Answer: PROFITS After Take Two began renting DVDs at their video store, business soared. Between 2000 and 2005, profits increased at an average rate of $9,000 per year. Total profits in 2005 were $45,000. If profits continue to increase at the same rate, what will the total profit be in ...
Write down the inequality described by "half of x is no more than six", and solve it
Solve the radical equation \(\sqrt{x-4} - 1 = 5\)
Evaluate the function for the given domain. f(1) = -2x + 1
What is the surface area of the right cylinder below?
10
18
Step-by-step explanation:
the answer is 3.142
\(3.142 \times 20 \times 18 \\ 2 = 1131.2 \times 3.142 \times 10^{2} = 628.4 \\ \\ = 1759.52\)
LEGIT BEG PLEASE HELP
Answer:
help with what problem?
Step-by-step explanation:
Answer:
Sure
Step-by-step explanation:
what is the standard deviation of 0,0,1,1,1,2,2,3,5
Based on the numbers given in the distribution, the standard deviation can be found to be 1.49
How to find the standard deviation?To find the standard deviation, you first have to find the mean of the distribution:
= (0 + 0 + 1 + 1 + 1 + 2 + 2 + 3 + 5 ) / 9
= 15 / 9
= 1.67
You can then find the variance using financial calculators to be:
= 2.2222222
The standard deviation is:
= √variance
= √2.2222222
= 1.49
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2.25x = 1.5x + 6
What is the value of x
Answer:
x=8
Step-by-step explanation:
2.25x=1.5x+6
-1.5x -1.5x
0.75x=6
3/4x=6
x=6*4/3
x=24/3
x=8
Answer:
8
Step-by-step explanation:
Look at the attachment
A boat is heading towards a lighthouse, where
Jeriel is watching from a vertical distance of 113
feet above the water. Jeriel measures an angle of
depression to the boat at point A to be 8°. At
some later time, Jeriel takes another
measurement and finds the angle of depression
to the boat (now at point B) to be 52°. Find the
distance from point A to point B. Round your
answer to the nearest tenth of a foot if necessary.
Use The Alternate Interior Angles Theorem diagram to answer the question. Give the missing reason in this proof for the letter given
FILL IN THE BLANK:
a. (1 point)
b. (1 point)
c. (1 point)
The missing reasons in the proof using the Alternate Interior Angles Theorem diagram that is given are:
a. Corresponding angles
b. Vertical Angles, and
c. Alternate interior angles
Two angles lying opposite each other along a transversal, and are within the two lines crossed by the transversal are referred to as alternate interior angles.According to the Alternate Interior Angles Theorem, the two alternate interior angles are congruent to each other.Let's state out our proof using the image given:Statement 1: line l is parallel to line m
Reason: Given
Statement 2: \(\angle 2 \cong \angle 6\)
Reason: Corresponding Angles (both angles occupy the same corner, hence they correspond to each other. Corresponding angles have the same measure).
Statement 3: \(\angle 4 \cong \angle 2\)
Reason: Vertical angles (both angles are directly opposite each other as they share the same point, which makes them vertical angles. Vertical angles have equal measure).
Statement 4: \(\angle 6\cong \angle 4\)
Reason: Alternate Interior Angles (applying the transitive property which says if a = b, and b = c, then a = c, therefore, since \(\angle 2 \cong \angle 6, $ and $ \angle 4 \cong \angle 2, $ then $ \angle 6 \cong \angle 4\))
In conclusion, the missing reasons in the proof using the Alternate Interior Angles Theorem diagram that is given are:
a. Corresponding angles
b. Vertical Angles, and
c. Alternate interior angles
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The manager of a large manufacturing company wants to estimate the proportion of items that have been
manufactured with defects. How many items are required for a random sample to obtain a margin of error of at most
0.04 with 90% confidence?
Find the z-table here.
• 65
• 423
• 601
• 1,037
Using the z-distribution, as we are working with a proportion, it is found that 423 items are required.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In this problem, we have a 90% confidence level, hence\(\alpha = 0.9\), z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.
The margin of error is of M = 0.04, there is no prior estimate for the proportion, hence \(\pi = 0.5\), then we solve for n to find the minimum sample size.
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 1.645\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.04\sqrt{n} = 1.645(0.5)\)
\(\sqrt{n} = \frac{1.645(0.5)}{0.04}\)
\((\sqrt{n})^2 = \left(\frac{1.645(0.5)}{0.04}\right)^2\)
\(n = 422.8\)
Rounding up, 423 items are required.
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which graph of ordered pais shows a proportional relationship? i need help lol
if a store sells a packet of gum for R5.50 what will the cost for the gum be if you add the vat
Answer:
Step-by-step explanation:
It can be anything according to your value added tax.
Find values of p for which the integral
∫10xpln(x)dx
converges and calculate the value of the integral for these values of p.
The integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.
To determine the values of p for which the integral ∫10x^p * ln(x) dx converges, we need to consider the convergence of the integrand for different values of p. The integral will converge if the integrand is well-behaved and does not exhibit any divergence.
Let's analyze the integrand in two separate cases:
Case 1: p ≠ -1
When p ≠ -1, the integrand is well-defined for all x > 0. We can proceed with evaluating the integral.
∫10x^p * ln(x) dx = [x^(p+1) * ln(x)] / (p+1) + C
To calculate the value of the integral for a specific value of p, we can substitute the limits of integration into the antiderivative expression and evaluate the resulting expression.
Case 2: p = -1
When p = -1, the integrand becomes 10x^(-1) * ln(x), which poses a potential issue at x = 0. To determine if the integral converges for this case, we need to examine the behavior of the integrand near x = 0.
As x approaches 0, the expression ln(x) approaches negative infinity, which would cause the integrand to diverge. Therefore, for p = -1, the integral does not converge.
In summary, the integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.
Please note that when evaluating the definite integral for specific limits of integration, you should substitute the limits into the antiderivative expression and then calculate the difference of the resulting expressions evaluated at the upper and lower limits.
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Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?
Answer:
D) The difference has 4 terms and a degree of 7.
Step-by-step explanation:
EDG2021
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 29 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile?
The shorter side of the tile is 12.5 inches and the longer side is 15 inches.
(a) Sketch two approximate solutions of the differential equation on the slope field, one of which passes through the indicated point.(b) Use integration to find the particular solution of the differential equation and use a graphing utility to graph the solution. Compare the result with the sketches in part (a).
dydx=cosx,(0,4)
dydx=cosx,(0,4)
We can make use of a slope field to sketch the two approximate solutions of the differential equation. The slope field for the differential equation is dy/dx.
a) We will now mark the point (0,4) on the slope field as shown in the image below.
Now we will sketch two approximate solutions of the differential equation on the slope field, one of which passes through the indicated point (0, 4).Solution 1: We will begin at the point (0, 4) and move along the slope lines to obtain the first solution. This first solution is shown in blue in the image below,
Solution 2: For the second solution, we will begin at the point (0,4) and move along the slope lines in the opposite direction to obtain the second solution. This second solution is shown in red in the image below.
We have thus sketched two approximate solutions of the differential equation on the slope field, one of which passes through the indicated point (0,4).b) We can make use of integration to find the particular solution of the differential equation dy/dx = cos(x). We will begin by integrating both sides with respect to X. We get: y = sin(x) + CTo find the value of C, we will make use of the initial condition (0,4).Substituting x = 0 and y = 4, we get: 4 = sin(0) + C4 = 0 + CC = 4
Therefore, the particular solution is: y = sin(x) + 4
We will now use a graphing utility to graph the solution.Below is the graph of the solution: Graph of y = sin(x) + 4
We can compare this graph of the particular solution with the sketches in part (a).
The graph of the solution matches the first solution in blue.
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3x-100 what does x equal?
Refer to Table 9-8. Suppose that the data in the table above reflect the price levels in the economy. What is the inflation rate in between 2017 and 2018
The inflation rate between 2017 and 2018 is 2.86%.
What is the inflation rate?
Inflation rate is used to determine the rate at which the general price levels in an economy is increasing with the passage of time.
The inflation rate = (2018 CPI / 2017 CPI) - 1
(180 / 175) - 1 = 0.0286 = 2.86%
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Convert the percent to a fraction.
(remember to fully simplify)
100%
Answer:
1/1 10/10 2/2 100/100
Step-by-step explanation:
The examples are infinite.
If 2x-1 = 13, evaluate the expression below. -x^2-4x
Explain please.
Answer: -77
Step-by-step explanation:
2x - 1 = 13
Add 1 on both sides
2x = 14
x = 7
Substitute x to 7
-(7)^2 -4(7)
Solve
-49 - 28 = -77
Answer:
-77
Step-by-step explanation:
-x^2-4x to \(-7^{2}\)- ( 4 × 7)
-7^2 - ( 4 × 7)
-49 - ( 4 × 7)
-49 -28
=
-77
multiples of 7 between 50 and 80
Answer:
Step-by-step explanation:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ... 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ... 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ... 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Hayden bought a necklace with a gemstone in the shape of a triangular prism. The base is an equilateral triangle measuring 2 centimeters on each side and has a base height of 1.7 centimeters. The height of the gemstone is 4 centimeters. Find the total surface area of the gemstone.
Answer:78
Step-by-step explanation:
A box has 30 pencils in it.the probability of picking a red pencil is 1/6.How many red pencils are in the box
Answer:
\(\huge\boxed{\sf 5\ red\ pencils}\)
Step-by-step explanation:
Total pencils = 30
Probability of picking a red = 1/6
Red pencils in the box = probability × total pencils
= 1/6 × 30
= 5 red pencils
So, there are 5 red pencils in the box.
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807How do you find the scale factor of a dilation with a center of dilation?
The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).
What is dilation?
A dilation is a transformation that creates an image that has the same shape as the original but is larger.
• An enlargement is a dilation that produces a larger image.
• A reduction is a dilation that produces a smaller image.
• A dilation expands or contracts the original figure.
A dilation is a stretch or a shrink in the size and location of a figure or point.
The scale factor in a dilation is the amount by which the figure is stretched or shrunk.
The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,
k, the location of the center of dilation, \((x_0,y_0)\) is
\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)
Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).
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Please help me with this. Ill give you a brainliest.
Answer:
7. Circumcenter is (5,8)
8. Circumcenter= (-4,-5)
9. Circumcenter= (-4,9)
10. Circumcenter= (5.5, -5.5)
Directions: Perform Hypothesis Testing The STEM students of a particular school are interested to know if the average amount of alkaline water placed in the bottles by a local manufacturer is less than 250 ml. Test using 0.01 level of significance if sample of 100 bottles are randomly selected and found to have an average amount of 241 ml. with a standard deviation of 1.02 ml.
Based on the given data and conducting a one-sample z-test with a significance level of 0.01, we reject the null hypothesis. There is evidence to suggest that the average amount of alkaline water placed in the bottles is less than 250 ml.
To perform the hypothesis test, we will follow the steps below:
State the hypotheses.
The null hypothesis (H₀): The average amount of alkaline water placed in the bottles is equal to or greater than 250 ml. (μ ≥ 250)
The alternative hypothesis (H₁): The average amount of alkaline water placed in the bottles is less than 250 ml. (μ < 250)
Set the significance level.
The significance level (α) is given as 0.01.
Compute the test statistic.
Since the sample size (n = 100) is large, we can use the z-test statistic. The formula for the z-test statistic is:
z = (\(\bar X\) - μ) / (σ / √n)
where \(\bar X\) is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, \(\bar X\) = 241 ml, μ = 250 ml, σ = 1.02 ml, and n = 100.
z = (241 - 250) / (1.02 / √100)
z = -9 / (1.02 / 10)
z = -88.24
Determine the critical value.
Since the alternative hypothesis is one-tailed (less than), we need to find the critical value for a one-tailed test at a significance level of 0.01. Looking up the z-table, the critical value for a one-tailed test with α = 0.01 is approximately -2.33.
Make a decision.
Since the calculated test statistic (-88.24) is smaller than the critical value (-2.33), we reject the null hypothesis.
State the conclusion.
Based on the sample data, there is sufficient evidence to conclude that the average amount of alkaline water placed in the bottles by the local manufacturer is less than 250 ml, at a significance level of 0.01.
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A park recorded 3.5x10^4 visitors in 1936 and 2.2x10^5 visitors in 1986. How many more people visited the park in 1986 than in 1936
Simplify (w^5/x^3)^8
Given the expression
\((\frac{w^5}{x^3})^8\)Use the facts that
\((\frac{a}{b})^n=\frac{a^n}{b^n},(a^m)^n=a^{mn}\)So, the expression can be simplified as:
\(\begin{gathered} \frac{(w^5)^8}{(x^3)^8}=\frac{w^{5\cdot8}}{x^{3\cdot8}} \\ =\frac{w^{40}}{x^{24}} \end{gathered}\)Behaviourism approach suggests that there are a number of ways people learn new things and new behaviour.
(a) Explain FOUR techniques in teaching new behaviours and give an example for each. Justify your answers with examples
. (b) Discuss FIVE steps to use praise effectively in the classroom. Justify your answers with examples.
(a) Four techniques in teaching new behaviors are as follows:
1. Shaping: Shaping is a method of teaching new behavior by reinforcing successive approximations to it. For example, a teacher trains a dog to fetch a ball by rewarding the dog for getting closer and closer to the ball. The teacher would reward the dog for looking at the ball, then for moving toward it, and finally for touching it.
2. Modelling: Modelling is the process of learning by observing others. For example, a child learns to say "please" and "thank you" by observing their parents' behavior.
3. Chaining: Chaining involves breaking a complex behavior into smaller, more manageable parts and teaching each part separately. For example, a teacher might teach a child to tie their shoes by breaking the task into smaller steps, such as crossing the laces and making a knot.
4. Punishment: Punishment is used to decrease the likelihood of a behavior occurring again in the future. For example, if a student talks during class, the teacher might give them detention as punishment. Punishment can be an effective tool in teaching new behaviors if used appropriately.
(b) Five steps to use praise effectively in the classroom are as follows:
1. Be specific: When praising a student, be specific about what they did well. For example, "I really liked the way you explained that concept" is more effective than "good job."
2. Be genuine: Praise should be sincere and genuine. If a student senses that the praise is insincere, it can have the opposite effect and decrease motivation.
3. Be timely: Praise should be given immediately after the behavior occurs. This helps the student connect the behavior with the praise.
4. Be appropriate: Praise should be appropriate to the situation. Overpraising can have a negative effect on motivation.
5. Be consistent: Praise should be given consistently to all students who exhibit the desired behavior. Inconsistent praise can lead to confusion and decreased motivation. For example, a teacher might praise a student for raising their hand during class and say, "Thank you for raising your hand, that was very respectful."
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Peter took one of his friends out to lunch. The lunches cost $100 plus he
paid 12% in sales tax. If Peter left a 18% tip on the meal cost ($100), how
much did he pay in total, including sales tax and tip?
Answer:
Tax = $12 Tip = $18 Total Cost = $130
Step-by-step explanation:
tax = tax percentage x amount
0.12 x 100 = 12
tip = tip percentage x amount
0.18 x 100 = 18
The Total Cost
total cost = cost + tax + tip
100 + 12 + 18
Add them up and it would be
$130