In integration the bindefinite integral of 1/xlnx is
ln(|u|)+C=ln(|lnx|)+C with the aid of using parts, we've discovered whilst the specified formula.
The vital of the 2 capabilities are taken, with the aid of using thinking about the left time period as first feature and 2nd time period as the second one feature.
This technique is referred to as Ilate rule.The vital of xlnx is same to (x2/2) lnx - x2/4 + C, wherein C is the mixing constant. We can compare this vital the usage of the technique of integration with the aid of using parts.
We have the vital:
[tex]∫1xlnxdx
Use substitution. Let u=lnx so that du=1xdx . Note that each of those are presently gift withinside the vital.
∫1xlnxdx=∫(1lnx)1xdx=∫1udu
This is a not unusualplace vital:
∫1udu=ln(|u|)+C
Since u=lnx :
ln(|u|)+C=ln(|lnx|)+C[/tex]
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Which values are solutions to the inequality?
3r≤4r−6
Select each correct answer.
Responses
r = 4
r = , 4
r = 5
r, = 5
r = 6
r, = 6
r = 7
Answer:
3r < = 4r - 6
3r - 4r < = -6
-r < = -6
r > = 6........it is 6 and 7
Step-by-step explanation:
Answer:
your answer would be 6, and 7.
Step-by-step explanation:
if michigan has a strictness level equal to 50 and has more than 55 available hospitals, what is the expected number of new cases per 100,000 in michigan according to the multiple regression model? round your answer to the nearest whole number (no decimal places).
The expected number of new cases per 100,000 in Michigan according to the multiple regression model is 930
In statistics, multiple regression model refers a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.
Here we have given that if Michigan has a strictness level equal to 50 and has more than 55 available hospitals,
And we need to find the expected number of new cases per 100,000 in Michigan according to the multiple regression model.
While we looking into the given question, we have identified the value of
Strictness level = 50
Available hospital = 55
New cases per day = 100,000
Then the expected number is calculated by using the multiple regression model is written as,
=> 50x + 55y ≤ 100,000
When we solve it graphically, then we get, the graph like the following,
As per the given graph, the expected number is 930.
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At 7:00am two groups of hikers begin 21 miles apart and head toward each other on the trail. The first group, hiking at an average of 1.5 miles per hour, carries tents, sleeping bags, and cooking equipment. The second group, hiking at an average speed of 2 miles per hour, carries food and water. How long it will be until the two groups of hikers meet. (hint solution sentence)
Answer: 6 hours
Step-by-step explanation:
The question asks how long until they meet.
First, you add 1.5 miles per hour and 2 miles per hour to get 3.5 miles per hour.
Then you divide 21/by 3.5 which gets you how many hours it takes for them to meet.
Which means 21/3.5 is 6 hours.
Determine whether the correspondence is a function. Is this correspondence a function? Yes No
No, this correspondence is not a function because a function is a relation between two sets of values in which each value of the first set corresponds to exactly one value in the second set.
In this case, there is no information given about the correspondence, so it is impossible to determine if it is a function or not.
A function is a special type of relation in which each value of the first set, sometimes referred to as the domain, is associated with exactly one value in the second set, called the range. A function must satisfy the property of functional uniqueness, meaning that each element of the domain is associated with exactly one element in the range. If a correspondence fails to meet this requirement, then it is not a function. Without knowing any more information about the correspondence, it is impossible to determine if it is a function or not.
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AABC has vertices A(2, 1) B(4, 4) and C(4,1) . ADEF has corresponding vertices D(7, 3)
E(9, 6) and F(9, 3) Which of the following describes a translation that would produce ADEF from the pre-image of triangle ABC ?
To the right five units, and up two units To the left five units, and down two units
To the left five units, and up two units
To the right five units, and down two units
A statement which describes a translation that would produce ΔDEF from the pre-image of triangle ΔABC include the following: A. To the right five units, and up two units.
What is a translation?
In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Next, we would determine the translation rule as follows;
ΔABC → ΔDEF = (2 + 5, 1 + 2) = D (7, 3)
ΔABC → ΔDEF = (4 + 5, 4 + 2) = E (9, 6)
ΔABC → ΔDEF = (4 + 5, 1 + 2) = F (9, 3)
Therefore, the translation rule is given by this mathematical expression ΔABC → ΔDEF = (x + 5, y + 2). This ultimately implies that, triangle ABC (ΔABC) was translated by five units to the right and up two units in order to produce triangle DEF (ΔDEF).
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What would be the measure of
30°
60°
90°
None of these choices are correct.
Answer:
60
Step-by-step explanation:
both triangles are 30 60 90, angle G is made up of 2 30 degree angles
30 plus 30 is 60
how large a sample is needed in exercise 9.2 if we wish to be 96% confident that our sample mean will be within 10 hours of the true mean?
A sample of at least 68 bulbs is needed to be 96% confident that our sample mean will be within 10 hours of the true mean.
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.96}{2} =0.02[/tex]
Now, we have to find z in the Z table as such z has a p value of [tex]1-\alpha[/tex] .
So it is z with a p value of 1-0.02 = 0.98, so z= 2.055
Now, find the margin M as such
[tex]M = Z*\frac{\sigma }{\sqrt{n} }[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:
[tex]\sigma = 40 , M = 10\\\\M = Z*\frac{\sigma}{\sqrt{n} } \\\\10 = 2.055*\frac{40}{\sqrt{n} } \\\\\sqrt{n} = 8.22\\\\n= 67.6[/tex]
Hence , a sample of at least 68 bulbs is needed to be 96% confident that our sample mean will be within 10 hours of the true mean.
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If the perimeter of triangle is 15 centimeters what is value of n
Answer:
5 cms
Step-by-step explanation:
This is assuming that it is equilateral and that n is the length of one side
Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.
The value of x for the given linear equation; 3 ( −4x + 5 ) = 12 is; 1 / 4.
What is the value of x for the given linear equation?It follows from the task content that the value of x in the given linear equation; 3 ( −4x + 5 ) = 12 is to to be determined.
Since the given expression is;
3 ( −4x + 5 ) = 12
By the distributive property; we have;
-12x + 15 = 12
-12x = 12 - 15
-12x = -3
x = -3 / -12
x = 1/4.
Therefore, the required value of x in the given linear equation is; 1 / 4.
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Use these clues to find the number.
It is an even number.
* It is greater than 6 and less than 12.
* It has a 0 in the ones place.
Answer:
10
Step-by-step explanation:
0 in the 0nes place but less than 12. more than 6. so it has to be 10.
Look at thetriangles diagram.
The value of x is ___ °
By solving a linear equation we will see that the value of x is 10.
How to find the value of x?
Remember that for any triangle, the sum of all internal angles is always equal to 180°.
Here only look at triangle BCD, we know that:
m∠DBC = m∠ABC = 3x
m∠BCD = m∠ACB + m∠ABD = 2x + 65°
m∠ADC = 65°
Now we can write the linear equation as:
3x + 2x + 65° + 65° = 180°
5x + 130° = 180°
5x = 180° - 130°
5x = 50°
x = 50°/5 = 10°
The value of x is 10.
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Find the sum of the first 6 terms of the given sequence. The sequence is either arithmetic or geometric.
-1, 7, -49, ...
The Sum of the first six terms of the progression is 14706
What is Geometric Progression?
A geometric progression, also known as a geometric sequence, is a non-zero numerical series in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.
Solution:
On carefully observing
We can state that, the Common Ratio is -7
Sum(n) = a([tex]r^{n}[/tex] - 1) / r - 1
Sum(6) = -1 (-7^6 - 1) / -7-1
Sum(6) = -1(117648)/-8
Sum(6) = 14706
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Please help, I've been having trouble with this one!
Solve the system by elimination. Check your solution.
3x-30=y
7y-6=3x
(find x and y)
The value of x and y are (11.66,5)
Given that,
3x-30=y-----------1
7y-6=3x-----------2
Now, putting the value of equation 1 in equation 2 we get
⇒7(3x-30)-6=3x
⇒21x-210=3x
⇒21x-3x=210
⇒18x=210
⇒x=11.66
now put the value of x in equation 1 we solved earlier we get
⇒3×11.66-30=y
⇒35-30=y
⇒y=35-30
⇒y=5
Therefore the value of x is 11.66 and the value of y is 5
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I NEED HELP!!!!!!!!!!!!
Step-by-step explanation:
the surface area is the combination of
the base (square) area
the 4 side (triangle) areas.
the base area is : 10×10 = 100 in²
the area of a triangle is
baseline × height / 2
we know the baseline of each of the 4 triangles (10 in) and we know the height (14 in).
one triangle area is
10×14/2 = 70 in²
we have 4 of these triangles (each side of the pyramid) :
4×70 = 280 in²
the total surface area of the pyramid is
100 + 280 = 380 in²
Suppose you conduct a test and your p-value is equal to {eq}0.93 {/eq}. What can you conclude?
a. Reject {eq}H_0 {/eq} at alpha equal to 0.10, 0.05, and 0.01.
b. Do not reject {eq}H_0 {/eq} at alpha equal to 0.10, 0.05, or 0.01.
c. Reject {eq}H_0 {/eq} at alpha = 0.10 but not at alpha = 0.05.
d. Reject {eq}H_0 {/eq} at alpha = 0.05 but not at alpha = 0.01.
e. Reject {eq}H_0 {/eq} at alpha = 0.01 but not at alpha = 0.05.
f. Reject {eq}H_0 {/eq} at alpha = 0.05 but not at alpha = 0.10.
Let's say you run a test, and your p-value comes out to be equal to 0.93. Do not reject [tex]H_{o}[/tex] at alpha equal to 0.10, 0.05, or 0.01 according to this conclusion.
The significance level is the likelihood that the researcher will conclude that the null hypothesis is false even though it is true. The validity and correctness of the data set are increased when the lower values of the significance level are used during the hypothesis testing.
The null hypothesis is disregarded if the p-value is less than the significance level.
Information Given: p=0.93
The test findings would be insignificant because the p-value is higher than the thresholds of 0.01, 0.05, and 0.10. This leads to the conclusion that at 0.01 and 0.05 and 0.10, the null hypothesis cannot be ruled out.
Therefore, option (b)—Do not reject [tex]H_{o}[/tex] at alpha equal to 0.10, 0.05, or 0.01—is the appropriate response.
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a magazine publisher mailed a survey to all of its subscribers asking if the magazine is helpful in their daily lives. of those who responded, 78% replied that the magazine was helpful. the proportion that replied that the magazine is helpful is known
The percentage of respondents who said the magazine is useful is referred to as the population parameter of interest.
Is the percentage of respondents who said the publication is useful?The percentage of respondents who said the magazine is useful is referred to as the population parameter of interest.The demographic metric of interest is the percentage of respondents who indicated that the magazine is useful.A population parameter is a metric that quantifies a population numerically or a figure that conveys information about a large group or population.the average body weight of American women in their middle years. All American women in their middle years make up the population, and the parameter is.the typical size of a butterfly. This information about the total butterfly population makes it a parameter.the class X average height. This qualifies as a parameter because it provides information about class X as a whole.The demographic metric of interest is defined as the proportion of respondents who felt the magazine is useful.To learn more about population parameter refer to:
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Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation. Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales. Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.
The cost incurred by Rachael's restaurant as fixed, variable or mixed are given below.
What is restaurant?
A restaurant is a location where you can consume food while paying for it. In restaurants, a waiter or waitress will typically bring your food to your table. Breakfast, lunch, and dinner are all offered at the restaurant. The restaurant's food was delectable, and the waitstaff was courteous.
Given:
Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation.
Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales.
Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.
The cost incurred by Rachael's restaurant as fixed, variable or mixed are,
a. Advertisement c cost relative to number of customers Fixed
b. Rental cost relative to number of restaurant Variable
c. Cooks salaries relative to number of customer Fixed
d. Cost of Supplies (cups, plates, spoons, etc.) relative
to number of customer Variable
e. Manager's compensation relative to number of customer Mixed
f. Servers' salaries relative to number of Restaurants Variable
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Complete question:
Complete question is attached below.
lost-time accidents occur in a company at a mean rate of 0.3 per day. what is the probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3? assume poisson situation. p(x
The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295
Binomial Distribution
The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.
In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.
Mean rate of lost time accident = 0.3 per day
probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.
n = 7
Using binomial distribution formula :
P(x ≤3)
Probability of success (p) = 0.3
1 - p = 1- 0.3 = 0.7
nCx * p^x * (1 - p)^(n-x)
Using the binomial probability distribution calculator to save computation time :
P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668
P(x ≤3) = 0.7295
0.7295
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How do you simplify 25^(3/2)?
Answer:
I'm sure the answer is 125
Step-by-step explanation:
Hope it helps ; )
write 312 as a product of prime factors
Answer: 312=(2)(2)(2)(3)(13)
Step-by-step explanation:
312 | 2
156 | 2
78 | 2
39 | 3
13 | 13
Hence, 312=(2)(2)(2)(3)(13)
the vertices of a triangle are A(-2,1), B(2,2) and C(6,-2). find the equation of the altitude AD drawn from A to BC
Answer:
To find the equation of the altitude from point A to side BC, we can use the formula for the equation of a line in point-slope form, which is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
We can find the slope of the line by using the formula for the slope of a line between two points:
m = (y2 - y1)/(x2 - x1)
We can use this formula to find the slope of line BC, which is the line connecting points B and C. Substituting the coordinates of these points into the formula gives us:
m = (2 - (-2))/(2 - 6) = 4/-4 = -1
Next, we can use the point-slope form of the equation of a line to find the equation of the altitude from point A to line BC. Substituting the coordinates of point A and the slope of line BC into the point-slope formula gives us:
y - 1 = -1(x + 2)
This is the equation of the altitude from point A to line BC.
Step-by-step explanation:
SELF EXPLANATORY
given: line segment wz bisects line segment xy. line segment xy bisects line segment wz. to prove: triangles wax and zay are congruent. statements reasons 1. segment wz bisects xy. 1. given 2. segments xa and ya are congruent. 2. when a segment is bisected the resulting segments are congruent. 3. segment xy bisects wz. 3. given 4. 4. when a segment is bisected the resulting segments are congruent. 5. angles wax and zay are congruent. 5. vertical angles of intersecting lines are congruent. 6. triangles wax and zay are congruent. 6. triangles with two sides and an included angle equal are congruent. what should be in statement 4 to complete the proof? a angles xwa and yza are congruent. b segments wa and az are congruent. c segments wx and yz are congruent. d angles wxa and zya are congruent.
This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.
What are angles?When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
When two lines meet at a point, an angle is created.
An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.
Angles are a common occurrence in daily life.
Angles are used by engineers and architects to create highways, structures, and sports venues.
Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.
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Substitution Method: x+y (1)
2x-y=2 (2)
Find x and y.
Answer:
x = 8/3
y = 10/3
Step-by-step explanation:
We add (1) and (2) to get 3x = 8. This means that x = 8/3. We substitute it back into (1) to get 8/3 + y = 6 which shows that y = 10/3
a jar contains 4 red, 7 white and 10 blue marbles. a child selects two marbles at random from the jar. find the probability that the first is red and the second is white.
The probability that the first is red and the second is white is 4/21 or 0.190476.
The total number of marbles in the jar is 4 red, 7 white and 10 blue. This means there is a total of 21 marbles.
The probability of selecting a red marble first is 4/21 (4 out of 21 marbles are red).
The probability of selecting a white marble second is 7/20 (7 out of the remaining 20 marbles are white).
The probability of selecting a red marble first and a white marble second is 4/21 x 7/20 = 28/420 = 4/60 = 0.190476
The probability of selecting two marbles at random from the jar is calculated by multiplying the individual probabilities of selecting each marble. The probability of selecting the first marble is 4/21 (4 out of 21 marbles are red) and the probability of selecting the second marble is 7/20 (7 out of the remaining 20 marbles are white). Thus, the probability of selecting a red marble first and a white marble second is 4/21 x 7/20 = 28/420 = 4/60 = 0.190476.
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a ball is thrown upward in the air from a roof at a height of 40 ft. the equation for the path the ball take can be modeled by: h(t)=-16t² + 14t + 40. with t being time in second. How many seconds will it take the ball to hit the ground?
The number of seconds will it take the ball to hit the ground will be 2.078 seconds.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.
As per the given,
h(t)=-16t² + 14t + 40
The time when the ball hit the ground h(t) = 0
-16t² + 14t + 40 = 0
-8t² + 7t + 20 = 0
8t² - 7t - 20 = 0
t = (7 ± 26.25)16
t = 2.078 seconds
Since time can never be negative thus, 2.078 seconds will be correct.
Hence "The number of seconds will it take the ball to hit the ground will be 2.078 seconds".
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The population of pets in Mr. Jones neighborhood in Bartlett has declined in the pass year by roughly 30%. Residents hypothesize that this is due to predation by coyotes. The current pets in Mr. Jones neighborhood is 90. Approximately how many pets were there originally?
Answer:
128 4/7
Step-by-step explanation:
100%-30%=70%
90=.7X
900=7X
128 4/7=X
If a+ß+0 =πº, prove that: sin(a+ß-0) + sin(B+0-a) + sin(0+a-B) = 4sina.sinß.sin0
Answer: A+B+C=π⇒A+B=π−C
Step-by-step explanation: I think not sure hope this helps :)
An investment of $500 is made at 2.8% nominal yearly interest compounded quarterly. Write an equation that models the amount A the investment is worth t years after the principal has been invested
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra IFunctions
Function NotationCompounded Interest Rate Formula:
[tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^t[/tex]
Let's compile what we know (what we are given).
An investment of $500 means that our principle amount P equals 500.
2.8% nominal yearly interest means that our rate r equals 0.028.
Compounded quarterly means that our compounded rate n equals 4.
So, we have:
[tex]\displaystyle\begin{aligned}P & = 500 \\r & = 0.028 \\n & = 4 \\\end{aligned}[/tex]
Step 2: WorkIn order to find an equation that models the final amount A in terms of t years, we can simply substitute in our known variables:
[Compounded Interest Rate Formula] Substitute in variables:∴ our equation that models the amount A the investment is worth t years after the principle has been invested is:
[tex]\displaystyle \boxed{ A = 500(1.007)^t }[/tex]
___
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___
Topic: Algebra I
Unit: Interest Rate Formulas
5 percent of a number is 23
1 percent of the same number is 4.6
work out 16 percent of the number
16% of a number is 73.6 by multiplying it by 5%, which is 23, and 1%, which equals 4.6.
Given that,
We have to calculate 16% of a number by multiplying it by 5%, which is 23, and 1%, which equals 4.6.
We know that,
Let the number be x
5% of a number = 5/100x
Now we are given that 5 percent of a number is 23
So,
5/100x=23
x=23×100/5
x=460
So, the number is 460
Now we are supposed to find the 16% of the number
=16/100×460
=73.6
Therefore, 16% of a number is 73.6 by multiplying it by 5%, which is 23, and 1%, which equals 4.6.
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From the parking lot at the red hill shopping center, the angle to the top of the hill is about 25°. From the base of the hill angle of elevation to the top of the hill is 55°. The horizontal distance between these two sight points is 740 feet. How high is red hill??
