Y =k√x
12 = 3k
k = 4
now X = 1\2
y = 4√1/2
y = 2√2
Answer:
y = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is
y = k[tex]\sqrt{x}[/tex] ← k is the constant of variation
To find k use the condition when x = 9, y = 12
12 = k[tex]\sqrt{9}[/tex] = 3k ( divide both sides by 3 )
4 = k
y = 4[tex]\sqrt{x}[/tex] ← equation of variation
When x = [tex]\frac{1}{2}[/tex] , then
y = 4[tex]\sqrt{\frac{1}{2} }[/tex] = 4 × [tex]\frac{1}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
y = [tex]\frac{4}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{4\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex]
Each time a component is tested the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possile values of Y, and state which Y value is associated with each one.
Y Outcomes
3
4
5
6
7
Answer:
[tex](a)\ \{SSS\}[/tex]
[tex](b)\ \{FSSS\}[/tex]
[tex](c)\ \{FFSSS, SFSSS\}[/tex]
[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
Step-by-step explanation:
Given
[tex]S\to[/tex] Success
[tex]F\to[/tex] Failure
[tex]n \to 3[/tex] Consecutive trials until S happens
[tex]Y \to[/tex] Number of trials
For every possible outcome, the last 3 must be SSS. So, we have:
[tex](a)\ Y = 3[/tex]
The only possibility here is: [tex]\{SSS\}[/tex]
because 3 trials implies that all outcomes must be S.
[tex](b)\ Y = 4[/tex]
The only possibility here is:
[tex]\{FSSS\}[/tex]
because 4 trials implies that the first outcome must be F
[tex](c)\ Y = 5[/tex]
The possibilities are:
[tex]\{FFSSS, SFSSS\}[/tex]
because 5 trials implies that the first and the second outcomes must be FS or SF.
[tex](d)\ Y = 6[/tex]
The possibilities are:
[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
because 6 trials implies that the first three outcomes are: FFF, SSF and SFF
[tex](e)\ Y = 7[/tex]
The possibilities are:
[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))
Find the measure of angle 1
51
52
53
50°
R
54
55
P Р
56°
Answer:
53°
Step-by-step explanation:
angle 1 = ½×( 50+56) = ½×106 = 53°
Solve for the value of x. Round to the nearest tenth.
What is the area of the base of the cone below? 12ft v=90ft^3
Answer: C 22.5 ft2!
Step-by-step explanation:
i took the test, have a great day:) <3
Answer:
right
Step-by-step explanation:
Angle 2 equals 130 find angle 3
Answer:
180° - 130 = 50°
Step-by-step explanation:
Assuming they are adjacent: 180° - 130 = 150°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Three hens can lay three eggs in three minutes? How many eggs do the hens lay in 2 hours assuming consistent
output?
assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400
Evaluate 4x - y if x = 3 and y = 6
Answer:
The answer is 6
Step-by-step explanation:
4 (3) - 6
12 - 6
= 6.
Need help fast please
Answer:
28
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 45^2 = 53^2
a^2 +2025=2809
a^2 = 2809-2025
a^2 =784
Take the square root of each side
sqrt(a^2) = sqrt(784)
a =28
geometry acellus i need help pretty please
Answer:
change your pfp and ill give u the answer
Step-by-step explanation:
Answer:
x = 17.5 degrees
Step-by-step explanation:
So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.
2x+10 = 45
Move over the 10
2x = 35
Divide by 2
x = 17.5 degrees
That's all.
If two coplanar lines are cut by a transversal so that corresponding angles are *blank*
congruent, then the lines are
(parallel/perpendicular/skew).
Answer:
parallel
Step-by-step explanation:
If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel
========================================================
Explanation:
This is due to the converse of the corresponding angles theorem.
Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.
The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.
Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.
Check out the image below to see an example of what I mean.
What is the surface area of the square pyramid ?
Sorry question is only 8. Ok
Answer:
Hello! answer: 175 cm2
Step-by-step explanation:
9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126
7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it
If h(x) = 6 – X, what is the value of (hon (10)? O 4 -2 10 If p(x) = 2x2 - 4x and q(x) = x - 3, what is (pºq)(x)? O 2x2 - 4x + 12 O 2x2 – 16x + 18 O 2x2 – 16x + 30 O 2x2 – 16x + 15
2(x2-6x+9)-4(x-3) .... Report. 10/05/20 ... Since p(x) = 2x2 - 4x, we get: 4 - 4(x-3) = 4 - 4x + 12 = -8 - 4x (assuming 2x2 ... 4x. Note ** if in the original equation "2x2" means "2 times x to the power of 2" ... No packages or subscriptions, pay only for the time you need.2 answers Top answer:
p(x) = 2x2 – 4x and q(x) = x – 3, (p•q)(x).
The value of h(10) if h(x) = 6 – X and (pºq)(x) are -4 and 2x² - 16x + 18 respectively
How to solve equationh(x) = 6 – x
h(10) = 6 - 10
= -4
If
p(x) = 2x² - 4x
q(x) = x - 3
(pºq)(x)
= (2x² - 4x) (x - 3) × 4
= 2x² - 16x + 18
Learn more about equation:
https://brainly.com/question/2972832
Please help and hurry!
Answer:
Step-by-step explanation:
radius=diameter/2
=9/2
=4.5
Answer:
4.5
Step-by-step explanation:
9= diameter and Radius= diameter divided by 2
9 divided by 2 = 4.5
Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks
Which equation is a linear function?
Please answer within 5 minutes
Answer:
y= x/2-5
Step-by-step explanation:
Answer:
y=x²+7
Step-by-step explanation:
I'm pretty sure this is the answer
The parallelogram shown below has an area of 54 units squared
Answer:
the height is 6 units
Step-by-step explanation:
Given that
The area of the parallelogram is 54 units squared
The base is 9 units
We need to find out the height
As we know that
The area of the parallelogram = Base × height
54 = 9 × height
So, the height is
= 54 ÷ 9
= 6 units
Hence, the height is 6 units
Answer:
You can only find the height if you know the length.
Step-by-step explanation:
Have a good day.
42-(32+4)+7
Evaluate the following expression
Answer:
13
Step-by-step explanation:
42 - (32 + 4) + 7 =
42 - 36 + 7 =
13
Answer:
15.
Step-by-step explanation:
Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.
I hope this helped, have a nice day.
Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into each glass?
Answer:
4/5
Step-by-step explanation:
1/2 ÷6=4/5
What is the area of the figure? Round to the nearest tenth.
45 m
3 m
3 m
7.5 m
A 36.0 m2
B. 22.5 m2
C. 45.0 m2
D. 72.0 m2
Answer:
letter A
Step-by-step explanation:
This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.
Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5
So, 13.5+22.5=36, or letter A
Which expression is equivalent to 4(2x + 5) ? Replace the x with a 2
Answer:
8x+20
36
Step-by-step explanation:
4(2x) + 4(5)
= 8x +20
Hence,
Substituting 2 into 8x+20:
8(2)+20
= 36
Feel free to mark it as brainliest :D
If the discriminant is a positive number, the quadratic equation has 2 real solutions?
A.False
B. True
Answer: B
Step-by-step explanation:
Good Luck!
6. A store orders 8 boxes of notebooks.
There are 144 notebooks in each box
Use breaking apart to find how many
notebooks the store ordered.
Answer: 1,152 notebooks
Step-by-step explanation:
You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)
I GIVE BRAINLIEST!!!
Margie needs to borrow $9,000 from a local bank. The loan has a 8.5% interest rate for 4 years. What will Margie's monthly payment be?
Answer: I'm sorry I don't know but il try and calculate the answer for you
Step-by-step explanation:
Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52?
Answer:
X + (X + 2) = 52
Step-by-step explanation:
Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:
X + (X + 2) = 52
2X + 2 = 52
X = (52 - 2) / 2
X = 50/2
X = 25
X + 2 =?
25 + 2 = 27
Therefore, the consecutive odd integers are 25 and 27.
Estimate:
89 364 What’s the answer
Answer:
A. 4
Step-by-step explanation:
364/89 = 4.089
4.089 estimated to 4
What are the following of this function y = 4sin (2( x - [tex]\frac{3\pi }{4}[/tex] )) :
amplitude
minimum
maximum
period
phase shift
midline equation
Answer:
See below...
Step-by-step explanation:
For a function whose formula is in this pattern:
[tex]y=A\sin\left(B(x-C)\right)[/tex]
Amplitude: [tex]|A|[/tex]
Period: [tex]\frac{2\pi}{B}[/tex]
Phase Shift: C
In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]
Amplitude: 4
Period: [tex]\frac{2\pi}{2}=\pi[/tex]
Phase Shift: [tex]\frac{3\pi}{4}[/tex]
There is no vertical shift, so the midline is the x-axis whose equation is y = 0.
Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.
The graph is attached.
which sentence is true iready math
A carpet measures 7 meters 3 decimeters in length and 4 meters
decimeters in width. What is its area in square meters?
Answer:
29.2 metres squared
Step-by-step explanation:
because 3 decimetre equal 1 metre, 7 metres and 3 decimetre equal 7.3 metres.
now we just use the area formula to solve.
Area = Length × Width = 7.3 × 4 = 29.2 metres squared
PLEASEEEE HELPPPP MEEEEE
Suppose Xinwei want to put a fence around a rectangular field, where the width (w) is three times the length (l). Give an expression for the perimeter of the field in terms of its length (l).
Answer:
P = 8 l
Step-by-step explanation:
Let's consider a rectangular field with dimensions:
width (w)length (l)We know that the width (w) is three times the length (l), that is,
w = 3 l [1]
We can calculate the perimeter (P) of a rectangle using the following expression.
P = 2 l + 2 w [2]
If we replace [1] in [2], we get,
P = 2 l + 2 (3 l)
P = 2 l + 6 l
P = 8 l