Rounding off the answer to two significant digits we get, Number of grams of NaHCO3 = 39.00 g.
In 2.30 × 1024 formula units of NaHCO3, there are 39.00 grams.
The molecular weight of NaHCO3 is 84.007 g/mol or 84.007 g per formula unit.
Therefore, we can utilize the following steps to convert the number of formula units of NaHCO3 to grams.
Step 1: Find the molar mass of NaHCO3NaHCO3's molar mass is equal to the sum of the molar masses of all the atoms it contains.
We can calculate the molar mass as follows:
NaHCO3 = 1 × (22.99 g/mol) + 1 × (1.01 g/mol) + 3 × (16.00 g/mol) + 1 × (12.01 g/mol)
= 84.007 g/mol
Step 2: Convert the number of formula units to molesWe'll need to use Avogadro's number to convert the number of formula units to moles.
1 mol of NaHCO3 contains 6.022 × 1023 formula units of NaHCO3.So, the number of moles of NaHCO3 present in 2.30 × 1024 formula units of NaHCO3 is calculated as follows:
Number of moles = (2.30 × 1024 formula units)/6.022 × 1023 formula units/mol= 3.82 mol
Step 3: Convert moles to gramsNow, we can use the calculated number of moles to determine the number of grams of NaHCO3 present in the formula units using the molar mass of NaHCO3.
So,
Number of grams = number of moles × molar mass
= 3.82 mol × 84.007 g/mol
= 320.39 g
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Reduce 0.30 to its lowest term.
Answer:
3/10 (If % it is 3/100)
Step-by-step explanation:
Hope this helps!
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helppppp plss i dont understand
Function: y=3 sin(x) + 5
Range: 2 sy<8
How can you look at the function and know what the
range is?
Answer:
see explanation
Step-by-step explanation:
The function has a maximum value when sinx = 1 , then
y = 3(1) + 5 = 3 + 5 = 8
The function has a minimum value when sinx = - 1, then
y = 3(- 1) + 5 = - 3 + 5 = 2
Thus
range is 2 < y < 8
helpp simplify thissss
Answer:
2c^2
Step-by-step explanation:
8c^3d^2/4cd^2
divide the 8 by 4 to get 2
You subtract the powers so c^3-c=c^2 the d^2 cancel each other out
that leaves 2c^2
Spots dog bowl is cylindrical and does not have a top surface. The bowl is 8 inches in diameter and has a height of 5.7 inches. What is the total surface are of the dog bowl?
Answer:
Total surface are of the dog bowl is 193.424 in²=================
We need to find the total surface area of a cylinder excluding its top.
Dimensionsd = 8 in,h = 5.7 inEquationS = πd²/4 + πdhSubstitute and calculateS = 3.14*8²/4 + 3.14*8*5.7 = 193.424 in²Exponential growth, starts at 2, asymptote at y = 0 what is the equation?
According to the problem, the initial condition is 2, which means the coefficient of the exponential must be 2, so the given situation can be model by the following equation
\(f(x)=2(2)^x\)0=x2+18x+45
I need help with this place
The factorise quadratic equation x² + 18x + 45 = 0 is (x + 3)(x + 15)
How to factorise quadratic equation?A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.
Therefore, quadratic equation can be represented as follows:
ax² + bx + c
where
a, b and c are constantHence, let's factorise x² + 18x + 45 = 0
x² + 18x + 45 = 0
Let's find the two numbers to add to get 18 and multiply to get 45
Therefore, the numbers are 3 and 15
x² + 18x + 45 = 0
x² + 3x + 15x + 45 = 0
x(x + 3) + 15(x + 3) = 0
(x + 3)(x + 15) = 0
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the result of a number when increased by 15% is 161. Find the number
Answer:
(15×7)×29/€549×898×68
Ginger borrowed $550 to purchase software and a camera. The simple interest rate is 8% per year. How much will she save if she pays off the loan in two and a half years instead of three and half years?
Answer:
44$
Step-by-step explanation:
8% of (550 US$) =
44 US$
A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?
Answer:
4.7in^3
Step-by-step explanation:
The volume of a cone is given by the formula:
\(V=\frac{\pi r^2h}{3}\)
The given information is:
\(h=4in\)
\(d=3in\)
\(r=1.5in\)
The cone is filled up to half, therefore the height at which the water peaks is 1/2 of 4 inches, which is 2in. Plug this information into the volume formula to get:
\(V=\frac{2\pi (1.5^)^2}{3}=4.7in^3\)
er
A keyboarding instructor at a community
college collected data comparing a
student's age and their typing speed.
The equation for the line of best fit is
given as y=-1.4x + 117.8, where x is the
"age in years" and y is the "typing speed.
If you are 25 years of age, what is your
typing speed?
If you are 25 years of age, your typing speed is equal to 82.8 units.
What is a line of best fit?In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
Based on the scatter plot, we can logically deduce that an equation which represents the line of best fit include the following:
y = -1.4x + 117.8
When you are 25 years of age, your typing speed can be calculated as follows;
y = -1.4x + 117.8
y = -1.4(25) + 117.8
y = -35 + 117.8
y = 82.8 units.
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a representative of a car manufacturer in the united states made the following claim in a news report. ten years ago, only 53 percent of americans owned american-made cars, but that figure is significantly higher today. a research group conducted a study to investigate whether the claim was true. the group found that 56 percent of a randomly selected sample of car owners in the united states owned american-made cars. a test of the appropriate hypotheses resulted in a p-value of 0.283. assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a
There isn't enough evidence to indicate that the percentage of Americans who own American-made cars is more than 53 percent.
A representative of a car manufacturer in the United States claimed that 53 percent of Americans owned American-made cars ten years ago.
However, today, the percentage is higher.
A research group conducted a study to find out whether the statement was true.
They found out that 56 percent of a random sample of car owners in the United States owned American-made cars. The appropriate hypothesis test produced a p-value of 0.283.
Assuming the conditions for inference were satisfied, is there sufficient evidence to conclude, at the level of significance of α = 0.05
At α = 0.05, we want to see if there is enough evidence to reject the null hypothesis.
Therefore, since α = 0.05, the null hypothesis (H0) should be tested against the alternative hypothesis (Ha).
H0: μ ≤ 0.53 (The percentage of Americans who own American-made cars is no higher than 53%).
Ha: μ > 0.53 (The percentage of Americans who own American-made cars is higher than 53%).
It is clear that the researcher's claim was not supported by the evidence since the p-value of 0.283 was far above the significance level of α = 0.05.
Therefore, there is no statistically significant evidence to reject the null hypothesis (H0).
The research group discovered that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars.
The null hypothesis states that the percentage of Americans who own American-made cars is no higher than 53 percent.
Since the p-value was greater than 0.05, we failed to reject the null hypothesis.
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Your answer is
Dante will run at least 33 miles this week. So far, he has run 15 miles. What are the possible numbers of additional miles he will run?
Use t for the number of additional miles he will run.
Write your answer as an inequality solved for t.
The number of possible additional miles that he needs to run will be 18.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Dante will run at least 33 miles this week. So far, he has run 15 miles.
Then the number of possible additional miles that he needs to run.
Let t be the number of additional miles he will run. Then the inequality is given as,
15 + y ≤ 33
y ≤ 33 - 15
y ≤ 18
The number of possible additional miles that he needs to run will be 18.
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What is the value -5(-2)
Answer: 10
Step-by-step explanation: When multiplying integers,
if the signs are the same, the product is positive.
So a negative times a negative always equals a positive.
Therefore, -5(-2) is 10.
Answer:
10
Step-by-step explanation:
-5 x -2 = 10
The function t=f(S) models the time, in hours, for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters. What are the units for f’’(S)?
Given that,
The function is t = f(S).
To find,
The unit of f''(S).
Solution,
The given function shows the time for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters.
f'(S) will be in hours per Mililiter
And
f''(S) will be in hours per Mililiter per Mililiter. Therefore, this is the required solution.
need the answer
Find (3x+7)2 .
Answer:
9x² + 42x + 49
Step-by-step explanation:
Identity
(x + a)² = x² + 2ax + a²In this case, x = 3x and a = 7, so substitute the values.
(3x + 7)²(3x)² + 2(3x)(7) + (7)²9x² + 42x + 49Answer:
\(9x^2 + 42x + 49\)
Step-by-step explanation:
Step 1: Factor out the expression
\((3x + 7)^2\)
\((3x + 7)(3x + 7)\)
\((3x * 3x) + (3x * 7) + (7 * 3x) + (7 * 7)\)
\(9x^2 + 21x + 21x + 49\)
\(9x^2 + 42x + 49\)
Answer: \(9x^2 + 42x + 49\)
Strategies for Rational Numbers Please help me
Answer:
i think its the same thing
Step-by-step explanation:
I have provided 2 pictures. Please help.
Answer:
Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1
To find the area of a shape, multiply the length by the width by the height.
Circle: True or False
Answer:
false
Step-by-step explanation:
Equations with parentheses Solve for b 3-2(b-2)=2-7b3−2(b−2)=2−7b3, minus, 2, left parenthesis, b, minus, 2, right parenthesis, equals, 2, minus, 7, b b =b=b, equals Stuck? Watch a video or use a hint. Report
Answer:
Can you retype the question it is difficult to understand when copy and pasted
Step-by-step explanation:
Answer:
sorry
Step-by-step explanation:
Lashonda drove 495 miles in 9 hours.
At the same rate, how many miles would she drive in 13 hours?
Answer:
715 miles
Step-by-step explanation:
We Know
Lashonda drove 495 miles in 9 hours.
495 / 9 = 55 miles per hour
At the same rate, how many miles would she drive in 13 hours?
We Take
55 x 13 = 715 miles
So, she drives 715 miles in 13 hours.
\(\begin{array}{ccll} miles&hours\\ \cline{1-2} 495 & 9\\ m& 13 \end{array} \implies \cfrac{495}{m}~~=~~\cfrac{9}{13} \\\\\\ (495)(13)=9m\implies \cfrac{(495)(13)}{9}=m\implies 715=m\)
A) Is divided by (x-3) the remainder is -10
B) Determine the remainder when f(x) is divided by x +3.
Remainder 11. We are aware that when a number is split by three, the remainder is created by dividing the digit sum by three. The law of three's divisibility asserts that a number is entirely divisible by three if the sum of its digits is also three-digit divisible.
How may a function's remainder be found?If a polynomial f(x) is divided by xa, the result is the constant f(a) and f(x)=q(x)(xa)+f(a), where q(x) is a polynomial of degree one lower than f(x )'s.
The remainder theorem asserts that "when a polynomial of degree p(x) is divided by a linear polynomial of degree x - a, the remaining is p(a)" (OR) "when a polynomial of degree p(x) is divided by a linear polynomial of degree ax + b, the remainder is p(-b/a)".
The law of three's divisibility asserts that a number is entirely divisible by three if the sum of its digits is also three-digit divisible. We are aware that when a number is split by three, the remainder is created by dividing the digit sum by three.
The formula reads as follows: f(x)/x + 3.
A 0 x + 3 = 0 divisor should be used.
Calculate x x = -3.
The remainder of the quotient is 11.
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use differentials to estimate the value of 1.2−−−√4. compare the answer to the exact value of 1.2−−−√4 .
To use differentials to estimate the value of 1.2√4, we need to first find a suitable function and a point close to the one we want to estimate. Since we are dealing with square roots, we can use the function f(x) = √x. The point closest to 4.2 (1.2 added to 4) that we know the exact value for is 4, as √4 = 2.
1. Find the derivative of f(x) = √x:
f'(x) = (1/2)x^(-1/2)
2. Evaluate the derivative at the known point, x = 4:
f'(4) = (1/2)(4)^(-1/2) = (1/2)(2)^(-1) = 1/4
3. Compute the differential, using Δx = 0.2 (the difference between 4.2 and 4):
Δy = f'(4)Δx = (1/4)(0.2) = 0.05
4. Estimate the value of 1.2√4 by adding Δy to the exact value at x = 4:
1.2√4 ≈ 2 + 0.05 = 2.05
Now, let's compare this to the exact value of 1.2√4:
Exact value: 1.2√4 = 1.2(√4.2) ≈ 1.2(2.0494) ≈ 2.0593
The estimated value using differentials is 2.05, while the exact value is approximately 2.0593. The two values are relatively close, demonstrating the effectiveness of using differentials for estimation.
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The value of x is_____and the value of y is ___.
Answer:
x=60 y=50
Step-by-step explanation:
60+y=110
y=50
Help me with this please
The two pairs of Adjacent angles in the figure are:
∠1 and ∠3, ∠3 and ∠7.
The correct option is c.
In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:
Adjacent angles to ∠1:
∠1 and ∠5
∠1 and ∠3
Adjacent angles to ∠3:
∠3 and ∠1
∠3 and ∠7
Adjacent angles to ∠5:
∠5 and ∠1
∠5 and ∠7
Adjacent angles to ∠7:
∠7 and ∠3
∠7 and ∠5
Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.
from the given choices,
∠1 and ∠3, ∠3 and ∠7
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\(x=\frac{x}{y} (y-5)\\3\)
Answer:
Step-by-step explanation:
it is so easy it is pie divided by 45.0547264307549846546725
can you help me thank you
Which segment represents a radius of the circle below?
Answer: Choose A my smart self just knew
a shop is having a sale all items are reduced by 30% work out the sale price of an item normally priced at £110
Answer:
77 us dollar
Step-by-step explanation:
because I used a calculator
Answer:
77
Step-by-step explanation:
Wiseman Video plans to make four annual deposits of $2,000 each to a special building fund. The fund’s assets will be invested in mortgage instruments expected to pay interest at 12% on the fund’s balance. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
Using the appropriate annuity table, determine how much will be accumulated in the fund on December 31, 2019, under each of the following situations.
1. The first deposit is made on December 31, 2016, and interest is compounded annually.
Table or calculator function: FVA of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $9,559
2. The first deposit is made on December 31, 2015, and interest is compounded annually.
Table or calculator function: FVAD of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $10,706
3. The first deposit is made on December 31, 2015, and interest is compounded quarterly.
Using the FV of $1 chart, calculate the fund balance:
Deposit Date i = n = Deposit Fund Balance 12/31/2019
12/31/2015 3% 16 $2,000 $3,209
12/31/2016 3% 12 2,000 2,852
12/31/2017 3% 8 2,000 2,534
12/31/2018 3% 4 2,000 2,251
$10,846
4. The first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019
$2,000 $8,000
The fund balance at the end of 2019 will be $8,000.
The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.
Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.
Using the FVA of $1 table; Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $9,559
Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.
Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:
Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251
The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.
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