It will take [tex] 1.392 \times {10}^{10} \: years[/tex] for the entire population of the Earth to pick a mole of pea at the specified rate.
1 mole of a substance is given by :
[tex]6.022 \times {10}^{23} [/tex]Rate per person = 1 pea per secondWorking 15 hours per day ; 365 days per year
1 person will pick = (1 × 365 × 15) = 5475 peas per year Taking the world population as 7,900,000,000 people Number of peas picked per year = (7,900,000,000 × 5475) = 43252500000000The time taken to pick 1 mole of pea will be :
1 mole of pea ÷ Number of peas picked per year [tex] \frac{6.022 \times {10}^{23} }{4.325 \times {10}^{13} } = 1.392 \times {10}^{10} \: years[/tex]The time taken to pick 1 mole of pea will be
[tex]1.392 \times {10}^{10} \: years[/tex]
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Determine which number would satisfy the inequality 3y-8>22. Choose all that apply.
A. 13
B. 0
C. -5
D. 10
E. 11
Answer:
my best guest would be only 10
Step-by-step explanation:
There are 13, and 11 are would satisfy the given inequality 3y - 8 > 22. The correct answer would be options (A), and (E).
What is inequality?An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question, as follows:
3y - 8 > 22
We have to determine which number would satisfy the inequality.
As per the question, we have
⇒ 3y - 8 > 22
Add 8 both sides of the above inequality,
⇒ 3y - 8 + 8 > 22 + 8
⇒ 3y > 30
Divided 3 into both sides of the inequality, we get
⇒ y > 30/3
⇒ y > 10
So, we can conclude that 13, and 11 would satisfy the inequality.
Hence, the correct answer would be options (A), and (E).
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Which postulate can be used to prove congruence? Please help
Answer: Choice E) Insufficient information to prove congruence.
============================================================
Explanation:
We're given that AB = DC and BE = CE. This means we have two pairs of congruent sides and we could use SAS if we know that angle ABE = angle DCE. However, we don't know this information.
While we do know that angle AEB = angle DEC (vertical angle theorem), this is not enough information. Recall that SSA is not a valid congruence theorem. The angles in question are not between the sides mentioned in the previous paragraph.
Therefore, we don't have enough information to prove the triangles congruent.
-----------------
Side notes:
We can't use SSS because we don't have info about three pairs of sides. We only have info about two pairs of sides.We can't use ASA because we only have info about one pair of angles.We can't use HL because this only applies to right triangles.I need help..........
Answer:
Step-by-step explanation:
lol
you need help...
XD
match each fraction with the equivalent expressions plz help
-2 divided by 10
10 divided by -2
1 divided by 5
5 divided by 1 so which on matches each one
5/1
-2/10
10/-2
1/5
-2 divided by 10
-2/10
10 divided by -2
10/-2
1 divided by 5
1/5
5 divided by 1
5/1
HELP ME PLS WITH THIS
Answer:
j
Step-by-step explanation:
I NEED HELP IF YOU DONT KNOW THE ANSWER DONT COMMENT.
Please help me
Answer:
Yeah
Step-by-step explanation:
1. understand time management
2. Value time.
3. use time wisely
4. take advantage of the opportunity of extra time.
5. smile, it's all linear! : )
Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?
Answer:
Molly earned $856 on the first day.
Step-by-step explanation:
From the information given, you know that over 3 days Molly earned $2,568 which is:
x+y+z=2568, where:
x is the amount earned on the first day
y is the amount earned on the second day
z is the amount earned on the third day
Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.
Now you can replace x and y in the first equation and solve for y:
2y+y+3y=2568
6y=2568
y=2568/6
y=428
No, you can replace the value of y to find x and z:
x=2(428)
x=856
z=3(428)
z=1284
According to this, the answer is that Molly earned $856 on the first day.
THE answer is...
Tell me you will get 10 points
Answer:
First option: 3 blocks to the right, 5 blocks down
Step-by-step explanation:
For an end-of-year party, Ms. Wilson purchased 98 stickers and 56 lollipops. Each student will receive an equal number of stickers and an equal number of lollipops. There will be no stickers or lollipops leftover.
Based on this information, what is the greatest number of students that Ms. Wilson can have in her class?
Answer:
14 i think
Step-by-step explanation:
tbh, just guess and check
98/7=14 each student gets 7 stickers
56/14=4 each student gets 4 lollipops
there are 14 students.
40.54-29.63
Math problem
Hey
Answer:
10.91
Step-by-step explanation:
40.54-29.63= 10.91
BRAINLIEST ARE ALWAYS APPRECIATED :)
Answer:
10.91
Step-by-step explanation:
40.54
- 29.63
_______________
10.91
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
An unbiased dice with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained, the probability that the minimum value is not less than 2 and the maximum value is not
greater than 5 is:
a) 1/81 b) 80/81
c) 16/81 d) 65/81
Solution with some explanation
Step-by-step explanation:
Let us intepret this condition in our context:
"...that the minimum value is not less than 2 and the maximum value is not greater than 5"
This means that when we roll the dice, we do not want 1 or 6 to appear. Instead we wish for 2/3/4/5 to appear.
The probability of getting these four sides out of six in a roll is 4/6, or 2/3.
We have to roll this dice 4 times. Hence we raise the probability to a power of 4:
Total probability = (2/3)⁴
= (2)⁴ / (3)⁴
= 16/81. (C)
Car A is traveling east at a steady speed of 45 miles per hour. After 2 hours, it is 100 miles east of Johnstown
Car B is traveling east on the same road. it’s distance east of Johnstown is represented by the graph.
Where were the two cars in relation to each other when they began traveling?
A. Car B was 10 miles east of car A
B. Car A was 45 miles east of car B
C. Car A was 10 miles east of car B
D. Car B was 40 miles east of car A
Answer:
The correct option is;
A. Car B was 10 miles east of car A
Step-by-step explanation:
The given parameters are;
The speed of car A = 45 miles per hour
The direction of car A = East
The distance of car B from Johnstown after 2 hours = 100 miles east
The direction of Car B = East
The distance of car B from Johnstown is given on the graph
Therefore, the initial distance of car A from Johnstown when car A began driving is given as follows;
The initial distance, east, of car A from Johnstown = 100 - 2 × 45 = 10
∴ The initial distance, east, of car A from Johnstown = 10 miles
From the graph, the initial distance, east, of car B from Johnstown = 20 miles
Therefore, car B was 10 miles east of car A
Answer:
Car B was 10 miles east of car A
Step-by-step explanation:
Q1. The speed limit on a road is 40km/h. A scooter drives 9
kilometers in 15 minutes. Is the scooter breaking the speed limit?
step by step explanation plz
If the right tail of a dot plot is longer than the left, which of these statements is true about the distribution it represents?
Answer:
D
Step-by-step explanation:
Solve the inequality.
8+k≤−3
The solution is
.
Answer: k [tex]\leq[/tex] -11
Step-by-step explanation:
8 + k [tex]\leq[/tex] -3 Subtract 8 from both sides
-8 -8
k [tex]\leq[/tex] -11
The solution to the given inequality 8 + k ≤ -3 is k ≤ -11 which represents all values of k that are less than or equal to -11.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The given inequality is given in the question:
8 + k ≤ -3
To solve the inequality 8 + k ≤ -3, you can start by subtracting 8 from both sides to isolate the variable:
k ≤ -3 - 8
k ≤ -11
The solution to this inequality is all values of k that are less than or equal to -11. This includes all negative numbers less than or equal to -11, as well as -11 itself.
Therefore, the solution to the given inequality is k ≤ -11.
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What value of x is in the solution set of 8x - 6 > 12 + 2x?
0 -1
оо
0 3
O 5
Answer:
3 is the correct answer
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
8*x-6-(12+2*x)>0
6x - 18 = 6 • (x - 3)
The value of the inequality is x > 3 , which is 5
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
8x - 6 > 12 + 2x
Subtracting 2x on both sides , we get
6x - 6 > 12
Adding 6 on both sides , we get
6x > 18
Divide by 3 on both sides , we get
x > 3
So , the value of x is numbers greater than 3
Hence , the inequality is x > 3
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2 parts. help plz. show work
Part (a)
Use the slope formula to compute the slope from x = 4 to x = 6
So effectively we're finding the slope of the line through (4,70) and (6,68)
We get the following
m = (y2-y1)/(x2-x1)
m = (68-70)/(6-4)
m = -2/2
m = -1
Repeat for the points that correspond to x = 6 and x = 8
m = (y2-y1)/(x2-x1)
m = (73-68)/(8-6)
m = 5/2
m = 2.5
Now average the two slope values
We'll add up the results and divide by 2
(-1+2.5)/2 = 1.5/2 = 0.75
The estimate of T'(6) is 0.75
This works because T'(x) measures the slope of the tangent line on the T(x) curve. Averaging the secant slopes near x = 6 will help give us an estimate of T'(6), which is the slope of the tangent at x = 6 on T(x).
Answer: 0.75==============================================
Part (b)
The value T'(6) = 0.75 represents the instantaneous rate of change of the temperature per hour.
More specifically, T'(6) = 0.75 means the temperature is increasing by an estimated 0.75 degrees per hour at the exact instant of x = 6 hours. This instantaneous rate of change is like a snapshot at this very moment in time; in contrast, the slope formula results we computed above measure the average rate of change between the endpoints mentioned.
Shawnda spent $259.20 on a scooter. This was 80% of her budget for a new scooter. How much was the total budget?
The total budget was = $324
The percentage of budget spent = 80%
The cost of 80% of budget spent on scooter = $259.20
But the percentage of total budget = 100%
Therefore the cost of total budget =
[tex] \frac{100 \times 259.20}{80} [/tex]
[tex] \frac{25920}{80} [/tex]
= 324
Therefore the cost of the total budget = $324
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What is the value of the expression when a = -5 and c = -1?
Answer:
(8-5) + (16-1)=18
Percy has already walked 25 kilometers this week, plus he plans to walk 5 kilometers during
each trip to school. After 12 trips to school, how many kilometers will Percy have walked in
total?
Answer:
85
Step-by-step explanation:
He walked 25 already. So you have x=25. He walks 5 km during each trip. There are 12 trips. 5 times 12 is 60. x=25+60. So, 25 plus 60 is 85.
help pleaseeeeeeeseee
Answer: this diagram is not a function because one input need one output and 0 and -4 share the output -2
Step-by-step explanation:
a total of 35 students are going to a field trip to NASA'S Johnson space center in houston,texas if there needs to be one adult for every 8 students, how many adults are needed?
Answer:
at least 5
Step-by-step explanation:
Answer:
Well the answer comes out as a decimal but 4 or 5 would be about how many adults they would need
If you wanna know the decimal it was 4.375 which rounds to 4.4 so it’s closer to 4 but they would probably need 5
help please? i am a little bit confused
d: 1.25
c: .035
b: .70
a: .23
these are just my guesses but if there right then I hope this helps. I don't know it but these are my best affiliations.
PLEASEE HELPP ASAPP!!
Solve: -35/-7
A: 7
B: -7
C: 42
D: -42
Answer:
D.
Step-by-step explanation:
You see, this is simple division. Let's divide it.
-35/-7 = -42
_____________________
Don't let the other options confuse you. negative dividing is just the same as regular, just negative ^^
A recipe requires 4 cups of
flour to make 3 dozen
cookies. How many cups of
flour are needed for 10
dozen cookies?
Answer:
13 1/3 cups
Step-by-step explanation:
The ratio of flour to dozens of cookies is 4:3 or 1 1/3:1
1 1/3 x 10 = 13 1/3
Answer:
13 1/3
Step-by-step explanation:
12 cups cover the first 9 cookies and than just divide 4 by 3 and you will get 1.3 which is 1 1/3 of a cup
6th grade math i mark as brainliest
There are 16 circles and 12 squares. What is the simplest ratio of squares to circle
Answer:
4:3
Step-by-step explanation:
divide each by 4
hi sorry im slow could someone help
Answer:
95
Step-by-step explanation:
Someone please help and tell me what Y is with which X. I don’t understand this and need a good grade.
Use the line of symmetry to complete the table then graph f(x) = x^2+4x+2.
X -4, -3,-2,-1,0
y-
In the equation y=2X+7 which
number is the slope?
Slope (m)
Answer:
2 is the slope
Step-by-step explanation:
the equation is y=mx+b so if it is
y= 2x+7 that means the slope is 2
Answer:
2
Step-by-step explanation:
This equation is in y=mx+b form.
Slope = m
Y-intercept = b
This will give you the slope of 2 :)