What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?
Answers
Answer:
3493
Step-by-step explanation:
Pages 1 through 9:
There are 9 pages using 1 digit each.
9 * 1 = 9
Pages 10 through 99:
There are 90 pages using 2 digits each:
90 * 2 = 180
Pages 100 through 999:
There are 900 pages using 3 digits each:
900 * 3 = 2700
Pages 1000 through 1150:
There are 151 pages using 4 digits each.
151 * 4 = 604
Total number of digits:
9 + 180 + 2700 + 604 = 3493
Answer: 3493
Related Questions
which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
Answers
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
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What is the chance in percentage (%) that the child being heterozygous for the trait?
Answers
The chance in percentage (%) that the child being heterozygous for the trait is 50% chance of a healthy heterozygous (Aa) carrier child & 25% chance of a homozygous recessive (aa) child.
The Punnett square below makes it clear that at each birth, there will be a 25% chance of you having a normal homozygous (AA) child, a 50% chance of a healthy heterozygous (Aa) carrier child like you and your mate, and a 25% chance of a homozygous recessive (aa) child who probably will eventually die from this condition.
If both parents are carriers of the recessive allele for a disorder, all of their children will face the following odds of inheriting it:
25% chance of having the recessive disorder
50% chance of being a healthy carrier
25% chance of being healthy and not have the recessive allele at all.
Hence the answer is The chance in percentage (%) that the child being heterozygous for the trait is 50% chance of a healthy heterozygous (Aa) carrier child & 25% chance of a homozygous recessive (aa) child.
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A truck's position relative to a Carr's position is 60 feet. The car and the truck move in the same direction, but the car moves 5 feet per second faster for 8 seconds. What operation could be used to find the truck's relative position after 8 seconds?
Answers
In linear equation ,The truck's relative position with respect to the car is 100 feet
What is linear equation ?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.If the truck is moving at a seed "V" then its position after 8 seconds is going to be:
XT = V* t = V * 8 = 8 V
The car, which is initially 60 feet ahead of the truck and starts moving at 5 m/s faster than the truck, would have a speed given by: V + 5
And its position (relative to the truck's) would be:
XC = 60 + (V + 5) * t = 60 + (V + 5) * 8 = 60 + 40 + 8 V = 100ft + 8 V
then the position of the truck relative to that of the car would be given by the difference:
XT - XC = 8 V - (100 +8 V) = 8 V - 8 V - 100ft = -100 feet
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The state fair is a popular field trip destination. This year the senior class at Lakota West and Lakota East both planned trips there. The senior class at Lakota West rented and filled 8 vans and 8 buses with 240 students. Lakota East rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answers
Answer:
For High School A, the equation is 8x+8y=240, with x representing number of students in a van and y representing the number of students in a bus. For High school B, the equation is 4x+y=54.
Now solve the system of equations to find the values of your variables.
4x+y=54 means that y=54-4x.
Now plug in this value of y into the equation for High School A.
8x+8(54-4x)=240
8x+432-32x=240
192=24x
8=x
Now that you have solved for x, plug this value in to one of the equations to solve for y.
4(8)+y=54
y=22
To check this solution of x=8 and y=22, plug these values into the other equation
8(8)+8(22)=240
Because this is correct, you know that each van holds 8 students and each bus holds 22 students.
k) v=u+ax make x the subject
Answers
Answer:
x = (v - u) / a
Step-by-step explanation:
v = u + ax.
subtract u from both sides:
v - u = ax.
divide both sides by a:
(v - u) / a = x.
so x = (v - u) / a.
this can also be written v/a - u/a
Hi I’m a tutor ask me if you need help
Answers
Answer:
are you realy a tutor?
Step-by-step explanation:
Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change in Eliza's account from the 2nd month to the 10th month. Show all work for full credit.
Answers
Answer:
25
Step-by-step explanation:
First, lets create a equation for our situation. Let x be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
25x+100
We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10].
We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.
The work is below in a png.
Answer:Answer:
25
Step-by-step explanation:
First, lets create a equation for our situation. Let x be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
25x+100
We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10].
We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.
The work is below in a png.
Step-by-step explanation:
How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
Answers
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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Hey can anyone help me understand how to graph this?
Answers
Answer:
Step-by-step explanation:
?
In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
Answers
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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Along with calculating the ratios, what else is needed for your report?
options:
Making observations and identifying trends that are suggested by the ratio analysis
Identifying the factors that drive the trends in the ratios
Both of the above
Ratios that help determine whether a company can access its cash and pay its debts that mature in less than a year are called ________ ratios.
These ratios, which help determine how efficiently a firm is using its assets to generate sales are called _______ ratios.
Ratios that help assess a company’s ability to service the interest and repayment obligations on its long-term debt and the degree to which it uses borrowed versus invested financial capital are called _________
Answers
Answer:
Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial
statements:
⚫Balance Sheet
•Income Statement
⚫Statement of Cash Flows
.5 Categories
The five (5) major categori in the financial ratios list include the following:
•Liquidity Ratios
•Activity Ratios
•Debt Ratios
•Profitability Ratios
•Market Ratios
Step-by-step explanation:
Sana makatulong
Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.
Explanation:In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:
Ratios that help determine whether a company can access its cash and pay its debts that mature in less than a year are called Liquidity Ratios.Ratios which help determine how efficiently a firm is using its assets to generate sales are called Activity Ratios.Ratios that help assess a company’s ability to service the interest and repayment obligations on its long-term debt and the degree to which it uses borrowed versus invested financial capital are called Leverage Ratios.
However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.
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What is the y-intercept of the line that passes through the points (-11,17) and (17, 6)?
Round your answer to 1 decimal place.
Answers
Point-slope equation for line of slope -11/28 that passes through (-12, 1):
y-1 = (-11/28)(x+12)
y = (-11/28)x - 27/7
y-intercept = -27/7
Of the delegates at a convention, 60% attended the breakfast forum, 70% attended the dinner speech and 40% attended both events. If a randomly selected delegate is known to have attended the dinner speech, the probability that he also attended the breakfast forum is
Answers
Answer:
The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Attended the dinner speech.
Event B: Attended the breakfast forum.
70% attended the dinner speech
This means that \(P(A) = 0.7\)
40% attended both events.
This means that \(P(A \cap B) = 0.4\)
The probability that he also attended the breakfast forum is
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714\)
The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.
What are the rules of multiplying decimals?
Answers
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation:
Solve the following triangle. Round side measure to the nearest tenth and angle measure to the nearest degree:
Answers
Answer: \(AB=4.7, BC=8.8, \angle C=28^{\circ}\)
Step-by-step explanation:
As angles in a triangle add to 180 degrees,
\(\angle C=180^{\circ}-90^{\circ}-62^{\circ}=\boxed{28^{\circ}}\)
We know that:
\(\sin 62^{\circ}=\frac{BC}{10}\\\\BC=10\sin 62^{\circ} \approx \boxed{8.8}\)
Similarly,
\(\cos 62^{\circ}=\frac{AB}{10}\\\\AB=10\cos 62^{\circ} \approx \boxed{4.7}\)
43 is 18% of what number?
Answers
Answer:
238.888888889
Step-by-step explanation:
Divide 43 by 18, then multiply by 100
A university student is selecting courses for his next semester. He can choose from 8 science courses and 4 humanities courses. In how many ways can he choose 4 courses if more than 2 must be science courses
Answers
The number of ways which he can choose 4 courses if more than 2 must be science is; 224 ways.
Combination of outcomes;
He can choose from 4 humanities courses and 8 science courses.
If the condition requires that he chooses more than 2 science courses, it follows that;
He can only choose three science courses and only 1 humanities courses.
8C3 x 4C1 = 56x 4 = 224
On this note, the number of ways he can choose the required 4 courses is; 224 ways.
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PLEASE HELP, WILL GIVE BRAINLIEST!!!
Find the inverse of f(x)=6x-4
and find f^-1(62)
Answers
=========================
Explanation:
To find the inverse, or f^-1 of a function, you first replace the y= 6x-4 with x=6y-4
Finding the inverse from here is basically just finding y in terms of x.
1) x=6y-4
2) x+4=6
3) (x+4)/6= y
y= (x+4)/6 is now your f^-1.
Now that you have your inverse, replace 62 with your x in y=(x+4)/6
1) (62+4)/6
2) 66/6
3) 11
Therefore, f^-1(62)= 11
Hope this helps :)
Step-by-step explanation:
swap the variables:
y=6x−4 becomes x=6y−4.
Now, solve the equation x=6y−4 for y.
y=x+46 is the inverse function
f^-1(62)
substitude x=62
y=x+46
y= 62+46
y=108
f^-1(62)=108
brainliest please~
A team of 5 professionals adopts a 360-degree feedback approach, in which all colleagues must schedule 1:1 meetings to share with all teammates their mutual opinion on each other's performance during the year. Once the process is successfully completed, how many meetings have occurred?
Answers
Once the 360-degree feedback process is successfully completed, 20 meetings would have occurred.
What is professional?A professional is a member of a profession or any person who works in a specified professional activity.
In a 360-degree feedback approach, each professional must meet with all other colleagues to share their mutual opinions. Therefore, each professional must have one meeting with each of the 4 other colleagues, for a total of 4 meetings per person.
For a team of 5 professionals, the total number of meetings that must occur is 5 professionals * 4 meetings per person = 20 meetings.
So, once the 360-degree feedback process is successfully completed, 20 meetings would have occurred.
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Simplify:
2
(
3
x
)
+
(
x
+
10
)
2(3x)+(x+10)
Answers
Answer:
7x+10
Step-by-step explanation:
2x(3x)+1x(x+10)
6x+1x+10
7x+10
A side of the triangle below has been extended to form an exterior angle of 156º. Find
the value of x.
Answers
Answer:
x = 69
The exterior angle is equal to the sum of the opposite interior angles in a triangle
x+90 = 159
Subtract 90 from each side
x +90-90 = 159-90
x =69
Step-by-step explanation:
Hope this helps:)
Help I’m giving all my points for this question and brain will be given
Answers
Answer:
55,000
Step-by-step explanation:
Look at 40 on the x-axis and the y-axis. The line is inbetween 50 and 60 so the best answer would be 55,000
Melany takes her little sister to the zoo. They go see their favorite animal, the giraffe. At the gift shop, Melany buys a stuffed giraffe for her little sister that has a scale on 4 in : 3 ft. If the real giraffe is 18 feet tall, how tall is the stuffed giraffe, in inches?
Answers
Let us set up a proportion.
4/3 = 18/t
Let t = height of giraffe (in inches)
We also have to change units to make our math work easier.
There are 12 inches in one foot.
So, 3 feet = 36 inches and 18 feet = 216 inches.
Our new proportion set up is:
4/t = 36/216
36t = 4(216)
36t = 864
t = 864/36
t = 24
The toy giraffe is 24 inches tall.
Find the circumference of the circle. Use 3.14 for . Round to the nearest hundredth,.12.5 in. The circumference of the circle is about inches.
Answers
69r + E is the answer
M is an example of all of the following except
a term
a variable
an expression
a constant
Answers
I need help solving this
Answers
1. The value of 312.6525° in 39°39'9" degrees-minutes-seconds is
2. The value
114°9'56" to degree 114.1656°
How do we convert degrees to degrees-minutes-seconds ?Degree is a unit of measurement for angles. and we can convert degrees to minutes and seconds
1° = 60'
1' = 60''
Therefore
1° = 3600"
1. Converting 312.6525° to degrees-minutes-seconds
= 312°
0.6525° = 0.6525 × 60 = 39.15'
0.15' = 0.15 × 60 = 9''
Therefore ;
312.6525° = 39°39'9"
2. converting
114°9'56" to degree
= 114° + (9/60)°+ 56/3600
= 114 + 0.15 + 0.0156
= 114.1656°
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Calculate slope using the slope formula
Answers
Answer:
m= -125/176
Step-by-step explanation:
40% de_____=60
Es urgente por favor con explicación
Answers
Answer:
Hola 15 es tu respuesta
Step-by-step explanation:
por 40% puedes convertirlo en 4, multiplicar por 15 y obtendrás 60
espero que esto ayude
Madeline spends all of her spare money on widgets, which cost $2 each, and gizmos, which cost $2 each. What is her opportunity cost if Madeline buys 12 widgets? opportunity cost:
Answers
The opportunity cost of Madeline based on the information would be 8 units of gizmos .
What is the opportunity cost of Madeline?The benefit or gain that a person might have obtained or earned if he or she had not chosen the current alternative is known as opportunity cost.
Madeline has spent $24 ($2 x 12) on the widgets in this question since she purchased 12 of them at a cost of $2 each. In this case, her opportunity cost would be the gadgets she could have purchased, which works out to $24 / $3 = 8 units.
Therefore, the opportunity cost is 8 units.
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Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 60 grams, how much of the element would remain after 30 years, to the nearest whole number?
Answers
Answer:
12
Step-by-step explanation:
60(1/2)^30/13 = 12.118996