Based on the population of Brazil in 1855 and 1860, the estimated population in 1870 is C. 19.15 million
What is Brazil's estimated population in 1870?The increase in the population between 1855 and 1860 was:
= 12.51 - 10.112
= 2.398 million
The increase is:
= 2.398/10.112
= 24%
With an increase of 24% every 5 years, the population in 1870 is:
= 10.112 x (1 + 24%)³
= 19.27 million
In conclusion, we can estimate that the population of Brazil in 1870 was 19.15 million.
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Kassim has a water barrel in his garden. The water barrel is full and Kassim wants to know how much water is in the barrel. The barrel is a cylinder which is 1.1m high and has a diameter of 70cm. Give your answer in cm3 to three decimal places. Use 3.14 as an approximate to [tex]\pi \pi[/tex]
The amount of water in the barrel is 423,115 cm³.
How much water is in the barrel?A cylinder is a three-dimensional object. It is a prism with a circular base. In order to determine the amount of water in the barrel, the volume of the barrel has to be determined.
Volume of a cylinder = nr^2h
Where:
n = 3.14
r = radius = diameter / 2 = 70 / 2 = 35cm
h = height = 1.1m
100cm = 1 meter
1.1 x 100 = 110 cm
Volume of a cylinder = 3.14 x 35² x 110 = 423,115 cm³
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with reference to the figure below, find x, y, z, t such that n(U) =50, n(A) = 25, n(B) = 13 and n(A’nB’) = 12
(pls help i’m gonna cry)
Accordingly the Venn diagram The required values of x = 12 , y = 13 , z = 24 and t = 13.
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.
In Venn diagram, if two sets A and B do not intersect, then n(A∩B)=0 and n(A∪B) = n(A) + n(B).
Given: n(U) = 50, n(A) = 25, n(B) = 13 and n(A'∩B')=12
We have to determine the values of x, y, z, and t.
According to the given figure,
n(A') = n(U) - n(A)
n(A')= 50 - 25
n(A') = 25
n(B') = n(U) - n(B)
n(B') = 50 - 13
n(B') = 37
n(A∩B) = n(A') - n(A'∩B')
n(A∩B) = 25 - 12
n(A∩B) = 13
So, y = n(A∩B) = 13
As in the Venn diagram, we know that,
x + y = n(A')
x = n(A') - y
x = 25 - 13
x = 12
y + z = n(B')
13 + z = 37
z = 37 - 13
z = 24
t = n(U) - [n(A) + n(B)]
t = 50 - [25+13]
t = 50 - 37
t = 13
Therefore, the values of x, y, z and t are 12, 13, 24, and 13.
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You're going on a 1211-mile trip, and your car gets about 29 miles per gallon. Gas prices along your route average $3.10. Estimate the cost of gasoline for this trip by rounding the distance to 1200 miles, the mileage to 30 miles per gallon, and the cost of gas to $3.00 per gallon. Calculate the answer without using estimation and compare the two results. (Round your answers to the nearest cent.)
There is a difference of actual and approximations 9.46 dollars.
What is unitary method ?Unitary method is a mathematical way of first deriving the value of a single unit then multiplying the given unit to obtain the required result.
According to the given question we have to compare the results where in first case we put actual values and on the second case we round the values.
In the first case
You're going on a 1211 mile trip, and your car gets about 29 miles per gallon.
So, the total fuel consumption will be (1211/29) gallons which is
= 41.76 gallons.
Given 1 gallon of gas costs 3.10 dollars.
∴ 41.76 gallons of gas will cost ( 41.76×3.10) dollars which is
= 129.456 dollars.
= 129.46 dollars.
In the second case
It is a 1200 mile trip and the fuel economy of the car is 30 miles per gallon.
So, the total fuel consumption will be
= 1200/30
= 40 gallons.
Given 1 gallon of gas costs 3 dollars.
∴ 40 gallons of gas costs (40×3) dollars which is
= 120 dollars.
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Question: Describe a real-world situation where the function that models the situation is neither discrete or continuous.
Options:
A) A student records the number of hours she spends volunteering each week. So, the first week she volunteers for 4 hours, the sec-
ond week she volunteers for 5.5 hours, and so on.
B) A studio charges musicians to use the space and recording equipment by the hour, rounding a fraction of an hour up. So, for up to
1 hour, the studio charges $100, but for up to 2 hours, the studio charges $200, and so on.
C) A landscape company keeps track of the number of gallons of fertilizer they have left after working in each yard. So, the company
has 15.25 gallons of fertilizer left after working in the first yard, 13.5 gallons of fertilizer left after working in the second yard, and so
on.
D) A runner tracks the total number of miles he has run. So, after 1 day he ran 4 miles, after 2 days he ran a total of 8.25 miles, and so
on.
The right response is A: After working on each yard, a landscaping business keeps note of how many litres of fertilizer are still available.
Therefore, after working in the first yard, the firm has 15.25 gallons of fertilizer left, followed by 13.5 gallons after working in the second yard, and so on.
The scenario of the model should be realistic and should either be discrete or continuous, according to the query.
Discrete and continuous functions: what are they?When the value that the function uses is distinct or separate, the function is referred to as a discrete function. Similar to a discrete function, a continuous function defines its values as an interval and takes it continuously.
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John bought a gym membership for $20 each month.
He pays an additional $4 each time he attends a class
with a trainer. Last month, he spent $76 total. How
many classes did he attend with the trainer?
8 classes
19 classes
16 classes
12 classes
14 classes
Answer: 14 classes
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
76=4x+20
Step 2: Flip the equation.
4x+20=76
Step 3: Subtract 20 from both sides.
4x+20−20=76−20
4x=56
Step 4: Divide both sides by 4.
4x
4
=
56
4
x=14
WILL GIVE BRAINLIEST
1. Find the equation of the line graphed at right.
2. What are its
x and
y intercepts?
Step-by-step explanation:
Hopefully this helps you.
Tanisha read 4 books in 5 months. If she reads at a constant rate, how many books
did she read each month? Give your answer as a whole number or a FRACTION in
simplest form.
Answer:
4/5
Step-by-step explanation:
The denominator is the total.
The numerator/top.
The rate of reading book by Tanisha is 4/5 book per month.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The book read by Tanisha in 5 months = 4 book.
To find the book read by Tanisha each month,
Use ratio property,
In 5 months = 4 book
in 1 month = 4/5 book.
In one month, the book read by Tanisha is 4/5 fraction.
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7[4^2-6|5+(2^3-18)+16/8|]
PLEASE HELP ME!!! DUE TODAY, I WILL GIVE 20 POINTS!!!! NO EXPLAINATION NEEDED!!!! FIRST PERSON TO ANSWER GETS BRAINLIEST AWARD!!!!
Answer:
CD=2
BC=3
A1B1=2.4
D1E1=3.2
For the boxes on the bottom:
BC=B1C1 CD=C1D1
A1B1=AB D1E1=DE
Answer:
BC = 3
CD = 2
A1 B1 = 2.4
D1 E1 = 3.2
Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? Set A: 1 2 3 23 24 25 Set B: 9 10 11 14 16 18
a.)About the same
b.)Not enough information provided to tell
c.)Larger
d.)Smaller
Set A's standard deviation is larger than that of Set B (option c).
What are the standard deviations?
Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. Standard deviation is a measure of variation of a dataset.
In order to determine the standard deviation, take the following steps:
Determine the average of the observation:Determine the difference between each value and the average and then square the result:Determine the average of the sum of the squared differences and then find the square root of the mean:Standard deviation of Set A:
(1 - 13)² + (2- 13)² + (3- 13)² + (23- 13)² + (24- 13)² + (25 - 13)²
144 + 121 + 100 + 100 + 121 + 144 = 730
√730 / 6 = 11.03
Standard deviation of Set B:
(9 - 13)² + (10- 13)² + (11- 13)² + (14- 13)² + (16- 13)² + (18 - 13)²
16 + 9 + 4 + 1 + 9 + 25 = 64
√64 / 6 = 10.67
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Mrs.Cody needs 1 3/4 yards of fabric to make a pillow. How many yards of fabric will she need to make 12 pillows?
Answer:
21 yards
Step-by-step explanation:
1 3/4 * 12 = (12 + (3/4 of 12)) = 12 + 9 = 21
An object is launched from the top of a hill and travels in a parabolic path until it reaches the ground. Write a quadratic function
that models the path of the object with a maximum height of 200 feet, represented by a vertex of (25, 200) , landing at the point
(55.0)
Answer:
Bonjour,
Step-by-step explanation:
y=k*(x-25)²+200
0=k*(55-25)²+200 => k=-2/9
y=-2/9(x-25)²+200
The a quadratic function that models the parabolic path of the object is y = -2/9(x-25)²+ 200.
What is defined as the parabolic path?A projectile's trajectory angle is defined as a parabolic path. A parabola is just a curve that represents a quadratic equation graphically. The initial velocity of a projectile is either horizontal or upward at such an angle. If a projectile starts out straight up, it will end up straight down. It's not much of a parabola because it's squished into the a straight line.For the given question;
The maximum height of the object which is launched from the top of a hill is 200 m.
The equation of the parabola is -
y=a*(x-h)²+k
(h,k) = vertex = (25, 200)
y = a*(x-25)²+200
Put (x,y) = (55,0)
0=a*(55 - 25)²+200
=> a = -2/9
Now put the value of 'a' and form the equation.
y = -2/9(x-25)²+ 200
Thus, the a quadratic function that models the parabolic path of the object is y = -2/9(x-25)²+ 200.
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There are 10 numbers listed below. 13.5 12.5 10.8 9 11 10 12.5 13 10.5 12 What is the mode of these numbers?
Answer:
12.5
Step-by-step explanation:
13.5 12.5 10.8 9 11 10 12.5 13 10.5 12
The mode is the number that appears the most number of times.
We place the numbers in ascending order just for convenience.
9 10 10.5 10.8 11 12 12.5 12.5 13 13.5
Every number appears once except 12.5 that appears twice.
Answer: 12.5
Someone please help me with this problem
Simplify (6^2)^2
Answer: 1296
Step-by-step explanation:
(6^2)^2=
(6^(2*2))=
6^4=1296
5÷540 long divison with a grid
Answer:
0.00925925925.Step-by-step explanation:
I really don't have explanation on this.
Why, because it's too hard to explain.
The candlestick chart to the right shows market action for a
particular stock for five days in September. The lengths of
the candlesticks for September 8 and 11 are approximately
the same. Explain what this means about trading prices on
both of those days.
The lengths of the candlesticks for September 8 and 11 are approximately the same because this physical object stands in for the price range between the opening and closing prices for that trading day.
The close was lower than the open if the true body is filled in or is completely black. Real bodies that are empty indicate that the close was higher than the open.
Let's consider a case study over a longer time frame, say a week. In this example, the candle records prices from Monday through Friday of the work week. The price at which the market starts on Monday at 9:15 a.m., the first business day of the week, will be the opening price. The highest and lowest prices ever recorded will be set during that particular week.
Over a century before the West created the bar and point-and-figure charts, candlestick charts were invented in Japan. While there was a correlation between rice price and supply and demand in the 1700s, a Japanese man by the name of Homma found that traders' emotions had a significant impact on the markets.
Hence, predict the short-term direction of the price, traders utilise the candlesticks to help them make trading decisions.
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Liam tracked number of customers who entered his store each minute for an hour.
The histogram below shows the distribution of number of arrivals for a total of 60 minutes.
Describe the distribution of the arrivals.
The distribution of the arrivals based on the histogram from Liam's information can be described as being Right-Skewed.
Why is the distribution right skewed?A distribution is said to be right-skewed when its tail is to the positive direction of the number line which is the case here as the tail points towards the increasing part of the number line.
The mode would also be in the left of the mean which is the case here with the mode of 13 being less than the mean.
In conclusion, the distribution is right-skewed.
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You and your friend were thinking about pairs of whole numbers that
have a sum of 12. How many pairs of whole numbers can you find that have a sum
of 12? (Note: A whole number is equal to or greater than 0 and does not include a
fraction. 2 is a whole number. 2 ½ is not a whole number.)
Answer:
0, 12 or 12, 0
1, 11 or 11, 1
2, 10 or 10, 2
3, 9 or 9, 3
4, 8 or 8, 4
5, 7 or 7, 5
6, 6
All these pairs add up to 12.
Hope this helps :)
There are 7 pairs of whole numbers that have a sum of 12.
Given that we need to determine the pairs of whole numbers can you find that have a sum of 12.
To find the pairs of whole numbers that have a sum of 12, we can simply list all the possible combinations and count them.
Let's consider two whole numbers, x and y, such that x + y = 12. Since the numbers should be whole numbers and greater than or equal to 0, we have the following options:
x = 0, y = 12
x = 1, y = 11
x = 2, y = 10
x = 3, y = 9
x = 4, y = 8
x = 5, y = 7
x = 6, y = 6
So, there are 7 pairs of whole numbers that have a sum of 12.
These pairs are (0, 12), (1, 11), (2, 10), (3, 9), (4, 8), (5, 7), and (6, 6). Each of these pairs satisfies the condition that both x and y are whole numbers and their sum is equal to 12.
Note: We only consider x and y values up to 6 since beyond that, the sum would exceed 12, and we are only looking for pairs with a sum of 12.
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Mr Moon bought a coffee and a sandwich every day for 100 days
from his local shop. In total, he spent £783.68. How much is one
coffee and sandwich? Round your answer to 2 decimal places.
Answer:
7.84
Step-by-step explanation:
783.68
[tex]783.63 \div 100 = 7.8363[/tex]
Approx to 7. 84
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have just determined Net Income for Adventure Travel in the previous question. Now, you must prepare the Statement of Retained Earnings.
What is the Retained Earnings Balance as of the Ending of the Year, December 31, 20XX? Specify whole number.
The Retained Earnings Balance as of the Ending of the Year, December 31, 20XX is $23,900
What is net income?
The net income is the excess of fees earned by Adventure Travel in the year ended over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense
total expenses=32,800+16,800+3960+4000+2800
total expenses=60,360
fees earned=75,000
net income =fees earned-total expenses
net income=75,000-60,360
net income=$14,640
Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid
Retained earnings=$14,640+$ 10,260-$1,000
Retained earnings=$23,900
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Solve this system by substitution (Pls answer step by step so I can understand thank you!)
Answer:
-3
Step-by-step explanation:
1) -x-y = 9
2) -3x+y = 3
By adding 3x to each side on equation #2, you get that y = 3+3x.
Now, we can substitute the value of y into the second equation. If you do this, you will get that [tex]-x-(3+3x)=9[/tex].
Simplifying gives you: [tex]-4x-3=9[/tex]
Adding three to both sides: [tex]-4x=12[/tex]
And finally dividing by negative four: [tex]x=-3[/tex]
You will get x = -3
Enter the prime factorization of 240. Use exponents for repeated factors. Be sure to use the between different factors. For example, the prime factorization for 12 can be entered as 2 ^ 2 * 3 or 3 * 2 ^ 2
Answer: 240=2⁴*3*5
240=2*2*2*2*3*5
240=2⁴*3*5
PLEASE HELP I NEED TO FINISH
Answer: x=-4
Step-by-step explanation:
Pls help I’ll brainlest and add extra points
Answer:
Step-by-step explanation:
b. 3^5
c. 2^7
d. xy^7
e. 64xy^5
I need help with this please
Answer:
133
Step-by-step explanation:
SP is part of a line and line is 180°
so:
m∠PQR + m∠RQS= 180°
(3x-5) + ( x+1) = 4x-4=180
4x = 184
x= 46
m∠PQR = 3X-5 = 3(46)-5 =133
Answer:
133
Step-by-step explanation:
Supplementary angles are angles that sum to 180°, meaning they form a straight line.
Solving for x
Since we know that these 2 angles will sum to 180 (remember they are supplementary) we can add their expression together and set it equal to 180.
(3x-5) + (x+1) = 180Next, combine like terms.
4x - 4 = 180Add 4 to both sides
4x = 184Divide by 4
x=46Solve for m∠PQR
Now that we know the value of x, we can find the measure of PQR. Simply plug 46 in for x and solve.
3(46) - 5 = 133This means that m∠PQR = 133°.
A pail holds 634 gallons of water. How much is this in cups?
Answer: 10,144 cups
Step-by-step explanation:
45 is what percent of 180?
Answer:
It is 25% percent......
Answer:
Step-by-step explanation:
45 / 180 = 0.25
25%
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u=1.4 kg and a standard deviation of a = 4.6 kg. Complete
parts (a) through (c) below.
Save
a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year.
The probability is
(Round to four decimal places as needed.)
By using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547
What is normal distribution?
A probability distribution known as a "normal distribution" is symmetric about the mean and indicates that data that are close to the mean are more likely to occur than data that are far from the mean.
Given that:
μ= 1.4
σ=4.6
We know the formula of normal distribution is z = (x-μ)/σ
[tex]P(0 < x < 3)=P(x < 3)-P(x < 0)[/tex]
For [tex]P(x < 3)[/tex]
[tex]z=\frac{3-1.4}{4.6} \\z=0.35[/tex]
By using the z-table [tex]P(x < 3)=0.6368[/tex]
For [tex]P(x < 0)[/tex]
[tex]z=\frac{0-1.4}{4.6}\\z=-0.30[/tex]
By using the z-table [tex]P(x < 0)=0.3821[/tex]
Substituting [tex]P(x < 3)[/tex] and [tex]P(x < 0)[/tex] in [tex]P(0 < x < 3)[/tex]
we get,
[tex]P(0 < x < 3)=0.6368-0.3821\\P(0 < x < 3)=0.2547[/tex]
Therefore, by using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547
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My question is in pictures
The standard price night cost at Night-Time Rest Days is $ 26.30 .
Average = Sum of all the observations/Number of observations
Substituting the values in the formula, we get that:
⇒ $ 20.60 = $( 22.45 + 18.55 + 24.50 + 11.20 + x )/5
⇒ $ 20.60 = $ (76.7 + x)/5
⇒ 20.60 × 5 = 76.7 + x
Solving to find the value of x, we get that
⇒ 103 = 76.7 + x
⇒ x = 103 - 76.7
⇒ x = 26.3
Therefore, the standard price night cost at Night-Time Rest Days is $ 26.30 .
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(2x-22)+(5x-8)=180
what is x
Answer:
x =30
Step-by-step explanation:
2x-22+5x-8=180 (st. line)
7x-30=180
7x=210
x=210/7
x=30
