Answer:
1. -50
2. -49
3. 38
4. 175
Step-by-step explanation:
hope it helps
Answer:
C,D,B,A
Step-by-step explanation:
The more the negitive number is, it's smaller. So, the answer would be C,D,B,A
Write the ratio in the simplest form:-
a) 25:50
b) 200:5
for A
1. the GCD of 25 and 50 is 25
2.25÷2550÷25
3. Reduced Fraction 12. Therefore, 25/50 simplified to lowest term is 1/2
B
1. The GCD for 200 and 5 is 5
2. Divide the numerator and denominator by the GCD. 200÷5
5÷5
3. Therefore 200/5 simplified to lowest terms is 40/1
a) 1:2
b) 5:2
hope it helps u
mark me BRAINLIST
I am trying to find the area of this shape. Can you plz explain in detail.
Answer:
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
Solve the following equation in natural numbers: x^2-y^2=303
Pls Answer! I will give whoever get's it right more points!
The solution in natural numbers for the equation is x = 100 and y = 1.
What is natural number?The positive integers 1, 2, 3, 4, 5,... are known as "natural numbers." N stands for the set of natural numbers. Natural numbers are the building blocks of mathematical operations including addition, subtraction, multiplication, and division. They are also used to count objects. They make up a portion of the set of whole numbers, which also contains the natural numbers and 0 as well. There is no biggest natural number since the collection of natural numbers is endless and unbounded.
To determine the solution of the equation we use the difference of square identity given as:
(x + y)(x - y).
Now, for the given function we have:
(x - y)(x + y = 303
The two factors of 303 are 101 and 99.
Thus,
x + y = 101
x - y = 99
Adding the two equations we have:
2x = 200
x = 100
Now, for x = 100 the value of y is:
100 - y = 99
y = 1
Hence, the solution in natural numbers is x = 100 and y = 1.
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Mr. Jensen owed $34.75 on his Internet service. He accidentally paid $37.45. When his next statement came, it showed a balance of –$2.70. Which statement about this bill is true?
a.Mr. Jensen needs to pay $2.70 more on his next bill
b.Mr. Jensen needs to pay $2.70 less on his next bill.
c.Mr. Jensen needs to pay $5.40 more on his next bill.
d.Mr. Jensen needs to pay $5.40 less on his next bill.
Answer:
b
Step-by-step explanation:
Answer:
b give the person above me brainliest
Step-by-step explanation:
1) Explain the problem of unit root in standard regression and in time-series models and Explain how to use the Dickey-Fuller and augmented Dickey-Fuller tests to detect this. In clearly and detailed . Kindly type your answers . Course Econometrics
The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.
In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.
Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.
The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.
The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.
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Expand.
Your answer should be a polynomial in standard form.
(9+ m)(-m +9)=
Answer: -1m²+81
Step-by-step explanation:
correct standard form means that the terms are ordered from biggest exponent to lowest exponent.The leading coefficient is the coefficient
of the first term in a polynomial in standard form.
FoR example, (9+ m) (-m+9) = *(m+9) (-m+9) *m(-m+9) +9 (-m+9)* -1.mm+9m +9(-m+9) * -1m² +9m +9(-m+9) *-1m²+9m- 9m +81
answer -1m²+81
suppose a scientist designs an experiment to test a hypothesis. which of the following is true? 1 point if the experimenter does the test correctly, the hypothesis will be proven correct. a good experiment is one that produces the most data. an experiment should always be done in a professional science lab, using lab equipment. the results of the experiment might support the hypothesis, or might not.
The results of the experiment might support the hypothesis, or might not.
The correct statement is that the results of the experiment might support the hypothesis, or might not. It is important to design a well-controlled experiment that tests the hypothesis in a rigorous and systematic way. The goal is not to prove the hypothesis correct, but rather to gather evidence that either supports or contradicts the hypothesis. It is also important to conduct the experiment in a suitable environment with appropriate equipment and procedures to ensure accurate and reliable results.
Your question focuses on understanding the relationship between a hypothesis, an experiment, and the possible outcomes.
An experiment is designed to test a hypothesis, which is an educated guess or prediction about a phenomenon. When conducting an experiment, the results might either support the hypothesis or contradict it, leading to further investigation and refinement of the hypothesis. A well-designed experiment should be able to provide valuable data and insights, regardless of the outcome.
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The statement that is true is:
"The results of the experiment might support the hypothesis or might not."
A scientist designs an experiment to test a hypothesis.
In such a scenario, it is important to note that the outcome of the experiment cannot be predicted with certainty.
The scientific method involves formulating a hypothesis, designing an experiment to test the hypothesis,
collecting and analyzing data and drawing conclusions.
The hypothesis is an educated guess that can be tested through experimentation.
It is important to remember that a hypothesis can never be proven to be 100% correct, only supported or refuted by the evidence obtained through experimentation.
It is not accurate to say that if the experimenter does the test correctly, the hypothesis will be proven correct.
This is because there are many variables that can affect the outcome of the experiment, and it is impossible to control all of them.
Additionally, a good experiment is not necessarily one that produces the most data.
A good experiment is one that is well-designed, carefully controlled, and yields reliable results.
The use of lab equipment is also not a requirement for conducting experiments.
While it is often necessary for certain types of experiments, many experiments can be conducted with simple materials and equipment.
Ultimately, the results of the experiment might support the hypothesis, or might not. If the results support the hypothesis, it can be considered a step towards validating the hypothesis.
The results do not support the hypothesis, it does not necessarily mean that the hypothesis is incorrect.
It could mean that the experiment was flawed, or that the hypothesis needs to be revised based on the new information obtained from the experiment.
Designing and conducting experiments is an important part of the scientific method.
Guarantee that an experiment will yield the desired results, a well-designed and carefully controlled experiment can provide valuable information that can help scientists understand the natural world.
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Lydia uses 8.4 pints of white paint and blue paint to paint her bedroom walls.
1/4
of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
25.2 pints of blue paint
Step-by-step explanation:
If 8.4 is 1/4 of the total amount of paint then multiply it by 4 to find the total amount of paint, which is 33.6. The subtract 8.4 from 33.6 which is 25.2
Hope this helps :)
how to know if a function has a vertical asymptote
To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.
A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:
Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.
Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.
For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.
In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.
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PREGUNTA 5 : El promedio de edades de 4 amigos, todos mayores de edad, es 25 años ¿cuál es la edad máxima que puede tener uno de ellos? A) 46 B) 64 C) 42 D)26 E) 24
Answer: Sale la a 46
Step-by-step explanation:25*4 es 100
18*3 es 54 y 100-54 es 46
Lindsay has and 8.5" by 11" piece of notebook paper. Her friends draws
an isosceles right triangle on the paper with legs 3 inches long. To the
nearest thousandth, what is the probability that a dot on the paper is
inside that triangle?
-1.95 = -1.7 x/0.4 two step equation with decimals
Answer:
x = 0.45882352
Step-by-step explanation:
-1.95 = -1.7 x/0.4
-1.95 = -4.25x
x = 0.45882352
Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he have left for gift C?
Answer:
$15 1/10
Step-by-step explanation:
Given that :
Total amount to spend = $30
Amount spent on Gift A = $9 1/4
Amount spent on Gift B = $5 4/5
Amount left to spend on gift C ;
$30 - (9 1/4 + 5 4/5)
$30 - (37/4 + 29/5)
$30 - (185 + 116)/20
$30 - 298/20
30/1 - 298/20
$(600 - 298) / 20
$302/20
$15 2/20
= $15 1/10
In ΔEFG, g = 34 inches, e = 72 inches and ∠F=21°. Find the area of ΔEFG, to the nearest square inch.
The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.
To find the area of triangle EFG, we can use the formula:
\(Area = (1/2) \times base \times height\)
In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.
First, let's find the length of FG. We can use the law of cosines:
FG² = EF² + EG² - 2 * EF * EG * cos(∠F)
EF = 72 inches
EG = 34 inches
∠F = 21°
Plugging these values into the equation:
FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)
Solving for FG, we get:
FG ≈ 83.02 inches
Next, we need to find the height. We can use the formula:
height = \(EF \times sin( \angle F)\)
Plugging in the values:
height = 72 * sin(21°)
height ≈ 25.52 inches
Now we can calculate the area:
\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)
Area ≈ 1060.78 square inches
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expand 3(4x +2) please i just need the answer
Answer:
12x + 6 =0
12x = -6
x = -6/12 = -1/2 = -0.5
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
abby learned to sing a total of 10 pieces over the course of 5 weeks of voice lessons. How many weeks of lessons will abby need before she will be able to sing a total of 32 pieces? solve using unit rates
Answer:
16 weeks
Step-by-step explanation:
10 ÷ 5 = 2, so she's able to sing 2 pieces per week
32 ÷ 2 = 16
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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begin at 40 and skip count by tens five times
Answer:
not exactly sure what is being asked butttt i think it's 90
Step-by-step explanation:
Triangles S T U and X Y Z are shown. If △STU ~ △XYZ, which statements must be true? Check all that apply. StartFraction S T Over X Y EndFraction = StartFraction T U Over Y Z EndFraction StartFraction X Y Over S T EndFraction = StartFraction SU Over X Z EndFraction ∠S ≅ ∠X ∠T ≅ ∠Y ST = XY SU = XZ.
Given the triangles S T U and X Y Z shown in the diagram and △STU ~ △XYZ. We need to select all the true statements. By the definition of similar triangles, the corresponding sides are proportional.
So, Start Fraction ST Over XY End Fraction = Start Fraction TU Over YZ End Fraction.
This statement should be accurate.
Let's check this for the given triangles;
Start Fraction 10 Over 20 End Fraction = Start Fraction 8 Over 16 End Fraction 0.5 = 0.5.
So, the statement is true, actually.
Let's check this for the given triangles;
Start Fraction XY Over ST End Fraction = Start Fraction YZ Over TU End Fraction.
So, the statement should be accurate, actually.
Let's check this for the given triangles;
Start Fraction 20 Over 10 End Fraction = Start Fraction 16 Over 8 End Fraction 2 = 2
So, the statement is true, actually.
Using the angles in the triangles, we can say that the statement ∠S ≅ ∠X and ∠T ≅ ∠Y should be true. Let's check this for the given triangles;
∠S = 100° and ∠X = 100°; ∠T = 40° and ∠Y = 40°.Thus, the statement is true.
Using the ratio of sides in similar triangles, we have
Start Fraction SU Over XZ End Fraction = Start Fraction ST Over XY End Fraction
Multiplying both sides by XY, we get
SU = XZ × Start Fraction ST Over XY End Fraction
We know that ST = 10 and XY = 20
Substituting these values, we have
SU = {XZ × Start Fraction 10}{20 End Fraction SU} = XZ × 0.5
Thus, the statement SU = XZ should be false.
From the given triangles, we have △STU ~ △XYZ. By the definition of similar triangles, the corresponding sides are proportional. Next, using the angles in the triangles, we can say that ∠S ≅ ∠X and ∠T ≅ ∠Y are congruent as the corresponding angles of similar triangles.
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Which of the following sets of numbers could represent the three sides of a triangle?
Answer:
{ 14, 30, 33 }
Step-by-step explanation:
for the three sides to form a triangle.
The sum of any 2 sides > third side
{ 7, 22, 29 }
7 + 22 = 29 ← not greater than 3rd side, thus not form a triangle
{5, 7, 12 }
5 + 7 = 12 ← not greater than 3rd side, thus not a triangle
{ 8, 14, 24 }
8 + 14 = 22 < 24 ← sides do not form a triangle
{ 14, 20, 33 }
14 + 20 = 34 > 33
14 + 33 = 47 > 20
20 + 33 = 53 > 14
Thus the sides form a triangle
Maya decides to use the method of proportions and similar triangles to find the height of a tower. She measures the length of the tower's shadow and finds it is 20 feet long. Then she holds a 12-inch ruler perpendicular to the ground and finds that it casts a 4-inch shadow. How tall is the tower? a. 2.4 ft c. 60 ft b. 5 ft d. 240 ft
Answer: C: 60 ft
Step-by-step explanation:
Her pencil is 12 inches and its shadow is 4 inches. Her pencil is 3 times longer than its shadow, so using that logic we can conclude that the tower is 3 times longer than its shadow as well.
\(20*3=60\)
The tower is 60 feet tall.
determine whether the given value is a statistic or a parameter. a health and fitness club surveys 40
Any value calculated from this survey would be considered a statistic.
To determine whether the given value is a statistic or a parameter, consider the following:
A statistic is a numerical value calculated from a sample of the population, while a parameter is a numerical value that describes a characteristic of the entire population.
In this case, the health and fitness club surveys 40 members. This is a sample of the population, not the entire population.
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Two linear walking paths form a 30 degree angle at their intersection. What are the remaining three angle measures at the intersection?
Answer:
Step-by-step explanation:
Find the intercept and domain, and perform the symmetry test on each of the following ellipsesx^2 + 4y^2 = 4
The given equation of the ellipse is:
\(x^2+4y^2\text{ = 4}\)To find the x intercept, let y = 0
\(\begin{gathered} x^2+4(0)^2\text{ = 4} \\ x\text{ = }\sqrt[]{4} \\ x\text{ = }\pm2 \\ x-\text{intercept = (}\pm2,\text{ 0)} \end{gathered}\)For the y-intercept, let x = 0
\(\begin{gathered} 0^2+4y^2=4 \\ y^2\text{ = }\frac{4}{4} \\ y\text{ = }\sqrt[]{1} \\ y\text{ = }\pm1 \\ y-\text{intercept = (0, }\pm1) \end{gathered}\)For an ellipse of the form:
\(\begin{gathered} \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 \\ \text{The x-domain is from -a and a} \\ \text{The y-domain is from -b and b} \end{gathered}\)The given equation is:
\(\begin{gathered} x^2+4y^2=\text{ 4} \\ \text{Divide through by 4} \\ \frac{x^2}{4}+\frac{y^2}{1}=\frac{4}{4} \\ \frac{x^2}{4}+\frac{y^2}{1}=\text{ 1} \end{gathered}\)\(\begin{gathered} a^2\text{ = 4} \\ a\text{ = }\sqrt[]{4} \\ a\text{ = -2, 2} \\ b^2\text{ = 1} \\ b\text{ = }\sqrt[]{1} \\ b\text{ = -1, 1} \end{gathered}\)The x-domain = (-2, 2)
The y-domain = (-1, 1)
Symmetry test:
For the equation to be symmetriacal to the x-axis, y → -y
\(\begin{gathered} x^2+4y^2\text{ = 4} \\ y^2\text{ = 1 - }\frac{x^2}{4}\ldots\ldots\text{.}(1) \\ \text{Let y = -y} \\ (-y)^2\text{ = 1 - }\frac{x^2}{4} \\ y^2\text{ = 1 - }\frac{x^2}{4}\ldots\ldots\text{.}\mathrm{}(2) \\ \end{gathered}\)Because (1) matches with (2), the equation is symmetrical to the x-axis
For the equation to be symmetrical to the y-axis, x → -x
\(\begin{gathered} x^2+4y^2\text{ = 4}\ldots..(1) \\ \text{Let x = -x} \\ (-x)^2+4y^2\text{ = 4} \\ x^2+4y^2\text{ = 4}\ldots.(2) \end{gathered}\)Since (1) matches with (2), the equation is symmetrical to the y-axis
For the equation to be symmetrical to the origin, x→-x, y→-y
\(\begin{gathered} (-x)^2+4(-y)^2\text{ = 4} \\ x^2+4y^2\text{ = 4} \end{gathered}\)The equation is symmetrical to the origin
Therefore, according to the symmetry test, the equation given is symmetrical to the x-axis, y-axis, and the origin
Mrs. DeBusk bought 1 pair of jeans that cost $15, a pair of socks that cost $5 and 4 t-shirts that were each the same price. The items purchased cost a total of $160 without tax included. What was the cost of each t-shirt?
For the following question, show representation, your initial equations, your algebra work, symbolic answer, and units check.
A dog is sitting at an initial position of D1= (50 m North, 10 m East) from her home. She moves in a straight line until she is at a final position of D2 = ( 5 m North, 35 m East) from her home. It takes her 15 seconds to move from the initial position to the final position; find the magnitude of her average velocity vector.
The magnitude of the average velocity vector is approximately 3.651 m/s.
To find the magnitude of the average velocity vector, we need to calculate the displacement and divide it by the time taken.
Representation:
Initial position: D1 = (50 m North, 10 m East)
Final position: D2 = (5 m North, 35 m East)
Time taken: t = 15 seconds
Equations:
Displacement vector (ΔD) = D2 - D1
Average velocity vector (\(V_{avg}\)) = ΔD / t
Algebra work:
ΔD = D2 - D1
= (5 m North, 35 m East) - (50 m North, 10 m East)
= (-45 m North, 25 m East)
|ΔD| = √((-45)^2 + 25^2) [Magnitude of the displacement vector]
\(V_{avg}\) = ΔD / t
= (-45 m North, 25 m East) / 15 s
= (-3 m/s North, 5/3 m/s East)
|\(V_{avg}\)| = √((-3)^2 + (5/3)^2) [Magnitude of the average velocity vector]
Symbolic answer:
The magnitude of the average velocity vector is approximately 3.651 m/s.
Units check:
The units for displacement are in meters (m) and time in seconds (s). The average velocity is therefore in meters per second (m/s), which confirms the units are consistent with the calculation.
Therefore, the magnitude of the average velocity vector is approximately 3.651 m/s.
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Mandy and Pete have a biased spinner numbered 1, 2, 3, 4, 5. They each want to find an estimate for the probability that the spinner will land on a 5. Mandy spins the spinner 20 times and records the number of times the spinner lands on a 5. Pete spins the spinner 200 times and records the number of times the spinner lands on a 5. Is Mandy or Pete more likely to get the better estimate? You must give a reason for your answer.
Answer:
Pete
Step-by-step explanation:
Given that:
Mandy's Estimate :
Number of spins , n = 20
Pete's Estimate:
Number of spins, n = 200
A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.
A high sample size give a narrower margin of error and increases the confidence level probability
Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.
Last year, 3,570 athletes finished the Silvergrove Marathon. This year, the number of runners crossing the finish line was 20% higher. How many athletes finished the race this year?
The number of athletes that finished the race this year was 4284 athletes.
How to solve an equation?An equation is an expression that can be used to show the relationship between variables and numbers.
Let x represent the amount of athletes that finished the race this year.
Last year, 3,570 athletes finished the Silvergrove Marathon. This year, the number of runners crossing the finish line was 20% higher. Hence:
x = 3570 + 20% of (3570)
x = 3570 + (0.2 * 3570)
x = 4284
4284 athletes finished the race.
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(-2,4) (0,3) distance between?
Answer:
2.236
Step-by-step explanation:
You need to use the distance formula.
d= square root of (x2-x1)^2=(y2-y1)^2
Answer:
the distance is (-2,1)
Step-by-step explanation: