The mass of Ag₂CO3(s) produced by mixing 130.3 mL of 0.365 M Na₂CO3(aq) and 71.1 mL of 0.216 M AgNO3(aq) is 0.337 g.
To calculate the mass of Ag₂CO3(s) produced, we need to determine the limiting reagent between Na₂CO3 and AgNO3. The limiting reagent is the reactant that is completely consumed and determines the maximum amount of product that can be formed.
First, we need to calculate the number of moles of Na₂CO3 and AgNO3 using their molarity and volume.
For Na₂CO3:
Moles = concentration (M) × volume (L)
Moles = 0.365 mol/L × 0.1303 L = 0.0475 mol
For AgNO3:
Moles = concentration (M) × volume (L)
Moles = 0.216 mol/L × 0.0711 L = 0.0154 mol
Next, we need to determine the stoichiometric ratio between Na₂CO3 and Ag₂CO3. According to the balanced equation, 2 moles of AgNO3 react with 1 mole of Na₂CO3 to produce 1 mole of Ag₂CO3.
Comparing the moles of Na₂CO3 and AgNO3, we can see that there is an excess of Na₂CO3, as 0.0475 mol > 0.0154 mol. Therefore, AgNO3 is the limiting reagent.
Now, we can calculate the moles of Ag₂CO3 produced from the moles of AgNO3:
Moles of Ag₂CO3 = moles of AgNO3 × (1 mole of Ag₂CO3 / 2 moles of AgNO3)
Moles of Ag₂CO3 = 0.0154 mol × (1 mol / 2 mol) = 0.0077 mol
Finally, we can calculate the mass of Ag₂CO3 using its molar mass:
Mass of Ag₂CO3 = moles of Ag₂CO3 × molar mass of Ag₂CO3
Mass of Ag₂CO3 = 0.0077 mol × 275.8 g/mol = 0.337 g.
Therefore, the mass of Ag₂CO3 produced is 0.337 g.
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. How many days will it take for $9500 to earn $800 at 8.25% p.a.?
It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:
Interest = Principal * Rate * Time
In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.
Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).
$800 = $9500 * 0.0825 * (t / 365)
Simplifying the equation:
800 = 9500 * 0.0825 * (t / 365)
Divide both sides by (9500 * 0.0825):
800 / (9500 * 0.0825) = t / 365
Simplify the left side:
800 / (9500 * 0.0825) ≈ 0.1083
Now, solve for t by multiplying both sides by 365:
0.1083 * 365 ≈ t
t ≈ 39.532
Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
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It rained all day, so many people played games. In the ring toss, 4
people won the grand prize, 15 people won the first prize, and 30 people won a consolation prize. How many more people won the first prize than the grand prize?
A. 30 people won a consolation prize.
B. 15 people won first prize.
C. It rained all day, so many people played games.
D. 4 people won the grand prize.
Answer:
9 more people
Step-by-step explanation:
There are 15 first prize winners and 4 grand prize winners
that means there are 15 - 4 more first prize winners than grand prize winners
15 - 4 = 9
9 more people won first prize than the grand prize
A circle is drawn on the coordinate plane. It
has a center at (2, 1) and passes through the
point (2, 5). What is the approximate
circumference of the circle?
Step-by-step explanation:
please mark me as brainlist please
Answer:
Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:
r=((5-1)^2+(2-2)^2)^(1/2)
r=(4^2-0^2)^(1/2)
r=4 units.
Circumference=2pr so our circumference is 8p units^2
so about 25.13 u^2
A kitchen is born having a mass of 90 grams and gains 10 grams per day. How many days will it take the kitten to double its mass? Write and solve the equation?
The requried days over which the mass of the kitten gets doubled is 9 days.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Let the number of days be x,
According to the quesiton,
2×90 = 90 + 10x
180 - 90 = 10x
x = 9 days
Thus, the requried days over which the mass of the kitten gets doubled is 9 days.
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From population of size 500. random sample of 50 items is selected. The mode of the sample
a. can be larger. smaller Or equal to the mode of the population:
b. must be equal to the mode of population; if the sample is truly random;
c. must be equal to the mean of the population, if the sample is truly random:
d. must be 500
The correct statement regarding the mode of the sample is given as follows:
a. can be larger, smaller or equal to the mode of the population.
What is the mode of a data-set?The mode of a data-set is the observation that appears the most often in the data-set.
The mode of the sample is simply the most frequently occurring value in the sample. It is not necessarily expected to be the same as the mode of the population, which is the most frequently occurring value in the entire population.
As a sample is a group taken from an entire population, the observation that appears the most in the sample can be different from the more common observation in the population,
Hence, option (a) is correct.
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for what values of x does 5x^2+4x-4=0
Answer: See explanation
Step-by-step explanation:
x=-(2-2*the square root of 6)/5, about 0.58
or
x=-(2+2*the square root of 6)/5, about -1.38
The values of the x from equation \(5x^2+4x-4=0\) are x = 0.5798 and -1.38.
Given that:
Equation: \(5x^2+4x-4=0\)
To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:
\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)
Compare the equation with \(ax^2 + bx + c = 0\).
Here, a = 5, b = 4, and c = -4.
Plugging in the values to get,
\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)
So the solutions for x are calculates as:
Taking positive sign,
\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)
x = 5.798/10
x = 0.5798
Taking negative sign,
\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)
x = -13.798/10
x = -1.38
Hence, the exact solutions for the equation \(5x^2 + 4x - 4 = 0\) are x = 0.5798 and -1.38.
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what is the equation of the given line ( 1,5) and (3,5)
A.)Y=5
B.)X=3
C.)Y=3
D.)X=1
Answer:
A) y = 5
Step-by-step explanation:
Points: (1, 5) and (3, 5)
Slope:
m=(y2-y1)/(x2-x1)
m=(5-5)/(3-1)
m=0/2
m = 0
Since 0 is the slope, that means there's no slope.
y - y1 = m(x - x1)
y - 5 = 0(x - 1)
y - 5 = 0
y = 5
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 11 hours of burning, a candle has a height of 22.4 centimeters. After 28 hours of burning, its height is 12.2 centimeters. What is the height of the candle after 27 hours
the height of the candle after 27 hours of burning is 0.6 centimeters.
Let h be the height of the candle and t be the amount of time it has been burning. It is given that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
After 11 hours of burning, a candle has a height of 22.4 centimeters.
After 28 hours of burning, its height is 12.2 centimeters.
Therefore, we can write two linear equations using the given information:
y1 = mx1 + b where y1 = 22.4, x1 = 11 and y2 = 12.2, x2 = 28
Solving for m and b, we get:
y1 = mx1 + b22.4 = m(11) + b... (1)
y2 = mx2 + b12.2 = m(28) + b... (2)
Solving equation (1) for b, we get:
b = 22.4 - m(11)... (3)
Substituting equation (3) into equation (2) and solving for m, we get:
m = (12.2 - 22.4) / (28 - 11) = -1.4
Using equation (1) and the value of m, we get:
22.4 = (-1.4)(11) + b
22.4 = -15.4 + b
b = 37.8
Therefore, the equation of the line is:
h = -1.4t + 37.8
We can use this equation to find the height of the candle after 27 hours:
h = -1.4(27) + 37.8h = 0.6 centimeters
Therefore, the height of the candle after 27 hours of burning is 0.6 centimeters.
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say i bought 600 stickers, stickers no one can get, and the price of the grand total of these stickers was 26.97$, and every 10 stickers i sold for 2$ would i make profit back or even more??
Given the price the stickers can be sold for, and the cost in total of the stickers, you can make profit.
How to find the profit ?The total revenue that can be made on the sale of the 600 stickers that you got, would be:
= ( Number of stickers in total / Number of stockers per pack ) x Price per sticker pack
= 600 / 10 x 2
= 60 x 2
= $ 120
Your profit would be:
= Total revenue from stickers - total cost
= 120 - 26. 97
= $ 93. 03
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Find the radius of convergence R of the series. [infinity] n bn (x − a)n, b > 0 n = 1
R= ____
Find the interval of convergence of the series.
The radius of convergence R = 1/b
The radius of convergence for a power series is given by the formula:
1/R = lim sup |bn|^(1/n)
In this case, the radius of convergence is given by:
1/R = lim sup |bn|^(1/n) = lim sup b^(1/n) = b^(1/n) as b > 0.
So R = 1/b
As for the interval of convergence, it is the set of values of x for which the series converges. The series converges when |x-a| < R, and diverges when |x-a| > R. So the interval of convergence is (a-R, a+R) which is (a-1/b, a+1/b)
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Which expression is not equivalent to (5^2x)^3
Answer:
#3
Step-by-step explanation:
For this... you just multiply the exponents together to get 6x
any of the others that do NOT have 6x as a product of exponents is not equiv ..... so #3 is not equivalent
Option 3 is not equivalent to the given expression.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is (5²ˣ)³.
Now, (5⁶ˣ)
(5ˣ)⁶
(5²)³ˣ
Therefore, option 3 is not equivalent to the given expression.
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I need help with this and the first person who can answer this correctly gets a BRANLIST
the photo is the question
The fractions in the simplest form is: = -73/24.
How to Solve Fractions?Given the expression involving fractions, -7/8 + (-2⅙), we would solve as shown below:
-7/8 + (-2⅙)
Convert the mixed fraction to improper fraction
= -7/8 + (-13/6)
Distribute to eliminate the parentheses
= -7/8 - 13/6
= (-21 - 52)/24
= -73/24
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HELP................................
Answer: Letter C
Step-by-step explanation:
just look at the problem a little closely
is this thingy i did right????
Answer:
Yes!
Step-by-step explanation:
I did this work too you did it correctly!
Divide 3500 in the ratio 2: 2 : 3
Answer:
1000 : 1000 : 1500
Step-by-step explanation:
2 + 2 + 3 = 7
3500 ÷ 7 = 500
2 × 500 = 1000
2 × 500 = 1000
3 × 500 = 1500
1000 : 1000 : 1500
Answer:
1000 : 1000 : 1500
Step-by-step explanation:
you divide 3500 into 7 and find the answer = 500
then 500 x 2 = 1000,
500 x 3 = 1500
I need help with number 13.. no idea how to solve it.
Answer:
Step-by-step explanation:
What is the sum or difference? 15b^5 + 22b^5
Answer:
37b^5
Step-by-step explanation:
15b^5+22b^5
Combine the all like terms.
Since both of the numbers have b^5, all you have to do is add 15+22.
What is the value of x in the equation 2/3(1/2x+12)=1/2(1/3x+14)-3
A.-24
B.-6
C.-2/3
D.0
The ratio of solid beads to clear beads in a vase is 820. Select all the correct statements that tell if the operations will give an equivalent ratio.
Answer: C) Multiply the number of solid and clear beads by 2.
D) Divide the number of solid and clear beads by 4.
E) Multiply the number of solid and clear beads by 18.
Step-by-step explanation:
Multiplication and Division are the two arithmetic operations that are used to get an equivalent ratio or fraction.
So, the operations that will give an equivalent ratio are Multiplication and Division.
So that correct options are
C) Multiply the number of solid and clear beads by 2.
D) Divide the number of solid and clear beads by 4.
E) Multiply the number of solid and clear beads by 18.
Factorizar completamente.
15v^7-21v^6-18v^5
Answer:
3v^5*(5v+3)*(v-2)
Step-by-step explanation:
twelve new students are standing in a line. how many different ways can the first seven students in line order themselves? provide your answer below:
I hope this can help you out some
Given that the econd term of a equence i 8 and the fourth term i 2, Franci wrote the explicit rule an = 4 · ( 1 4 )n − 1 for the equence. Complete the explanation of hi error
Francis made an error in writing the explicit formula. The correct formula should be an = 4 * (1/4)⁽ⁿ⁻¹⁾, not an = 4 * (1/4)ⁿ⁻¹. The exponent should be (n-1), not just n, to correctly represent the sequence where the second term is 8 and the fourth term is 2.
Explicit Formula Error CorrectionTo determine the error in Francis' formula, we need to apply it to the known terms of the sequence and see if it produces the correct values. For example, for the second term, n = 2, so using Francis' formula:
an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)¹ = 4 * 1/4 = 1
But the second term of the sequence is 8, not 1. So the formula is incorrect.
Similarly, for the fourth term, n = 4, so using Francis' formula:
an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)³ = 4 * 1/64 = 1/16
But the fourth term of the sequence is 2, not 1/16. So the formula is still incorrect.
Therefore, we can conclude that the formula written by Francis is not correct and needs to be corrected to accurately describe the sequence.
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7) Find the area of a triangle with a base of 20m and a height of 12m? * 1 point 120 m2 O 100 m2 O 240 im2 60 m2
Answer:
option A is correct
Step-by-step explanation:
Base=20m
Height=12h
We know that,
Area=1/2×Height×Base╭☞Area=1/2×20×12
╭☞1/2×240
╭☞240/2
╭☞120m^2
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose the manufacturer is correct. If 10 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate
The Probability of that more than 7 of them germinate is 0.2948.
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.
The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.
The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.
The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268 = 0.268 = 26.8%.
The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.
Thus, The Probability of that more than 7 of them germinate is 0.2948.
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The height of elementary school boys in the United States is bell-shaped with an average height of 145 cm and a standard deviation of 7 cm. Approximately what percentage of elementary school boys in the United States are above 152 cm Round your answer to 1 decimal place.
Given that the height of elementary school boys in the United States is bell-shaped with an average height of 145 cm and a standard deviation of 7 cm.
We need to find the percentage of elementary school boys in the United States are above 152 cm. Calculate the z-score for find the probability using the z-score table. The probability of z-score of 1 or greater is 0.1587.
This probability represents the area under the standard normal distribution curve that is to the right of the z-score of 1. Convert to a percentage. Therefore, approximately 15.9% of elementary school boys in the United States are above 152 cm.
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Marie works for an optician.
She records the depth of a lens in each of the 100 pairs of glasses on display.
Depth
Her results are summarised in the table.
Number of pairs of glasses
Depth of lens, x mm,
to the nearest mm
10 << 20
5
20 < X < 30
20
30 < x < 40
23
40 <r< 50
52
In which group does the median lie?
(1 mark)
10 < x < 20
20 < x < 30
30 < x < 40
40 < x < 50
The median lies in the group "30 < x < 40".
Median in Lens DepthTo determine the median, we followed these steps:
Arranged the data in ascending order: 10, 20, 20, 23, 52Counted the number of observations. In this case, there are 5 observations.Since the number of observations is odd (5), the median is the middle value. In this case, the middle value is 23.Identified the group that contains the median value. In this case, the group "30 < x < 40" contains the median value of 23.Therefore, the median lies in the group "30 < x < 40".
The median is a statistical measure that represents the middle value in a set of numerical data. It is used to describe the central tendency of the data and to determine where the majority of the values lie. To find the median, the data must be arranged in ascending or descending order, and the middle value is taken.
If the number of observations is odd, the median is the middle value. If the number of observations is even, the median is the average of the two middle values. The median is useful for finding the central value of data that may have extreme outliers or skewness, as it is not affected by the presence of such values.
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does tan^2x = sin^2x/cos^2x
Answer:
Yes they both are equal
Un tipo de tela cuesta $31.25 por 5 yardas cuadradas. Otro tipo de tela cuesta $71.50 por 11 yardas cuadradas. ¿La relación entre el número de yardas cuadradas y el costo es proporcional entre los dos tipos de tela?
Answer:
como proporción de dos tipos de tela es diferente.
por lo tanto, la relación entre el número de yardas cuadradas y el costo
no es proporcional entre los dos tipos de tejido
Explicación paso a paso:
Para que una relacion sea proporcional
a:b = c:d
en otra forma
a/b = c/d
______________________________________________
Proporción para el primer tipo de tejido
costo de tela/ área de tela = 31.25/5 = 6.25
Ratio para otro tipo de tejido
costo de tela/ área de tela = 71.50/11 = 6.5
como proporción de dos tipos de tela es diferente.
por lo tanto, la relación entre el número de yardas cuadradas y el costo
no es proporcional entre los dos tipos de tejido
Step-by-step explanation: