Answer:
[tex]y=0.25x-0.5[/tex]
Step-by-step explanation:
Firstly, the slope is [tex]\frac{3}{12} = 0.25[/tex], then you get the expression of the line.
Evaluate 7y - 2
when y = 9
Answer:
The answer is 61.
Step-by-step explanation:
7(9)-2
63-2
61
Answer:61
7*(9)-2
63-2
61
Hope it's useful
x-1/x^2 - x - 20 Give the equivalent numerator if the denominator is (X - 5)(x + 4)(x + 3)
x^2 + 2x + 3
x^2 + 2x - 3
x^2-3
Answer:
[tex]x^2+2x-3[/tex]
Step-by-step explanation:
Note that [tex]x^2-x-20=(x-5)(x+4)[/tex], so, if the denominator is [tex](x-5)(x+4)(x+3)[/tex], we need to multiply the numerator by [tex](x+3)[/tex]. And [tex](x-1)(x+3)=x^2+2x-3[/tex].
what is the coefficient of x in the equation?
y=x+4
Answer:
1
Step-by-step explanation:
When a variable does not have a visible coeffecient then the coefficient is 1. (Double check to make sure I'm correct)
How do you solve the following word problem
A small radio transmitter broadcasts in a 49 mile radius. If you drive along a straight line from a city 67 miles north of the transmitter to a second city 63 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
I must give the answer in miles and am unclear as to what equations to use and need details on what equations to use to get to the correct answer.
thanks for any help.
M
Answer:
Step-by-step explanation:
Let the transmitter be located at (0,0)
The equation for its effective coverage area will be a circle centered at (0,0) with a radius of 49.
So....the equation is
[tex]x^2 + y^2 = 49^2[/tex]
[tex]x^2 + y^2 = 2401[/tex]
Let the point 67 miles north of the transmitter be (0, 67)
Let the point 63 miles east of the transmitter be (63, 0)
The line connecting these (the line of travel) will have a slope of
[67 - 0] / [ 0 - 63] = -67/63
The equation of this line will be: y = (-67/63)x + 67
The signal will be received between the points:
(21.681, 43.942) and (45.192, 18.938)
The distance between these points is
[tex]\sqrt{[ ( 45.192 - 21.681)^2 + ( 43.942 - 18.938)^2 ] } = 34.322 miles[/tex] (1)
The distance between (0, 63) and (67, 0)
[tex]\sqrt{[ ( 63)^2 + ( 67)^2 ] }=91.97miles[/tex] (2)
So....you will receive the signal using (1)/ (2)
(34.322 / 91.97) x 100 ≈ 37% of the drive
Simplify -1-5/2-12
Divide: -27/10 divide 18/75
PLEASE HELP AND VERY FAST
Answer:
B
Step-by-step explanation:
I am so sorry if that is incorrect
5 more than the product of 12 and 8 as a numerical expression.
Answer:
(12x8) + 5
Step-by-step explanation:
The product of 12 and 8 would be multiplication, so you can represent that as
(12x8) or 12x8
"5 more" simply means addition
So if you were to put all that together as a numerical expression it would be
(12x8) + 5
Hope this helps!
The radius of a circle is 7 centimeters. What is the circle’s circumference?
Use 3.14 for pi
Answer:
43.96
Step-by-step explanation:
Circumference formula: 2 x r x pi
2 x 7 x 3.14= 43.96
Factor each expression:
27+12
12+36
16+20
2x+8
30+12x
42x+49
Middle school students were asked how they got to school each morning. There were 375 students who said they rode the bus. This number represents 60 percent of the school enrollment. How many students are enrolled?
Answer:
give me 1 second to answer with the correct answer
how would I do linear expression
Answer:
Linear expression is linear equations
Step-by-step explanation:
What is the answer
5+7+9+8=
Answer:
29
Step-by-step explanation:
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y
Answer:
[tex]Volume = \frac{384}{7}\pi[/tex]
Step-by-step explanation:
Given (Missing Information):
[tex]y = x^\frac{3}{2}[/tex]; [tex]y = 8[/tex]; [tex]x=0[/tex]
Required
Determine the volume
Using Shell Method:
[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]
First solve for a and b.
[tex]y = x^\frac{3}{2}[/tex] and [tex]y = 8[/tex]
Substitute 8 for y
[tex]8 = x^\frac{3}{2}[/tex]
Take 2/3 root of both sides
[tex]8^\frac{2}{3} = x^{\frac{3}{2}*\frac{2}{3}}[/tex]
[tex]8^\frac{2}{3} = x[/tex]
[tex]2^{3*\frac{2}{3}} = x[/tex]
[tex]2^2 = x[/tex]
[tex]4 =x[/tex]
[tex]x = 4[/tex]
This implies that:
[tex]a = 4[/tex]
For [tex]x=0[/tex]
This implies that:
[tex]b=0[/tex]
So, we have:
[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]
[tex]V = 2\pi \int\limits^4_0 {p(y)h(y)} \, dy[/tex]
The volume of the solid becomes:
[tex]V = 2\pi \int\limits^4_0 {x(8 - x^{\frac{3}{2}}}) \, dx[/tex]
Open bracket
[tex]V = 2\pi \int\limits^4_0 {8x - x.x^{\frac{3}{2}}} \, dx[/tex]
[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{2+3}{2}}} \, dx[/tex]
[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{5}{2}}} \, dx[/tex]
Integrate
[tex]V = 2\pi * [{\frac{8x^2}{2} - \frac{x^{1+\frac{5}{2}}}{1+\frac{5}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{2+5}{2}}}{\frac{2+5}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{7}{2}}}{\frac{7}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{2}{7}x^{\frac{7}{2}}]\vert^4_0[/tex]
Substitute 4 and 0 for x
[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [{4*0^2 - \frac{2}{7}*0^{\frac{7}{2}}])[/tex]
[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [0])[/tex]
[tex]V = 2\pi * [{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*2^2^{*\frac{7}{2}}][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*2^7][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*128][/tex]
[tex]V = 2\pi * [{64 - \frac{2*128}{7}][/tex]
[tex]V = 2\pi * [{64 - \frac{256}{7}][/tex]
Take LCM
[tex]V = 2\pi * [\frac{64*7-256}{7}][/tex]
[tex]V = 2\pi * [\frac{448-256}{7}][/tex]
[tex]V = 2\pi * [\frac{192}{7}][/tex]
[tex]V = [\frac{2\pi * 192}{7}][/tex]
[tex]V = \frac{\pi * 384}{7}[/tex]
[tex]V = \frac{384}{7}\pi[/tex]
Hence, the required volume is:
[tex]Volume = \frac{384}{7}\pi[/tex]
The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units.
How to calculate the volume of a solid of revolution by shell method
Let be [tex]f(x) = x^{5/2}[/tex] and [tex]g(x) = 32[/tex], whose point of intersection is [tex](x,y) = (4, 32)[/tex]. Solid of revolution generated by revolving the plane region about the y-axis is defined by the following formula:
[tex]V = 2\pi\int\limits^{32}_0 {y\cdot g(y)} \, dy[/tex] (1)
If we know that [tex]g(y) = y^{2/5}[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi\int\limits^{32}_{0} {y^{7/5}} \, dy[/tex]
[tex]V = 2\pi\cdot \left(\frac{5}{12}\cdot y^{12/5}\right)\left|_{0}^{32}[/tex]
[tex]V = \frac{5\pi}{6} \cdot y^{12/5}|\limit_{0}^{32}[/tex]
[tex]V = \frac{5\pi}{6}\cdot 32^{12/5}[/tex]
[tex]V = \frac{10240\pi}{3}[/tex]
The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units. [tex]\blacksquare[/tex]
Remark
The statement is incomplete. Complete form is shown below:
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. [tex]y = x^{5/2}[/tex], [tex]y = 32[/tex], [tex]x = 0[/tex].
To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504
let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.
9514 1404 393
Answer:
(x, y) = (8, 2)
Step-by-step explanation:
The relevant equations are ...
3x -y = 22
x +2y = 12
__
We can eliminate y by adding twice the first equation to the second.
2(3x -y) +(x +2y) = 2(22) +(12)
7x = 56
x = 8
Substituting into the first equation gives ...
3(8) -y = 22
y = 24 -22 = 2
The first number is 8; the second number is 2.
2. 7 2/6 + 1/12 = M
A.7 3/18
B.7/18
C.7 2/12
D.7 5/12
3. 1 6/10 + 1 4/5 = ?
A. 2 10/15
B. 2 10/50
C. 3 4/10
D. 3 10/10
4. 5/8 + 1/2 = Z
A. 9/8
B. 6/8
C. 1
D. 1 5/8
5. 2/12 + 2/4 = R *
A. 4/16
B. 8/16
C. 4/12
D. 8/12
Answer:
2 a 3 d 4 c 5 b
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
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PLS SHOW THE WORK!!!!!!!!
Now im not 100% sure, but this is what i got (for number one).
y=2x−1
Swap sides so that all variable terms are on the left hand side.
2x−1=y
Add 1 to both sides.
2x=y+1
Divide both sides by 2.
2x/2 = y+1/2
Dividing by 2 undoes the multiplication by 2.
So therefore, X = Y+1/2.
(i couldnt explain that very well im sorry, i dont know the 2nd answer im very bad at these)
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
A CD costs $13.50 before tax. What is the total cost after a 8% sales tax is added?
Answer:
$14.58
13.50+1.08= $14.58
When 2/3 tons of coal cost $13.50, what will in ton cost?
Answer:
20.25
Step-by-step explanation:
Divide 13.50 by 2 and then multiply by 3.
ASAP I WILL GIVE BRAINLIEST
Which statements apply to the expression 5 ?
The answers/options r in the pic
Answer:
ok so in my math class I just learned this so sry if I am wrong but so
Answer:
Options 1, 3, 4, 7
Step-by-step explanation:
I'm guessing you meant the expression 3/5^3.
The base would be 3/5 because that is the number that the exponent is raising.
The exponent is 3 because that's the small number above and to the right of 3/5.
The expanded form is 3/5 × 3/5 × 3/5 because there's an exponent of 3. An exponent means you multiply the number by itself, the number of times it's being raised to. The exponent is 3 and 3/5 is being multiplied 3 times.
The solution would be 27/125 because when you multiply fractions, you just multiply straight across. 3 × 3 × 3 is 27 and 5 × 5 × 5 is 125.
I hope this makes sense, it's kinda hard to make it understandable without being able to actually talk to you.
put a digit in the gap, such that the answer is a whole number 10x + 11 = 144
Answer:
13.3 or 13
Step-by-step explanation:
10x+11=144
10x=144-11
10x=133
x=133/10
x=13.3
Each tile is 3/2 feet by 3/2 feet. There are 10 tiles on the bathroom floor.
What is the area covered by the tiles?
Explain how you know.
9514 1404 393
Answer:
22.5 square feet
Step-by-step explanation:
The area covered by one tile is the product of its dimensions:
A = lw
A = (3/2 ft)(3/2 ft) = 9/4 ft²
The area covered by 10 tiles is 10 times the area covered by one tile. The area covered is ...
covered by tiles = 10 × 9/4 ft² = 90/4 ft²
covered by tiles = 22.5 ft²
22 1/2 square feet is the area covered by tiles.
Which function rule represents the data in the table below ?
y = 4 + 5 x
y = 3 + 6x
y= 5 + 4x
y = 6 + 3x
I need help I’m not sure if this the right answer.!
Answer:
is A
Step-by-step explanation:
00000000000000000000000000
Answer:
Its 0 because 12+ (-12) = 0
Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group
has 25 students and 4 adult chaperones.
The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations
below.
30s + 4a = 720
25s + 4a = 620
What is the cost for each student ticket?
Answer:
Step-by-step explanation:
Which point is a reflection of (-3,-3) across the y-axis?
(-3, 3)
(3, 3)
0 (-3,-3)
o
(3,-3)
The point which is a reflection of (-3,-3) across the y-axis is, (3, - 3)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
The point is,
⇒ (- 3, - 3)
Now, We know that;
The rule of reflection after across the y - axis is,
⇒ (x, y) = (- x, y)
Thus, The point which is a reflection of (-3,-3) across the y-axis is,
⇒ (x, y) = (- x, y)
⇒ (-3, -3) = (- (-3), -3)
= (3, - 3)
Learn more about the coordinate visit:
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words every 20 minutes, whilo Becky's rate is represented by the graph below. Who types at a faster rate , Armav or Becky? PLEASE HELP I WILL MARK YoU BRAINALIST!!!!
Answer:
The anwser is 1340
Step-by-step explanation:
divide 335 by 5 then multipilyby 20
what type of number is -
[tex] \sqrt{16} [/tex]
Answer:
perfect square / rational
4
Step-by-step explanation:
Answer:
root of 16. or 4
Step-by-step explanation:
what is the answer of this question?
Answer:
Its B.
Step-by-step explanation:
Because [tex]11^{2}[/tex] + [tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]
121 + 144 [tex]\neq[/tex] 225
265 [tex]\neq[/tex] 225
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE BRAINLIEST TO RIGHT ANSWER FIND X
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
Corresponding sides are proportional.
full length/right segment = 36/20 = (x+5+30)/30
Multiplying by 30 gives ...
54 = x +35
19 = x . . . . . . . subtract 35
(a) has no solutions.
(b) has infinitely many solutions.
(c) has exactly one solution.
Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
