Step-by-step explanation:
6x = 33
or, x=33/6
x=5.5
(a) Find and identify the traces of the quadric surface x2 + y2 − z2 = 81 given the plane. x = k Find the trace.
Answer:
Hyperbola
Step-by-step explanation:
Consider [tex]x=k.[/tex]
Substitute [tex]x=k[/tex] in given equation [tex]x^2+y^2-z^2=81[/tex]
[tex]k^2+y^2-z^2=81[/tex]
[tex]\Rightarrow y^2-z^2=9^2-k^2[/tex]
[tex]\Rightarrow y^2-z^2=(9-k)(9+k)[/tex]
Here, different orientation for [tex]-9<k<9[/tex] then [tex]-9<k[/tex] or [tex]k<9.[/tex]
Hence, the surface equation represents a trace of the hyperbola.
Choose the best description of the following number 18
Answer:
4.243
step by step explanation:
Six more than the product of three and a number
Answer:
6+3x
Step-by-step explanation:
A number will be given the variable x
So:
6+(3x)Answer:
3x + 6.
Step-by-step explanation:
The number is x.
Solve the following function. Show all work.
If g(x) = – 3x + 2, find g(–4).
PLEASE HELP FAST
The city council budgeted $536 to buy new garbage cans. If each garbage can costs $67, how
many garbage cans will the city be able to buy?
garbage cans
Submit
Answer:8 garbage cans
Step-by-step explanation:
The budget is $536 and each garbage can is $67 so you need to divide $536 by $67 and the answer is 8.
One rectangle is divided into 4 parts how much is one part
This question is unanswerable unless the answer is 1/4 rectangle.
Hamburgers come in packs of 20, while buns come in packs of 12 what is the least number of packs you should buy in order to have the same numbers of hamburgers and buns?
Need help on this question please
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Explanation:
Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.
The two angles form a 180 degree straight angle
(4x+13) + (9x-2) = 180
4x+13 + 9x-2 = 180
(4x+9x) + (13-2) = 180
13x + 11 = 180
13x+11-11 = 180-11 .... subtracting 11 from both sides
13x = 169
13x/13 = 169/13 .... dividing both sides by 13
x = 13
We can verify this by noticing that
4x+13 = 4*13+13 = 65
9x-2 = 9*13-2 = 115
So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.
-----------------
The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary
Let's use x = 13 to find the value of y
(9x-2) + (6y-1) = 180
9x-2+6y-1 = 180
9x+6y-3 = 180
9*13+6y-3 = 180 .... plug in x = 13
117+6y-3 = 180
6y+114 = 180
6y+114-114 = 180-114 .... subtract 114 from both sides
6y = 66
6y/6 = 66/6 ...... divide both sides by 6
y = 11
To help confirm,
6y-1 = 6*11-1 = 65
which adds onto the (9x-2) = 115 degree angle to get 180.
-----------
Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.
4a=23 Solve the equation. 4a=23 a=
Answer:
4a=23
4a/4 = 23/4
a=5.75
Step-by-step explanation:
your cell phone plans costs$34.99 per month plus $0.11 for each text message you send or receive you have at most $40 to spend on your cell phone bill what is the maximum number of text messages that you can send or receive next month ?
The maximum number of text messages that you can send or receive next month Next month, you can send or receive up to 45.54 text messages in total.
What is maximum in mathematics?In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum
Considering the information provided;
Given that the monthly expense is $34.99
and $0.11 for each text as well (sent or received)
Suppose y is the whole cost.
Set x as the quantity of text.
The test messages make up the difference between the cost of the plan and the $40 you must spend, which is represented by the equation
4034.99=5.01
in the model for the overall cost,
y=34.99+0.11x.
Count the number of messages you can send, you must divide.
5.01÷0.11
=45.54
The maximum number of messages is 45
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Please help with this problem. Thanks.
Answer:
Acute, angle C = 13
Step-by-step explanation:
replace x with 9
multiply 12(9) = 108
subtract 108 -17 = 91
divide 91 by 7 = 13
[tex]m[/tex]∠[tex]C=13[/tex] so its acute
solve the equation
what does x equal to
46+x÷6−21=25+6
Answer:
×=36
Step-by-step explanation:
46+1/6X-21=31
25+1/6X=31
1/6X=31-25
1/6X=6
X=36
solve for z: 11=6|-2z| -5
Answer:
the roots are {-4/3, 4/3}
Step-by-step explanation:
Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:
11=6|-2z| -5 becomes 16 = 6|-2z|.
Dividing both sides by 12 yields
16/12 = |-z|
There are two cases here: first, that one in which z is positive and second the one in which z is negative.
If z is positive, 4/3 = -z, and so z = -4/3, and:
If z is negative, 4/3 = z
Thus the roots are {-4/3, 4/3}
What part of 15 is 10?
Answer:
2/3
Step-by-step explanation:
10/15=2/3
The 10 is 2/3 part of 15 by dividing common factor that is 5.
What is simplest form ?
In mathematics, the simplest form is the fraction that has the smallest equivalent value.
Here, the given fraction is :
10/15 which when converting to smallest equivalent value by dividing common factor that is 5 :
10/15 = 2/3
Therefore, the 10 is 2/3 part of 15.
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data was collected
Write the value of k for which the system of equations x+y-4=0 and 2x+ky-3=0 has no solution.
A. k=2
B. k=-2
C. k=1/2
D. k=-1/2
Do this.... Well it is easy.....
if you done this one I will ask question from physics
Thank You.... ✧༺♥༻✧
Answer:
c k=1\2......................
is 5x-7+3x and 3x-7+5x equivalent
Answer:
yes
Step-by-step explanation:
5x-7+3x =8x-7
3x-7+5x=8x-7
Since both result are the same, hence the functions are equal
Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.
For the function
5x-7+3x
= 5x+ 3x - 7
= 8x - 7
For the function 3x - 7 + 5x
Collect the like terms
3x + 5x - 7
8x - 7
Since both results are the same, hence the functions are equal
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In comparing different job opportunities, you found that firm A will start your salary at
RM25000 per year and guarantee you a raise of RM1200 each year while firm B will start
your salary at RM28000 per year but will guarantee you a raise of RM900 each year.
(a) In what year of service the yearly salary from both firm will be the same?
(b) In what year of service the total salary from both firm will be the same?
(c) Hence, state the firm for which you should choose if you plan to work for 25 years.
Answer: the answer i think is c
Find 60 percent of 199?
Answer: 79.60%, difference is 119.40
Step-by-step explanation:
Answer:
119.4
Step-by-step explanation:
199/100=1.99
1.99*60=119.4
Can anyone help me with my algebra homework please ?
Answer:
She will practice 2.5 for week four
Step-by-step explanation:
The table is going by 0.5 so I added 0.5 +2 =2.5
Explain what is wrong with the following (3 - 5)(4) = 3(4) - 5
Answer:
the equation does not proove
Step-by-step explanation:
l.h.s
(3-5)(4)
12-20
-8
r.h.s
3(4)-5
12-5
7
therefore, l.h.s is not equal to r.h.s so the equation is wrong
HELP! Due in 10 mins! Pls I rlly need this!!!
Please help me! Find the sale price
Answer:
sale price is $104
Step-by-step explanation:
Given the equation in the problem S=P-0.20P:S = P - 0.20PS = (130.00) - (0.20 · 130.00)S = 130-26S = $104Answer:
$104.00
Step-by-step explanation:
So we know that in the equation:
S = P - 0.20P
P is the original price and S is the sale price, which is also the original price reduced by 20%.
We are also given that the original price of a digital media player is $130.00.
We are asked to find the sales price of that digital media player. To do this, we can plug in $130.00 for P in the given equation, since it is the original price of the digital media player, and solve for S, the sales price:
S = 130 - (0.20)(130)
S = 130 - 26
S = 104
So now we found the sales price of the digital media player, which is $104.00.
I hope you find my answer helpful.
(HELP ASAP) Maria records her distance from home over time. The values are shown in the table below. Find her average speed over the first 4 hours.
Answer:
Step-by-step explanation:
Average=total distance/totaltime
=60+110+180+220/1+2+3+4
=570/10
=57miles/hour
6x4y 12xy2 6x5y3
What is the greatest common factor (GCF) of the monomials shown above?
Answer:
6xy
Step-by-step explanation:
GCF of the given monomials consists of 3 parts:
Constant coefficient = 6, 12, 6 ⇒ 6Variable x = degree 4, 1 and 5 ⇒ degree 1 Variable y = degree 1, 2 and 3 ⇒ degree 1Combined all, the greatest common factor is 6xy
6x⁴y = 6xy * x³12xy² = 6xy * 2y 6x⁵y³ = 6xy* x⁴y²Can someone help me with this question?
Answer:
6×2/5 --> greater than 1
1×3/8 --> less than 1
4×1/4 --> equal to 1
5×3/4 --> greater than 1
2×1/2 --> equal to 1
3×1/3 --> equal to 1
Step-by-step explanation:
6×2/5 = 12/5 = 2 2/5
1×3/8 = 3/8
4×1/4 = 1
5×3/4 = 23/4 = 5 3/4
2×1/2 = 1
3×1/3 = 1
If (7^ 0)=1what are the possible values of x
Answer: I would say that any number
Step-by-step explanation:
I think so because any number to the 0 power is going to be 1.
For example: 6^0=1 21^0=1
Hope it helped!! ;)
if x=3 and y= 2 cm what is the perimeter of the plygon
Answer:
where is the image then i will comment the ansewr thanks
Step-by-step explanation:
Answer:
99
Hope this helps you guys!
Choose the option that best completes the sentence.
The amount of energy it takes to lift a box might be a function of:
O A. the weight of the things inside the box.
O B. where the box was shipped from.
O c. the day of the week the box is being lifted.
D. the color of the box.
The correct sentence will be;
⇒ The weight of the things inside the box.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sentence is,
''The amount of energy it takes to lift a box might be a function of;''
Now,
Since, The sentence is,
''The amount of energy it takes to lift a box might be a function of;''
We know that;
The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.
Thus, The correct sentence is;
⇒ The weight of the things inside the box.
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One hundred four and twelve hundredths ___ One hundred four and two thousandths
Answer:
104.12 > 104.002
Step-by-step explanation: