Answer:
The minimum is 59/12
Step-by-step explanation:
you should calculate the -b/2a = -7/6
you should put -7/6 in the x variable
A prism and two nets are shown below: 3 in. 5 in. 7.2 in. 4 in. Prism B В B A с А D D Net A Net B Part A: Which is the correct net for the prism? Explain your answer. (2 points) Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points) Part C: What is the surface area of the prism? Show your work. (4 points)
9514 1404 393
Answer:
net A is correctsurface area is 98.4 square inchesStep-by-step explanation:
Part A:
The two right-angle corners of the triangular bases are at either end of the same edge. This is only shown correctly in Net A.
__
Part B:
See the attached annotated diagram. Dimensions are in inches.
__
Part C:
The total surface area is the sum of the three central rectangles of the net and the two triangles. As shown in the attached, the two triangles can be considered as one rectangle of dimensions 3 in by 4 in.
The total area is ...
Surface area = base area + face area
= (3 in)(4 in) + (3 + 4 + 5 in)(7.2 in) = 12 in² +86.4 in²
Surface area = 98.4 in²
A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .
Answer:
The smallest possible length is 0.83m
Step-by-step explanation:
Given
[tex]Volume = 565L[/tex]
Required
The smallest length of the tank
Since the tank is cubical, then the volume is:
[tex]Volume = Length^3[/tex]
This gives:
[tex]565L= Length^3[/tex]
Express as [tex]m^3[/tex]
[tex]\frac{565m^3}{1000} = Length^3[/tex]
[tex]0.565m^3 = Length^3[/tex]
Take cube roots of both sides
[tex]0.8267m = Length[/tex]
Rewrite as:
[tex]Length = 0.8267m[/tex]
Approximate
[tex]Length = 0.83m[/tex]
solve the system of equations y=3x+2 y=x^2+2
Step-by-step explanation:
hope it help thanks
pls mark me as brainliest
Find the general solution to y" – 8 y' + 15 y=0.
Answer:
y" - 8y' + 15y = 0
2nd order Homogeneous DE.
Solving Quadratically
k² - 8k + 15 = 0
k= 5 or k= 3.
Two real and Unequal roots.
y= Ae^5x + Be^3x.
A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y prime prime plus 9 y prime plus 18 y equals
Answer:
[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]
Step-by-step explanation:
Given
[tex]y" + 9y' + 18y = 24x^2 + 40x + 8 + 12e^x[/tex] ---- (1)
[tex]y_p(x) = e^x + 4x^2[/tex]
Required
The general solution of [tex]y(x)[/tex]
Let
[tex]y = e^{nx}[/tex] be the trial solution of (1)
So:
[tex]y" + 9y' + 18y = 0[/tex] becomes
[tex]n^2 + 9n + 18 = 0[/tex]
Expand
[tex]n^2 + 6n+3n + 18 = 0[/tex]
Factorize
[tex]n(n + 6)+3(n + 6) = 0[/tex]
Factor out n + 6
[tex](n + 6)(n + 3) = 0[/tex]
Split
[tex]n +6 = 0\ or\ n + 3 = 0[/tex]
Solve for n
[tex]n =-6\ or\ n = -3[/tex]
So:
[tex]y = e^{nx}[/tex] becomes:
[tex]y = c_1e^{-6x} + c_2e^{-3x}[/tex]
[tex]y_p(x) = e^x + 4x^2[/tex] becomes
[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]
Where: [tex]c_1[/tex] and [tex]c_2[/tex] are arbitary constants
Question 2 of 10 The standard form of the equation of a parabola is y= x2 + 4x + 11. What is the vertex form of the equation? O A. y = (x - 2)2 + 18 OB. y = (x + 2)2 +7 O C. y = (x + 2)(x-2) + 7 O D. y = (x - 2)2 + 12
Answer:
The answer:
y=(x+2)²+7
Choose (B)
simplify the expression (2r^4y4xy^2) completely
Step-by-step explanation:
we can simplify the stuff inside the parentheses to
[tex] \frac{ {x}^{3} }{2y} [/tex]
now we need to multiply it with itself, giving us
[tex] \frac{ {x}^{6} }{4 {y}^{2} } [/tex]
so yeah, D is the correct answer
A house was appraised at $330,000 . One year later the house was appraised at $335,000 . At what percent did the appraised price of the house increase?
Answer:
11 2/3%
Step-by-step explanation:
Change in Amount =335,000 – 300,000
Percent Increase
Original Amount
300,000
35,000
2
=0.11666=11.666%=11-%
300,000
3
(https://imgur.com/a/U6c1pes) - For more clear explanation.
Given (x+y)^12, find the coefficient of the 7th term.
200
495
792
924
Answer: 924
Step-by-step explanation:
1. Use the combination formula nCr = n!/(n-r)!r!
Using this formula gets you 16 (n) C 6 (r) = 12!/6!6! Which is also 12 • 11 • 10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 / 6 • 5 • 4 • 3 • 2 • 1 • 6 • 5 • 4 • 3 • 2 • 1
2. Cancel out matching multiples that are in the numerator and denominator
This gets you 12 • 11 • 10 • 9 • 8 • 7 / 6 • 5 • 4 • 3 • 2 • 1 or 665280/720 when you simplify which leads you to the answer 924
Hope this helps!
Answer:
924
Step-by-step explanation:
Please help me with this math
Answer:
20
Step-by-step explanation:
2(3p+4)
Let p=2
2(3*2+4)
Multiply inside the parentheses
2(6+4)
Add inside the parentheses
2(10)
Multiply
20
Hola aquí va la respuesta!!!
[tex]20[/tex]
[tex] \saludos[/tex]
find the median from given data 2,5,1,6,3
Answer: Median = 3
Explanation:
Sort the numbers to get {1,2,3,5,6}. The middle most number is 3, so that's the median.
how do you figure out the percentage of 19 into 129
Answer:
14.73.
Step-by-step explanation:
Answer:
See image below for answer:)
Step-by-step explanation:
When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, determine the interval that represents the middle 68% of her commute times.
Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
which inequality does the graph represent?
A. y<-x-1
B. y<-x+1
C. y
D. y
Answer:
B) y < -x + 1
Step-by-step explanation:
you can see from the x-and-y intercepts that the equation of this line is:
y = -x + 1
now you must determine whether the equal sign should be replaced with '<' or '>'
you can use the point (0,0) to see if that makes y > -x + 1 true or false:
0 > 0+1 This is False
so the answer should be: y < -x + 1
Determine the number of bars and bar width in the histogram using the following 50 numbers. 26 39 39 22 18 8 52 69 15 2 60 87 98 10 39 50 3 41 62 29 78 97 60 72 65 15 24 14 14 98 50 60 17 82 44 52 91 77 52 71 9 98 36 93 43 86 87 20 93 98
Answer:
10 bars ; width 10
Step-by-step explanation:
Reordering the data given :
2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98
To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;
Range = 98 - 2 = 96
By extending the width slightly on either side, we have 0, 100.
If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;
Now our range = 100 - 0 = 100
Width = 10
Number of bars = range / bar width
= 100 / 10
= 10 bars
Is god real????
Answer ASAP
depends on what u believe in if u think he existed then yes if you dont then no
If a ladder reaches 10 feet up on a wall while the base is 3 feet away how tall is the ladder
Answer:
Side a = 10.44031
Side b = 10
Side c = 3
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad
Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad
Is god really real??
Answer ASAP
Many people answer this question
Answer:
yes
Step-by-step explanation:
that's that's I think
1.2 x 10^19 x 5.88 x 10^12
This is scientific Notation I need this urgent please give good explanation
9514 1404 393
Answer:
7.056 × 10^31
Step-by-step explanation:
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
__
[tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]
As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.
__
Additional comments
This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.
If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.
A production process manufactures alternators for tanks. On the average, 1.5% of the alternators will not perform up to specifications. When a shipment of 100 alternators is received at the plant, they are tested, and if more than 2 are defective, the shipment is returned to the manufacturer. What is the probability of returning a shipment
Answer:
0.1902 = 19.02% probability of returning a shipment
Step-by-step explanation:
For each alternator, there are only two possible outcomes. Either it is defective, or it is not. The probability of an alternator being defective is independent of any other alternator, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
1.5% of the alternators will not perform up to specifications.
This means that [tex]p = 0.015[/tex]
Shipment of 100 alternators
This means that [tex]n = 100[/tex]
What is the probability of returning a shipment?
Probability of more than 2 defective, which is:
[tex]P(X > 2) = 1 - P(X \leq 2)[/tex]
In which
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.015)^{0}.(0.985)^{100} = 0.2206[tex]
[tex]P(X = 1) = C_{100,1}.(0.015)^{1}.(0.985)^{99} = 0.3360[/tex]
[tex]P(X = 2) = C_{100,2}.(0.015)^{2}.(0.985)^{98} = 0.2532[/tex]
Then
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2206 + 0.3360 + 0.2532 = 0.8098[/tex]
Then
[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.8098 = 0.1902[/tex]
0.1902 = 19.02% probability of returning a shipment
Evaluate the function.
Answer:
f(-1) = 5
Step-by-step explanation:
To "evaluate the function f(x) = -x^2 + 6 at x = -1, we substitute -1 for x in each instance:
f(-1) = -(-1)^2 + 6
According to order of operations rules, exponentiation must be performed before multiplication or division. '-(-1)^2' thus becomes -1, and so
f(-1) = -(-1)^2 + 6 = -1 + 6 = 5.
Thus, f(-1) = 5
WILL MARK BRAINLIEST! An orchestra of 120 players takes 40 minutes to play Beethoven's 9th Symphony. How long would it take for 60 players to play the symphony?
Let P be the number of players and T be the time playing.
Trick question! ;)
Answer:
Since in an orchestra each player plays parallely, i.e. everyone plays the same line simultaneously, hence the length of the play never depends on the number of players playing it. Hence, time taken by 60 players = time taken by 120 players = 40 minutes. So 60 person will play the 9th harmony in same 40 minutes.
Step-by-step explanation:
Pls can someone help me
Answer:
I'm sorry but the question is not clear enough for me to understand the question asked snap the entire question
HELP plsssss I will GIVE YOU BRAINLYEST
Answer: B
Step-by-step explanation:
Answer:
-5ºC < 5ºC is an inequality that compares temperatures.
B is the correct answer for the multiple choice question.
The population of rabbits on an island is growing exponentially. In the year 1992, the
population of rabbits was 220, and by 1997 the population had grown to 400. Predict
the population of rabbits in the year 2000, to the nearest whole number.
Answer:
572.6
Step-by-step explanation:
400 = 220 [tex]x^{5}[/tex]
ln(400/220) = 5 ln(x)
ln(x) = .1195
x = [tex]e^{.1195}[/tex]
x = 1.127
Y = 220[tex](1.127)^{8}[/tex]
Y= 572.6
HELP PLEASE I"LL GIVE 50 POINTS. what is the ratio in simplest form between the length of a side in ΔMNO and the length of it's corresponding side in ΔXYZ
Answer:
1 : 2
Step-by-step explanation: trust
Answer:
3/1 Hope that helps
Step-by-step explanation:
can anyone help me do the slope for this?
Answer:
The value of the slope is 4
The meaning of the slope is y/x
Step-by-step explanation:
Find the quotient.
5^-3/5^-1
Answer:
3/35
Step-by-step explanation:
Find the area of the triangle. round your answer to the nearest tenth
Answer:
use photo math
Step-by-step explanation:
cuz i said so
Given that m angle G- 81", what is m angle I?
A)81"
B)89
C)91
D)99
Answer:
[tex]\text{D) }99^{\circ}[/tex]
Step-by-step explanation:
Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.
A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since [tex]\angle G[/tex] and [tex]\angle I[/tex] are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation:
[tex]\angle G+\angle I=180,\\81^{\circ}+\angle I=180,\\\angle I=180-81=\boxed{99^{\circ}}[/tex]
