The expanded form of log y^10 is either 10 log y or 10 ln y
Expanding the logarithmAssuming that the base of the logarithm is not specified, we can use the change of base formula to expand the logarithm:
log y^10 = log (y^10) / log (base)
Using base 10:
log y^10 = log (y^10) / log 10
= 10 log y / 1
= 10 log y
Using natural logarithm:
log y^10 = log (y^10) / log e
= 10 log y / 1
= 10 ln y
Therefore, the expanded form of log y^10 is either 10 log y or 10 ln y, depending on the base used.
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Question 2 (1 point)
Thomas's football team lost 3 yards in their first drive while Derrek's
football team gained 5 yards in their first drive. The first drives for each
team can be compared on a number line, where 0 represents the line
of scrimmage for each play.
Select the correct numbers for Derrek and Thomas' football teams.
Oa Derrek's Team has-5
Ob Thomas' Team has +3
OcThomas' Team has -3
Od Derrek's Team has +5
The correct numbers for Derrek and Thomas' football teams are :
c. Thomas' Team has -3d. Derrek's Team has +5How to find the numbers ?According to the information given, Thomas's football team lost 3 yards in their first drive, which means they moved backward 3 yards from the line of scrimmage. This can be represented as -3 on the number line.
On the other hand, Derrek's football team gained 5 yards in their first drive, which means they moved forward 5 yards from the line of scrimmage. This can be represented as +5 on the number line.
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Mr.John borrowed $5,340.00 from the bank at 9.5% per annum simple interest for 5 years. Calculate The value of each montly installments
Answer:
5,340x.095=507.3
507.3÷5=101.46
101.46÷12=$8.45 interest
5,340÷5=1068
1068÷12= $89
89+8.45=$97.45
answer $97.45 a month
Help please quickly calculus
Her next step in obtaining the area of the triangle is replacing the numeric values of h and y into the area formula.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:
A = 0.5bh.
The dimensions for this problem are given as follows:
Base of b = y.Height of h.Hence the formula is:
A = 0.5yh.
Hence the actual values of y and h must be inserted into the formula to obtain the area of the triangle.
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Category: nr percentages
question_id: 5782
Alex is really upset. He invested a lot of money in shares and only has $72,800 left of his original
investment. His shares dropped in value by 35% in 4 days. What amount did Alex pay for his shares
to being with?
Answer:
Let's start by using algebra to solve for the original amount that Alex paid for his shares.
Let X be the original amount that Alex paid for his shares.
We know that his shares dropped in value by 35%, so after the drop, he had 65% of his original investment left:
0.65X = $72,800
Solving for X:
X = $72,800 / 0.65
X = $112,000
Therefore, Alex paid $112,000 for his shares to begin with.
Yellow light: When the light turns yellow, should you stop or go through it? A recent study of driver behavior defined the "indecision zone" as the period when
a vehicle is between 2.5 and 5.5 seconds away from an intersection. At the first intersection studied, 127 vehicles were observed to encounter a yellow light in
the indecision zone, and 24 of them ran the red light. At the second intersection, 164 vehicles entered the intersection in the indecision zone, and 29 ran the red
light. Let p denote the proportion of red light runners at the first intersection. Can you conclude that the proportion of red light runners differs between the two
intersections? Use the a=0.01 level of significance.
Answer:
Step-by-step explanation:
To test the null hypothesis that the proportion of red light runners is the same at both intersections, we can use a two-sample z-test for proportions.
Let p1 be the proportion of red light runners at the first intersection, and p2 be the proportion of red light runners at the second intersection. We want to test the null hypothesis:
H0: p1 = p2
against the alternative hypothesis:
Ha: p1 ≠ p2
We can use the following formula to calculate the test statistic:
z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2))
where p_hat = (x1 + x2) / (n1 + n2) is the pooled sample proportion, and x1 and x2 are the number of red light runners at the two intersections, and n1 and n2 are the sample sizes.
For the first intersection, we have x1 = 24 and n1 = 127. For the second intersection, we have x2 = 29 and n2 = 164.
The pooled sample proportion is:
p_hat = (x1 + x2) / (n1 + n2) = (24 + 29) / (127 + 164) = 0.167
The test statistic is:
z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2)) = (0.189 - 0.177) / sqrt(0.167 * (1 - 0.167) * (1/127 + 1/164)) = 0.99
Using a standard normal distribution table, we can find that the probability of getting a z-value of 0.99 or greater is 0.160. Since this is greater than the significance level of 0.01, we fail to reject the null hypothesis.
Therefore, we cannot conclude that the proportion of red light runners differs between the two intersections.
If the given expression is multiplied by 36
, which expression is NOT equivalent?
Responses
A (32
)(38
)( 3 2 )( 3 8 )
B 910
9 10
C 310
3 10
D (35
)(35
)
Answer:
The correct answer is (C) 310.
Multiplying the given expression by 36 gives:
(32)(38) + (35)(35) - (33)(37)
= 1216 + 1225 - 1221
= 1220
So the equivalent expression is 1220.
Option (C) 310 is not equivalent to 1220.
find the diameter of a circle whose circumference is 44cm
PLEASE HELP I NEED TO PASS THIS Using the probability distribution represented by the graph
below, find the probability that the random variable, X, falls
in the shaded region.
Answer: C: 5/8
Step-by-step explanation:
Simply 5/8 of the bar is filled in
Using probability, we can find probability of the random variable, x falling in the shaded region as to be 5/8.
Here, we have,
Probability is the ratio of favorable outcomes to all other potential outcomes of an event. The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The following formula can be used to determine an event's probability.
Positive Outcomes/Total Results = x/n = Probability(Event)
Let's look at a simple example to better understand probability. Imagine that we need to predict whether it will rain or not. The right response to this question is "Yes" or "No." Whether it rains or not is uncertain. Probability is used to predict the outcomes when tossing coins, rolling dice, or drawing cards from a deck of cards.
Here in the question,
Total region = 8.
Shaded region = 5
So, probability of falling in the shaded region = 5/8
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Is this a parallelogram and why?
Answer:
Yes, it's a parallelogram bcz the opposite sides are parallel and equal.
A store manager kept track of the number of newspaper sold each week over a seven week period.the result were as fellows 71,81,202,113,269,248,242
The median number of newspapers sold is 202 newspaper. So, correct option is C.
To find the median, we need to arrange the given data in ascending or descending order.
The given data in ascending order: 71, 81, 113, 202, 242, 248, 269
Since there are 7 data points, the median will be the fourth value in the sorted list. Therefore, the median number of newspapers sold is 202.
Hence, the correct answer is option C, which states that the median number of newspapers sold is 202.
The median is the middle value of a dataset when arranged in order, and it's a measure of central tendency that is less affected by outliers than the mean. In this case, the median value represents the value at which half the data points are below it and half are above it.
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Complete question is:
A store manager kept track of the number of newspaper sold each week over a seven week period. the result were as fellows 71,81,202,113,269,248,242
Find the median number of newspapers sold.
A. 175 newspapers
B. 113 newspapers
C. 202 newspapers
D. 242 newspapers
Need answer asap. Thank you for helping me.
The estimate of the cost for a 20-ft cord is given as follows:
$74.66.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points in the context of the problem are given as follows:
(3, 12.75), (5, 16), (6, 25.99), (50, 185).
Inserting these points into a calculator, the regression equation is given as follows:
y = 3.6794x + 1.06462.
Hence the estimate of the cost for a 20-ft cord is obtained when x = 20 as follows:
y = 3.6794(20) + 1.06462
y = $74.66.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
The solution of the inequality, log₂ 2m > log₂ (m + 5) is {m | m > 5 / 2}.
How to solve logarithm inequality?An inequality is an expression that have <, >, ≤ and ≥ . Therefore, let's solve the logarithmic inequality for the variable m.
Hence,
log₂ 2m > log₂ (m + 5)
Therefore, let's divide both sides by log₂.
Hence,
2m > m + 5
subtract m from both sides of the inequality
2m > m + 5
2m - m > m - m + 5
2m > 5
divide both sides by 2
2m / 2 > 5 / 2
Therefore,
m > 5 / 2
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Someone help i really need help with this
The percentage increase in the number of water bottles from February to April is 19%.
How to find the percentage increase?A company manufactures water bottles. The list describes the amount of water bottles manufactured in three months.
Therefore,
February: 4100 water bottles
March: 7% more water bottles than in February
April: 500 more water bottles than in march
Therefore,
Number of water bottles in march = 4100 + 7% of 4100
Number of water bottles in march =4100 + 7 / 100 × 4100
Number of water bottles in march = 4100 + 287
Number of water bottles in march = 4387
Hence,
Number of water bottles manufactured in April = 4387 + 500 = 4887
Therefore,
percentage increase from February to April = 4887 - 4100 / 4100 × 100
percentage increase from February to April = 787 / 4100 × 100
percentage increase from February to April = 78700 / 4100
percentage increase from February to April = 19.1951219512
percentage increase from February to April = 19%
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(PLEASE HELP! Im using a ton of points)
A new curved projection system for a small media room states the optimal viewing angle is
74° (m/ACB = 74°) when you sit 10 feet from the center of the TV (length of CD = 10 ft). The
depth of the curved screen is 2 feet (length of DE = 2 ft). Find the length of line segment AB, in feet, that corresponds to the width of the television. (Round your answer to the nearest foot)
(Thx for any help!)
The value of the length of line segment AB, in feet, that corresponds to the width of the television is,
⇒ 12 feet
We have to given that;
A new curved projection system for a small media room states the optimal viewing angle is 74° (m/ACB = 74°) when you sit 10 feet from the center of the TV (length of CD = 10 ft). The depth of the curved screen is 2 feet (length of DE = 2 ft).
Now, We can formulate;
CE = 10 - 2 = 8 feet
∠ACD = 74/2 = 37°
Hence, We can formulate;
tan 37° = AE / CE
0.75 = AE / 8
AE = 0.75 × 8
AE = 6
Hence, The value of the length of line segment AB, in feet, that corresponds to the width of the television is,
⇒ AB = 6 x 2
⇒ AB = 12 feet
Thus, The value of the length of line segment AB, in feet, that corresponds to the width of the television is,
⇒ 12 feet
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help with this question
What is the circumference of the circle in terms of pi? (C = td) О Тл О 147 О 21л * 28 л
The circumference of the circle with a radius of 10 cm is 20π cm, option (C) is correct.
A circle's perimeter, or the distance encircling it, is known as its circumference. It is determined by multiplying the circle's diameter by pi. But in this case, we are given the radius of the circle, which is half of the diameter.
To get a circle's circumference, use the following formula:
C = 2πr
where;
r = radius of the circle
π = mathematical constant pi (approximately equal to 3.14).
Given the radius of the circle as 10 cm, we can use the formula to find its circumference:
C = 2πr
C = 2π(10 cm)
C = 20π cm
Hence, option C is correct.
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The correct question is:
What is the circumference of the circle with radius = 10 cm (leave your answer of π).
A) 10π cm
B) 5π cm
C) 20π cm
D) 10π cm
Carmen invested $2,000 in a mutual fund that is front-loaded, with a loading rate of 4.75 %. What was the
loading charge of this fund? (3 points)
Answer:
$95
Step-by-step explanation:
Carmen invested $2,000 in a mutual fund with a loading rate of 4.75%. To calculate the loading charge, we can multiply the amount invested by the loading rate: $2,000 * 4.75% = $95. So, the loading charge for this mutual fund was $95.
Can someone help me with my accounting assignment please?
The State Cash Flow Statement using the direct method.
OP INV FIN
Personnel emolument 2,000,000
CRF charges 1,000,000
Statutory revenue allocation 20,000,000
Proceeds from sale of fixed assets 100,000
Purchase of marketable securities 50,000
Purchase & construction of fixed assets 500,000
Share of VAT 200,000
Share of excess crude oil 100,000
Internally generated revenue 10,000,000
Gratuities and pension 15,000,000
Miscellaneous income 50,000
Overhead expenses 36,000
Recurrent grant made 20,000
Miscellaneous expenses 10,000
Servicing & repayment of public debts 100,000
Grants & subventions from NGO 200,000
Proceeds from loan & other borrowings 300,000
Dividends received 100,000
12,234,000 -450,000 500,000
Net Cash Flow for the year ended 31 December 2006: 12,284,000
How was the cash Flow Statement using the direct method solved?To prepare the State Cash Flow Statement using the direct method, we'll classify cash flows into three categories: Operating Activities (OP), Investing Activities (INV), and Financing Activities (FIN). Then, we'll calculate the net cash flow for each category and add them together to find the net cash flow for the year.
Operating Activities:
(-2,000,000 - 1,000,000 + 20,000,000 + 200,000 + 100,000 + 10,000,000 - 15,000,000 + 50,000 - 36,000 - 20,000 - 10,000) = 12,234,000
Investing Activities:
(100,000 - 50,000 - 500,000) = -450,000
Financing Activities:
(-100,000 + 200,000 + 300,000 + 100,000) = 500,000
Net Cash Flow for the year ended 31 December 2006:
12,234,000 (Operating Activities) - 450,000 (Investing Activities) + 500,000 (Financing Activities) = 12,284,000
The above answer is in response to the question below;
The following information has been extracted from the records of WELFARE STATE of Nigeria for the year ended 31 December 2006:
Personnel emolument 2,000,000
CRF charges 1,000,000
Statutory revenue allocation 20,000,000
Proceeds from sale of fixed assets 100,000
Purchase of marketable securities 50,000
Purchase & construction of fixed assets 500,000
Share of VAT 200,000
Share of excess crude oil 100,000
Internally generated revenue 10,000,000
Gratuities and pension 15,000,000
Miscellaneous income 50,000
Overhead expenses 36,000
Recurrent grant made 20,000
Miscellaneous expenses 10,000
Servicing & repayment of public debts 100,000
Grants & subventions from NGO 200,000
Proceeds from loan & other borrowings 300,000
Dividends received 100,000
You are required to:
Prepare the State Cash Flow Statements for the year ended 31 December 2006 using the direct method approach (ICAN May 2008)
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2. Triangle ABC with A(2, 3), B(7, -1), and C(-4, 2) is reflected across the line x = -2. Find the
coordinates of B'
Answer:
B’ = (-11, 1)
Step-by-step explanation:
Because the triangle is reflected across the line x = -2, it is being reflected across a vertical line.
Therefore only the x-coordinate will change.
As B is 9 units right of the line x = 2, the coordinates of B’ will be (-2 - 9, 1)
Which will be (-11, 1)
Madam Antiowwah at oseikakookrom charged her phone to full (100%). She browse two hours. The battery life fell to 60% How many hours later would the phone or She continues to browse?
Answer:
Phone dies in 6 hours
Step-by-step explanation:
Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment, and they have an average credit score. How much is the PRINCIPAL BALANCE after applying their first month’s payment of $925.67?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
A. $89,249.80
B. $88,245.05
C. $88,912.03
D. $89,021.98
One number is 6 3/4 while another number is 2 1/6 smaller. Find the sum of these numbers.
The sum of both numbers is 107/12
How to calculate the sum of both numbers ?One number is 6 3/4
The other smaller number is 2 1/6
The sum of both numbers can be calculated as follows
= 6 3/4 + 2 1/6
= 27/4 + 13/6
= 162 + 52/24
= 214/24
= 107/12
Hence the sum of both numbers is 107/12
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The Frequency table shows The time it look students in PE class to run in 1 mile
3.) The quantity of students that are in the P.E class would be = 31 students.
4.) The number of students that ran 1 mile in under 9 minutes would be = 6 students.
How to determine the quantity of students from the frequency table?For question 3.)
To calculate the quantity of students, all the values in the frequency column is added together. That is;
Total number of students= 6+2+8+6+9 = 31 students.
For question 4.)
To calculate the number of students that ran 1 mile in less than 9 minutes would be the time range of 8.00-8.59 minutes = 6 students.
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Less than 53% of adults would erase all of their personal information online if they could . The hypothesis test results in a p-value of 0.0059
A conclusion on the null hypothesis is C. Reject H_{0} because the P-value is less than or equal to a.
What should happen to the null hypothesis ?Stated in the initial description is the null hypothesis, establishing that adults who possess a desire to eliminate all personal information available online would equate to or exceed 53%, while the alternative conjecture rests on this percentage being under 53%.
The statistical significance level at hand designated as alpha equals 0.05 indicates that a P-Value having less than or equal value of 0.05 is necessary for declining the null hypothesis. As provided by the task's question, the computed P-value registers a score of 0.0059 which falls below the established significance level of 0.50 and thus resulting in null hypothesis rejection.
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What is equivalent to x^2-5x+6
Answer:
[tex]=\left(x-2\right)\left(x-3\right)\\[/tex]
Step-by-step explanation:
Given:
[tex]x^2-5x\:+6[/tex]
To find:
Equivalent to x^2-5x+6
Explanation:
[tex]x^2-5x+6\\=\left(x^2-2x\right)+\left(-3x+6\right)\\=x\left(x-2\right)-3\left(x-2\right)\\\mathrm{Factor\:out\:common\:term\:}x-2\\=\left(x-2\right)\left(x-3\right)[/tex]
Final Answer:
(x-2)(x-3)
Can you help me with this
Answer:
[tex]\dfrac{\boxed{2}}{\boxed{3}} \times \dfrac{\boxed{1}}{\boxed{2}} = \dfrac{\boxed{1}}{\boxed{3}}[/tex]
Step-by-step explanation:
The square is 1 unit long and 1 unit wide
There are 3 smaller rectangles in the horizontal direction
Length of each rectangle is therefore 1/3 unit
There are 6 rectangles along the vertical direction
The height of each rectangle is therefore 1/6 unit
The shaded area is 2 rectangles wide and 3 rectangles in height
Width of shaded area = 2 x 1/3 = 2/3
Height of shaded region = 3 x 1/6 = 1/2
Area of shaded rectangle is
[tex]\dfrac{\boxed{2}}{\boxed{3}} \times \dfrac{\boxed{1}}{\boxed{2}} = \dfrac{\boxed{1}}{\boxed{3}}[/tex]
The whole page tysmmmm plsss step by step explanation
Answer:
Step 1:
a.) 16 pets in total (1 + 0 + 2 + 0 + 3 + 8 + 0 + 2)
b.) the mean is 2 (16 is the total number of pets, divide that by 8 which is the total number of students asked, 16/8 = 2)
Step 2:
a.) 0, 0, 0, 1, 2, 2, 3, 8 (zero, one, two, three, four, five, six, seven, eight.)
b.) 0 and 3 are the middle numbers (center.)
c.) 3/2 = 1.5 (0+3 = 3 divided by 2 = 1.5)
Step 3:
- most of the students did not have any pets, so the mode would be 0 (it is zero because zero appears in the set of numbers 3 times. More than any other number).
Step 4:
They should use the mean of the amount of pets the students have; this is because the mean is the average amount of pets counting everyone in class—regardless on if there were zeros in the list.
A new car sells for 25000 the value of the car decreases by 15% each year what is the approximate value of the car 5 years
The answer is $11,092.63.
This could be calculated using the proportion. If the value of the car decreases by 15% each year, that means that after each year the value of the car is 85% of the value from the first year.
After 1st year:
$25,000 : 100% = x1 : 85%
x1 = $25,000 · 85% ÷ 100%
x1 = $21,250
After 2nd year:
$21,250 : 100% = x2 : 85%
x2 = $21,250 · 85% ÷ 100%
x2 = $18,062.5
After 3rd year:
$18,062.5 : 100% = x3 : 85%
x3 = $18,062.5 · 85% ÷ 100%
x3 = $15,353.12
After 4th year:
$15,353.12 : 100% = x4 : 85%
x4 = $15,353.12 · 85% ÷ 100%
x4 = $13,050.15
After 5th year:
$13,050.15 : 100% = x5 : 85%
x5 = $13,050.15 · 85% ÷ 100%
x5 = $11,092.63
Therefore, the value of the car 5 years after it is purchased is $11,092.63.
f(x)=2x³-5x²
g(x)=2x-1
Find (f- g)(x)
Answer:
2x³-5x² - 2x + 1
Step-by-step explanation:
We are given
f(x) = 2x³ - 5x²
g(x) = 2x - 1
and asked to find (f - g)(x)
(f - g)(x) is nothing but f(x) - g(x)
(f- g)(x) = f(x) - g(x) = 2x³-5x² - (2x - 1)
= 2x³-5x² - 2x + 1
Question Content Area Tanning Company analyzes its receivables to estimate uncollectible accounts. The accounts receivable balance is $310,000 and credit sales are $1,000,000. An aging of accounts receivable estimates that $21,700 of the outstanding receivables will be uncollectible. What adjusting entry will Tanning Company make if Allowance for Doubtful Accounts has a credit balance of $2,200 before adjustment?
The adjusting entry that Tanning Company will make for Allowance for Doubtful Account will be:
Debit: Bad Debt Expense $21,500Credit: Allowance for Doubtful Accounts $21,500How will Tanning Company adjust the allowance?Data:
Total credit sales = $1,000,000
Accounts receivable balance = $310,000
Estimated uncollectible receivables = $21,700
The adjusted balance for allowance for doubtful accounts will be:
= Credit balance + Estimated uncollectible receivables
= $2,200 + $21,700
= $23,900
So, the Company will make an adjusting entry by debiting Bad Debt Expense for $21,500 and crediting Allowance for Doubtful Accounts for $21,500 which will increase the balance of the allowance for doubtful accounts to $23,900.
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