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[tex]-6h^{2}+5h+2=0\\h^{2} -\frac{5}{6} h-\frac{1}{3} =0\\h^{2} -\frac{5}{6} h+(\frac{5}{12} )^{2} -(\frac{5}{12} )^{2}-\frac{1}{3} =0\\(h-\frac{5}{12} )^{2} =\frac{1}{3} +(\frac{5}{12} )^{2}\\(h-\frac{5}{12} )^{2} =\frac{73}{144} \\[/tex]
[tex]h-\frac{5}{12} = \sqrt{\frac{73}{144}} \\h=\sqrt{\frac{73}{144}} +\frac{5}{12}[/tex]
or
[tex]h-\frac{5}{12} = -\sqrt{\frac{73}{144}} \\h=-\sqrt{\frac{73}{144}} +\frac{5}{12}[/tex]
The equation is y = -5(3^x)
Answer:
C
Step-by-step explanation:
Since the number outside of the parentheses is -5, the negative factor means that the line is reflected across the x-axis.
Ava read 121 books in 12.1 months. How many books per month did she read?
Answer:
10
Step-by-step explanation:
To find how many months, you need to divide by 12.1.
121/12.1 = 10
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Answer:
The one you chose in the image is correct (A)
Answer:
a: Rita had a 28 mile head start
Step-by-step explanation:
In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.
Answer:
The change of the person landing on each side is 1/8
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14x^4y^6/7x^8y^2
A. 2y^4/x^3
B. 7y^3/x^2
C. 7x^4y^4
D. 2x^2y^3
Answer:
The answer is A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hope this Helps ;)
Richard and Braden are playing a game with a pair of dice. Richard needs a sum greater than 9 to win. What is his probability of winning on his next turn?
Answer:
5/12
Step-by-step explanation:
Notice that the in the throw of a pair of dice.
Sum No. of times Favorable outcome
8 5
9 4
10 3
11 2
12 1
And total otcome = 6×6 =36
There P ( richard win) = P(X≥8)
= (5+4+3+2+1)/36
=5/12
if 1/3 of a number is added to 1/5 of the same number.the result is 8. find the nnumbe
Answer:
15
Step-by-step explanation:
the number is 15 as solved or proved in the figure above
I need the answer to this question
Answer:
Option(A)
Step-by-step explanation:
y=4x+2
When you replace the value of x in the equation you get the value of y
Answer:
the answer is A since if we lay it out we will get y
-6=-2*4+2
2=0*4+2
6=1*4+2
1. Of the three angles in a right-angled triangle, one angle has a measure
of 60 degrees. What is the measure of the third angle, Angle X? *
al 60
Answer:
30°
Step-by-step explanation:
180 - 90 - 60 = 30
What is the value of the expression shown below?
Answer:
11 1/8
Step-by-step explanation:
(I think u did the PEMDAS wrong)
10 + ( 36) / 4 x 1/8
36 / 4 = 9
9 x 1/8 = 9/8
10 + 9/8 = 89/8
89/8 = 11 1/8
Answer:
1st one
Step-by-step explanation:
Pleas help y’all please
Answer:
option 3
Step-by-step explanation:
BODMAS : the expression contains addition and division. So we will do division first and then addition.
[tex]\frac{1}{3} + \frac{5}{4} \div \frac{3}{2}\\\\\frac{1}{3} + (\frac{5}{4} \div \frac{3}{2})\\\\\frac{1}{3} +( \frac{5}{4} \times \frac{2}{3} )\\\\\frac{1}{3} + \frac{5}{6}\\\\\frac{2 + 5}{6} \\\\\frac{7}{6} = 1 \frac{1}{6}[/tex]
Simplify r^2-2r^3+3r^2
Answer:
=−2r3+4r2
Step-by-step explanation:
r2−2r3+3r2
=r2+−2r3+3r2
=r2+−2r3+3r2
=(−2r3)+(r2+3r2)
=−2r3+4r2
Answer to the question
Answer:
(Opt.D) x = 14
Step-by-step explanation:
<A + <B = 180 (Adjacent angles of a parallelogram are supplementary)
∴36 + 11x - 10 = 180
26 + 11x = 180
11x = 180 - 26
11x = 154
x = 154/11
x = 14
Hope this helps u
Please mark as brainliest
Thank You
would it be the same
Answers:
a) No, the figure would not look the same. See the diagram belowb) Yes the figure would look the same after a half turnc) Yes the figure would look the same after a full turn==================================================
Explanations:
a) The figure doesn't have 90 degree symmetry, so that's why we have a different looking figure after a quarter turn.b) The figure does have 180 degree symmetry. That's why it looks the same after a half turn (aka 180 degree turn)c) Rotating any figure 360 degrees, aka a full turn, will get everything back where it started. It doesn't matter if the figure has any symmetry or not.SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) Write the equation of the line x 3y
Answer:
[tex]y = -3x + 14[/tex]
Step-by-step explanation:
Required
The equation of line
perpendicular to : [tex]x -3y =9[/tex]
Passes through [tex](3,5)[/tex]
We have:
[tex]x -3y =9[/tex]
Make y the subject
[tex]3y =x - 9[/tex]
Solve for y
[tex]y = \frac{x}{3} - 3[/tex]
Compare the above equation to [tex]y = mx + c[/tex]
[tex]m =\frac{1}{3}[/tex] ---- This represents the slope
Since the line is perpendicular to [tex]x -3y =9[/tex], then its slope is:
[tex]m_2 = -\frac{1}{m}[/tex]
[tex]m_2 = -\frac{1}{1/3}[/tex]
[tex]m_2 =-3[/tex]
The equation of the perpendicular line is:
[tex]y =m_2(x - x_1) + y_1[/tex]
Where:
[tex]m_2 =-3[/tex]
[tex](x_1,y_1) =[/tex] [tex](3,5)[/tex]
So:
[tex]y = -3(x - 3) + 5[/tex]
[tex]y = -3x + 9 + 5[/tex]
[tex]y = -3x + 14[/tex]
PLZ HELLPPP!!!I would really apreciate it 25 POINTS!!!
If a seed is planted, it has a 90% chance of growing into a healthy plant. If 10 seeds are planted, what is the probability that exactly 2 don't grow
The probability that exactly 2 seeds will don't grow will be equal to 0.193.
What is Probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given information in the question,
P(2 don't grow) = P(8 will grow)
Use the formula given below,
P(X = r) = [tex]^nC_r\ p^r(1-p)^{n - r}\\[/tex]
P(X = 8) = ¹⁰C₂ (0.9)⁸(0.1)²
= 45 × 0.43 × 0.01
= 0.193
To know more about Probability:
https://brainly.in/question/54143022
#SPJ5
Can u help me with this?
Answer:
b
Step-by-step explanation:
it is the right answer pls believe me
Suppose the following set of random numbers is being used to simulate the
event of a basketball player making five free throws in a row. How should the
numbers be rearranged?
860583 785814 010122 337198 621549 034076 796495 978078 433330
333153
A. 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978
078 433 330 333 153
B. 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597
8078 4333 3033 3153
C. 86058 37858 14010 12233 71986 21549 03407 67964 95978
07843 33303 33153
D. 860583 785814 010122 337198 621549 034076 796495 978078
433330 333153
The list that represents the simulation of five free throws is (c) 86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
To illustrate the simulation of five free throws, then each number on the list must have 5 digits
The list is given as:
860583 785814 010122 337198 621549 034076 796495 978078 433330 333153
When rearranged, we have:
86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
Hence, the list that represents the simulation of five free throws is (c) 86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
Read more about random numbers at:
https://brainly.com/question/251701
please help ASAP (math)
PLEASE PLEASE HELP ME
Answer:
x = 77
Step-by-step explanation:
All angles in a triangle equal to: 180
70 + 33 = 103
180 - 103 = 77
Have a nice day!
Can someone please help me? You get points and it makes me happy.
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour?
A. $3.00
B. $6.00
C. $9.00
D. $12.00
No links or fake answers pls. Thanks for understanding.
Answer:
$6
Step-by-step explanation:
(x-3)+x=15
2x-3=15
2x=18
x=9
9-3=6
Melanie makes 6 and Carlita makes 9.
find the missing angles
[tex]\huge\bold{Given :}[/tex]
Angle a = 39°
Angle c = 123°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle b.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
∠ b = 18°
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ a + ∠ b + ∠ c = 180°
➪ 39° + ∠ b + 123° = 180°
➪ ∠ b + 162° = 180°
➪ ∠ b = 180° - 162°
➪ ∠ b = 18°
Therefore, the measure of ∠ b is 18°.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ a + ∠ b + ∠ c = 180°
✒ 39° + 18° + 123° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Really struggling, anyone mind explaining?
Step-by-step explanation:
You can solve this by splitting it into a net and calculating the areas of each shape
Count the triangles: 4
rectangles: 1
area of a triangle: 0.5 x b x h
area of a square : L x W
4(0.5 x b x h) + L x W = surface area
Which of the following is equivalent to log50^7 rounded to three decimal places
Answer:
11.886
Step-by-step explanation:
Given :
[tex]log 50^7[/tex]
Applying formula
[tex]log a^m=m log a[/tex]
So,
[tex]7 log 50\\=7(1.698)\\=11.886[/tex]
Answer will be 11.886
The position of an atom moving inside a cathode ray tube is given by the function f(t) = t^3− 4t^2 + 3t where t is in seconds and f(t) is in meters. Find the instantaneous velocity of the atom at t = 2.5 seconds. A. 1.75 m/sec. B. 2.48 m/sec. C. 3.27 m/sec. D. 4.12 m/sec.
Answer:
A
Step-by-step explanation:
The position of an atom moving inside a cathode ray tube is given by the function:
[tex]f(t)=t^3-4t^2+3t[/tex]
Where f(t) is in meters and t is in seconds.
And we want to determine its instantaneous velocity at t = 2.5 seconds.
The velocity function is the derivative of the position function. Thus, find the derivative of the function:
[tex]f'(t)=3t^2-8t+3[/tex]
Then the instantaneous velocity at t = 2.5 will be:
[tex]f'(2.5)=3(2.5)^2-8(2.5)+3=1.75\text{ m/sec}[/tex]
Our answer is A.
Answer:
Instantaneous Velocity:
[tex]\longrightarrow\:\rm v = \dfrac{dt}{dy}[/tex]
[tex]\longrightarrow\:\rm v = \dfrac{d}{dy}( {t}^{3} - 4 {t}^{2} + 3t) \\ [/tex]
[tex]\longrightarrow\:\rm v = 3 {t}^{3 - 1} - 2.4 {t}^{2 - 1} + 3[/tex]
[tex]\longrightarrow\:\rm v = 3 {t}^{2} - 8 t + 3[/tex]
[tex]\longrightarrow\:\rm v = 3 {(2.5)}^{2} - 8 (2.5)+ 3[/tex]
[tex]\longrightarrow\:\rm v = 3 \times 6.25 - 20+ 3[/tex]
[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]
[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]
[tex]\longrightarrow\:\bf v = 1.75 \: {ms}^{ - 1} [/tex]
I need help with this simple Geometry Question
Answer: 132º
Step-by-step explanation:
Since <QSR is an inscribed angle, that means that the intercepted arc, which is arc QR, is twice the measure of that angle, which is 132º. Since <QPR is a center angle, it is equal to its center arc. So, <QPR is 132º.
may u plz help me.....
Answer:
the 3 is in the hundredths place
Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths
A cylinder has a volume of 187 cubic inches. If the radius is 3 inches, what is the height of the cylinder in inches?
Someone please help
Answer:
Step-by-step explanation:
V = pi r^2 h
V = 187
pi = 3.14
r = 3
h = ?
187 = 3.14 * 3^2 * h
187 = 3.14 * 9 * h
187 = 28.26 * h
187 / 28.26 = h
h = 6.62
Answer:
The height of cylinder is 6.61 inches.
Step-by-step explanation:
Given that :- Volume of cylinder = 187 inches ³.Radius of cylinder, r = 3 inchesWe need to Find :-Height of cylinder , h Formula Used :-Volume of cylinder = π × r ² × h
Where,
r is the radius of cylinder. h is the height of cylinder.Solution :-Using Formula
Volume of cylinder = π × r ² × h
Substitute the values
187 inches ³ = π × ( 3 inches ) ² × h
Using π = 3.14
187 inches ³ = 3.14 × 9 inches ² × h
multiply
187 inches ³ = 28.26 inches ² × h
Divide , we get
187 inches ³ / 28.26 = h
6.61 inches = h
Therefore, The height of cylinder is 6.61 inches.
What is the equation of the line that passes through the point (6,1) and is parallel to the line x+3y=15
9514 1404 393
Answer:
x + 3y = 9
Step-by-step explanation:
The parallel line will have the same x- and y-coefficients. The new constant can be found by using the (x, y) values of the given point.
x + 3y = (6 +3(1)) = 9
The equation of the parallel line is ...
x + 3y = 9