Answer:
C. 105 pieces of jewelry
Step-by-step explanation:
Given the following data;
Percentage of sales, Ps = 42%.
Total number of jewelry, T= 250.
To find the pieces of jewelry sold for the day, we would multiply the the total number of jewelry by the percentage of sales;
\( Pieces \; sold = Ps * T\)
\( Pieces \; sold = \frac{42}{100}*250\)
\( Pieces \; sold = 0.42 * 250\)
Pieces sold = 105 jewelry.
Therefore, 105 pieces of jewelry were sold.
What is the value of 112.08-47.1
i got 64.98 i really hope this helps :)
Use the number line to plot –3, 1, and 3.
Ok, I'll try, the picture is below.
Use the definition of the laplace transform to show that if f(x) = 0 then
\(l[f(x)] = 0\)
show that f(x)= 1 then
\(l[f(x)] = \frac{1}{s} \)
show that f(x)= x then
\(l[f(x)] = \frac{1}{ {s}^{2} } \)
show that f(x)= e^ax then
\(l[f(x)] = \frac{1}{s - a} \)
provide the steps by using the definition and evaluating the integral.
Answer:
Step-by-step explanation:
the Laplace transform of the function f(x) = e^(ax) is 1/(a-s).
The definition of the Laplace transform of a function f(t) is given by:
L{f(t)} = F(s) = ∫_0^∞ e^(-st) f(t) dt
where s is a complex number.
If f(x) = 0, then we have:
L{f(x)} = L{0} = ∫_0^∞ e^(-st) 0 dt = 0
Therefore, the Laplace transform of the zero function is zero.
If f(x) = 1, then we have:
L{f(x)} = L{1} = ∫_0^∞ e^(-st) dt
Using integration by parts, we get:
L{1} = ∫_0^∞ e^(-st) dt = [-e^(-st)/s]_0^∞ = [0 - (-1/s)] = 1/s
Therefore, the Laplace transform of the constant function 1 is 1/s.
If f(x) = x, then we have:
L{f(x)} = L{x} = ∫_0^∞ e^(-st) x dt
Using integration by parts again, we get:
L{x} = ∫_0^∞ e^(-st) x dt = [(-e^(-st) x)/s]_0^∞ + (1/s) ∫_0^∞ e^(-st) dt
Since e^(-st) x approaches zero as t approaches infinity, the first term evaluates to zero. We can then simplify the second term using the result from part 2:
L{x} = (1/s) ∫_0^∞ e^(-st) dt = 1/s * (1/s) = 1/s^2
Therefore, the Laplace transform of the function f(x) = x is 1/s^2.
If f(x) = e^(ax), then we have:
L{f(x)} = L{e^(ax)} = ∫_0^∞ e^(-st) e^(ax) dt
Simplifying the integrand, we get:
L{e^(ax)} = ∫_0^∞ e^((a-s)t) dt
We can evaluate this integral using the formula:
∫_0^∞ e^(-bx) dx = 1/b
Setting b = a - s, we get:
L{e^(ax)} = ∫_0^∞ e^((a-s)t) dt = 1/(a-s)
Therefore, the Laplace transform of the function f(x) = e^(ax) is 1/(a-s).
To know more about Laplace transform refer here:
https://brainly.com/question/31481915#
#SPJ11
which of the following expressions are equivalent to ∑i=12n(i 1)2 ?
Answer:
The expression (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n is equivalent to ∑i=1 to 2n (i-1)².
Step-by-step explanation:
The expression ∑i=1 to 2n (i-1)² represents the sum of (i-1)² for values of i ranging from 1 to 2n. We can simplify and rewrite this expression using properties of summation:
∑i=1 to 2n (i-1)² = ∑i=1 to 2n (i² - 2i + 1)
= ∑i=1 to 2n i² - ∑i=1 to 2n 2i + ∑i=1 to 2n 1
Now let's evaluate each term separately:
∑i=1 to 2n i²:
This represents the sum of the squares of i for values of i ranging from 1 to 2n. This can be expressed as the formula for the sum of squares:
∑i=1 to 2n i² = (2n)(2n + 1)(4n + 1)/6
∑i=1 to 2n 2i:
This represents the sum of 2i for values of i ranging from 1 to 2n. We can factor out the 2 and use the formula for the sum of the first n positive integers:
∑i=1 to 2n 2i = 2(2n)(2n + 1)/2 = 2n(2n + 1)
∑i=1 to 2n 1:
This represents the sum of 1 for values of i ranging from 1 to 2n. Since we are summing 1 a total of 2n times, this is simply 2n.
Putting it all together, we have:
∑i=1 to 2n (i-1)² = ∑i=1 to 2n i² - ∑i=1 to 2n 2i + ∑i=1 to 2n 1
= (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n
= (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n
know more about summation: brainly.com/question/29334900
#SPJ11
a=4,n=8,7=2,x=10
do anybody know
what the answer
is;l
Answer: The answer to this question would either be 8 or it would be 7.
Francis earned a weekly salary of $475 plus a 5.5% commission on sales how much would he earn in a week if he saw $700 in goods
Answer:
if $700 is sales then answer would be $513.50
Step-by-step explanation:
5.5% of 700 = 38.5
475+38.5=513.50
ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Answer:
the slope would be -3 because it takes the place of the m in y=mx+b
Step-by-step explanation:
( 8 2/4 + 2 1/6) - 5 2/12
Answer:
5 1/2 or 5.5
Step-by-step explanation:
=8 1/2+2 1/6-5 2/12
=17/2+ 2 1/6-5 2/12
=17/2+13/6-5 2/12
=32/3- 5 2/12
=32/3-31/6
=11/2
=5 1/2
Which statement is NOT true? *
A. Every integer is a real number.
B Every counting number is an integer
C Every integer is a rational number
D Every decimal number is an irrational number.
Answer:
D. Every decimal number is an irrational number.
Step-by-step explanation:
As long as a decimal repeats or terminates, it is a rational number.
A fraction is written as
a
b
where a and b are integers.
9
The fraction is greater than
3
4
• The fraction is less than 100%
The fraction is a multiple of 0.3
Write down the fraction a/b
Answer:
Step-by-step explanation:0.3
the diagram below shows a square-based pyramid
The solution is, 52 ft is the perimeter of the base of the pyramid.
Here, we have,
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
Area = side * side
Let the side be equal to ft.
Putting the given values in the formula:
169 = a^2
so, a = 13 ft
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 Side
Perimeter = 4 * 13 = 52ft
The solution is, 52 ft is the perimeter of the base of the pyramid.
Learn more about perimeter here:
brainly.com/question/397857
#SPJ1
complete question:
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
please help will give brainliest
Answer:
A IS THE ANSWER
Step-by-step explanation:
Suppose we sampled the commute times of students enrolled in CHE 4372/5372 this semester. Write expressions for H0 and H1 that would be appropriate for testing the following hypotheses. (a) (10 points) The standard deviation commute time is approximately 10 minutes (b) (10 points) On average, male students spend 3 more minutes commuting than female students.
H0: The standard deviation of commute times is equal to 10 minutes.
H1: The standard deviation of commute times is not equal to 10 minutes ,
H0: μ_male - μ_female = 0 (where μ represents the mean commute time for male and female students, respectively)
H1: μ_male - μ_female = 3. are theexpressions for H0 and H1 that would be appropriate for testing the following hypotheses.
(a) For testing the hypothesis that the standard deviation commute time is approximately 10 minutes, the null and alternative hypotheses can be written as follows:
H0: The standard deviation of commute times is equal to 10 minutes.
H1: The standard deviation of commute times is not equal to 10 minutes.
(b) For testing the hypothesis that male students spend, on average, 3 more minutes commuting than female students, the null and alternative hypotheses can be written as follows:
H0: The mean commute time for male and female students is equal.
H1: The mean commute time for male students is 3 minutes more than that of female students.
Alternatively, we can write the hypotheses as follows:
H0: μ_male - μ_female = 0 (where μ represents the mean commute time for male and female students, respectively)
H1: μ_male - μ_female = 3.
To know more about mean commute click here:
brainly.com/question/16301712
#SPJ4
14. Jerry charges a fee of $45 plus $15 per hour to rent a motorbike. Write an equation to
calculate rental cost and tell what x and y mean. If you have $120 to spend, how long can you rent
for?
Answer:
5 hours, y= how much money it will cost, and x represents how many hours
Step-by-step explanation:
y= 15x+45
120= 15x+45
-45 -45
75= 15x
75/15×= 5 hours
Let y=2 for each equation. Find the value of x.
3x-2y=1
Answer: x = 1.6667
Step-by-step explanation:
3x - 2(2) = 1
3x - 4 = 1
3x = 1 + 4
3x = 5
x = 5/3
x = 1.6667
Pls help me urgent pls
Answer:
You can use distance formula,
i. e. underroot (x sub2 - x sub1 )^ 2 - (y sub2 - y sub1 )
where u take first point as x sub1 and x sub2
and,
take second point as y sub1 and y sub2
where,
sub = subscript
Try for urselves and let me know
Hope it helps
Hope it helps ALL THE BEST !!
Fast Food At a local fast food restaurant 70% of customers buy a burger, 55% buy fries, and 45% buy both.
What is the probability that a customer at the restaurant buys a burger or fries? What is the probability that a customer at the restaurant buysa burger but does not buy fries? 25
To calculate the probability that a customer at the restaurant buys a burger or fries, we can add the probabilities of buying a burger and buying fries, and then subtract the probability of buying both (to avoid double-counting):
P(burger or fries) = P(burger) + P(fries) - P(burger and fries)
P(burger or fries) = 70% + 55% - 45%
P(burger or fries) = 70% + 55% - 45% = 80%
Therefore, the probability that a customer at the restaurant buys a burger or fries is 80%.
To calculate the probability that a customer at the restaurant buys a burger but does not buy fries, we can subtract the probability of buying both from the probability of buying a burger:
P(burger but not fries) = P(burger) - P(burger and fries)
P(burger but not fries) = 70% - 45%
P(burger but not fries) = 25%
Therefore, the probability that a customer at the restaurant buys a burger but does not buy fries is 25%.
Learn more about probability that a customer at the restaurant from
https://brainly.com/question/31372648
#SPJ11
One side of the aquarium's base is 3/4 yard long the other is 5/7 of a yard long. What is the perimeter of the base of the aquarium?
The perimeter of the base of the aquarium is 123/28 ft = 4.39 yards (approx)Therefore, the perimeter of the base of the aquarium is 4.39 yards (approx).
Given that one side of the aquarium's base is 3/4 yard long and the other side is 5/7 of a yard long. We are to determine the perimeter of the base of the aquarium.Solution:The perimeter of the base of the aquarium is defined as the sum of all its sides.Let the two sides be x and y.Length of one side
= 3/4 yard Length of another side
= 5/7 yard
We know that 1 yard
= 3 feet
So, one side of the base of the aquarium is
(3/4) × 3
= (9/4)
feet and the other side of the base of the aquarium is
(5/7) × 3
= (15/7) feet
Therefore, the perimeter of the base of the aquarium will be:
x + y
= (9/4) + (15/7) ft
To add fractions, we need to find their
LCM.LCM (4,7)
= 28.
Therefore, we can rewrite the above equation as:
(7x + 4y)/28
= (63 + 60)/28
= 123/28 ft.
The perimeter of the base of the aquarium is
123/28 ft
= 4.39 yards (approx)
Therefore, the perimeter of the base of the aquarium is 4.39 yards (approx).
To know more about aquarium visit:
https://brainly.com/question/27245440
#SPJ11
what value of x makes 1/2 (3x+ 4) = 1/2 x true
The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2
We have to simplify the given expression to find the value of x
1/2(3x + 4) = 1/2x
Cancel 1/2 from both sides
⇒ 3x + 4 = x
⇒ 2x = -4
⇒ x = -2
Hence, the value of x is -2 which makes the given expression true.
Learn more about value here
https://brainly.com/question/4806080
#SPJ1
im my grade is a 85.85 and i get a 66% and it has a 15%grade weighth what is my final grade
10 pts hurry
Answer:
your new grade is 88%
follow me also
Study the information provided below and answer the questions that follow. The aggregate demand for a South African lawnmower brand across the outlets of a popular retailer was 3 200 units per quarter during the 2020 financial year. The retailer incurred a fixed cost of R150 per order and annual holding costs per lawnmower of R5. In general, the lawnmowers are delivered to the retailer 3 days after orders are placed. Assume a 300working day for the 2020 financial year. REQUIRED: Using the information provided above, answer the following questions: 4.1 Determine the economic order quantity of the lawnmowers for the 2020 financial year. (5 marks) Calculate the number of orders placed for the lawnmower by the retailer during the 2020 financial (3 marks) year. (4 marks) Calculate the re-order point (in units) of the lawnmower at the retailer during the 2020 financial year. 4.2 4.3 4.4 4.5 Calculate the total holding costs of the lawnmowers by the retailers during the 2020 financial year. (4 marks) Calculate the total ordering costs of the lawnmowers by the Game store during the 2020 financial (4 marks) year.
The Economic Order Quantity (EOQ) is calculated to be 547.72 units. The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.
The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00. These calculations provide valuable insights for efficient inventory management.
The Economic Order Quantity (EOQ) can be calculated by using the formula: EOQ = √2DS / H,
where D = Total Demand = 3200 units,
S = Ordering cost per order = R150,
and H = Annual holding cost per unit = R5.
Therefore, EOQ = √ (2 x 3200 x 150) / 5 = 547.72 units.
4.2 Number of orders placed per year: No of orders per year = D / Q,
where D = Total Demand = 3200 units and Q = EOQ = 547.72 units.
Therefore, No of orders per year = D / Q = 3200 / 547.72 = 5.84 orders.
4.4 Total holding cost of lawnmowers:
Total holding cost of lawnmowers = (Average inventory level) x (Annual holding cost per unit),
where (Average inventory level) = EOQ / 2 = 547.72 / 2 = 273.86 units and Annual holding cost per unit = R5.
Thus, the Total holding cost of lawnmowers = 273.86 x R5 = R1369.30.
4.1 Reorder Point (ROP): ROP can be calculated by using the formula:
ROP = dL, where d = Daily demand = D / Number of working days
= 3200 / 300 = 10.67 and L = Lead time = 3 days.
Hence, ROP = dL = 10.67 x 3 = 32.01.
4.5 Total ordering cost of lawnmowers:
Total ordering cost of lawnmowers = (Number of orders placed per year) x (Ordering cost per order),
where (Number of orders placed per year) = 5.84 orders and Ordering cost per order = R150.
Therefore, the Total ordering cost of lawnmowers = 5.84 x R150 = R876.00.
The Economic Order Quantity (EOQ) is calculated to be 547.72 units.
The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.
The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00.
These calculations provide valuable insights for efficient inventory management.
To know more about Economic Order Quantity, visits:
https://brainly.com/question/31694034
#SPJ11
Just need to know the perimeter and the area
Answer:
Perimeter = 68 m
Area = 273 m^2
Step-by-step explanation:
Perimeter = s + s + s + s
= 13 + 13 + 16 + 26
= 68 m
To find perimeter add all sides of the shape.
Area = 1/2 × ( 16 + 26 ) × 13
= 0.5 × 42 × 13
=273 m^2
HOPE THIS HELPED
Round 2.763 to the hundredths place (2nd decimal place).
Answer:
2.76
Step-by-step explanation:
Answer: 2.760
Step-by-step explanation:
3 is rounded to 0 so 2.763 rounded to the hundredths place equals 2.760
Determine the equation of the line shown in graph:
Option A is correct answer, X = 3
Amy bakes x cakes.
Barry bakes four times as many cakes as Amy.
Ceri bakes 12 more cakes than Amy.
They bake a total of T cakes.
Find a formula, in terms of x, for the total number of cakes.
Give your formula in its simplest form
Answer:
6x+12=T
Step-by-step explanation:
Amy bakes x cakes.
Barry bakes 4x.
Ceri bakes x+12
So the total is 6x+12=T
A picture frame is 112 inches wider than the picture
it holds. Let f represent the width of the frame. Let p represent the width of the picture. Complete the table.
Answer: (1,2.5), (2, 3.5), (3, 4.5)
Step-by-step explanation: The question states that the frame is one and a half inches wider than the picture, so the equation would be f = p+ 1.5. Add 1.5 to each value of p to find the value of f
Which of the following is equivalent to 7^-2?
Answer:
C
Step-by-step explanation:
Answer:
C. \(\frac{1}{49}\)
Step-by-step explanation:
When one puts a number to a negative exponent, such as;
\(a^{-b}\)
One is essentially doing;
\(\frac{1}{a^{b}}\)
Applying that knowledge;
\(7^{-2} \\= \frac{1}{7^{2}}\\= \frac{1}{49}\)
the measure of one angle of a right triangle is 34 degrees more than the measure of the smallest angle. Find the measure of all three angles.
A right triangle is a triangle which has one of it's angles equal to 90 degrees. The sum of all the internal angles for a triangle have to be equal to 180 degrees. The smalles ange will be called "x", therefore the sum of the internal angles of this triangle are:
\(\begin{gathered} x+(x+34)+90=180 \\ 2x+34+90=180 \\ 2x+124=180 \\ 2x=180-124 \\ 2x=56 \\ x=28 \end{gathered}\)The smallest is 28 degrees. The second one is:
\(\text{ang}2=x+34=28+34=62\)The second is equal to 62 degrees and the third is equal to 90 degrees.
……………………………………………………………………………
Answer:
ITS 64 degrees
Step-by-step explanation:
Answer:
116
Step-by-step explanation:
hope this helps:)..........
Jared and Mike are racing
to meet at the park which
is 4 miles away from their
house. Jared runs at a rate
of 1 mile every 10 minutes
and Mike runs at a rate of
0.5 miles every 4 minutes.
Who will get there first?