Answer and Step-by-step explanation:
The answer is that A'C' will be 1.5 times longer than AC.
This is because you are dilating the figure by a scale of 1.5.
#teamtrese #PAW (Plant and Water)
The area of a square rug is 64 ft.² what is the perimeter of the rug?
Answer:
[tex]32[/tex][tex] {ft}^{2} [/tex]
Step-by-step explanation:
The area of a square rug = 64 ft²
First we will find the side of square rug = [tex] {64}^{2} = {s}^{2} [/tex]
[tex] {s}^{2} = 8 [/tex]
Perimeter of the rug = [tex]4 \times 8 [/tex][tex] = 32[/tex]ft²
Hope it is helpful...Determine whether the series is convergent or divergent by expressing sn as a telescoping sum.
[infinity]
Σ 8/n^2-1
n=3
Answer:
The sum converges at: [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^{\infty}_{n =2} \frac{8}{n^2 - 1}[/tex]
Express the denominator as difference of two squares
[tex]\sum\limits^{\infty}_{n =2} \frac{8}{(n - 1)(n+1)}[/tex]
Express 8 as 4 * 2
[tex]\sum\limits^{\infty}_{n =2} \frac{4 * 2}{(n - 1)(n+1)}[/tex]
Rewrite as:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{2}{(n - 1)(n+1)}[/tex]
Express 2 as 1 + 1 + 0
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+0}{(n - 1)(n+1)}[/tex]
Express 0 as n - n
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+n - n}{(n - 1)(n+1)}[/tex]
Rewrite as:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)-(n - 1)}{(n - 1)(n+1)}[/tex]
Split
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)}{(n - 1)(n+1)}-\frac{(n - 1)}{(n - 1)(n+1)}[/tex]
Cancel out like terms
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]
In the above statement, we have:
[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{6})][/tex]
[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{6})][/tex]
Add [tex]a_7[/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{7 - 1} - \frac{1}{7+1})][/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{6} - \frac{1}{8})][/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{8})][/tex]
Notice that the pattern follows:
[tex]a_3 + a_5 + a_7 + ...... + a_{k}= 4[(\frac{1}{2} - \frac{1}{k+1})][/tex]
The above represent the odd sums (say S1)
For the even sums, we have:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]
In the above statement, we have:
[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{7})][/tex]
[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{7})][/tex]
Add [tex]a_8[/tex] to both sides
[tex]a_4 + a_6 +a_8 = 4[(\frac{1}{3} - \frac{1}{7}) + \frac{1}{7} - \frac{1}{9}][/tex]
[tex]a_4 + a_6 +a_8 = 4[\frac{1}{3} - \frac{1}{9}][/tex]
Notice that the pattern follows:
[tex]a_4 + a_6 + a_8 + ...... + a_{k}= 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]
The above represent the even sums (say S2)
The total sum (S) is:
[tex]S = S_1 + S_2[/tex]
[tex]S =4[(\frac{1}{2} - \frac{1}{k+1})] + 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]
Remove all k terms
[tex]S =4[(\frac{1}{2}] + 4[(\frac{1}{3}][/tex]
Open bracket
[tex]S =\frac{4}{2} + \frac{4}{3}[/tex]
[tex]S =\frac{12 + 8}{6}[/tex]
[tex]S =\frac{20}{6}[/tex]
[tex]S =\frac{10}{3}[/tex]
The sum converges at: [tex]\frac{10}{3}[/tex]
Why do a lot of kids not have data and only WiFi?
Answer:
maybe because it is the only thing they can afford?
Step-by-step explanation:
this has many solutions to it, but to me it is simply because wifi is stationary and companies don't need to keep upgrading their systems to help them get internet in remote areas, so it is easier to find a place called home. but other than the wifi being great band-width strength, i can't see a reason why people (kids specifically) can't use data while on the go because some data plans can make it even cheaper than long-term wifi plans and at the same time some can also have signal strength that is acute to having home-wifi. and even better yet, you can still have mobile data inside your home without any difference in signal strength. so i say other-wise we could one-day ditch the old way of getting internet
Which is the better value for money 250g of coffee R12,35 or 450g of the same coffee at R21,95
Answer:
450g coffee or 21.95$ coffee
Step-by-step explanation:
again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee
SAT Scores The national average SAT score (for verbal and math) is 1028. Assume a normal distribution with o=92.
0
Round intermediate : -value calculations to two decimal places.
What is the 95th percentile score? Round the answer to the nearest whole number,
The 95th percentile score is ?
Answer:
Similar to your other question. Now, you're looking for the score such that this time, 0.99 corresponds to a z-score of approximately, which means
Use the method of disk or washer to set up, but do not evaluate, an integral for a volume of the solid obtained by rotating the region bounded by the given curves about the given line.
y=√x and y=x and y=1
Answer:
V = π /2 volume units
Step-by-step explanation:
Volume of y = √x bounded by y = x and y = 1
y = √x
limits of integration ( see Annex )
By simple inspection limits of integration are x = 0 to x = 1
or y = √x and y = x
solving these two equations
x = 0 y = 0 x = 1 y = ± 1
V = ∫ π*f(x)²*dx
V = π * ∫₀¹ x*dx = π * x²/2 |₀¹
V = π * (1/2) - 0
V = π /2 volume units
How many sides does a regular polygon have if each exterior angle measures
20?
Answer:
18 sides
Step-by-step explanation:
Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides
what are the domain and range of this function?
Answer:
domain: all real numbers
range: {y | y ≥ 0}
The price of admission to a World War I history museum is $8.29 for adults and $6.47 for children. A family of 2 adults and 4 children visits the museum. What is the total cost, in dollars, of admission?
Answer:
cost for adults=$8.29
cost for children=$6.47
cost for 2 adults and 4 children are =$(2×8.29)+(4×6.47)=$16.58+25.88=$42.46
Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30
Answer:
5 13 and 10
blue cheese
Roman numeral for 67
Answer:
LXVII
Step-by-step explanation:
The roman numeral for 67 is LXVII
LX represents 60 and VII represents 7
To wrap a gift, you can choose from 6 kinds of wrapping paper, 3 gift bags, 4 colors of ribbon, 2 bows, and 5 stickers. You choose either a style of wrapping paper or a gift bag. Then you choose one of each of the remaining items. Find the total number of ways you can wrap the gift.
Answer:
the answer would be 480 different ways because you would multiply all the numbers.
Given a mean of 75 and a standard deviation of 7, how many students out of 500
would score higher than 89?
Answer:
230
Step-by-step explanation:
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I am a fraction and I am equivalent to 4/9. If my numerator is 28. Who am I?
Answer:
I am 28/63
Step-by-step explanation:
4 * 7 = 28
9 * 7 = 63
Therefore, 4/9 is equivalent to 28/63.
PLEASE HELP LAST THING I NEED ON MATH
WILL GIVE BRAINLIEST, THANKS AND 5* VOTE
TROLL = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED
Answers:
side a = 12.3 unitsangle B = 100 degreesside b = 15.8 units===========================================================
Explanation:
Let A = 50 degrees and C = 30 degrees. The side opposite angle uppercase C is lowercase c = 8. Convention usually has uppercase letters as the angles, while the lowercase letters are side lengths. A goes opposite 'a', B goes opposite b, and C goes opposite c.
Let's use the given angles to find the missing angle B
A+B+C = 180
50+B+30 = 180
B+80 = 180
B = 180-80
B = 100
Now we can apply the law of sines to find side b
b/sin(B) = c/sin(C)
b/sin(100) = 8/sin(30)
b = sin(100)*8/sin(30)
b = 15.7569240481953
b = 15.8
Make sure your calculator is in degree mode.
----------------------------
We'll do the same thing to find side 'a'
a/sin(A) = c/sin(C)
a/sin(50) = 8/sin(30)
a = sin(50)*8/sin(30)
a = 12.2567110899037
a = 12.3
Both values for 'a' and b are approximate (even before rounding).
-----------------------------
Extra info (optional)
As you can probably tell or guess, the phrasing "solve the triangle" means "find all sides and angles".Notice how if we erase the question marked sides and angles of the original drawing, we're left with something in the AAS case. Meaning that exactly one triangle is possible here. We don't have to worry about any ambiguous case.If you wanted, you could apply the law of cosines rule after you determine two sides and an included angle between them. This will yield the length of the side opposite the angle.Answer:
B=100
b=15.7
a=12.25
Step-by-step explanation:
first find the missing angle:
B=180-50-30
B=100
then use the law of sines:
[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) ) } = \frac{c}{ \sin(c) } [/tex]
then
[tex] \frac{a}{ \sin(50) } = \frac{8}{ \sin(30) } \\ \\ a = 12.25[/tex]
use the same way to find the other side
[tex] \frac{b}{ \sin(100) } = \frac{8}{ \sin(30) } \\ b = 15.7[/tex]
The sum of two numbers is 45 and their difference is 7. Find the numbers. *
the sum of two numbers that is 45 and their difference is 7 it is 39 and 6 more like 39+6
Shana has three pets, a dog, a cat and a bird. One of them is named Sammy. Noodles is younger than both the bird and the dog. Fluffy is green. Which pet has the name Sammy?
Answer:
The dog has the name Sammy.
Step-by-step explanation:
A cat and dog cannot be green, therefore the bird is Fluffly.
Noodles must be the cat since it's younger than the bird and the dog.
The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.
A cable network offers members a Basic plan for $7.26 per month. For $3.00 more per month, the cable network offers a Standard plan, which includes HD movies. During one week, 310 new subscribers paid a total of $2580.60 for their plans. How many Basic plans and how many Standard plans were purchased?
___Basic plans and ___ Standard plans were purchased
Answer:
110 basic plans and 200 standard plans were purchased.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of basic plans.
y is the number of standard plans.
310 new subscribers
This means that [tex]x + y = 310[/tex], and so, [tex]y = 310 - x[/tex]
A cable network offers members a Basic plan for $7.26 per month. For $3.00 more per month. Total paid of $2580.60.
This means that:
[tex]7.26x + 10.26y = 2580.6[/tex]
Since [tex]y = 310 - x[/tex]
[tex]7.26x + 10.26(310 - x) = 2580.6[/tex]
[tex]7.26x + 3180.6 - 10.26x = 2850.6[/tex]
[tex]3x = 330[/tex]
[tex]x = \frac{330}{3}[/tex]
[tex]x = 110[/tex]
Then
[tex]y = 310 - x = 310 - 110 = 200[/tex]
110 basic plans and 200 standard plans were purchased.
please can anybody help me?
Answer:
A) BEM is an acute angle. B) MBX is an obtuse angle. C) XBE is a straight angle. D) XBE is an angle of vertex B. E) MBY is an angle of side [My). F) Another name for angle BER is REB. G. XBY and MBE are adjacent. EBY and XBM are supplementary angles.
Many service companies collect data via a follow-up survey of their customers. For example, to ascertain customer sentiment, Delta Air Lines sends an e-mail to customers immediately following a flight. Among other questions, Delta asks:
How likely are you to recommend Delta Air Lines to others?
The possible responses are:
1. Definitely will
2. Probably Will
3. May or May Not
4. Probably Will Not
5. Definitely Will Not
Required:
a. Are the data collected by Delta in this example quantitative or categorical?
b. What measurement scale is used?
Answer:
The answer is "Categorical and Ordinal scale"
Step-by-step explanation:
Categorical factors affect data types that can be grouped. This analysis is the examination of data in which the answer variables are grouped in a series of reciprocal classifications, like the age group or even the unordered groups of eye colors.
An ordinal chart is a form of the category with such a specific order or scale. It is the 2nd assessment level that provides the ordering and order of data, without really measure the extent of variability. The first of the four measuring scales is the ordinal scale of listening.
graph this equation using the intercepts: 6x-4y-12=0. state the intercepts in ordered pairs
Answer:
Step-by-step explanation:
y=[tex]\frac{3}{2} x\\[/tex]-3
Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trials. Suppose you are a news reporter following four criminal trials.
a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? What is the probability if the trials were in the United States?
b) Of the four trials, what is the expected number of guilty verdicts in Japan? What is the expected number in the United States? What is the standard deviation in Japan? What is the standard deviation in the United States?
c) As a U.S. news reporter, what is the smallest number of trials n you would need to cover to be at least 99% sure of two or more convictions? What is the smallest number of trials n you would need if you covered trials in Japan?
Step-by-step explanation:
Let X be the number of guilty defendants in Japan
Let y be the number in the US
we have n = 4
p = 0.95
a.) prob of trials in Japan
p(x=4)
= 0.95⁴
= 0.8145
prob of trials in US
p(X=4)
= 0.60⁴
= 0.1296
B. expected number in Japan
E(X) = n*p
= 4*0.95
= 3.8
we find the variance
= n*p(1-p)
= 4*0.95(1-0.95)
= 0.19
standard deviation for japan
= √0.19
= 0.4359
expected number for US
E(X) = n*p
= 4*0.60
= 2.4
we find the variance
= n*p(1-p)
= 4*0.60(1-0.6)
= 0.96
standard deviation for US
= √0.96
= 0.979
c. 2*4 = 8
How do you find the square root of 11? I need to show work
Answer:3.31662479036.
Step-by-step explanation:To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036. Register at BYJU'S to learn other interesting mathematical concepts.
7000 litres of water is pumped out if a tank in 42 minutes.how many litres could be pumped out in one hour
Answer:
10000 litres
Step-by-step explanation:
using proportion
if 7000 litres equals 42 minutes
then, x litres equals 60 minutes
x = (60×7000)÷ 42
x = 10000 litres
100 POINTS!!!!!!!!!!!!!!!!!
Answer:
A = 0.25*j + 1
Step-by-step explanation:
The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.
Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling j cups of orange juice.
The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.
The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;
A = 0.25*j + 1
Hope this helped.....
Answer:
5 points huh thats mean
Step-by-step explanation:
In the equation 2x+4=y, what is the value of y when x=5?
9514 1404 393
Answer:
y = 14
Step-by-step explanation:
Put the value of x where x is and do the arithmetic.
2x + 4 = y
2·5 + 4 = y . . . . . . substitute for x
10 + 4 = y . . . . . . . multiply
14 = y . . . . . . . . . . add
The value of y is 14 when x = 5.
Help find area of this
Answer:
120 sq feet
Step-by-step explanation:
1. 8 x 10 = 80
2. 8 x 5 = 40
3. 80 + 40 = 120 ft2 (sq feet)
Anyone know??? PLEASE HELP ME
Answer:
C
Step-by-step explanation:
Try it.
Answer:Its B or C
Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.
What is the volume, in cubic centimeters, of a rectangular prism with a height of 17 centimeters, a width of 17 centimeters, and a length of 11 centimeters?
Answer:
3179cm^3
Step-by-step explanation:
[tex]volum = height × width × length \\ = 17cm \times 17cm \times 11cm \\ = {3179cm}^{3} [/tex]
There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?
Answer:
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Step-by-step explanation:
Give
[tex]Good = 4[/tex]
[tex]Bad = 3[/tex]
Required
[tex]P(Good\ and\ Bad)[/tex]
This is calculated as:
[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]
So, we have:
[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]
[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]
[tex]P(Good\ and\ Bad) = 12/49[/tex]