Answer:
Sponge Bob Square Pants!
Absorbent and yellow and porous is he.
Sponge Bob Square Pants!
If nautical nonsense be somethin' ya wish.
Sponge Bob Square Pants!
Then drop on the deck and flop like a fish.
Sponge Bob Square Pants!
Ready?
Sponge Bob Square Pants,
Sponge Bob Square Pants,
Sponge Bob Square Pants,
Sponge Booob Square Paaants!
Ah Ha Ha, Ha Ha Ha, Ha, hArgh wh..arire..Ha arrrigh.
Step-by-step explanation:
9/5 ÷ 2/5 Show your work.
Answer:
9.4
Step-by-step explanation:
9/5 / 2/5=9.4
1 4/5 / 2/5 = 9.4
Answer: 9/2
Step-by-step explanation:
9/5 divided by 2/5
you keep 9/5 you change the divide sing into a times then you flip 2/5 to 5/2 then you times them and cross cancel.
Find f(-5) × f(-3) f(x) = - x - 12
Answer:
63
Step-by-step explanation:
Step 1: Define
f(x) = -x - 12
f(-5) is x = -5
f(-3) is x = -3
Step 2: Find f(-5)
f(-5) = -(-5) - 12
f(-5) = 5 - 12
f(-5) = -7
Step 3: Find f(-3)
f(-3) = -(-3) - 12
f(-3) = 3 - 12
f(-3) = -9
Step 4: Find f(-5) × f(-3)
-7 × -9
63
3.8.10) Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2 per cubic millimeter. Deter mine the following:
(a) Probability of at least one inclusion in a cubic millimeter.
(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.
(c) Volume of material to inspect such that the probability of at least one inclusion is 0.98
(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
Answer:
a) P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) y = 0,8494 mm³
d) λ = 1,69897 inc per mm³
Step-by-step explanation:
a) P(X>=1) = 1 - P(X=0)
P(X = 0) = λ⁰ * e∧⁻λ / 0! where λ = 2 in/mm³
P(X = 0) = e∧-2 ⇒ P(X = 0) = 0,2706
Then
P(X>=1) = 1 - 0,2706
P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) 3 inc. in 4 mm³ = 2*4/3 λ = 2,67 inc. per mm³
P(X>=3) = 1 - P(X=1 ) - P(X=2)
P(X=1) = λ¹ * e∧-λ / 1! ⇒ P(X=1) = 2,67 *e∧- 2,67/1
P(X=1) = 0,1846
P(X=2) = λ² * e∧-λ / 2! ⇒ P(X=2) = (2,67)² * e ∧ - 2,67/2
P(X=2) = 7,1289* 0,06925/2 ⇒ P(X=2) = 0,2468
Then
P(X>=3) = 1 - 0,1846 - 0,2468
P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) P(X>=1) = 0,98
and λ = 2*y where y is the quantity of material
P(X=0) = 1 - P(X>=1)
P(X=0) = 1 - 0,98 P(X=0) = 0,02
0,02 = (2*y)⁰ * e ∧ -2*y /0!
0,02 = 1 * e ∧ -2*y
Taking log on both sides of the equation
log (0,02) = -2*y - 1,69897 = - 2*y
y = 0,8494 mm³
d) P(X >=1 ) = 1 - P( X = 0)
0,98 = 1 - P( X = 0)
P( X = 0) = 0,02
0,02 = λ⁰ * e ∧ - λ / 0!
0,02 = e ∧ -λ
Taking log on both sides of the equation we get:
log ( 0,02 ) = - λ
- 1,69897 = - λ
λ = 1,69897 inc. per mm³
Please help me understand how to solve equations like these, I don’t understand them:
Answer:
subtract the unwanted b termdivide by the coefficient of bb = 60Step-by-step explanation:
The numbers 4/5 and 9/10 are fractions. They multiply the variable 'b' in each case.
How to solve an equation like this
An example of an equation like this without fractions is ...
6 + 3b = 8b
You solve this sort of equation by rearranging the equation so the terms having 'b' in them are all on one side of the equal sign. You want all of the terms not containing 'b' to be on the other side of the equal sign.
Here, the terms are mixed on the left, but the right has only a 'b' term. So, if we can remove the 'b' term from the left side, we will have reached the goal
In the example equation, we do that by adding -3b to both sides of the equation.
6 +3b -3b = 8b -3b
Simplifying, we have ...
6 = 5b
Now, we divide by the coefficient of 'b', which is 5. We divide both sides of the equation by that:
6/5 = (5b)/5
6/5 = b . . . . after simplifying
_____
How to solve this equation
The given equation is solved exactly the same way. We add the opposite of the 'b' term that we don't want (which is 4/5b):
6 + 4/5b -4/5b = 9/10b -4/5b
Simplifying, this is ...
6 = (9/10 -4/5)b = (9/10 -8/10)b
6 = 1/10b
We can make the coefficient of 'b' be 1 by multiplying it by 10. We have to do that to both sides of the equation:
(10)(6) = (10)(1/10)b
60 = b . . . . . the solution
_____
Comment on equations in general
The one absolute rule in Algebra is that the equal sign must remain valid. You keep that commandment by observing the properties of equality. Essentially, you can do anything you like to one side of an equation, as long as you do exactly the same thing to the other side.
Here, when we say "subtract 4/5b", the way we keep this commandment is that we do it to both sides of the equation. The same is true for "multiply by 10". This is emphasized by the bold highlighting in the solution shown above.
Comment on arithmetic
In solving this equation, we did the arithmetic using the given fractions. Often, for an equation like this, you will be told the first step is to "eliminate fractions". You can do that here by multiplying the equation by 10:
10(6 +4/5b) = 10(9/10b)
60 +8b = 9b
Now, the unwanted term is 8b, so subtracting that (from both sides) gives ...
60 = b
This is essentially a "2-step" equation, either way you do it.
It is helpful if you are comfortable doing arithmetic with fractions, mixed numbers, decimals, percentages, and numbers in scientific notation, as well as integers.
prove that the following lines are parallel to each other.
3x+4y-7=0 and 6x+8y-11=0
(plzz do in process )
Answer:
Yes, they are paralle.
Step-by-step explanation:
Step-by-step explanation:
Hey there!
Here;
The equations are:
3x + 4y - 7 = 0.............(I)
6x + 8y -11 = 0.........(ii)
Let's simply work with this.
From equation (I)
[tex]slope(m) = \frac{ - coeff.of \: x}{coeff.of \: y} [/tex]
[tex]m1 = \frac{ - 3}{4} [/tex]
From equation (ii)
[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m2 = \frac{ - 6}{8} [/tex]
[tex]m2 = \frac{ - 3}{4} [/tex]
As per the condition of parallel lines;
M1 = M2
-3/4 = -3/4. (true)
Therefore, the lines are parallel to eachother.
Hope it helps...
Solve the inequality
4(x + 3) - 72 x + 3(x + 1)
Answer:
= -65x + 15
Step-by-step explanation:
You Welcome ❤
Answer:
=-65+18i think sorry I'm not much help but I hope it was right
Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function h(t)=-5t^2+2t+39
Will the ball reach height of 41 meters. What is the discriminate?
Please help me, please
Answer:
The ball will not reach a height of 41 meters.
The discriminate is 784
Step-by-step explanation:
You know that the height h of the ball, in meters, at time t seconds is modeled by the function h(t) = - 5*t² + 2*t + 39
To find out if the ball will reach a height of 41 meters, you must calculate the maximum of the function, that is, the highest or highest point on the graph. That is, the maximum in a function f is the largest value that the function takes.
The vertex is a point that is part of the parabola, which has as its ordinate the maximum value (as in this case) or minimum value of the function. That is, the vertex is the maximum of the function (as in this case) or minimum.
In this case, the maximum of t is obtained by:
[tex]t=\frac{-b}{2*a}[/tex]
Being a=-5 and b=2 (comparing with a quadratic function of the form: f(x)=a*x² + b*x +c)
[tex]t=\frac{-2}{2*(-5)}[/tex]
t= 0.2
The maximum height value must be obtained by substituting the previously calculated value of t in the function:
h(0.2) = - 5*0.2² + 2*0.2 + 39
h(0.2)=39.2
So the maximum height the ball will reach is 39.2 meters. The ball will not reach a height of 41 meters.
The discriminate of a quadratic function is:
Δ=b²-4*a*c
In this case, being a=-5, b=2 and c=39, the discriminate is:
Δ=2²-4*(-5)*39
Δ= 4+780
Δ= 784
The discriminate is 784
The first derivative test is the process of analyzing functions using their first derivatives in order to find their extreme point.
No, ball can not reach at height of 41 meters.
Since, The height h of the ball, in meters, at time t seconds is modeled by the function [tex]h(t)=-5t^2+2t+39[/tex]
To find maximum height where can ball reach. We use first and second derivative test.
[tex]h(t)=-5t^2+2t+39\\\\\frac{dh}{dt}=-10t+2[/tex]
Now, equate above derivative to zero.
[tex]-10t+2=0\\\\t=1/5[/tex]
Now, find second derivative
[tex]\frac{d^{2}h }{dt^{2} } =-10[/tex] , Which is less than zero.
Therefore, at t= 1/5 second , will give maximum height that can ball reach.
So, h(1/5) = 39.2 meters.
That is, ball can reach at 39.2 meters.
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Use the Distributive Property to expand the expression -(u-v)
Answer:
(U+V) is the answer to the solution
I need help plz mark brainliest
Answer:
Yes, No, No, Yes
Step-by-step explanation:
Answer:
A.) No
B.) No
C.) No
D.) Yes
Step-by-step explanation:
I just did it a month ago.
Make a proportion for the following word problem and answer the question.A zippster car can travel 342 miles every 3 hours. How far can Michelle’s zippster car travel in 14 hours?FOR 25 POINTS
Answer:
1596 miles
Step-by-step explanation:
A suitable proportion can be ...
[tex]\dfrac{\text{miles}}{\text{hours}}=\dfrac{M}{14\text{ h}}=\dfrac{342\text{ mi}}{3\text{ h}}\\\\M=\dfrac{14\cdot 342}{3}\text{ mi}=1596\text{ mi}[/tex]
We solved it by multiplying both sides by 14 hours. The units of hours cancel, leaving units of miles.
Michelle's car can travel 1596 miles in 14 hours.
factor 4x^2 -6w+2x-12xw
Answer:
2(2x+1)(x-3w)
the perimeter of a semicircle is 5.14 millimeters what is the semicircle diameter
Answer:
2 mm
Step-by-step explanation:
let the radius of the semi-circle be r
Then,
length of curved portion = 1/2 x circumference = (1/2) (2)(π)r = πr
length of straight portion = diameter of circle = 2r
Hence, we can write an expression for the perimeter
Perimeter = length of curved portion + length of straight portion
Perimeter = πr + 2r
Perimeter = (π + 2)r
since we are given the perimeter = 5.14, assuming that π=3.14, our equation becomes:
5.14 = (3.14 + 2)r
5.14 = 5.14 r
r = 5.14 / 5.14 = 1
Hence, diameter = 2r = 2(1) = 2 mm
-3-(3-10)
can someone help me find the answer to this integer problem plz
question likh kar bhej dijiye
Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. How much money will she have in this account if she keeps it for 8 years? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.
Answer:
The answer is 4062.39
Step-by-step explanation:
A=$2,400(1+0.0681)1(8). Simplify using the order of operations: A=$2,400(1.068)8=$2,400(1.692661131)≈$4,062.39.
The amount of money after 8 years will be $4062.38.
What is compound interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.
Given that Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. The amount after 8 years will be calculated as below:-
Amount = P [ 1 + ( r / n )]^(nt)
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Amount = 2400 [ 1 + ( 0.068 / 1 ) ] ⁸
Amount = 2400 [1.068 ) ] ⁸
Amount = 4062.38
Therefore, the amount of money after 8 years will be $4062.38.
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what is the slope between the points (1,19) and (-2,-7) simplify
Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. What would Stacy spend if she bought 15 tickets?
Answer:
$52.50
Step-by-step explanation:
C = 3.5t
C = 3.5 (15)
3.5 × 15 = 52.5
C = $52.50
the exact value of 5.2 billion ÷100 is
(use scientific notation, round to three decimal places as needed)
The answer is:
5.2 x 10^7 or 52,000,000
Solve for y.
2y − 2 = 8
y =
Answer:
y=5
Step-by-step explanation: 8+2=10 so 10/2=5
Which expression is shown by the model? 28 + 14 = 7 (4 + 14) 28 + 14 = 4 (7 + 2) 28 + 14 = 4 (14 + 28) 28 + 14 = 7 (4 + 2)
Answer:
ay
Step-by-step explanation: step by step
The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 4,700 students who would like to take a course, and there are 58 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor?
Answer:
The number of sections in Ancient history is 10, number of students in Medieval history is 22 and the number of students in Modern history is 13.
Step-by-step explanation:
[tex]x[/tex] = Number of sections in Ancient history
[tex]y[/tex] = Number of sections in Medieval history
[tex]z[/tex] = Number of sections in Modern history
The number of sections that are allowed is 45 so
[tex]x+y+z=45[/tex]
The number of students in each section is 4700 where 100 of them take ancient history 50 of them take medieval history and 200 take modern history so
[tex]100x+50y+200z=4700[/tex]
The number of professors is 58 where Ancient and Medieval History need only 1 professor per section and Modern History sections are taught by a team of 2 professors, so
[tex]x+y+2z=58[/tex]
Solving the first and last equations by subtracting them we get
[tex]-z=-13\\\Rightarrow z=13[/tex]
Substituting this value in the second equation and first equation we get
[tex]100x+50y+2600=4700\\\Rightarrow 100x+50y=2100\\\Rightarrow 2x+y=42[/tex]
[tex]x+y+13=45\\\Rightarrow x+y=32[/tex]
Solving these equations by subtracting them we get
[tex]x=10[/tex]
[tex]x+y=32\\\Rightarrow y=32-10=22[/tex]
So, [tex]x=10, y=22, z=13[/tex]
Hence, the number of sections in Ancient history is 10, number of students in Medieval history is 22 and the number of students in Modern history is 13.
Three hundred seventeen kids went on a field trip last
Tuesday. There were supposed to be six full buses, but
seven kids were sick that day. How many kids fit on
each bus?
Write an equation
Answer:
(317-7)/6≈52
Step-by-step explanation:
There was approximately 52 kids in each bus
Total number of kids = 317
Total number of buses = 6
Number of kids sick = 7
Therefore, the number of kids on each bus will be:
= (317 - 7) / 6
= 310/6
= 51 2/3
= 52 kids approximately
In conclusion, there was approximately 52 kids in each bus.
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The slope of the line passing through the points (2,3) and (4, y) is
3/2. What is the value of y?
Answer:
6
Step-by-step explanation:
y2-y1 y-3 =3 what -3 =3? 6 :)
x2-x1 4-2 = 2
slope is 3/2
Bits are items of ________.
A. Biannual data
B. Bimodel data
C. Binary data
D. Binomial data
Answer:
C. Binary Data
Step-by-step explanation:
g The number of individuals arriving at a food pantry in a small city averages eight per day. Assume the Poisson distribution. What is the probability that, on any given day, there will be 9 individuals arriving at the food pantry
Answer:
The probability that on any given day, there will be 9 individuals arriving at the food pantry is 0.1241
Step-by-step explanation:
Here, we are to use Poisson distribution probability formula
Please check attachment for detailed explanation
Three less than the product of a number and two
3/4 ( 1/2× -12) + 4/5
Fill in the blank?!?!? PLEASE HELP ME SOON AS POSSIBLE
Answer:
5
Step-by-step explanation:
mark braniac
Answer:
x = 5
Step-by-step explanation:
let's take the blank as x
(-2+5) (x)/3 = 5
3 × x/3 = 5
cross multiply
3x = 15
x = 5
If the sum of four consecutive numbers is 942, what is the last one?
Answer:
237
Step-by-step explanation:
SHOW WORK ILL MARK BRAINLIST !!!!
Answer:
Let's see what to do buddy....
Step-by-step explanation:
_________________________________
Step (1)
[tex]f(x) = 3x - 2[/tex]
[tex]g(x) = {x}^{2} - 5 [/tex]
_________________________________
Step (2)
We need to find f(2) first ;
To do this we must put 2 instead of the x in f(x) function.
Let's do it :
[tex]f(2) = 3(2) - 2[/tex]
[tex]f(2) = 6 - 2[/tex]
[tex]f(2) = 4[/tex]
_________________________________
Step (3)
Now we are going to find g( f (2) ) ;
Look :
[tex]g( \: f(2) \: ) = g(4)[/tex]
So we want to find g(4) ;
which means we must put 4 instead of the x in g(x) function.
Let's do it :
[tex]g(4) = ({4})^{2} - 5 [/tex]
[tex]g(4) = 16 - 5[/tex]
[tex]g(4) = 11[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
The aquarium where Fred works has a special tank for the baby sharks. The tank is shaped
like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the
bottom of the tank to the top. What is the volume of the shark tank?
the answer is instruments that detect earthquakes