Answer:
A. between 38 and 46 waves
Step-by-step explanation:
Step 1: Given data
Hernando estimated about 42 waves give or take 4 waves. That is, the average is 42 waves and 4 waves define the confidence interval.
Step 2: Calculate the minimum number of waves
We have to subtract 4 waves from the average, that is 42 - 4 = 38 waves
Step 3: Calculate the maximum number of waves
We have to add 4 waves to the average, that is 42 + 4 = 46 waves
simplify 3x+2 for x=4
QUESTION 5
A basketball player scores 126 points in 7 games. At this rate how many points will he score in a 32 game season?
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
What is the surface area of the rectangle pyramid below 13 13 13
Answer:
Step-by-step explanation:
Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:
First, we need to calculate the area of the rectangular base, which is simply length x width:
Area of rectangular base = 13 x 13 = 169 square units
Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.
To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:
a² + b² = c²
where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.
13² + 13² = c²
338 = c²
c ≈ 18.38
Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:
Area of isosceles triangle = (1/2) x base x height
Area of isosceles triangle = (1/2) x 13 x 18.38
Area of isosceles triangle ≈ 119.14 square units
To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:
Area of right triangle = (1/2) x base x height
Area of right triangle = (1/2) x 13 x 18.38
Area of right triangle ≈ 119.14 square units
Since there are two of each type of triangular face, the total surface area of the pyramid is:
Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle
Surface area = 169 + 2 x 119.14 + 2 x 119.14
Surface area = 546.28 square units
Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.
QUICK WILL GIVE BRAINLIEST.
Answer:
-5
Step-by-step explanation:
here u go! hope i got it fast enough!
Answer:-5
Step-by-step explanation:
When there are two minuses It becomes plus
One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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Enter the number that belongs in the green box
Check the picture below.
\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)
Make sure your calculator is in Degree mode.
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? -3x^2 -5x +9 =0
Answer:
The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:
a is the coefficient of the x^2 term, which is -3 in this case.
b is the coefficient of the x term, which is -5 in this case.
c is the constant term, which is 9 in this case.
Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:
a = -3
b = -5
c = 9
Choose the value that makes the statement true.
Answer:
60 . 50% of 60 is 30
Step-by-step explanation:
50% of something = 30 this means that half of something is equal to 30. This can be found by multiplying 30 by 2. The answer would be 60.
This can also be found using algebebra
50% X x = 30
convert 50% to decimal
(50% = 50/100=0.5)
0.5 X x = 30
Multiply both sides by 2 to make the 0.5 equal to one so that x is isolated.
x=60
Maggie spent $16 at the movies. She
purchased one ticket for $5.50 and packs of
candy for $1.75 each. How many packs of
candy did she buy
Answer: She bought 6 packs of candy
Step-by-step explanation:
she spent $16
$16-$5.50=$10.5
$10.5/$1.75=6
6 x $1.75=$10.5
an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
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Write an equivalent expression by distributing the "-−" sign outside the parentheses: 2h-(-2.3k-4) 2h−(−2.3k−4)
Answer:
\(2\cdot h +(2.3\cdot k + 4)\)
Step-by-step explanation:
This expression is solved algebraically:
1) \(2\cdot h -(-2.3\cdot k - 4)\) Given
2) \(2\cdot h +(-1)\cdot [(-1)\cdot (2.3)\cdot k + (-1)\cdot (4)]\) \((-1)\cdot a = -a\)
3) \(2\cdot h + [(-1)\cdot (-1)]\cdot (2.3\cdot k+4)\) Distributive property.
4) \(2\cdot h +(2.3\cdot k + 4)\) \((-a)\cdot (-b) = a\cdot b\)/Modulative property/Result
Kim made two pies that were exactly the same size. the first pie was a cherry pie, which she cut into 6 equal slices. the second pie was a pumpkin pie, which she cut into 12 equal slices. Kim takes her pies to a party. people eat 3 slices of cherry pie and 6 slices of pumpkin pie. did people eat more cherry pie or pumpkin pie?
Answer:
They ate the same amount of each pie
Step-by-step explanation:
The cherry pie was cut into 6 equal slices and 3 of these slices were eaten so that means there is 1/2 of the pie still left.
The pumpkin pie was cut into 12 equal slices and 6 of these slices were eaten so that also means there is 1/2 of the pie left.
Since both pies still have 1/2 left and they were both the same size then that means the same amount of pie was eaten from both the cherry and the pumpkin.
Hope this helps :)
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?
Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.
To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:
A = \(Pe^(^r^t^)\)
where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.
In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:
640 = \(Pe^(^0^.^0^3^5^*^9^)\)
640 = Pe^0.315
P =\(640/e^0^.^3^1^5\)
P = 432.43
Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.
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Pete has an anvil used for metal working, he models the base as two trapeziums the anvil applied of 834 newton's
The pressure using Pete's model based on the information will be 2.79 N/cm³
What is a trapezium?A trapezium (often known as a trapezoid in some parts of the world) is a four-sided figure with at least one set of parallel lines. These two lines are often referred to as the bases, and the other sides as its legs.
Isosceles Trapezium is a type of trapezium has its legs of equal length, and its base angles possessing an equivalent measure..
Pete has an anvil used for metal working, he models the base as two trapeziums the anvil applied of 834 newton's
The pressure using Pete's model based on the information will be:
= 834 / 299.25
= 2.79 N/cm³
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Answer:
1.54
Step-by-step explanation:
Trapezium=
12+24=36
36 x (length) 15 = 540cm^2
Pressure= force/area
832/540 = 1.54N/cm^2
How do i round 3,842,532 to the nearest 1,000?
Answer:
until you only look at the thousands and hundreds place and if the hundred is 5 or more you round the thousands up one
so 3,842,532 rounded the the nearest 1000 is 3,843,000
The minute hand of a clock extends out to the edge of the clock's face, which is a circle of radius 4 inches. What area does the minute hand sweep out between 9:15 and9:35? Round your answer to the nearest hundredth.
To solve the question, we have to make use of the fact that
A minute hand travels 360 degrees in 60 min
From the question given, we are told that the minute hand sweep out between 9:15 and
9:35, thus
There are 20 minutes in between 9:15 and 9:35
Thus
We can get the area using the formula
\(\begin{gathered} Area=\frac{\text{minutes turned}}{60}\times\pi r^2 \\ \text{where} \\ r=4\text{ inches} \end{gathered}\)Area will be
\(\begin{gathered} \text{Area}=\frac{20}{60}\times\pi\times4^2 \\ \text{Area}=\frac{1}{3}\times\pi\times16 \\ \text{Area}=16.755 \end{gathered}\)Thus, the area will be 16.76 in²
Solve for r.
-3r-9=1r+2
Answer:
\( - 3r - 9 = 1r + 2 \\ - 3r - r = 11 \\ - 4r = 11 \\ r = - \frac{11}{4} \)
20 dollars was one quarter of the money spent on the pizza
Answer:
$20.00 was one-quarter of the money spent on pizza.
14m=20.00 What divided by 4 equals 20.00?
The solution is 80. So, the amount of money spent on pizza was $80.00.
By working through this question mentally, you were applying mathematical rules and solving for the variable m.
Step-by-step explanation:
2.
Elena has a
pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit. Which measurement is in ounces,
and which is in grams?
170
Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
What is measurement?
An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit.
We have to find the correct units from grams and ounces for these.
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
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What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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1.Give an example of an irrational square root.
2.Which whole numbers does it fall between? Explain how you found the integers.
3.Which integer is the irrational square root closer to? Explain why.
90 POINTS!!
1) \(\sqrt{65}\)
2) 8 and 9 because \(8=\sqrt{64}\) and \(9=\sqrt{81}\), and 65 is between 64 and 81
3) 8 because 65 is much closer to 64 than it is to 81
I really need help, please. I have question one but I can't figure out the rest.
4.3.4 Practice: Solving Systems of Linear Equations by Substitution
Practice
M/J Grade 8 Pre-Algebra Sem 1
Points Possible:10
Name:
Caine Jones
Date:
Your Assignment
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read. (1 point)
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read. (1 point)
3. Write the system of equations using your answers from questions 1 and 2.
(2 points)
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution. (2 points)
5. Solve the system of equations. Show your work. (2 points)
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read? (2 points)
1. The equation to represent the number of pages Amir has read is y = 35x, where x is the number of days Amir has been reading and y is the number of pages he has read.
2. Let's say that Jesse started reading on Saturday, and Amir started reading on Sunday. If x is the number of days Amir has been reading, then Jesse has been reading for x + 1 days. The equation to represent the number of pages Jesse has read is y = 30(x + 1), where y is the number of pages Jesse has read.
3. The system of equations is:
y = 35x
y = 30(x + 1)
4. We will substitute y in the second equation with y from the first equation. We can do this because both equations represent the number of pages each person has read. So we have:
35x = 30(x + 1)
5. Solving for x:
35x = 30x + 30
5x = 30
x = 6
So it will take Amir 6 days to catch up to Jesse.
To find the number of pages they have read, we can use either of the original equations. If Amir has been reading for 6 days, he has read:
y = 35x = 35(6) = 210 pages
If Jesse has been reading for 7 days (one day more than Amir), he has read:
y = 30(x + 1) = 30(7) = 210 pages
So when Amir catches up to Jesse, they will both have read 210 pages.
6. Amir will catch up to Jesse in 6 days. At that time, they will each have read 210 pages.
Answer: i got number 1 :)
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
a large bottle of juice contains 500 milliliters of juice using this information fill in the double number line
If the medium bottle contains 70% as much juice as the large bottle, then the medium bottle contains 375 milliliter of juice
The quantity of juice contains in the large bottle = 500 milliliter
The percentage of juice contains in medium bottle = 75%
The quantity of juice in the medium bottle = The quantity of juice contains in the large bottle × (The percentage of juice contains in medium bottle /100)
Substitute the values in the equation
The quantity of juice in the medium bottle = 500 × (75/100)
Divide the numbers
= 500 × 0.75
Multiply the numbers
= 375 milliliter
Therefore, the medium bottle contains 375 milliliter of juice
I have answered the question in general, as the given question is incomplete
The complete question is:
A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much juice as the large bottle. How many milliliters of juice are in a medium bottle?
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Dwayne estimated his mass as
6 kilograms. Is his estimate reasonable? Explain your answer.
Answer:
no this is only about 13 pounds
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
it's not reasonable
The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels
since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005,
the figure was 374 parts per million. Find the increase in carbon dioxide levels and the percent of increase.
Round to the nearest tenth of a percent.
Increase carbon dioxide levels:
Percent increase:
196
Submit Question
parts per million
Question Help: Video Message instructor
Answer: The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 383 parts per million.
Step-by-step explanation:
My friend iis bumped and so am I. Question : graph the function described by the equation y = 2x − 2.
the graph of the equation y = 2 x - 2 is being obtained.
We are given the equation:
y = 2 x - 2
We need to make the graph of the equation.
We will first find some points on this equation:
x y
0 -2
1 0
2 2
3 4
4 6
5 8
Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.
Therefore, the graph of the equation y = 2 x - 2 is being obtained.
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A pond in the shape of a right-angled triangle is shown below. Calculate the perimeter of the pond. Give your answer in metres to 1 d.p. 1.46 m 100 73°
The perimeter of the pond is 2.92 meters.
What s a right-angle triangle:
A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.
The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.
The perimeter of a right-angled triangle is the sum of the lengths of its three sides.
Here we have
The Hypotenuse of the triangle is 1.46 m
The angle between hypotenuse and perpendicular height = 73°
From triagonometric ratios,
=> cos A = Perpendicular height/ Hypotenuse.
=> cos (73) = Perpendicular height/1.46
=> Perpendicular height = 1.46 × 0.29 = 0.42 m
As we know from Pythagoras' theorem,
Hypotenuse² = side² + side²
Side = √Hypotenuse² - side²
= √[(1.46)²- (0.42)²] = 1.04
Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04
Hence, perimeter of the pond = 1.46 + 0.42 + 1.04 = 2.92 meters
Therefore,
The perimeter of the pond is 2.92 meters.
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The complete Question is given below
6. What is the fractional equivalent of 3.15?
How to Write 3.15 or 315% as a Fraction?
Decimal Fraction Percentage
3.3 66/20 330%
3.25 65/20 325%
3.2 64/20 320%
3.15 63/20 315%
3.1 62/20 310%
3.70588 63/17 370.588%
3.5 63/18 350%
3.31579 63/19 331.579%
3 63/21 300%