Answer:
Area of circle is 1145.50 cm²
Step-by-step explanation:
Given : Circumference of circle = 120 cm
We have to find the area of the given circle.
Consider the given circle
We know circumference of circle = [tex]2\pi r[/tex]
Thus, [tex]120=2\pi r[/tex]
Put π = 3.14
We have,
[tex]120 =2\times 3.14\times r[/tex]
Divide both sides by 6.28, we have,
r = 19.1 cm
Now, area of circle = [tex]\pi r^2[/tex]
Put r = 19.1
We have
Area of circle = 1145.50 cm²
Thus, Area of circle is 1145.50 cm²
A coin is tossed 20 times. It lands on heads 14 times. What is the relative frecuencue of heads?
Justin is going to the school dance. He went to the mall and bought three new shirts for $21.99 each and a new pair of dress shoes for $45.59. Which two operations would be used in order to figure out how much he spent at the store?
A. add and divide
B. multiply and subtract
C. multiply and add
D. add and subtract
Spin a spinner numbered 1-8 two times, land on two the first time and
land on a factor of 8 the second time
Answer:
Required probability = 1/16
Step-by-step explanation:
When we spin a spinner numbered 1-8, we find that each spin is independent of the other.
HEnce probability for getting any number from 1 to 8 will be equal to 1/8 and remain the same for each spin.
So Probability on two for the first time and factor of 8 on the second time
=Prob (landing on 2)*Prob (landing on any factor of 8)
P(landing on 2) = 1/8
Factors of 8 are 1,2,4,8
Prob (landing on factor of 8) = 4/8
Hence required prob = 1/8(4/8) =1/16
In the number 7,889 which contains digits where one digit is ten times the value as the other digit?
Johanna wants to rent a car for 5 days, and she's interested in the loss damage waiver but not the collision damage waiver. If the daily rate is $29 and LDW totals $62 for the rental period, what is her total rental cost?
Answer:
$207
Step-by-step explanation:
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What is the volume of a cube with a side length that measures 8cm? ANWSER ASAP please
the points (10, 6) and (7, u) fall on a line with a slope of -4/3. what is the value of u?
A dripping faucet leaks 12 gallons of water per day. How many gallons does the faucet leak in 6 days?
Ian is going to water his plants is it reasonable to say he will fill the watering can with 3 liters of water explain
Final answer:
It is reasonable for Ian to fill a watering can with 3 liters of water for watering plants, as it falls within the typical range required by houseplants and should suffice for watering multiple indoor plants or a small garden.
Explanation:
To determine if it is reasonable for Ian to fill a watering can with 3 liters of water to water his plants, we should consider the capacity of common watering cans and the typical water requirements for houseplants. For example, a standard watering can might hold anywhere from 1 to 10 liters of water, and most indoor plants generally require between 0.25 and 1 liter of water per week, depending on their size and the environmental conditions.
If Ian has several plants or a few large plants, 3 liters of water might be a perfectly reasonable amount for him to use. Without knowing the exact number and size of the plants, it is difficult to provide a precise answer, but in general, 3 liters is within a normal range for watering multiple houseplants.
For a substantial garden or larger outdoor plants, 3 liters might even be on the lower end, and multiple trips to the tap may be necessary. Thus, it is indeed reasonable to say that Ian will fill the watering can with 3 liters of water for watering plants.
Tim fisher received a 1200 discount loan to purchase a computer the loan was offered at 18% for 180 days find the interest in dollars and the proceeds for the following problem
The interest is $106.30 and the proceeds is approximately $1093.70
Calculating simple interest.
The simple interest is the amount of interest charges on the amount being borrowed and its paid by the borrower.
The simple interest can be determined by using the formula;
[tex]S. I = \dfrac{p\times r \times t}{100}[/tex]
[tex]S. I = \dfrac{1200\times 18 \times \dfrac{180}{365}}{100}[/tex]
S.I = $106.30
The proceeds for the loan = Loan amount - interest
Proceeds = $1200 - $106.30
Proceeds = $1093.70
Officials in a town use a function c to analyze traffic patterns. C(n) represents the rate of traffic through an intersection where n is the number of observed vehicles in a specified time interval. What would be the most appropriate Damian for the function
The most appropriate domain for [tex]\( C(n) \)[/tex] is non-negative integers, representing the count of vehicles observed.
The most appropriate domain for the function [tex]\( C(n) \)[/tex], which represents the rate of traffic through an intersection based on the number of observed vehicles [tex]\( n \)[/tex] in a specified time interval, would be all non-negative integers. This is because the number of vehicles observed [tex](\( n \))[/tex] can only be a whole number (you can't have a fraction of a vehicle), and it can't be negative.
So, the domain of [tex]\( C(n) \)[/tex] would be:
[tex]\[ \text{Domain: } n \in \{0, 1, 2, 3, \ldots\} \][/tex]
This means [tex]\( n \)[/tex] is any non-negative integer.
An iron bar 468 3/4 inches long is to be cut into 6 1/4 inch sections. How many sections of this length will there be?
Suppose that you have 4 shirts (red, green, blue, yellow) and 3 pairs of shoes (black, brown, red). If you choose your shirt and shoes randomly, what is the probability that your shirt and shoes will NOT be the same color?
How is the square root of 343 cubed 7?
What is the value of 6 in the number 45.026
3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet and the spot on the ground directly beneath the kite.
(a) Draw a diagram showing Janet and the kite.
(b) What is the length of the string of the kite?
Answer:
What is the approximate solution of this system of equations?
y = x2 + 3x + 3
y = x2 + x + 2
(-0.5, 0.2)
(-0.5, 1.7)
(-0.1, 1.2)
(0.2, 1.5)
Answer:
(B)
Step-by-step explanation:
The given system of equations are:
[tex]y=x^2+3x+3[/tex] (1)
and [tex]y=x^2+x+2[/tex] (2)
Subtracting equation (2) from (1), we get
[tex]0=2x+1[/tex]
⇒[tex]2x=-1[/tex]
⇒[tex]x={\frac{-1}{2}}[/tex]
⇒[tex]x=-0.5[/tex]
Now, substituting the value of x=-0.5 in equation (2), we get
[tex]y=0.25-0.5+2[/tex]
⇒[tex]y=1.7[/tex]
Thus, the values of x and y are -0.5 and 1.7.
Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).
Hence, option (B) is correct.
If the sides of a cube are 2 meters long, then its volume is A) 8 m B) 8 m2 C) 8 m3 D) 8 m4 Eliminate
Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?
Final answer:
Luis skates further to school than Isabella, as 2/3 mile is greater than Isabella's distance of 1/2 mile after simplification.
Explanation:
The question revolves around figuring out who skates further to school, Luis or Isabella. Luis skates 2/3 mile from his home to school whereas Isabella skates 2/4 mile (which can be simplified to 1/2 mile) to get to school. To determine who skates further, we look at the fraction representing the distance each person skates.
Luis's distance is 2/3 mile, and Isabella's distance, after simplification, is 1/2 mile. Since 2/3 is greater than 1/2, Luis skates further to get to school than Isabella.
This week Luis made 80% of what he made last week. If he made $72 this week, how much did he make last week
Kevin works as a salesperson at a site that specializes in custom made computers. He earns a base pay of 325$ per week and a commission on his sales. If Kevin earned a total of $1125 last week, how much of it was commission?
Answer:
$800
Step-by-step explanation:
Kevin works as a sales person at a site that specialize in custom made computers.
Kevin earns a base pay per week = $325
and a commission on his sales.
Kevin earned last week a total of = $1,125
So his commission = Total pay - his base pay
= 1,125 - 325
= $800.00
His commission was $800.
match the math sentence that count on and back by tens.
38+20=? 63+40=? 42+30=?
77-30=? 53-40=? 91-20=?
- ( 38 + 20 = 58 ): Counting 20 more than 38 gives 58.
- ( 63 + 40 = 103 ): Adding 40 to 63 results in 103.
- ( 42 + 30 = 72 ): Adding 30 to 42 gives 72.
- ( 77 - 30 = 47 ): Subtracting 30 from 77 results in 47.
- ( 53 - 40 = 13 ): Subtracting 40 from 53 gives 13.
- ( 91 - 20 = 71 ): Subtracting 20 from 91 results in 71.
let's go through each math sentence and solve them step by step:
1. ( 38 + 20 )
- Start with 38.
- Add 20 to 38.
- Calculation: ( 38 + 20 = 58 )
- So, ( 38 + 20 = 58 )
2. ( 63 + 40 )
- Start with 63.
- Add 40 to 63.
- Calculation: ( 63 + 40 = 103 )
- So, ( 63 + 40 = 103 )
3. ( 42 + 30 )
- Start with 42.
- Add 30 to 42.
- Calculation: ( 42 + 30 = 72 )
- So, ( 42 + 30 = 72 )
4. ( 77 - 30 )
- Start with 77.
- Subtract 30 from 77.
- Calculation: ( 77 - 30 = 47 )
- So, ( 77 - 30 = 47 )
5. ( 53 - 40 )
- Start with 53.
- Subtract 40 from 53.
- Calculation: ( 53 - 40 = 13 )
- So, ( 53 - 40 = 13 )
6. ( 91 - 20 )
- Start with 91.
- Subtract 20 from 91.
- Calculation: ( 91 - 20 = 71 )
- So, ( 91 - 20 = 71 )
Therefore, the solutions are:
- ( 38 + 20 = 58 )
- ( 63 + 40 = 103 )
- ( 42 + 30 = 72 )
- ( 77 - 30 = 47 )
- ( 53 - 40 = 13 )
- ( 91 - 20 = 71 )
How does the graph of g(x)=⌈x⌉+0.5 differ from the graph of f(x)=⌈x⌉?
A. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted up 0.5 unit.
B. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted left 0.5 unit.
C. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted down 0.5 unit.
D. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted right 0.5 unit.
Answer: Here is your answer!! :)
Step-by-step explanation:
Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950. If the Japanese government levies a 29.12% income tax on Miki’s tax bracket, what is her yearly take-home pay, to the nearest whole yen?
Her yearly take-home pay, to the nearest whole yen is 4792161¥
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950.
Since,
the Japanese government levies a 29.12% income tax on Miki’s tax bracket
Thus,
tax she pays = 6,760,950 *29.12%
tax she pays = 6,760,950 *29.12/100
tax she pays = 1,968,788.64¥
remaining income to take home = total income - tax
remaining income to take home = 6,760,950 - 1,968,788.64
remaining income to take home = 4792161.36¥
Therefore, her yearly take-home pay, to the nearest whole yen is 4792161¥
Learn more about percentages here:
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what is the probability of randomly choosing a day of the week that dosen't begin with the letter t and the letter s
How do u find the mean? I've never done this before the subject is try check and revise
Answer,
The mean is the average of the numbers. It's quite simple to find the mean. All you do is, add all the numbers togter & divide by how many numbers there are. In simpler words, it is the sum divided by the count.
For example,
The mean of the numbers is, 50
Explanation,
20 + 30 + 40 + 50 + 60 + 70 + 80 = 380
Then we divide 350 by how many numbers there are, 7. Then we get 50.
Hope this helps :-)
A fourth degree polynomial with real coefficients can have -4, 8i,+4i, and as its zeros. True or false? Justify your answer.
The given statement is false, as a fourth degree polynomial with real coefficients -4, 8i,+4i cannot be formed it will form three degree or cubic polynomial as given by f(x) = (x + 4)(x - 8i)(x - 4i)
What is Polynomial ?
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.
Let f(x) represent the function with zeros 4, 8i , and 4i. Hence:
x = -4; 8i; x = 4i
x + 4 = 0; x - 8i = 0; x - 4i = 0
f(x) = (x + 4)(x - 8i)(x - 4i)
The three degree polynomial is given by f(x) = (x + 4)(x - 8i)(x - 4i)
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Estimate 7 1/4-2 5/12
To estimate 7 1/4 - 2 5/12, convert the mixed numbers to improper fractions, find a common denominator, subtract, and simplify. The result is approximately 4.83, which is close to 5.
Estimating 7 1/4 - 2 5/12
To estimate the difference between 7 1/4 and 2 5/12, it's helpful to convert these mixed numbers to improper fractions first. Let's break it down step by step:
Convert the mixed numbers to improper fractions:7 1/4 = (7*4 + 1)/4 = 29/42 5/12 = (2*12 + 5)/12 = 29/12Find a common denominator for the fractions, which is 12:Convert 29/4 to a fraction with a denominator of 12: (29/4) * (3/3) = 87/12Subtract the fractions:87/12 - 29/12 = (87 - 29) / 12 = 58/12Simplify the result:58/12 simplifies to 29/6 or approximately 4.83Therefore, the estimate of 7 1/4 - 2 5/12 is approximately 5.
If 16-7w=w+14-6w16−7w=w+14−6w16, minus, 7, w, equals, w, plus, 14, minus, 6, w, what is the value of w-1w−1w, minus, 1?
Answer:
Value of w = 1
w - 1 = 1 - 1 = 0
Explanation:
We have 16 - 7w = w + 14 - 6w
Firstly, we will find the value of w.
In order to find the value of w, we will solve the linear equation for w.
Now combine like terms
16 - 14 = w - 6w + 7w
2 = 2w
2w = 2
w = [tex] \frac{2}{2} [/tex]
w = 1
Now we will find the value of w - 1
Plug the value of w = 1 into w - 1
1 - 1
= 0
So, final answer is 0
I hope it will help you.
What is 5(x+10)+x simplified