logarithmic equations
The typical concentration of hydrogen ions in human saliva is of H* = 10^(-7), using the logarithmic equation.
Logarithmic equationThe logarithmic equation in the context of this problem is presented as follows:
pH = -log(H*).
In which the parameter H* is the concentration of hydrogen ions of the substance.
For the human saliva, the pH has a numeric value as presented as follows:
pH = 7.
Hence the concentration is calculated as follows:
7 = -log(H*).
log(H*) = -7.
The power of 10 and the logarithm are inverse functions, hence the power of 10 can be inserted into both sides of the equality to isolate the concentration variable H*.
10^(log(H*)) = 10^(-7)
H* = 10^(-7).
More can be learned about logarithmic equations at https://brainly.com/question/237323
#SPJ1
50x + 15y ≤ 300
25x + 5y ≥ 50
What are possible whole numbers of apple and orange crates that Adem can order?
Answer:
apple crates 2
orange crates 5
Step-by-step explanation:
50x + 15y ≤ 300
25x + 5y ≥ 50
What are possible whole numbers of apple and orange crates that Adem can order?
Please help me with the question please ASAP ASAP please ASAP
Answer:
v = 288in³
la = 288in²
sa = 336in²
Step-by-step explanation:
i'm done explaining, if you need it, tell me
Solve for X
A) 13
B) 5
C) 14
D) 1
Answer:
B) 5
Circle is 360 degr. So (21x+9) +(23x-5) +(26x+6)=360
Combine like terms 70x+10=360
Additive inverse -10 from both sides, 70x= 350
Divide both side by 70 division Property of Equality x=5.
Check your answer by substituting 5 back into original solution!
Step-by-step explanation:
A wallet containing $40 has three times as many $1 notes as $5. Find the number of each kind. (Pls give answer urgently needed with working)
Which of the following are irrational numbers?
Check all that are true.
loading ...
loading ...
loading ...
loading ...
Answer:
d for sure
Step-by-step explanation:
Marshall spins a prize wheel with 4 segments of equal size, one of which is labeled "winner. "
Let X = the number of spins until Marshall wins a prize.
What is the probability that Marshall wins a prize on his 2nd spin?
Recall: P(X = k) = (1 – p)k–1p
Round to 4 decimal places
The probability that Marshall wins a prize on his second spin = 0.1875
Consider an event X = the number of spins until Marshall wins a prize.
Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.
So, the sample space n = 4
For given event x, the possible outcomes = 1
Using the formula of probability,
p = x/n
p = 1/4
p = 0.25
So, the probability of success p = 0.25
q = 1 - p
q = 1 - 0.25
q = 0.75
To find the probability that Marshall wins a prize on his 2nd spin.
Using formula, \(P(X = k) = (1 - p)^{k-1}p\)
For k = 2,
\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)
P(X = 2) = 0.75 × 0.25
P(X = 2) = 0.1875
Thus, the required probability is 0.1875
Learn more about the probability here:
https://brainly.com/question/30034780
#SPJ4
Would a bottle of chocolate milk (for one person) measured with milliliters or liters
Answer:
the answer would be Milliters
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
To learn more about equal variances: -brainly.com/question/30777199
#SPJ11
To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
To learn more about equal variances: -brainly.com/question/30777199
#SPJ11
the sum of the numbers (20cba)16 and (a02)16 is ( (click to select) )16 and their product is ( (click to select) )16.
To solve this problem, we need to convert the hexadecimal numbers (20cba)16 and (a02)16 to decimal form, add them together, and then convert the result back to hexadecimal form.
(20cba)16 = 2x16^4 + 12x16^3 + 11x16^2 + 10x16^1 = 131402
(a02)16 = 10x16^2 + 0x16^1 + 2x16^0 = 256
Adding the two decimal numbers together gives us:
131402 + 256 = 131658
To convert this decimal number back to hexadecimal form, we can use the repeated division method.
131658 / 16 = 8228 remainder 10 (A)
8228 / 16 = 514 remainders 4 (4)
514 / 16 = 32 remainder 2 (2)
32 / 16 = 2 remainder 0
2 / 16 = 0 remainder 2
Therefore, (20cba)16 + (a02)16 = (131658)10 = (2002A)16.
To find their product, we can multiply the two decimal numbers together and then convert the result to hexadecimal form.
131402 x 256 = 33559552
Converting this decimal number to hexadecimal form gives us:
33559552 / 16 = 2097472 remainder 0
2097472 / 16 = 131092 remainder 0
131092 / 16 = 8193 remainder 4 (4)
8193 / 16 = 512 remainders 1 (1)
512 / 16 = 32 remainder 0
32 / 16 = 2 remainder 0
2 / 16 = 0 remainder 2
Therefore, the product of (20cba)16 and (a02)16 is (33559552)10 = (2011004)16.
For more questions like numbers (20cba)16, visit the link below:
https://brainly.com/question/9713995
#SPJ11
The+net+present+value+of+a+proposed+project+is+$20,000+at+a+discount+rate+of+5%+and+($28,000)+at+10%. +what+is+the+internal+rate+of+return+of+the+project,+to+the+nearest+one+decimal+place
The internal rate of return of the project, to the nearest one decimal place, will be $ 44,200.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
The net present value of a proposed project is $20,000 at a discount rate of 5% and $28,000 at 10%.
Then the internal rate of return of the project, to the nearest one decimal place will be
Internal rate = 20000 x 0.95 + 28000 x 0.90
Internal rate = 19000 + 25200
Internal rate = $ 44,200
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ4
would this be sin, cos, or tan?
Answer:
cos
Step-by-step explanation:
its adjacent over hypotenuse
Answer: cos
Step-by-step explanation:
You don't have a value for the side opposite the angle, you only have your hypotenuse and your adjacent side. Hope this helps.
Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.
What is the direct proportional relationship?In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.
The following are the proportional relationships for the distances:
Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.For a total distance of 32 miles, the distances walked and run are given:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.
Learn more about proportional relationships here: brainly.com/question/10424180
#SPJ1
What is the correct order of steps for bisecting angle ABC?
Answer: First choice. ECFBDA
Explanation:
The answer choices list either step E or step F first.
It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.
The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.
Therefore the correct sequence is ECFBDA.
ECFBDA is the correct order of steps for bisecting angle ABC.
What is angle bisector?"Angle bisector is defined as the ray which divides an angle into two equal measures."
According to the question,
Rearrange the given statements in correct order of steps for angle bisector.
E. Place the compass on point B, and swing an arc that intersects rays BA and BC.
C. Place point D on the intersection of the arc on ray BA and point E on
the intersection of the arc with ray BC.
F. Place the compass on point D, and draw an arc inside the angle.
B. Keeping the compass the same distance , place the compass on point
E. draw an arc inside the angle.
D. Place point F on the intersection of the arcs created from points D
and E.
A. Draw a ray from point B through point F.
Hence, ECFBDA is the correct order of steps for bisecting angle ABC.
Learn more about angle bisector here
https://brainly.com/question/12896755
#SPJ2
Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel in the park has a radius of 15 feet, and its center is 20 feet above ground level. Assume it takes 24 seconds to make a complete revolution.
You can describe the various positions in the cycle of the Ferris wheel in terms of the face of a clock, as indicated in the accompanying diagram. Think of Al and Betty's location as they ride as simply a point on the circumference of the wheel's circular path. That is, ignore the size of the Ferris wheel seats, Al and Betty's own heights, and so on.
Answer:a) The 12 o'clock position: Al and Betty are 35 feet above the ground when they are at the 12 o'clock position on the Ferris wheel.
b) The 9 o'clock position: Al and Betty are 5 feet above the ground when they are at the 9 o'clock position on the Ferris wheel.
c) The 6 o'clock position: Al and Betty are 20 feet above the ground when they are at the 6 o'clock position on the Ferris wheel.
d) The 8 o'clock position: Al and Betty are 5 feet above the ground when they are at the 8 o'clock position on the Ferris wheel.
e) 10 seconds after passing the 11 o'clock position: Al and Betty are 35 feet above the ground when they are 10 seconds after passing the 11 o'clock position on the Ferris wheel.
2) Al and Betty are 30 feet above the ground when they are at the 2 o'clock position on the Ferris wheel.
Step-by-step explanation:
the length, i, of a rectangle is greater than it's width, w. The perimeter of the rectangle is at least 30 inches. what inequality is the range of possible widths of the rectangle? i need help with this
Answer:
Step-by-step explanation:
Since the length, i, of the rectangle is greater than its width, we can write:
i > w
The formula for the perimeter of a rectangle is:
P = 2(i + w)
We know the perimeter is at least 30 inches, so we can write:
2(i + w) ≥ 30
Simplifying the inequality, we get:
i + w ≥ 15
Now we can substitute i > w into the inequality:
w + w ≥ 15
2w ≥ 15
w ≥ 7.5
Therefore, the range of possible widths for the rectangle is:
w ≥ 7.5
a tennis player makes a successful first serve 70% of the time- what is the probability she makes at least 65
The probability she makes at least 65 is 0.0139.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
\(\begin{aligned}P(x \geq 65) & =1-P(x < 65) \\& =1-P\left(\frac{x-\mu}{n} < \frac{65-56}{4.0988}\right) \\& =1-P(z < 2.1958) \\& =1-0.9861 \\& =0.0139\end{aligned}\)
To learn more about probability visit:https://brainly.com/question/11234923
#SPJ4
Find the new amount.
1. Increase 25 by 24%
2. Increase 120 by 75%
3. Decrease 35 by 60%
4. Decrease 72 by 65%
Bottle A contains more soda than Bottle B. Pour from Bottle A into Bottle B as much soda as B already contains. Now pour from B into A as much soda as A now contains. Then pour from A into B as much soda as B now contains. Each bottle now contains 64 ounces. How many more ounces of soda were in Bottle A than Bottle B at the beginning?
Answer:
Bottle A started with 88 and bottle B started with 40
Step-by-step explanation:
To find out what they started with I got the ounces they finished with an the equation they did to get there.
Ended in 64 oz.
To get there:
A => B
B => A
A => B
Every time a pour is made the bottle to the right is doubled so I got 64 and divided it by 2 to see what B had before the pour of bottle A.
B had 32 oz. and A had 96 oz. before the last pour. I got 96 oz. because for them to end up with 64 oz. A has to have 32 oz. + 64 oz. since you are pouring 32 oz. into bottle B.
Now you have this equation:
A => B
B => A
96 oz. => 32 oz.
64 oz.
I then do the same thing I did to find 96 and 32. Since B is giving to A now it has to have more then A but it has to end up with 34 oz. for this is got 96 oz. and I divided it by 2 which got me 48. So on the second pour A started with 48 and B had to have given A 48 plus have 32 so it could end up with 34 therefore making it have 80 oz.
Now you have this equation:
A => B
80 oz. => 48 oz.
96 oz. => 32 oz.
64 oz.
For the last part to get the first ounces to answer the question you will do the same steps. Get half of 80 to see what B had before the 2nd pour which will be 40 and then you have to get 48 + 40 sine bottle A has to have the same amount of soda as B plus 48 oz. that it ends up with. This will have bottle A as 88 oz.
The Answer:
88 oz. => 40 oz.
80 oz. => 48 oz.
96 oz. => 32 oz.
Both will end up with 64 oz.
4. Line segment CD is the perpendicular bisector of line
segment AB. Is line segment AB the perpendicular
bisector of line segment CD?
The line AB is not a perpendicular bisector of CD.
Perpendicular bisectors are lines that divides another line into two equal parts.
From the diagram, we can see that line CD cuts AB at the centre. Hence we can say that CD is a perpendicular bisector of AB.
The same is not applicable to line AB passing through CD. The line AB did not bisect (divide equally) line CD.
Hence we can conclude that line AB is not a perpendicular bisector of CD.
Learn more here: https://brainly.com/question/17335869
what is the answer to x + 5 = -6
Answer:
x=-11
Step-by-step explanation:
If you subtract the 5 on both sides, you get -11.
I should explain further. So if you subtract the 5 on the left side, it will cancel out. Subtracting the 5 on the right side will give you the equation, -6 - 5, which is equal to -11.
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
y=4x, y=5x2
Answer:
Step-by-step explanation:
y=0,16/5
Whch of the binomials below is a factor of this trinomial x^2 + 19x + 84.
A)x-7
B)x^2+12
C)x+84
D)x+7
Answer:
The answer is D) x+7
Step-by-step explanation:
First you have to find multiples of 84 and see if they add up to equal 19.
The pie chart shows the percentage of votes received by each candidate in the student council presidential election. Use the pie chart to answer the question.
What percent of the votes did Jim and Lili receive together?
a. 34%
b. 20%
c. 66%
d. 14%
Pie charts are a graphical representation of data that is composed of a circle divided into several pieces representing a percentage of the whole. They aid in the easy understanding of numerical data and can be used to show statistical data in an easily understandable format. the percentage of the votes Jim and Lili received together is: Jim + Lili = 26% + 40%= 66%Therefore, the answer is option (c) 66%.
The pie chart displays the percentage of votes obtained by each candidate in the student council presidential election. To respond to the question, "What percentage of the votes did Jim and Lili receive together?" We need to look at the pie chart and add up the percent of the votes Jim and Lili received together.The percentage of votes received by Jim is 26%, and the percentage of votes received by Lili is 40%.
Therefore, the percentage of the votes Jim and Lili received together is: Jim + Lili = 26% + 40%= 66%Therefore, the answer is option (c) 66%.
Pie Chart is a graphical representation of data that is composed of a circle that is divided into several pieces representing a percentage of the whole.The size of each part of the chart is proportional to the quantity it signifies. It aids in the easy understanding of numerical data. Pie charts are often used to show percentages of a total and can be used to show statistical data in an easily understandable format.
To know more about Pie charts Visit:
https://brainly.com/question/1109099
#SPJ11
write 10 examples of rectangle that you observed in your daily life
Answer:
-a book
-a flash card
-the american flag
-post-it
-pencil case
-calculator
-phone
-dollar bill
-tv
-ruler
Step-by-step explanation:
________________________________
Hey!!
Ten examples of rectangles that I observed in my daily life are as follows:
BoxtelevisionMobile phoneswhiteboardClipboardCassetteBagChocolateBiscuitRuler________________________________
The expression 12y + 30 represents the area of wall painted blue. HURRY PLEASE!!!!!
Answer:
6 and (2y+5)
Step-by-step explanation:
identify the type of sampling technique used to collect data if a sample frame is developed with all possible items from the population. then a sample is drawn such that every item in the frame has the same chance of being selected. a. convenience sample b. simple random sample cluster sample d. systematic sample e. stratified sample
The type of sampling technique used in this scenario is a Simple Random Sample.
Simple Random Sample:A simple random sample is a sampling technique in which every member of the population has an equal chance of being selected for the sample.
This means that each member of the population is assigned a number, and then a random number generator is used to select the members of the sample.
There are several ways to conduct a simple random sample, such as drawing names out of a hat or using a computer program to randomly select participants.
In the given scenario, a sample frame is developed with all possible items from the population, and then a sample is drawn in such a way that every item in the frame has the equal chance of being selected.
This means that each item in the population has an equal chance of being selected for the sample, and the sample is therefore a simple random sample.
Therefore,
The type of sampling technique used in this scenario is a Simple Random Sample.
Learn more about Sampling techniques at
https://brainly.com/question/31479868
#SPJ4
Can somebody plz help answer all the questions correctly!!! thx (Grade7math) btw :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D
Answer:
a) 7:4
b) 6:3
c) 4:2
d) 6:2
e) 4:3
f) 4:4
Answer:
a) 7:4
b) 6:3
c) 4:2
d) 6:2
e) 4:3
f) 4:4
Step-by-step explanation:
Determine the number of consonants and vowels, then turn them into ratios.
Tamar's house is greater than 472 and less than 500 which number can be on Tamar's house?
490
472 <490<500
it fits the criteria
CAN SOME ONE HELP ME
Answer:
(a⁴+b⁴)(a²+b²)
Step-by-step explanation:
in the pictures