Answers
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
By AA similarity, ΔABD ~ ΔCDE. So, corresponding sides are proportional.
AB/BD = CD/DE
x/12 = 4/6
x = 12(4/6)
x = 8
Related Questions
Solve for x
X=In sqrt e
Answers
Step-by-step explanation:
e = 2.7182818 so you can just plug that in to your calculator and solve like normal
Simplify: (3x2 − 5xy + 2y2) − (7x2 − 3xy − 3y2) (5 points)
−4x2 + 8xy − y2
−4x2 − 8xy + y2
−4x2 + 2xy − 5y2
−4x2 − 2xy + 5y2
Answers
Answer:
-4×2-2xy+5y2
Step-by-step explanation:
(6-5xy+2y2)-(14-3xy-3y2)
=6-5xy+2y2-14+3xy+3y2
=(6-14)+(-5xy+3xy)+(2y2+3y2)
=-4×2-2xy+5y2
Answer:
−4x2 − 2xy + 5y2
Step-by-step explanation:
Find the area of each shaded region.
Answers
find laplace transform of t+t^2 +t^3
Answers
Recall that
[tex]L_s\left\{t^n\right\} = \dfrac{n!}{s^{n+1}}[/tex]
where [tex]L_s\left\{y(t)\}[/tex] is the Laplace transform of y(t) into the s-domain.
Then you have
[tex]L_s\left\{t+t^2+t^3\right\} = \dfrac{1!}{s^{1+1}} + \dfrac{2!}{s^{2+1}} + \dfrac{3!}{s^{3+1}} = \boxed{\dfrac1{s^2} + \dfrac2{s^3} + \dfrac6{s^4}}[/tex]
Kane's Furniture Store advertised a table at 9% discount. The original selling price was $109, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Answers
Answer:
No, the sale price wasn't consistent with the ad
Step-by-step explanation:
The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.
solve for x please help (show work!)
Answers
Answer:
x = 1/2 or 0.5
Step-by-step explanation:
8(-2x + 1) = 0
Distribute the 8 by multiplying 8 by what's inside of the parenthesis (-2x and 1)
8 * -2x = -16x
8 * 1 = 8
We now have
-16x + 8 = 0
Subtract 8 from both sides
-16x + 8 - 8 = 0 - 8
-16x = -8
Divide both sides by -16
-16x/-16 = -8/-16
x = 1/2
8( -2x + 1 ) = 0
S O L U T I O N :8( -2x + 1 ) = 0Simplify the left hand side
-16x + 8 = 0Transposing -16x to the other side
8 = 16xCross multiplying we get
x = 8/16x = ½x = 0.5Hence the value of x is 0.5 or ½
The probability that a patient recovers from a disease is 0.3.
If 6 people are known to have contacted the disease, what is the probability that at least 4 survive?
Answers
Answer:
0.07047
Step-by-step explanation:
at least 4 people survive is
4 people survive and 2 don't +
5 people survive and 1 doesn't +
all 6 people survive
the probability of 4 people to survive is the product of the individual probabilities :
0.3×0.3×0.3×0.3 = 0.3⁴ = 0.0081
times the probability 2 don't survive
0.7×0.7 = 0.49
0.0081×0.49 = 0.003969
now, the chance that 4 out of 6 survive is that probabilty times how many times we can select 4 out of 6.
to select 4 out of 6 is
[tex] \binom{6}{4} [/tex]
= 6! / (4! × (6-4)!) = 6! / (4! × 2!) = 6×5/2 = 30/2 = 15
so, the probability of having 4 survivors is
15×0.003969 = 0.059535
the probability of 5 people surviving is 0.3⁵ times one not
0.3⁵×0.7 = 0.001701
we have 6 over 5 combinations to pick 5 out of 6 = 6.
so, in total for 5 survivors we get
6×0.001701 = 0.010206
and the probabilty of all 6 surviving is
0.3⁶ = 0.000729
so, the probability of at least 4 out of 6 surviving is
0.059535 +
0.010206 +
0.000729
---------------
0.070470
The table shows a set of conditional relative frequencies of drivers in a survey planning to buy a used vehicle next, based on how they obtained their current vehicle.
Which interpretation of the relative frequencies given is the most appropriate?
A. The greatest number of drivers who plan to buy used are those who leased their current vehicle.
B. The majority of drivers who will buy used next time bought their current vehicle used.
C. Of drivers who bought their current vehicle used, about 4 percent will buy new next time, almost 95 percent will buy used next time, and about 1 percent will lease next time.
D. Of drivers who bought new, 3.9 percent will buy used next time; of drivers who bought used, 94.8 percent will buy used again; of drivers who leased, 1.3 percent will buy used.
Answers
The majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.
What are statistics?Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.
Such elements might consist of, but are not limited to, the following: Employment, professional associations, paid consulting, and participation in groups that support relevant causes.
The given table is:-
Current vehicle Buy used
Bought new 0.039
Bought Used 0.948
Leased 0.013
Total 1.000
In the given table it is observed that the majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.
To know more about statistics follow
https://brainly.com/question/28344445
#SPJ2
PLease Help! I will give you the brainiest and a lot of points
A survey of 104 college students was taken to determine the musical styles they liked. Of those, 22 students listened to rock, 23 to classical, and 24 to jazz. Also, 10 students listened to rock and jazz, 8 to rock and classical, and 8 to classical and jazz. Finally, 6 students listened to all three musical styles. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions.
a. How many listened to only rock music?
n(only rock)
b. How many listened to classical and jazz, but not rock?
n(classical and jazz, not rock)
c. How many listened to classical or jazz, but not rock?
n(classical or jazz, not rock)
d. How many listened to music in exactly one of the musical styles?
n(exactly one style)
e. How many listened to music in exactly two of the musical styles?
n(exactly two styles)
f. How many did not listen to any of the musical styles?
n(none)
Answers
Answer:
A. 22
B. 8
C. 23 + 24
D. 22 + 23 + 24
E. 8 + 8 + 10
F. 104 - (sum of all the given numbers) = 3
Can anyone help me with trig identities?
Answers
Answer:
cosA = √(21/25)
Step-by-step explanation:
We know
sin²(A) + cos²(A) = 1
Next, we know that sin(A) = 2/5. Plugging that into our equation, we get
(2/5)² + cos²A = 1
4/25 + cos²A = 1
subtract 4/25 from both sides to isolate cos²A
cos²A = 1 - 4/25 = 25/25-4/25 = 21/25
square root both sides to get
cosA = √(21/25)
We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.
87.26+(-25.6)+(-5.4)
Answers
Answer:
= 87.26 + (-25.6) + (-5.4)
=87.26- 25.6 - 5.4
= 87.26 - 31
= 56.26
✌✌✌✌✌
Se o preço de 8 potes de nutella é 288 reais, qual e o preço se 5 potes de Nutella
Answers
Dia – R$ 21,19.
Futurama – R$ 19,99.
Hirota – R$ 19,78.
Mambo – R$ 19,90.
Pão de Açúcar – R$ 20,90.
Pastorinho – R$ 19,90.
Sonda – R$ 19,99.
-3x=6x + 2 solve for x
Answers
Answer:
Step-by-step explanation:
6x+3x= -2
9x= -2
x= -2/9
Answer:
-3x=6x+2
⇒-9x=2
⇒x=-2/9
Step-by-step explanation:
8/9 - Evaluating Algebraic Expressions
5. Which is equivalent to 4x - (y + x) + 2, if x = 5 and y=-3?
O 20
-20
-15
O 15
Answers
9514 1404 393
Answer:
(a) 20
Step-by-step explanation:
Put the numbers in place of the corresponding letters and do the arithmetic.
4(5) -((-3) +5) +2 = 20 -2 +2 = 20
Express 456782 to 2 significant figures
Answers
Answer:
the answer for this is 45*10^4
What function type does the table of values represent?
A) Linear
B) Exponential
C) Quadratic
D) Can't be determined
Answers
Answer:
Hello,
answer C
Step-by-step explanation:
[tex]\begin{array}{|c|c|c|c|}x&y&x^2&3x^2\\---&---&---&---\\1&3&1^2&3*1^2=3\\2&12&2^2&3*2^2=12\\3&27&3^2&3*3^2=27\\4&48&14^2&3*4^2=48\\5&75&5^2&3*5^2=75\\\end{array}\\\\\\\boxed{y=3x^2\ the\ function\ is\ quadratic.}[/tex]
Please help it’s due today
Answers
Answer:
67 degrees
Step-by-step explanation:
23 + 90 = 113
180 - 113 = 67
the sum of 2 numbers is 18 and there difference is 6
Answers
Answer:
The two numbers are 6 and 12.
Step-by-step explanation:
So, let's start off, with x+y = 18 and x-y = 6.
Algebraically, we can add the above two equation sets, and we find out that 2x = 24, so x = 12. And then, it says the other number must be 6.
You start with a number that when added to the second number you will get 18 and when you subtract the second number from the first you will get 6. The difference between the above two results is 12.
So that difference of 12 is twice the second number; that means the second number is 6. And then using either of the given pieces of information, you can find that the first number is 12.
------------------------------------------------------
In conclusion:
6 + 12 = 18
12 - 18 = 6
This graph shows a portion of an odd function.
Use the graph to complete the table of values.
X
f(x)
-2.
-3
-4
-6
DONE
Answers
9514 1404 393
Answer:
-2-1-2-3Step-by-step explanation:
An odd function is symmetrical about the origin:
f(-x) = -f(x)
So, ...
f(-2) = -f(2) = -2
f(-3) = -f(3) = -1
f(-4) = -f(4) = -2
f(-6) = -f(6) = -3
Answer:
-2
-1
-2
-3
I did it on edge2020 and got it right
12
Detroit, Michigan covers an area of 142.9 square miles. There are approximately
672,800 people living in Detroit. Grand Rapids, Michigan has an area of 45.3 square
miles and has a population of approximately 195,100 people. How many more
people, per square mile, live in Detroit verses Grand Rapids? Round to the nearest
person per square mile.
Answers
Answer:
401 more people per square mile
Step-by-step explanation:
Find how many people there are per square mile in both cities by dividing the number of people by the number of square miles:
672,800/142.9
= 4708 people per square mile (Detroit)
195,100/45.3
= 4307 (Grand Rapids)
Find how many more people per square mile live in Detroit by finding the difference between these two numbers:
4708 - 4307
= 401
So, there are 401 more people per square mile living in Detroit versus Grand Rapids.
Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams.
Required:
Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
Answers
Answer:
CI ≈ (173.8 < μ < 196.2)
Step-by-step explanation:
We are told that laboratory tested twelve chicken eggs. Thus;
n = 12
Mean; x¯ = 185 mg
S.D; s = 17.6 mg
DF = n - 1 = 12 - 1 = 11
We have a 95% confidence level. Thus; α = 0.05
Since n < 30, we will use t-sample test.
Thus, from t-table attached at 95% Confidence level and DF = 11, we have;
t = 2.201
Thus,formula for Confidence interval is;
CI = (x¯ - t(s/√n)) < μ < (x¯ + t(s/√n))
CI = (185 - 2.201(17.6/√12)) < μ < (185 + 2.201(17.6/√12))
CI = (185 - 11.1825) < μ < (185 + 11.1825)
CI = (173.8175 < μ < 196.1825)
CI ≈ (173.8 < μ < 196.2)
Need answers in 2 minutes ASAP
Answers
That would be my answer, although it kind of depends on what you are learning at the moment… hope this helps!
What is the
range of the function in the graph?
Answers
Answer:
Step-by-step explanation:
A resposta é a letra a
Sophia runs twice as fast as her friend Mia. If mia runs 3 mph how long will it tske sophia to run 6 miles? 9 miles?
Answers
Answer:
It will take Sophia 1 hour to run 6 miles.
And 1 1/2 hours for 9 miles.
Step-by-step explanation:
Identify the X intercept and the yIntercept of the line 4x-2y=-12
Answers
Answer:
X-intercept = -3 and y-intercept = 6
Step-by-step explanation:
We can start off by isolating the y term. To do that, we must add 2y to both sides to get
[tex]4x=2y-12[/tex]
Now, we must add 12 to both sides and the y term will be all alone on the right side:
[tex]4x+12=2y[/tex]
Now, to have only y on the right side, we must divide by 2 to get:
[tex]y=2x+6[/tex]
In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.
To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:
[tex]0=2x+6[/tex]
We can start off by subtracting 6 from both sides to get:
[tex]2x=-6[/tex]
We can then divide both sides to get [tex]x=-3[/tex] when y is equal to 0. Thus, we have our x-intercept.
Answer:
y-intercept= -6
x-intercept= 3
Step-by-step explanation:
First, rearrange the equation to be in y=mx+b.
4x-2y=12
4x-12=2y
(1/2)(4x-12)=y
y=2x-6
From here, we know that the 'b' in an equation in form y=mx+b is the y-intercept, which is -6.
To find the x intercept make y=0 and solve.
You can also solve without rearranging the equation and simply making x=0 and solving to find the y-intercept. and making y=0 and solving to find the x-intercept.
The average of a group of data points is called the
Answers
Answer:
mean
Step-by-step explanation:
The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order. If a data set has an even number of values, the median is the mean of the two middle values.
Which statements are true of functions? Check all that apply.
Answers
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
(x+1).(x/2 +2).(x/3+3).(x/4+4).(x/5+5)
Answers
Answer:
Please see the attached picture below to understand the steps I've typed to get to the final solution.
What is the missing digit?
820,107
– 65□,084
167,023
Answers
We can get this answer by subtracting the answer 167,023 from 820,107, we get 653,084.
the perimeter of a square room is 48m,how much square carpet is requried to cover it ?
Answers
Answer:
144
Step-by-step explanation:
perimeter of square=48 ( formula= 4*a )
a= 48/4
= 12
area= a*a
=12*12
=144
