Answer:
g(n) = [tex]\frac{11+5n}{3}[/tex]
Step-by-step explanation:
Given
3m - 5n = 11
Rearrange making m the subject
Add 5n to both sides
3m = 11 + 5n ( divide both sides by 3 )
m = [tex]\frac{11+5n}{3}[/tex] , thus
m = g(n) = [tex]\frac{11+5n}{3}[/tex]
The formula for volume of a rectangular prism is V=
Bh.
The variable B stands for the_
In this prism, B equals
_cm?
The variable h stands for
_cm
In this prism, h equals
_cm.
The volume of the prism is
_cm3
Answer:
see explanation
Step-by-step explanation:
B represents the area of the base
B = 12 × 2 = 24 cm²
h represents the height and in this prism h = 9 cm
V = Bh = 24 × 9 = 216 cm³
Answer:The variable B stands for the (1)
In this prism, B equals in.2. (1)
The variable h stands for (2)
In this prism, h is in. (2)
The volume of the prism is (3)
Step-by-step explanation: hope you live good! (I got bored with hope this helps In case you were wondering)
A polynomial function has a root of 5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If th
function has a negative leading coefficient and is of even degree, which statement about the graph is true?
O The graph of the function is positive on (-0, -5).
O The graph of the function is negative on (-5, 3)!
O The graph of the function is positive on (-0, 1).
O The graph of the function is negative on (3,co).
Answer:
The graph of the function is negative on (3,0)
Step-by-step explanation:
The limiting behavior of a function describes how a function behaves as x ⇒ ±∞. Its behavior is determined by the degree of a polynomial and the sign of its leading coefficient.
Since the function [f(x)] is an even degree polynomial with negative leading coefficient, then f(x) ⇒ -∞ as x ⇒ ±∞. The graph of the function is negative at the root. Since it has a root of 3, The graph of the function is negative on (3,0)
Answer:
The graph of the function is negative on (3, infinity) The answer is D
Step-by-step explanation:
A sun ray forms a 60° angle with the ground. The reflection of the sun off of a lake forms a 120° angle with the ground. Angela
wants to find the measure of the angle formed by the sun ray and the sun reflection, so she drew the picture below.
sun
ray
sun
reflection
60
Ground
Lake
So, the measure of the angle formed by the sun ray and the sun reflection is
Answer:
60
Step-by-step explanation:
Factor out completly: 6x^2y − 3xy − 24xy^2 + 12y^2
---------------------------------------------------------------------
6x^2y − 3xy − 24xy^2 + 12y^2
Apply exponent rule:
6x^2y-3xy-24xyy+12yy
Rewrite 12 as 4*3
Rewrite -24 as 8*3
Rewrite 6 as 2*3
2*3x^2y-3xy+8*3xyy+4*3yy
Factor out common term 3y:
3y(2x^2-x-8xy+4y)
Factor 2x^2-x-8xy+4y:
3y(2x-1)(x-4y)
Your Answer Is 3y(2x-1)(x-4y)
plz mark me as brainliest if this helped :)
The factor of 6x²y − 3xy − 24xy² + 12y² is 3y(2x - 1)(x - 4y)
Given:
6x²y − 3xy − 24xy² + 12y²
find the highest common factor of all the coefficient of each term
6 = 1, 2, 3, 6
6 = 1, 2, 3, 63 = 1, 3
6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 24
6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 2412 = 1, 2, 3, 4, 6, 8, 12
The highest common factor of all the coefficient of each term is 3
So,
6x²y − 3xy − 24xy² + 12y²
= 3y(2x² - x - 8xy + 4y)
(2x² - x - 8xy + 4y) can also be factorised further(2x² - x - 8xy + 4y) = (2x - 1)(x - 4y)
Therefore,
6x²y − 3xy − 24xy² + 12y = 3y(2x - 1)(x - 4y)
Read more:
https://brainly.com/question/16504783
Write an equation for the nth term of the arthmetic sequence 22,15,8,1
Answer:
17
Step-by-step explanation:
I got this right on a test i did 4 days ago
49 points!!!!
..................................
Answer:
Tell me if its blurry i can send it to you again
Step-by-step explanation:
Answer:
Yeah just look at the other answer i got that answer also
Step-by-step explanation:
Solve the given equation for x.
8-6/5x=10
Answer:
x = -5/3
-1.667
Step-by-step explanation:
The plotted point represents the depth of a scuba diver
in feet How far beneath the water's surface is the
diver?
-20
it
-21
Answer: —20.7
Step-by-step explanation: Got it right the assignment
Answer:
-20.7
Step-by-step explanation:
did the assignment and got it right good luck <3
HELP PLEASE
which material in the picture above reflects the most light?
and
which material in the picture above absorbs the most light?
Answer:
A. Opaque materials
B. Transparent materials
C. Translucent and Opaque materials
D. Transparent and Translucent materials
Rearrange the equation so m is the independent variable. -2m-5n=7m-3n
Please answer FAST
Answer:
[tex]n=-4.5m[/tex]
Step-by-step explanation:
solve for n so that m becomes the independent variable
[tex]-2m-5n=7m-3n[/tex]
[tex]-5n=9m-3n[/tex]
[tex]-2n=9m[/tex]
[tex]n=-4.5m[/tex]
The attachment below!!!
The height of the prism is 15 inches. Find the volume of the prism.
Answer:
187.5
Step-by-step explanation:
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
!
Answer: 8 (Pi - sqrt(3))
Discussion:
The area of the shaded region is that of the semicircle minus the area of the triangle..
Area of semicircle = 1/2 * Pi * R^2
Where R^2 is the square of the radius of the circle. In our case, R ( = OC)
= 4 so the semicircle area is
(1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi
Area of triangle.
First of all, angle ACB is a right angle ( i.e. 90 degrees).
* This is the Theorem of Thales from elementary Plane Geometry. *
so by Pythagoras
AC^2 + BC^2 = AB^2
But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).
Substituting these in Pythagoras gives
AC^2 + 4^2 = 8^2 or
AC^2 = 8^2 - 4^2- = 64 - 16 = 48
Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)
We are almost done! The area of the triangle is given by
(1/2) b * h = (1/2) BC * AC = (1/2) 4 * (4 * sqrt(3)) = 8 sqrt(3)
We conclude the area area of the shaded part is
8 PI - 8 sqrt(3) = 8 (Pi - sqrt(3))
Note that sqrt(3) is approx 1.7 so (PI - sqrt(3)) is a positive number, as it better well be!
Need help with maths
Answer:
a) 48
b)
c) 13, 23, 43,
Step-by-step explanation:
since i helped you with a and c, try and figure out b on your own.
i will give you a link if you want it so you can watch a video on how to find square numbers
Answer:
a) 48
b) 81
c) 13, 23, 43
Step-by-step explanation:
[tex]\sqrt{81} =9[/tex]
Answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
Answer:
Step-by-step explanation:
3a - 5 = -4b + 1
3a = -4b + 6
a = (-4b + 6)/3
h(a) = (-4b + 6)/3
Answer:
h(a) = [tex]\frac{6-3a}{4}[/tex]
Step-by-step explanation:
Given
3a - 5 = - 4b + 1
Rearrange making b the subject
Add 4b to both sides
4b + 3a - 5 = 1 ( add 5 to both sides )
4b + 3a = 6 ( subtract 3a from both sides )
4b = 6 - 3a ( divide both sides by 4 )
b = [tex]\frac{6-3a}{4}[/tex] , thus
h(a) = [tex]\frac{6-3a}{4}[/tex]
How many terms are in the expression 2x + 3x + 4 + 2y?
Answer:
7 terms
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. ... Examples of single terms: 3x is a single term.
Answer:
its 4 terms
the coefficients are numbers combined with the variable and 4 is also a term
What are the values of X for which the denominator is equal to zero for y=x^2+3/x^2+2
Answer:
16=x
Step-by-step explanation:
Solve for x in the equation x^2-4x-9=29
Answer:
x = 2 + √ 42 , 2 − √ 42
Decimal Form:
x = 8.48074069 , − 4.48074069
Step-by-step explanation:
Solve the equation for x by finding a , b , and c of the quadratic then applying the quadratic formula.
What’s the best estimate?
Answer:
A 4
Step-by-step explanation:
the given numbers round off to 11 and 3. 11/3 is a bit less than 4. Answer A (4) is the best approximation of the answers given.
Answer:
4
Step-by-step explanation:
KFC
first convert it into improper fraction
56/5 divided by 11/4
then do KFC
56/5 times 4/11
224/55
then you divide 224 by 55
which gives you 4
can you put 92 80 88 100 94 98 72 80 94 86 in order
Answer:
72,80,80,86,88,92,94,98,100
Step-by-step explanation:
Answer:
72,80,80,86,88,92,94,98,100
Step-by-step explanation:
72,80,80,86,88,92,94,98,100
The answer is above.
Least to greatest in order
Hope this helps.
What tone do the underlined phrases help to create
Answer:
restless and nervous (not sure doe)
Step-by-step explanation:
I did the quiz! <3
Answer:
Restless and Nervous.
Step-by-step explanation:
I did the quiz and got it right.
5. A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles
as shown whose centers are connected to form a square. The ornament, both circular and square portions, is
made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.
(a) Determine the total length of the circular portions in terms of
pi. Show the work that leads to your answer.
(b) Determine the total length of wire needed, both circular and
square portions, to the nearest tenth of an inch.
G
(c) Determine the total weight of the ornament to the nearest
gram.
Answer:
(a) 12π in
(b) 53.5 in
(c) 96 grams
Step-by-step explanation:
In the figure attached, the ornament is shown
(a) four three-quarter circles is equivalent to 4*3/4 = 3 circles. The perimeter of a circle is the total length of the circular portions.
Perimeter of each circle: 2*π*r
The radius is 2 in long, then for 3 circles:
Perimeter = 3*2*π*2 = 12π in
(b) Perimeter of square: 4*side length
The side length of the square is 4 in, then:
Total length of wire needed = 4*4 + 12π = 53.5 in
(c) The wire weighs 1.8 grams per inch, then:
total weight of the ornament = 1.8 grams/in * 53.5 in = 96 grams
Find the surface area of the cylinder in terms of π
Answer:
304 pi in ^2
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2 pi r^2 + 2 pi rh where r is the radius and h is the height
SA = 2 * pi * 8^2 + 2 * pi * 8 * 11
SA = 128 pi + 176 pi
SA =304 pi
Answer: 304 pi
Step-by-step explanation:
Which type of transformation must have occurred in order to map triangle RST to its image, triangle R'S'T?
Answer:
Reflection over the y axis
Step-by-step explanation:
You can picture this graph on a piece of paper. If you fold the paper over the y axis/ the line in the middle, T would map onto T', S onto S' and R onto R'. This is a reflection
easy question.. giving brainliest
x/16 = 10/36
x=_
Answer:
x=40/9
Step-by-step explanation:
[tex] \frac{x}{16} = \frac{10}{36} |first \: you \: cross \: multiply| \\ x(36) = 16(10) |open \: bracket | \\ 36x = 160 |divide \: both \: side \:by \: 36 | \\ \frac{36x}{36} = \frac{160}{36} \\ x = \frac{40}{9} [/tex]
What is cos θ if sin θ = −8/10 and θ is in Quadrant III?
Answer:
Drawing out the quadrants cos of an angle is negative in the third quadrant. Your drawing should indicate that x and y are negative. Then since we are working with a right triangle, again your diagram should indicate that. Determine the value of the third side. You know one is - 6 and the other opposite the 90 degree angle, the hypotenuse is 10. cos of an angle is adjacent divided by the hypotenuse.
I hope this helps if it did not help use this
cosine is negative in Quadrant III.
Use a pythagorean theorem to find the other leg. a2 = c2 - b2
adjacent leg = √(102 - 82)
cos θ = -6/10
To catch a frisbee, a dog leaps into air with an initial velocity of 14 feet per second. Write a model for the height of the dog above the ground. After how many seconds does the dog land on the ground?
Answer:
Model: [tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]
The dog land on the ground after 0.8706 seconds.
Step-by-step explanation:
The model that said the height of the dog above the ground is a model of uniform acceleration motion, so it is:
[tex]y = y_0+v_0t+\frac{1}{2}gt^{2}[/tex]
Where [tex]y_0[/tex] is the initial height, [tex]v_0[/tex] is the initial velocity and [tex]g[/tex] is the gravity.
So, replacing [tex]y_0[/tex] by zero, [tex]v_0[/tex] by 14 feet per second and [tex]g[/tex] by [tex]32.16 ft/s^2[/tex], we get that the model for the height of the dog above the ground is:
[tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]
Then, the time t when the dog land on the ground is calculated replacing [tex]y[/tex] by zero and solving for t as:
[tex]y = 14t+\frac{1}{2}(32.16)t^{2}\\0 = 14t+\frac{1}{2}(32.16)t^{2}\\0 =t (14 - 16.08t)[/tex]
Now, we have two possible solutions:
[tex]t=0[/tex] or [tex]14-16.08t=0[/tex]
Taking into account that t=0 is the time when the dog leaps into air, the time when the dog land on the ground is equal to 0.8706 seconds and it is calculated as:
[tex]14-16.08t=0\\14=16.08t\\\frac{14}{16.08}=t\\t=0.8706[/tex]
John recently purchased $4,897.00 worth of a stock that is expected to grow in value by 9% each year for the next ten years. Assuming this growth forecast holds, which function will show the value of John's stock in t years?
A.
A(t) = $4,897(1.11)t
B.
A(t) = $4,897(1.09)t
C.
A(t) = 1.09($4,897)t
D.
A(t) = $4,897(1.09)(t)
Answer:
Step-by-step explanation:
B
Answer:
B
This is true because the value increases from the initial value.
So it is 109%
So you multiply by 1.09
A shop is having a sale.
All items are reduced by 30%
Work out the sale price of an item normally priced at £110
Answer:
77
Step-by-step explanation:
10%=11
because you divide 110 by 10.
Then i would multiply that by 3, giving you 33
110-33=77
The sale price of an item normally priced at £110 is £77.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that all items are reduced by 30% on a sale.
An item that normally priced at £110 reduced by 30%.
So, 30 percentage of £110
= 30% of £110
= 110×30/100
= 3300/100
= 33.
Therefore, the sale price of an item normally priced at £110 is £77.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
After triangle ace is dilated by a factor of 5, it has an area of 100 square inches. What was its area before dilation?
Answer:
20in^2
Step-by-step explanation:
Since you multiply the original area of the triangle by the scale factor to get the new area, you can find the original area (before dilation) by dividing the dilated triangle's area by the scale factor. Since 100 is the area of the dilated triangle, and 5 is your scale factor, you do 100/5 to get the area of the triangle before it was dilated.
−12−1282÷42=
I just need the answer. Thanks
Answer:
13.5 rounding
Step-by-step explanation:
PEMDAS
-128/2=-64
-64/42=-1.5
-12-1.5=13.5