Answer:
Step-by-step explanation:
Let us solve the equation for X-
-1+log 6 (2x+3)-log 6 (2x)=0
adding +1 to both sides-
-1+1+log 6(2x+3)-log 6 (2x)=0+1
log 6(2x+3)-log 6 (2x)=1 . . . (1)
using logarithmic rule,
log a - log b= log(a/b)
equation (1) becomes,
log [6(2x+3)/6(2x)]=1 . . .(2)
equation (2) becomes,
log[(2x+3)/2x]=1....(3)
Again using the logarithmic rule,
log a = b
is equivalent to 10∧b = a
hence equation 3 becomes,
10∧1= (2x+3)/2x
i.e. 10 = (2x+3)/2x. . .(4)
multiplying both sides by 2x, considering x is not 0.
equation( 4) becomes
20x = 2x+3. . .(5)
subtracting 2x from both sides
equation (5) becomes,
18x=3
dividing both sides by 3,
we get,
x=6
Hence value of x is 6.
read more about the logarithmic rule:-
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The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50.
Is there a question to answer?
Suppose that shoe sizes of American women have a bell shaped distribution with a mean of and a standard deviation of Using the empirical rule what percentage of American women have shoe sizes that are at least 6,887 Please do not round your answer .
Answer:
i dont know
Step-by-step explanation:
Solve for f(-3)
f(x)=5-x
f(-3)= ?
pls helpppp
Only one question pls help
Cos x = 5 / 9 ==》 Cos x = 0.55
==》 x = 56 degrees
Emily wants to find out if the carpool line around her school causes too much traffic on neighborhood roads. Which is a valid sample for her survey?
Answer:
25 families living near the school
Step-by-step explanation:
Answer:
25 families living near the school :D
Step-by-step explanation:
the answer is report you welcome
Answer:
report
Step-by-step explanation:
Answer:
Step-by-step explanation:
Report???? What
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP HELP HELP HELP - A right triangle has a leg length of 21 inches and a hypotenuse length of 29 inches. What is the length of the other leg? *
Answer:
[tex]20[/tex]
Step-by-step-Explanation:
Remember, the Pythagorean Theorem.
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]21^{2} + b^{2}=29^{2}[/tex]
[tex]29^{2} -21^{2} =400[/tex]
sq rt of [tex]400=20[/tex]
A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. Which of the following is an appropriate pair of hypotheses for the manager to use?
A. H0 : Work experience is independent of the time of an employee's shift.
Ha, : Work experience is dependent on the time of an employee's shift.
B. H0 : Employees with over 20 years of experience are just as likely to start work
at 8PM
Ha : Employees with over 20 years of experience are less likely to start work
at 8 P.M.
C. H0 : There is an association between work experience and an employee's shift.
Ha : There is no association between work experience and an employee's shift.
D. H0 : For each shift, there is no difference between the proportions of work
experience level
Ha : For each shift, there is a difference between the proportions of work
experience level.
E. Ha : Among those in the sample, the proportion of employees for each work
experience level did not differ by shift.
Ha : Among those in the sample, the proportion of employees for each work
experience level did differ by shift.
Answer:
An appropriate pair of hypotheses for the manager to use is:
C.
H0 : There is an association between work experience and an employee's shift.
Ha : There is no association between work experience and an employee's shift.
Step-by-step explanation:
These research hypotheses compare the incidence of employee's work experience and the baseline group (the employee's shift).
These hypotheses tests are statistical tools which assess whether or not there is an association between the two variables (work experience and shift).
The null hypothesis test will provide the probability of the type 1 error (p-value).
Based on the result, the research will accept or reject the null study hypothesis.
Answer:
A) H0 : Work experience is independent of the time of an employee’s shift.
Ha : Work experience is dependent on the time of an employee’s shift.
Step-by-step explanation:
A chi-square test of independence is appropriate. The null hypothesis expresses that there is not an association between two categorical variables (work experience and time of shift) and the alternative hypothesis expresses that the categorical variables are associated.
a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.
Answer:
A
Step-by-step explanation:
The statement 'the bike distance is greater than the run distance.' must be true.
The correct answer is option D.
What is distance?"It is the length of the line joining the two points."
Angle properties:In any triangle,
the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.For given example,
We have given two angles of triangle.
65° and 57°
We know, the sum of all angles of triangle is 180°.
Let 'x' be the remaining angle.
⇒ x + 65° + 57 = 180°
⇒ x +122° = 180°
⇒ x = 58°
We know,
In any triangle,
- the smallest side and smallest angle are opposite one another.
- the mid-sized side and mid-sized angle are opposite one another.
- the largest side and largest angle are opposite one another.
Here,
57° < 58° < 65°
⇒ Run < Bike < Swim
This means, the statement 'the bike distance is greater than the run distance.' is correct.
The correct answer is option D.
Learn more about angle here:
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Find the area of the trapezoid.
22.2 cm
9.86 cm
8.52 cm
[? ]cm2
Enter the exact answer. Do not round
Answer:
151.4496
Step-by-step explanation:
it has not been rounded or anything that is the exact answer
Answer: 151.45 (151.4496)
Step-by-step explanation:
Formula: A = (a+b)/2 * h
Base = 22.2
Base = 8.52
Height = 9.86
Do the following:
(22.2+8.52)/2 * 9.86 = 151.4496
Find the polar coordinates of the point. Then, express the angle in degrees and again in radians, using the smallest possible positive angle.
(2√3,-2)
The polar coordinates of the point are
Answer:
(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
Step-by-step explanation:
Given the rectangular coordinate
(2√3,-2)
x = 2√3
y = 2
For polar coordinate;
x =r cos theta
y = rsin theta
r = √x²+y²
r = √(2√3)²+(-2)²
r = √4(3) + 4
r = √12+4
r = 4
theta = arctan(y/x)
theta = arctan(-2/2√3)
theta = arctan(-1/√3)
theta = -30
theta = 180 - 30
theta = 150degrees
x = 4cos 150
y = 4sin150
The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
The polar coordinates of the point are
Pls Help will give brainliest
2) The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given determine a unique triangle (one triangle), determine more than one triangle, or cannot make a triangle. Explain how you know this.
a) 3 in., 6 in., 10 in.
b) 40°, 65°, 75
If Quamie purchased 5 pencils for 20¢, how much will 20 pencils cost?
Answer:
80 cents
Step-by-step explanation:
Answer:
80 cents
Step-by-step explanation:
if you multiply 5 by 20 cents, you will get 100, now, if you know where I'm going, every time she buys 5 pencils she pays 20 cents, so if she buys 20 pencils, it will cost her 80 cents, Hope this helped! mark me brainiest if you can!
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. Assuming that the population standard deviation is 3217kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance
Answer:
The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.
Step-by-step explanation:
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.
This means that the null hypothesis is:
[tex]H_0: \mu = 10941[/tex]
A local power company believes that residents in their area use more electricity on average than EIA's reported average.
This means that the alternate hypothesis is:
[tex]H_a: \mu > 10941[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
10941 is tested at the null hypothesis:
This means that [tex]\mu = 10941[/tex]
To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:
This means that [tex]n = 115, X = 11425, \sigma = 3217[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}[/tex]
[tex]z = 1.61[/tex]
Pvalue of the test:
Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.
Looking at the z-table, z = 1.61 has a pvalue of 0.9463.
1 - 0.9463 = 0.0537
The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.
What is 77 divided by 10
Answer:
7.7
Step-by-step explanation:
Answer:
77 divide by 10 answer is 7.7
PLEASE HELP !!!!!
An angle measures 52° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
64° and 116°
Step-by-step explanation:
2x + 52° = 180°
2x = 128°
x = 64°
Please help me my head hurt
Answer:
my head hurts also
Step-by-step explanation:
PLEASEEE HELP I WILL GIVE YOU BRAINIEST!!!!!
how did snidely spellbinder write a four latter word that begins and ends with e answers
Answer:
He wrote the word "ease"
Write the equation of the line in fully simplified slope-intercept form.
Additional Activities
BRAIN-COMPATIBLE
Activity 3
Directions: Determine the variable and constant in the given algebraic expression and
equation. Write your answer in your notebook.
Algebraic Expression and Equation
Variable
Constant
1) three more than y
2) p multiplied by 7
3) the quotient of x and four
4) sixteen subtracted from ten times k
5) twice the difference between twenty and
9
6) six times p decreased by twelve
7) twenty taken from eight-timesh
8) four times the sum of five and x
9) f multiplied by fifteen
10) twice d added to forty
Answer:
1. C: three | V: y
2. C: 7 | V: p
3. C: four | V: x
4. C: sixteen, ten | V: k
5. C: two, twenty | V: g (I believe that's a "g" and not a "9" due to OCR scanning! and even logically that should be a letter to represent the variable so that the expression is correct)
6. C: six, twelve | V: p
7. C: twenty, eight | V: h
8. C: four, five | V: x
9. C: fifteen | V: f
10. C: two, forty | V: d
Rewrite 2/5 and 4/11 so that they have a common denominator
Answer:
22/55 and 20/55
Step-by-step explanation:
multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55
Given the frequency table what percentage of the students in grade 11-12 like rock music round to the nearest whole percent
Rap rock country row total
Grades 9-10. 40. 30. 55. 125
Grades 11-12. 60. 25. 35. 120
Column totals. 100. 55. 90. 245
A 10%
B. 21%
C. 25%
D 45%
9514 1404 393
Answer:
B. 21%
Step-by-step explanation:
The number of students in grade 11-12 is given in the total column: 120.
The number of those who like rock music is given in the second column: 25.
Then the percentage in 11-12 grade who like rock music is ...
25/120 × 100% ≈ 20.833% ≈ 21%
please help, thank you (brainly if ur right)
Answer:
SAS ~
Step-by-step explanation:
ALGEBRA
tell whether the given value is a solution of the equation. (yes or no)
1. x+16=20;x+4
2. p-4+28;p+32
3. 4w+44;w=10
4. y/6= 6;y=24
Step-by-step explanation:
1. yes 4+16 = 20
2. yes 32 - 4 = 28
3. yes 4(10) = 40
4. no 24/6 = 4
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
1.yes
2.yes
3.yes
4.no
Suppose that a random sample of twenty-year-old men is selected from a population and that these men's height and weight are recorded. A regression of weight on height yields , where Weight is measured in pounds and Height is measured in inches. What is the regressions weight prediction for someone who is inches tall
Answer:
Hello your question is incomplete attached below is the complete question
answer : 192.15 pounds
Step-by-step explanation:
Given :
weight = - 99.41 + 3.94*Height
R^2 = 0.81
SER = 10.2
Determine the regression weight prediction
Height of man = 74 inches
Hence : weight = - 99.41 + 3.94 * 74 = 192.15
therefore the regression weight prediction = 192.15 pounds
Shshshehehehhshehesjhshshahagaga
A group consisting of 126 students and 7 chaperones is going on a field trip. Which of the following groups does not have the same ratio of students to chaperones?
Answer:
c
Step-by-step explanation:
Here are the options
A 36 students and 2 chaperones B. 54 students and 3 chaperones O C 90 students and 4 chaperones D 108 students and 6 chaperones
We have to simply the ratio of students to chaperones to its lowest form .
126 : 7 = dividing number of students and chaperones by 7 gives : 18:1
36 : 2 = dividing number of students and chaperones by 2 gives : 18:1
54 : 3 = dividing number of students and chaperones by 3 gives : 18:1
90 : 4 = dividing number of students and chaperones by 4 gives : 22.5 : 1
108 : 6 = dividing number of students and chaperones by 6 gives : 18:1
It can be seen that it is only 90:4 that does not have the same ratio as that given in the question
Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If C represents the cost of each baseball, which of the following statements are true?
Select all that apply
The value of c can be found using the formula 30+837
The value of c can be found using the formula C/8.37 = 3
Each baseball cost $25.11
Each boseball cost $279
Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula .The value of c can be foun
Step-by-step explanation:
Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).
Answer:
x = 6, x = -4
Step-by-step explanation: