Step-by-step explanation:
The given quadratic equation is :
[tex]3x^2 - 2x + 5 = 0[/tex]
We need to solve the given equation. The formula used to solve a quadratic equation is :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a = 3, b = -2 and c = 5
So,
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(5)}}{2(3)}\\\\x=0.333,4.667[/tex]
Hence, this is the required solution.
What is the solution to the equation below? vx-5=x-11
A. X=9
B. X=15
C. X=14
D. X=6
Answer:0=−6
Step-by-step explanation:
Find the greatest common factor of the following monomials 34c^5 and 26c^4 and 2c^6
Answer:
63c^5
Step-by-step explanation:
PLS HELP ME YOU DON'T HAVE YO SHOW UR WORK
Answer:
b.
-2/3
Step-by-step explanation:
2/3 + (-2/3)
2+-2/3
0
hope this helps :)
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
Answer:
This is a rectangle
Step-by-step explanation:
2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles
Note: When solving for k, round to four decimal places. A culture started with 5,000 bacteria. After 3 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after 13 hours. Round your answer to the nearest whole number. P = Aekt Enter the correct answer. DONE + ?
Answer:
5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book
Step-by-step explanation:
2. Joan spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended with 15 dollars?
14 dollars is her allowance
how do you find the area of a circle?
Answer:
The formula to find the area of a circle is pi times the radius squared (A = π r²).
Step-by-step explanation:
Divide $400 in the ratio 3 :5
Solution:
Given ratio - 3:5
1 part = 3
2 part = 5
Total no. of parts = 3 + 5 = 8 parts
400 / 8 = 50
3 * 50 = 150
5 * 50 = 250
I think that's it :D
A speed boat travels 1040 meter in 30 minutes. How far will it go in an hour? *
Answer:
2080 meters
Step-by-step explanation:
An hour is double of 30 minutes so, if you double the length it went you would get how far it goes in an hour, 2080 meters.
Write the first 4 multiples of 3/8
Multiples of 3
: 3, 6, 9, 12, 15, 18, 21, 24, ...
Multiples of 4
: 4, 8, 12, 16, 20, 24, ...
Multiples of 8
: 8, 16, 24, ..
2
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 2424
Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 3
: 3
Prime Factors of 4
: 2, 2
Prime Factors of 8
: 2, 2, 2
2
Find the union of these primes.
2,2,2,32,2,2,3
3
Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.
LCM = 2424
Graph the line with the equation y - 1/4x +5.
Answer:
Y-intercept=5 Slope=-1/4
Step-by-step explanation:
Plot a point on (0,5)
From that point, you can either go down 1 point and right 4 points, or you can go up 1 point and go left 4 points.
Whichever one you choose, plot a point after each 2 movements
if this is too confusing, another point would be (4, 4) then make a line through both points.
5(3m+2)
please help me
Answer:
(5x3m) + (5x2) = 15m + 10
Step-by-step explanation:
multiply 5 to 3m plus 5 to 2 which is equivalent to 15m + 10
HELP OKEAEE HELPE PELASE
Answer:
The y-intercept is 4
Step-by-step explanation:
If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation:
Help now ____________[_
Yes or no
Just pick one
Answer:
Yes
Step-by-step explanation:
a. How much warmer is 82 than 40?
b. How much warmer is 82 than -40?
a. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?
b. What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
Answer:
a. 42
b. 122
a. 57
b. 130
Step-by-step explanation:
For problem A:
because both of these values have positive numbers, just use normal subtraction
82 - 40 = 42 degrees warmer
For problem B:
because we are subtracting a negative number from a positive number, we add both of these numbers because 82 - -40 can also be equal to 82 + 40
82 - -40 = 122
For problem A:
the sentences 30m up a cliff and 87m up a cliff are describing positive values.
87 - 30 = 57
For problem B:
Now in this problem, the sentence 100m above the surface is describing a positive value, but the sentence 30m below the surface describes a negative value
how do I know this?
if the sentences above the surface and below the surface are describing positive and negative values, then there has to be a neutral value ( which is 0)
0 meters = the surface, because they are using both positive and negative values, meaning that the surface is the neutral value
by using a number line, you can draw it out like this
below the surface-------------------------the surface----------------------------above the surface
-30--------------------------------------------0--------------------------------------------100
therefore, 100 - - 30 = 100 + 30 = 130
n = 40, p=0.95, X = 38
P(38) =
Answer:
36.1
Step-by-step explanation:
On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson distribution on the highway. a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.)
Answer:
a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]
This probability is:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]
0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.
This is
[tex]P(X > 1) = 1 - P(X < 2)[/tex]
We have that [tex]P(X < 2) = 0.1992[/tex]
So
[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]
0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
can someone give me tips for flying on an airplane? ✈️
Answer:
chew gum for your ears
bring a pillow for you neck
download a movie
bring something to do with your hands
bring a jacket
use the restoroom before the flight
bring your own snacks
get a seat near the wings of the planes its the safest
make sure you put your name on your luggage
bring headphones
bring lots of fluids after getting through security
bring a breathable mask
Step-by-step explanation:
7ft
5ft
8ft
7ft
Find the area of each figure
if you borrow $1,200 for 3 years at an annual interest rate of 4% how much will you pay altogether
Answer:
$1,344.00
Step-by-step explanation:
A=P(1+rt)
A=1,200(1+(0.04)(0.03))
Factorise the expressions and divide them as directed.
Answer:
Here you go. Check the answer in book too.
Answer:
10m ( p - q )
Step-by-step explanation:
[tex] \frac{15lm \times 2 {cp}^{2} {q}^{2} }{3l(p + q)}[/tex]
[tex] \frac{30lm \: (p - q)(p + q)}{3l(p + q)} [/tex]
[tex] \frac{10lm(p - q)}{l} [/tex]
[tex]10m(p - q)[/tex]
Hope it is helpful....
when 3 times a number is added to it's square the total is 18
Answer:
x(the number)=3
Step-by-step explanation:
3×3+3squared = 18
Answer:
3x + x^2 = 18
x^2 + 3x - 18 = 0
(x + 6)(x - 3) = 0
x + 6 = 0
x = -6
x - 3 = 0
x = 3
Pls help with these math questions. Don't just do it for points pls I really need help . 3 questions Multiple choice
Answer:
6,7,7 is your answer
6.
3x+2=2x+8
x=6
Step-by-step explanation:
7.14x+12+10x=180
24x=180-12
x=168/24=7
8.9x-3=7x+11
9x-7x=11+3
2x=14
x=14/2=7
The sum of all even numbers from 0 to 420 is
Answer:
the sum of all even number from 0 to 420 is 175980
Does anybody know if it’s possible to find the answers online for Aleks math?
How many grams of a radioactive kind of neodymium will be left after 33 days if the half-life is 11 days and you start with
160 grams?
Answer:
20 grams will be left.
Step-by-step explanation:
Half-life is 11 days
This means that in each 11 days, you lose 50% of the amount.
33 days
33/11 = 3 half-lifes.
You start with 160 grams
After 11 days: 160/2 = 80 grams
After 22 days: 80/2 = 40 grams
After 33 days: 40/2 = 20 grams.
20 grams will be left.
Answer:10
Step-by-step explanation:
What is the value of n
. n=8cm.
Step-by-step explanation:
Answer:
where is the equation
Step-by-step explanation:
How many times can 45 go into 7,200?
Answer:
160
Step-by-step explanation:
divided 7200 by 45 to get 160