The base 10 log table shows that the value of log10^50 is about 1.69897. explain or show why it makes sence that the value is between 1 and 2
Answers
Answer:
Step-by-step explanation:
Given
\(\log _{10}\ 50=1.69897\)
and we know that
\(\log _a\ a=1\)
therefore
\(\Rightarrow \log _{10}\ 10=1\)
and \(\Rightarrow \log _{10}\ 100=\log _{10}\ 10^2=2\)
and \(50\) lies between \(10\) and \(100\) . So, its value must lie between \(1\) and \(2\)
Related Questions
Please answer this question
Answers
Answer:
a = 12
Step-by-step explanation:
Pythagorean theorem states that the the square value of hypotenuse is equal to the sum of the squares of two legs.
Now, according to this statement:
15² = 9² + a²
Calculate the square values on both sides225 = 81 + a²
Subtract 81 from both sides144 = a²
Find the root of both sides12 = a
is the integer r divisible by 3 ? (1) r is the product of 4 consecutive positive integers. (2) r < 25
Answers
Yes, the integer is divisible by 3.
To determine if r is divisible by 3, we must first determine the value of r. According to statement 1, r is the product of 4 consecutive positive integers.
This means that the 4 integers must be increasing by 1 each time. The smallest integer must be 1, and the 4th integer must be 4 higher than the first, making it 5.
The product of these 4 integers is 1 x 2 x 3 x 4 = 24, which is less than 25.
Since 24 is divisible by 3, r is also divisible by 3.
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WORTH 50! WILL AWARD BRAINLIEST! PLEASE SHOW STEPS! THANK YOU!
Answers
Answer:
x = 45
Step-by-step explanation:
Re-order terms so constants are on the left
15 * x/9 - 42 =28
Combine multiplied terms into a single fraction
15x/9 - 42 = 28
Cancel terms that are in both the numerator and denominator
5x/3 - 42 = 28
Consider the following.
w = xy² + x²z + yz², x = t², y = 8t, z = 8
(a) Find dw/dt using the appropriate Chain Rule.
(b) Find dw/dt by converting w to a function of t before differentiating.
Answers
(a) To find dw/dt using the Chain Rule, we need to first find the partial derivatives of w with respect to x, y, and z.
∂w/∂x = 2xy + x²z
∂w/∂y = 2yx + z²
∂w/∂z = x² + 2yz
Next, we substitute in the given values for x, y, and z:
∂w/∂x = 2t²(8t) + (t²)²(8) = 16t³ + 8t⁴
∂w/∂y = 2(8t)(t²) + (8)² = 16t³ + 64
∂w/∂z = (t²)² + 2(8t)(8) = t⁴ + 128t
Finally, we apply the Chain Rule:
dw/dt = ∂w/∂x * dx/dt + ∂w/∂y * dy/dt + ∂w/∂z * dz/dt
= (16t³ + 8t⁴) * 2t + (16t³ + 64) * 8 + (t⁴ + 128t) * 0
= 32t⁴ + 128t³ + 512t³ + 512t
= 32t⁴ + 640t³
(b) To find dw/dt by converting w to a function of t before differentiating, we substitute in the given values for x, y, and z:
w = (t²)(8t)² + (t²)²(8) + (8)(8t)²
= 64t³ + 8t⁴ + 64t²
Then, we simply differentiate with respect to t:
dw/dt = 192t² + 32t³ + 128t
Both methods yield the same result of dw/dt = 32t⁴ + 640t³.
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In January 2020, Pelican, Inc., established an allowance for uncollectible accounts (bad debt reserve) of $70,000 on its books and increased the allowance by $120,000 during the year. As a result of a client's bankruptcy, Pelican, Inc., expensed the allowance by $60,000 in November 2020. Pelican, Inc., deducted the $190,000 of increases to the allowance on its 2020 income statement but was not allowed to deduct that amount on its tax return. On its 2020 tax return, the corporation was allowed to deduct the $60,000 actual loss sustained because of its client's bankruptcy. On its financial statements, Pelican, Inc., treated the $190,000 increase in the bad debt reserve as an expense that gave rise to a temporary difference. On its 2020 tax return, Pelican, Inc., took a $60,000 deduction for bad debt expense. How is this information reported on Schedule M–3? Click here to access Form 1120, Schedule M-3.
These amounts are reported on Schedule M–3, line 32, Part III as follows:
the $190,000 book bad debt expense is reported in column (a), the $ ______ temporary difference is reported in column (b), and the $ ______ tax return bad debt expense is reported in column (d). there are 5 blanks for this question i have them listed in bold. I have solved 3 of the 5 blanks, the answers i need are the ones where it says (_______) both $______ amounts
Answers
The $190,000 book bad debt expense is reported in column (a), the $70,000 temporary difference is reported in column (b), and the $60,000 tax return bad debt expense is reported in column (d)
In Schedule M-3, line 32, Part III, the reporting of the information is as follows:
The $190,000 book bad debt expense, which represents the increase in the bad debt reserve on the financial statements, is reported in column (a). This amount reflects the expense recognized by Pelican, Inc. for the potential uncollectible accounts during the year.
The $70,000 temporary difference is reported in column (b). This amount represents the difference between the book bad debt expense (which includes the $190,000 increase) and the tax return bad debt expense (which only includes the $60,000 actual loss from the client's bankruptcy). This temporary difference arises because the tax return does not allow deduction for the $190,000 increase in the bad debt reserve.
The $60,000 tax return bad debt expense, which represents the actual loss sustained due to the client's bankruptcy and is deductible on the tax return, is reported in column (d). This amount reflects the deduction that Pelican, Inc. is allowed to take for the actual bad debt loss.
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1 What is the absolute value of 0?
Answers
Answer:
0
Step-by-step explanation:
Absolute value is basically just the positive value of a number.
Answer: Hello: )✨ its 0
Step-by-step explanation:
The absolute value of 0 is 0. (This is why we don't say that the absolute value of a number is positive. Zero is neither negative nor positive.)
a sample of n = 30 individuals is selected from a population with µ = 100, and a treatment is administered to the sample. what is expected if the treatment has no effect?
Answers
If the treatment has no effect, then the mean of the sample is expected to remain the same as the population mean of µ = 100, Therefore, the treatment would not change the expected value of the population.
If a sample of n = 30 individuals is selected from a population with µ = 100, and a treatment is administered to the sample, the expectation if the treatment has no effect would be as follows:
1. The sample mean (M) would be close to the population mean (µ).
2. The treatment would not cause any significant change in the sample's characteristics compared to the population.
3. The sample mean (M) would still be around 100 after the treatment is administered, since the treatment does not impact the population's characteristics.
In summary, if the treatment has no effect, the sample mean should remain close to the population mean (µ = 100) after the treatment is administered.
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Write an equation to match the story and diagram below. Solve for X in the equation
Answers
Answer:
x = 11
Step-by-step explanation:
15 + 22 + 16 + x + x = 75
53 + 2x = 75
2x = 22
x = 11
if log a = 0.05 , what is log (100a)?
Answers
0.6990 is value of logarithm .
A logarithm is defined simply.
The logarithm represents the power to which a number must be raised to obtain another number (see Section 3 of this Math Review for more about exponents).
As an illustration, the base ten logarithm of 100 is 2, since ten multiplied by two equals 100: log 100 = 2, since 102 = 100. Binary logarithms, which have a base of 2, natural logarithms, which have a base of e 2.71828, and common logarithms with a base of 10 are the four most popular varieties of logarithms.
Now, log0.1= log(1/10) =log (10^-1) =-1 log10
Here log 10= 1 .
log a = 0.05
log (100a) = log (100 * 0.05)
= log( 5.00)
= log(5)
= 0.6990
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HELPP PLS ASAP I NEED HELP
Answers
Answer:
Option (b) second one is the correct answer
Two long thin parallel wires 13.0 cm apart carry 25-A currents in the same direction.
Part A
Determine the magnitude of the magnetic field vector at a point 10.0 cm from one wire and 6.0 cm from the other (Figure 1) .
Express your answer using two significant figures. B=?
Part B
Determine the direction of the magnetic field vector at that point.
Express your answer using two significant figures.
Answers
The magnitude of the magnetic field at that point is 3.08 × 10^-5 T.
The magnitude of the magnetic field can be calculated using Ampere's Law. The formula is given by:
B = (μ₀ * I) / (2 * π * r)
where B is the magnetic field, μ₀ is the permeability of free space (4π * 10^-7 T·m/A), I is the current, and r is the distance from the wire.
Calculating the magnetic field for each wire separately and adding them together:
B₁ = (4π * 10^-7 T·m/A * 25 A) / (2 * π * 0.10 m) = 1.0 × 10^-5 T
B₂ = (4π * 10^-7 T·m/A * 25 A) / (2 * π * 0.06 m) = 2.08 × 10^-5 T
The total magnetic field at that point is the sum of the individual magnetic fields:
B = B₁ + B₂ = 1.0 × 10^-5 T + 2.08 × 10^-5 T = 3.08 × 10^-5 T
Therefore, the magnitude of the magnetic field at that point is 3.08 × 10^-5 T.
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The first quartile of the dataset {1, 2, 3, 4, 5, 6} is _______. (give your answer as a whole number.
Answers
The first quartile of the dataset {1, 2, 3, 4, 5, 6} is 2.
Given data set: {1,2,3,4,5,6}
Median of the given data set =3.5
The data set can be split into 2 parts as, {1,2,3} and {4,5,6}. The first quartile is calculated by simply finding the median of the first part of the data set.
Thus, the first quartile is 2.
The quarter divides the distribution into four groups and calculates the range of values above and below the mean.
A quartile separates the dataset into four categories by dividing the data into three points: the lowest, median, and upper quartiles.
The interquartile range, a measurement of variation around the median, is calculated using quartiles.
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At Fenway park, they sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less dogs. How many hot dogs should they sell to maximize profit?
Answers
Answer:
4,100
Step-by-step explanation:
Let x be increase in the price % and f(x) be revenue
Revenue = Sales price*Total number hot dog sold
Hot dog sold = $4/dog
Now when increase in $0.25. Then, Revenue f(x) = (4+0.25x) (500 - 200x)
f(x) = 2000 - 800x + 1250x - 50x^2
f(x) = -50x^2 + 450x + 2000
To maximize revenue, we have to find f1(x) and find the value of x for which f1(x) = 0
f1(x) = -100x + 450
0 = 0100x + 450
x = 4.5
Hence, to maximize profit number of hot dog they sell: 5000 - 200(4.5)
= 5000 - 900
= 4100
Thus, the number of hot dog sold = 4,100
16. For the the equation 4x+8 9x+3.
Explain the steps that were used to solve the equation below
4X + 8 9X+3
4x + 5 = 9x
5 = 5x
1 = X
Answers
4X + 8 9X+3 (this is the equation, nothing to explain in this step)
4x + 5 = 9x (you combine or subtract the like terms, 8 - 3 = 5)
5 = 5x (you do 9x - 4x = 5x, subtracting the like terms)
1 = X (your answer after dividing 5 from both sides)
Help will give Brainliest
Answers
Answer:
-x - 2
Step-by-step explanation:
Step 1: Define
x - 2 - 2x
Step 2: Combine like terms (x)
-x - 2
Answer:
-3
Step-by-step explanation:
Identify the property that justifies the following statement: I will make you a brainllest.
Answers
Answer:
reflexive property of simliarity
Step-by-step explanation:
is y=4x-5 proportional or no proportional
Answers
Answer:
non proportional
Step-by-step explanation:
help me with this question
Answers
p = The doctor prescribed medicine
q = The patient has recovered
The doctor did not prescribe medicine:
\(˜p\)The patient recovered:
\(q\)The truth table is given by:
Answer:
A
In an extensive government study conducted this year, a SRS of 500 households was selected, of which 80 had experienced property damage due to a crime.
A: calculate and interpret a 99% CI for the true proportion of households that have experienced property damage due to crime.
h e l p
Answers
99% CI = 0.1252 to 0.1948
This confidence interval suggests that, with 99% confidence, the true proportion of households that have experienced property damage due to a crime lies between 12% and 20%.
SRS stands for Simple Random Sample, which is a sample of a population in which each member of the population has an equal chance of being selected. CI stands for Confidence Interval, which is a range of values that is likely to contain the true population parameter.
To calculate a 99% CI for the true proportion of households that have experienced property damage due to crime, we first need to calculate.
The sample proportion, p. i.e.\(\pi\)/nStandard error i.e., s/√np = 80/500 = 0.16
Standard error = √ (0.16 x 0.84)/500 = 0.0116
Now that we have the sample proportion and the standard error, we can calculate the 99% confidence interval. The 99% confidence interval is equal to the sample proportion plus or minus 3 standard errors.
99% CI = 0.16 ± (3 x 0.0116)
99% CI = 0.16 ± 0.0348
99% CI = 0.1252 to 0.1948
Therefore, we can be 99% confident that the true proportion of households that have experienced property damage due to a crime is between 0.1252 and 0.1948.
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Answer:
Step-by-step explanation:
you the formula x*u
how do i convert this to standard form?
y+4=-3(x-1)
Answers
What is the greatest common factor of the terms of the polynomial below? 8x⁴ - 12x³ + 20x²
A. 4x³
B. 2x²
C. 4x²
D. 2x²
Answers
Answer:
C. 4x²
Step-by-step explanation:
8x^4 = 2 × 2 × 2 × x × x × x × x
12x³ = 2 × 2 × 3 × x × x × x
20x² = 2 × 2 × x × x
Look at the factors. Which factors do both numbers have?
They are in bold below.
8x^4 = 2 × 2 × 2 × x × x × x × x
12x³ = 2 × 2 × 3 × x × x × x
20x² = 2 × 2 × 5 × x × x
The common factors are 2, 2, x, x.
The GCF = 2 × 2 × x × x = 4x²
Answer: C. 4x²
Solve:
5(n — 3) = 30
Answers
Answer:
n = 9
Step-by-step explanation:
5(n-3) = 30
Expand the brackets. (Multiply n by 5 then multiply -3 by 5.)
5n-15 = 30
Isolate 5n.
5n = 30+15
Evaluate.
5n = 45
Find n.
n = 45 ÷ 5
n = 9
Answer:
n = 9
Step-by-step explanation:
1) divide both sides by 5 to cancel it out
(n-3=6)
2) add 3 to each side to cancel out the -3
(n=9)
You could factor the 5 to get 5n-15=30 but dividing by 5 just makes the number easier
what value is equivalent to 108-8x(5-2)-60
Answers
Answer:
-28 + -1 = -29
-14 + -2 = -16
-7 + -4 = -11
-4 + -7 = -11
-2 + -14 = -16
-1 + -28 = -29
1 + 28 = 29
2 + 14 = 16
4 + 7 = 11
7 + 4 = 11
14 + 2 = 16
28 + 1 = 29
Step-by-step explanation:
Answer:
6/7
Step-by-step explanation:
108 - 40x - 16x - 60
-40x -16x = -108 +60
-56x = -48
x = 6/7
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write a proportion that would have to be true, involving the side lengths of the quadrilaterals
(Hint: use the / key to get fractions!)
Answers
The true proportion of the side lengths of the quadrilaterals is A'B'/AB
How to determine the true proportion of the quadrilaterals?From the question, we have the following parameters that can be used in our computation:
Quadrilaterals ABCD and A'B'C'D
These quadrilaterals are similar
So, it means that the corresponding side lengths are proportional
So. we have
Side length = AB
Corresponding side length = A'B'
The true proportion is then represented as
k = Corresponding side length/Side length
Substitute the known values in the above equation, so, we have the following representation
k = A'B'/AB
Hence, the proportion is A'B'/AB
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which of the following statements are true for a frequentist definition for the probability of an event g
Answers
The frequentist probability is objective, based on observed data, need large sample or long term frequency, and doesn't have prior knowledge.
What is frequentist probability?Frequentist probability is a definition of probability that defines the probability of an event as the probability of an event being observed in a long-term or infinite experiment.
Frequentist probability is different from Bayesian probability in following points,
Frequentist is objective and Bayesian is subjectiveFrequentist based on observed data and Bayesian based on degree of beliefFrequentist need large sample and Bayesian not necessary need large sampleFrequentist reject the prior assumption or knowledge and Bayesian need prior assumption or knowledge for parameterThus, the statement are true for frequentist definition for the probability is doesn't have prior knowledge, need large sample, based on observed data, and objective.
Your question is incomplete, but it is general information about the frequentist definition of probability.
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order from least to greatest 3.2 ,3.14, 19/7, sqrt (14)
Answers
Answer: 19/7 ,3.14, 3.2
Step-by-step explanation: Hope this helps Have a brilliant day of learning!
Fine the average rate of change for f(x) on the interval [-1,3]
![Fine the average rate of change for f(x) on the interval [-1,3]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/6dkZ2Et1xKg16RT4H1LKjkWGFKMTuNpP.jpeg)
Answers
For any function f(x), the average rate of change on the interval [x1,x2] is given by [f(x2) - f(x1)]/(x2-x1)
For f(-1) = 2.5 and f(3) = 40, the average rate of change on the interval [-1,3] is given by:
step 1 - (40 - 2.5)/[3-(-1)] = 37.5/4 = 9.375
step 2 - (37.5)/4
step 3 - Solving the fraction we find that the average rate of change is 9.375 (or 75/8)
Ethan plotted points E, F, G, H, and I on a number line, as shown below. Which two points that Ethan plotted represent numbers that have a sum of 0? Explain how you got your answer
Answers
Answer:
F and H
Step-by-step explanation:
From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:
a + (-a) = 0
From the points, F is the additive inverse of H, hence:
F + H = 0
6 + (-6) = 6 - 6 = 0
Hence the two points are F ad H
Write an equation in slope-intercept form of the line passing through (3, 1) and (4,3)
Answers
Answer:
y=2x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-1)/(4-3)
m=2/1
m=2
y-y1=m(x-x1)
y-1=2(x-3)
y=2x-6+1
y=2x-5
Answer:
y = mx+b
Step-by-step explanation:
Which of these represents the expression "7 less than twice x"? O 7-2x O 2X-7 O 7 < 7 < 2x O 2x
Answers
Answer:
the answer for this question is 7-2x