Answers
[tex] \frac{2 |x - 3| }{5} = 6 \\ [/tex]
[tex]5 \times \frac{2 |x - 3| }{5} = 5 \times 6 \\ [/tex]
[tex]2 |x - 3| = 30[/tex]
[tex] \frac{2 |x - 3| }{2} = \frac{30}{2} \\ [/tex]
[tex] |x - 3| = 15[/tex]
[tex]x - 3 = 15[/tex]
[tex]x - 3 + 3 = 15 + 3[/tex]
[tex]x = 18[/tex]
OR[tex]x - 3 = - 15[/tex]
[tex]x - 3 + 3 = - 15 + 3[/tex]
[tex]x = - 12[/tex]
|x-3|=15
x-3=-15
x-3=15
x=-12
x=18
Related Questions
Let U={x: x is an integer and 2≤x≤10}. In each of the following cases, find A,B and determine whether A⊆B,B⊆A, both or neither: A={x: 2x+1>7},B={x: x^2>20}. A={x:x^2-3x+2=0},B={x:x+7 is a perfect square}.
Answers
A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct
Set theorySet is defined as the arrangement of elements. They can be represented using the venn diagram.
Given the following sets
U = {x: x is an integer and 2≤x≤10} = {3, 4, 5, 6, 7, 8, 9}
A = {x: 2x+1>7} = {x > 3}
B={x: x^2>20} = {x >± 20}
From the set, can see that A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct
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Help please! I need help!!!!
Evita is solving the system of equations shown using the elimination method. first equation: 3x + 8y = 20 second equation: 5x – 2y = 4 - What operation will eliminate one of the variables?
A. multiply the first equation by 2
B. multiply the first equation by 4
C. multiply the second equation by 2
D. multiply the second equation by 4
Answers
Answer:
D. multiply the second equation by 4
Step-by-step explanation:
3x + 8y = 20 __ equation 1
5x – 2y = 4 ___ equation 2
multiply the second equation by 4
3x + 8y = 20 __ equation 1
20x – 8y = 16 ___ equation 2
============
23x = 36
x = 36/23
y = (4-5x)/-2
y = (4-5(36/23))/-2
y = 44/23
How would you make the approximate probability values very close to the actual probability values? pa help, step by step explanation ):
Answers
Answer:
Using the exact probabilities from the binomial we can find the probability of obtaining 18 or more successes out of 20 trials.
hope it helps!
The fraction strip shown below is shaded to represent dam fraction which fraction strip is shaded to represent a fraction equal to the fraction strip shown above
Answers
Answer:shade 2 strips out of 4 to get fraction strip equivalent to Mandy's fraction strip
Step-by-step explanation:
21 = r -5
=
HOW DO WE SLOVE THIS
Answers
Answer:
R = 26.
Step-by-step explanation:
The way to solve this is to add 5 to both sides.
r=4.2
It may show subtraction but it is division, 21÷5=4.2
Solve the equation by factoring. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
2 cos() tan() + tan() = 1 + 2 cos()
Answers
Answer:
What are the numbers in the parentheses?
3. Select all expressions equivalent to x-5.
Copied for free from openurresources.org
Select all that apply:
A. x+(-5)
OB. X-(-5)
nc. -5+x
OD. -5-x
DE. 5-X
OF. -5-(-x)
OG. 5+x
Submit Answer
Answers
Help help help math math
Answers
Answer:
30
Step-by-step explanation:
30/5 = 6
which is the graph of the linear equality x-2y>-12?
Answers
[tex]x - 2y > - 12[/tex]
[tex] - 2y > - x - 12[/tex]
[tex]2y < x + 12[/tex]
[tex]y < \frac{x}{2} + 6[/tex]
[tex]plot \: the \: line \: of \: eq \: y = \frac{x}{2} + 6[/tex]
Now to find the solution for the inequality, let's substitute 1 point in the inequality.Consider O(0,0)[tex]0 < \frac{0}{2} + 6[/tex]
[tex]0 < 6 \\ true[/tex]
The region that contains the point O(0,0) is the accepted part.Your answer is the last/first one.what is the digit 9 in this number 195,487
Answers
Answer: Is in the 10 thousands place 4
Step-by-step explanation: 100,000 90,000 400 80 7
Answer:
In this case the number 9 would be located in the tens of thousands.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
How do you find the mean (average) of a data set?
Answers
Answer:
To find the mean, you must add up all of the numbers in the data set and then divide them by the amount of numbers there are.
Step-by-step explanation:
For example:
1, 2, 3, 4, 5
To find the mean, we first add up all of these numbers:
1 + 2 + 3 + 4 + 5 = 15
Next, since there are 5 total numbers here, we divide their sum by 5:
15/5 = 3
That is how we get the mean (or average) of the data set.
Marlon has 2 gallons. how many cups of juice does he have?
Answers
Answer: Marlon would have 32 cups of juice
Step-by-step explanation:
Since there are 16 cups in one gallon, you simply multiply 16 by 2, to get your answer of 32 cups.
Luke’s has seven coins. He can make 11p with two of his coins. He can make 11p with three of his coins. He can make 11p with four of his coins. What are the seven coin that Luke’s has?
Answers
Answer:
1p 2p 2p 2p 5p 5p 10p
Step-by-step explanation:
Available coins that are less than 11p: 1p 2p 5p 10p
11p with two coins ⇒ 1p + 10p only
11p with three coins ⇒ 1p + 5p + 5p only
11p with three coins ⇒ 2p + 2p + 2p + 5p only
Therefore, the seven coins that Luke has are:
1p 2p 2p 2p 5p 5p 10p
A store is having a Black Friday sale where all electronics are 20% off. Jessica also has a one-time use
coupon for 15% off. If Jessica received both discounts and paid $108.80 for a pair of headphones, what was
the original price of the headphones?
WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
20+15=35%
to find the original price all we have to do is use the formula-
original price = sale price / (1 - percent off/100)
original price = 108.80 / (1 - 35/100)
original price = 167.3846...
original price = 167.38
hope this helps you :D
Help pls I will give brainliest
Answers
Answer:
12cm
Step-by-step explanation:
This is a problem which can be solved with the pythagoras therom.
[tex]a^{2} +b^{2} =c^{2}[/tex]
Plus we can split this triangle into two triangles.
The split triangle has dimensions of 13(bc) by 5 cm(dc).[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]5^{2} +b^{2} =13^{2}[/tex]
Now we solve for b which is the lenght of bd
[tex]25 +b^{2} =169[/tex]
[tex]b^{2} =144[/tex]
[tex]b = \sqrt{144}[/tex]
[tex]b = 12[/tex]
Therefore the lenght of bd is 12cm
Hope this helps! :)
To start, you can see that this is a large triangle divided in half to create 2 right triangles. This means we can use the Pythagorean theorem (a^2) + (b^2) = (c^2) to find the segment bd.
To use the theorem we must know at least 2 values of the sides of the triangle. Since segment ac = 10 cm, we can divide this by 2 to get the base values of the smaller triangles, which would be 5 cm.
So a = 5 cm, c = 13 cm
Now, we have what we need and we can plug it in to the equation:
(5 cm)^2 + b^2 = (13 cm)^2
25 cm + b^2 = 169
b^2 = 144
b = 12 cm
10 ft
12 ft
15 ft
surface area:
volume :
Answers
Answer:
Step-by-step explanation:
Not enough information given in your question to provide an answer.
x≤8 which values satisfy that inequality
Answers
Answer:
8 and below
Step-by-step explanation:
Everything below 9
Answer:
Any real number less than or equal to 8;
for example:
8, 7, -100, π
A dog won a race at the local fair by running 7 1/4 miles in exactly 2 hours. At this constant rate, how long does it take the same dog to run the 26 1/10 mile state fair race? Use ratio reasoning to solve. Use the unit rate found below.
Answers
Answer:
7.2 hrs
Step-by-step explanation:
26.1 / 7.25 * 2 =
The function y= sin 2 (x - 1/2) has a period of?
Answers
Answer:
I believe the period is 1. Because if it was y= sin2 (2(x-1/2) then the period would be 2.
Jackson deposited $6,000 at 2.8% interest, compounded continuously, when he was 28 years old. How much will be in the account when he is 40 years old if he made no other deposits or withdrawals? Use the
continuous compound interest formula. (Do not use commas.)
Answers
The amount that would be in the account when Jackson is 40 years old with continuous compounding is $74,044.49.
What is the future value of the account?The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years : 40 - 28 = 12r = interest rate$6000 x e^0.028 x 12 = $74,044.49
To learn more about continuous compounding, please check: https://brainly.com/question/26476328
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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 12 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.)
Answers
The operating characteristics of the customer waiting line shows that the average service rate per hour is 5 customers per hour.
How to compute the operating characteristics?The average service rate per hour will be:
= 60/12 = 5
The average number of customers waiting will be:
= (2.2)²/5(5 - 2.2)
= 4.84/14
= 0.3457
The average number of customers in the system will be:
= 0.3457 + 2.2/5
= 0.7857
The average time that a customer spends waiting in the system will be:
= 0.3457/2.2
= 0.1571
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What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answers
Answer:
110
Step-by-step explanation:
it is 110 because it is the number in the middle of the data set.
?? i just need help with this question in the photo..
Answers
Answer:
D
Step-by-step explanation:
HURRY ANSWER THIS QUESTION NO LINKS HURRY ASAP I GIVE BRAINLYS Billy and Maria mow lawns. Billy earned $15 the first day and $20 every day after that Maria earned $10 the first day and $25 every day after that Find how much each earns after 15 days. How do Billy's earnings compare to Maria's? Use the drop-down menus to show your answer. After 15 days Billy earns Choose... $230 $245 $295 $315, and Maria earns Choose... $165 $175 $335 $360 Billy will have earned Choose... more less than Maria
Answers
Answer:
less!
Step-by-step explanation:
billy = 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 = 295
maria = 10, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25 = 360
soooooo that in mind! maria earned more than billy!
This is what the questions/answers say for #16-19 or last picture if you can't read it, please answer all questions
16. The number of hours of sunlight in a particular location S(t) can be modeled by the function S of t equals 12 plus 2 times the sine of the quantity 2 times pi over 365 times t end quantity comma where t is the number of days after January 1st. (That is, t = 0 means January 1st.) After how many days will there be 12 hours of sunlight for the first time during the year?
365 over 4 days
365 over 2 days
1095 over 4 days
1095 over 2 days
17. A student was asked to prove the trigonometric identity tangent of one half times x plus cotangent of one half times x equals 2 times cosecant x period Which of the following could be the first step in proving the identity?
the quantity 1 minus cosine x end quantity over sine x plus sin x over the quantity 1 minus cosine x end quantity equals 2 times cosecant x
sine x over the quantity 1 plus cosine x end quantity plus the quantity 1 plus cosine x end quantity over sine x equals 2 times cosecant x
the quantity 1 minus cosine x end quantity over sine x plus the quantity 1 minus cosine x end quantity over sine x equals 2 times cosecant x
I only
II only
I and II only
I, II, and III
18. Based on the graph of the trigonometric functions f (θ) = 4sin θ + 1 and g (θ) = cos 2θ, at what value(s) on the interval [0, 2π) does f (θ) = g (θ)?
0, π
pi over 2 comma 5 times pi over 2
5 times pi over 4 comma 7 times pi over 4
pi over 4 comma 3 times pi over 4 comma 5 times pi over 4 comma 7 times pi over 4
19. Which of the following shows a graph of a tangent function in the form y = atan(bx − c) + d, such that b = 2?
Answers
Problem 9 (#16)
In order to figure out when the amount of sunlight becomes 12 hours for the first time, we need to have [tex]S(t)=12[/tex] and solve the function for [tex]t[/tex]:
[tex]\displaystyle S(t)=12+2\sin\biggr(\frac{2\pi}{365}t\biggr)\\\\12=12+2\sin\biggr(\frac{2\pi}{365}t\biggr)\\\\0=2\sin\biggr(\frac{2\pi}{365}t\biggr)\\ \\0=\sin\biggr(\frac{2\pi}{365}t\biggr)\\\\\pi=\frac{2\pi}{365}t\\\\365\pi=2\pi t\\\\\frac{365}{2}=t[/tex]
Thus, B is the correct answer
Problem 10 (#17)
Recall the half-angle identity [tex]\displaystyle \tan\frac{x}{2}=\frac{1-\cos x}{\sin x}=\frac{\sin x}{1+\cos x}[/tex]Hence, [tex]\displaystyle \cot\frac{1}{2}x=\frac{1}{\tan\frac{1}{2}x }=\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}[/tex]So, you could techincally say that the first two options work as each function has their respective identities true for each option.
Thus, I and II is the correct answer
Problem 11 (#18)
[tex]f(\theta)=g(\theta)\\\\4\sin\theta+1=\cos2\theta\\\\4\sin\theta+1=1-2\sin^2x\\\\2\sin^2\theta+4\sin\theta=0\\\\2\sin\theta\bigr(\sin\theta+2)=0[/tex]
[tex]\displaystyle 2\sin\theta=0\\\\\sin\theta=0\\\\\theta=\{0,\pi\}[/tex]
[tex]\sin\theta+2=0\\\\\sin\theta=-2[/tex]
The solution is indeterminate since -2 does not fall in the range of [tex][-1,1][/tex].
Thus, A is the correct answer
Problem 12 (#19)
Recall that the period of a tangent function [tex]y=a\tan(bx-c)+d[/tex] is [tex]\frac{\pi}{|b|}[/tex]. Hence, if [tex]b=2[/tex], then the period of the tangent function is [tex]\frac{\pi}{2}[/tex]. Since I can't see the graphs, you need to identify which graph has a period of [tex]\frac{\pi}{2}[/tex] (meaning the distance between two vertical asymptotes is pi/2), or post this problem again with the graphs.
12. Make a box-and-whisker plot of the data. (1 point)
20, 23, 28, 14, 13, 24, 18, 11
O
10 12 14 16 18 20 22 24 26 28 30
10 12 14 16 18 20 22 24 26 28 30
O
.
.
10 12 14 16 18 20 22 24 26 28 30
.
10 12 14 16 18 20 22 24 26 28 30
Answers
The box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.
What is the Box-and-whisker Plot?The box-and-whisker plot is a plot that displays the minimum, maximum, median, lower and upper quartile of a data, which is termed as the five-number summary of a data.
Given the data, 20, 23, 28, 14, 13, 24, 18, 11, find the five-number summary:
Minimum - 11Lower Quartile - 13.5Median - 19Upper Qaurtile - 23.5Maximum - 28Therefore, the box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.
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Help 3837373737383333
Answers
Answer:
6/11
Step-by-step explanation:
count how many numbers there are 11
count how many numbers you have that are less than 4 or odd
put that number over the total
simplify if possible
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
Read explanation.
Step-by-step explanation:
The dilation is by a sf (of 6)
This means that to find P'Q', you do 3*6 which is 18
To find N'Q, you do 9*6 which is 54.
Help me pls pls pls pls pls
Answers
Answer:
2 and 4
Step-by-step explanation:
Because the graph lines go straight across instead of up and that means there was no snow fall so that is the least amount of snowfall.
Your welcome :)
which best represents the weight of an elephant
6000 kilograms 6000 centimeters
6000 milligrams 6000 grams
Answers
Answer:
i am from afghanistan and you
Step-by-step explanation: