Answer:
7$
Step-by-step explanation:
Consider the compound inequality x < 4 and x > a . For what value(s) of a would the compound inequality have infinite solutions? Justify your answer.
a would the compound inequality have infinite solutions if a = 4
x < 4 AND x > a.
if a = 4 and we use an "or" instead of the "and" we have:
x < 4 or x > 4.
This is:
"x is larger than 4 or smaller than 4."
Then the solution of this is all the real numbers except the value x = 4.
The set of solutions can be written as:
{xI x ∈ R \ [4]}
Where this reads:
"x belongs to the set of the reals minus the number 4".
Or we also could write it as:
x ∈ (-∞, 4) ∪ (4, ∞)
Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.
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What is the measure of ∠x?
Answer:
117+x=180°(sum of straight line)
Step-by-step explanation:
x=180-117
x=63
A sequence of numbers 4, 4, ų,
Find 42, 43 and 4
is given by 4-1, 49+1 = 2(un)? +3
04
Answer:
u₂ = 5
u₃ = 53
u₄ = 5621
Step-by-step explanation:
u₁ = 1
uₙ₊₁ = 2(uₙ)² + 3
u₂ = u₁₊₁ = 2ₓu₁² + 3 = 2*1² + 3 = 5
u₃ = u₂₊₁ = 2*u₂² + 3 = 2*5² + 3 = 53
u₄ = 2*u₃² + 3 = 2*53² + 3 = 5621
Graph y=2
please I need help
Answer:
I used desmos graphing calculator
Step-by-step explanation:
Round the number 63,825
On the hundreds place
Answer:
63,800
Step-by-step explanation:
Answer:
63,800
hope this helps :3
2) Suppose you are going to invest a certain amount of money at simple interest for 8 years.
What is the lowest interest rate would you have to earn to be able to double your money in 8
years?
A) 12.5%
B) 15%
C) 17.5%
D) 20%
Answer is A) 12.5%
Step-by-step explanation: 25% Use the formula I = Prt. Since you want to double your money, your earned interest must equal your investment, P. So set P = P(r)(8) and solve for r to get r = 0.125 = 12.5%. You can also use a specific number for P, since P cancels out of both sides of the equation anyway.
Answer:
A
Step-by-step explanation:
calculate the volume of water in the ocean in liters
The volume of water in the ocean is estimated to be approximately 1,332,000,000,000,000,000 liters.
The Earth's oceans cover about 71% of the planet's surface and contain a vast amount of water. To calculate the volume of water in the ocean, we need to consider the average depth and the total surface area of the oceans.
The average depth of the ocean is estimated to be around 3,800 meters. The total surface area of the oceans is approximately 361,900,000 square kilometers. By multiplying the average depth by the surface area, we can find the volume of water.
Volume = Average Depth × Surface Area
Using the given values, we have:
Volume = 3,800 meters × 361,900,000 square kilometers
To convert this volume to liters, we need to consider that 1 cubic meter is equal to 1,000 liters. Therefore, we can multiply the volume in cubic meters by 1,000 to obtain the volume in liters.
Calculating the above expression, we find that the volume of water in the ocean is approximately 1,332,000,000,000,000,000 liters. This is an estimation and may vary slightly depending on the sources and assumptions used for average depth and surface area calculations.
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Let 0° < a < 90°
Given: cos a=7/25
Find: sin a and cot a
The solutions are:
sin(a) = 24/25
tan(a) = 24/7
For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.
Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.
So we have:
x = adjacent cathetus
y = opposite cathetus
h = hypotenuse = √(x^2 + y^2)
Then the trigonometric relations become:
cos(a) = x/√(x^2 + y^2)
sin(a) = y/√(x^2 + y^2)
tan(a) = y/x
Now, we know that we have:
cos(a) = 7/25
then we can see that:
x = 7
and
h = 25 = √(7^2 + y^2)
We can solve the above equation for y:
25 = √(7^2 + y^2)
25 = √(49 + y^2)
25^2 = 49 + y^2
625 - 49 = y^2
√576 = y = 24
Then we have:
x = 7
y = 24
h = 25
Now we can return to our known trigonometric relations and get:
sin(a) = y/√(x^2 + y^2) = 24/25
tan(a) = y/x = 24/7
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Help please with the question
Answer:
try x=3.08
Step-by-step explanation:
in which of the following situations should the chi-square test for homogeneity be used? select the correct answer below: a researcher is trying to determine if salaries for men and women in the tech industry have the same distribution. he surveys a random sample of men and women in the industry and records the distribution of salaries for each gender. he wants to determine if the distributions are the same. a referee wants to make sure the coin he uses for the opening coin toss is fair. he flips the coin 30 times and compares the number of heads and tails with the numbers he would expect to get if the coin were fair. an online survey company puts out a poll asking people two questions. first, it asks if they buy physical cds. second, it asks whether they own a smartphone. the company wants to determine if there is a relationship between the buying physical cds and owning a smartphone.
The chi-square test for homogeneity is used if he wants to determine if the distributions are the same.
What is the chi-square test?
Chi-square is a statistical test that looks at how categorical variables from a random sample differ from one another to see if the expected and actual findings match together well. It is a contrast of two sets of statistical data. Karl Pearson developed this test in 1900 for the analysis and distribution of categorical data.
Here,
We have to determine for which situations should the chi-square test for homogeneity be used.
We concluded from the given option that:
A researcher is trying to determine if salaries for men and women in the tech industry have the same distribution.
He surveys a random sample of men and women in the industry and records the distribution of salaries for each gender.
He wants to determine if the distributions are the same.
Hence, the chi-square test for homogeneity is used if he wants to determine if the distributions are the same.
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I GOT A 92 ON MY MATH EXAM AND I DIDN'T STUDY LETS GOOO
btw, I need help on this
if x • y = y, what are the only 2 numbers x can be?
Answer:
???
Step-by-step explanation:
x*y=y
Well, since y is on both ends of the equation, y could be 0, because anything multiplied by 0 is 0.
So x could be anything.
---
hope it helps
pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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How
do you solve this for coefficients?
g(x) = { 1₁ -1 - T≤x≤0 осхь п 1 f(x+2TT) = g(x)
The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.
To solve for the coefficients in the function g(x), we need to consider the conditions given:
g(x) = { 1, -1, -T ≤ x ≤ 0
{ 1, f(x + 2π) = g(x)
We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.
For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.
For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).
The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).
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Calculate the product below and give your answer in scientific notation.
\large{\left(800 \right) \times \left(3\times 10^{-1} \right) =\ ?}(800)×(3×10
−1
)= ?
How does changing the sign of the constant a from positive to negative affect the domain and range of f(x) = a|x|?
When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.
A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.
Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is \(a\geq0\). Then, the given function is defined as follows,
\(f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}\)
Then, the domain will be \(\text{domain}=\mathbb{R}\{(-\infty, \infty)\) and the range will be given as \(\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}\).
Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as \(\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}\).
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slope = 2/3 ; y-intercept = -1
• Write the linear equation in slope intercept form!
helppppp !!
Answer:
y=2/3x-1
Step-by-step explanation:
slope intercept form is y=mx+b
where m is the slope and b is the y-intercept
You already know that the slope is 2/3 and the intercept is -1 so all you have to do is plug it in
y=2/3x-1
3.5+y=-1 solve for y
Answer:
C is your best bet i got it good on ed
Answer:
-4.5
Step-by-step explanation:
what is the y intercept and rate of change(ROC) please no links
The y-intercept is the point where a line intersects the y-axis, and it represents the value of the dependent variable when the independent variable is equal to zero and the rate of change (ROC) is the amount of change in the dependent variable divided by the amount of change in the independent variable.
The dependent variable changes for each unit increase in the independent variable. The y-intercept and rate of change are important concepts in understanding linear equations and their graphs.
The y-intercept is the point where a line or curve intersects the y-axis on a coordinate plane. In other words, it's the value of y when x is equal to zero (x=0). To find the y-intercept, you can either look at a graph or use the equation of the line. If the equation is in the form y = mx + b, where m is the slope and b is the y-intercept, you can simply identify the value of b as the y-intercept.
The rate of change (ROC) is a measure of how quickly a dependent variable (usually y) changes with respect to an independent variable (usually x). In the context of linear functions, the rate of change is equal to the slope of the line (m). To find the rate of change, you can use the formula: ROC = (change in y) / (change in x), which can be found by taking the difference in y-values divided by the difference in x-values between any two points on the line.
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You have at most 7 hours to spend at a fair and a beach. You want to spend at
least 2 hours at the fair and more than 3 hours at the beach. Let x be the number of
hours at the fair and let y be the number of hours at the beach. Write a system to
represent the situation.
The system of linear equation is x + y = 7 to represent the situation
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.
Let represent the data by
x = number of hours at fairy = number of hours at beachx + y = 7
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The event of you going to work is a and the event of you taking leave is b. if these events are mutually exclusive events, using p(a)=0.55, and p(b)=0.10, what is p(a|b)?
The events are mutually exclusive events, so P(A|B) is 0.
In this question,
If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then
⇒ A ∩ B = 0
Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)
⇒ \(\frac{0}{0.10}\)
⇒ 0.
Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.
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A company borrows $891,000 at 5%, 6% and 9% interest. It owed $54,000 in annual interest. The amount borrowed at 5% was four times the amount at 6%. How much was borrowed at 9%?
Answer:
$274,526
Step-by-step explanation:
Need help ASAP, Tysm :)
Answer:
16
Step-by-step explanation:
Plug in -4: \(-(-4)^{2}\) Simplify: \(4^{2}\) \(4^{2}\) = 4 × 4 = 16I hope this helps!
Hey all! Pls help
They are easy questions, pls show the working
Answer:
7. x = 6
8. x = 15/4
9. x = -7
Answer:
Hello there user, looks like your looking for help!
The correct answers should be:
7. x = 6
8. x = 3 3/4
9. x = -7
Step-by-step explanation:
3/2 = x/4
6/4 = x/4
x = 6
x/3 = 1 1/4
4x/12 = 15/12
x = 15/4
x = 3 3/4
(x + 1)/3 = (x-1)/4
(4x + 4)/12 = (3x-3)/12
x/12 = -7/12
x = -7
does this table represent a functon?
Answer:
no, because each y value corresponds to multiple x values. And the x values repeat each other.
Step-by-step explanation:
Answer:
No, because there is more than one of the same x value
Step-by-step explanation:
Suppose that at any given time t (in seconds) the current j (in amperes) in an alternating current circuit is i=5 cos t + 5 sin t. What is the peak current for this circuit (largest magnitude)? The peak current for this circuit is amperes. (Type an exact answer, using radicals as needed.)
If alternating current circuit is i=5 cos t + 5 sin t , the peak current for this circuit is 5√2 amperes.
The current in an alternating current circuit is given by the formula i=5 cos t + 5 sin t. Here, i represents the current in amperes, and t represents time in seconds.
The peak current for this circuit refers to the maximum current that occurs in the circuit. To find the peak current, we need to find the maximum value of the expression 5 cos t + 5 sin t.
The maximum value of the expression 5 cos t + 5 sin t can be found by using the fact that the maximum value of sin t + cos t is √2.
Using the Pythagorean theorem, we can find that the hypotenuse has length √2.
Therefore, the maximum value of 5 cos t + 5 sin t occurs when sin t = cos t = 1/√2.
Substituting these values into the expression, we get:
5 cos t + 5 sin t = 5(1/√2) + 5(1/√2) = 5√2
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when can we conceptually isolate the strength of the evidence from the prior probability of the theory? select an answer and submit. for keyboard navigation, use the up/down arrow keys to select an answer. a only in cases when we observe the relevant evidence and then form hypotheses to explain them b only in cases when we can form hypotheses prior to testing them with evidence c whether we make observations first or form our hypotheses first d we can never reliably do this because of the problem of ad hoc modification
We can conceptually isolate the strength of the evidence from the prior probability of the theory when we make observations first or form our hypotheses first. Correct option is C.
The concept of isolating the strength of evidence from the prior probability of the theory is known as Bayesian inference, which involves updating our prior beliefs about a theory or hypothesis based on the observed evidence.
This process can be done whenever we have some initial prior belief about the theory or hypothesis and then collect new evidence to test it.
In Bayesian inference, the strength of evidence is measured by the likelihood of the observed data given the theory or hypothesis, and the prior probability is the initial belief or probability assigned to the theory or hypothesis before the evidence is considered.
By combining these two sources of information, we can calculate a posterior probability or updated probability of the theory or hypothesis given the observed evidence.
Therefore, the answer is c) whether we make observations first or form our hypotheses first. The order in which we collect the evidence or form hypotheses does not affect our ability to conceptually isolate the strength of the evidence from the prior probability of the theory, as long as we use Bayesian inference to update our beliefs.
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Nathan's calculator displays the following: 5.987e-5
Enter the correct number in each box to rewrite the number.
Answer:
You should instead ask your teacher for help trust me that is what I do she helps me learn better than others.
Look at the graph, then select the correct answer.
Which distribution has the greatest spread?
A. Distribution 1
B. Distribution 2
C. Distribution 3
D. Distribution 4
The distribution has the greatest spread is
C. Distribution 3What is standard deviation?The term standard deviation refers to a measurement of the data's dispersion or spread from the mean.
A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed or spread out.
In the given problem the distribution that has a higher value of standard deviation is the one that has the highest spread spread
This is distribution 3 with a standard deviation of 7.2
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6.70 divided by 12 i will give brainly pls e right i dont have much time
Answer:
67/120
Step-by-step explanation:
T/F regardless of whether a distribution of scores that is symmetrically shaped has one mode or two modes, the mean value tends to be similar to the median value.
True
In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.
When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.
The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.
If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.
If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.
In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.
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