Answer:
a, x, y
Step-by-step explanation:
A boy borrowed his boat 531 feet out into the ocean. When he looked back he saw the house on a cliff above the beach where he set out. He estimated the angle of elevation was 26 degrees. Estimate to the nearest foot. the height of the house above the water
Answer:
259 ft.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.
Let h represent the height of the house above water, hence using trigonometric ratios:
tan(26) = h / 531
h = 531 * tan(26)
h = 259 ft.
Help me please!!!!!!!!!!!!!!!!!!
Answer:
16/81
Step-by-step explanation:
(2/3)^4 = (2/3)*(2/3)*(2/3)*(2/3)
= 16/81
The graph represents the piecewise function
The graph represents the piecewise function is \(y=\frac{5 x}{4}+\frac{15}{4}\).
What is graph?
A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Given,
Graph representing a piecewise function:
A piecewise function is a function that is defined by different formulas or functions for each given interval. It’s also in the name: piece. The function is defined by pieces of functions for each part of the domain.
So,
Using the formula:
\(y=\frac{5 x}{4}+\frac{15}{4}\)
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A report states that the mean household income last year for a certain rural county was $46,200 and the median was $54,500. If a histogram were constructed for the incomes of all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric
Answer:
skewed to the left
Step-by-step explanation:
A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.
If the mean is greater than the median, the histogram would be skewed to the right
If the mean is less than the median, the histogram would be skewed to the left.
The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left
use distributive property to write an equivalent expression 3(2x+3y)
Answer:
6x + 9y
Step-by-step explanation:
3 * 2x = 6x
and
3 * 3y = 9y
then combine them with a plus sign
A box of chocolates shaped like a regular hexagon is placed snugly inside of a rectangular box as shown in the figure.If the side length of the hexagon is 4 inches, what are the dimensions of the rectangular box? (30°-60°-90° )
A regular hexagon has 6 congruent sides.
The dimension of the rectangle is 8 inches by \(4\sqrt 3\) inches
How to determine the length of the rectangleStart by calculating the value of x using the following cosine ratio
\(\cos(60) = \frac{x}{4}\)
Make x the subject
\(x = 4 * \cos(60)\)
Evaluate cos(60)
\(x = 4 * 0.5\)
\(x = 2\)
So, the dimension of the rectangle is:
\(Length = 2x + 4\)
\(Width = 2x\sqrt 3\)
This gives
\(Length = 2 * 2 + 4\)
\(Length = 8\)
\(Width = 2 * 2\sqrt 3\)
\(Width = 4\sqrt 3\)
Hence, the dimension of the rectangle is 8 by \(4\sqrt 3\)
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Given a rectangular prism with width and height = 4x and length = 10x-6. The expression for the surface area of the rectangular prism shown in the picture is 2[(4x)(4x)] 4[(10x - 6)(4x)]. Simplify this expression.
3
is the simplify expression
Step-by-step explanation:
can somebody please help (no websites)
Answer:
x y
0 .75
3 3.75
9 9.75
Step-by-step explanation:
You add .75 to whatever number x equals, to get y.
Hope that this helps!
A gymnast receives these scores from five judges:
7.6 8.2. 8.2 8.9
What happens to the mean of the scores when you multiply each data value by 27? By2/3? By 0.2?
Why do you think the mean changes as it does in each situation?
(a.i) When you multiply each data value by 27, the mean of the scores will also be multiplied by 27.
(a.ii) When you multiply each data value by 2/3, the mean of the scores will be reduced by a factor of 2/3.
(a.iii) When you multiply each data value by 0.2, the mean of the scores will be reduced by a factor of 0.2.
(b) The mean changes as it does in each situation because multiplication is a linear operation.
What happens to the mean of the scores?If X is the original mean of the scores, then 27 ( X ) will be the new mean of the scores after multiplication by 27.
If X is the original mean of the scores, then (2/3) ·X will be the new mean of the scores after multiplication by 2/3.
If X is the original mean of the scores, then 0.2 · X will be the new mean of the scores after multiplication by 0.2.
The mean of a set of numbers is just the sum of the numbers divided by the number of elements, so multiplying all the numbers by a constant will simply scale the mean by the same constant.
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let s(n) denote the number of steps required to carry out a certain algorithm with n items being processed. foreach function, describe what happens to s(n) if n is doubled
If the algorithm has a constant number of steps independent of the input size, s(n) remains the same when n is doubled.
Then the effect on the number of steps required, denoted as s(n), when the number of items being processed (n) is doubled will depend on the specific algorithm and its complexity.
Here are a few possibilities:
1. Constant Time Complexity (O(1)): If the algorithm has a constant time complexity, it means that the number of steps required remains the same, regardless of the input size. In this case, doubling n would not have any impact on s(n).
2. Linear Time Complexity (O(n)): If the algorithm has a linear time complexity, it means that the number of steps required is directly proportional to the input size. Doubling n would approximately double the number of steps as well. Thus, s(n) would increase in a linear manner.
3. Quadratic Time Complexity (O(n^2)): If the algorithm has a quadratic time complexity, it means that the number of steps required grows quadratically with the input size. When n is doubled, the number of steps would be approximately four times the original amount. Thus, s(n) would increase significantly.
4. Logarithmic Time Complexity (O(log n)): If the algorithm has logarithmic time complexity, doubling n would not have a substantial impact on the number of steps required. The increase in s(n) would be relatively small compared to the increase in n.
These are just a few examples, and there are various other complexities that algorithms can exhibit.
Each algorithm has its own time complexity, which determines how the number of steps required changes as the input size is doubled.
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HELP ME PLEASE, I NEED TO FINISH THIS MATH PROBLEM!
Anna is working two summer jobs, making $9 per hour washing cars and $12 per hour landscaping. Last week Anna worked a total of 7 hours and earned a total of $78. Determine the number of hours Anna worked washing cars last week and the number of hours she worked landscaping last week.
ANSWER: ANNA WORKED _____ HOURS WASHING CARS AND ______ HOURS LANDSCAPING.
Answer: anna worked 4.33repeating hours washing cars and 3.25 hours landscaping
Step-by-step explanation:
i personally used a guess and check method.
i multiplied 9(hourly wage for washing cars) and 4.33repeating(number of hours) = 39
i multiplied 12(hourly wage landscaping) and 3.25(number of hours) = 39
39 + 39 = $78
a van moves at a constant speed of 4 miles per hour. How long would it take to travel a distance of 100 miles?
Answer:
it would take about 25 hours
4y times -y. this is simple i just forgot the rule for it
Answer:
-4y²
hope it helps.....
The rule for solving the given expression is multiplication and answer is \(-4y^{2}\).
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Given
4y times -y
It is a multiplication rule to use for this problem
= \(4y(-y)\)
= \(-4y^{2}\)
The rule for solving the given expression is multiplication and answer is \(-4y^{2}\).
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Negative integers are integers less than zero is it true or false?
True
False
Answer:
True because the integer is negative so it's less than zero
The measure of a square side is 1.2 feet what is the perimeter of the square inches
Answer: It would be 4.8
Step-by-step explanation: Each side of a square is equal, there's 4 sides in a square, so you multiply 1.2 by 4. That should give you the perimeter.
Write 931 x 10-5 in standard notation.
Answer:
0.000093
Step-by-step explanation:
Answer:
0.000093
Step-by-step explanation:
mabel has a total of 54 decorative beads some are black and some are white. The ratio of the number of black beads to the number of white beads is 7:2. How many more black beads than white beads
The number of black beads is 42, the number of white beads is 12, and there are 30 more black beads than white beads.
Mabel has a total of 54 decorative beads, some are black, and some are white. The ratio of the number of black beads to the number of white beads is 7:2. We have to find how many more black beads than white beads.
Let the total number of black beads be 7x, and that of white beads be 2x, respectively.
So, according to the problem, 7x + 2x = 54⇒ 9x = 54⇒ x = 6
Hence, the total number of black beads = 7x = 7 × 6 = 42
And the total number of white beads = 2x = 2 × 6 = 12
Therefore, the required difference between the number of black beads and white beads is 42 - 12 = 30.
Therefore, there are 30 more black beads than white beads.
: The number of black beads is 42, the number of white beads is 12, and there are 30 more black beads than white beads.
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QUESTION 3 Lisa invests R12 000 into a savings account at an interest rate of 12% per ammond, compounded yearly. She wants to invest her money for 7 years. 3.1 3.1.1 Determine the value of Lisa's investment at the end of 5 years. 3.1.2 After the first 5 years, the interest rate drops to 9,85% per annum compounded yearly. Determine the final amount of Lisa's savings at the end of the 7th year.
Answer:
183661939573002745832863730
Two angles are supplementary.
The measure of the larger angle is 12
less than 3 times the measure of the smaller angle. Find the measure of
the larger angle.
O A) 25.5°
O B) 64.5°
OC) 132°
O D) 144°
Answer:
c
Step-by-step explanation:
192=4x-12
find the value of X, y and z
ans: x=50 y= 50 z=50
The value of x , y and z in the parallel line is 50 degrees.
How to find the angle in parallel line?When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.
Therefore, let's use the angle relationships to find the angle, x, y and z as follows:
Therefore,
x = 360 - 310(sum of angles in a point)
x = 50 degrees
Therefore,
x = y(alternate interior angles)
Alternate interior angles are congruent.
Hence,
y = 50 degrees
Therefore,
x = z(alternate interior angles)
z = 50 degrees.
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Can you guys please help?
Answer: 1) h=5d+1.5
Step-by-step explanation:
d+(-9)=-5
i need to solve for d. thank u
Answer:
4
Step-by-step explanation:
d - 9 = -5
Add 9 to -5, and you will get 4.
4 - 9 = -5
Answer:
d=4
Step-by-step explanation:
d+(-9)=-5
d=-5+9
d= 4
How do you find a prime number multiples?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number can only be divided evenly by 1 and itself.
To find the multiples of a prime number, you can use the following steps:
Start with the prime number itself. This is the first multiple of the prime number.Multiply the prime number by 2. This will give you the second multiple of the prime number.Multiply the prime number by 3. This will give you the third multiple of the prime number.Repeat step 3 for larger and larger integers (4,5,6,7,8....) until you reach the desired number of multiples.For example, if the prime number is 5, the multiples of 5 are 5, 10, 15, 20, 25, and so on.
It's important to note that a prime number only has two divisors: 1 and itself. This means that a multiple of a prime number will never be a prime number.
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Work out 5 3/4 - 2 1/4
Answer:
\(3\frac{1}{2}\)
Step-by-step explanation:
\(5\frac{3}{4} -2\frac{1}{4} =3\frac{2}{4} =3\frac{1}{2}\)
The expected variability or standard deviation of the means from many different random samples is known as what quantity?
This declaration is True.
The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.
What is the standard deviation of the sample means also called?The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.
What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?
Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.
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The given question is incomplete, complete question is:
The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter
Which ordered pairs make the equation true? 3x+2y=−7 Select each correct answer. (3, −8)
(−3, 1)
(−2, −1)
(1, −4)
\(\Large\maltese\underline{\textsf{A. What is Asked}}\)
Which ordered pairs make the equation \(\bf{3x+2y=-7}\) true? Select all that apply. 3 options are given
\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)
We can tell which ordered pairs make equations true by plugging in the coordinates.
\(\mathbb{ORDERED\;PAIR\;NUMBER\;ONE}\)
\(\bf{3(3)+2(-8)=-7}\) | simplify
\(\bf{9-16=-7}\) |simplify
\(\bf{-7\equiv-7}\) | this one checks
\(\mathbb{ORDERED\;PAIR\;NUMBER\;TWO}\)
\(\bf{3(-2)+2(-1)=-7}\) | simplify
\(\bf{-6-2=-7}\) | simplify
\(\bf{-8\neq-7}\) | this one does not check
\(\mathbb{ORDERED\;PAIR\;NUMBER\;THREE}\)
\(\bf{3(1)+2(-4)=-7}\) | simplify
\(\bf{3-8=-7}\) | simplify
\(\bf{-5\ne-7}\) | this one does not check
\(\rule{300}{1.7}\)
\(\bf{Result:}\)
\(\bf{=The\;First\;Option\)
\(\boxed{\bf{aesthetic \not101}}\)
Find the area. Round your answer to the
nearest tenth.
1.
3.
3 m
18 in.
2.
4.
25 ft
(Just the two bottom ones)
a) The area of the first circle is approximately 254.34 square inches
b) The area of the second circle is approximately 70650 square inches.
a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:
r = 18/2 = 9 inches
Now we can calculate the area using the formula:
A = πr² = 3.14 x 9² = 254.34 square inches
Therefore, the area of the first circle is approximately 254.34 square inches.
b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:
25 feet = 25 x 12 inches = 300 inches
Then we can find the radius by dividing by 2:
r = 300/2 = 150 inches
Now we can calculate the area using the formula:
A = πr² = 3.14 x 150² = 70650 square inches
Therefore, the area of the second circle is approximately 70650 square inches.
Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.
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Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the critical value if the hypothesis is to be tested at the 0.05 level of significance?a. 1.28.b. 1.645.
c. 1.96.
d. 2.575.
The critical value if the hypothesis is to be tested at the 0.05 level of significance is 1.96 . So, option C is the correct answer.
To test the hypothesis that Woof Chow has a market share of 25%, we need to conduct a hypothesis test with the null hypothesis that the true proportion of dog owners who use Woof Chow is 0.25, and the alternative hypothesis that the true proportion is not 0.25.
Since the sample size n is large (n = 100), we can use the normal distribution to perform this test. The critical value for a two-tailed test at the 0.05 level of significance is given by:
z_critical = ±1.96
This value corresponds to the 2.5th and 97.5th percentiles of the standard normal distribution. The critical value is ±1.96 because we want to be 95% confident that the true proportion of dog owners who use Woof Chow is within a certain range, and the 95% confidence interval corresponds to two standard deviations from the mean.
To determine whether or not to reject the null hypothesis, we would calculate a test statistic (z-score) based on the sample proportion, and compare it to the critical value. If the test statistic falls outside the critical value, we would reject the null hypothesis and conclude that Woof Chow does not have a market share of 25%.
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Solve thi ytem of linear eqarion. Separate the x-and t-hirt value with a comma
2x=96-14y
9x=40-14y
The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.
Isolating x,
2x = 9x - 14y
2x-9x = 9x-9x -14y
-7x = -14y
-7x/-7 = -14y/-7
x = 2y
Therefore substituting value of x on equation 2,
9(2y) = 40 - 14y
18y = 40 - 14y
18y+14y = 40 -14y+14y
32y = 40
32y/32 = 40/32
y = 5/4
Therefore , x = 10/4 = 5/2
as because x =2y.
An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y
These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as because we can balance it by subtracting the right-hand side expression from the expressions on both sides.
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An amount of #550,000.00 was realised when a principal,x was saved 2% simple interest for 5 years. Find the value of x
Answer:
£500,000.00
Step-by-step explanation:
Principal = x
Saving rate = 2% PA simple
Time = 5 years
Final amount = £550,000
x*(1+ 2*5/100) = 550,000x*(1 + 0.1) = 550.0001.1x = 550,000x= 550,000/1.1x= 500,000Principal amount is £500,000
Answer:
\(\huge \boxed{{x=500,000}}\)
Step-by-step explanation:
\(A=P(1+rt)\)
\(A\) = amount ⇒ 550000
\(P\) = principal amount ⇒ x
\(r\) = rate ⇒ 2%
\(t\) = time ⇒ 5
\(\displaystyle 550000=x(1+\frac{2}{100} (5))\)
Solve for the brackets.
\(\displaystyle 550000=\frac{11}{10}x\)
Multiply both sides of the equation by \(\frac{10}{11}\).
\(500000=x\)
The value of x (principal amount) is 500,000.