Answer:
j= -0.4
Step-by-step explanation:
multiply both sides by 60
=45j(+12)=30-12
take the 12 ti the right hand side and the sign changes
= -45j=18 then divide by 45 on both sides
j= -2/5
j= -0.4
Solve for x in the triangle. Round your answer to the nearest tenth.
20
X
52°
X =
Answer:
25.4
Step-by-step explanation:
use sine rule \(\frac{a}{sinA}\)=\(\frac{b}{sinB}\)
\(\frac{20}{sin(52)}\) ×sin(90)
or
use sine rule \(\frac{opposite}{hypotenuse}\) = sinФ
\(\frac{20}{h}\)=sin(52)
rearrange-
20÷sin(52)=h
(h is x)
Explain the following in set builder form?
(i) {1,4,9,5,16,25............100}
(ii) {a,e,i,o,u}
Step-by-step explanation:
(i) Given that { 1,4,9,16,...,100}
It can be written as { 1²,2²,3²,4²,5²,...10²}
Set builder form :-
⇛ A = {x:x = n², n≤10,n€N}
(ii) {a,e,i,o,u}
These are vowels in the English alphabet
Set builder form:-
⇛ B = {x:x is a vowel in English alphabet }
What is the value of the expression below?
644,8
A. 16
B. 42
Answer:
the value of the expression is
Step-by-step explanation:
42
64^4/6
the answer is A. 16
PLEASE HELP 9 THROUGH
12 ILL MARK BRAINLEST
Answer:
9. - 7/12
10. -3.45
11. 1.844
Step-by-step explanation:
What is the role of the pentose phosphate pathway?
A hypothesis is a statement about a population or phenomenon that is testable through experiments or observations.
In statistical hypothesis testing, we have two types of hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha or H1).
The null hypothesis is a statement that there is no significant difference or relationship between the variables being studied. It represents the default assumption that the observations are due to chance.
For example, the null hypothesis for a study examining the effect of a new drug on blood pressure might be: "The new drug has no effect on blood pressure."
The alternative hypothesis is the opposite of the null hypothesis. It represents the hypothesis that the researcher wants to test and provides evidence against the null hypothesis.
In the same example, the alternative hypothesis might be: "The new drug does have an effect on blood pressure."
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Solve the inequality.
3x-5 ≥7
4
x> [?]
Enter the number that belongs in the
green box.
Solving the provided question, we can say that the value inequality equation we have is x≥4
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
the inequality equation we have is
3x-5 ≥ 7
3x ≥12
x≥4
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Find the number of terms in this polynomial. 7g7 + 10g4 – 6g3 + 3g2 - g
Answer:
If you have more than 4 terms you say polynomial with the certain number of terms you have. So the answer to this is polynomial with 5 terms.
Hope this helps.
(-3,-2)
(-3,2)
(-2,-3)
(-2,3)
Draw a line from each ordered pair to the description of its graph.
A point is placed 2 units left and 3 units down from the origin.
A point is placed 3 units left and 2 units up from the origin.
A point is placed 2 units left and 3 units down from the origin is (-2, -3) and a point is placed 3 units left and 2 units up from the origin is (-3, 2)
How to determine the ordered pairStatement 1:
Given that
A point is placed 2 units left and 3 units down from the origin.
This is represented as
(0 - 2, 0 - 3)
Evaluate
(-2, -3)
Statement 2:
A point is placed 3 units left and 2 units up from the origin.
This is represented as
(0 - 3, 0 + 2)
Evaluate
(-3, 2)
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Sasha believes her soccer team plays better at away games than home games. Her team played 12 games at home and 12 games away. She recorded the wins over this season. Based on these results what is the probability for home and away wins. Is she right about her team playing better away?
To determine the probability of home and away wins, we need to know the number of wins for each category. Let's assume that Sasha's team won 8 games at home and 10 games away.
The probability of a home win can be calculated by dividing the number of home wins by the total number of home games:
Probability of Home Win = Number of Home Wins / Total Number of Home Games = 8 / 12 = 2/3 ≈ 0.67
The probability of an away win can be calculated by dividing the number of away wins by the total number of away games:
Probability of Away Win = Number of Away Wins / Total Number of Away Games = 10 / 12 ≈ 0.83
Based on these calculations, the probability of an away win (0.83) is higher than the probability of a home win (0.67). Therefore, Sasha's belief that her team plays better at away games seems to be supported by the data, as they have a higher probability of winning in away games compared to home games.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
\( \sf \: x = 25\)
Step-by-step explanation:
Given equation,
→ (x - 7)2 = 36
Now the value of x will be,
→ 2(x - 7) = 36
→ (2 × x) - (2 × 7) = 36
→ 2x - 14 = 36
→ 2x = 36 + 14
→ 2x = 50
→ x = 50/2
→ [ x = 25 ]
Hence, the value of x is 25.
Answer:
x = 25
Step-by-step explanation:
(x-7)2 = 36
divide both sides by 2
x-7 = 18
add 7 to both sides
x = 25
How can linear approximation be used to approximate the change in y = f(x) given a change in x? To approximate the change Upper Deltay in the dependent variable when x changes from a to aplusUpper Deltax, use
Answer:
I only want free points
Step-by-step explanation:
Thank you for the free points.
The series [infinity]Σn=1 (-1)^n -1. 1/n^0.1 is absolutely convergent. Select one: O True False
The series [infinity]Σn=1 (-1)^n -1. 1/n^0.1 is absolutely convergent the given statement is true..
We are to determine whether the series ∞Σn=1(−1)n−11/n0.1 is absolutely convergent.
Let's start with the definition of absolute convergence.
A series is said to be absolutely convergent if the sum of the absolute values of the terms of the series converges. If the series is conditionally convergent and the sum of the series diverges to infinity when absolute values are taken, then the series is said to be divergent.
The general term of the series is given by
a_n = (-1)^n - 1/n^0.1
Let's take the absolute value of a_n
a_n| = 1/n^0.1
Since 0.1 < 1, the p-series p = 0.1 is a convergent series.
Therefore, |a_n| = 1/n^0.1 is a convergent series by comparison test.
Since the absolute value series converges, we can say that the original series also converges absolutely.
Thus, the given series ∞Σn=1(−1)n−11/n0.1 is absolutely convergent.
Hence, the given statement is true.
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Khloe invests money in an account paying a simple interest of 7% per year. If she
invests $140 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?
Answer: $149.8
Step-by-step explanation:
Find the 1% of the 140 which is 1.4 because 140/100 = 1.4
Times by 7 to get 7%. 1.4 x 7 = 9.8
Add them together. 140+9.8 = 149.8
Solve the system.
3x + 4y = 7
2x-y=1
What does x and y equal
Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
How to find a quadratic equation with y-intercept and vertex? Explain with examples.
To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.
To find a quadratic equation with the y-intercept and vertex, we can follow these steps:
Step 1: Identify the coordinates of the y-intercept. The y-intercept has the form (0, c), where c is the y-coordinate.Step 2: Identify the coordinates of the vertex. The vertex has the form (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic equation.Step 3: Substitute the coordinates of the y-intercept and vertex into the general form of the quadratic equation, y = ax^2 + bx + c.Step 4: Solve the resulting system of equations to find the values of a, b, and c.Step 5: Substitute the values of a, b, and c back into the general form of the quadratic equation to obtain the final equation.For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:
3 = a(0)^2 + b(0) + c
1 = a(-2)^2 + b(-2) + c
Simplifying these equations, we get:
c = 3
4a - 2b + c = 1
By substituting c = 3 into the second equation, we can solve for a and b:
4a - 2b + 3 = 1
4a - 2b = -2
2a - b = -1
By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:
y = x^2 + x + 3
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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.
Start with the standard form of a quadratic equation: y = ax^2 + bx + c, where a, b, and c are constants.Use the vertex form of a quadratic equation: y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.Substitute the vertex coordinates (h, k) into the equation to obtain the equation in vertex form.Use the y-intercept to find another point on the curve. The y-intercept has the form (0, c), where c is the value of y when x is zero.Substitute the coordinates of the additional point into the equation to obtain a system of two equations. Solve the system to find the values of a, b, and c.Substitute the determined values of a, b, and c into the standard form of the quadratic equation to obtain the final equation.Example:
Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).
Using the vertex form, we have y = a(x - 2)^2 - 1.Substituting the y-intercept coordinates, we get 4 = a(0 - 2)^2 - 1, which simplifies to 4 = 4a - 1.Solving the equation above, we find a = 1.Substituting the values of a and the vertex coordinates into the vertex form equation, we have y = 1(x - 2)^2 - 1.Expanding the equation and simplifying, we get y = x^2 - 4x + 3.The final quadratic equation with the given y-intercept and vertex is y = x^2 - 4x + 3.To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.
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A film starts at 19:30 the film lasts 104 minutes at what time does the film end?
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is 21:14. Split 104 minutes so it will be easier to calculate so it's 60 and 44. 60 minutes is 1 hour so add 1 hour to 19:30 which is 20:30 then there is 44 minutes left. There is 30 minutes left to make it 21:00 so there is 14 minutes left at the end and add that to 21:00 which is 21:14.
hope this helps,have a great day!!
~Pinky~
If a film starts at 19:30 and lasts 104 minutes.
The film will end at 21:14.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Example:
x + y + 2 is an expression.
We have,
Film start time = 19:30
Duration of the film = 104 minutes
1 hour = 60 minutes
Multiply 104/60 on both sides
104/60 x 1 hour = 104/60 x 60 minutes
1.73 hours = 104 minutes
The time the film will end:
= 19:30 + 1.73 hours
= 19:30 + 1 hour + 44 minutes
= 21:14
Thus,
The film will end at 21:14.
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Is (4, 2) is the solution to the system below?
Explain how you know by recording an audio response or by showing your work.
y=2x-6
x+y=8
Justin divided 403 by a number and got a quotient of 26 with a remainder of 13. What was the number Justin divided by
Crossover trial: A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to the other. The responses of the subjects are then compared using matched-pair methods. In an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from to , with larger numbers representing higher levels of pain. The results are listed below. Can you conclude that the mean pain level is more with drug B? Let μ1 represent the mean pain level with drug A and =μd−μ1μ2. Use the =α0.10 level and the P-value method with the TI-84 Plus calculator.
Subject 1 2 3 4 5 6 7
Drug A 5 4 6 6 5 2 1
Drug B 7 4 5 6 7 5 7
1. State the appropriate null and alternate hypotheses.
2. Compute the P-value. Round the answer to at least four decimal places.
3. Determine whether to reject H0.
4. State a conclusion.
Based on the given data from the crossover trial comparing two pain relievers (drugs A and B), we can conclude that there is evidence to suggest that the mean pain level is higher with drug B.
The appropriate null and alternate hypotheses are:
Null hypothesis (H0): μ1 = μ2 (There is no difference in the mean pain level between drug A and drug B)
Alternate hypothesis (H1): μ1 < μ2 (The mean pain level is higher with drug B)
To compute the P-value using the TI-84 Plus calculator, we need to perform a paired t-test on the data. By calculating the t-statistic for the paired differences and degrees of freedom, we can obtain the P-value associated with the observed difference. Using the P-value method, the obtained P-value is compared to the significance level (α = 0.10) to make a decision.
If the computed P-value is less than the significance level (0.10), we reject the null hypothesis. This indicates that there is sufficient evidence to support the alternative hypothesis, suggesting that the mean pain level is indeed higher with drug B.
Based on the results of the analysis, we can conclude that there is evidence to suggest that the mean pain level is more with drug B compared to drug A. However, it's important to note that this conclusion is based on the given data and the assumptions made during the analysis. Further studies with larger sample sizes and rigorous experimental designs may be needed to confirm these findings.
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I need help finding the rate of change can someone help me
Answer:
rate of change is 4.
Step-by-step explanation:
rate of change is the slope, so, pick any two relations given to us in the table.
(-3, -14) and (-1, -6).
slope = y2 - y1/ x2 - x1
slope = -6 - (-14)/-1-(-3)
slope = 8/2 = 4.
the rate of change is 4.
using the error formula (5.23), bound the error in tn(f) applied to the following integrals pi/2 integral 0 cos(x) dx
The required answer is the given integral ∫(0 to π/2) cos(x) dx.
Using the error formula (5.23), which states that the error E in tn(f) satisfies: we can bound the error in tn(f) applied to the following integral: ∫(0 to π/2) cos(x) dx. The error formula can be expressed as E_n(f) ≤ (M*(b-a)^(n+2))/((n+1)!*2^(n+1)), where M is the maximum value of the n+1-th derivative of f(x) = cos(x) on the interval [a, b].
we need to first determine the maximum value of the second derivative of cos(x) on the interval. Second derivative of cos(x) is -cos(x), which has a maximum absolute value of 1 .
In this case, the interval is [0, π/2], and we have:
a = 0
b = π/2
n = the degree of the approximation
The trapezoidal rule is a numerical integration method that approximates the area under a curve by dividing the region into trapezoids and summing their areas. to bound the error in tn(f) applied to the integral pi/2 integral 0 cos(x) dx using the error formula (5.23),
Since the cosine function and its derivatives are bounded by -1 and 1, we can set M = 1. The nth trapezoidal rule, denoted by uses n subintervals to approximate the integral of a function f(x) over the interval [a,b].
Now we need to find the error bound using the formula:
E_n(f) ≤ (1*(π/2)^(n+2))/((n+1)!*2^(n+1))
By calculating the error bound with this formula, we can estimate the accuracy of the tn(f) approximation when applied to the given integral ∫(0 to π/2) cos(x) dx.
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ANSWER ASAP FOR BRANETEST
Answer:
Step-by-step explanation:
\(5\frac{1}{4} =x\)
\(3\frac{3}{4} =y\)
x-y=?
so
?+y=x
which means
\(?+ 3\frac{3}{4} = 5\frac{1}{4}\)
i hope this helps
please help!!!!!! this is due soon
Use the general solution to solve 5 -6x = 8x + 17
If the forecast for two consecutive periods is 1,500 and 1,400 and the actual demand is 1,200 and 1,500 , then the mean absolute deviation is 1) 500 2) 700 3) 200 4) 100
200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
How to calculate the mean absolute deviation
The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.
Forecasted values are as follows: 1,500 and 1,400
Values in actuality: 1,200 and 1,500
Absolute differences:
|1,500 - 1,200| = 300
|1,400 - 1,500| = 100
Now, we calculate the MAD:
MAD = (300 + 100) / 2 = 400 / 2 = 200
Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
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The original price of a TV is $525. Eddie buys the TV for
14% off the original price. Two weeks later Chuck buys the
same TV for 19% off. How much more money did Eddie
spend than Chuck?
Grass can grow up to six inches in 7 days depending on the temperature, humidity, and time of year. At this rate, how tall will the grass grow in 28 days?
Answer:
24 inches
Step-by-step explanation:
if the temperature humidity and time of year is based on an average
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x+2y = -8
Answer:
f rxddx6fxyfxtxd5dx5xdc5rcf5cf55fccf5ctfctd5dx5dxx5rx5tex5erx7gx
ygyvuhUhws
Step-by-step explanation:
6x + 2y = -8
-6x -6x
2y = -6x - 8
y = (-6/2)x - 8/2
y = -3x -4
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months. Month 2 3 4 5 Sales 924 91
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.
One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.
In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.
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Sparky weighs 7 times as much as solo. How much does solo weight
Answer:
Divide sparkys weight by 7 and theres your answer for solo
Step-by-step explanation: not enough info to get the number