Answer and explain every step of your solution.
Answer:
min: (-2;-6) & (1; 3/4); max: (0;2).
Step-by-step explanation:
1) f`(x)=3x³+3x²-6x;
2) f`(x)=0, ⇒ 3x³+3x²-6x=0;
3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;
other steps are provided in the attachment.
The half-life of krypton-91 is 10 seconds. At time t = 0 a heavy canister contains 3 g of this radioactive gas. How much remains after one minute?
Half time of krypton 91 = 10s
this means, it reduces to half of the remaining in every 10s
So, In 10 sec , the mass remaining will be :
3/2 = 1.5
After 20 sec, the mass remaining will be :
0.75 g
After 30 sec, the mass remaining will be :
0.375
After 40 sec, the mass remaining will be :
0.1875 g
After 50 sec, the mass remaining will be :
0.09375 g
After 1 minute, the mass remaining will be:
0.046975 g
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
Step-by-step explanation:
3 divied \frac{3}{4}[/
Answer:
The answer is 4
Step-by-step explanation:
I did it and got it right
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Have a good day!
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if [tex]a_{1}[/tex]=4 and [tex]a_{n}[/tex]= [tex]5a_{n-1}[/tex]-1 then find the value of [tex]a_{3}[/tex]
========================================================
Explanation:
The first term is 4 because of the notation [tex]a_1 = 4[/tex]
To get the second term, we'll use the recursive equation [tex]a_n = 5(a_{n-1})-1[/tex] which basically says [tex]\text{nth term} = 5*(\text{previous term})-1[/tex]. To get the second term, we'll multiply the first term by 5, then subtract off 1.
2nd term = 5*(1st term) - 1
2nd term = 5*4 - 1
2nd term = 19
This means [tex]a_2 = 19[/tex]
We repeat this process again to find the third term [tex]a_3[/tex]
[tex]a_n = 5*(a_{n-1})-1\\\\a_3 = 5*(a_{3-1})-1\\\\a_3 = 5*(a_{2})-1\\\\a_3 = 5*(19)-1\\\\a_3 = 95-1\\\\a_3 = \boldsymbol{94}\\\\[/tex]
The third term is 94
Ged can fit six boxes each measuring 1
cubic metre (m') along the length of his
removals van. Two boxes fit across the
width and two boxes high. The
approximate total volume of boxes that will
fit in the van is
m3
Answer:
24 m3.
Step-by-step explanation:
6 * 2 * 2.
Johnny has a bag full of marbles that he keeps in his desk. He has 35 red marbles and 25 green marbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.
Answer:
7:5
Step-by-step explanation:
Ratio between red and green marbles is simply the number of red marbles to the number of green marbles.
---------------------
35:25
To simplify it, you divide both of them by 5 (which is the highest common factor) to get
--------------------
7:5
Sofia planted a maple tree sapling that was 5.5 inches tall. The tree grew 10 inches each year. Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, X. Y =
Answer:
y= (10*x)+5.5
Step-by-step explanation:
B)
Answer:
y = 10x + 5.5
Step-by-step explanation:
We can write our equation in slope-intercept form, which looks like y = mx + b. "m" is our growth rate, and "b" is our y-intercept, or starting value.
So, let's fill in "m" first. What is our growth rate? Well, 10 inches per year. So, we can replace "m" with 10: y = 10x + b. But we have to figure out which number to replace "b" with. In this scenario, Sofia planted the maple tree when it was already 5.5 inches tall. So, when it grows 10 inches per year, the inches are being added to that original value. 5.5 is our starting value: y = 10x + 5.5. And that's our final equation.
Hopefully that's helpful! :)
Please explain step-by-step! Thanks!
Random answers will be reported
Step-by-step explanation:
what is your questions?????Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 12 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 42 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Step-by-step explanation:
so, he predicted he had 12 questions wrong.
that would have been a score of 38.
but he got 42.
that is a difference of 42-38 = 4.
now, accuracy could have different meanings like actual score vs. predicted score, or which questions were right or wrong (for real or predicted), or only looking at the questions that were right (real vs. predicted), ...
I assume it is the first one.
so,
100% = 38 (prediction)
1% = 100%/100 = 38/100 = 0.38
how many % are these 4 questions that his prediction was off from reality ?
4 / 0.38 = 10.52631579...
so, his prediction was off by about 10.53%
Select the correct expression. Which expression is equivalent to 5^4 · (5^-2)^3 ?
5-^3
5^2
5^-2
5^-1
we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2
ok done. Thank to me :>
[tex]--------------[/tex]
12+12+12
Answer:
[tex]12 + 12 + 12 = 36 \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
Pre-Algebra simple question
Step-by-step explanation:
multiplication
yep that is the answer
Answer:
multiplication should be used
T/19+4=5. T/19=1. T=
Answer:
t is 19.
Step-by-step explanation:
Subtract 4 from both sides.
Next, multiply both sides by 19.
Plzzzz help meeeee plzzzz helppmmmmeee
for g(x)=2x^2-8x-10 find each value
g(2)
g(5)+12
g(8)-18
g(-3)-g(4)
Answer: ask your teacher duh
Step-by-step explanation:
Plz help .!$&&&&&&&&&
The thing dosnet show
Is -3/4 greater than -0.25
Answer: No
Step-by-step explanation:
you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.
Answer:
-0.25 is greater than -0.75
Step-by-step explanation:
usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.
Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
I don't know sorry.
Sorry!
Which theorem does it offer proof of?
Answer:
vertical angles are =
Step-by-step explanation:
What is the slope of this line?
−12
12
2
2 is the answer!!
MARK ME BRAINLIEST PLSSSSplease someone help me answer this question. file is attached.
Answer:
ok so im pretty sure it is 6 pans with 2 cups left over
Step-by-step explanation:
so 2 1/2 times 6 is 15 since we cant get it exactly, so you use 6 which is 15 and you figure out what was leftover which is 2
What is the greatest common factor (GCF) of 14 and 21?
Answer:
7
Step-by-step explanation: u get 14 by multiplying 2 and 7 and u get 21 by multiplying 7 times 3
[tex]14 = 7 \times 2 \\\\21 = 3 \times 7\\\\GCF = 7[/tex]
help me with this please!
During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?
Answer:
Im soooooo hungry ughhh
Step-by-step explanation:
Hi
$200 is shared between two friends Mary and John in the ratio 3 : 2 respectively. What is the result?
Answer:
John: $80
Mary: $120
Step 1: Add the ratios (3 and 2).
=> 3 + 2 = 5
Step 2: Divide 200 by 5.
=> 200 ÷ 5
= 40
Step 3: Multiply.
=> Mary total: 40 x 3 = $120
=> John total: 40 x 2 = $80
Hoped this helped
Rickets Vitamin D is essential for strong, healthy bones. Our bodies produce vitamin D naturally when sunlight falls upon the skin, or it can be taken as a dietary supplement. Although the bone disease rickets was largely eliminated in England during the 1950s, some people there are concerned that this generation of children is at increased risk because they are more likely to watch TV or play computer games than spend time outdoors. Recent research indicated that about 20% of British children are deficient in vitamin D. Suppose doctors test a group of elementary school children.
a) What’s the probability that the first vitamin D– deficient
child is the eighth one tested?
b) What’s the probability that the first 10 children tested
are all okay?
c) How many kids do they expect to test before finding
one who has this vitamin deficiency?
d) They will test 50 students at the third-grade level. Find
the mean and standard deviation of the number who
may be deficient in vitamin D.
e) If they test 320 children at this school, what’s the
probability that no more than 50 of them have the vita- min deficiency?
Answer:
Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.
I’ll mark the brainiest
Answer: 122°
Step-by-step explanation:
Because angles on a straight line are supplementary (add up to 180°), then:
m∠2 = 180° - 58°
= 122°
pls I need an answer it's due tomorrow
Answer:
1)
Factors of 25: 1, 5, 25
Factors or 75: 1, 3, 5, 15, 25, 75
Multiples of 25: 25, 50, 75
Multiples of 75: 75, 150, 225
2)
Factors of 35: 1, 5, 7, 35
Factors of 45: 1, 3, 5, 9, 15, 45
Multiples of 35: 35, 70, 105
Multiples of 45: 45, 90, 135
3)
The factors of 21: 1, 3, 7, 21
The factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Multiples of 21: 21, 42, 63
Multiples of 56: 56, 112, 168
4)
The factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
The factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Multiples of 54: 54, 108, 162
Multiples of 72: 72, 144, 216
5)
The factors of 27: 1, 3, 9, 27
The factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The multiples of 27: 27, 54, 81
The multiples of 36: 36, 72, 108
6)
The factors of 12: 1, 2, 3, 4, 6, 12
The factors of 16: 1, 2, 4, 8, 16
The multiples of 12: 12, 24, 36
The multiples of 16: 16, 32, 48
Math Essay Solve for g. make sure to show your work
(16 divided 4)(3x7)=g
Answer:
84 = g
Step-by-step explanation:
(16 ÷ 4)(3 × 7) = g Divide
4(3 × 7) = g Multiply
4 × 21 = g Multiply
84 = g Simply