[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &108000\\ r=rate\to 0.8\%\to \frac{0.8}{100}\dotfill &0.008\\ t=\textit{elapsed time}\dotfill &1\\ \end{cases} \\\\\\ A=108000(1 + 0.008)^{1}\implies A=108000(1.008)\implies A=108864[/tex]
How many atoms of H is in 300g H2O
Answer:
[tex]1.003*10^{25}[/tex]
Step-by-step explanation:
We'll be using Avogadro's number which defines the amount of atoms in a mole.
To find the mole amount, we use the atomic mass to find the molar mass because the atomic mass represents how many grams are in a single mole of any element
2 Hydrogen atoms have an atomic mass of 2.016 g
1 Oxygen atom has an atomic mass of 15.999 g
Adding these two numbers gives us H2O's molar mass, which is 18.015 g/mol (grams per mole).
Now we take the supplied mass of 300g and divide it by the mm (molar mass) to find the amount of moles we have. 300/18.015 = 16.653
We have 16.653 moles in 300g of H2O.
Now we have to multiply 16.653 by Avogadro's number, [tex]6.022 * 10^{23}[/tex]
This gives us: [tex]1.003*10^{25}[/tex]
What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
O 2 and -2.5
O 2 and 2.5
О 1 and -5
0 1 and 5
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
put these numbers in order least to greatest 1 1/3, -5/6, 0, -2/3, -1
Answer:
-1, -5/6, -2/3, 0, 1 1/3
Step-by-step explanation:
Answer:
-1, -5/6, -2/3, 0, 1 1/3.
Step-by-step explanation:
1 1/3, -5/6, 0, -2/3, -1
The easiest way is to convert them to decimal fractions first:
= 1.333.... , - 0.8333... , 0, -0.666.... , - 1
So in ascending order they are
-1, -0.833.., -0.666... , 0 , 1.333.....
= -1, -5/6, -2/3, 0, 1 1/3.
Earthquakes are measured by the Richter scale and demonstrated by the formula R = log(A) where A measures the amplitude of the earthquake wave and A, is the amplitude of the smallest detectable wave (or standard wave). An earthquake is measured with a wave amplitude 1800 times as great as a standard wave. What is the magnitude of this earthquake using the Richter scale? Round to the nearest tenth.
Answer:
3.22
Step-by-step explanation:
log(18×100)
log18+log100
1.22+2
3.22
The magnitude of this earthquake using the Richter scale is approximately 3.3 (rounded to the nearest tenth).
How to determine the magnitude of the earthquakeTo calculate the magnitude of the earthquake using the Richter scale, we can use the formula
R = log(A/A₀),
where
A is the amplitude of the earthquake wave, and
A₀ is the amplitude of the standard wave.
If the earthquake wave's amplitude is 1800 times as great as the smallest detectable wave, this means A/A₀ = 1800.
Therefore, the magnitude of the earthquake (R) would be:
R = log(1800)
Let's calculate it:
R ≈ log₁₀(1800) ≈ 3.255
So, if we round this to the nearest tenth, the earthquake's magnitude on the Richter scale would be approximately 3.3.
Learn more about earthquake magnitude calculation
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What is the radius of a sphere with a volume of 320 ft^3 , to the nearest tenth of a foot
Answer:
The answer is
→ Radius ≈ 4.24ft
Step-by-step explanation:
Given: 320ft³
Solve:Were going to use this formula:
[tex]V = \frac{4}{3} \pi r^3[/tex]
Step 1: Solve for r.
[tex]r = (3 \frac{V}{4\pi } ) ^\frac{1}{3} = (3 * \frac{320}{4*\pi } )^\frac{1}{3}[/tex] ≈ [tex]4.24314ft[/tex]Step 2: Round up 4.24314
4.24314 → 4.24
Hence, 4.24ft is your answer.
- ✨7272033Alt✨need some help with this question in the image
Cheers
Step-by-step explanation:
a) 24.7×52.3=1291.81
On rounding off to 3 significant digits we get
1290
b)
[tex] \sqrt{ {42}^{2} - {28}^{2} } [/tex]
[tex] \sqrt{1764 -784 } = \sqrt{980} [/tex]
=31.304951
On rounding off to 5 significant figures we get
=31.305
c)
[tex] \sqrt[3]{78} = 4.27265[/tex]
On rounding off to 2 significant figures we get
=4.3
Hence required answers
a)1290
b)31.305
c)4.3
I hope it helped you
Jamar just got hired for a new job and will make $48,000 in his first year. Jamar was told that he can expect to get raises of $3,500 every year going forward. How much money in salary would Jamar make in his 18th year working at this job?
Answer:
111000
Step-by-step explanation:
3,500
x 18
63000
+ 48000
111000
Write the number below as a fraction in its simplest form
0.
˙
8
Answer:
4/5
Step-by-step explanation:
0.8 = 8 / 10 = 4/5
Hello I need help on this math questionBRAINLIEST For the fastest correct answer
which one does it equal to? what break 80 into two equal pieces?
Answer:
Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, - (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 - –4.
52.6 X 8.2 i need help on mulitiplying decimals again need it step by step
Answer:
431.32
Step-by-step explanation:
It is just like multiplying.
431.32
X 8.2
And you solve it.
Hooped this helped you
If you roll an 8. 5-by-11-inch piece of paper into a cylinder by bringing the two longer sides together, you get a tall, thin cylinder. If you roll an 8. 5-by-11-inch piece of paper into a cylinder by bringing the two shorter sides together, you get a short, fat cylinder. Which of the two cylinders has the greater volume?
The cylinder which would have the greater volume is that in which the two shorter sides together, you get a short, fat cylinder.
Which cylinder has the greater volume between the two?It follows from the task content that the cylinder is made from the same paper dimensions.
On this note, it follows that when the shorter sides are joined, the longer side represents the height of the cylinder formed.
Consequently, the shorter cylinder has the greater volume.
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For what value of x does 34* – 27x-3?
O-9
0 -3
O 3
O 9
?
-9 the first option
When x = - 9, I get same value of 6.7 x 10^-18 to 1 d.p
Hope this helps!
The value of x that satisfies the given equation is -9.
The correct option is (A).
What is an equation?A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the making of mathematics.
As per the given data:
We are given an equation, and we have to find the value of x that satisfies the equation.
We can use the following rule of exponents to find the result of the given equation:
(i) [tex](a^m)^n = a^{m \times n}[/tex]
(ii) [tex]a^m = a^n[/tex] then m = n
For the given equation:
[tex]3^{4x} = 27^{x - 3}\\3^{4x} = 3^{3(x - 3)}\\3^{4x} = 3^{3x - 9}[/tex]
4x = 3x - 9
4x - 3x = -9
x = -9
Hence, the value of x that satisfies the given equation is -9.
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Help!&:&&/‘snsksnjsa
Answer:
17
Step-by-step explanation:
Order the numbers from least to greatest and find the number i n the middle
Answer:
17
Step-by-step explanation:
organize by least to greatest and mark off from each side until you reach the middle. Easy way to remember is that medium is the middle.
What is plancks constant?what is it used for and where is it used?
The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h).
What is Plancks constant?Planck's constant is the elementary quantum of action. Its unit is the metre-kilogram-second or Joule second. It is denoted by h and has a value of 6.62607015 × 10⁻³⁴ joule second.
The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h). It is given by:
E = hf
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Answer:
Planck's constant is used to relate the energy in one quantum of electromagnetic radiation to the frequency of that radiation.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
14. Which of the following values could be the y-coordinate of the point (10,-)
that is 13 units from (10,6)?
A. 17
B. 3
C. - 1
D. -7
Answer:
D
Step-by-step explanation:
I cant solve this please help
Answer:
Z = 63º
Step-by-step explanation:
X = 180 - 61 - 31 = 88º Angles in a triangle add to 180º
Y = 180 - X = 180 - 88 = 92º Angles in a straight line add to 180º
Z = 180 - 25 - Y = 180 - 25 - 92 = 63º Angles in a triangle add to 180º
So Z = 63º
an ice chest contains 8 cans of coke, 3 cans of pepsi, and 2 cans of 7up. what is the probability of pulling out an 7up
The probability of pulling out an 7up from the ice chest that contains the different drinks is 2/13.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of pulling out an 7up = number of 7ups / total number of drinks
2/(8 + 3 + 2)
2/13
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Can someone assist me with this I-ready?
Answer:
For every 3 tablespoons of cocoa Nate uses 1 tablespoon of sugar
how fast was the car going in miles per hour if the skid mark is 24 feet long
Answer:The vehicle speed at the start of the skid is approximately 20.75 mph
imagine if i got it right lol funny poop right?
haha
anybody help me
explain how to do it if ya can
Answer:
If the left side of the big rectangle is 2m then the right side should be the same. We have 4m
If the bottom of the big rectangle is 9 then the top should also be 9. We now have 22m.
-----------------------------------------------------------------------------------------------------------
SMALL RECTANGLEThe left side of the small rectangle is 2m then so should the right be also 2m. We have 4m.
The top is 3m so the bottom should also be 3m we now have 10m
----------------------------------------------------------------------------------------------------------
ANSWERIf you add 10 + 22 you get 32. 32 is your answer :)
Step-by-step explanation:
Which measurements are correct? round side lengths to the nearest hundredth. check all that apply. m∠a = 57° m∠b = 15° c ≈ 10.89 ft h ≈ 8.09 ft h ≈ 31.28 ft
The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft
What are the correct elevation measurements?
From the image attached, we see that;
A surveyor found the angle of elevation from the ground to the top from a point = 33°
Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.
Thus;
∠A + 48° = 180°
∠A = 180 - 48
∠A = 132°
From sum of angles in a triangle;
∠B + 33° + 132° = 180°
∠B = 180 - 165°
∠B = 15°
Using sine rule, we know that;
sin 33/C = sin B/20
Thus;
sin 33/C = sin 15/20
Solving for C gives;
C = 42.22
From trigonometric ratios, h/c = sin 48
h = 42.22 sin 48
h = 31.28 ft
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Answer:
2 and 5
Step-by-step explanation:
Which is true for
the vertex?
A. A vertex is any angle.
B. A vertex is the end point of a single line segment.
C. A vertex is a point that describes the corner or
intersection of an angle.
Answer:
C.
Step-by-step explanation:
It is the corner or a point where line segments meet.
Hi!
Your answer is C.
The vertex is the point where two different rays meet, forming an angle.
It can also simply be the point where 2 straight lines simply meet.
Option A is NOT correct because a vertex is not angle, it is a part of an angle.
Option B is NOT correct because, if there's only one segment, we cannot form a vertex.
See the image below for an example:
What is the answer to 108cm2= x^(x-3)
Answer: 22.5 and -19.5
Step-by-step explanation:
(2/5)(10)+8 What is the expression below
Answer: hii
✓ 12
Step-by-step explanation:
Simplify the expression.
Hopfully this helps you
-Matthew :)
There are 500 sheets of paper in one ream. The counter on a copier says that 23,500 copies have been made. How many reams of paper were used?
Answer: 47 ream papers were used.
Step-by-step explanation:
23,500 divided by 5000 = 47
Hope it helps!
Help .
i need help with something like this
The width of a book is 1.5 inches.
The total width of 79 books is 1.5×79
= 118.5 inches.
The cost of a 34.5 inch wide shelf is $12.95
Therefore, the cost of a 118.5 inch wide shelf will be:
(Let the cost of the 118.5 inch wide shelf be x)
[tex] \frac{34.5}{12.95} = \frac{118.5}{x} \\ cross \: multipy \\ 34.5x = 118.5 \times 12.95 \\ x = \frac{118.5 \times 12.95}{34.5} \\ x = 44.48[/tex]
x= $44.48
Find f(g(x)) simplify completely f(x)= 5x+11 g(x)= 3x+2
Answer:
f(g(x)) = 5(3x + 7)
Step-by-step explanation:
f(x) = 5x + 11g(x) = 3x + 2Solving f(g(x))
f(g(x))f(3x + 2)f(3x + 2) = 5(3x + 2) + 11f(3x + 2) = 15x + 10 + 11f(3x + 2) = 15x + 21f(3x + 2) = 5(3x + 7)f(g(x)) = 5(3x + 7)Answer:
[tex]f(g(x)) = 3(5x + 7)[/tex]
Step-by-step explanation:
Step 1: State the eqautions
[tex]f(x) = 5x + 11[/tex]
[tex]g(x) = 3x + 2[/tex]
Step 2: Insert the equation and solve
[tex]f(g(x)) = 5(g(x)) + 11[/tex]
[tex]f(3x + 2) = 5(3x + 2) + 11[/tex]
[tex]f(3x + 2) = 15x + 10 + 11[/tex]
[tex]f(3x + 2) = 15x + 21[/tex]
[tex]f(g(x)) = 15x + 21[/tex]
Step 3: Simplify completely
[tex]f(g(x)) = 15x + 21[/tex]
[tex]f(g(x)) = 3(5x + 7)[/tex]
Answer: [tex]f(g(x)) = 3(5x + 7)[/tex]
need help will give brainlist
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{x+1}{x(x-1)}[/tex] ÷ [tex]\frac{4}{3(x-1)}[/tex]
leave the first fraction, change division to multiplication, turn the second fraction upside down , that is
= [tex]\frac{x+1}{x(x-1)}[/tex] × [tex]\frac{3(x-1)}{4}[/tex] ← cancel (x - 1) on numerator / denominator
= [tex]\frac{x+1}{x}[/tex] × [tex]\frac{3}{4}[/tex]
= [tex]\frac{3(x+1)}{4x}[/tex]
= [tex]\frac{3x+3}{4x}[/tex]
SOMEONE HELP ME FAST!!!!!!!!!!!
A bag contains 9 tiles, one for each letter in the word HAPPINESS. You
choose a tile at random. What is the probability that you choose a tile with
the letter S? What is the probability that you choose a tile with a letter other
than P?
Answer:
shown below
Step-by-step explanation:
9 different possible tiles to choose, but there are duplicates of two types of tiles. Out of 9 tiles, two of them are S. Therefore, the probability you choose an S is 2/9 (however much percent that is).
You'd reverse the math for letters other than P:
Out of 9 tiles, two of them are P. 9 minus 2 is seven. Seven out of 9 characters are not the letter P. Therefore, the probability you choose any letter other than P is 7/9 (however much percent that is).