Solve for x to the nearest tenth.ln (x + 1) = 7
Answers
Given that
\(\ln (x+1)=7\)To solve for x, applying log rules
Where
\(\begin{gathered} \ln N=x \\ N=e^x \end{gathered}\)Applying the log rule above to the given expression
\(\begin{gathered} \ln (x+1)=7 \\ e^{\ln (x+1)}=e^7 \\ x+1=e^7 \end{gathered}\)Solve for x, i.e make x the subject
\(\begin{gathered} x+1=e^7 \\ x=e^7-1 \\ x=1096.63316-1 \\ x=1095.63316 \\ x=1095.6\text{ (nearest tenth)} \end{gathered}\)Hence, x = 1095.6 (nearest tenth)
Related Questions
what is 1.30 in word form?
Answers
Answer:
one and thirty thousand seven hundred sixty-nine hundred-thousandths
Step-by-step explanation:
Answer:
one and thirty hundredths
Step-by-step explanation:
One would be 1, the and would stand for the decimal points, and thirty hundredths means the .30.
some adults and children are watching a musical there are n children there are 25 fewer adults
Answers
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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If y varies directly as x
and x= 4 when y = 14,
find y when x = -10.
Answers
14=k4
14=3.5 x 4
Y=3.5X
Y=3.5 x -10
Y=-35
Can anyone help me find the correct angle for ZWP?
Answers
Answer:
56 degrees
Step-by-step explanation:
Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).
You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)
A ladder is leaning against a building, forming a 70° angle with the ground: The base of the ladder is 8.2 ft from the base of the
building.
What is the length of the ladder?
Round your answer to the nearest tenth of a foot.
22.5 ft
24.0 ft
28.0 ft
28.7 ft
Answers
The length of the ladder that is leaning on the building would be = 24ft. That is option B.
How to determine the length of the ladder?To determine the length of the ladder, the sine rule needs to be obeyed. That is
= a/sinA = b/sinB
Where;
a = 8.2 ft
A = 180-( 70+90
= 180- 160
= 20°
b = X
B = 90°
That is;
8.2/sin20° = b/sin90°
Make b the subject of formula;
b = 8.2×1/0.342020
= 23.9
= 24 ft
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14: Name all the diagonals of pentagon ABCDE(And then I just need help with question 15 and 16)
Answers
In order to find the congruent triangle to EAR, we need to find the congruence between their corresponding parts.
According to the given figures, triangle EAR is congruent to triangle TIN because angle E is congruent to T, angle A is congruent to angle I, angle R is congruent to angle N.
Therefore, triangle EAR is congruent to triangle TIN.-5 = -36 / m + m
pls help me with this question hurry
This is 6 grade work
Answers
The solution of the given quadratic equation -5 = -36 / m + m is,
m = - 9 or m = 4
The given equation is
-5 = -36 / m + m
After re arranging it we get,
m² + 5m - 36 = 0
This is nothing but quadratic equation,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
So now we can write,
⇒ m² + 9m - 4m - 36 = 0
⇒ m(m + 9) - 4(m + 9) = 0
⇒ (m + 9)(m - 4) = 0
Therefore,
⇒ (m + 9) = 0 or (m - 4) = 0
⇒ m = - 9 or m = 4
Thus,
The solution of the given expression is
m = - 9 or m = 4
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what is the reminder when X³ +4X² - 2X + I is divided by X + 1 what is the reminder when X³ + 4X² - 2X + I is divided by X + 1
Answers
Answer:
6
Step-by-step explanation:
Lisa watches for an average of 90 minutes per day on weekends and a average 135 minutes per day on the weekends what is the ratio of the average number of minutes he watches tv on weekdays
Answers
Answer:
2:3
Step-by-step explanation:
minutes per day on weekdays:minutes per day on weekends
90:135
It can be written in simpler form, because both numbers can be divided by 45
90÷2=45 and 135÷45=3
The ratio is 2:3.
Bob has 54 more five-dollar bills than ten-dollar bills. The number of five-dollar bills he has
is 7 times that of ten-dollar bills. How many dollars does Bob have in all?
Answers
Answer:5000 sum
Step-by-step explanation:
How many 50ml can be filled from 5L
Answers
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answers
Answer:
2
Step-by-step explanation:
1+1=2
A student wants to compare the amount of money that two local movie theaters make over a two-week period for the last nightly showing of a particular movie. The following box plots show the data for the amount of money each theater makes over the period. Compare the median of each box plot.
Please help it’s due in 3 minutes
Answers
The medians are about the same.
Option C is the correct answer.
How to solveThe median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.
We have,
Movie theater 1.
From the box plot given,
The median is 995.
Movie theater 2.
From the box plot given,
The median is 995.
Thus,
The median in both the box plot is the same.
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Diego drank x ounces of juice. Lin drank 1/8 less than that.
Answers
Answer:
Step-by-step explanation:
Perry mixed 5/8 gallon of red paint and 3/8 gallon of yellow
paint to make the right shade of orange paint. He needs
2 gallons of orange paint to paint the basement floor. How
many gallons of red and yellow paint should Perry use to
make enough orange paint to cover the floor?
Answers
Answer:
1 1/4 gallon of red paint and 3/4 gallon of yellow paint
Step-by-step explanation:
Since 5/8 and 3/8 gallons of each color are needed to make just one gallon, you can double each one to get 2 gallons of orange paint.
find the perimeter of the composite figure. 11 19.5 16 m 18m
Answers
The perimeter of the composite figure that is given above would be = 96.6m.
How to calculate the perimeter of the given figure?To calculate the perimeter of the given shape, it has to be divided into two.
First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)
Where ;
length = 16m
width = 11m
perimeter = 2(16+11)
= 2×27
= 54m
The second shape:
Perimeter of triangle = l+w+h
where;
length = 18-11 = 7m
width = 16m
height = 19.5m
perimeter = 7+16+19.5 = 42.5m
Therefore, the perimeter of the shape = 54+42.5 = 96.6m
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In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answers
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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Task 4:
Martin has a triangular garden patch in his backyard, represented by AEXY. He wants to extend the garden by creating a new
border DF that is parallel to XY, where XY = 0.64. The length of XY on the existing border is 16 feet.
DF
EY= (14x-7.5), YF = (6x), and EX = (12x-7).
E
X
O
F
(A) What is the length of DF along the new border? DF =
(B) Solve for the value of x.
X =
(C) What is the length of XD? Do not round.
XD =
Do not round.
Do not round.
Do not round.
Answers
The length of DF along the new border is 41 feet. The value of x is 8.5. The length of XD is 95 feet.
What are Similar Triangles?Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Triangular garden patch in his backyard, represented by AEXY.
Border DF that is parallel to XY, where XY/DE = 0.64.
The length of XY on the existing border is 16 feet.
EY = (14x-7.5), YF = (6x), and EX = (12x-7).
We can find the length of DF by using the ratio given in the problem. Since XY/DE = 0.64, we have DE = XY / 0.64 = 16 / 0.64 = 25.
Therefore, the length of DF is 25 + 16 = 41 feet.
To find the value of x, we can use the equations given in the problem. We are told that EY = 14x - 7.5 and YF = 6x, so adding these equations gives us the length of EF = EY + YF = 14x - 7.5 + 6x = 20x - 7.5.
We are also told that EX = 12x - 7, so adding this to EF gives us the length of FX = EX + EF = 12x - 7 + 20x - 7.5 = 32x - 7.5.
We know that FX is the same as DF, so 32x - 7.5 = 41.
Solving this equation for x gives us x = 8.5.
Finally, to find the length of XD, we can use the equation EX = 12x - 7. Substituting in the value of x that we found above, we get :
EX = 12(8.5) - 7 = 102 - 7 = 95.
Therefore, the length of XD is 95 feet.
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Expand and Simplify (x-2)^2
options
x^2+4x+4
x2 − 4
x^2 - 4x + 4
x^2+4
Answers
Answer:
\(\boxed{\ x^2-4x+4 \ }\)
Step-by-step explanation:
\((x-2)^2 = (x-2)(x-2)=x(x-2)*-2(x-2)=x^2-2x-2x+4=x^2-4x+4\)
Can you please help me with this?
Answers
A teacher wants to know students post-graduation plans. He surveys his homeroom class and learns that most students plan to become soldiers. The inference is valid or not valid
Answers
Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.
The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.
An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.
However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.
In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.
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Can someone help me with 18 and 20 please
Answers
Answer:
both are b
Step-by-step explanation:
the point is equal to -2 because there is a point on -2 and with 20 it b because 2 time 10 is 20 +26 makes 46 which makes 43 less than 46
Please help my last tutor couldn’t and I don’t know what to do.
Answers
The first part
continuation (second part)
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
Answers
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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The area of a rectangle is 36x^2 — 100y^2. Determine the length and the width of the rectangle.
Answers
Answer:
the length is represented by (6x + 10y) and the width by (6x - 10y)
Step-by-step explanation:
36x^2 - 100y^2 is the difference of two squares, so we need only factor this expression to obtain the length and width.
Recall that a similar difference, a^2 - b^2, comes out to (a - b)(a + b).
Thus, (36x)^2 = (100y)^2 = (6x - 10y)(6x + 10y).
Let's assume that the greater measurement, the length, is represented by (6x + 10y) and the width by (6x - 10y)
Find the slope of the line below. Be careful when counting, paying attention
to the scaling of each axis. Your answer should be simplified,
100
90
80
70
60
MONEY EARNED
50
40
30
20
10
1 2 3 4 5 6 7 8 9 10
HOURS WORKED
Answers
Answer:
The slope is 3/4!
Step-by-step explanation:
A new crew of painters takes two times as long to paint a small apartment as an experienced crew. Together, both
crews can paint the apartment in
6 hours. How many hours does it take the experienced crgy
paint the
apartment?
It takes
hours for the experienced crew to paint the apartment.
The solution is
Answers
Answer: Hence, the time taken by the experienced crew would be 9 hours.
Step-by-step explanation:
Bill buys a large can of paint. The size of the can is measured in which unit?
Answers
Answer: Gallons
Good Luck!
If Bill buys a large can of paint. The size of the can is measured in Gallons.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity
Given that Bill buys a large can of paint.
We need to find the unit of measuring the size of the can.
A Unit of measure is the actual unit in which the associated values are measured.
The dimensionality of the associated conceptual domain must be appropriate for the specified unit of measure.
The size of the can is measured in Gallons
So if Bill buys a large can of paint then it can be measured in gallons.
Hence, if Bill buys a large can of paint. The size of the can is measured in Gallons.
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A Biology test contains 10 multiple choice questions each with 5 choices and one correct answer. If a law school student just randomly guesses on each of the 10 questions, i.e., the probability of getting a correct answer on any given question is 0.2. Assume that all questions are answered independently. (a) What is the probability that the student answers at least 9 questions correctly
Answers
Answer:
0.0004% probability that the student answers at least 9 questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student guesses the correct answer, or he does not. All questions are answered independently. This means that we use the binomial distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
In this question, we have that:
\(n = 10, p = 0.2\)
What is the probability that the student answers at least 9 questions correctly
\(P(X \geq 9) = P(X = 9) + P(X = 10)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} = 0.000004\)
\(P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0 \)
\(P(X \geq 9) = P(X = 9) + P(X = 10) = 0.000004 + 0 = 0.000004\)
0.0004% probability that the student answers at least 9 questions correctly
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answers
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65