arithmetic sequence is $46$. of all such possible sequences, then the greatest possible third term will be 15

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Water fills the cone to a capacity of 75%. 0.75 is the decimal equivalent of 75%.

Find the whole amount of what you're looking for to get a percentage of.

To calculate the percentage, divide the number.

Add 100 to the value.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, 35% is equal to the fraction 0.35 or the decimal 0.35.

The value of the number out of 100 is the proportion of the number. For instance, there are 26 females and 24 boys in a class. As a result, 52 out of 100 students in the class are females, or 52% of the class.

The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Percentages.

According to our question-

volume of water  =  (3/4) * (1/3)(a)(h)

volume of water  =  (3/4) * volume of cone

volume of water  =  75% of the volume of cone

75% of the cone's volume is filled with water.

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The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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I'm not sure if it is dynamic or static equilibrium but if I had to choose I'd say dynamic

Answer:

It is in static equilibrium with a net force of 0 N.

Step-by-step explanation:

EDGE21

Answer:

3x+3y and distributive property

Step-by-step explanation:

It is given that

Gretchen buys three bags of apples = 3X

Hayley buys three bunches of bananas = 3Y

As it is also mentioned that it first it is multiplied and then it is added

So, the expression for determining the total number of fruit pieces is

3X + 3Y

And, this expression denotes the distributive property in which we multiplied the each variable and then added it

We can see that the safety rail is a quarter of circle with radius equals 10yd. So it's lenght is:

ANSWER: p^2 - 2p + 2

Step-by-step explanation:

Total age of three = p + p-2 + (p-2)^2

= 2p-2 + p^2-4p+4

= p^2 - 2p + 2