Answer:
b = -20
Step-by-step explanation:
Let's start by finding the slope of the line.
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Origin: (0, 0)
We can use (0, 0) and (3, 5) to find the slope:
[tex]Slope=\frac{5-0}{3-0}=\frac{5}{3}[/tex]
Then, we can plug this into the equation for slope to find the value of b (the slope has to be the same, since they're on the same line)
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{5}{3}=\frac{b-5}{-12-3}\\\frac{5}{3}=\frac{b-5}{-15}\\\text{Multiply both sides by -15}\\\frac{5}{3}(-15)=b-5\\\frac{-75}{3}=b-5\\-25=b-5\\\text{Add 5 to both sides}\\b=-20[/tex]
the volume of a right cone is 264 π units. if its circumference measures 12 π units, find its height
QUICK PLEASE!!
Answer:
r = [tex]\frac{12\pi }{\pi }[/tex] / 2 = 6
volume = 1/3 * π * r² * h
h = 3 * V/π * [tex]r^{2}[/tex]
h = [tex]\frac{3 * 264\pi }{\pi * 6^{2} }[/tex] = 22
The height of the right cone is 22 units.
What is a right cone?'A right circular cone is a cone where the axis of the cone is the line meeting the vertex to the midpoint of the circular base.'
According to the given problem,
Radius of the right cone = [tex]\frac{\frac{12\pi }{\pi } }{2}[/tex]
= 6 units
Volume of the right cone = [tex]\frac{\pi r^{2}h }{3}[/tex]
Solving for h,
h = [tex]\frac{3*264\pi }{\pi *6^{2} }[/tex]
⇒ h = 22 units
Hence, we can conclude that the height of the right cone is 22 units.
Learn more about right cone here: https://brainly.in/question/2216106
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Can someone help me with this please
Answer: y=-2x+6
Step-by-step explanation:
[tex]m=\frac{6-2}{0-2}=\frac{4}{-2}=-2[/tex]
So [tex]y=2x+b[/tex]. We can substitute (0, 6) to get:
6 = 2(0)+b
b=6.
Meaning y=-2x+6.
Compare the rates of change of the following items.
20 points !!! PLEASE HELP
A.
The rate of change of item II is greater than the rate of change of item I.
B.
The rate of change of item I is greater than the rate of change of item II.
C.
The rate of change of item I is equal to the rate of change of item II.
Answer:
C
Step-by-step explanation:
the equation of relationship between x and y in item ll is: y = -x -3
the rate of change of it is -1 that is equal to the rate of change of items l.
2log5x+2logx5=5answer immediately
Answer:
Answer is below
Step-by-step explanation:
2\log _5\left(x\right)+10\log _{10}\left(x\right)
Discuss the present and the future of information system in Ghana.*
help me with this, I was never taught how to do this...
Answer:
[tex]\sqrt{41}[/tex] = x
Step-by-step explanation:
Basically, find the missing side lengths of each triangle so that you can solve for x:
1. right triangle w/ side lengths 48 and 52
48^2 + (missing side)^2 = 52^22304 + (missing side)^2 = 2704(missing side)^2 = 400(missing side) = 20 (use this for next triangle)2. right triangle w/ side lengths 12 and 20 (from previous triangle)
12^2 + (missing side)^2 = 20^2144 + (missing side)^2 = 400(missing side)^2 = 256(missing side) = 16 (will be used with next triangle's missing side)3. right triangle w/ side lengths 5 and 13
5^2 + (missing side)^2 = 13^225 + (missing side)^2 = 169(missing side)^2 =144(missing side) = 12Take right triangle w/ side lengths 12, 20, and 16 (#2) and right triangle w/ side lengths 5, 13, and 12 (#3):
the value of 12 (missing side of #3) subtracted from the #2's missing side, 16, (not its hypotenuse that equals 20 which was found from #1) will equal the missing side length that will be used to find 'x'16 - 12 = 4 ---> so the side lengths are 4, 5, and x4. Solve for the final triangle that includes x:
4^2 + 5^2 = x^216 + 25 = x^241 = x^2[tex]\sqrt{41}[/tex] = xpls Help I give brainlyest
Answer:
increased by 10%
Step-by-step explanation:
The system of equations below has no solution. Which equation could represent a linear combination of the system? lm *+¿x= 15 = 42 4x + 15 y = 12 0 0 = -78 DO 15 -y=33 2 O0=0
Answer:
0
Step-by-step explanation:
Answer:
Your answer is B!
Step-by-step explanation:
Have an amazing day/night!
Please mark me brainliest!
Find the factored form of the expression. Use radicals or i as needed. 6x^2+150=0
10.
The school auditorium can seat 200 people. The middle school was putting up a school play
on two different days. On the first day, people sat in 70% of the seats. On the second day,
people sat in 81% of the seats. What was the total number of people for both days?
Answer:
302
Step-by-step explanation:
10 = 20
70 = 140
81 = 162
140+162=302
Answer correctly and give the solution.
Answer:
(a) Independent variable: b (number of bags sold)
Dependent variable: p(b) (profit)
(b) 25
(c) 84700
(d) 70
(e) b < 25
Step-by-step explanation:
(a) Independent variable: b (number of bags sold)
Dependent variable: p(b) (profit)
(b) To break even, set p(b) to zero and solve for b:
⇒ 350b - 8750 = 0
⇒ 350b = 8750
⇒ b = 8750 ÷ 350
⇒ b = 25
(c) Substitute b = 267 into equation and solve for p(b):
⇒ 350(267) - 8750 = 84700
(d) Set p(b) to 15750 and solve for b:
⇒ 350b - 8750 = 15750
⇒ 350b = 15750 + 8750
⇒ 350b = 24500
⇒ b = 24500 ÷ 350
⇒ b = 70
(e) If she breaks even when she sells 25 bags, if she sells less than 25 bags she will have a negative profit. So b < 25
solve trigonometric function
2csc∅- 2cos^2 ∅ ×csc∅
Answer:
[tex]2\sin(\theta)[/tex]
Step-by-step explanation:
[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}[/tex]
[tex]\sin^2(\theta)+\cos^2(\theta)=1\implies \sin^2(\theta)=1-\cos^2(\theta)[/tex]
[tex]2\csc(\theta)- 2cos^2(\theta)\times csc(\theta)[/tex]
[tex]=\dfrac{2}{\sin(\theta)}-\dfrac{ 2cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{ 2[1-cos^2(\theta)]}{\sin(\theta)}[/tex]
[tex]=\dfrac{ 2sin^2(\theta)}{\sin(\theta)}[/tex]
[tex]=2\sin(\theta)[/tex]
[tex]\\ \rm\Rrightarrow 2cscA-2cos^2A(cscA)[/tex]
[tex]\\ \rm\Rrightarrow 2(1/sinA)-2cos^2A(1/sinA)[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2}{sinA}-\dfrac{2cos^2A}{sinA}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2-2cos^2A}{sinA}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2(1-cos^2A)}{sinA}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2sin^2A}{sinA}[/tex]
[tex]\\ \rm\Rrightarrow sinA[/tex]
state the two transformations in the attachment below please be specific!!
HELP QUICK!!
Answer:
Translate 3 to the right and 12 down.
Dilate using point C and a scale factor of 3
72 divided 12x3 to the second power=
Answer:
72 divided 12x3 to the second power= 18
Answer: 18
Step-by-step explanation:
72÷ 12 × 3= 18
I hope its help
Malik is solving the equation x^2- 10x - 11 = 0 using the complete the square method.
Here is Malik's work:
Malik checks his answer and realized he has mad a mistake. On which line did Malik make his mistake?
Explain Malik’s Mistake using the complete square method
HELP ME PLEASE ILL GIVE BRAINLIEST
Answer:
In line 4, he did the mistake. He should have square rooted the other side as changing sides changes square to square root.
explanation:
line 1: [tex]\sf p^2 - 10p - 11 = 0[/tex]
[tex]\sf p^2 - 10p = 11[/tex]
line 2: [tex]\sf p^2 - 10p + 25 = 11 + 25[/tex]
[tex]\sf p^2 - 5p -5p+ 25 = 36[/tex]
[tex]\sf p(p-5)-5(p-5) = 36[/tex]
line 3: [tex]\sf (p-5)^2 = 36[/tex]
line 4: [tex]\sf p - 5 = \pm \sqrt{36}[/tex]
[tex]\sf p-5 = 6[/tex] or [tex]\sf p-5 = -6[/tex]
line 5: [tex]\sf p = 11[/tex] or [tex]\sf p = -1[/tex]
line 6: The solution is p = 11 or p = -1
(Please someone help me!) (NO links!)
Please hurry! I need to get this done fast!
Answer:
B1: 3
B2: 3
B3: 6
B4: +5
B5: +5
B6: 11
I need help,
Find the perimeter of the rectangle. Write your answer in Scientific Notation
area = l x w
w = area : l
w = 5.612 x 10¹⁴ : 9.2 x 10⁷
w = 6.1 x 10⁶
the perimeter: 2(l+w)
= 2(9.2 x 10⁷ + 6.1 x 10⁶)
=1.84 x 10⁸ + 1.22 x 10⁷
=10⁷(18.4+1.22)
= 1.962 x 10⁸ cm
Answer:
P = 2.0 × 10⁸ cm
Step-by-step explanation:
5.612 × 10¹⁴ = 9.2 × 10⁷ · x
6.1 × 10⁶ = x
9.2 × 10⁷ + 9.2 × 10⁷ + 6.1 × 10⁶ + 6.1 × 10⁶ = 1.962 × 10⁸ cm
Write the equation of the line that passes through the point (2, -1) and has a slope of
-3
A. Y=3x+5
B. Y=-3x+5
C. Y=-3x - 5
D. Y=3x -5
Let's recall that , the equation of line that passes through the point [tex]{\bf (x_{1},y_{1})}[/tex] and has a slope m is [tex]{\bf y-y_{1}=m(x-x_{1})}[/tex]
Now using the same concept in our question , we have ;
[tex]{:\implies \quad \sf Y-(-1)=-3(x-2)}[/tex]
[tex]{:\implies \quad \sf Y+1=-3x+6}[/tex]
[tex]{:\implies \quad \sf Y=-3x+6-1}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Y=-3x+5}}}[/tex]
Hence , Option B) Y = -3x + 5 is correct :D
Please can anybody answer fast?
Answer:
1: 0.5
2: 0.921
3: 4.705
4: 2.203
5: 0.695
The extended warranty on a garage door is $238. If the warranty costs 35% of the purchase price, how much does the garage door itself cost, to the nearest dollar?
Answer:
$680
Step-by-step explanation:
X = total price of garage door
238 = .35x
divide both sides by .35
680 = x
The door cost $680
Solve the measurement conversion problem. 12 inches=1 foot
Each s'more is 4 inches long. If you placed 6 s'mores in a row, they would be 2 feet.
A) less than
B) 2 times
C) equal to
D) greater than
Answer:
A) less than
Step-by-step explanation:
4 times 6 is 20
24 inches is 2 feet
So, it is A because 20 is less than 24.
The circumference of a circle is 35 13/21 in.
What is the approximate diameter of the circle?
Use 22/7 for π.
Enter your answer as a mixed number in simplest form in the box.
in.
Answer:
11 1/3
i did the test
Answer:
The answer is 11 1/3
Step-by-step explanation:
I took the test
The number of people estimated to vote in an election was 7000. The actual number of people who voted was 5600
Answer:
If you mean the percentage error then look at this
Step-by-step explanation:
% error = Estimated - Actual x 100
Estimated. 1
% error = 7000 - 5600 x 100
7000. 1
% error = 1400 x 100
7000
% error = 140000/7000
% error = 20%
Write an equation for a line perpendicular to y=-4x-1 and passing through the point (-4,-3). Write in y=mx+b form
A square has side length y. The side length of a second square is 2 more than y. Express the area, A, of the second square in terms of y.
Work Shown:
Area = (side length)^2
Area = (y+2)^2
Area = (y+2)(y+2)
Area = y^2 + 2y + 2y + 4
Area = y^2 + 4y + 4
What are the phase shift and period for the function y=2cos1/2(0+30°)-4
Phase shift 30° left, period 720°
Phase shift 30° right, period 330°
Phase shift 30° right, period 90°
Phase shift 30° left, period 180°
Answer:
The last one is because the phase shift happens to the left.
And the period 2pi/2
what is a double prime in geometry?
provide example if possible.
Answer/Step-by-step explanation:
A double prime is a symbol used to distinguish a third quantity x^('') ("x double prime") from two other related quantities x and x^' ("x prime). Double primes are most commonly used to denote transformed coordinates, conjugate points, and derivatives. A double prime is also used to denote the number of arc seconds in an angle measure, or the number of inches in a length.
Factor the expression: 16a + 10
Answer:
2(8a + 5)
Step-by-step explanation:
Hi there!
16a + 10
The two terms here are 16a and 10. Both of them are divisible by 2. Factor 2 out of the terms:
= 2(8a + 5)
Now, there are no more common factors between 8a and 5. Therefore, this expression is now fully factored.
I hope this helps!
o What is the slope of the equation y- 5 = -3x? o 5 -3 bo do o 8
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
HELP Me please whoever knows this
Answer:
The area is 840
Step-by-step explanation:
A=B H=20*42=840
