How much time will it take for a car to travel 250meters if it is traveling at 70 m/s?
Answer: approximately 3.57 seconds
========================================================
Work Shown:
x = number of seconds
distance = speed*time
250 meters = (70 m/s)*(x seconds)
250 = 70x
70x = 250
x = 250/70
x = 3.57142857142858
x = 3.57
It takes approximately 3.57 seconds for the car to travel 250 meters, when it travels a constant speed of 70 meters per second.
A radioactive material disintegrates at a rate proportional to the amount currently present. If Q(t) is the amount present at time t, then dQ/dt =−rQ where r>0 is the decay rate.
Required:
If 100 mg of a mystery substance decays to 81.14 mg in 4 weeks, find the time required for the substance to decay to one-half its original amount.
Answer:
For the substance to decay to one-half of its original amount, it will take:
10.6 weeks.
Step-by-step explanation:
The decay rate = dQ/dt= -rQ
Where r > 0.
100 mg of a mystery substance decays to 81.14 mg in 4 weeks
This implies that it has decayed by 18.86 mg (100 - 81.14) in 4 weeks
The rate of decay per week = 4.715 mg (18.86 mg/4)
For the substance to decay to one-half of its original amount, i.e. 50 mg (100 mg/2), it will take 10.6 (4/18.86 * 50) weeks.
We can also determine the time it will take the substance to decay by working with the decay rate and the volume of decay, thus:
Decay rate = 4.715 / week
Decay volume = 50 mg (100 mg/2)
Time for 50 mg to decay = Decay volume/Decay rate
= 50 mg/4.715
= 10.6 weeks
Brenna has a ribbon that is 6 meters long She cuts it into pieces that measure 2 meters. What fraction of the ribbon is one piece?
Answer:
1/3
Step-by-step explanation:
plz mark brainliest.
Point a (2,2) and d (-4,-3) are located on a grids what measurement is closest to the distance between point a and point d
Answer:
6 or 7
Step-by-step explanation:
Answer:
oh yo tuff
dfssfc dsfv ddfs f wqd waf sg
an investor has 200k to invest among 4 possible investments including apple Inc. Each investment must be in units of 10k. Out of 200k, at least 50k must be invested to apple inc. If the whole 200k is invested, how many different investment strategies are possible
Answer:
The four investments are possible.
Step-by-step explanation:
Investor has 200k to invest,
The 4 investment are:
1. Apple inc
2. B inc
3. C inc
4. D inc
Assuming the other three investments are B, C and D.
If 50k is invested in Apple inc, how much is left?
200k -50k = 150k
This remaining 150k can shared equally amongst the other three investments ;
150/ 3 = 50
Therefore each investment will get 50k each.
Bob's Trees are selling trees. You have decided to buy some holiday trees to
donate to local nursing homes. They are selling for $50 each. If you have a
total of $400.00 to spend, how many trees were you able to donate?
Solve the equation -3h + 6 = -15 for h.
A. -10
B. -8
C. -7
D. 7
Answer: D. 7
Step-by-step explanation:
what is the ratio for stars and circles 5 stars 2 stars
Answer:
It will be 5:2 or 2:5
Step-by-step explanation:
Both numbers are for stars
What is the total amount for an investment of $1,250 invested at 9.6% for 12 years and compounded continuously?
A ≈ $3955.64
B ≈ $5006.50
C ≈ $4062.65
D ≈ $6125.25
HELP PLEASSEEEE I NEED TO FIND THE MISSING SIDE HYPOTENUSE
Answer:
B. 6.5
Step-by-step explanation:
You can use the 5 against the unknown number and add a few more moves which makes it 6.5.. It's easier in my head man.
Select the algebraic expression with two variables and one constant.
Answer:
A) 3 - 2p + 8g
Step-by-step explanation:
This is the only answer that has two variables in it, so through process of elimination you can say that the answer would be A.
Two variables: p and g
Constant: 3
Hope this helps!
What is the value of
x^3+ 4, when x = 6?
Solve for x: 7x = 63 A. x = 70 B. x = 56 C. x = 7 D. x = 9
Answer:
Hi! The correct answer is D. x= 9
Step-by-step explanation:
Divide each term by 7 and simplify.
Jordell made 45% of his shots he took during the basketball game. If he attempted 40 shots, how many times did he score?
This is the last question on my quiz whoever answers gets brainliest!! Please answer correct.
Which Fraction is equivalent to 3/12?
3/4
1/4
3/36
Answer:
1/4
Step-by-step explanation:
3/12 ÷3= 3÷3=1 and 12÷3=4
Let X have the probability mass function P(X = −1) = 1 2 , P(X = 0) = 1 3 , P(X = 1) = 1 6 Calculate E(|X|) using the approaches in (a) and (b) below. (a) First find the probability mass function of the random variable Y = |X| and using that compute E(|X|). (b) Apply formula (3.24) with g(x) = |x|. For reference, formula 3.24 states
Answer:
Step-by-step explanation:
From the given information:
Note that the possible values of Y are 0 and 1 because;
y = 0 if X = 0 and y = 1 if X = ±1
∴
[tex]P(Y =0) = P(X = 0) =\dfrac{1}{3}[/tex]
[tex]P(Y = 1) = P(X = -1 \ or \ 1) \\ \\ = P(X = -1) + P(X = 1)[/tex]
[tex]= \dfrac{1}{2}+ \dfrac{1}{6}[/tex]
[tex]=\dfrac{3+1}{6}[/tex]
[tex]= \dfrac{2}{3}[/tex]
b)
[tex]E(|X|) = \sum |x| P(X=x) = ( 1 \times \dfrac{1}{2}) + ( 0\times \dfrac{1}{3}) + ( 1 \times \dfrac{1}{6})[/tex]
[tex]= \dfrac{2}{3}[/tex]
Find the value of this expression if x = 5.
x2 – 5
2,9,20,35,54,77
What's this pattern
What's the next 3 sequence
We have that for the Question ,it can be said that the next 3 sequence is
104135 170Respectively
Generally
We notice that the difference between numbers in the sequence rises by 4
therefore
For the first differ
9-2=7
7+4=11
Hence
11+9=20
Generally
for the sixth value
4*5=20
20+7=27
27+77=104
Therefore
the next 3 sequence is
104135 170Respectively
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The distance a freely falling body covers in the nth second is given by s(n)=d(n)-d(n-1). Show s(n) in terms of g, in simplified form
Answer:
A(n)=a+(n−1)d
Step-by-step explanation:
I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY
The function below has at least one rational zero. Use this fact to find ALL zeros of the function.
g(x)=5x^3+x^2-20^x-4
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
[tex] \frac{g= {5}^3+ {x}^2−20x−4x}{x} [/tex]
That is the value after the equation
Which of the following is a rational number?
8
91
JT
48
49
Answer:
A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction
Step-by-step explanation:
91, 49, 48, 8 are rational number
What is the approximate distance from one corner of the soccer field to the opposite corner?
60
yards
9.6
100 yards
Answer:
I think Your best answer would be 117 yards.
Step-by-step explanation:
zearn.org
MIL
Fraction Problem Solving
Sign out
Hector read of a book in the morning, and he read some more at night. By the end of the day.
he still had of the book left to read. How much of the book did Hector read at night? -)
Solve on paper. Then check your work on Zearn.
1 book
Morning
Left
Night
4
2 / 3
?
Hector read
of the book at night.
Enter ✓
Which is more likely to be closer to the true percentage of patients who will have their blood pressure lowered by the drug? 75% or 90%? Explain your answer.
Answer:
i honestly think it's 75%
Step-by-step explanation:
drugs are powerful
What is the inverse of the function f(x) = 2x+1
Answer:
[tex]f(x)=\frac{x-1}{2}[/tex]
can u help with 16-19
PLEASE HELP ME 12 POINTS
Answer:
∡A = 48°
∡B = 58°
∡BCA = 74°
Step-by-step explanation:
start by finding m∡BCA; this angle is supplementary with ∡BCD and the pair must add up to 180. therefore, m∡BCA = 74°
all three interior angles of a triangle must add up to 180:
74 + 4y + 3y + 22 = 180
96 + 7y = 180
7y = 84
y = 12
substitute '12' for 'y' in 3y + 22 to get 58
substitute '12' for '4y' to get 48
g A cell phone company is considering using a new manufacturer to produce batteries for their phones. The company distributes a random sample of cell phones with the new batteries to 13 of their employees to record how long the battery will last with typical usage. The length of time each battery lasts is recorded (in hours) in the set below. LaTeX: \left\{32.3,\:28.8,\:29.1,\:29.5,\:30.8,\:31.0,\:17.5,\:34.5,\:23.5,\:33.0,\:31.7,\:28.6,\:27.4\right\}{ 32.3 , 28.8 , 29.1 , 29.5 , 30.8 , 31.0 , 17.5 , 34.5 , 23.5 , 33.0 , 31.7 , 28.6 , 27.4 } On a blank sheet of paper, find the following information. You may use a calculator, and you may discuss this assignment with your classmates, but you must show all your work (including any formulas or calculations you use), and the work must be your own. Be neat and clearly mark your answer. The range. The mean. The median. Q1 and Q3. The IQR. The variance. The standard deviation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
32.3 , 28.8 , 29.1 , 29.5 , 30.8 , 31.0 , 17.5 , 34.5 , 23.5 , 33.0 , 31.7 , 28.6 , 27.4
Reordered data:
17.5, 23.5, 27.4, 28.6, 28.8, 29.1, 29.5, 30.8, 31.0, 31.7, 32.3, 33.0, 34.5
The mean ; m
Mean, m = Σx /n
Σx = 377.7
n = sample size = 13
m = Σx / n = 377.7 / 13 = 29.05
Median = 1/2(n+1)th term
= 1/2(14) = 7th term = 29.5
Range = maximum - minimum
Range = 34.5 - 17.5 = 17
Lower quartile (Q1) = 1/4(n+1)th term
1/4(14)th term = 3.5th term
(3rd + 4th) / 2
= (27.4 + 28.6) / 2
= 28
Upper quartile (Q3) = 3/4(n+1)th term
3/4(14)th term = 10.5th term
(10th + 11th) / 2
= (31.7 + 32.3) / 2
= 32
IQR = Q3 - Q1
IQR = 32 - 28 = 4
Variance : (V) = Σ(x - m)²/n-1
[(32.3-29.05)^2 +(28.8-29.05)^2 + (29.1 - 29.05)^2 + (29.5-29.05)^2 + (30.8-29.05)^2 + (31.0-29.05)^2 + (17.5 - 29.05)^2 + (34.5-29.05) ^2 + (23.5-29.05)^2 + (33.0-29.05)^2 + (31.7-29.05)^2 + (28.6-29.05)^2 + (27.4 - 29.05)^2] / 12
Variance = 19.76
Standard deviation = sqrt(variance)
Standard deviation = sqrt(19.76)
Standard deviation = 4.45
Ginger buys lunch at school every day. She always gets pizza when it is
available. The cafeteria has pizza about 80% of the time.
Ginger runs a simulation to model this using a random number generator. She
assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = no pizza available
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available
The table shows the results of the simulation,
08458 47165 68194 88490 01841
43226 12924 52568 93039 39406
What is the estimated probability that Ginger will eat pizza for lunch every day
next week?
A. 0.0
B. 0.2
C. 0.4
D. 0.8
Answer:
0.2
Step-by-step explanation:
43226 and 52568
The Probability that Ginger will eat pizza for lunch every day for next week is 0.2.
What is Probability?Probability is "possibility that deals with the occurrences random event. It values varies from 0 to 1".
According to the question,
Ginger assigns digits 0 and 1 = no Pizza available and also assign digits
2,3,4,5,6,7,8 and 9 = Pizza available.
The table shows the results of the simulation,
08458 this simulation contains digit '0' so there is no pizza.
47165 this simulation contains digit '1' so there is no pizza.
68194 this simulation contains digit '1' so there is no pizza.
88490 this simulation contains digit '0' so there is no pizza.
01841 this simulation contains digits '0 and 1' so there is no pizza.
43226this simulation contains no digits '0 and 1' so there is pizza available.
12924 this simulation contains digit '1' so there is no pizza.
52568 this simulation contains no digits '0 and 1' so there is pizza available.
93039 this simulation contains digit '0' so there is no pizza.
39406this simulation contains digit '0' so there is no pizza.
Total number of simulation = 10.
Formula for Probability = [tex]\frac{Number of favorable events }{Total number of outcomes}[/tex]
Probability of availability of Pizza = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex] = 0.2.
Hence, the Probability that Ginger will eat pizza for lunch every day for next week is 0.2.
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The temperature in the morning is 18.6 C. By noon the temperature rises 8.5 C. What is the temperature at noon
Answer:27.1c
Step-by-step explanation:
18.6 + 8.5 =27.1
Answer:
27.1
Step-by-step explanation: