Answer:
\( \frac{1369}{11100} \)Step-by-step explanation:
Let,
x = 0.123333.....
1000x = 123.333.....
1000x = 123.21 + 0.123333..... = 123.21 + x
1000x - x = 123.21
999x = 123.21
\(x = \frac{123.21}{999} \)
\(x = \frac{13.69}{111} \)
\(x = \frac{1369}{11100} \)
Hence,
0.123333333.... as a fraction will be :
\( \frac{1369}{11100} (ans)\)
what is the probability of a 200 year flood this year
Answer:
0.5 chance
Step-by-step explanation:
Likewise, the term "100-year storm" is used to define a rainfall event that statistically has this same 1-percent chance of occurring.
Answer:
0.5
Step-by-step explanation:
The possibility are very very very low, but never a no
The population of a country on January 1, 2000, is 20.7 million and on January 1, 2010, it has risen to 22.6 million. Write a function of the form P(t)
Answer:
P(t) = 20.7e^0.0087816t
Step-by-step explanation:
Given that :
Initial population ; Jan 1, 2000 = 20.7 million
Current population ; Jan, 2010 = 22.6 million
A function of the form P(t)
Where t = time
Usingbthe exponential growth function :
P(t) = Poe^rt ;
P(t) = population at a time after the initial population figure
Po = initial population
r = growth rate
t = time in years
P(t) = population in 2010 = 22.6 million
Po = population in 2000 = 20.7 million
t = 10 years
22.6 = 20.7e^r * 10
22.6 = 20.7e^10r
22.6 / 20.7 = e^10r
1.0917874 = e^10r
Take the In of both sides
In(1.0917874) = 1n(e^10r)
0.0878162 = 10r
r = 0.0878162 / 10
r = 0.0087816
Hence,
P(t) = 20.7e^0.0087816t
The perimeter of a rectangle is 343434 units. Its width is 6.56.56, point, 5 units.
Write an equation to determine the length (l)(l)left parenthesis, l, right parenthesis of the rectangle.
The length of the rectangle is 10.5 units.
What is perimeter?
Perimeter is the distance of a two-dimensional shape. It is equal to the sum of the lengths of all the sides of the shape. The perimeter is measured in units, such as centimeters, meters, feet, or inches, depending on the unit of measurement used for the dimensions of the shape.
The perimeter of a rectangle is given by the formula:
P = 2l + 2w
where P is the perimeter, l is the length, and w is the width.
In this case, we know that the perimeter is 34 units, and the width is 6.5 units. So we can substitute these values into the formula and solve for the length:
34 = 2l + 2(6.5)
Simplifying, we get:
34 = 2l + 13
Subtracting 13 from both sides, we get:
21 = 2l
Dividing both sides by 2, we get:
l = 10.5
So the equation to determine the length of the rectangle is:
2l + 2w = P
Substituting the known values, we get:
2l + 2(6.5) = 34
Simplifying and solving for l, we get:
2l + 13 = 34
2l = 21
l = 10.5
Therefore, the length of the rectangle is 10.5 units.
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Complete question: The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle.
HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
find the absolute value/9/
Answer
The absolute value /9/ = 9
Explanation
The absolute value of a number is itself if it is positive or zero and it is the opposite if it is negative.
-4 + -2 =
Hurry it’s a test
hope it helps you ♡♡
There is 1/3 of a pizza left to split between 3 of your friends. If you split the pizza equally what fraction of the pizza will each s get
Answer:
1/9
Step-by-step explanation:
At what rate per annum compound
interest will N4000 amount to N5353
in 5 years?
Answer: Just look it up on goo gle
Step-by-step explanation:
The rate per annum compound interest is approximately 11.5%.
To find the rate per annum compound interest, we can use the formula for compound interest:
\(A = P(1 + r/n)^{nt}\)
Where:
A = the final amount (N5353 in this case)
P = the principal amount (N4000 in this case)
r = the annual interest rate (what we want to find)
n = the number of times interest is compounded per year (assuming once per year)
t = the number of years (5 years in this case)
Now, we can plug in the values:
\(N5353 = N4000(1 + r/1)^{1*5}\)
Divide both sides by N4000:
\(1.33825 = (1 + r)^5\)
Now, isolate (1 + r) by taking the fifth root of both sides:
\(1 + r = (1.33825)^{1/3}\\1 + r \approx 1.115\)
Now, subtract 1 from both sides to find the interest rate (r):
r ≈ 1.115 - 1
r ≈ 0.115
Finally, convert the interest rate to a percentage:
r ≈ 0.115 * 100
r ≈ 11.5%
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A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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Joanna's vegetable garden covers an area of 16 of a square mile. If the garden is 14 mile wide, how long does the garden stretch?
112 mile
1 over 12 mile
512 mile
5 over 12 mile
23 mile
2 thirds mile
34 mile
The length of the rectangular garden given the area and width is 8/7 miles
Area of rectangleA rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.
Width of the rectangular garden = 14 mileLength of the rectangular garden = x mileArea of the garden = 16 square milesArea of a rectangular garden = length × width
16 = x × 14
16 = 14x
divide both sides by 14x = 16 / 14
x = 8/7 miles
Therefore, the length of the rectangular garden given the area and width is 8/7 miles.
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how does the NBA draft work?
The NBA draft is an important event for teams to improve their roster and build for the future.
Explaining the NBA draftThe NBA draft is an annual event where the teams in the National Basketball Association (NBA) select new players to join their team.
The order in which the teams select players is determined by a lottery, with the worst-performing teams from the previous season having a higher chance of getting a higher draft pick.
The draft consists of two rounds, with each team having one pick per round.
Teams can also trade their draft picks with other teams before or during the draft. The selected players are then signed to a contract and can begin playing for their new team in the upcoming NBA season.
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Can you estimate 3x92=?
Answer:
276.
Step-by-step explanation:
you would have to do 90x3=270 then 2 times 3 equals 6 then you should get your answer
Please help me I’ll mark you brainly
On solving the provided question, we can say that - here in graph we have on solving equation \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
from graph, x= 2
y = 1
\(2x^2+ 9y^2 \\\)
\(8 + 9 = 17\)
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There is a population of 30 bacteria in a colony. If the number of bacteria doubles every 500 hours, what will the population be 1,000 hours from now?
Answer:
120
Step-by-step explanation:
0:30
500:60
1000:120
Which equation could represent the following:
5 less than a number is 8.
On - 5 = 8
0 5 - n = 8
On + 5 = 8
0 5 + n = 3
Answer:
n - 5 = 8
Step-by-step explanation:
5 less than a number = a number subtracted by 5
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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consider the verizon data. find a 95% ci for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.
A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.
Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.
Next, we use the formula for a confidence interval for the ratio of medians:
=> (M1/M2) +/- (Z * SE(M1/M2)),
where Z is the critical value from a standard normal distribution for a 95% confidence level.
The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.
Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.
Complete Question:
Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
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what are the measurements of angles 1,2,3,4 ?
HERE IS THE ANSWER YOU WANT...
ITS COREECT....
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Can y’all help me on question 19?!
Answer:
Its D
Step-by-step explanation:
Speed was increased 20% to 48 mph. What was the speed before the increase
Answer:
40 mph
Step-by-step explanation:
If the speed increased by 20%, now the speed is 120% of the original speed.
48 mph is 120%, so dividing by 6 will get 8 which is 20%.
If 8 is 20%, you can multiply it by 5 to get 40, which is 100%. This means 40 mph is the original speed.
Hope this helps!
#9.
The table represents some points on the graph of linear function f.
Which function represents f ?
f(x)=32(3 x-1)
f(x)=-32(x-3)
f(x)=-2(32 x-3)
f(x)=16(2 x-1)
The function represents f ( x ) is f ( x ) = 32 ( 3x - 1 )
Given :
The table represents some points on the graph of linear function f.
Table :
x -2 1 5 10
f ( x ) -224 64 448 928
take two points ( 5 , 448 ) and ( 1 , 64 )
slope m = 64 - ( 448 ) / 1 - ( 5 )
= 64 - 448 / 1 - 5
= -384 / -4
= 384 / 4
= 192 / 2
= 96
( 1 , 64 ) on
y - 64 = 96 ( x - 1 )
y - 64 = 96x - 96
y = 96x - 96 + 64
y = 96x - 32
take 32 as common
= 32 ( 3x - 1 )
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Joaquin wants to make his famous chocolate chip cookies to bring to his friend's birthday party. The original recipe serves 8 people and requires 1/2 of a cup of butter but he
needs it to serve 28 people. How many cups of butter will he need?
Answer: He will need 1 1/4 cups of butter
Step-by-step explanation:
1. We can do 28/8 to find how much we need to multiply our 1/2 cup of butter to keep the ratio of people to cups of butter the same. 28/8= 3 1/2
2. Then we can multiply 3 1/2 and 1/2 to get 1 1/4 cups of butter.
Joaquin requires 5.25 cups of butter to serve 28 people.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Given that the original recipe serves 8 people and requires 1/2 of a cup of butter but he needs it to serve 28 people.
Let the quantity of butter required for the new recipe be x.
To determine how much to multiply our 1/2 cup of butter in order to keep the same proportion of persons to cups of butter,
we can use the ratio of 28/8.
So, 8:1.5::28:x
⇒ 8x = 42
⇒ x = 5.25
Hence, Joaquin requires 5.25 cups of butter to serve 28 people.
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The last dividend of Delta, Inc. was $5.95, the growth rate of dividends is expected to be 3.14 percent, and the required rate of return on this stock is 11.88 percent. What is the stock price according to the constant growth dividend model?
Round the answer to two decimal places.
Your Answer:
The stock price according to the constant growth dividend model is $68.11 (rounded to two decimal places).
What is stock price?The market value of a share of ownership in a publicly traded corporation is referred to as a stock price.
It is the price that investors are prepared to pay to purchase or sell the company's shares at a specific time, depending on the company's financial performance, its future growth prospects, and the state of the market as a whole.
Investors, analysts, and other members of the financial community pay careful attention to the stock price as it is frequently viewed as a significant indicator of the company's overall worth and health.
According to the constant growth dividend model, the stock price (P) is given by the formula:
P = D / (r - g)
where D is the last dividend, r is the required rate of return, and g is the growth rate of dividends.
Substituting the given values, we get:
P = 5.95 / (0.1188 - 0.0314)
P = 5.95 / 0.0874
P = 68.11
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A loaf of sandwich bread contains 24 slices. Which of these tables correctly shows the ratios of different numbers of loaves of bread to the numbers of total slices they contain?
Answer:
which table?
Step-by-step explanation:
im assuming it would look like this
1 24
2 48
3 72
4 96
5 120
6 144
7 168
8 192
9 216
10 240
just multiply the number of loaves to 24
Hope this helped :)
Can you please work out what x is? I got confused.
f(x) = 2 sin x- tanx is not a sinusoid.
Answer: true
Step-by-step explanation:
right on edg
64° 42 °
xº
48°
Find the value of x
Discuss measures that can be taken to develop the spirit of hard work
Let the set A = {p, q, r}Define in extension A²Calculate Card A²Check that Card A² = (Card A) ²Card : Cardinality
SOLUTION
Giving The set
\(A=\mleft\lbrace p,q,r\mright\rbrace\)Then from cartesian coordinate of a set,
\(A^2=A\times A=\mleft\lbrace p,q,r\mright\rbrace\times\mleft\lbrace p,q,r\mright\rbrace\)Then we expand the set above
\(A^2=\mleft\lbrace(p,p\mright),(p,q),(p,r),(q,p),(q,q),(q,r),(r,p),(r,q),(r,r)\}\)The extension of a set is the set itself.
Hence
\(\begin{gathered} \text{extension A}^2=A^2 \\ \text{extension A}^2=\lbrace(p,p),(p,q),(p,r),(q,p),(q,q),(q,r),(r,p),(r,q),(r,r)\} \end{gathered}\)Extension A² = {(p,p),(p,q),(p,r),(q,p),(q,q),(q,r),(r,p),(r,q),(r,r)}
The cardinality of a set is the number of elements in the set.
\(\begin{gathered} \text{Cardinality of A}^2=cardA^2 \\ \text{cardA}^2=9 \end{gathered}\)Hence
Card A²=9
Then Card A is
\(\begin{gathered} \sin ce\text{ A=}\mleft\lbrace p,q,r\mright\rbrace \\ \text{cardinality of A=CardA=3} \\ \text{Hence } \\ (CardA)=3^2=9^{} \end{gathered}\)Therefore
\(\text{cardA}^2=(\text{card)}^2=9\)Therefore
cardA²=(card)²=9
A
X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C
Answer:
x = 4
Step-by-step explanation:
if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.
DE is such a line , then
\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\) ( substitute values )
\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )
3x = 2(x + 2)
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
Vertical angles are congruent
a. never
b. sometimes
c. always
Answer:
C
Step-by-step explanation:
because vertical angles angles that are opposite each other and formed by two intersecting lines are congruent
hope this helps :D