Logarithm involves the use of exponents to represent numbers.
If the pH level of grape juice is 3.3, the hydronium ion concentration is [tex]5.01 \times 10^{-4[/tex]
Given that:
[tex]P = -\log(c)[/tex]
To calculate c when [tex]P = 3.3[/tex]
We first substitute 3.3 for P in [tex]P = -\log(c)[/tex]
So, we have:
[tex]3.3 = -\log(c)[/tex]
Divide both sides by -1
[tex]-3.3 = \log(c)[/tex]
Apply law of logarithm
[tex]10^{-3.3)} = c[/tex]
Rewrite as:
[tex]c = 10^{-3.3}[/tex]
Using a calculator, we have:
[tex]c = 0.000501[/tex]
Rewrite as
[tex]c = 5.01 \times 10^{-4[/tex]
Hence, the hydronium ion concentration is [tex]5.01 \times 10^{-4[/tex]
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Find the surface area
what is the value of each expression?
11+ (-7)
Answer:
4Step-by-step explanation:
11 + (-7)
= 11 - 7
= 4
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Find the sum of two consecutive numbers if the smaller one is 43
Answer:
87
Step-by-step explanation:
Smaller number = 43
Bigger number= 44
Sum = 43+44
Question Answer: 44+43 = 87
there are 45 students in a speech contest. Yesterday, 2/3 of them have their speeches. Today, 3/5 of the remaining students give their speeches. How many students still haven't given their speeches?
Answer:6 students remaining
Step-by-step explanation:Multiply 2/3 *45 which equals 30. If 30 students gave their speech on the first day there are 15 students remaining. Then multiply 3/5 * 15 which equals 9. If 9 of the 15 remaining students gave their speech than 15-9= 6 students remaining.
If the composition of two functions is:
1/x−3
What would be the domain restriction? Describe how you found that answer.
9514 1404 393
Answer:
x ≠ 3
Step-by-step explanation:
In any case, the domain is restricted to values of the variable for which the function is defined. The value 1/0 is not defined, so the variable cannot allow the denominator to be zero. The denominator x-3 will be zero for x=3, so that value of the variable cannot be in the domain.
The domain is all real numbers except x=3.
_____
Additional comments
It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.
f(n) = 7n – 5
Evaluate
n = -3
Answer:
=-26
Step-by-step explanation:
f(n) = 7n – 5
Let n = -3
f(-3) = 7*(-3) – 5
Multiply first
= -21-5
=-26
What is the value of the underlined digit? 134,984.35 the underlined digit is 8
Answer:
80
Step-by-step explanation:
Find the lest number which is exactly divisible by 36 & 90 Maths
Answer:
180Step-by-step explanation:
You need to find the HCF of 36 and 90.
Prime factors of each:
36 = 2*2*3*390 = 2*3*3*5HCF includes all prime factors of both numbers:
HCF(36, 90) = 2*2*3*3*5 = 180To find the least number,
Which is exactly divisible by 36 and 90. We have to find the HCF of 36 and 90.
→ 36 = 2 × 2 × 3 × 3
→ 90 = 2 × 3 × 3 × 5
Then the required HCF will be,
→ 2 × 2 × 3 × 3 × 5
→ 180 (HCF)
Thus, 180 is the least number which is exactly divisible by 36 and 90.
Find the area.
Simplify the answer.
[tex]\text{A}_{\square}=\text{a}^2\\\\a\longrightarrow\text{x}+1\\\\\text{A}_{\square}=(\text{x}+1)^2=(\text{x}+1)(\text{x}+1)=\text{x}^2+\text{x}+\text{x}+1=\boxed{\text{x}^2+2\text{x}+1}[/tex]
Part B If Ivy conducted her survey of 25
students on a volunteer basis, are the
results representative of the school?
Why or why not?
Answer:
Step-by-step explanation:
No, the results are not necessarily representative of the school as a whole.
What is the random survey?A random survey is a research technique that is used to gather information from a sample of people or things in a population. The results of a random survey are more likely to be representative of the population as a whole since every member of the population has an equal chance of being chosen to take part in the research.
Given:
Ivy randomly surveys students in her school to learn more about mobile phone password use.
Of 25 respondents, 14 use a password.
If the survey was conducted on a volunteer basis, it is possible that the respondents who chose to participate may have different characteristics or behaviors than those who did not participate.
This could lead to a biased sample that does not accurately represent the entire school population.
Additionally, even if the sample is representative of the school population, a sample size of 25 is relatively small, which can increase the margin of error and make it more difficult to draw accurate conclusions.
Therefore, it is important to consider the limitations of the survey method and sample size when interpreting the results.
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The complete question:
Ivy randomly surveys students in her school to learn more about mobile phone password use.
Of 25 respondents, 14 use a password.
If Ivy conducted her survey of 25 students on a volunteer basis, are the
results representative of the school?
These are the Other Ones
My nephew needs help with this question
The domain is the set of all the x-values/inputs used by the function.
The range is the set of all y-values/outputs used by the function.
For #1:
The domain is { 1, 0, -1, 4 } because those are the x-values.
The range is { 3, 5, 7, -6 } because those are the x-values.
I'll let you try #2. if you write back with your answer, I'll reply to let you know if you did it correctly.
The sum of 9 and a number is twice a number plus 14. How would I write this as an equation?
1+2+3+4+5+6+7+8+9×2+14
Please solve correctly
It would equal 5/12
Step-by-step explanation:
Simple maths..
Need helppppppppppppppp
[tex]\\ \sf\longmapsto 54\%\:of\:270[/tex]
[tex]\\ \sf\longmapsto 27\times \dfrac{54}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1458}{100}[/tex]
[tex]\\ \sf\longmapsto 145.8[/tex]
Answer:
145.8 is the answer
Step-by-step explanation:
Mark it brainlist answer
For a 48 foot fence there is a post every 6 foot. Traci said that she will need 8 posts total. Is
she correct? Explain in words.
Answer:she is right
Step-by-step explanation:
If you have to make a 48 foot long fence and each post is 6 feet then you would need 8. 6 times 8 =48
Answer:
She will need 9 posts. 1 in each end and 7 in the middle = 2+7=9
Step-by-step explanation:
Find the value of this expression if x = 7 and
y = 1
xy^2/-8
Answer:
[tex] \frac{x {y}^{2} }{ - 8} \\ x = 7 \\ y = 1 \\ then \\ \frac{7 \times {1}^{2} }{ - 8} = \frac{7}{ - 8} = \frac{ - 7}{8} \\ thank \: you[/tex]
HELP MEEEEE PLEASEEEEEE!!!
Can someone please help and answer this problem
Answer:
Use Desmos Graphing Calculator if you have more problems like this
What is the purpose of a time line?
to indicate relationships between historical figures
to locate places on the earth’s surface
to represent spatial relationships between artifacts
to show events that occurred in a specific period of history
Answer:
d
Step-by-step explanation:
The main objective of timelines is to demonstrate a sequence of actions within a particular time interval. Although timelines cover a great period of time, it is not very detailed. Nevertheless, it is possible to add images, data, or figures.
thousands
thousands
hunarcos
5. Lee and Gary visited South Korea. They exchanged their dollars for South Korean bills,
Lee received 15 ten thousand South Korean bills. Gary received 150 thousand bills. Use
disks or numbers on a place value chart to compare Lee's and Gary's money,
10000
Answer:
Lee and Gary received the same amount of money (150,000)
Step-by-step explanation:
Helppppopp!!!! I need this ASAP
Answer:
your smart enough
Step-by-step explanation:
10. There are 12 players on a baseball team. Of those 12 players, 5/6 scored a run in the game. How many players scored a run?
Answer:
10
Step-by-step explanation:
5/6 = x/12
6 x 2 = 12
5 x 2 = 10
x = 10
find the radius of a circle with area 49
Answer:
r≈3.95
Step-by-step explanation:
Using the formula
A=πr^2
Solving for r
r=A
π=49
π≈3.94933
its asking to calculate the mean and median of jonhathan grades and tristian grades?
Name an angle or angles in the diagram shown to the right described by the following. Note that T lies on both FH and G).
adjacent and congruent to ZFTK
An angle that is adjacent and congruent to m ∠FTK is, m ∠HTK. So option 1 is true.
Used the concept of angle that states,
An angle is a combination of two rays with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
T lies on both FH and GJ.
Now by the given figure;
m ∠FTK = 90 degrees
Hence, an angle that is adjacent and congruent to m ∠FTK is,
m ∠HTK = 90 degrees
Therefore, option 1 is true.
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Which of the following best defines qualitative observation?
Question 5 options:
Data that can be observed using our sense of sight only
Data that can be observed with our five senses
Data that must be measured
Data that must be quantified
Answer:
""Data that can be observed with our five senses """is right option..
Step-by-step explanation:
A qualitative observation involves the use of five sensory organs, sight, smell, taste, touch, and hearing, and their function to examine the attributes. Being subjective in nature, it focuses on the characteristics and qualities of the variables rather than the numerical value.
Use the equation below to complete the statement. 5 . 26 − □ = 1 . 38 The value 3.12 makes the equation.
true or false?
the aswer is...false
It is false that 5 . 26 − □ = 1 . 38 The value 3.12 makes the equation. To check if the value 3.12 makes the equation true or false, we can substitute it into the equation and see if both sides are equal.
Given equation:
5.26 − □ = 1.38
Substitute □ with 3.12:
5.26 − 3.12 = 1.38
Now, calculate the left-hand side:
5.26 - 3.12 = 2.14
The equation becomes:
2.14 = 1.38
Since 2.14 is not equal to 1.38, the equation is false when □ is replaced with 3.12.
Therefore, the value 3.12 does not make the equation true.
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PLSSS HELP I WILL MARK U BRAINLEST!!!
Answer:
Equation: 11-2x=5. -2x=-6.
x=3
What is 91 divided by 8465 remainder needed
91 ÷ 8645 = 1 ÷ (8645 ÷ 91) =
9 5 r 0
9 1 | 8 6 4 5
– 8 1 9
_____________
4 5 5
− 4 5 5
0
Thus 91 ÷ 8645 = 1 / 95 r 0