From the question;
The number of Americans who flew to Europe in 2007 = 13.3 million
= 13, 300, 000
This numbers decreased by 18.8% in 2011
Therefore
Decrease = 18.8% times 13,300,000
This gives
\(\begin{gathered} \frac{18.8}{100}\times13,300,000 \\ =0.188\times13,300,000 \\ =2,500,400 \end{gathered}\)Therefore, the number decreased by 2,500,400 in 2011
Hence the number of Americans that flew to Europe in 2011
= 13,300,000 - 2,500,400
=10,799,600
Therefore, the number of Americans that flew to Europe in 2011 is 10,799,600
The area of'a rectangular piece of cardboard is 108 em and its length is 18em. Find the width of the cardboard
Answer:
I think you meant cm, not em. So the answer is 6 cm.
Step-by-step explanation:
18cm x 6cm = 108 cm
The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in operation, the wiper sweeps through 135°. Find the area swept by the blade. (Round your answer to the nearest whole number.)
Answer:
Area swept by the blade = 448\(in^{2}\)
Step-by-step explanation:
The arc the wiper wipes is for 135 degrees angle.
So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.
Then subtract the area of sector with 14 inches from area of sector with radius as 24 inches.
So, area of sector with r=24 in =\(\frac{135}{360} *\pi *24^{2}\)
Simplify it,
=216\(\pi\)
Now, let's find area of sector with radius 14 inches
Area of sector with r=14 in = \(\frac{135}{360} *\pi *14^{2}\)
Simplify it
=73.5\(\pi\)
So, area swept by the blade = 216\(\pi\) -73.5\(\pi\)
Simplify it and use pi as 3.14.....
Area of swept =678.584 - 230.907
=447.6769
Round to nearest whole number
So, area swept by the blade = 448\(in^{2}\)
At the neighborhood block party, Joel served 1/6 of a gallon of hot chocolate and 1/12 of a
gallon of apple cider. How much more hot chocolate than apple cider did Joel serve?
Write your answer as a fraction or as a whole or mixed number.
gallons
Answer:
1/12 gallons
Step-by-step explanation:
We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.
Step 1: Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2
(1/6) * (2/2) = 2/12
Step 2: Now we can subtract 1/12 from 2/12:
2/12 - 1/12 = 1/12
Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
What happens during a controlled experiment?
No observations are made.
A factor called a prediction is changed.
Many variables are changed at once.
The results of changing the independent variable are observed
Answer:
Step-by-step explanation:
The answer is that 1 variable is allowed to change. The others are held at a constant.
An example would be the growth of a poinsettia. These Christmas plants are very touchy. They respond badly to too much water or not enough water. So you keep the amount of dirt, the amount of sunlight, the amount of support that each plant receives as a constant.
The amount of water is what you change in one of the plants. The one plant (or a few) will measure the growth of the plant.
So the last answer is the one you want.
can anyone help me with this please???
Answer:
Happy Friday
Step-by-step explanation:
Answer:
I NEED BRAINLIST URGENTLY
Your answer is y= 4 sin 7 square
Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.
Hello,
I have paid the $29.00 monthly subscription for my son (jalen); I have signed up only to pay the monthly payment. Sorry to say, he does not live with me. I earlier sent you an email explaining the same with no reply from you. So how does he proceed using his information to freely access your program?
Looking forward to hearing from you shortly.
THANKS,
climacus
Answer:
Step-by-step explanation:
x - y < 7 graph the inequality
Answer:
y = 7 x=-7
Step-by-step explanation:
I will mark you brainiest!
What is the length of LJ?
A) 23.0
B) 17.0
C) 4.7
D) 3.5
The the length of LJ is approximately 3.5.OptionD) is correct.
How to find the length of LJ?To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.
Let's denote the length of JL as x. Then, we can set up the following proportion:
sin(23°) / LJ = sin(89°) / KL
where KL is given as 9.
We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):
0.3919 / LJ = 0.0175 / 9
Multiplying both sides by x and then dividing both sides by 0.0175, we get:
LJ = 0.3919*9/ 0.0175
x ≈ 3.5
Therefore, the length of LJ is approximately 3.5.OptionD) is correct.
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What is 4116 written as decimal number?
Hey there!
\(Answer:\boxed{4116}\)
\(Explanation:\)
\(4416\) as a decimal.
\(4116\) as a decimal is 4116. It is already in its decimal form. So there are no changes.
\(\boxed{4116}\text{ is your answer.}\)
Hope this helps!
\(\text{-TestedHyperr}\)
Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
*Graphing linear equations using a table*
Graph y = x + 3
Answer:
Hi... Do this for solve
Consider the equation below.
Determine which equation has the same solutions as the given equation.
Answer:
B, (x-5) square =21
Step-by-step explanation:
B, (x-5)square =21
Can someone help me what is
Answer:
look at the photo..........
Answer:
x = 2
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other.
First, multiply 4 to both sides of the equation:
4 * (3(x + 2))/4 = 4 * (2x - 1)
3(x + 2) = 4(2x - 1)
Simplify. Distribute the outside term to all terms within the parenthesis:
3(x + 2) = (3 * x) + (3 * 2) = 3x + 6
4(2x - 1) = (4 * 2x) + (4 * -1) = 8x - 4
3x + 6 = 8x - 4
Isolate the variable, x. Subtract 8x and 6 from both sides of the equation:
3x (-8x) + 6 (-6) = 8x (-8x) - 4 (-6)
3x - 8x = -4 - 6
-5x = -10
Divide -5 from both sides of the equation to fully isolate x:
(-5x)/-5 = (-10)/-5
x = -10/-5 = 2
x = 2 is your answer.
~
How do u perform this equation
Answer:
-1/40
Step-by-step explanation:
multiply the 3/5 by 8 to get 24/40; then multiply 5/8 by 5 to get 25/40 so you can have the same denominator and then you subtract both of the numerators 24-25=-1 so you get your answer -1/40
Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Compare your response to the sample response. Which of these did your response include? Check all of the boxes that apply.
The real number is on the number line, but the complex number is in the complex plane.
Both are distances.
Both are positive values.
The distance formula or the Pythagorean theorem is used to calculate the absolute value of a complex number.
The responses include:
The real number is on the number line, but the complex number is in the complex plane.Both are distances.Both are positive values.How to illustrate the information?In mathematics, a real number simply means a value of a continuous quantity which can represent a distance along a line.
In this case, real numbers are the numbers that include both rational and irrational numbers. Here, Rmrational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and the irrational numbers such as √3, π(22/7), etc., are all real numbers.
In conclusion, the correct options are A, B, and C.
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Necesito ayuda con esto
x= 1 , 5/2
I hope I helped you^_^
The boxed definition of absolute value states that |a|=-a if a is a negative number. Explain why |a| is always nonnegative, even though |a|=-a for negative values of a.
Final answer:
Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.
Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.
Step-by-step explanation:
Step 1
It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.
Step 2
This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.
A girl who is flying a kite lets out 200 feet of string which makes an angle of 50° with the ground. Assuming that the string is stretched out, find, to the nearest foot, how high the kite is above ground.
The height of the kite from the ground when the angle is 50 degrees is 232 feet.
What is trigonometry?The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.
Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.
To find the height of the kite above the ground we use the trigonometric identity of tangent.
Thus, we have:
tan(50°) = h/200
Now, using cross multiplication:
h = 200 tan(50°) ≈ 232 feet
Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.
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Leslie placed this ad in Collector Car Monthly. 1957 Chevrolet Nomad station wagon. Tropical Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted, rebuilt transmission, restored two-tone interior. Mint! Moving, sacrifice, $52,900. 555-4231
Complete Question:
Leslie placed this ad in Collector Car Monthly.
1957 Chevrolet Nomad station wagon. Tropical
Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted,
rebuilt transmission, restored two-tone interior.
Mint! Moving, sacrifice, $52,900. 555-4231
(a) If the publication charges $48 for the first three lines and $5 for each extra line, how much will this ad cost Leslie?
(b) b. Ruth buys the car for 8% less than the advertised price. How much does she pay?
(c) Ruth must pay her state 6% sales tax on the sale. How much must she pay in sales tax?
Answer:
\(Total = \$53\)
\(Ruth = \$48668\)
\(Sales\ Tax = \$2920.08\)
Step-by-step explanation:
Given
\(Ad = 4\ lines\)
\(Charges: \$48\) --- First 3 lines
\(Additional: \$5\) -- Extra lines
Solving (a) : Determine the total charge
The ad has 4 lines. This means that 3 of the 4 lines will be charged at $48 (in total) while the extra line will be charged at $5 per line
So, the total charge is calculated as:
\(Total = 3\ lines + 1\ line\)
\(Total = \$48 + 1 * \$5\)
\(Total = \$48 + \$5\)
\(Total = \$53\)
Solving (b): How much does Ruth pay?
From the ads, the price of the car is:
\(Price = \$52,900\)
And Ruth pays 8% less.
This means that she pays 92% (i.e. 100% - 8% = 92%)
So, the calculation is:
\(Ruth = 92\% * Price\)
\(Ruth = 92\% * \$52900\)
\(Ruth = \$48668\)
Solving (c): The sales tax
\(Sales\ Tax = Sales\ Tax\% * Amount\ Paid\)
\(Sales\ Tax = 6\% * \$48668\)
\(Sales\ Tax = \$2920.08\)
+
120
A. Right
B. Obtuse
C. Acute
D. Equilateral
E. Scalene
OF. Isosceles
Answer:
See below
Step-by-step explanation:
Isosceles because two sides are same length
and
Obtuse because there is an interior angle greater than 90 °
You have $15 to invest in your business. How many lemons (the lemons cost 0.37 cents) can you buy? You may use any method you want to find this but please describe what you are doing and show your work.
You can afford to purchase 4054 lemons with $15 at the rate of 0.37 cents per lemon
How to determine the amount of lemons to purchase?From the question, we have the following parameters that can be used in our solution:
Amount invested = $15
Unit rate of lemon = 0.37 cent
Convert cent to dollars ($)
So, we have
Unit rate of lemon = $0.0037
From the above parameter, we can calculate the number of lemon using the following formula of unit rate
The unit rate is calculated as
Unit rate = Amount invested/Number of lemons
This gives
Number of lemons = Amount invested/Unit rate
Substitute the known values in the above equation
So, we have the following equation
Number of lemons = 15/0.0037
Evaluate the quotient
Number of lemons = 4054
Hence, the number of lemons you can buy is 4054
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What numerical coefficient of b on the right side of the equation makes the expressions equivalent? -3(-5b + 6) b-2
Answer:
-5
Step-by-step explanation:
coefficient of b is -5
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
Find the volume of the cylinder to the nearest cubic foot. Use a calculator. A. 236 ft3 B. 942 ft3 C. 251 ft3 D. 75 ft3
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)
Answer:
236 ft^3
Step-by-step explanation:
Base radius = 5 ft
Height = 3 ft
Volume = πr^2h
= π × 5^2 × 3
= 75π
= 235.61944901923 feet^3
Nearest Cubic Foot = 236 ft^3
Nearest Cubic Foot:
Hence Answer is:
236 ft^3
Hope this helps!
Leo is a barber.
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 25 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Leo charges his customers that day.
For each ordered pair, determine whether it is a solution to x = -9.
for (3, -9)
\(3\ne-9\)answer: No
for ( -5, -7)
\(-5\ne-9\)answer: No
for (4, 1)
\(4\ne-9\)answer: No
prove that, given a nonnegative integer , there is a unique nonnegative integer such that m^2 < sqrt n < (m 1)^2
It is proved that m = √n.
To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:
m^2 ≤ n < (m + 1)^2.
So, after taking the square root, it will be:
m ≤ √n < m + 1
From that we can see m = √n is the unique m.
What is a nonnegative integer?A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.
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Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.