Answer:
571.77 is the correct answer because
C=2πr=2·π·91≈571.76986
Suppose that a list of nine items, (r(l),r(2),...,r(9)), is sorted by key in decending order so that r(3).key = 12 and r(4).key = 10. List the executions of the BinarySearch algorithms that would be needed to complete BinarySearch(1,9) when:________.
(a) The search key is C = 12
(b) The search key is C = 11
Find the given attachments
If 3x−y=12, what is the value of 8x/2y?
Answer:
17.2
Step-by-step explanation:
3x=12+y
x=12+y/3
[tex]8( \frac{12 + y}{3}) \div 2y[/tex]
[tex] \frac{96 + 8y}{3} \times \frac{1}{2y} [/tex]
[tex] \frac{96 + 8y}{6y} [/tex]
(y is divided by y so it no longer exists)
[tex] \frac{96 + 8}{6} [/tex]
[tex] \frac{104}{6} [/tex]
[tex]17.2[/tex]
Graph a parabola whose intercepts are x=-3 and x=5 and whose minimum value is y =-4
Answer:
[tex]y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60[/tex]
Step-by-step explanation:
A parabola has the following format:
[tex]y = f(x) = ax^{2} + bx + c[/tex]
If a is positive, it's minium value is:
[tex]y_{M} = -\frac{\bigtriangleup}{4a}[/tex]
In which
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
Factoring:
[tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], in which [tex]x_{1} and x_{2}[/tex] are the intercepts.
In this question:
[tex]x_{1} = -5, x_{2} = -3[/tex]
So
[tex]a(x - x_{1})*(x - x_{2}) = a*(x - (-5))*(x - (-3)) = a*(x+5)*(x+3) = a*(x^{2} + 8x + 15)[/tex]
Suppose a = 1, we have:
[tex]x^{2} + 8x + 15[/tex]
[tex]\bigtriangleup = 8^{2} - 4*1*15 = 4[/tex]
The minimum value will be:
[tex]y_{M} = -\frac{4}{4} = -1[/tex]
We want this minimum value to be -4, which is 4 times the current minimum value, so we need to multiply a by 4. Then
[tex]a = 4[/tex]
And the parabola is:
[tex]y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60[/tex]
Which is the equation of a parabola with vertex (0,0) and focus (0,2)?
Answer:
The equation of the parabola is y=(1/8)x^2
[tex]y=\dfrac{1}{8}x^2[/tex]
Step-by-step explanation:
We know the vertex (0,0) and the focus (0,2) of the parabola.
The equation in vertex form is written as:
[tex]y=a(x-h)^2+k\\\\\text{vertex}=(h,k)[/tex]
Then, in this case, we have the equation:
[tex]y=a(x-0)^2+0=ax^2[/tex]
As the focus is (0,2), it is at a distance of 2 units from the vertex (0,0).
For the focus, we have the following equation:
[tex]4p(y-k)=(x-h)^2[/tex]
where p is the distance from the focus to the vertex (in this case, p=2).
h and k are the vertex coordinates, both 0.
So we have:
[tex]4p(y-k)=(x-h)^2\\\\4(2)(y-0)=(x-0)^2\\\\8y=x^2\\\\y=\dfrac{1}{8}x^2[/tex]
The surface area of the cushion in square inches
Answer:
The answer is 1,787.75 square inches
Step-by-step explanation:
Answer:
1,787.75
Step-by-step explanation:
I dont understand anything, plz help
Bob has been hired by Global Domination Inc. to examine the mass of widgets being produced by two
different factories. The data he gatheredare in the following tables:
Factory 1:
234 234 237 239 245 248 250 256 257 260
262 262 262 266 267 268 274 275 277 279
Factory 2:
146 247 249 250 251 253 253 254 255 257
257 257 258 259 261 266 267 267 269 274
Construct two box-and-whisker plots, one for each factory, and arrange them side-by-side using the
same scale.
Plz help I need this in soon and I don't know the answer
Answer:
.13
Step-by-step explanation:
We need to find the areas of the regions
Area of the shaded region
A =pi r^2
pi (5)^2
25pi
The area of the total region
A = pi r^2
A = pi 14^2
= 196 pi
P(shaded) = shaded/ total
= 25 pi/196 pi
25/196
.12755102
To the nearest hundredth
.13
Answer:
0.13
Step-by-step explanation:
Total area:
Pi × 14²
3.14 × 196
615.44
Shaded area:
3.14 × 5²
78.5
Probability: 78.5/615.44
0.12755102
What’s the correct answer for this?
Answer:
As shown in picture, if MC is median of triangle ABC, M is midpoint of AB.
Denote the coordinate of A, B and M are (Ax, Ay), (Bx, By) and (Mx, My) respectively.
The formula relating coordinate of A, B and M is:
Ax + Bx = 2Mx
Ay + By = 2My
In detail,
-1 + Bx = 2 x 4 => -1 + Bx = 8 => Bx = 9
11 + By = 2 x 11 = > 11 + By = 22 => By = 11
=> Option D is correct
Hope this helps!
:)
The CPI for "personal computers and peripheral equipment" in June 2006 was 10.7 (1982-1984 = 100). Interpret this index.
A. There was no significant increase in the price of "personal computers and peripheral equipment"
B. The price of "personal computers and peripheral equipment" increased 10.7%.
C. The price of "personal computers and peripheral equipment" decreased 89.3%.
D. If the average price of a computer in 1982-1984 was $3000.00, the CPI for "personal computers and peripheral equipment" would predict that the price of a computer in June 2006 would be $893.
Answer:
C. The price of "personal computers and peripheral equipment" decreased 89.3%.
Step-by-step explanation:
Consumer Price Index (CPI) measures change in price level, of weighted average market basket of consumer goods & services produced by households.
CPI calculated change in current year price level with regards to base year price level, base year price = 100. CPI > 100 implies that inflation (price rise) has occurred in current year from base year. CPI < 100 implies that deflation (price fall) has occurred in current year from base year.
CPI for 'personal computers & equipment' = 10.7 implies that prices of 'personal computers & equipment' have fallen or deflated. As per base year price = 100, prices have fallen by 100 - 10.7 = 89.3%
Answer:
The answer is "Option B"
Step-by-step explanation:
[tex]CPI = 10.7 \ in \ (\ june, \ 2006) \\\\CPI_{2006}= \frac{\ cost \ of \ basket \ of \ year \ 2006}{\ cost \ of \ basket \ of \ year \ 1982 \ to \ 84} \times 100\\\\\frac{10.7}{100} =\frac{\ cost \ of \ basket \ of \ year \ 2006}{\ cost \ of \ basket \ of \ year \ 1982 \ to \ 84}\\\\[/tex]
The cost of basket [tex]_{1982 \ to 1984} \times 0.107= \ cost \ of \ basket_{2006} \\\\[/tex]
[tex]\ cost \ of \ basket_{1982 \ to 1984} \ is \ given \ as \ 100\\\therefore \ \ cost \ of \ basket_{2006} = 100 \times 0.107\\\\[/tex]
[tex]\ = 10.7\\\\[/tex]
So, the answer is 10.7 % .
please help me w this question — pls show work
Answer:
B. 129.7°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin((c/a)sin(A)) = arcsin(117/57·sin(22°)) = 50.3°
The value shown is the result of using the arcsin function, but we know that the supplement of this angle has the same sine value. Then, we could have ...
C = 180° -50.3° = 129.7°
The figure shows C as an obtuse angle, so we choose this latter value as the appropriate answer to this question.
C = 129.7° . . . . . matches choice B
_____
Comment on the answer
We note that choice C (50.3°) matches the result of straightforward use of the law of sines. This triangle actually has two solutions for angle C, as we have noted above. Often, figures are "not to scale," so the appearance of angle C as an obtuse angle cannot always be taken at face value. Here, because both choices for angle C are offered, we use the appearance of the figure to help decide the right one.
Evelyn says that ⅗ is equivalent to 9/15. Anna says that ⅗ is equivalent to 15/25. Who is correct? How do you know?
Answer:
Both are correct
Step-by-step explanation:
3. ×3. 9
5. ×3. 15
3. ×5. 15
5. ×5. 25
PLEASE THIS IS AN EMERGENCY!!! YOU GET ALL MY POINTS!!! Adrianna's famous punch calls for 2 liters of mango juice. The only mango juice she can find is sold in 250milliliter cartons. How many cartons of mango juice does Adrianna need to buy?
Answer:
8 cartons
Step-by-step explanation:
1000milliliter = 1 liter
Hence 2 liters of mango juice = 2000 millilitres.
Therefore, no of cartons = 2000/250 = 8 cartons
which of the following is equivalent to -7/-12?
7/-12
7/12
12/7
Step-by-step explanation:
7/ 12 is equivalent to - 7/-12
Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to In.
A. Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nxn identity matrix, In
B. Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in A must be on the main diagonal. Hence A is the nxn identity matrix, In.
C. Suppose A is n x n and the equation Ax=0 has only the trivial solution. Then there are n free variables in this equation, thus A has n pivot columns. Since A is square and then pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nxn identity matrix, In.
Answer:
i think that the answer is like hhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
help plz I need big help someone plz help me with this question!
Answer:
Step-by-step explanation to be honest probably 12 if not i’m so sorry
Why is this a parallelogram?
Answer:
b both pairs of opposite sides are parallel
Answer:
B or the second choice from the top
Step-by-step explanation:
The definition of a parallelogram, in my own words, is a quadrilateral with two pairs of opposite parallel sides (hence the name). Therefore, the second choice from the top is correct. Hope this helps!
Throughout his photography career, Paul has photographed 200 adult elephants in the wild. If each elephant weighed approximately 1.4 x 104 pounds, find the combined weight of all 200 elephants expressed in scientific notation.
Answer:
[tex] (200*1.4) *10^4[/tex]
And we got:
[tex] 280 x10^4[/tex]
And if we move the decimal point two units to the left we got:
[tex] 2.8 x10^6[/tex]
Step-by-step explanation:
We know that each elefeant weight about [tex]1.4 x10^4[/tex]
And we have a total of 200 elephants so then we can find the total weights for the elephants with this formula:
[tex] 200 *1.4*10^4[/tex]
Using the properties of multiplication we can do this:
[tex] (200*1.4) *10^4[/tex]
And we got:
[tex] 280 x10^4[/tex]
And if we move the decimal point two units to the left we got:
[tex] 2.8 x10^6[/tex]
The distance of a point ( 0 , -3 ) from the origin is
Answer:
3
Step-by-step explanation:
A(0, -3); O(0,0)
AO=√[(0-0)²+(0+3)²]=√3²=3
Which table represents the statement “A giraffe runs at a rate of 32 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 32, 64, 96. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 16, 32, 48. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 8, 16, 24. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 32, 33, 34.
Answer:
The answer is A.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A
Angle A is circumscribed about circle O. What is the measure of A.
Answer:
88
Step-by-step explanation:
Sum of angles in a quadrilateral= 360 degrees
<OCA=90degrees [ tangent perpendicular to the circle.
<OBA= 90degrees =tangent perpendicular
to the circle
<OCA + <OBA +92 + <OAB= 360
90 + 90 + 92 + <OAB = 360
272 + < OAB = 360
<0AB= 360- 272 =88 degrees
Answer: 88
Step-by-step explanation: Khan Academy
how much is nine plus ten I forgot
9+10= ?
Answer: the answer is 19
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
I’ve been stuck on this one for a while can anyone help me?
Answer:
It would be Unlikely
Step-by-step explanation:
What is 8 to the power of 2
Answer:
64
Step-by-step explanation:
[tex] {8}^{2} = 8 \times 8 = 64[/tex]
express in the form n:1 give n as a fully simplified fraction 6:10
Answer:
n = 3/5
Step-by-step explanation:
We are given the ratio 6 : 10.
We see that we want to get a number n to 1 ratio; n : 1
In order to get one, we must divide 10 by 10, and so we would divide the entire ratio by 10 and simplify:
6/10 : 10/10
3/5 : 1 or 0.6 : 1
A farmer has a rectangular field.the field is 300m long and 200m wide. calculate the perimeter of the field
Answer:
1000m
STEP BY STEP EXPLANATION: 300m+300m+200m+200m
=600m+400m
=1000m
The perimeter of the field is 1000m
Calculation of the perimeter of the field:Since the field is 300m long and 200m wide.
We know that the perimeter of the rectangle is
= 2(length + width)
= 2(300 + 200)
= 2(500)
= 1000m
Therefore we can conclude that The perimeter of the field is 1000m
Learn more about perimeter here: https://brainly.com/question/17211131
To qualify for the postcard rate for postage, a postcard must be less than 4 inches high. Elayne has a postcard that is 4 inches high. How much is her postcard over the height limit?
Answer:
It's 1 inch higher than the limit
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
One approach to active learning is a "flipped classroom." This commonly involves students watching video lectures outside of class and working on problem solving activities in class. Research has primarily focused on comparing teaching approaches using end-of-class outcomes, such as final grades. In a recent project, researchers compared the lasting benefits of a flipped classroom by comparing grades received in the subsequent course of the series. Here are the results:
Groups n I s
Flipped 166 2.45 1.09
Traditional 129 1.59 1.20
Assume the population variances are equal.
Do the average grades received differ across the two delivery styles of the previous course? Use a=0.01.
Answer:
Yes, they differ across the two delivery styles of the previous course.
Step-by-step explanation:
So, we are given the following data or information or parameters from the question above;
Flipped(group) => 166(n) 2.45(l) 1.09(s).
Traditional(group) => 129(n) 1.59(l) 1.20(s).
Therefore, the hypothesis is given below as; Jo : b1 = b2, Jx : b1 ≠ b2.
Recall that we are given; 166 = (n1), 2.45 = (l1), 1.09 = (s1) and 129 = (n2) , 1.59 = (l2), 1.20 = (s2).
Therefore, we will be using the following mathematical representation or formula to solve this question;
s = √(s1^2/ n1 + s2^2/n2).
When we slot it the values accordingly and solve for s, we will have a value of;
s = 0.1354.
Thus , for our t*, we can calculate that by using the formula below:
t*= l1 - l2/ s.= (2.45 - 1.59)/ 0.1354= 6.35.
Thus: p value = 2P(V> 6.35) = 2.1 × 10^-10.
Since we are given that a=0.01, thus, p value is less than 0.01 we can reject Jo.
find the value of log 3 base 81.
Exact value
Decimal form
0.47712125
Answer:
[tex]log_{81} 3 = \frac{1}{4}[/tex]
Step-by-step explanation:
[tex]Let \; log_{81} 3 = x \\\therefore 3 = {81}^x ..(by\: changing\: in \: exponential\: form)\\\therefore 3^1 = {3}^{4x}\\\therefore 1 = 4x.\\(\because bases \: are \: equal,\: hence \: exponents\: will\: also\: be \: equal)\\\therefore x = \frac{1}{4}\\\\\huge\purple{\boxed{\therefore log_{81} 3 = \frac{1}{4}}}[/tex]
Find the volume of a pyramid with a square base, where the side length of the base is
16.6
m
16.6 m and the height of the pyramid is
10.1
m
10.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
Volume of the pyramid = 927.72 m² (Approx)
Step-by-step explanation:
Given:
Length of base = 16.6 m
Height of the pyramid = 10.1 m
Find:
Volume of the pyramid = ?
Computation:
Area of the square base = Side²
Area of the square base = (16.6)²
Area of the square base = 275.56 m²
[tex]Volume\ of\ the\ pyramid = \frac{1}{3}(Area\ of\ base)(Height)\\\\Volume\ of\ the\ pyramid = \frac{1}{3}(275.56)(10.1)\\\\Volume\ of\ the\ pyramid = 927.7186[/tex]
Volume of the pyramid = 927.72 m² (Approx)
JC is making a poster for Bike Safety Week. The diameter of circle A is 18 in. If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)
Answer:
254.34
Step-by-step explanation:
area = [tex]\pi r^{2}[/tex]
area B = 3.14 x [tex](\frac{18}{2})^{2}[/tex] = 254.34