find the probability of making a five digit number form 2,3,4,7,8 in such a way that 7 is the first number and 8 is the last number
Answer:
n(E) = 6
Step-by-step explanation:
That's to say that there are 6 five-digit numbers with 7 in the first place and 8 in the last place, using the digits 2, 3, 4, 7 and 8. Therefore n(E) = 6.
Find an equation of the plane.
The plane that contains the line
x = 3 + 2t,
y = t,
z = 6 − t
and is parallel to the plane
2x + 4y + 8z = 16
Answer:
x +2y +4z = 27
Step-by-step explanation:
The parallel plane will have the same coefficients of x, y, z as the given plane. We notice those have a common factor of 2, so the equation can be reduced to ...
x +2y +4z = constant
This equation is satisfied for every point on the line, so we have ...
(3 +2t) +2(t) +4(6 -t) = constant . . . . . substituting for x, y, z
3 +2t +2t +24 -4t = constant
27 = constant
The equation of the desired plane is ...
x +2y +4z = 27
The normal to the given plane is (2, 4, 8), and the plane we want is parallel to this one so it has the same normal vector.
When t = 0, the given line, and thus the plane we want, passes through the point (3, 0, 6).
Then the equation of the plane is given by
(2, 4, 8) • (x - 3, y - 0, z - 6) = 0
2 (x - 3) + 4y + 8 (z - 6) = 0
2x + 4y + 8z = 54
or
x + 2y + 4z = 27
How do I simplify the ratio of
42 : 28 : 21
Answer:
6:4:3
Step-by-step explanation:
each can be divided by 7
Answer:
6 4 3
Step-by-step explanation:
(5x + 3) + (9x + 5)
Help!!!!!!!
If a person walks 1/3 mile in 15 minutes, how far will that person walk in one hour?
Answer: 1 1/3 miles
Step-by-step explanation:
Since we know that an hour is 60 minutes, and 60 divided by 15 = 4, then we can multiply 1/3 times 4 to get the total number of miles in 60 minutes.
1/3 X 4 = 4/3
4/3 = 1 1/3
Therefore, the answer is 1 1/3 miles.
Therefore, in an hour, a person will walk 4/3 mile.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
KisthemidpointofJL. If JK = 3x and KL = x + 8, what is JK?
Given: JK = 3x - 5, KL = 2x + 1
The sum of the segments JK and KL will equal the length of the segment JL = 16
So we can write:
3x - 5 + (2x + 1) = 16 [JK + KL = JL]
Collect terms, solve for x:
5x - 4 = 16
5x = 20
x = 4
JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7
Ans: 7
Determine if the data below represents a function. Explain your reasoning. (3, 2), (4,7), (8, 12). (10, 15)
Answer:
the data that is shown represents a function
Step-by-step explanation:
the easiest way to know is by looking at the x-variable. Each y-variable needs one x-variable. the x-variable should not be seen paired with another y-variable.
SOMEBODY HELP NO LINKS PLZ AND THANK YOU
given the table below which function shos an exponential function
table
x f(x) g(x) h(x)
1 64 65 5
2 32 54 7
3 16 43 10
4 8 32 14
A f(x)
B g(x)
C h (x)
D none of the above
5) The solution to 7X2 + 2X – 1 = 0 can be written as:
Answer:
2/7 or -30/7
Step-by-step explanation:
Use the quadratic formula
a = 7, b = 2, c = -1
-2 + or - (sqrt (2^2 - 4 * 7 * -1) / 2 * 7
-2 + or - 32/14
-2 + or - 16/7
2/7, or -30/7
Answer:
Step-by-step explanation:
7x² + 2x - 1 = 0
x = (-2 ±[tex]\sqrt{2^2 - 4(7)(-1)}[/tex] )/ (2(7))
x = (-2 ± [tex]\sqrt{32}[/tex] ) /14
x = (-2 ± 4[tex]\sqrt{2}[/tex] ) /14
x = [tex]\frac{-1}{7}[/tex] ± [tex]\frac{2}{7}[/tex][tex]\sqrt{2}[/tex]
Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get
Answer:
67 quarters
Explanation:
An element with mass 330 grams decays by 25.5% per minute. How much of the
element is remaining after 5 minutes, to the nearest 10th of a gram?
Answer:
After 5 minutes, it remains 75.73 grams of mass.
Step-by-step explanation:
Each minute, the mass is decreased by a 25.5%. So, we can find the mass after each minute period.
First minute.
330gr - 0.255 (330gr)= (330 - 84.15)gr = 245.85gr
Second minute.
245.85 - 0.255 (245.85) = 245.85 - 62.69 = 183.16gr
Third minute.
183.16 - 0.255 (183.16) = 183.16- 46.70= 136.45gr
Fourth minute.
136.45- 0.255 (183.16) - 136.45 - 34.80= 101.65gr
Fifth minute.
101.65 - 0.255 (101.65)= 101.65 - 25.92= 75.73gr
Therefore, after 5 minutes, it remains 75.73 grams of mass.
Nineteen less than twice a number is greater than the number added by four
Answer:
2x - 19 + x + 4
Step-by-step explanation:
2x - 19 + x + 4
Expression 26-(-17)can be rewritten as
Hey there!
The expression 26-(-17) can be rewritten as
26+17
Remember:
a-(-b)=a+bHope it helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who is preparing for the New Year's Day
Good luck. :-)
Help me with this question
Answer:
I don't have any idea of that question
Step-by-step explanation:
I'm sorry
Simplify 4.510. (25 points)
a
4.51
b
1
c
0
d
−1
Answer:
A-4.51
Step-by-step explanation:
I was going to ask to what place but then I saw all the others wouldn't make sense.
Which ones colder?
-5 degrees Celsius or
-10 degrees Celsius
Answer:
-10 degrees Celsius
Step-by-step explanation:
The more negative a temperature in degrees Celsius is, the colder it is.
45+45-45+45-45+65+275÷92×50
Answer:
[tex]259 \frac{21}{46}[/tex]
Step-by-step explanation:
In order to solve this question we will need to use BODMAS to help us get a reasonable answer. If you don't know what BODMAS is it stands for:
B: Brackets
O: Orders
D: Division
M: Multiplication
A: Addition
S: Subtraction
First Step:
1. [tex]275/92*50[/tex]
First we multiply 50 by 275. Then we divide this result by 92.
[tex]275/92*50=6875/46[/tex]
Second Step:
2. [tex]45+45-45+45-45+65[/tex]
Now lets subract and minus and such that we get 110.
[tex]110[/tex]
Third Step:
Now we combine both these value and we get [tex]259 \frac{21}{46}[/tex]
The area of a square is s2, where s is the side length of the square. Jack has a square-shaped flower garden in his yard. Each side of the garden is 8 feet. What is the area of the flower garden?
Answer:
64 square feet
Step-by-step explanation:
A = s² = 8² = 8*8 = 64
Determine the slope from the given graph below:
A • The slope is 5
B • The slope is -1/5
C • The slope is 7
D • The slope is -7
(I’ll give brainliest <3)
Slope is the change in Y over the change in x.
Use 2 points on the graph(x,y) to use to solev6.
(2,3) and (0,-7)
Slope = (-7 -3) / (0-2)
Slope = -10/-2
Slope = 5
Answer: A the slope is 5
Can you please help me with number 16
Use the Pythagorean Theorem to find the distance, to the nearest tenth, between F(9,5) and G(-2, 2).
Answer:
Step-by-step explanation:
d = √((9 -(-2))² + (5 - 2)²)
d = √(11² + 3²)
d = √130
d = 11.401754250...
d = 11.4 units
Answer:
11.4 to the nearest tenth.
Step-by-step explanation:
Distance = sqrt((5-2)^2 + (9-(-2))^2)
= sqrt(3^2 + 11^2)
= sqrt 130
= 11.402
Sort the sequences according to whether they are arithmetic, geometric, or neither.
Answer:
arithmeticneithergeometricarithmeticgeometricStep-by-step explanation:
Arithmetic sequences have a common difference. Often, checking for that is the easiest. Geometric sequences have a common ratio. If there is neither a common difference nor a common ratio, then the sequence is not one of these types.
The difference or ratio refers to the relation of a term in the sequence to the one before it. For example, 94.1 -98.3 = -4.2. If the same difference exists for subsequent pairs of terms, then the difference is said to be "common." Likewise, 3.5/1.75 = 2. If the same ratio exists for subsequent pairs of terms, it is a "common" ratio.
__
98.3, 94.1, ... -- arithmetic (common difference = -4.2)
1, 0, -1, 0, ... -- neither
1.75, 3.5, ... -- geometric (common ratio = 2)
-12, -10.8, ... -- arithmetic (common difference = -1.2)
-1, 1, ... -- geometric (common ratio = -1)
Answer: Arithmetic (98.3,94.1, 89.9, 85.7,...) (-12,-10.8, -9.6,-8.4)
Geometric (1.75,3.5,7, 14) (-1,1,-1,1,...)
Neither (1,0,-1,0,...)
Step-by-step explanation:
I guarantee these are correct.
if susan subtracts 14 from one third of her number she gets 2
Answer:
Step-by-step explanation:
2 + 14 = 16 x 3 = 48
An investor makes an investment of $1,000,000.00 to buy a small, select service hotel in Daytona Beach. She achieves a
$200,000 profit on that investment. In this example, what was her ROI?
Anyone??
Answer:
In terms of %, it's 20%.
Step-by-step explanation:
Used an ROI calculator:
Find the value of y 7=6+y
Answer:
y is 1
Step-by-step explanation:
6+1=7, so 7 is = to 6+1
help me please please
Answer:
C? yikes if im wrong mb
Step-by-step explanation:
5/6 in simpliest, its C id have to assume
What is the range of the function y=Vx+5?
Answer:
[tex]y\geq-5[/tex]
Step-by-step explanation:
Because [tex]x+5[/tex] cannot be negative, then [tex]x=-5[/tex] has to be the absolute minimum of the function given its domain. Therefore, all real values of x greater than -5 are all values that exist in the function's range.
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below.
81 71 202 113 269 248 242
Find the median number of newspapers sold.
CE
O A. 242 newspapers
OB 175 newspapers
OC. 113 newspapers
OD. 202 newspapers
OD Step-by-step explanation:
The median of the of the number of newspapers sold by shopkeeper is 202 .
Given,
A store manager kept track of the number of newspapers sold each week over a seven-week period.
81 71 202 113 269 248 242.
Now,
The median of the dataset is the middle value of the dataset, which means that 50 % of the values are below the mean and 50% of the values are above the mean.
Rearrange the dataset in ascending order as
71, 81, 113, 202, 242, 248, 269.
Thus the median will be the 4th value.
Hence the median will be 202.
Thus the correct option will be 202 Newspapers.
Know more about median,
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please need help with this Calculus question
sin(3x)+sin(x)=0 solve for x
Answer:
[tex]x=k\frac\pi2; k\in \mathbb{Z}[/tex]
Step-by-step explanation:
Let's use the formulas that change a sum of two sines into a product:
[tex]sin\ p + sin\ q =2 sin{\frac{p+q}2}cos{\frac{p-q}2}[/tex]
[tex]sin 3x+sinx =2sin \frac{3x+x}2 cos \frac{3x-x}2 = 2(sin2x)(cosx)=0[/tex]
At this point it's either [tex]sin 2x =0 \implies 2x= k\pi \rightarrow x = k\frac{\pi}2[/tex]
or [tex]cosx=0 \rightarrow x=\frac\pi2+ k\pi = (2k+1)\frac\pi2[/tex]
with the usual condition of [tex]k\in \mathbb{Z}[/tex].
Now if you look at both sets of solutions, first one considers all multiples of [tex]\frac\pi2[/tex], while the second only the odd multiples. it means that the first includes the second.