The area of the walkway itself is π[(y + 4)²- (y - 4)²] the radius of the pool is y − 4 and the radius of the full circle formed by the walkway is y + 4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Area of circle = π * radius²
The area of the walkway itself = π(y + 4)² - π(y - 4)² = π[(y + 4)²- (y - 4)²)
The area of the walkway itself is π[(y + 4)²- (y - 4)²] the radius of the pool is y − 4 and the radius of the full circle formed by the walkway is y + 4
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Can somebody help please and thank you!!
Answer:
(3x+12)+X=180
Step-by-step explanation:
Supplementary angles always equal 180
Answer:
C. (3x + 12) + x = 180 is the correct answer.
Step-by-step explanation:
The angle of any straight line is 180*, and since thats a sraight line, then the acute angle (x) plus the obtise angle (3x + 12) must equal 180*.
Hope this helps!
Also x = 42* for reference.
If you take a true-false quiz with 20 questions and totally guess on every
problem, find the probability that you would pass the quiz, that is, getting 60%
right
Answer: 1/4.
Step-by-step explanation: Too pass you need to get a least 13 right.
a
a
1) Jimmy invests $8,540 in a retirement
account with a fixed annual interest rate of
6.03% compounded continuously. What
will the account balance be after 14 years?
A) $16,422.64 B) $19,865.03
C) $18,522.03 D) $17,525.57
Answer:
B) $19,865.03
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amountr = annual interest rate (in decimal form)t = time (in years)Given:
P = $8,540r = 6.03% = 0.0603t = 14 yearsSubstituting given values into the formula and solving for A:
[tex]\large \implies \text{$ \sf 8540e^{0.0603 \times 14}=19865.03215 $}[/tex]
What is the approximate circumference of the circle that has a center at (2, 1) and passes through the point (7, 1)? A 10 units B. 16 units С 31 units D 79 units
Answer:
C. 31 units
Step-by-step explanation:
Circumference of a circle is the distance around the circle and is given by C = pi•d
Your circle with a point and center given has a radius of 5 because from (2,1) to (7,1) is 5 units. Radius 5 means the diameter is 10.
C = pi•10
= 3.14•10
= 31.4 using 3.14 as an approximation for pi.
Circumference is approximately 31 units.
Using the data set below, what is the mean? 4,6,6,7,7,8,8,8,9
A 9
B 7
C 63
Answer: B, 7
Step-by-step explanation: Mean is adding all numbers then dividing so 4 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 9 is 63 and then divide it by the total numbers (9)
63 divided by 9 is 7
7 is the mean, or B
Angles A and B are supplementary. If the measure of A= x-10 and the measure of B = x + 4, find the measure of each angle.
Answer:
10x - 15 + 5x = 180
Step-by-step explanation:
Solve for x
i need help pls asap
Find the sum of the first 8 terms of the following series, to the nearest integer 48,60,75
The series is a geometric series and the sum of the first 8 terms of the series 48, 60, 75 is 952.32
How to determine the sum of the first 8 terms?The series is given as:
48, 60, 75
The above series is a geometric series with the following parameters:
First term, a = 48
Common ratio, r = 1.25
The sum of n terms is:
[tex]S_n = \frac{a(r^n - 1)}{r -1}[/tex]
So, we have:
[tex]S_8 = \frac{48 * (1.25^8 - 1)}{1.25 -1}[/tex]
Evaluate
[tex]S_8 = 952.32[/tex]
Hence, the sum of the first 8 terms of the series is 952.32
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A choir director collected data about the number of members in the choir for the last 20 years. The mean number of choir members is 52.68 with a standard deviation of 2.35. This year. The choir has 46 members. The choir director wants to find and interpret the z-score for 46 choir members.
Complete the statements about the z-score and its interpretation.
The z-score for 46 choir members is about , which means that the number of choir members this year is standard deviations the mean number of choir members. Therefore, there are choir members this year than the average.
Answer:
members is about
✔ –2.843
, which means that the number of choir members this year is
✔ 2.843
standard deviations
✔ below
the mean number of choir members. Therefore, there are
✔ fewer
choir members this year than
Step-by-step explanation:
Answer:
The z-score for 46 choir members is about
✔ –2.843
, which means that the number of choir members this year is
✔ 2.843
standard deviations
✔ below
the mean number of choir members. Therefore, there are
✔ fewer
choir members this year than the average.
Step-by-step explanation:
edge 2023
Please help I have no idea what I'm doing.
Answer:
Okay so your numbers are:
0, 2, 2, 4, 5, 1, 3, 4, 2, 4, 5, 0, 0, 1, 3, 4
You have to put them in order first:
0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5
Now that its all in order you have to pull out the middle number.
Since there are 16 numbers its an even pile so you have to get the 2 middle numbers:
2, 3
Add them both together:
2 + 3 = 5
Then divide by 2:
5 ÷ 2
= 2.5
Step-by-step explanation:
Hope this helps!
From your neighborhood sofite.
Answer: Median is 78
Step-by-step explanation: What you have to do in this stem and leaf plot is for example 6|0 is 60, 9|4 is 94, etc. To find the median height, ignore the stem (the number by itself) and do the median how you usually do it. Sorry if its a bit complicated
Which lines are perpendicular to 3x – y = 10? Select all that apply. A. y = 3x + 5 B. y = –13x + 17 C. x + 3y = 27 D. y – 2 = 13(3x + 36)
The equation of the line which is perpendicular to 3x - y = 10 is y = -(1/3) x + c. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The line that is perpendicular to 3x - y = 10.
The equation can be written as
y = 3x - 10
Then the slope of the line will be
m₁ = 3
Let m₂ be the slope of the second line.
The product of the slope of the perpendicular lines is a negative one.
m₁m₂ = -1
3m₂ = -1
m₂ = -1/3
Then the equation of the perpendicular line will be
y = - (1/3)x + c
3y = -x + c
x + 3y = c
where c is the constant.
Thus, the correct option is B.
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does someone mind helping me with this question? Thank you!
Answer:
114 sq ft
Step-by-step explanation:
Find out the area of the end triangle;
2x3=6
6x0.5 (1/2) = 12
Find the perimeter of the end triangle;
3+3+3=9
Find the area of the rectangle;
9x10=90
Find the total surface area;
2x12=24
24+90=114 sq ft
Answer:
3
Step-by-step explanation:
the surface area is the base
you will know what the base is based on the name
since it's a triangular prism, the base is a triangle
the triangle in the picture is 2 in hight and and 3 on the ground
2 x 3/2
6/2
3
I need a answer quick!
Answer:
{5, -3} {0, -1/3}
Step-by-step explanation:
For the first problem, they all have a GCF of 2, so you divide it all by 2 to get x^2-2x-15=0. Now, we need two factors of -15 that equal -2. Those are -5 and 3. Our new equation is x^2-5x+3x-15. To factor, the GCF of x^2 and 5x is x, so divide by x and you get x(x-5). The GCF of 3x and 15 is 3, so divide by 3 and you get 3(x-5). Now, put the numbers outside of the parenthesis into their own, and you get (x+3)(x-5). To get to 0, for the first one x has to be -3, and for the second, x has to be 5.
For the second, 12x^2 and 4x have a GCF of 4x. Since this we don't have a c value, we just divide and factor like this: 4x(3x+1). Since 4x is outside the parenthesis but we don't have any other terms outside, x=0 because 4(0) is 0. To cancel out 1, our x value inside has to be -1/3, because -1/3*3=-1.
Hope this helped!
I need help, please and thank you!
Answer:
6,251
Step-by-step explanation:
First you have to multiply 65 by 7 you will get 455
Then you have to multiply 144.9 by 40 you will get 5,796
At last add the two values:
5,796+455=6,251
This table gives information about the colors and engine types of motorcycles sold at a showroom in a month.
150 cc 180 cc
Black 18 24
Blue 15 17
Red 26 21
Identify the tables that represent the relative frequencies of this data either by row or by column. Round your answers to the nearest hundredth
The relative frequencies of this data by row is
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
How to determine the relative frequency table?The table of values is given as:
150 cc 180 cc
Black 18 24
Blue 15 17
Red 26 21
Calculate the row total.
150 cc 180 cc Total
Black 18 24 42
Blue 15 17 32
Red 26 21 47
Divide each element by the row total
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
Hence, the relative frequencies of this data by row is
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
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If 8 ounces is 1 cup, how many cups would 72 ounces be?
Answer:
9 cups
Step-by-step explanation:
Because 1 cup is 8 ounces, and we need to find how many cups we need to have 72 ounces.
You have to divide 72/8 and the answer will be 9
Which is NOT a solution
of the inequality
9 - 3x ≥ -36 ?
A. 0
B. -22
C. 50
D. 11
Solve for X and Y in the triangle shown below. Use the special right triangle rule to give exact answers.
Answer:
[tex]x = 13 \\ y = 13 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \cos(45) = \frac{13}{y} = \frac{ \sqrt{2} }{2} \\ y = \frac{26}{ \sqrt{2} } = 13 \sqrt{2} \\ x = 13 \\ because \: angles \: are \: equally \: 45[/tex]
What is the value of the expression shown? (1 point)
4 x (2 + 4)
Group of answer choices
12
24
32
48
Answer:
24
Step-by-step explanation:
first you have to add 2 and 4; 6. then multiply it by 4; 24
Determine the equation of the circle graphed below.
The standard equation of the circle in the graph is (x - 2)² + (y - 5)² = 16
How to determine the standard equation?From the graph, we have the following parameters:
Center (a,b) = (2,5)Radius, r = 4The equation of the circle is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x - 2)² + (y - 5)² = 4²
Evaluate
(x - 2)² + (y - 5)² = 16
Hence, the standard equation of the circle in the graph is (x - 2)² + (y - 5)² = 16
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Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle. How many cameras will be necessary to cover the entire store? . If he places cameras only in the corners of the store, how much area is left uncovered? ft2.
Based on the information given, the area that will be left uncovered will be 450ft².
From the information given, the area of the store roof will be:= 30 × 30 = 900ft²
The area viewed by the camera = 112.5ft²
Therefore, the number of cameras needed will be:
= 900/112.5 = 8
When he places the cameras in the corners of the store, he area covered will be:
= 4 × 112.5 = 450ft²
Therefore, the area left uncovered will be:
= 900 - 450
= 450 ft²
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√14y²-20y+48+√14y²-20y-15=9
√14y²-20y+48-√14y²-20y-15=....?
Answer:
=−40y+33
Step-by-step explanation:
√14y2−20y+48−√14y2−20y−15
Simplifies to:
−40y+33
=−40y+33
Which of the following is an example of a rational function?
f(x) = 270(1.01)x
g of x equals the quantity x squared minus 5x plus 7 end quantity divided by the quantity x minus 3 end quantity
h(x) = |x + 2|
p(x) = log4(x)3
Answer:
(Second Option) = g of x equals the quantity x squared minus 5x plus 7 end quantity divided by the quantity x minus 3 end quantity
Step-by-step explanation:
A rational function contains a polynomial in both the numerator and the denominator. This answer fits that requirement.
Can someone solve this now please
Answer:
The answer is B.
Step-by-step explanation:
f(6) = 146 & g(6) = 731 /// The difference of the two is 585.
A group of 3 people are sharing chocolates. Each person wants 8 chocolates and each box has 6 chocolates. How many boxes do they need?
Answer:
Step-by-step explanation:
4 boxes should do
Can Someone Help Solve This Inequality Asap!!! <3
Answer:
x> 7/3
Step-by-step explanation:
expand:
4x-2 >12-2x
4x>-2x+14
6x>14
x>14/6
x>7/3
Use the drawing tool(s) to form the correct answer on the provided grid.
A team of painters is working on the exterior of a building. One of the painters sets a ladder on the ground 5 feet from the base of the building
and leans it up to touch the wall. Using an angle measurement tool, he finds that the angle the ladder makes with the ground is 73.61 degrees.
Use the grid provided to draw a scale representation of the ladder against the wall, rounding calculations to the nearest foot. Each unit on the
grid represents one foot. i’m
The Length of ladder is 17.73 feet.
What is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
distance of the foot of the ladder = 5 feet
Using trigonometry,
cos [tex]\theta\\[/tex] = B/H
cos 73.61= 5/H
0.282 = 5/H
H = 5/0.282
H = 17.73 feet
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How to find the surface area of a rectangular prism
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
To find the surface area of a rectangular prism, measure the length, width, and height of the prism. Find the area of the top and bottom faces by multiplying the length and width of the prism. Then, calculate the area of the left and right faces by multiplying the width and height.
Fill in the table using this function rule.
y=2 + 5x
X
у
3
0
4.
5
10
[tex]\Huge{\mathcal{\color{black}{Hey \: there!}}}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰Important\: points }}}[/tex]
A relation in which each element of the domain is associated with exactly one element of the codomain.function rule is also known as chain rule (A formula for computing the derivative of the functional composition of two or more functions.)through this we can easily value of another variable by computing value of one variable
[tex]\rule{70mm}{2.9pt}[/tex]
[tex] \underline{ \boxed{ \sf{✰Given\: function }}}[/tex]
⇒y=2+5x
★ if x=3 then y =17
y= 2+5(3)y= 2+15y=17★ if x=4 then y= 22
y=2+5(4)y=2+20y=22★ if x=5 then y=27
y=2+5(5)y=2+25y=27★ if x=10 then y=52
y=2+5(10)y=2+50y=52[tex]\rule{70mm}{2.9pt}[/tex]
Hope it helps!
The box plot below represents the lengths, in inches, of fish a group of friends caught.
What is the interquartile range of the data?
Answer:
3.5Step-by-step explanation:
According to the box plot we have
Q1 = the 25% mark of data = 4.5 and Q3 = the 75% mark of data = 8The IQR is the difference of the two numbers above
IQR = Q3 - Q1 = 8 - 4.5 = 3.5Answer:
IQR = 3.5
Step-by-step explanation:
Explanation of the given box plot:
The closed circles at either end are the minimum and maximum The middle vertical line of the box is the medianThe left side of the box is the first quartileThe right side of the box is the third quartileTherefore, the Five-number summary of the given box plot is:
Minimum = 3First quartile (Q₁) = 4.5Median (Q₂) = 6Third quartile (Q₃) = 8Maximum = 13[tex]\begin{aligned}\textsf{Interquartile range (IQR)} & = \sf Q_3-Q_1\\& = \sf 8 - 4.5\\&= \sf 3.5\end{aligned}[/tex]