Answer:
-1/5
Step-by-step explanation:
make them have the same denominator by multiplying -1/2 by 5 on the bottom and top which then gives you -5/10 + 3/10 that then gives your -2/10 which reduces to -1/5
The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 2000 years?
Answer:
The amount of Radium-226 remaining after 2000 years is approximately 209.08 mg.
Step-by-step explanation:
We can use the formula for exponential decay to solve this problem. The formula is:
N = N0 * (1/2)^(t/T)
where N is the amount of substance remaining after time t, N0 is the initial amount of substance, T is the half-life of the substance, and t is the time elapsed.
In this case, we are given that the half-life of Radium-226 is 1590 years, and that we start with an initial amount of 500 mg. We want to find the amount remaining after 2000 years.
Substituting the given values into the formula, we get:
N = 500 * (1/2)^(2000/1590)
Evaluating the expression, we get:
N ≈ 209.08
So the amount of Radium-226 remaining after 2000 years is approximately 209.08 mg.
Find (2 × 104) − (3 × 103).
Answer:
the answer is -101
Step-by-step explanation:
hope this helps
Please help, idk how to give extra points but I would really appreciate it if you could help
Answer:
x = 126°
x - 30 = 96°
Step-by-step explanation:
The sum of angles in a 5 sided polygon is 540°.
Hence all these angles would = 540
x + x + (x - 30) + (x - 30) + (x - 30) = 540
Collect like terms
5x - 90 = 540
Rearrange
5x = 540 + 90
5x = 630
x = 126
x - 30 = 96
"please answer asap ill give u a big like
expand and Simplify (-5√2 +3√√3) (-6√2-2√3)
The expression (-5√2 + 3√√3) (-6√2 - 2√3) can be expanded and simplified.
To expand and simplify the given expression, we will use the distributive property to multiply each term in the first set of parentheses by each term in the second set of parentheses.
(-5√2 + 3√√3) (-6√2 - 2√3) expands to (-5√2 x-6√2) + (-5√2 x -2√3) + (3√√3 x -6√2) + (3√√3 * -2√3).
Simplifying each term individually, we have:
(-5√2 x -6√2) = 30 * 2 = 60,
(-5√2 x -2√3) = 10√6,
(3√√3 x-6√2) = -18√6,
(3√√3 x -2√3) = -6 * 3 = -18.
Putting it all together, the simplified expression is 60 + 10√6 - 18√6 - 18, which can be further simplified as 42 - 8√6. Thus, the expanded and simplified form of (-5√2 + 3√√3) (-6√2 - 2√3) is 42 - 8√6.
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Seattle City Light charges residents for electricity on a daily basis. There is a basic daily charge of 11.57 cents. For each day the first 10 kWh cost 4.59 cents per kWh and any additional kWhs are 9.55 cents per kWh. Write a piece wise defined function to describe the usage rate.
Answer:
y=[tex]\left \{ {{11.57+4.59x where x\leq 10} \atop {11.57+9.55x where x>10}} \right.[/tex]
Step-by-step explanation:
Here it is given basic daily charge is 11.57 cents.
Now, the variable charge is 4.59 cents per kWh when consumption is less than or equal to 10 kWh.
So, first piece is using total cost = fixed cost + variable cost.
So, y= 11.57+4.59x when x [tex]\leq[/tex] 10
Now, if the consumption goes more than 10 kWh, the unit rate is 9.55 cents per unit. The equation for total cost is y=11.57+9.55x where x>10
So
3. The rectangular traffic sign is 18 inches wide and 8 inches tall. The
rectangular realtor sign is 27 inches wide and 10 inches tall. Are the
signs similar?
Solve this system by substitution, 16 points and brainliest to first answer!
-x -y -z = -8
-4x +4y +5z = 7
2x+2z=4
Show steps please!
- x - y - z = - 8 ------- (1)
- 4x + 4y + 5z = 7 -------- (2)
2x + 2z = 4 --------- (3)
From (3): x + z = 2
x = 2 - z --------- (4)
Substitute (4) into (1),
- x - y - z = - 8
- (2-z) - y - z = - 8
- 2 + z - y - z = -8
- 2 - y = - 8
2 + y = 8
Therefore, y = 6
Substitute y = 6 and (4) into (2),
- 4x + 4y + 5z = 7
- 4(2 - z) + 4(6) + 5z = 7
- 8 + 4z + 24 + 5z = 7
9z + 16 = 7
9z = - 9
Therefore, z = - 9
Substitute z = - 9 into (4),
x = 2 - z
x = 2 - (-9)
x = 2 + 9
Therefore x = 11
Solution:
x = 11
y = 6
z = -9
1 1grade please help
Answer: 7/2
Step-by-step explanation:
[tex]\lim_{x \to \frac{1}{2}} \dfrac{8x-3}{2x-1}-\dfrac{4x^2+1}{4x^2-1}[/tex]
Multiply the left fraction by 2x+1 so both fractions have the same denominator.
[tex]\lim_{x \to \frac{1}{2}} \dfrac{8x-3}{2x-1}\bigg(\dfrac{2x+1}{2x+1}\bigg)-\dfrac{4x^2+1}{4x^2-1}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{12x^2+2x-4}{4x^2-1}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{2(3x+2)(2x-1)}{(2x+1)(2x-1)}\\\\\\\lim_{x \to \frac{1}{2}} \dfrac{2(3x+2)}{2x+1}[/tex]
Directly input x = 1/2 [tex]\dfrac{2[3(\frac{1}{2})+2]}{2(\frac{1}{2})+1}\quad =\dfrac{7}{2}[/tex]
Oksana wrote the equation below on the whiteboard.
6 b + 6 = 48
What is the value of b?
A. 4
B. 7
C. 8
D. 9
Answer:
B . 48- 6 = 42.
b =42/6=7
this is your answer
Question 2
What is the value of y in the equation 2(3y - 6) = 0? (4 points)
--2
ОО
02
06
write an equivalent expression.
List the domain and range of the graph below.
A map uses the scale of 3 cm for every
10 km. If the map shows a distance of
12 cm, what is the actual distance?
Answer:
40 km
Step-by-step explanation:
Divide the distance by the scale
12/3 = 4
Multiply that number by the 10 km
4 x 10 = 40
make a conjecture about the next item in each sequence
-2, 1 , -1/2, 1/4, -1/8
Answer: 1/16
Step-by-step explanation:
Each number in the series is half of the previous number. The negatives alternate with the positives. So they must be multipling by -1/2.
-1/8(-1/2) = 1/16
After that would be
1/16(-1/2) = -1/32
Hope this helps. (And maybe worth Brainliest)
Table 3.1 Quantity Demanded Price per Unit Quantity Supplied 10 $5 50 20 $4 40 30 $3 30 40 $2 20 50 $1 10 Refer to Table 3.1. If the government imposes a price of $2, O a surplus equal to 20 units wil
Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.
To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.
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the complete question is:
Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.
Part B
How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning
solution?
Answer:
5 fluid ounces
Step-by-step explanation:
Simplify: -7y +5 - 4+2x + 3x + 9x
Answer:
The answer would be 1 + 14x + -7y
Brainlist???
Use the lessons we practice in class for Caesar, St. Cyr, Pigpen, and Rail Fence ciphers to answer the following prompts.
Decipher the following statement, using a St. Cyr slide. All you know about the length of the slide is that it is a prime number (i.e., 2, 3, 5, 7, 11, 13, 17, 19, 23).
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
The deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
To decipher the given statement using a St. Cyr slide, we need to determine the correct length of the slide. Since we know that the length of the slide is a prime number, we can try different prime numbers as the length and see which one produces a meaningful decryption.
Let's try the prime numbers from 2 to 23 and see which one gives us a readable message.
Using a St. Cyr slide with a length of 2:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
DRDVORDQRBKZRSXOHOBMSBOCRROEUXFYEDQ
Using a St. Cyr slide with a length of 3:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
CSDVNDRRQBIARSBXOHNLRACNQQBNTWEYDCQ
Using a St. Cyr slide with a length of 5:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
BSDLMBNNOZHRMVXLKMLQZBMNPPAMSVEXCBP
Using a St. Cyr slide with a length of 7:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
ARCKLAMMNYGQLUKWJLKPYALMOOZLRUDWBAO
Using a St. Cyr slide with a length of 11:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
ZQBZDZRRJWFZQSJTEJTLWZJRRCCJPTCVZAN
Using a St. Cyr slide with a length of 13:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
YPAYCYQQIVEYPRISEDSKIYIQQBHIOSBUYZM
Using a St. Cyr slide with a length of 17:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL
Using a St. Cyr slide with a length of 19:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
WNYWAWOOTHWCNPGRCBPFGWGOOZFGMQWWSWK
Using a St. Cyr slide with a length of 23:
ETEWPESPRCLASTYPIPCNTDPESCPPFYGZETYR
VMXVZVNNSGVBMOFQBAOEVVNNYDPELVPVUVJ
Out of the attempted prime lengths, the decryption using a St. Cyr slide of length 17 produces a readable message: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
Therefore, the deciphered message is: "XOZXBXPPIUDXOQHRDCQGHXHPPAGHNRAXTXL".
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please helppppppppppppppppppppppppppppppppp
Answer:
I don't really understand this one
But 32.99 is 65.98 when we multiply it by two I guess that's the answer
Find the value of x so that the function has the given value. 2(x) = 2x + 7; n(x) = 17
Answer:
x = 5
Step-by-step explanation:
Maybe you have ...
n(x) = 2x +7
and you want x for n(x) = 17.
17 = 2x +7
10 = 2x . . . . . . subtract 7
5 = x . . . . . . . . divide by 2
if g(x) = - 4 , what is the value of x
Given y = g(x) therefore,
y = -4.
Since there's no x. That means x = 0.
Therefore the value of x is 0
Answer:
It depends on what the question and or equation is that you are using if i knew why you where trying to solve for x I could tell you.
Step-by-step explanation:
what's the answer.
Answer:
This is a function
Step-by-step explanation:
As you can see, all of the x-coordinates are different which means it is a function
A figure has vertices: (-2, 5), (7, 5), (-2, 3), (7, 3). What is the perimeter of the figure?
Answer:
22
Step-by-step explanation:
2+2+9+9
22
Tyler went to the supermarket to buy food for a food pantry. He has $36 and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5-pound jar. Select the graph that correctly describes the amount of pasta and pasta sauce that Tyler can buy.
Answer:
8
Step-by-step explanation:
yep that's the answer all you have to do is.
{x + 3y <=36
{x + 1.5y <=20
{x = y
y+3y<=36
4y<=36
y<=9
y+1.5y<=20
2.5y<=20
y<=8
min(8,9) = 8
x = 8, y = 8
If a solid has a density of 4.0 g/cm^3, what volume provides 24 g of that
solid? Show work.
This is the same as saying 6 cubic cm
====================================================
Work Shown:
d = density = 4 g/cm^3
m = mass = 24 g
v = volume = unknown
--------------
d = m/v
4 = 24/v
4v = 24 .... multiply both sides by v
v = 24/4 .... divide both sides by 4
v = 6 cm^3
I need help with this 1 quick question
Answer:
as in pic below
Step-by-step explanation:
Which size bag of cat food shown in the table has the lowest unit price?
Given a 45-45-90 triangle with a hypotenuse of 3 cm solve for the other sides.
Answer:
Ok:
Step-by-step explanation:
For a 45-45-90 triangle, the ratio between the sides are 1 – 1 – [tex]\sqrt{2}[/tex]. This can be proven by the pythagorean theorem. Therefore, if we let one of the sides by x, it means that x*[tex]\sqrt{2\\}[/tex] = 3 or x = [tex]\frac{3}{\sqrt{2} }[/tex].
What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, comma, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \sqrt{10} 10 square root of, 10, end square root (Choice B) B \sqrt{29} 29 square root of, 29, end square root (Choice C) C 888 (Choice D) D 99
Answer: square root of 29
Step-by-step explanation:
Given the question :
Distance between (4, 7) and (2, 2)
Distance between two points is given by:
Distance = sqrt[(X2 - X1)² + (Y2 - Y1)²]
X1 = 4 ; Y1 = 7 ; X2 = 2 ; Y2 = 2
Distance = sqrt[(2 - 4)² + (2 - 7)²]
Distance = sqrt[(-2² + - 5²)]
= sqrt(4 + 25)
= sqrt(29)
Georgia’s scores in six subjects are 89, 75, 92, 68, 78, 75, and 80. If she finds a single value that summarizes all the values in the data set, which measure could she be finding?
Answer:
mean
Step-by-step explanation:
mean .
mean is regarded as the average value calculated from a data set .
mean = total sum of values / total number of values.
Answer:
mean
Step-by-step explanation:
mean .
mean is regarded as the average value calculated from a data set .
mean = total sum of values / total number of values.
Step-by-step explanation: