Evaluate ƒ(x) = 2x2 for ƒ(3)
Answer:
f(3) = 18
Step-by-step explanation:
In f(x) = 2x² ltet x = 3
f(3) = 2(3)²
f(3) = 2(9)
f(3) = 18
ends of a diameter: (-11, -9) and (1, -3) whats the radius and center
well, we know the endpoints of its diameter, so hmmm its center will be the midpoint of those endpoints.
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 1 -11}{2}~~~ ,~~~ \cfrac{ -3 -9}{2} \right)\implies \left( \cfrac{-10}{2}~~,~~\cfrac{-12}{2} \right)\implies \stackrel{center}{(-5~~,~~-6)}[/tex]
well, to get its radius, we can simply get the distance between both points and keeping in mind that the radius is half the diameter, we'll take half of that distance.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-11)]^2 + [-3 - (-9)]^2}\implies d=\sqrt{(1+11)^2+(-3+9)^2} \\\\\\ d=\sqrt{12^2 + 6^2}\implies d=\sqrt{180}\implies d=6\sqrt{5}~\hfill \underset{half~that}{\stackrel{radius}{3\sqrt{5}}}[/tex]
determine the sum by suitable arrangement
i)157+376+413+524 thank you
Answer:
the answer is 1470
Step-by-step explanation:
157+376+413+524
=1470
A parallelogram has and area of 37.72 m2 and a height of 4.6 m. How long is the base of the parallelogram?
Answer:
It acually equals 8.2
Step-by-step explanation:
37.72÷4.6=8.2 8.2*4.6=37.72
Hope this helps!
A line passes through the point (-10, -8) and has a slope of -1/2. Write an equation in slope intercept form for this line
>>>>>>>>>>>>>>>>>>>>
Answer:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
<<<<<<<<<<<<<<<<<<<<
hope it helps...!!!
The school auditorium has 448 seats arranges in 32 equal rows. How many seats are in each row?
Find the midpoint between these two points:
(-2, -13) and (-8, 3)
options:
(-4, 8)
(-5, -8)
(-5, -5)
(4, 8)
3 + 32 ÷ 8 - 9 pls figure this out
3 + 4 -9
-2
........ -2 is the answer
Answer:
Your answer is -2.
Explanation:
3 + 32 ÷ 8 - 9
= 3 +4 - 9
= 7 - 9
= -2
What are the coordinates of point B' after
AABC is reflected across the y-axis?
5 y
А
В'
?
?
с
B (3,2
-5
0
-5
Answer:
B'(-3, 2)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x, y) → (-x, y)
This means that the x-values change while the y-values stay the same.
B(x, y) → (-x, y)
B(3, 2) → (-3, 2)
B'(-3, 2)
Hope this helps!
Helppppppp plissssssssssss
Answer: Option W
Step-by-step explanation:
A function cannot have multiply y values for a single x value, so the only option that satisfies this rule is option W, the top left.
Two-thirds of a number increased by 3 is 11. What is the number?
Lin goal is to drink 8 cups of water every day she drags 37 oz of for lunch today how much more water does Linda need to drink today to reach her goal
Answer: 27
Step-by-step explanation:
8 cups of water is 64 Ounce. If she had 37, She needs 64 - 37 To balance up
Derek saves 10% of his paycheck each week to buy a mountain bike the mountain bike costs 340.00 Derek receives a paycheck in the amount of $280.50 each week how many paychecks will Derek have to receive before he has saved enough money to buy the mountain bike
Answer: 13 weeks
Step-by-step explanation:
First you have to find 10% of 340.00 which is 28, so each week he saves 28.00 for his bike. To find how many paychecks he has to recieve you divide 340.00 by 28.00, which is 12.1, since there is a decimal place you have to round it up to 13 because it is a little bit more than 12 paychecks. ;)
The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say that the storage building must have maximum maximum height of 14 feet. Width of 8 feet and trucks deliver fertilizer in loads that are feet tall; feet wide, and 12 feet long_ Farmer Supply Dump wants t0 be able to store dump-truck loads of fertilizer: and height of the cone, h2 that Farmer Supply should use in Determine height of the cylinder; h1 will be able to store at least two dump-truck loads of fertilizer: the design: Show that your design Enter your answer and your work in the space provided
Assuming ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet
The diameter of the building has been given as 8cm
radius = d/2 = 8/2 = 4
Maximum height = h1 + h2 = 14
Find the volume of the fertilizer that is containeed in both of the trucks
2(12x4x6) = 576 feet
From the height of 14 feets we have to assume
h1 = 11 ft,
h2 = 3 ft
How to solve for volume[tex]volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1[/tex]
= 0.333*3.14*4²*3 + 3.14*4²*11
= 602.8 ft ≈ 603
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9) Calculate the approximate area of the regular pentagon, to the nearest tenth.
11 cm
Please I need help ASSAAAPPP answering this question and if so can you show work PLEASE I’m dEspRate
The equation needed to calculate the compound interest is [tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]
The value of the account after ten years is $9347.62 .
If the account is left alone for 20 years, the amount of interest earned is $6942.76
How to calculate compound interest?The compound interest formula is represented as follows;
[tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]
where
A = amountP = principalr = raten = compounded months, years etc.t = time in yearsTherefore,
where
r = 3.7% = 3.7 / 100 = 0.037
n = 1
t = 10
P = $6500
Hence,
[tex]A = 6500(1+\frac{0.037}{1} )^{1(10)}[/tex]
[tex]A = 6500(1.037)^{10}[/tex]
[tex]A = 6500(1.43809495884)[/tex]
A = 9347.61723247
A = $9347.62
The value of the account after ten years is $9347.62
Interest = 9347.62 - 6500 = 2847.62 dollars
When it is 20 years.
r = 3.7% = 3.7 / 100 = 0.037
n = 1
t = 20
P = $6500
Hence,
[tex]A = 6500(1+\frac{0.037}{1} )^{1(20)}[/tex]
[tex]A = 6500(2.06811711064)[/tex]
A = 13442.7612192
A = $13442.76
Interest = 13442.76 - 6500 = 6942.76 dollars
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Please help with this easy math problem. Due soon.
Answer:
Step-by-step explanation:
Exponential equation:
[tex]\boxed{y=a*b^{x}}[/tex]
Choose the point whose x-coordiante is 0, so that we can find the value of a. (0,2)
[tex]2 = a*b^0\\\\2 = a*1 \ [\text{\bf any \ variable raised to 0 is 1}][/tex]
[tex]\sf \boxed{a = 2}[/tex]
Now, choose (1 , 1) and find the value of b
[tex]1 = 2*b^{1}\\\\1 = 2*b\\\\\dfrac{1}{2}=b[/tex]
Exponential equation:
[tex]\bf \boxed{y =2* \left(\dfrac{1}{2}\right)^{x}}[/tex]
Pleaseeee helpppp
I will mark brainliest!! Please answer fast! <3
Answer:
9 is most likely going to be 8 x 90 = 720 becauce there is a 90 degree angle. 10 is going to be 400.8. I belive that this is the right awnser to your equation.
What number when multiplied by itself is 11 greater.
Answer:
6
Step-by-step explanation:
What is the answer to 0.5(2x + 8) = x - 4
[tex]0.5(2x+8) = x-4\\\\\implies \dfrac 12 (2x+8 ) = x-4\\\\\implies 2x+8 = 2x-8\\\\\implies 8=-8\\\\\text{Which is not true, so there are no solution.}[/tex]
True or false? If you took a true "il then statement and revered the clauses,
the new statement would also be true
O A True
O B. False
the answer to ur question is false
its 8th grade math super easy
[tex] {15}^{2} + {x}^{2} = {39}^{2} [/tex]
x = 36
^● ●^
Answer:
36
Step-by-step explanation:
You can use Pythagorus to solve this. 39^2-15^2=1296. √1296 is 36
help me out on this problem
What is the measure of ZRST?
R
46
T
O A. 46°
O B. 92°
O .
C. 23°
D. 44°
s
Answer:
ОА. 449
ОВ. 23°
Ос. 92°
OD. 46°
Step-by-step explanation:
The measure of the angle RST is 23 degrees, option C is correct.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that an arc is 46∘
We need to find the measure of the subtending angle inscribed in the circle.
The measure of the angle inscribed in a circle is one-half the measure of the arc it subtends.
The measure of the arc is twice the measure of the subtending inscribed angles.
measure of the angle RST= 1/2 measure of the arc
∠RST=1/2(46)
=23 degrees.
Hence, the measure of the angle RST is 23 degrees, option C is correct.
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What is the measure of side opposite to 45 degree if the side opposite to 90 degree is 4
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
if the given figure is triangle, then the required length can be calculated:
[tex]\frac{4}{\sqrt{2} } =2\sqrt{2}.[/tex]
additional info: sin45°=1/√2.
Is miguel’s claim correct? yes, the two events are independent because p(nf|pb) = p(nf). yes, the two events are independent because p(pb|nf) = p(nf). no, the two events are not independent because p(pb|nf) ≠ p(pb). no, the two events are not independent because p(pb|nf) ≠ p(nf).
Miguel’s claim is correct Yes, the two events are independent because P(NF | PB) is equal to P(NF) which is 3/4.
What is an independent event?The two events are said to be Independent events if the occurrence of events is not dependent.
We have the given data;
Paperback Hardcover Total
Fiction 20 10 30
Nonfiction 60 30 90
Total 80 40 120
The two events will be independent if both are the same.
P(NF | PB) = 60/80 = 3/4
P(NF) = 90/120 = 3/4
Thus, the two events are independent
Learn more about Independent events;
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Answer:
The answer will be A - Yes, the two events are independent because P(NF|PB) = P(NF).
Step-by-step explanation:
Hope this helped!
Who ran at a faster constant rate and which equation represents the relationship between Paul's distance and his time
A = Paul ran at a slower constant speed than Melinda, y=1x x being time in hours y being the distance in miles Paul ran
B = Paul ran at a slower constant speed than Melinda, y =3x x being time in hours, y being distance in miles Paul ran
C = Paul ran at a faster constant speed than melinda, y =5x where x is the time in hours and y is the distance in miles Paul ran
D = Paul ran at a faster constant speed than melinda, y =7x x being time in hours and y is the distance in miles Paul ran
Given the proportional relationship representing the speed, Paul ran faster. The equation for Paul is, y = 7x (Option D).
What is the Equation of a Proportional Relationship?Proportional relationship between two variables that has a constant rate or unit rate of m, is given as y = mx.
In a graph, the steeper the slope, the larger the constant rate or unit rate.
The graph for Paul is steeper than that of Melinda. Since Melinda's constant speed is 5, therefore, Paul's constant speed cannot be less than 5. It should be more than 5, i.e. 7.
This means that Paul ran at a faster constant speed than Melinda did.
Paul's equation for distance covered over time can be expressed as, y = 7x. (Option D).
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Ramon and Hector ride their bikes at constant rates during a race. Ramon rides 45 miles in 3 hours. The distance, y, in miles, Hector rides in x hours is given by the equation y = 18x. Which statement is true?
No answer text provided.
No answer text provided.
Ramon rides his bike 3 miles per hour faster than Hector rides his bike.
Ramon rides his bike 27 miles per hour faster than Hector rides his bike.
Ramon rides his bike 3 miles per hour slower than Hector rides his bike.
Ramon rides his bike 27 miles per hour slower than Hector rides his bike.
We will find the speeds of both persons, the correct option is:
"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."
Which statement is correct?First, we know that Ramon rides 45 miles in 3 hours, then its speed is:
S = 45mi/3h = 15mi/h
And we know that Hector position is given by:
y = 18x
Where x is time in hours, so his velocity is 18mi/h.
Then we can see that:
Ramon's speed = 15mi/hHector's speed = 18mi/hSo the correct statement is:
"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."
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Name one segment that is a radius:
How long is the radius ?
Name one segment that is a diameter:
How long is the diameter?