Find the area of the rectangle graphed below.
B
1
-2
Area
square units

Answer:

y=28

Step-by-step explanation:

Answer:

Yes, because 50x20= 5x10x2x10= (5x2)x(10x10)

So you can multiply 5x2 first and than add the zeros

The linear equation with slope 1 and y-intercept -7 is y = x - 7.

The slope and y-intercept of y = -3x are -3 and 0 respectively.

The slope and y-intercept of 2x + 5y = 20 are -2/5 and 4 respectively.

The slope and y-intercept of x -2y = 2 are 1/2 and -1 respectively.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The slope y-intercept form of a linear equation is given as y = mx + c where m is the slope while c is the y-intercept.

06)

As per the given,

Slope m = 1

y-intercept = -7

So, y = (1)x - 7

y = x - 7.

Hence "The linear equation with slope 1 and y-intercept -7 is y = x - 7".

07)

As per the given equation,y = -3x

Compare with y = mx + c.

Slope m = -3 and y-intercept = 0.

Hence "The slope and y-intercept of y = -3x are -3 and 0 respectively".

08)

As per the given equation,2x + 5y = 20

5y = 20 - 2x

y = (-2/5)x + 4

Compare with y = mx + c.

Slope m = -2/5 and y-intercept = 4.

Hence "The slope and y-intercept of 2x + 5y = 20 are -2/5 and 4 respectively".

09)

As per the given equation,x -2y = 2

x - 2 = 2y

y = (1/2)x - 1

Compare with y = mx + c.

Slope m = 1/2 and y-intercept = -1.

Hence "The slope and y-intercept of x -2y = 2 are 1/2 and -1 respectively.".

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The likelihood of observing a similar difference between treatment and control groups in a different random sample depends on several factors.

Including the size of the effect being studied, the variability within the population, and the sample size.

In statistical terms, the likelihood of observing a similar difference can be quantified using confidence intervals and hypothesis testing. Confidence intervals provide a range of values within which the true population difference is likely to fall, while hypothesis testing helps determine the statistical significance of the observed difference.

If the effect size is large and consistent within the population, and the variability is relatively small, then it is more likely that a different random sample would also exhibit a similar difference between treatment and control groups. In this case, the observed difference is likely to be robust and replicable.

However, if the effect size is small or the variability within the population is large, then the likelihood of observing a similar difference in a different random sample decreases. The observed difference may be more susceptible to sampling variability, and the results may not be as generalizable to the entire population.

To increase the likelihood of replicating the observed difference, researchers can use larger sample sizes, apply rigorous sampling techniques, and employ randomization methods to minimize bias. These practices help reduce the impact of random variation and increase the reliability of the results.

It's important to note that statistical inference cannot provide definitive answers about the likelihood of observing a similar difference in different samples. However, following robust research practices and ensuring appropriate sample sizes can increase the chances of obtaining consistent and reliable results across different random samples.

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Answer:

Step-by-step explanation:

4 g.

c=42

a=b=d

a+b+42=180

a+a=180-42

2a=138

a=138/2=69

a=69

b=69

c=42

d=69

5a.

a=30

angle O=180-(a+30)=180-(30+30)=180-60=120°

d=80

angle O=180-(d+80))=180-(80+80)=180-160=20°

central angle O of middle triangle=180-(120+20)=180-140=40°

b=c

b+c+40=180

b+b=180-40

2b=140

b=140/2=70

b=70°

c=70°

The equation of the ellipse is ((x + 1)^2) / 16 + ((y - 1)^2) / 9 = 1.

To write the equation of an ellipse, we need the coordinates of the center, the lengths of the major and minor axes, and the orientation of the ellipse. Given the endpoints of the major and minor axes, we can determine the center and lengths.

The center of the ellipse is the midpoint of the major axis, which is (-1, (5 + (-3)) / 2) = (-1, 1).

The length of the major axis is the distance between the endpoints, which is 5 - (-3) = 8.

The length of the minor axis is the distance between the endpoints, which is 2 - (-4) = 6.

Since the minor axis is horizontal, and the major axis is vertical, we have a vertical ellipse.

Now, we can write the equation of the ellipse in standard form:

((x - h)^2) / (a^2) + ((y - k)^2) / (b^2) = 1

where (h, k) is the center, and a and b are the lengths of the major and minor axes, respectively.

Plugging in the values we found, the equation of the ellipse is:

((x - (-1))^2) / (4^2) + ((y - 1)^2) / (3^2) = 1

Simplifying, the equation becomes:

(x + 1)^2 / 16 + (y - 1)^2 / 9 = 1

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

a) Domain: All real numbers

b) Domain: -4<x<=4

a) Range: All real numbers greater than 2

b) Range: 0<=y<=4

Step-by-step explanation:

Domain is the possible x values

Range is the possible y values

Open circle means not included

Close circle means included

Answer: a) Domain: x = (-∞, ∞)              b) Domain x = (-4, 4]

                  Range y = [2, ∞)                        Range y = [0, 4]

Step-by-step explanation:

Domain represents the x-values. Range represents the y-values.

a) the graph doesn't end so every x-value is possible

  x = All Real Numbers       x = (-∞, ∞)

The lowest y-value (minimum) is at y = 2.  All other y-values are greater than that. y ≥ 2      y = [2, ∞)

b) The graph starts at x = -4 with an open dot so it doesn't include -4.  It ends at x = +4 with a closed dot so it does include +4.

     -4 < x ≤ 4           x = (-4, 4]

The lowest y-value (minimum) is at y = 0.  All other y-values are greater than that up to y = 4. 0 ≤ y ≤ 4      y = [0, 4]

Answer:

4,-4

Step-by-step explanation:

There are five sign changes, so there are five or, counting down in pairs, three or one negative solutions. Then my answer is:There are two or zero positive solutions, and five, three, or one negative solutions.In the above example, the maximum number of positive solutions (two) and the maximum number of negative solutions (five) added up to the leading degree (seven). It will always be true that the sum of the possible numbers of positive and negative solutions will be equal to the degree of the polynomial, or two less, or four less, or....This can be helpful for checking your work. For instance, if I had come up with a maximum answer of "two" for the possible positive solutions in the above example but had come up with only, say, "four" for the possible negative solutions, then I would have known that I had made a mistake somewhere, because 2 + 4 does not equal 7, or 5, or 3, or 1

There are four, two, or zero positive roots, and zero negative roots.

Descartes' Rule of Signs can be useful for helping you figure out (if you don't have a graphing calculator that can show you) where to look for the zeroes of a polynomial. For instance, suppose the Rational Roots Test gives you a long list of potential zeroes, you've found one negative zero, and the Rule of Signs says that there is at most one negative root. Then you know that you've found every possible negative root (rational or otherwise), so you should now start looking at potential positive roots.Similarly, if you've found, say, two positive solutions, and the Rule of Signs says that you should have, say, five or three or one positive solutions, then you know that, since you've found two, there is at least one more (to take you up to three), and maybe three more (to take you up to five), so you should keep looking for a positive solution.

Answer:

be more clear and have no spelling errors

Step-by-step explanation:

be more clear next time

Answer:

150 for lower seats and 200 for higher seats

Step-by-step explanation:

Need two equations and then solve using substitution method:

Equation 1 for tickets sold:

$35x + $25y = $10,250

Equation 2 for quantity (number #) of tickets sold:

x + y = 350

Use substitution method:

y = 350 - x

35x + 25 (350 - x) = $10,250

35x + $8750 - 25x = $10,250

10x + $8750 = $10,250

        - $8,750       -$8,750

10x = 1,500

x = 150

y = 350 - 150

y = 200

Check the answers:

$35 (150) + $25 (200) =

$5,250 + $5,000 = $10,250

Answer:

Complementary

Step-by-step explanation:

When 2 things are complementary, they take up all given space.

When it's unlikely, it isn't all probability

Independent means they don't affect each other.

Disjoint means mutually exclusive.

Answer:

40

Step-by-step explanation:

If the student ran 4 miles for 5 days multiply 4 by 5 and you get 20. Then just do the same thing for 5 more days. Also, 20.  Then add 20 + 20 and you get 40

Answer:

(0,2)

Step-by-step explanation:

image attached

Answer:

the answer is 9.5 (B)

Step-by-step explanation:

Answer:

2+4f

Step-by-step explanation:

Distribute:

2(1+2f)= 2+4f

Hope this helps! :)

Answer:

what graph

Step-by-step explanation:

Explanation

to solve for x, isolate it

so

Step 1

Answer:

the mean is 53 the median is 54 the mode is none

Answer:

K 110

Step-by-step explanation:

Find the amount to be spent for each item/service

18% of $400= $72

20% of $400= $80

35% of $400= $140

Now, add all his expenditures and subtract it from his income

$400 - ($72+$80+$140) = $400 - $290 = $110

Answer:

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Step-by-step explanation:

Answer:

The initial number of bacteria is 250 and the colony is increasing in size.

Step-by-step explanation:

Answer:

In decimal form, it would be 1.75 minus 1.5

Step-by-step explanation:

The answer would be 0.25

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

A function is an expression that show the relationship between two or more numbers and variables.

Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

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Answer: D

Step-by-step explanation:

A function is an expression that show the relationship between two or more numbers and variables.

Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

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Answer:20,24,28,32

Step-by-step explanation:

Answer:

20, 24, 28, 32

Step-by-step explanation:

The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Answer:distributive

Step-by-step explanation:

Based on the analyzed data from more than 5,000 adults, researchers found that the more diet sodas a person drank, the greater the person's weight gain.

But it is not true that drinking diet soda causes weight gain.

The causal link between drinking diet soda and weight gain is not established. People who drink diet soda may be consuming more calories and sugars from other sources or may be leading an unhealthy lifestyle that results in weight gain.

the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

Therefore, it can be concluded that drinking diet soda does not directly cause weight gain. Instead, a healthy lifestyle and balance between calorie intake and energy expenditure is necessary to maintain a healthy weight.

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