A chemist weighed out 101. g of potassium. Calculate the number of moles of potassium she weighed out.
Round your answer to 3 significant digits.
Answer:
101 g of Potassium is equivalent to 2.583 moles of Potassium.
Step-by-step explanation:
As per definition of moles, molecular weight of a substance = 1 mole
So molecular weight of Potassium = 39.0983 g
∵ 39.0983 g weight of Potassium = 1 mole
∴ 1 g weight of Potassium = [tex]\frac{1}{39.0983}[/tex] g
∴ 101 g of Potassium = [tex]\frac{101}{39.0983}[/tex] g
= 2.583 moles
Therefore, 101 g of Potassium is equivalent to 2.583 moles of Potassium.
Use the identity below to complete the tasks: a3 + b3 = (a + b)(a2 - ab + b2) Use the identity for the sum of two cubes to factor 8q6r3 + 27s6t3. What is a? What is b? Factor the expression. es003-1.jpg es003-2.jpg es004-1.jpg es005-1.jpg es006-1.jpg
a is 2q^2r
b is 3s^2t
the expression factored is...
(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)
The given expression is a sum of two cubes. The factorization of the given expression is [tex](2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex].
Given:
The given identity is, [tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex].
It is required to factorize [tex]8q^6r^3 + 27s^6t^3[/tex] using the given identity.
The given expression can be written in the form of sum of two cubes as,
[tex]8q^6r^3 + 27s^6t^3=2^3q^6r^3 + 3^3s^6t^3\\=(2q^2r)^3+(3s^2t)^3[/tex]
Here, a and b are [tex]2q^2r[/tex] and [tex]3s^2t[/tex] respectively.
Now, the factorization of the given expression can be one as,
[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\(2q^2r)^3+(3s^2t)^3=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex]
Therefore, the factorization of the given expression is [tex](2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex].
For more details, refer to the link:
https://brainly.com/question/11994048
If an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. this mathematical theorem is called what? choose the correct answer below. the random number table the law of binomial probability the law of simulation the law of large numbers
FAN AND MEDAL!!
The formula for the circumference of a circle is C = 2πr, where r is the radius. Rearrange the formula to solve for r and select the correct option below.
r = C over 2 pi
r = 2πC
r = C − 2π
r = 2 pi over C,
Jim makes and sells denim knapsacks for $10.50 apiece. The knapsacks cost $7 apiece to produce.
Jim makes ____% profit on each knapsacks.
Show your work.
A. 33
B. 50
C. 75
D. 125
In this problem, to solve for the gross profit, you have to deduct the cost of each knapsack to its selling price.
The gross profit of Jim is $3.50 ($10.50 - $7).
To compute the gross profit rate, you have to divide the gross profit ($3.50) to the cost of each knapsack ($7).
$3.50 / $7 = 0.5 or 50%
Therefore, Jim makes 50% profit on each knapsack.
PLEASE HELP ME! I keep getting the wrong answer.
Given the parent functions f(x) = 5x − 1 and g(x) = 3x − 9, what is g(x) − f(x)?
g(x) − f(x) = 3x − 8 − 5x
g(x) − f(x) = 3x − 10 − 5x
g(x) − f(x) = −2x − 8 − 3x
g(x) − f(x) = −2x − 10 − 3x,
Which diagram represents rx ◦ RO,180°?
Answer:
the correct answer is B
Thaddeus wants to attend a sports camp this spring that costs $170.00 for the week. He rakes leaves during the fall and earns $58.35. He shovels snow during the winter and earns $85.80. How much more money does Thaddeus need to earn to pay for the sports camp? Write your answer as a decimal. Thaddeus needs to earn
He need $25.85 more to pay.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Charge for week = $170
earnings from leaves raking = 58.35
Earnings from snow shoving = 85.80
Total earnings = 85.80 + 58.35 = $144.15
So, he need more
=170 - 144.15
=$25.85
Hence, He need $25.85 more to pay.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
If 12 is added to the square of a positive integer, the result is 133. Find the positive integer
11___________________________
PLEASE HELP ME QUICK
PLEASE EXPLAIN AND IF 2 PPL ANSWER I WILL GIVE BRAINLIEST..
THX
What type of graph is useful when depicting piece rates?
A. Bar graph
B. Scatterplot
C. Slope
D. Linear graph
A linear graph is most useful when depicting piece rates as it clearly shows the continuous relationship and trend between the number of items produced and the pay received, represented by a positive, negative, or zero slope.
When depicting piece rates, which relate the payment an individual receives to the number of pieces produced or tasks completed, a linear graph or line graph is often most useful. Linear graphs effectively illustrate relationships between two variables, such as the number of items produced (on the x-axis) and the amount of money earned (on the y-axis), highlighting trends and changes over a range of values. A bar graph may be best to illustrate comparisons when showing the relationship of separate and distinct categories. However, in the context of piece rates, where there is a continuous relationship between work done and pay received, the connected data points in a line graph provide a clear visual of the rate of payment as it changes with the number of pieces.
Understanding the appearance of slopes is essential in reading graphs. A positive slope indicates an increase or upward trend in the relationship between the two variables, a negative slope represents a decrease or downward trend, and a zero slope indicates a consistent, flat relationship with no change over time.
Write and simplify the equation you would use to solve the problem below. Scott has a jar of quarters and dimes. If there is $4.15 in the jar, and there are 4 dimes, how many quarters are in the jar?
A. x(25 + 10) = 415
B. 25x + 40 = 415
C. 25x + 10 = 415
D. 4 * 10x + 25x = 415
Easy Money CLick here
50 POINTS!!!!! HELP Soybean meal is 16% protein; cornmeal is 8% protein.How many pounds of each should be mixed together in order to get 320-lb mixture that is 9% protein?
How many pounds of cornmeal should be in the mixture? How many pounds of soybean should be in the mixture?
helppppppppppppppppppppppppppp
Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the squares of the first two. one solution is 33, 55, and 77. find three other consecutive odd integers that also satisfy the given conditions.
Answer:
Step-by-step explanation:
city purchases a square plot of land with an area of (x2+ 24x + 144) square yards for a park. The dimensions of the plot are of the form ax + b, where a and b are whole numbers. Find an expression in terms of x for the perimeter of the park. An expression in terms of x for the perimeter of the park is Select... select 8) The perimeter of the park when x = 10 yards
can anyone help me solve these two questions
1 you have 75% of your pay direct/-deposit how much is given to you as a check per week ?
2. of the amount direct-deposited problem 1 you have 50% placed into a savings account how much is deposited in the savings account each month?,
Final answer:
The student takes home a check of $25.94 each week after deductions and direct deposit. Of the amount direct-deposited, $38.92 is placed into a savings account weekly, resulting in $155.68 being deposited into the savings account monthly.
Explanation:
To solve the first problem, we must start by calculating the gross income for one week of work:
Gross income = Hourly rate × Hours worked per week = 13.76 × 10 = $137.60Next, we calculate each of the deductions from the gross income:
FICA = Gross income × FICA rate = $137.60 × 7.65% = $10.52Federal tax withholding = Gross income × Federal tax rate = $137.60 × 9.8% = $13.48State tax withholding = Gross income × State tax rate = $137.60 × 7.13% = $9.82Now we calculate the total deductions:
Total deductions = FICA + Federal tax + State tax = $10.52 + $13.48 + $9.82 = $33.82The net income after deductions is:
Net income = Gross income - Total deductions = $137.60 - $33.82 = $103.78We then determine the amount directly deposited:
Direct deposit amount = Net income × Direct deposit percentage = $103.78 × 75% = $77.84The remaining paycheck given as a check each week is:
Check amount = Net income - Direct deposit amount = $103.78 - $77.84 = $25.94For the second question, we already know from the scenario that $77.84 is directly deposited. We just need to calculate the amount that goes into the savings account:
Savings deposit per week = Direct deposit amount × Savings account percentage = $77.84 × 50% = $38.92 per weekTo find the monthly savings deposit, we assume there are 4 weeks in a month:
Savings deposit per month = Savings deposit per week × 4 = $38.92 × 4 = $155.68 per monthScott and Harry went cycling every day. They increased the number of minutes of cycling every week as described below: Scott: Cycled for 10 minutes every day in the first week, 15 minutes in the second week, 20 minutes in the third week, and 25 minutes in the fourth week. Harry: Cycled for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Which statement best describes the methods used by Scott and Harry to increase the time they spent cycling? Scott's method is linear because the number of minutes increased by an equal number every week. Harry's method is linear because the number of minutes increased by an equal factor every week. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal factor every week. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal number every week.
Answer:
Scott's method is linear because the number of minutes increased by an equal number each week.
Arithmetic progressions use the linear method.
The graph proves it, by obtaining a straight line.
Step-by-step explanation:
Scott used an arithmetic progression, with a ratio of 5, that is adding 5 to the value of each previous week.
Let us call the time in minutes of each week, so the arithmetic progression is of the following linear form:
S1 = k0 = 10
S2 = k1 + 5 = 10 + 5 = 15
S3 = k2 + 5 = 15 + 5 = 20
S4 = k3 + 5 = 20 + 5 = 25
See attached chart.
Harry used a geometric progression, with a ratio of 2, that is multiplying by 2 the value of each week.
Let us call time in minutes of each week, so the geometric progression is of the following exponential form:
S1 = k0 = 10
S2 = k1 x 2 = 10 x 2 = 20
S3 = k2 x 2 = 20 x 2 = 40
S4 = k3 x 2 = 40 x 2 = 80
See attached chart.
Let's analyze the four options given:
Scott's method is linear because the number of minutes increased by an equal number each week.
True: The graph proves it, by obtaining a straight line.
Also, Arithmetic progressions use the linear method.
Harry's method is linear because the number of minutes increased by an equal factor each week.
False: The graph shows that it is not linear, a straight line is not obtained.
Both Harry and Scott's method are exponential because the number of minutes increases by an equal factor each week.
False: Scott's method is linear.
Both Harry and Scott's method are exponential because the number of minutes increases by an equal number each week.
False: Scott's method is linear.
our family shares all the minutes in your cell phone plan. Every 30 days you get 4,800 minutes. Four people share the minutes. How many minutes can each person use per day if the minutes are split fairly?
Question 4 Unsaved
What is the value of θ for the acute angle in a right triangle?
sin(θ) = cos(58°)
Question 4 options:
32°
58°
122°
29°
The angle sum property of a triangle states that:
Sum of three angles of a triangle is 180 degrees.
Now we are given a right angled triangle here.
The question can be described as shows in figure.
Here ABC is a triangle right angles at B.
The other angle is 58 degrees.
Using angle sum property:
∠A + ∠B +∠C =180
let ∠A = 58° and ∠B =90°
So we have ,
58° + 90° +∠C =180
148°+∠C=180°
∠C = 32°
Answer : Angle C is 32 degrees.
Option A is correct choice
a triangle has verices at (4,-2), (-3,0) and (1,3). what is the approximate perimeter of the triangle?
1. 17 units
2.18 units
3.19 units
4.20 units
The reference angle for an angle whose measure is 260 degrees is
You are buying a $24.50 item that has 6% sales tax. You give the cashier $40 to pay for the item. How much change do you get back?
Answer:
14.03
Step-by-step explanation:
I took a test
There are $14.03 get change do you get back.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
You are buying a $24.50 item that has 6% sales tax.
And, You give the cashier $40 to pay for the item.
Here, You are buying a $24.50 item that has 6% sales tax.
Hence, The amount of sales tax = 6% of $24.50
= 6/100 × $24.50
= $1.47
Thus, The amount of charge = $40 - ($24.50 + $1.47)
= $40 - $25.97
= $14.03
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ6
Consumer math help
1. When you pay a bill in full, you are
a. paying it off
b. defaulting
c. maximizing profit
d. zeroing
2. APR stands for
a. annual partial
b. amortized percentage rate
c. annual percentage rate
d. amortized partial rate
3. when calculating interest accrued, you should
a. multiply the principal by APR
b. multiply the principal by the APR and number of months
c. multiply the principal by the APR and number of months, then divide by the total number of the months in the year
d. multiply the principal by the APR and the number of months in the year, then divide by the,
Answer:
A, C, C
Step-by-step explanation:
Some other dude answered it. I just simplified his answer.
order the following numbers from least to greatest. sqrt 11, -0.4, (-4/3), 0.8, sqrt 2
The numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The numbers are given below.
√11, -0.4, (-4/3), 0.8, √2
Convert all the numbers into decimal form, then we have
√11, -0.4, (-4/3), 0.8, √2
3.32, -0.4, -1.33, 0.8, 1.41
Then the numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.
More about the ascending order link is given below.
https://brainly.com/question/320500
#SPJ2
the difference of a number t and 7 is greater than 10 and less than 20....show me how to write this as an inequality.,
what are the similarities between reflections translations rotations and dilations?
What is a quartic function with only the two real zeroes given?
x=5 and x=1
The answer is
Y=x^4-6x^3 +6x^2 -6x+5
The quartic function with only two real zeroes given as; x=5 and x=1 is; x⁴ -12x³ +46x²-60x +25
With two zeroes given for a quartic equation;
The zeroes must appear twice each such that the factors of the function are;
(x-5), (x-5) , (x -1) and (x- 1)The quartic function is therefore:
(x² -10x +25) (x² -2x +1)(x² -10x +25) (x² -2x +1)x⁴ -2x³ +x² -10x³ +20x² -10x + 25x² -50x +25(x² -10x +25) (x² -2x +1)x⁴ -2x³ +x² -10x³ +20x² -10x + 25x² -50x +25= x⁴ -12x³ +46x²-60x +25
Read more;
https://brainly.com/question/23156357
Identify the trinomial that is a perfect square. HELP ASAP
A.64x^2 − 90x + 25
B.64x^2 − 70x + 25
C. 81x^2 − 70x + 16
D. 81x^2 − 72x + 16