Answer:
1272 feet²
Step-by-step explanation:
Breadth (Width) = 24 feet
Length = (24 × 2) + 5
= 48 + 5
= 53 feet
Area = Length × Breadth
Area = 53 × 24
= 1272 feet²
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
Mr.Hickory’s Tree farm spent $2,300 on seeds and supplies to grow 80 trees. Write an inequality to determine how much Mr. Hickory needs to charge for each tree in order to make a profit of at least $2500.
Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500
Let x represent the amount of money charge for each tree.
The cost of growing the trees is $2300.
The revenue = 80x
Profit = Revenue - cost
Hence, to make a profit of at least $2500:
80x - 2300 ≥ 2500
80x ≥ 4800
x ≥ 60
Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500.
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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.
Which of the following numbers are composite?
6,14,25,30,52
Answer:
All of them are composite
Step-by-step explanation:
In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers.
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:
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
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
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
Help me with this question
Answer:
I don't have any idea of that question
Step-by-step explanation:
I'm sorry
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.
Please help mee!
no links :(
Answer:
a=0.62, b=7/9, c=10/9
Step-by-step explanation:
Brainliest would be appreciated
Answer:
B, if its not b then its C.
Step-by-step explanation: hope this is correct and helps you!
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
please need help with this Calculus question
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.
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. :-)
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.
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:
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 the value of y 7=6+y
Answer:
y is 1
Step-by-step explanation:
6+1=7, so 7 is = to 6+1
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
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:
Multiply:
5m^3 n^5 (25m^6 n)
A. 125m^18n^10
B. 30m^9 n^5
C. 30m^9 n^6
D. 125m^9 n^6
Answer:
D
Step-by-step explanation:
5m^3 n^5 (25m^6 n)
-->5m^3*25n^6m^6
-->125m^9 n^6
if susan subtracts 14 from one third of her number she gets 2
Answer:
Step-by-step explanation:
2 + 14 = 16 x 3 = 48
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]
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.
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.
(5x + 3) + (9x + 5)
Help!!!!!!!
One-half of one-seventh of T equals one-third of one-fifth of 90. What is the value of T
Answer:
Step-by-step explanation:
This is the equation. Read it carefully.
1/2 * 1/7 T = 1/3 * 1/5 * 90 Reduce
(1/14) * T = 1/15 * 90
1/15 * 90 = 6
(1/14)*T = 6 Multiply both sides by 14
T = 14 * 6
T = 84
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]
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.
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