Answer:
Step-by-step explanation:
d₁ = 6 inches
r₁ = 3 inches
area = πr₁² = 9π in²
d₂ = 24 inches
r₂ = 12 inches
area = πr₂² = 144π in²
ratio of areas = (9π)/(144π) = 9/144 = 1/16
An account with an initial balance of $4000 earns 6.5% interest for 5 years.
What is the ending balance?
Enter your answer in the box.
The ending balance is $5,480.
Given that,
The initial balance is $4,000.The rate of interest is 6.5%.And, the time period is 5 years.Based on the above information, the calculation is as follows:
\(= \$4,000 \times (1 + 0.065)^5\)
= $5,480
Therefore, the ending balance is $5,480.
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Answer: Hi, the ending balance is 5,300
Step-by-step explanation:
I took the test and got an 100. Hope this helps!
1. Name a minor arc.
2. Name a major arc.
3. Name a point of tangency.
4. Name a radius.
answer the 1,2,3,4 question in image
Answer: What is minor arc and major arc?
Image result for 1. Name a minor arc. 2. Name a major arc. 3. Name a point of tangency. 4. Name a radius.
Every pair of endpoints defines two arcs. An arc whose measure is less than 180 degrees is called a minor arc. An arc whose measure is greater than 180 degrees is called a major arc. An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two.
Step-by-step explanation:
answer this guys i will give brainliest! have a good day !!!
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
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Ellis has a bag of different colors balloons without looking in the bag dyslexia balloon recorded color and put it back in the bag all balloons are equally likely to be chosen he performs the process 100 times in the hundred trials he records the following colors of the balloons from the bag. A. 6/50 B. 6/25 C. 12/100 D. 100/24
The estimated probability of choosing an orange balloon from the bag, based on the given data, is 6/25.
The correct answer is option B
To estimate the probability of choosing an orange balloon from the bag, we can use the provided data:
Number of times an orange balloon was chosen: 24
Total number of trials: 100
The estimated probability of choosing an orange balloon can be calculated by dividing the number of times an orange balloon was chosen by the total number of trials:
Estimated probability = Number of times orange balloon was chosen / Total number of trials
= 24 / 100
= 0.24
To express the probability in simplest form, we need to convert the decimal to a fraction. In this case, we have 0.24, which can be written as a fraction by dividing both the numerator and denominator by 4:
Estimated probability = 0.24 = 24/100 = 6/25
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The question probable may be:
Ellis has a bag of different colors balloons without looking in the bag dyslexia balloon recorded color and put it back in the bag all balloons are equally likely to be chosen he performs the process 100 times in the hundred trials he records the following colors of the balloons from the bag.
no. of times a blue balloon was chosen 54
no. of times yellow balloon was chosen 17
no. of times an orange balloon was chosen 24
no. of times a purple balloon was chosen 5 .
Based on the data given above , what is the estimated probability in simplest form of choosing an orange balloon from the bag?
A. 6/50
B. 6/25
C. 12/100
D. 100/24
2y⁴-18x²y²-48xy²-32y²
Bicycle club went on a six hour ride the graph below shows the relationship between the number of hours spent on the trails and the number of miles traveled which statement interprets information provided by the graph
Solve the system of equations.
2x−9y=14
x=−6y+7
Step-by-step explanation:
\(put \: x \: into \: equation \: 1\)
\(2( - 6y + 7) - 9y = 14\)
\( - 12y + 14 - 9y = 14\)
\( - 21y + 14 = 14\)
\( - 21y = 14 - 14\)
\( - 21y = 0\)
\( \frac{ - 21y}{12} = \frac{0}{21} \)
\(y = 0\)
\(put \: y = 0 \: into \: equation \: 2\)
\(x = 6y + 7\)
\(x = 6(0) + 7\)
\(x = 0 + 7\)
\(x = 7\)
Answer:
y = 0
x = 7
Step-by-step explanation:
2x − 9y = 14 ⇒ ( 1 )
x = − 6y +7 ⇒ ( 2 )
First, let us find the value of y.
For that, replace x with ( - 6y + 7 ).
Let us take equation 1 for that.
2x − 9y = 14
2 ( - 6y + 7 ) - 9y = 14
-12y + 14 - 9y = 14
21y = 14 - 14
21y = 0
Divide both sides by 21.
y = 0
And now let us take equation 2 to find the value of x by replacing y with 0.
2x − 9y = 14
2x - 9 × 0 = 14
2x - 0 = 14
2x = 14
Divide both sides by 2.
x = 7
Liza is one year older than her sister. In four years she will be 3 times as old as she is now. How old is her sister now??
The required age of Liza's sister is given as 6 years.
Given that,
Liza is one year older than her sister. In four years she will be 3 times as old as she is now. How old is her sister now is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the age of Liza be x and of her sister be y,
According to the question,
x = y + 1
After 4 years,
4 + (y + 1) = 3(y + 1)
5 + y = 3y + 1
y = 2
The age of her sister now,
y = 2 + 4 = 6 years.
Thus, the required age of her sister is given as 6 years.
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Jake has a wooden board that measures 8.25 feet long. He cuts the board into pieces that each measure 0.75 foot so he can make signs. If Jake earns $15.95 for each sign he sells, how much money can he earn from the signs he makes with this board?
Step-by-step explanation:
Answer:
Jake cuts the board into pieces that measure .75 feet each. Before cutting the board, it is 8.25 feet long. So, we must divide 8.25/.75 to find out how many pieces of board jake cut.
8.25/.75= 11 pieces
Since he makes $15.95 per sign, and there are 11 signs, we must multiply 15.95 by 11. This is equal to 175.45.
Therefore, jake can earn $175.45
Step-by-step explanation:
Can you give me brainliest?
a) Calculate the length of Road C in the image below. Show your work.
b) If a student rides her bike at an average speed of 19.5 km/h, how long will it take her to travel to school using Road C and Road B? Show your work.
c) How much quicker will it be for this student to travel to school along Road A? Show your work.
Therefore , the solution of the given problem of triangle comes out to be For road A :Time taken = 0.82 hours .
What does a triangle actually mean?Given that they consist of four sides or more, triangles are categorized as polygons. It has a straightforward geometric shape. The letters of the ABC form a triangle with a right angle when put together. Euclidean geometry generates a single rectangle or squares when the borders must not match. Due to their three sides and three corners, triangles are polygons. A triangle's corners are formed by the point where its three sides meet. A triangle has angles that total 180 degrees.
Here,
Given :
16 .01 km road A and 10 km road B
To find the road C length :
=> (16.01)² = 10² + x²
=> 256.3201 - 100 = x²
=> √156.3201 = x
=> x =12.502 km
b )
For road C :
Time taken = 12.502/19.5 =0.64 hours
For road B
Time taken = 10/19.5 =0.51 hours
c) For road A :
Time taken = 0.82 hours
Therefore , the solution of the given problem of triangle comes out to be For road A :Time taken = 0.82 hours .
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Which two sentences contain incorrect punctuation?
One question that society finds problematic to answer is what energy sources will people utilize when the earth is drained of natural resources such as coal or oil.
Upon discovering the errors in the film —the abusive remarks—the movie release was immediately postponed and was sent back to the editors for correction.
Maintaining hygiene is a good way to keep illnesses at bay; this can be done by washing hands, brushing teeth, and bathing regularly.
The American writer and philosopher, Henry David Thoreau comments that by simplifying one's life, "the laws of the universe will appear less complex."
The adrenaline produced in our body during a confrontation leads to two possible responses by the person run away to safety, or stand one's ground and fight.
Reset
Answer:
D). The American writer and philosopher, Henry David Thoreau comments that by simplifying one's life, "the laws of the universe will appear less complex."
E). The adrenaline produced in our body during a confrontation leads to two possible responses by the person run away to safety, or stand one's ground and fight.
Explanation:
Punctuation marks are elucidated as the signs and symbols that function to enhance the readability of the sentences and indicate the grammatical construction of the readers. It assists them in understanding the meaning of the sentence more clearly and comprehensively.
In the given sentences, the last two sentence are incorrectly punctuated as they both wrongly employ comma(,) in it. Option D inappropriately punctuates comma(,) in the complex sentence while the last option falsely puts comma before conjunction 'or.' Thus, options D and E are the correct answers.
I have another riddle.
If you buy one rabbit and a rabbit can produce 5 per year, then how many rabbits will you have in 9 years?
Total number of rabbits produced in 9 years will be 45.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a rabbit can produce 5 new rabbits per year
Total number of rabbits produced in 9 years will be -
n = 5y = 5 x 9 = 45 new rabbits
Therefore, total number of rabbits produced in 9 years will be 45.
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Find and of the function = − −( − ).
Answer:
Thats not possible
Step-by-step explanation:
There is no:
numbersvariablesonly negative signsThe length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?
The Answer:
Width = 6
Step-by-step explanation:
Let width be w
(3w + 8) x w = 156
3 \(w^{2}\) x 8n - 156 = 0
(w + 8 x 6) (w-6) = 0
w = 6
100 suppre 31
37. A company has two plants to manufacture scooters. Plant I manufactures 80% of scooters and
plant II manufactures 20%. At plant I, 85 out of 100 scooters are rated standard quality. At plant
II, only 65 out of 100 scooters are rated standard quality. What is the probability that scooter
came from plant II if it is known that the scooter is of standard quality.
Answer:
your question is being denied due to lack of importance
Step-by-step explanation:
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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Which of these strategies would eliminate a variable in the system of equations?
10x + 4y = -2
5x - 2y = 2
HELP! SAS SSA ASA need in right places please
PLEASE HELP!!
The equation of a circle is (x+10)2+(y−4)2=100.
What is the center and radius of the circle?
Responses
center: (10, −4); radius: 10,000
center: , begin ordered pair 10 comma negative 4 end ordered pair, ; radius: 10,000
center: (−10, 4); radius: 10,000
center: , begin ordered pair negative 10 comma 4 end ordered pair, ; radius: 10,000
center: (10, −4); radius: 10
center: , begin ordered pair 10 comma negative 4 end ordered pair, ; radius: 10
center: (−10, 4); radius: 10
The center of the circle is (-10,4) and the radius is 10.
What is a circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the outer trace.
All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The equation of the circle is,
( x - h )² + ( y - k )² = r²
(x+10)² + (y−4)² = 100
(x+10)² + (y−4)² = 10²
Compare the equations and find the center and radius,
Center = ( h,k) = ( -10,4)
Radius = r = 10
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Cristiano has made 24 goals so far this season. Lionel has made 18 goals so far. What percent of Lionel's goals is Cristiano's goals?
Answer:
Cristiano's goals are 133.33% of Lionel's goals.
Step-by-step explanation:
What percent of Lionel's goals is Cristiano's goals?
To find this, we multiply Cristiano's goals(24) by 100% and divide by the number of Lionel's goals(18). So
24*100%/18 = 133.33
Cristiano's goals are 133.33% of Lionel's goals.
Let g be the piecewise defined function shown.
g(x)=
x + 4, −5 ≤ x ≤ −1
2 − x, −1 < x ≤ 5
Evaluate g at different values in its domain.
g(−4) =
g(−2) =
g(0) =
g(3) =
g(4) =
Answer:
Yup 0,2,2,-1,-2
Step-by-step explanation:
Edg 2020
The value of g(-4) for the given function g(x)=x+4 is 0.
What are piecewise functions?Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.
For −5 ≤ x ≤ −1
Lets take all range of values of x
g(-5) = x + 4 = -5 + 4 = -1
g(-4) = x + 4 = -4 + 4 = 0
g(-3) = x + 4 = -3 + 4 = 1
g(-2) = x + 4 = -2 + 4 = 2
g(-1) = x + 4 = -1 + 4 = 3
For −1 < x ≤ 5
Lets take all range of values of x
g(0) = 2 - x = 2 - 0 = 2
g(1) = 2 - x= 2 - 1 = 1
g(2) = 2 - x= 2 - 2 = 0
g(3) = 2 - x= 2 - 3 = -1
g(4) = 2 - x= 2 - 4 = -2
g(5) = 2 - x= 2 - 5 = -3
Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.
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Find the value of 5w-2 given that −7w-7=7 . Simplify your answer as much as possible.
Answer: The value of 5w - 2 is -12
Step-by-step explanation:
First, solve for w in the equation of -7w-7=7
Add 7 to both sides to isolate -7w
You then get: -7w=14
Divide both sides by -7 to isolate w
You then get: w=-2
Then substitute -2 for w into the equation 5w-2
You then get: 5(-2)-2
Simplify and you get the final answer of -10-2=-12
Answer: The answer to the equation 5w-2 is -12, since w is -2
Step-by-step explanation:
We are given this equation:
−7w-7=7
==> −7w-7=7 ( add 7 to both sides)
==> -7w = 14 ( divide both sides by -7)
==> w = -2
Now that we know the value for w, we can solve the former equation;
==> 5w-2
=> 5(-2) -2 (distributive property)
=> -10 -2
=> -12
The answer to the equation 5w-2 is -12, since w is -2
Hope this helped! Have a good day ;)
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
Hurry help I need help with this question
Answer:
The answer is B
Step-by-step explanation:
PLEASE HELP SOME ONE ILL GIVE U 30 POINTS
Which expression is equivalent to 1/49 Select all that apply.
Answer:
7^-1 * 7^-1
7^-5 * 7^3
7^7 * 7^-9
so the first three are correct!
Step-by-step explanation:
the following function attempts to calculate the th triangular number (). the th triangular number is defined by the formula: in other words, triangular numbers are just like factorial numbers, but with addition instead of multiplication. below we've attempted to write a recursive formula that will calculate the th triangular number.
The following function attempts to calculate the th triangular number. It will cause a RuntimeError due to infinite recursion.
The function attempts to calculate the nth triangular number by adding n to the result of tri(n-1), which in turn adds n-1 to the result of tri(n-2), and so on. This process will continue indefinitely unless a stopping condition is reached. However, the function does not have a stopping condition, so it will continue to call itself indefinitely, leading to a runtime error due to infinite recursion.
To fix this, the function should have a base case that stops the recursion when n is equal to 1 or 0, and returns 1 or 0, respectively. For example:
def tri(n):
if n == 0:
return 0
elif n == 1:
return 1
else:
return n + tri(n-1)
This will correctly calculate the nth triangular number using a recursive formula.
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please can someonehelp me with this please.
here is the picture
The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.
What is Domain of a function?Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.
Given is the function as -
f(x) = (x - 3)²
{ 1 } -
The domain of the function f(x) = (x - 3)².
The function has no undefined points. So, we can write the domain as -
Domain → (- ∞ , + ∞)
{ 2 } -
The inverse of the function f(x) = (x - 3)².
We have -
f(x) = (x - 3)²
y = (x - 3)²
x = (y - 3)²
y - 3 = √x
y = 3 + √x
Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.
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The diagram below shows a sketch of the graph of y=f(x). The graph crosses the y-axis at the point (0,-2), and the x-axis at the point (8,0).
On a piece of paper sketch the graph of y= -4 f(x+3).
Record below the coordinates of the point where the graph crosses the x-axis and the coordinate of the point where x= -3.
x = ______
y = ______
and
x = ______
y = ______
The coordinates of the intersection with the x-axis are
(8,0), and the coordinates of the point where x = -3, (-3 0).
What are the coordinates of the axis?
A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.
We have,
The graph shows the sketch of y = f(x).
The graph crosses the y-axis at the point (0,-2), and the x-axis at the point (8,0).
The coordinates of the intersection with the x-axis are:
x = 8
y = 0
The coordinates of the point where x = -3,
y = 0.
Hence, the coordinates of the intersection with the x-axis are
(8,0), and the coordinates of the point where x = -3, (-3 0).
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find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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