The the wind speed of a tornado with Beaufort number 9 is 51.3 miles per hour.
What is speed?
Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in meters per second (m/s) in this example because the distance is measured in meters (m) and the time is measured in seconds (s).
Given:
The Beaufort Scale measures the intensity of tornadoes. For a tornado
with Beaufort number B, the formula [tex]v = 1.9B^\frac{3}{2}[/tex] may be used to
estimate the tornado's wind speed in miles per hour.
We have to estimate the wind speed of a tornado with Beaufort number 9.
Plug B = 9 in the formula [tex]v = 1.9B^\frac{3}{2}[/tex]
⇒
[tex]v = 1.9(9)^\frac{3}{2} \\v = 1.9(27)\\v = 51.3[/tex]
Hence, the the wind speed of a tornado with Beaufort number 9 is
51.3 miles per hour.
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The ratio of blueberries to strawberries is 1:7 if there are 210 strawberries how many blueberries are there.
Answer:
30 blueberries
Step-by-step explanation:
1: blueberry
7: strawberries
?: blueberries
210: strawberries
[tex] \frac{1}{7} = \frac{?}{210} [/tex]
210÷7=30
1×30=30
Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence.
What will Leo's balance be after 8 months?
Leo's bank balance will be $
after 8 months.
Leo's balance after 8 months is $1725.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
1500, 1530, and 1560 is a geometric sequence.
First term.
a = 1500
Common ratio.
r = 1.02
The nth term of a geometric sequence is a[tex]r^{n-1}[/tex].
Now,
For n = 8,
8th term.
= 1500 x [tex]1.02^7[/tex]
= 1500 x 1.15
= 1725
Thus,
The balance after 8 months is $1725.
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find the area of the figure below:
Answer:
104 ft^2
Step-by-step explanation:
Answer:
104 ft²
Step-by-step explanation:
you can solve this multiple ways, one way is: find the area of the big rectangle and subtract from it the area of the small rectangle
big rectangle
A big = 8 * (5+6+5)= 8 * 16 = 128 ft²
small rectangle
Asmall = 4*6 = 24 ft²
area of the shape
Abig -Asmall = 128-24 = 104 ft²
Davis earns a 4% commission for all furniture he sells. If David receives $7509 in commission this year , what is the dollar amount of his sales?
Answer:
187,725
Step-by-step explanation:
7,509/.04=187,725
Edwin got 95% of the questions right on a quiz. If there were 20 questions on the quiz, how many questions did he miss??
Answer:
He got a 19 out of 20, great job Edwin ;)
Step-by-step explanation:
Hope this helps :)
Edwin missed 1 question on the quiz.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
If Edwin got 95% of the questions right on a quiz and there were 20 questions in total, we can calculate the number of questions he missed by finding 5% of the total number of questions.
First, let's find 5% of 20:
= 5% of 20
= (5/100) x 20
= 1 x 20 / 100
= 20 / 100
= 0.2
Since we can't have a fraction of a question, we round the decimal up to the nearest whole number.
In this case, 0.2 rounds up to 1.
Therefore, Edwin missed 1 question on the quiz.
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Which equation represents the situation shown in the bar diagram?
A bar diagram with 15 across the top row and 4 n's and a 2 across the bottom row.
n + 2 = 15
4n + 2 = 15
4(n + 2) = 15
4n – 2 = 15
Answer:
try that it should help you with you question
Step-by-step explanation:
https://www.khanacademy.org/math/cc-2nd-grade-math/x3184e0ec:data/cc-2nd-bar-graphs/v/creating-bar-charts-1
Find the area of the shaded region.
Answer:
i think 132. but I could be wrong.
Step-by-step explanation:
Need help with my final it’s my final grade
A certain map shows two roads. Road A is 1 1/5 miles long but is 1 4/5 inches on the map. What is the unit rate for inches per mile on the map. If road B is 2 miles long, how long is road B on the map ?
The length of the map would be 3 inches.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: length of the road as 6/5 miles and on the map 9/5 inches and thus 1 mile = 1.5 inches and therefore the length of the 2 mile road on the map is 2×1.5=3 inches
Hence, The length of the map would be 3 inches.
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What are my financial goals? What major purchases should I save for?
It depends on your personal financial situation and goals. Generally, it is important to save for major purchases such as a house, car, and vacations, as well as setting aside money for retirement. Additionally, you may want to consider investing in stocks, bonds, or mutual funds to achieve your long-term financial goals.
3.5 x 4 + 11 x 2.2 = 38.2 i used a calculator already but i need to show i how got the answer i dont know if i can give the brain thing
Step-by-step explanation: To solve this equation, you'll need to use the order of operations to determine the correct sequence of steps to follow. The order of operations is a set of rules that specifies the order in which calculations should be performed in a math problem. It helps to prevent ambiguity and ensures that all calculations are performed consistently.Here is the order of operations:Perform any calculations inside parentheses or brackets first.Perform all multiplications and divisions, working from left to right.Perform all additions and subtractions, working from left to right.Using this order, we can solve the equation as follows:3.5 x 4 + 11 x 2.2 = 14 + 11 x 2.2
3.5 x 4 + 11 x 2.2 = 14 + 24.2
3.5 x 4 + 11 x 2.2 = 38.2Therefore, the solution to the equation is 38.2.
Using BODMAS,
B-Bracket
O-Of
D-Division
M-Multiplication
A-Addition
S-Subtraction
Multiplication comes first before addition, so
3.5×4=17
+
11×2.2=24.2
17+24.2=41.2
11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra
The value of expression - a² - 2bc - |c| if a = -2, b = 3, and c = -3, is 11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
Given:
- a² - 2bc - |c|, a = -2, b = 3, and c = -3,
Plug the values of a, b, and c as shown below,
- a² - 2bc - |c| = -(-2)² - 2 × (3) × (-3) - |-3|
- a² - 2bc - |c| = - 4 - 6 × (-3) - 3
- a² - 2bc - |c| = -4 + 18 - 3
- a² - 2bc - |c| = 18 - 7
- a² - 2bc - |c| = 11
Thus, the value of the expression is 11.
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While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?
Answer:
$42
Step-by-step explanation:
100 - 60% * 100 = $40
Since tax is 5%, therefore:
40 + 5% of 40 = $42
Thenks and mark me brainliest :))
Answer:
The answer is $42 but give the other guy brainliest.
Step-by-step explanation:
Kendra and Haley are each saving money. Kendra starts with $100 in his savings
account and adds $5 per week. Haley starts with $10 in her savings account and adds
$20 each week. After how many weeks will Haley have at least the same amount of
money as Kendra?
OX26
Ox>6
O x 216
Ox< 16
That means after 6 weeks will Haley have at least the same amount of
money as Kendra
Kendra and Haley are each saving money. Kendra starts with $100 in his savings account and adds $5 per week. Haley starts with $10 in her savings account and adds $20 each week. After how many weeks will Haley have at least the same amount of money as Kendra?
Kendra and Haley are each saving money.
Kendra starts with $100 in his savings
account and adds $5 per week.
After 6 week 6* 5 = 30
Total amount in After 6 week in Kendra savings
account = $100 + $30
= $130
Haley starts with $10 in her savings account and
adds $20 each week.
After 6 week 6* 20 =120
Total amount in After 6 week in Haley savings
account = $10 + $120
= $130
That means after 6 weeks will Haley have at least the same amount of
money as Kendra
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50 POINTS NEED HELP ASAP!!! What is the arc length of an arc with a central angle of 23π radians in a circle with a radius of 18 cm?
Enter your answer to the nearest whole centimeter in the box.
__cm
Answer:
38 cmStep-by-step explanation:
Arc length is:
s = rθ, where r- radius and θ - central angle in radianss = 18*(2/3)π ≈ 38 cmUse the general formula
L=rØL=2/3π(18)L=2(6)πL=12πL=38cmif the perimeter of the rectangle was known to be 90 in what would the value of x be in order for this to be true
Answer:
x = 30 in
Step-by-step explanation:
length of rectangle is (2/3)x + 10; width is (1/3)x + 5;
perimeter is 90 in; find x:
P = 90 in = 2(2/3)x + 2(10) + 2(1/3)x + 2(5), or
90 in = (6/3)x + 30 in
Solving for x, we get (2)x = 60 in, or x = 30 in
If 2/3x-1=4,then x=?
Answer:
a
Step-by-step explanation:
I don't get this, please help me.
Answer:
Ok
Step-by-step explanation:
Answer:
rate of change is 1
Step-by-step explanation:
She grew one inch per month
How much of a radioactive kind of barium will be left after 39 days if you start with 52,256 grams and the half-life is 13 days?
Answer:
Step-by-step explanation:
Answer:
6,532
Step-by-step explanation:
ixl
Jared’s monthly income is 4500 Jared spend 11%of his income on grocies
Answer:
Jared's groceries = 495
Step-by-step explanation:
We calculate 11% from Jared monthly income:
11% x 4500 = 495
Jared's groceries = 495
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The price of a video game was orginally $60. There was a $15 discount. By what percentage was the price of the video game reduced?
Answer$84:
Step-by-step explanation:
Answer: 25%
Step-by-step explanation:
A coefficient indicates the number of times a term has been a. added b. subtracted c. multiplied d. divided
Answer:
C. Multiplied
Step-by-step explanation:
A coefficient is a quantity placed before a variable to indicate how many times it has been multiplied.
A cylinder has a height of 14 millimeters. Its volume is 17,584 cubic millimeters. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
help me
Answer:
V = πr2h (Volume of a cylinder is the area of a circle times its height). V = 8167.14. π = 3.14. h = 9.
Step-by-step explanation:
Explain how the Quotient of Powers property was used to simplify this expression. 2 to the fifth power, over 8 = 22
The Quotient of Powers was used to simplify this expression is By simplifying 8 to 2^3 to make both powers base two and subtracting the exponents
We have given that,
2 to the fifth power, over 8 = 22
What is the simplified form of expression?The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form or to rewriting the same algebraic expression with no like terms and in a compact manner.
By simplifying 8 to 2^3 to make both powers base two and subtracting the exponents.
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Please Help ASAP!!!!
Will mark branliest if correct.
What does the expression 5n represents The quotient of 5n and a number The product of 5and a number The sum of 5 and a number The difference of 5 and a number
Answer: The product of 5 and a number
Step-by-step explanation:
The expression 5n represents the product of 5 and a number. For example, let the number be 8. Therefore, the value of the expression will be:
= 5n
= 5 × 8
= 40
The sum of 5 and a number will be:
= 5 + n
The difference of 5 and a number will be:
= 5 - n
You are hired to work for a company at age 25 and the company has a retirement plan
where you can put up to 6% of your salary into the plan each month and they will match
that amount. Your starting monthly salary is $6,100, assume for simplicity sake you
never get a raise, and the retirement plan guarantees a 6.28% interest rate over the life of
the plan.
Scenario 1: You decide to start the retirement plan right away and you can afford
to put the full amount (6% of your salary) into the plan each month.
a) What is 6% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
Scenario 2: You decide to start the retirement plan right away, but you can only
afford to put 3% of your salary into the plan each month.
a) What is 3% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
What is the difference in the amount of money you will have at age 62 between scenarios
1 and 2? ________________
What is the difference in the amounts of money you put into retirement between
scenarios 1 and 2? _______________
How much more money did you get from your employer in scenario 1 than 2?
In scenerio 1, the money in the retirement account at 62 years old is $1,267,250.76
In scenerio 2, the money in the retirement account at 62 years old is $ 633,625.38.
How do we calculate future value of an ordinary annuity?Scenerio 1:
a) 6% of salary = Salary * 6% = $6,100 * 6% = $366
b) Total amount the company paid monthly = 6% of salary = Salary * 6% = $6,100 * 6% = $366
c) The money in the retirement account at 62 years old can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity given as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where:
FV = Future value = Money in the retirement account at 62 years old = ?
M = Monthly payment = Contribution you + Contribution by the employer = $366 + $366 = $732
r = Monthly interest rate = Annual interest rate / 12 = 6.28% / 12 = 0.0628 / 12 = 0.0052
n = number of months = Number years * Number of months in a year = (Retirement age – Age when hired) * 12 = (62 - 25) * 12 = 37 * 12 = 444
Substituting all the values into equation (1), we have:
FV = $732 * (((1 + 0.0052)^444 - 1) / 0.0052)
FV = Money in the retirement account at 62 years old = $1,267,250.76
d) Amount of money you put into the account = 6% of salary * number of months = $366 * 444 = $162,504
e) Amount of money your employer put into your account = Amount of money you put into the account = $162,504
f) Amount your account gained in interest over the years = FV – (Amount of money you put into the account + Amount of money your employer put into your account) = $1,267,250.76 – ($162,504 + $162,504) = $942,242.76
Scenario 2:
a) 3% of salary = Salary * 3% = $6,100 * 3% = $183
b) Total amount the company paid monthly = 3% of salary = Salary * 3% = $6,100 * 3% = $183
c) Using equation (1), we have:
M = Monthly payment = Contribution you + Contribution by the employer = $183 + $183 = $366
Substituting all the values into equation (1), we have:
FV = $366 * (((1 + 0.0052)^444 - 1) / 0.0052)
FV = Money in the retirement account at 62 years old = $633,625.38
d) Amount of money you put into the account = 3% of salary * number of months = $183 * 444 = $81,252.00
e) Amount of money your employer put into your account = Amount of money you put into the account = $81,252
f) Amount your account gained in interest over the years = FV – (Amount of money you put into the account + Amount of money your employer put into your account) = $633,625.38 – ($81,252 + $81,252) = $471,121.38
The difference in the amount of money at age 62 between scenarios 1 and 2 = Money in the retirement account at 62 years old in scenarios 1 + Money in the retirement account at 62 years old in scenarios 2 = $1,267,250.76 - $633,625.38 = $633,625.38
Difference in the amounts of money you put into retirement between scenarios 1 and 2 = $366 - $183 = $183
Amount got from your employer in scenario 1 than 2 = $366 - $183 = $183
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Kias mom is having triplets. Each baby could either be male or female. Which outcome would be included in the compound event "more than one female"
Answer:
The outcomes that have more than 1 female are -
MFF, FMF, FFM, FFF
Step-by-step explanation:
Given - Kias mom is having triplets. Each baby could either be male or female.
To find - Which outcome would be included in the compound event "more than one female"
Solution -
The sample space outcomes are -
{MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}
Now,
The outcomes that have more than 1 female are -
MFF, FMF, FFM, FFF
Solve this system of equation by elimination. 2x-5y=8 3x+5y=-13
Answer:
x=-1, y=-2. (-1, -2).
Step-by-step explanation:
2x-5y=8
3x+5y=-13
----------------
5x=-5
x=-5/5
x=-1
2(-1)-5y=8
-2-5y=8
5y=-2-8
5y=-10
y=-10/5
y=-2
Is gram mole equal to mole?
No, one mole is not equal to one gram. For an object, the mole and gram numerical values differ.
1 gram, what is it?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
A mole's relationship to a gram is
The product of the number of Moles of an object to its atomic weight equals one gram.
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