7cm
10cm
1 Define the perimeter of any closed two-dimensional shape.
2 Hence, calculate the perimeter of the figure above.
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Related Questions
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2014, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 579.
Answers
The linear regression equation that represents this data set is equal to y = 120.8x + 2,114.
How to write the linear regression equation?First of all, we would determine the slope of the given data set by using this formula:
[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]
For the sample mean (years), we have:
[tex]\bar x = \frac{0\;+\;1+\;2\;+\;3\;+4}{5} \\\\\bar x =\frac{15}{4} \\\\\bar x =3.75[/tex]
For the sample mean (cases), we have:
[tex]\bar y = \frac{904\;+\;900+\;833\;+\;837\;+754}{5} \\\\\bar y =\frac{4,228}{4} \\\\\bar y =1057[/tex]
The sums are given by:
∑(x - |x|) = (0 - 3.75) + (1 - 3.75) + (2 - 3.75) + (3 - 3.75) + (4 - 3.75)
∑(x - |x|) = - 3.75 - 2.75 - 1.75 - 0.75) + 0.25
∑(x - |x|) = -8.75.
∑(x - |x|)² = (-8.75)² = 76.5625.
∑(y - |y|) = (904 - 1057) + (900 - 1057) + (833 - 1057) + (837 - 1057) + (754 - 1057)
∑(y - |y|) = -153 - 157 - 224 - 220 - 303
∑(y - |y|) = -1,057.
∑(x - |x|)(y - |y|) = -8.75 × -1057
∑(x - |x|)(y - |y|) = 9,248.75.
Now, we can determine the slope:
Slope = 9,248.75/76.5625
Slope = 120.8.
Therefore, the equation is given by:
y = 120.8x + a
Next, we would find the value of a:
1057 = 120.8(-8.75) + a
a = 1057 + 1,057
a = 2,114.
Hence, the linear regression model is given by:
y = 120.8x + 2,114.
Since the new cases would reach 579, the calendar year would be calculated as follows:
579 = 120.8x + 2,114
120.8x = 579 - 2,114
120.8x = -1,535
x = -1,535/120.8
x = -12.71.
Year = 2014 + 12.71
Year = 2026.71 ≈ 2027.
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Factor fully. Show all work.
a) 27m²−3
b) 10x³+5x²−50xy−25y
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Answer:
A=
[tex]3(3m + 1)(3m - 1)[/tex]
Step-by-step explanation:
[tex] {27m}^{2} - 3[/tex]
Factorise
[tex]3( {9m}^{2} - 1)[/tex]
Rewrite it
[tex]3(( {3m)}^{2} - {1}^{2} )[/tex]
[tex]3(3m + 1)(3m - 1)[/tex]
which represents possible choices for the third missing side of the triangles given the other two sides?
1st side 30ft
2nd side 21ft
answer choices
a 9ft<51ft
b 9ft
c 30ft
d 0ft
Answers
Based on the triangle inequality theorem, the possible length of the third side of the triangle is: 9 < x < 51
What is the Triangle Inequality Theorem?The triangle inequality theorem states if a and b are two sides of a triangle, the possible length of the third side would be: a + b < x < a - b.
Two given sides of the triangle are 30 ft and 21 ft. The possible length of the third side of the triangle would be:
30 - 21 < x < 30 + 21
9 < x < 51
Possible length of the third side would range between: 9 < x < 51
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3. The Wang family has a take-home income of $45 000 per year. If they budget 22% for rent, how much rent would they budget for the year? How much for each month?
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Answer:
Step-by-step explanation:
45000 x %22 = 9900 per year
9900/12=825 per month
Mrs. ericson is building a new balcony. what is the area of the balcony? (6 ft, 6 ft, 6 ft. 2 ft, 2 ft , 2 ft.)
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Answer:
2ft 2ft
Step-by-step explanation:
2ft,2ft,2ft,2ft
Help me find the angle H equals in the attachment. I am running out of time pls help quick!!!
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Answer:
Angle H is 133
Step-by-step explanation:
(h-48)+95=180
solve it and you will get 133
Answer:
133°
Step-by-step explanation:
from the diagram,
(h- 48)° +95°= 180° ( angles on a straight line)
h-48+95 = 180°
h+47 = 180
collect like terms
h = 180-47= 133°
HELP PLEASE. PLEASE DRAW AN EXAMPLE OF ANSWER 100 points !!!
Answers
As all sides are equal it's equitorual hexagon
An inscribed hexagon is best fit for construction
Steps
Draw a circle of radius rPut compass and take radius measure.Draw one. mark then draw 6 marks on circle one after other of measure r Connect 6 marks .Done ! We created
you can erase the circle later on
Answer:
Attachment 1
Take a compass and adjust it so that it is the width of line r.
Place the point of the compass on the left point of line r and draw a circle going through the right point of line r with radius r.
Attachment 2
Take a ruler, place it so it is against line r and extend the line r across the width of the circle (this is the diameter of the circle).
Attachment 3
Place the point of the compass on the right point of line r and draw a circle (blue circle).
Place the point of the compass on the left of the diameter and draw a circle (orange circle)
Attachment 4
The points of intersection of the 3 circles are the vertices of the hexagon.
Attachment 5
Join the points of intersection with line segments - this is your hexagon with sides equal to r.
(If necessary, erase the circles to show the hexagon only.)
Joe paid 14.00 for a board game this is 70 of the original price what was the original price
Answers
Answer:4.2
Step-by-step explanation:
14 times 70% subtracted from 4.2
The original price or cost price of a board game is 20.
What is cost price?The cost price is the price at which "goods are bought by merchant or retailer".
According to the question,
Joe paid 14.00 for a board game which is 70% of the original price or cost price.
In order to find cost price or original price. Let 'x' be the original price or cost price
70% = 14
100% = x
x = [tex]\frac{1400}{70}[/tex] [cross multiplication]
=20
Hence, the original price or cost price of a board game is 20.
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Can someone please help me out with this question?
Answers
Answer:
Dependent
Step-by-step explanation:
Since the marble is not returned, the result of the second probability is dependent upon which marble was 1st drawn.
Alexandra volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 473 people went to The Youth Wing, 300 people went to Social Issues, and 402 went to Fiction and Literature.
On Sunday, the library had 1500 total visitors. Based on what Alexandra had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
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Answer:
pls that's the answer to the question. thanks.
3(2x + 5)= 4 (c-3) I know how to solve it but can someone explain it.
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Answer:
3x×2c+1
Step-by-step explanation:
6x+15 =4c-12
[tex] \frac{6x + 15}{4c - 12} = \frac{4c - 12}{4c - 12} [/tex]
[tex] \frac{6x + 15}{4c - 12} [/tex]
[tex] \frac{3x + 5}{2c - 4} [/tex]
[tex]3x + 5 \div 2c - 4[/tex]
[tex]3x \times 2c + 5 - 4[/tex]
[tex]3x \times 2c + 1[/tex]
If m(x) = x2 3 and n(x) = 5x 9, which expression is equivalent to (mn)(x)?
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These are functions inside another function. The resulting composite function is given as (5x+9)^2 + 3
Composite functionsThese are functions inside another function. Given the following functions
m(x) = x^2 +3
n(x) = 5x +9
We are to solve for the function m(n(x))
m(n(x)) = m(5x+9)
Substitute 5x +9 into m(x) to have:
m(n(x)) = (5x+9)^2 + 3
Hence the resulting composite function is given as (5x+9)^2 + 3
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Plsss HELP ASAP WILL GIVE POINTS AND BRAILEST I WILL DO IT ASAP
Jayden wants to fence a rectangular area for his garden. The length of the garden should be at least 4 ft shorter than the width. And the distance around should be no more than 32 ft. Let x = length Let y = width Write two inequalities that model this problem and enter them below.
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The two inequalities will be L>W-4 and (L x W) ≤ 32.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
It is given that:-
The length of the garden should be at least 4 ft shorter than the width
The distance around should be no more than 32 ft
The two inequalities will be as follows:-
a)The length of the garden should be at least 4 ft shorter than the width
L>W-4
b)The distance around should be no more than 32 ft
(L x W) ≤ 32.
Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.
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41
The table shows a bacterial population y after a days.
Day, x
0 1
2
3
4
Population, y 5 35 245 1715 12,005
a. Write an exponential function that represents the population.
y=|lx|
b. Find the population after 5 days.
There are
bacteria after 5 days.
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An exponential function that represents the population is y = 5 (7)ˣ. And the population after 5 days will be 84035.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The table is shown.
The exponential equation is given as
y = abˣ
Then at x = 1, y will be 35. Then we have
35 = ab ...1
Then at x = 2, y will be 245. Then we have
245 = ab² ...2
On solving equations 1 and 2. Then we have
a = 5 and b = 7
Then the exponential function will be
y = 5 (7)ˣ
Then the population after 5 days will be
y = 5 (7)⁵
y = 5 x 16807
y = 84035
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The side-lengths of a triangle are increased by a scale factor of 4. Predict
how this change will affect the area.
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Answer:
It will become 64 times larger
Step-by-step explanation:
Which sum or difference is modeled by the algebra tiles? a. (-x2 2x 3) − (x2 − 2x − 1) = -2x2 2 b. (-x2 2x 3) − (-x2 2x 1) = -2x2 2 c. (-x2 2x 3) (-x2 2x 1) = -2x2 2 d. (-x2 2x 3) (-x2 − 2x − 1) = -2x2 2
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The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2
How to determine the sum or difference?From the complete question, we have the following expressions:
(-x²+2x+3) and (-x²-2x-1)
Add both expressions
(-x²+2x+3) + (-x²-2x-1)
Expand
-x²+2x+3 -x²-2x-1
Collect the like terms
-x² -x² + 2x - 2x + 3 -1
Evaluate the like terms
-2x²+2
Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2
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15,266,783.93 + 6,332,682.27442 - 92.833 + 20/100 divided by 42
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Answer: 21599373.37618
Step-by-step explanation:
are all natural numbers also a whole number? (yes/no)
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Answer:
Yes
Step-by-step explanation:
Natural numbers are positive integers such as 1, 2, 3, etc., (sometimes zero as well). As such, they are indeed whole numbers, so the statement is true.
The volume of Earth is approximately 1 x 10^12 cubic kilometers. The volume of Mercury is approximately 6 x 10^10 cubic kilometers. About how many times bigger is Earth’s volume than Mercury’s?
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Answer:
Volume of the Earth is about 16.67 times bigger than Mercury's volume.
Step-by-step explanation:
Given:
[tex]V_E = 1 \times 10^{12} \text{ km}^3\\V_M = 6 \times 10^{10} \text{ km}^3[/tex]
[tex]V_E[/tex] is the volume of the Earth and [tex]V_M[/tex] is the volume of the Mercury.
Divide volume of the Earth with the volume of Mercury.
[tex]\frac{V_E}{V_M} = \frac{1 \times 10^{12} \text{ km}^3}{6 \times 10^{10} \text{ km}^3} = \frac{1 \times 10^{2}}{6} = \frac{100}{6} = \frac{50}{3} \approx 16.67[/tex]
Volume of the Earth is about 16.67 times bigger than Mercury's volume.
2 1/3 ÷ 1 3/4-2.6÷1.3
pls i rlly need help anything will help
Answers
Answer:
The answer is -2/3
Step-by-step explanation:
Multiply by the reciprocal:
7/3 / 1/4 x 2
Simplify expression:
7/3 x 4/7 -2
Calculate:
1/3 x 4 -2
4/3 - 2
= -2/3
7.
Quadrilateral PQRS is inscribed in a
circle. The ratio of m/P to m/R is 2: 4.
What is mZR?
F 30°
H 120°
G 60°
Not here
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Answer: Ha
Step-by-step explanation:
How do you find the volume of a square pyramid?
Answers
Answer:
to find volume of square pyramid use this formula
Step-by-step explanation:
[tex]volume = \frac{1}{3} a {}^{2} h[/tex]
Luca's science class is making slime from cornstarch and glue. Luca is helping pass out materials. He gives each student 80 grams of cornstarch from a 2-kilogram bucket. If Luca's class has a total of 21 students, how many grams of cornstarch will he have left?
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Answer:5
Step-by-step explanation:
Ali is playing computer solitaire. He tallies the number of times he wins and loses.
A. Use Ali’s results to estimate the probability of him winning the next solitaire game.
B. How could Ali improve the accuracy of his estimate.
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Answer:
use ali result to estimate the probability of him winning the next solitaire game
please help i really need it
Answers
Answer:
6/63
Step-by-step explanation:
To find the probability in fraction form you must first add all the evidence together and then use that number as the denominator
Answer:
2/21
Step-by-step explanation:
There were a total of 7+6+12+19+19=63 spins, 6 of which blue.
So, you can make the fraction 6/63=2/21 to represent the probability of the spinner landing on blue the next spin
Characterize the slope of the line in the graph.
Answers
A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation that can be used to find the original price.
Answers
Answer:
p - 14.5 = 53
Step-by-step explanation:
The original price is p.
The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.
The discounted price is $53
Equation:
p - 14.5 = 53
Find the area of the parallelogram.
Answers
Answer: 25 in.
Step-by-step explanation:
A = bh
A = 5 x 5
A = 25
A:bh
A:5x5
A:25
Hope this helps
Simplify the expression.
Answers
Answer:
D
Step-by-step explanation:
Given :
[tex]\sqrt[5]{224x^{11}y^{8} }[/tex]Solving :
The maximum number of x we can bring out is 11/5 = 2The maximum number of y we can bring out is 8/5 = 1The maximum number of 2 we can bring out : 224 = 2⁵ x 7 = 5Hence :
[tex]\sqrt[5]{224x^{11}y^{8} }[/tex]2x²y [tex]\sqrt[5]{7xy^{3} }[/tex]DAnswer:
D. [tex]\huge 2x^2y\sqrt[5]{7xy^3}[/tex]
Step-by-step explanation:
[tex]\huge\sqrt[5]{224.x^{11}.y^8}[/tex] (Given)[tex]=\huge\sqrt[5]{2^5.7.x^{10+1}.y^{5+3}}[/tex] [tex]=\huge\sqrt[5]{2^5.7.x^{10}.x.y^{5}.y^3}[/tex] [tex]=\huge 2.x^2.y\sqrt[5]{7.x.y^3}[/tex] [tex]=\huge 2x^2y\sqrt[5]{7xy^3}[/tex]#73 will give brainliest to best answer!
Answers
Answer:
y=x^2+6
Step-by-step explanation: Look at the vertex (0,6). We know the equation is quadratic so we know x^2. We know in the slope-interpect form equation the y-intercept is the term after the slope. The same applies in this equation. So that means the y intercept is 6 because y is 6 in the coordinate (0,6). We know the slope x^2. We need to plug that into the slope-intercept form equation.
The equation will be y=x^2+6.
Answer:
[tex]y = x^2 + 6[/tex]
Step-by-step explanation:
Vertex form for a parabola is [tex]y = a(x-h)^2 + k[/tex] where the vertex is [tex](h,k)[/tex]. Now for a vertex of (0,6), we can simply plug those values in for h and k: [tex]y = x^2 + 6[/tex].
Hope this helps!! :)
