Unit conversion involves the conversion of a metric unit to another unit of the same quantity.
[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]
Let:
[tex]x = 19.3 pm/ks^2[/tex]
Multiply by [tex]10^{-17[/tex] to convert megameter per squared kiloseconds
[tex]x = 19.3 \times 10^{-17} Mn/ks^2[/tex]
Divide by [tex]10^{24[/tex] to convert to megameter per squared nanoseconds
[tex]x = \frac{19.3 \times 10^{-17}}{10^{24}} Mn/ns^2[/tex]
Apply law of indices:
[tex]x = 19.3 \times 10^{-17-24} Mn/ns^2[/tex]
[tex]x = 19.3 \times 10^{-41} Mn/ns^2[/tex]
Hence:
[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]
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For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know that you walk 0.05 miles per minute and jog 0.1 per minute how much time were you walking. Jogging.
Please write the equation and solve it. Thank you
First person to answer will get brainliest
Let the time spent in walking = x minutes
And the time spent in jogging = y minutes
If I walk with the speed = 0.05 miles per minute
Distance covered in walking = Speed × Time
= 0.05x miles
If I jog with the speed = 0.1 miles per minute
Distance covered in jogging = Speed × Time
= 0.1y miles
Since, screen displays the distance covered in walking and jogging = 2.5 miles
Equation for the situation will be,
0.05x + 0.1y = 2.5
5x + 10y = 250
x + 2y = 50 -------(1)
Total time spent in walking and jogging = 30 minutes
Therefore, equation for the situation will be,
x + y = 30 ----- (2)
By subtracting equation (2) from equation (1),
(x + 2y) - (x + y) = 50 - 30
y = 20 minutes
By substituting the value of y in equation (2),
x + 20 = 30
x = 10 minutes
Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.
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Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits
Answer:
5,12,13
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Ok guys i need HELP so im new to this school, and there is this boy he is rlly FINE, and i rlly like him, i think he likes me back, but i dont know. so far, i caught him staring at me in class, he complimented my waterbottle, and he trys to keep a coversation going. I play softball, he plays baseball, and he thinks thats cool i play softball, oh and he always begs me to pick him to be on my team for pe class. do u think he likes me? if so how can i make him like me more. and how do i tell him i like him?
Answer:
girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.
Step-by-step explanation:
Is -√15 irrational or rational
please answer these question I will mark brainliest please only do part c and f
Answer:
c.15+2z/6x-12y
f.7a+b/4a-6b
Step-by-step explanation:
z+1/x-2y - 2x-3/2x-4y + z/3x-6y
z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)
6(z+1)-3(2z-3)+2z
15+2z/6x-12y
3a/2a-3b - a+b/2(-3b+2a)
6a+a+b/2(2a-3b)
7a+b/4a-6b
Find the surface area of this cube in cm²? 25 mm
find the cost of of 1/2 litre if if 6 litres cost £7.20
if 6 litres cost £7.20
then 1/2 of it will cost 'x'(algebraic value)
we form equation
[tex] \frac{ 7.2}{6} \times \frac{1}{2}x[/tex]
which is equal to 0.6
Cost of 1/2 liter is £0.6.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
Cost of 6 liters ⇒ £7.20
Cost of 1/2 liter ⇒ X
According to the unitary method
6X = [tex]7.20\times\frac{1}{2}[/tex]
X = [tex]\frac{7.20}{6}\times\frac{1}{2}[/tex]
X = [tex]\frac{3}{5}[/tex]
X = £0.6
Cost of 1/2 liter is £0.6
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Alyssa bought 2 packs of football cards for $4.52 each, and a deck of Digimon Cards
for $11.47 with two $20 bills. Alyssa found $7.72 in her pocket. How much change
did Alyssa get?
Hello :D
2 x $4.52 = $9.04
$9.04 + $11.47 = $20.51
2 x $20 = $40.00
$40.00 - $20.51 = $19.49
With change:
$40.00 + $7.72 = $47.72
$47.72 - $20.51 = $27.21
the dance club is selling tickets to the next showcase adult tickets cost $5 and children's tickets cost $2 they sell twice as many adult tickets as children's tickets and it seemed made $700 total write an equation to represent the total ticket sales
Hey there! I'm happy to help!
Let's have the adult tickets be a and the children tickets be c.
a=2c (twice as many adult tickets as child tickets)
5a+2c=700 (dollar value of each ticket)
Have a wonderful day! I hope that the helps! :D
A jar contains some number of pennies. When pennies are removed 2, 3, 4, 5, 6 or 8 at a
time, one penny is left over. There are no pennies left over when they are removed 7 at a
time. What is the least number of pennies that could be in the jar?
Answer:
721.
Step-by-step explanation:
The total number must be a multiple of 7
One less than the number is the LCM of 2 3 4 5 6 and 8.
The LCM is worked out as follows
2
3
4 = 2*2
5
6 = 2*3
8 = 2*2*2
LCM = 2*2*2* 3*5 = 120
But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.
240 + 1 = 241 - not divisible by 7
480 + 1 = 481 - not divisible by 7
720 + 1 = 721
721/7 = 103
Answer:
Step-by-step explanation:
Let say n the number of pennies in the jar.
n is a multiple of 7 : n=7*k
n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120
n-1=120*t
n-1=120*t
n=7*k
120*t=7k-1
7k=120*t+1
[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]
The least number of pennies is 721 (when a=0)
Proof:
n-1=720
720/2=360
720/3=240
720/4=180
720/5=144
720/8=90
721/7=103
In a sample of 600 college students, 87.2% said they graduated from high school. How many of the students graduated from high school?
Answer:
523.2 students
Step-by-step explanation:
87.2%×600=523.2 students
Answer:
523.2
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Which of the following is not true about the number given below?
-6.7
a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.
PLEASE HELP ME!
Answer:
b. The opposite of the number is negative
Step-by-step explanation:
the opposite of -6.7 would be 6.7 not a negative
(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)
Answer:
105
Step-by-step explanation:
219+(-114)=219-114=105
The largest moth is the Atlas moth. The Atlas moth is
11.8 inches long Which of the following is the lenghth
of the Atlas moth written as a mixed number
Solve the compound inequality.
3 > 2x or x - 4 > 2
x <
or x >
Answer:
so our x is <
less than
explanation: 3>2x= 1.5<x
x- 4>2 =6<x
someone pls explain how to get the answer pls..
Answer:
B
Step-by-step explanation:
For example, if i gave u 28
The digit two stands for 20, and the digit 8 stands for 8, therefore u call it 28
Each spot has it own name
For example if i gave u the number 12345
5 is in the first spot, therefore 5 x 1 =5
4 is in the tenth spot, therefor 4 x 10 = 40
3 is in the hundred spot, therefore 3 x 100 =300
2 is in the thousand spot, therefore 2 x 1000=2000
1 is in the ten thousand spot, therefore 1 x 10000
=100000
So if u add all these numbers together u will get
12345
OK, so for your question, the 6 in 558672, is in the hundred spot, so 6 x 100 =600
The 3 in 74139 is in the ten spot, so 3 x 10=30
So the product is to multiply them together
600 x 30 =18000
The diameter of a cylindrical propane tank is 6 feet the total volume is 989.9 cubic feet find the length of the tank
→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...
→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...
→100 lb tank: 4 feet tall and 18” diameter. ...
→420 lb tank: 4 feet tall by 3 feet diameter. ...
→500 gallon tank: 5 feet tall by 10 feet long.
Hope this helps ^_^
12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6
Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:
The number of triangles that can be formed by an n-sided shape is n - 2.
Given that:
[tex]n \to[/tex] number of sides
From the attached figures, we have the following observation.
3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 trianglesIf this pattern continues, the number of triangles for an n-sided shape will be: n - 2
Hence, the conjecture is:
The number of triangles that can be formed by an n-sided shape is n - 2.
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can we add 4x and 3y? why?
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
no we cannot add them, though we can multiply or divide them. You cannot add them because they have different variables, we need the same variables to add or subtract those.
Step-by-step explanation:
Hope it helps
keep smiling :)
Someone plz help giving brainliest
Answer:
Its C.
Step-by-step explanation:
I had this and its C. trust me
v/6 > 11
solve for the inequallity
please will mark brainliest
Hi ;-)
[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]
PLEASE HELP!!! I will give you brainliest!
Answer:
6
Step-by-step explanation:
The range of the middle 50% is the right side of the box subtracting the left side of the box
14-8
6
Ray's birthday is 8 more than four times the number of days away from today than Jane's birthday. If Ray's birthday is 24 days from today, how many days untill Jane's birthday?
Answer:
4 days
Step-by-step explanation:
Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.
write as a single fraction in it's simplest form:
[tex]x - 8 \div x + 3x \div x + 1[/tex]
Answer:
-8/3x
Step-by-step explanation:
-8 / 3x / 1
-8 / 3x
.....
..
Two dice are rolled. A = ‘sum of two dice equals 3’ B=‘sumoftwodiceequals7’ C=‘at
least one of the dice shows a 1’ (a) What is P (A|C)?
(b) What is P (B|C)?
(c) Are A and C independent? What about B and C?
Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.
We have
• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)
• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)
• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)
(a) By definition of conditional probability,
P(A | C) = P(A and C) / P(C)
A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately
P(A and C) = P(A)
so that
P(A | C) = (1/18) / (1/3) = 3/18 = 1/6
(b) From the definition,
P(B | C) = P(B and C) / P(C)
By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so
P(B and C) = (2/36) / (1/3) = 6/36 = 1/6
(c) In order for two events X and Y to be independent, we need to have
P(X and Y) = P(X) P(Y)
or in terms of conditional probability,
P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)
Then it follows that A and C are not independent, while B and C are independent.
m²+16m=4 give the number that must be added to both side
this is correct solution thank you
A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?
Answer:
Small shirts = 12 shirts
Large shirts = 18 shirts
Step-by-step explanation:
Given information
There are plans for ordering 24 medium shirts.
For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.
STEP ONE: Find how many groups of [4 medium shirts] are ordered.
24 / 4 = 6
There should be 6 groups of 4-medium-shirts orders.
STEP TWO: Find the number of small shirts.
6 × 2 = 12 shirts
STEP THREE: Find the number of large shirts.
6 × 3 = 18 shirts
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?
Answer:
10
Step-by-step explanation:
[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]
[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]
[tex]\\ \rm\longmapsto Speed=80km/h[/tex]
Time=14h[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]
[tex]\\ \rm\longmapsto Distance=80(14)[/tex]
[tex]\\ \rm\longmapsto Distance=1120km[/tex]
how do you solve sin(x) + cos(x) * tan(x)
Step-by-step explanation:
[tex] \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) [/tex]
Step-by-step explanation:
sin(x) + cos(x) = sin x ÷cos x
sin(x) + cos(x) sin(x) ÷ cos (x)
join cos x and sin x
sin x + sin x
cancel cos x with cos x
The answer is 2 sin x
PLEASE HELP 25 points and brainliest!
Answer: 8.1 × 10¹⁰
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁶) × (2.7 × 10⁴)
Put like terms together
=3 × 2.7 × 10⁶ × 10⁴
Combine like terms
=8.1 × 10⁶⁺⁴
=[tex]\boxed{8.1*10^{10}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
8.1 x 10^10
Step-by-step explanation:
When you do this type of problem you want to combine the like terms together, in this case is this.
3 × 2.7 × 10⁶ × 10⁴. So you will get.
8.1 x 10⁶⁺⁴
Which is 8.1 x 10^10 simplified
