The location of the light bulb is (15, 0). Check the reason for the answer been (15, 0) below.
What is a parabolic mirror?This is also known as paraboloid or paraboloidal reflector. It is a kind of dish or a mirror that is said to have a reflective surface which is often used to take in or project any kind of energy e.g., light, sound, etc.
For the above question, the formula is:
y² = 2px
The focus is (p/2, 0)
x- 10 = u
y2 = 20u
So, the focus for U = ( [tex]\frac{20}{4}[/tex]; 0)
The focus for x = ( [tex]\frac{20}{4}[/tex]; 10, 0)
= 5 , 10, 0
= (15, 0)
Therefore, the answer is (15, 0)
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The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = − 2 . The y -intercept is y = − 0.2 .
Answer:
The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2
∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)
∘
and m\angle B=(3x+28)^{\circ}∠B=(3x+28)
∘
, then find the measure of \angle B∠B.
Answer:
67
Step-by-step explanation:
Complementary angles add to 90 degrees
<A + <B = 90
x+10 + 3x+28 = 90
Combine like terms
4x+38 =90
Subtract 38 from each side
4x+38-38 = 90-38
4x = 52
Divide by 4
4x/4 = 52/4
x = 13
We want to find <B
<B = 3x+28
= 3(13) +28
= 39+28
=67
Find the area of the figure.
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width to the big square is 60cm. The length to the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed is the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
Use the quadratic formula to solve the equation 9 x 2 + 30 x + 50 = 0 .
Answer:
I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help
Image is attached. Will give brainliest.
Answer:
outside the circle
sorry if I'm wrong
The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.
Answer:
540 Mies per hour
Step-by-step explanation:
add 600 and 480 then divide by 2
Alyssa's average speed on the round trip is 540 Mies per hour.
We have given,
The speed of the jet Alyssa flew on from Boston to London was 480
mph.
On her return flight, the speed of the jet was 600 mph with a tail
wind.
What is the average speed?[tex]average speed=\frac{a+b}{2}[/tex]
a=inital speed
b=final speed
add 600 and 480 then divide by 2
That can be given by
[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]
Alyssa's average speed on the round trip is 540mph.
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A right triangle has side lengths 3, 4, and 5 as shown below.
Use these lengths to flnd sinX, tanX, and cosX.
Answer:
See below
Step-by-step explanation:
Remember S-O-H-C-A-H-T-O-A
Sin = Opp / Hyp
Cos = Adjacent / Hyp
Tan =Opp / Adj
You didn't say WHICH angle is X , so you will have to finish this !
Whoever gets the Question right and first gets 15 points
(275x523)+19x34/3=?
Answer:
144040.3333
Step-by-step explanation:
275*523 = 143825
19x34/3 = 215.3333333
so add them up to get 144040.3333
Answer:
144040.333333
Step-by-step explanation:
start with parenthesis (275x523)
This would get you, 143825.
Next, you would do, (19x34/3)
That would get you, 215.333333333.
Finally, you would add the two numbers together and get a product of 144040.333333.
given f (x)=x-4/x^2+13x+36 which of the following is true
The function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is a rational function
The simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is [tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]
How to simplify the function?The function expression is given as:
f(x) =x - 4/x^2 + 13x + 36
Rewrite properly as:
[tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex]
Expand the denominator
[tex]f(x) =\frac{x - 4}{x^2 + 4x + 9x + 36}[/tex]
Factorize the denominator
[tex]f(x) =\frac{x - 4}{x(x + 4) + 9(x + 4)}[/tex]
Factor out x + 9
[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]
Hence, the simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is
[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]
Read more about rational functions at:
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Answer: f(x) is increasing for all x > -4
Proof of validity is shown below.
Find the mean absolute deviation for each data set.
1. The number of kittens in 10 litters: 4, 5, 5, 6, 6, 7, 8, 8, 8, and 9
Med
Answer:
The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.
Step-by-step explanation:
4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66
66 ÷ 10 = 6
Help help help math math math
Answer:
Equation of straight line is y=Mx+X
or, y-7=-1/5x(x-(-1)
Hence y-7=-1/5x(x-(-1) is the required equation.
Answer:
ok i heres the answer
Step-by-step explanation:
there you go have a nice day
ANSWERS FOR THESE!!!
Answer:
Question 23) 12 x 6√3 = 72√3
Question 24) 672 cm³
helps pls with this math problems . I’ll give Brainly
The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4
So, the total amount that the friends pay is 5(d-4)
A roller coaster's height is given by the equation h = -0.067t^2 + 7t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0
A. 13.40 seconds
B. 50.07 seconds
C. 52.24 seconds
D. 111.19 seconds
The time it take riders to pass over the hill and reach ground level is 111.19seconds
Functions and valuesGiven the roller coaster's height expressed by the function below;
h = -0.067t^2 + 7t + 50
where
t is the time in seconds
The driver will hit the ground at the point where h = 0
Substitute
-0.067t^2 + 7t + 50 = 0
Multiply through by -1
0.067t^2 - 7t +-50 = 0
Factorize
On factorizing, the positive value of "t" is 111.19 seconds
Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds
Learn more on functions here: https://brainly.com/question/25638609
Answer:
D) 111.19
Step-by-step explanation:
Step 1:
set h = 0
0 = -0.067t^2 + 7t + 50
Step 2:
multiply by -1
0 = 0.067t^2 - 7t - 50
Step 3:
My way may differ than your way but my is plug in all answer choices as t. If the answer choice equal to 0 meaning the answer.
A choice
0 = 0.067(13.40)^2 - 7(13.40) - 50
0 = 12.03 - 94.5 -50
0 = - 132.47
It doesn't equal to 0 meaning this choice is wrong answer
B choice
0 = 0.067(50.07)^2 - 7(50.07) - 50
0 = 167.96 - 350.49 - 50
0 = - 232.53
It doesn't equal to 0 meaning this choice is wrong answer
C choice
0 = 0.067(52.24)^2 - 7(52.24) - 50
0 = 182.84 - 365.68 - 50
0 = - 232.84
It doesn't equal to 0 meaning this choice is wrong answer
D choice
0 = 0.067(111.19)^2 - 7(111.19) - 50
0 = 828.33 - 778.33 - 50
0 = 0
It does equal to 0 meaning this choice is right answer
The answer is D) 111.19
Pls give me brainiest (I worked hard for this)
please help me with this one
Answer:
36 km^2
Step-by-step explanation:
We will use the way to find the area of trapezoids which is b+b/2 *h and that is 3+5/2 * 9 so 8/2 is 4 and 4*9=36
Solve the equation for x.
-2x = 14
-
Enter the number that belongs in the green box.
x = [?]
Enter
I
Answer:
[tex]\displaystyle -7[/tex]
Explanation:
[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]
I am joyous to assist you at any time.
Answer:
[tex]\boxed{\sf{x=-7}}[/tex]Step-by-step explanation:
To solve this problem, you have to find the value of x to isolate it on one side of the equation.
-2x=14First, you divide by -2 from both sides.
-2x/-2=14/-2
Solve.
Divide these numbers from left to right.
14/-2=-7
x=-7
Therefore, the final answer is x=-7.Hello can someone help me out please
Answer:
The answers are: 35 hot dogs & 52 sodas.
Write the pair of fractions as a pair of fractions with a common denominator.
1/3 and 3/8
The original blueprint of a concrete patio has a scale of 2 inches =3 feet
Victoria want to make a new blueprint of the patio with a length of 16.8 inches
Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)
Width of the new blueprint: 14.4 inches
what is the answer to this?
Answer:
the answer is c
Step-by-step explanation:
its c i dont know what the words say tho i need to read what it say first.
aitlyn has $2500 in a saving account.
She collects 3% annual simple interest.
How many years will it take to collect
$150 in interest?
Answer:
2 yearsStep-by-step explanation:
The interest amount per year is
3% of $2500 = 3*2500/100 = 75Number of years is
150/75 = 2Answer:
2 years
Step-by-step explanation:
Simple Interest Formula
I = Prt
where:
I = total interest earnedP = principalr = interest rate (in decimal form)t = time (in years)Given:
P = $2500r = 3% = 0.03I = $150Substitute the given values into the formula and solve for t:
⇒ 150 = 2500(0.03)t
⇒ 150 = 75t
⇒ t = 150 ÷ 75
⇒ t = 2
Therefore, it will take 2 years to collect $150 in interest.
Compute the flux of the vector field F = xy, 5yz, 6zx through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation.
The plane has intercepts
y = z = 0 ⇒ 3x = 6 ⇒ x = 2
x = z = 0 ⇒ 2y = 6 ⇒ y = 3
x = y = 0 ⇒ z = 6
and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).
Parameterize the portion of the plane (call it P) by the vector function,
[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]
where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.
Compute the normal vector to P :
[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]
Then the flux of F through P is given by the surface integral,
[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]
3.5 is the number in parentheses!
Show all work
Explain♥️
[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]
Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
52 cm
Step-by-step explanation:
The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.
What’s 9+10 equal to???
Answer:
19
Step-by-step explanation:
9+10=19
11+8=19
Hope it Helps
Which proportion could you use to convert 5 gallons to quarts?
Convert.
5gallons=
quarts
URGENT! In ABC. what is the value of r?
Answer:
16.2
Step-by-step explanation:
By geometric mean theorem:
[tex] {9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2[/tex]
find the mean of the following data set 5,17,19,24,10,17,21,6,22,5,9
Answer:
the answer to that question is 14.09
Find the slope of the line shown in the graph below.
Answer: The slope is 1
Step-by-step explanation:
We can see that between the two points it goes up 2 units (rise) and right 2 units (run).
Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer
[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]
can someone help me out with khan?