Given: the three points are plotted on graph.
For the first point it is observed that,
For the x =3/2 the value is y=6/2
For second point ,
For x= 9/2 the y value is y=12/2
For the third point ,
For x= 15/2 the y value is y=18/2
According to obtained information it matched to option J)
Answer: Option J)
find the midpoint m of z_(1)=(8+5i) and z_(2)=(12+3i)
Answer 3453
Step-by-step explanation:
Solve for tt and simplify your answer.
-\frac{5}{4}t=
−
4
5
t=
\,\,9
9
Answer:
81?
Step-by-step explanation:
-
frac
5
4
t
= -4 ×
5
×
xt =
frac
(5
4
t)=-4
x 5 x x t
→ -
9×9
=
81
i inserted a picture of the question 6, i can give you the answer to the previous question if it helps
For
\(w^2-3w=350\)To be a perfect square trinomial, we need to find a such that
\(\begin{gathered} (w-a)^2=w^2-3w+b \\ b\to\text{constant} \end{gathered}\)Thus,
\((w-a)^2=w^2-2aw+a^2\)Then,
\(\begin{gathered} \Rightarrow w^2-2aw+a^2=w^2-3w+b \\ \Rightarrow-2a=-3 \\ \Rightarrow a=\frac{3}{2} \end{gathered}\)Furthermore,
\(\begin{gathered} \Rightarrow a^2=b \\ \Rightarrow\frac{9}{4}=b \\ \end{gathered}\)We need to add 9/4 to both sides of the equation, resulting in
\(\begin{gathered} w^2-3w+\frac{9}{4}=350+\frac{9}{4} \\ \Rightarrow(w-\frac{3}{2})^2=\frac{1409}{4} \end{gathered}\)Washington is 44 mi south of lawrence. midland is 63 mi east of lawrence. how far apart are washington and midland? round your answer to the nearest mile. responses 19 mi 19 mi 27 mi 27 mi 77 mi 77 mi 107 mi
Answer:
77 miles
Step-by-step explanation:
Make a diagram like in the attached image.
Solve using the Pythagorean theorem:
\(44^2 + 63^2 = d^2\)
\(1936 + 3969 = d^2\)
\(d^2 = 5905\)
\(\sqrt{d^2} = \sqrt{5905}\)
\(d = \sqrt{5905}\)
d ≈ 77 miles
to determine the impact of the educational opportunity programs on sdsu freshman, a researcher obtains a list of those students enrolled in the eop and randomly selects 100 of them using a random number generator.
That method is effective for assessing how educational opportunity programmes affect SDSU freshman.
The researcher can acquire information to evaluate the effectiveness of the programme by getting a list of students enrolled in the EOP and randomly selecting a sample of 100 students.
It's crucial to take into account a few things in order to assure the study's validity:
Including a control group of SDSU freshman who are not enrolled in the EOP would be advantageous. Data collection: The researcher needs to compile pertinent information on a range of topics, including academic performance, student satisfaction, retention rates, graduation rates, and graduation rates. Follow-up: To monitor the progress of the chosen students and gauge their experiences during their time at SDSU, the study should take into consideration conducting follow-up surveys or interviews with them on a regular basis.Thus, by taking into account these elements, the researcher can add to the body of knowledge on the efficacy of such program and gain insightful information about how educational opportunity program affect SDSU freshmen.
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The required answer is the use of a simple random sample in this scenario allows the researcher to obtain a representative subset of EOP students and examine the impact of the program on SDSU freshmen.
A simple random sample involves randomly selecting individuals from a population in such a way that each individual has an equal chance of being chosen. In this case, the researcher obtained a list of students enrolled in the EOP program and used a random number generator to select 100 students. By ensuring that each student had an equal chance of being selected, the researcher obtained a simple random sample.
The use of a simple random sample is beneficial as it helps to reduce bias and increase the representativeness of the sample. By randomly selecting students from the EOP program, the researcher can gather data that is likely to be more reflective of the overall EOP population at SDSU.
The data collected from the sample can then be analyzed to draw conclusions about the impact of the EOP program on SDSU freshmen. The findings can provide valuable insights into the effectiveness of the program and help guide future improvements and decision-making.
It is important to note that while a simple random sample is a widely used sampling method, it may not always be feasible or appropriate for every research study. Other sampling methods, such as stratified sampling or cluster sampling, may be more suitable depending on the research objectives and constraints.
Therefore, the use of a simple random sample in this scenario allows the researcher to obtain a representative subset of EOP students and examine the impact of the program on SDSU freshmen.
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3x3x3x3x2x2. Complete the expression using exponents
Answer:
3 to the power of 4 and 2 squared
Step-by-step explanation:
count the amount of numbers and put the little number in top right (exponent)
Answer:
3x3x3x3x2x2 = (3x3x3x3) x (2x2) = 3^4 x 2^2
Let me know if this helps!
Suggest regular languages L1 and L2 over {0,1} such that 1. L1⊈L2, 2. L2L1, and 3. (L1∪L2)∗=L1∗∪L2∗ (b) Prove or disprove whether condition 3 above holds for any regular languages, L1 and L2.
a). We have proved all the given conditions.
b). It is true that condition 3 holds for all regular languages L1 and L2.
(a) Regular languages L1 and L2 can be suggested as follows:
Let \(L_1={0^{(n+1)} | n\geq 0}\)
and
\(L_2={1^{(n+1)} | n\geq 0}\)
We have to prove three conditions:1. L1 ⊈ L2:
The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.
Therefore, L1 and L2 are distinct.2. L2 L1:
The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.
Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:
For proving this condition, we need to prove two things:
First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.
It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.
Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.
Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.
Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Therefore, (L1 ∪ L2)* = L1* ∪ L2*.
Therefore, we have proved all the given conditions.
(b)It is true that condition 3 holds for all regular languages L1 and L2.
This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.
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Solve the system of equations and choose the correct answer from the list of options.
d + e = 1
- d + e = - 5
Label the ordered pairs as (d,e)
1) (0,0)
2) (3, -2)
3) (-2, 3)
4) (-3, 0)
Answer:
2) (3, -2)
Step-by-step explanation:
d + e = 1
- d + e = - 5
__________+
0 +2e = -4
e = -4/2 = -2
d = 1-(-2) = 3
so, (d, e) => (3, -2)
4. (NO CALC) Consider the differential equation dy/dx = x²-½y.(a) Find d²y/dx² in terms of x and y.
In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y
Why is it?
To find d²y/dx², we need to differentiate the given differential equation with respect to x:
dy/dx = x² - 1/2 y
Differentiating both sides with respect to x:
d²y/dx² = d/dx(x² - 1/2 y)
d²y/dx² = d/dx(x²) - d/dx(1/2 y)
d²y/dx² = 2x - 1/2 d/dx(y)
Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:
dy/dx = x² - 1/2 y
d/dx(dy/dx) = d/dx(x² - 1/2 y)
d²y/dx² = 2x - 1/2 d/dx(y)
d²y/dx² = 2x - 1/2 (d²y/dx²)
Substituting this expression for d²y/dx² back into our previous equation, we get:
d²y/dx² = 2x - 1/2 (2x - 1/2 y)
d²y/dx² = 2x - x/2 + 1/4 y
d²y/dx² = 3/2 x + 1/4 y
Therefore, d²y/dx² in terms of x and y is given by:
d²y/dx² = 3/2 x + 1/4 y
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a small college has 500 freshmen, 400 sophomores, 350 juniors, and 300 seniors. administrators wish to conduct a survey of their students, and they find a simple random sample of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. the overall sample is:
The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.
To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.
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HELP ME WITH PROVING LINES PARALLEL PLEASE
Answer:
x = 30
Step-by-step explanation:
5x and 3x + 60 are co-exterior angles. To make A and B parallel, they should congruent (equal}
5x = 3x + 60
5x - 3x = 60
2x = 60
x = 60/2
x = 30
Checking:
5x = 5*30 = 150
3x + 60 = 3*30 + 60 = 90 + 60 = 150
What is the value of √m = ∓ 17
Answer:
What is the value of √m = ∓ 17
The value of √m = ∓ 17 is undefined.
which of the following is not true when testing a claim about a standard deviation or variance?
A. The ,2 test is not robust against a departure from normality. B. The condition of a normally distributed population is a much stricter requirement for the x2 test than for the t test or the z test C. The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results D. The table for finding P-values does not usually give exact P.values as it only includes select values of a and selected numbers of degrees of freedom.
The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results is not true when testing a claim about a standard deviation or variance.
Hence, the correct option is C.
The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results.
The P-value method and the classical method are equivalent in terms of hypothesis testing. Both methods involve calculating a test statistic and comparing it to a critical value or finding the p-value to determine the strength of evidence against the null hypothesis.
On the other hand, the confidence interval method provides a range of plausible values for the population parameter and does not directly involve hypothesis testing. While confidence intervals can be used to make inferences about the population parameter, they are not equivalent to hypothesis testing methods.
Therefore, statement C is not true when testing a claim about a standard deviation or variance.
Hence, the correct option is C.
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Solve for v
7 - V = 3
Answer:
7 - V = 3
take away 7 from both sides
-V = -4
V = 4
Step-by-step explanation:
Hey there!
7 - v = 3
-v + 7 = 3
SUBTRACT 7 to BOTH SIDES
-v + 7 - 7 = 3 - 7
SIMPLIFY IT!
-v = 3 - 7
-v = -4
DIVIDE -1 to BOTH SIDES
-v/-1 = -4/-1
SIMPLIFY IT!
v = -4/-1
v = 4/1
v = 4
Therefore, your answer is: v = 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
sampling techniques are particularly important in which type of study
Sampling techniques are particularly important in quantitative research studies. In these studies, researchers aim to collect data from a subset of individuals or entities (the sample) to make inferences about a larger population.
Sampling techniques help researchers select participants from the population in an unbiased and systematic manner. By using appropriate sampling methods such as random sampling, stratified sampling, or cluster sampling, researchers can minimize sampling errors and increase the likelihood that the sample represents the characteristics of the population accurately.
By employing sound sampling techniques, researchers can enhance the external validity of their findings, allowing them to make meaningful and reliable generalizations about the larger population.
This is particularly crucial in fields such as public health, social sciences, market research, and opinion polling, where the goal is to draw valid conclusions about the broader target audience based on a representative sample.
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What type of number is
-15/3
Answer:
Rational
Step-by-step explanation:
Rational numbers can be reduced to a fraction
Irrational numbers cannot be reduced to a fraction
Whole numbers are positive numbers that are not decimal or fraction
Integers are all numbers that are not decimal or fraction
Evaluate the integral: S1 0 (-x³ - 2x² - x + 3)dx
The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12
An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.
To evaluate the integral:
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)
We can integrate each term of the polynomial separately using the power rule of integration, which states that:
\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)
where C is the constant of integration.
So, we have:
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)
Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):
\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)
Simplifying:
\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)
\($ = -\frac{1}{12} $\)
Therefore,
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)
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Find the exact value of sec (300)
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
sec 300 = sec60 = 1/(1/2).= 2
Reduce 0.20 to its lowest term.
Answer:
1/5 is the lowest fraction term for 0.20
What is the area of the figure?
Answer:
190 inches squared
Step-by-step explanation:
You have to split the shape into two different rectangles. Then multiply 22 x 5 to get the area of the right rectangle. The area of this is 110 inches squared. Then you find the area of the other rectangle by solving (15-5) x 8. You get 80. Then add 80 + 110 to get 190.
Hope it helps!
Answer: 190 inches²
Step-by-step explanation:
Area of rectangle = L x W
= 15 x 8
= 120 inches
Area of smaller rectangle = L x W
= 5 x (22 - 8 = 14)
= 70 inches
Therefore, 120 inches + 70 inches = 190 inches²
The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.
The number of bears living in the area after 17 years is; 22555
How to solve exponential functions?We are given the function;
f(t) = 103/(1 + 26e^(-0.31t))
Where f(t) is a function that models the number of bears living in the area after t period of years.
Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;
f(17) = 103/(1 + 26e^(-0.31*17))
f(17) = 103/0.00456653759
f(17) ≈ 22555 bears
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Can you please help me with this problem
Original price: $10 New price: $7
Answer:
what about it??
Step-by-step explanation:
Answer:
WHATS THE QUESTION
Step-by-step explanation:
IF YOU WERE WONDERING IT GOT DISCOUNTED BY 3$, OR 30%
Evaluate 6/x + 9 if x = 3
Answer:
11
Step-by-step explanation:
6/x + 9
Let x= 3
6/3 +9
2 +9
11
Answer:
11
Step-by-step explanation:
6/3 + 9
2 + 9
11
in march, Arnold finds a guitar with a price of $650 that he wants to buy, but he only has $300 saved. In September, Arnold has 75% more money saved, and the guitar is on sale for a 30% discount off the original price. The sales tax is 5% of the sale price. Does Arnold have enough money to buy the guitar in September? justify your answer
Answer:
Yew, he has enough money to buy the guitar in september.
Step-by-step explanation:
300*0.75=225 300+225=525
650*0.35=195 650-195=455
sales tax: 455*0.05=22.75 455+22.75=477.75
Yes , Arnold have enough savings to buy the guitar
Savings amount of Arnold is $ 525 and the price of the guitar is $ 477.75
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original price of the guitar be = $ 650
Let the initial savings of Arnold be = $ 300
Now , Arnold saved 75 % more than what he actually had
And , the equation will be
So , the new savings of Arnold is = 300 + ( 75/100 ) x 300
The new savings of Arnold is = 300 + ( 300 x 0.75 )
The new savings of Arnold is = 300 + 225
The new savings of Arnold is = $ 525
Now , the price of the guitar is discounted by = 30 %
And , the equation will be
So , the new price of the guitar after discount is = 650 - ( 30/100 ) x 650
The new price of the guitar after discount is = 650 - ( 650 x 0.30 )
The new price of the guitar after discount is = 650 - 195
The new price of the guitar after discount is = $ 455
Now , A sales tax of 5 % is priced on the guitar
And , the equation will be
So , the sale price of the guitar is = 455 + ( 5/100 ) x 455
The sale price of the guitar is = 455 + 22.75
The sale price of the guitar is = $ 477.75
Now , the new savings of Arnold is greater than the sale price of the guitar
$ 525 > $ 477.75
Therefore , Arnold have enough savings to buy the guitar
Hence , Yes , Arnold have enough savings to buy the guitar
Savings amount of Arnold is $ 525 and the price of the guitar is $ 477.75
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What is the distance between (8, -3) and (4, -7)?
The answer is √32 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Select the equivalent expression. (8^-5/2^-2)^-4 = ?
Choose 1 answer:
A. 1/8*2^2
B. 2^6/8^9
C. 8^20/2^8
Please
Answer:
C. 8^20/2^8
Step-by-step explanation:
(8^5/2²)^4
8^20/2^8
Solution or not a solution
and because
Step-by-step explanation:
X + Y = -3
X + 3x +5 = -3
X=-2
X+Y=-3
Y=-3+2
Y=-1
?????????????????????????????????????????????????????
Answer:
??????
Step-by-step explanation:
Answer:
The radius of the circle is 2 units.
Step-by-step explanation:
The radius is half the diameter, therefor you must divide the diameter (4) by 2, and you get 2 units.
Pedro wants to buy a skateboard for $56. The store is offering a discount of 25% off for all new customers. Since Pedro is a new customer, he qualifies for the discount. What price will Pedro pay for the skateboard, not including tax?
Answer:
the andwar is $224
Step-by-step explanation:
look it up on g00gle Im in seventh grade not kidding ;3