The hourly rate for a lecturer is £17.50. She works 35 hours a week and 8 hours overtime at time-and-a-half. What is her total pay for the week?
A cube shaped block of ice has a mass of 59 kg. The density of ice is 917 kg per cubic meter. The mass of an object is the product of its density and its volume. Write a cubic function to model the mass of a block of ice in terms of its edge length x (in meters).
Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Using the function, the edge length of the block of ice is of 0.4 m.
What is the formula for the density of an object?The density of an object is given by the mass of the object divided by it's volume, as follows:
d = m/v.
Hence the mass of the object is given by the following equation:
m = dv.
For this problem, we have that:
The density of ice is 917 kg per cubic meter, hence d = 917.The block of ice has a cubic format, meaning that v = x³, in which x is the edge length.Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Considering the mass of the block of ice, the length is found as follows:
59 = 917x³
x = cubic root(59/917) -> (59/917)^(1/3) in any calculator
x = 0.4 m.
Using the function, the edge length of the block of ice is of 0.4 m.
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Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341SOLVE THIS AND EXPLAIN STEP BY STEP PLEASE!!!!
Answer:0=0
Step-by-step explanation:2(4x + 3) = 17x+3-9x +3 1st we will distribute. 2 times 4x gives you 8x and 2 times 3 gives you 6. Now the equation is 8x + 6 = 17x+3-9x+3.Now we're gonna add 3 + 3 gives you 6. Now the equation is 8x +6 = 17x+6-9x Now we're gonna combine like terms. So now we'll put together 17x - 9x which give you 8x. Now the equation is 8x +6 = 8x +6. Now where gonna subtract 6 from both sides. 8x = 8x and if I simplify it we'll get 0=0 which is the final answer
What is the place value of the 1 in the number 6.213
Answer:
The hundredths place
Expanation
6 is in the one's place
2 is in the theth's place
1 is in the hundredth's place
3 is in the thousandth's place
I have more questions to due after this
Answer:
a reflection over the line y=-x
Step-by-step explanation:
Check all solutions to the equation. If there are no solutions, check "None."
x = 16
Someone please help!!
Answer:
Its E
Step-by-step explanation:
What is 32008 rounded to the nearest highest place value
Solve the for variable
c+7=13
c = ?
Answer:
c=6
Step-by-step explanation:
c+7=13
-7 -7
c=13-7
c=6
Find the indicated values by using the graph.
1. h(2)=_____
2. h(4)=_____
3. h(1)=_____
4. h(5)=_____
5. h(____)=4
6. h(____)=1
7. What are the values for h(____)=2?
Q: What is the product of (a-5) and (a+3)?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for a :
[tex](a - 5) \times (a + 3)[/tex][tex](a \times a) + (a \times 3) + ( - 5 \times a) + ( - 5 \times 3)[/tex][tex] {a}^{2} + 3a - 5a - 15[/tex]Steffan cycled 10km in 45 minutes. He rested for
20 minutes then cycled a further 8 km in 40 minutes.
Work out his average speed for the whole journey.M
Give your answer correct to one decimal place.
Math
Answer: If you measure out a 10k course and then time how long it takes you to ride it, that will tell you which speed range to use and what time to input. If you weigh 185 pounds and fall into the 12 to 13 mph range, it will take you about 30 minutes to pedal 10k — which means that according to the ACE estimates, you will burn about 335 calories.
Step-by-step explanation:
Hope this helps!
Answer:
0.2km/min or 12.7km/hour
Step-by-step explanation:
speed = distance ÷ time
speed = (10km + 8km) ÷ (45 mins + 40 mins)
= 18 ÷ 85
= 0.21176...km/min ≈ 0.2km/min
To convert 0.21176...km/min into km/hr, you multiply by 60
0.21176...km/min × 60 = 12.70588...km/hr ≈ 12.7km/hr
The function g(x) is a transformation of the cube root parent function, f(x) = 3vx
What function is g(x)?
Answer:
C. g(x)=3√x+4+3
Step-by-step explanation:
g(x) shift left 4, shift up 3, with no compression or stretch.
a=1
h=-4
k=3
The function f(x) after the transformation can be written as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that function g(x) is a transformation of the cube root parent function f(x) = [tex]$\sqrt[3]{x}[/tex].
The function f(x) is shifted up by three units and left by 4 units. So, we can write the rule for the function transformation as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
Therefore, the function f(x) after the transformation can be written as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
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in a set of 5 numbers the average of two is 12 the average of the other 3 is 7 what is the average of all five numbers. (fraction or whole number)
Answer:
The average of all 5 numbers is 9
Step-by-step explanation:
Two of the numbers average 12. That means that their total is 2*12 = 24
Three of the other numbers average 7. That means that their total is 7*3 = 21
The total score for the 5 numbers is 24 + 21 = 45
The average for all 5 numbers is 45/5 = 9
Compare the decimal numbers 0.218 and 0.128.
0.128 = 0.218
0.218 < 0.128
0.128 > 0.218
0.218 > 0.128
Easy Help 5th grade math will mark as brainlist
Answer
0.128>0.218 ,0.218>0.128, 0.128<0.218, 0.218>0.128
Step-by-step explanation:
0.218 is bigger because its 0.218 is a bigger number than 0.128Keisha and Jen went out to eat for dinner their meal together were $45.76 they want to leave a 20% tip how much total
Answer:
I'm only guessing its $25.76 but just to classify you should probably ask
A recipe called for the ratio of sugar to flour to be 10:3, if you used 70 ounces of sugar, how many ounces of flour would you need to use
Answer:
21 ounces of flour
Step-by-step explanation:
10/3 = 70/x
isolate the so that it is on the top, so multiply by x on the right and on the left
this gives you:
x*10/3=70
try to isolate x and multiply by 3 to get rid of the denominator
x*10=70*3
x*10= 210
finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it
x= 210/10
x=21
you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps
Answer:
You would need 21 ounces of flour
Step-by-step explanation:
sugar:flour
10:3
10x7=70
70:?
3x7=21
70:21
YO I NEED HELP
A forest owned by the Jumbo Lumber Corporation contains 4,498 trees. If Jumbo Lumber cuts down 57 trees every day, which function can be used to find the number of trees, n, left in the forest after t days?
A.
n(t) = (4,498-57)t
B.
n(t) = 4,498 + 57t
C.
n(t) = 4,498t - 57
D.
n(t) = 4,498 - 57t
Answer:
D
Step-by-step explanation:
Edmentum:))
A store is having a 20% off sale on coats. What will the sale price be for a coat that originally cost $248
b) Raj bought $3.63 worth of raisins.
What was the mass in grams? Give two
possible answers.
Answer:
how much is 1 gram of raisins worth in money
Step-by-step explanation:
Answer:
How much of 1 gram of raisin was worth in money
no link or bot please right
Step-by-step explanation:
Answer in the picture above
And at the side 2 laws are mentioned
8.4y - 6.8 = - 3.2y + 16.4
Answer:
y = 2
Step-by-step explanation:
In a distribution with a mean of 100 and a standard deviation of 15, the probability that a score
will be 115 or higher is _____ Please show all your work.
Using the Zscore principle, the probability of obtaining a score which will be 115 or higher is 0.15866
Given the Parameters :
Mean, μ = 100Standard deviation, σ = 15 Score, X ≥ 115Zscore = (X - μ) ÷ σ
Zscore = (115 - 100) ÷ 15
Zscore = 1
Using a normal distribution probability ;
P(Z ≥ 1) = 1 - P(Z ≤ 1)
P(Z ≥ 1) = 1 - 0.84134
P(Z ≥ 1) = 0.15866
Therefore, the probability is 0.15866
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Multiply 3hrs 30mins by 4
Answer:
14 hours
Step-by-step explanation:
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department and Finishing Department.
In Finishing Department, direct materials (DM) are added at the start of the process and conversion costs (CC) are added evenly during the process. Company is using Weighted Average method for the Finishing Department.
During July, beginning work in process in the Finishing Department was 80% complete as to conversion. Beginning inventories included $30,800 for transferred-in costs, $13,200 for direct materials, and $27,500 for conversion costs. Ending inventory was 30% complete as to CC. Additional information about the Finishing Department follows:
Finishing
Beginning work-in-process units
26,400
Units transferred in this period
74,800
Units completed & transferred out
79,200
Ending work-in-process units
22,000
Material costs added
$37,400
Conversion costs
$75,460
Transferred-in costs
$141,240
What is equivalent units for transferred-in cost, direct materials, and conversion cost, respectively? Separate with slash /.
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department and Finishing Department.
In Finishing Department, direct materials (DM) are added at the start of the process and conversion costs (CC) are added evenly during the process. Company is using Weighted Average method for the Finishing Department.
During July, beginning work in process in the Finishing Department was 80% complete as to conversion. Beginning inventories included $30,800 for transferred-in costs, $13,200 for direct materials, and $27,500 for conversion costs. Ending inventory was 30% complete as to CC. Additional information about the Finishing Department follows:
Finishing
Beginning work-in-process units
26,400
Units transferred in this period
74,800
Units completed & transferred out
79,200
Ending work-in-process units
22,000
Material costs added
$37,400
Conversion costs
$75,460
Transferred-in costs
$141,240
What is equivalent units for transferred-in cost, direct materials, and conversion cost, respectively? Separate with slash /.
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department and Finishing Department.
In Finishing Department, direct materials (DM) are added at the start of the process and conversion costs (CC) are added evenly during the process. Company is using Weighted Average method for the Finishing Department.
During July, beginning work in process in the Finishing Department was 80% complete as to conversion. Beginning inventories included $30,800 for transferred-in costs, $13,200 for direct materials, and $27,500 for conversion costs. Ending inventory was 30% complete as to CC. Additional information about the Finishing Department follows:
Finishing
Beginning work-in-process units
26,400
Units transferred in this period
74,800
Units completed & transferred out
79,200
Ending work-in-process units
22,000
Material costs added
$37,400
Conversion costs
$75,460
Transferred-in costs
$141,240
What is equivalent units for transferred-in cost, direct materials, and conversion cost, respectively? Separate with slash /.
Moon Company produces baseball bats and cricket paddles. It has two departments that process all products – Cutting Department and Finishing Department.
In Finishing Department, direct materials (DM) are added at the start of the process and conversion costs (CC) are added evenly during the process. Company is using Weighted Average method for the Finishing Department.
During July, beginning work in process in the Finishing Department was 80% complete as to conversion. Beginning inventories included $30,800 for transferred-in costs, $13,200 for direct materials, and $27,500 for conversion costs. Ending inventory was 30% complete as to CC. Additional information about the Finishing Department follows:
Finishing
Beginning work-in-process units
26,400
Units transferred in this period
74,800
Units completed & transferred out
79,200
Ending work-in-process units
22,000
Material costs added
$37,400
Conversion costs
$75,460
Transferred-in costs
$141,240
What is equivalent units for transferred-in cost, direct materials, and conversion cost, respectively? Separate with slash /.
The Moon Company's equivalents units for transferred-in cost, direct materials, and conversion cost are 74,800 / 101,200 / 86,800 respectively.
Data and Calculations:
Percentage of completion:
Beginning work in process = 80%
Ending work in process = 30%
Beginning inventories:
Transferred-in costs = $30,800
Direct materials costs = $13,200
Conversion costs = $27,500
Physical Flows of Units:
Beginning WIP = 26,400
Units transferred in from Cutting Department = 74,800
Total production units available = 101,200 (26,400 + 74,800)
Units completed and transferred out = 79,200
Ending WIP = 22,000
Transferred-in Direct Materials Conversion
Units transferred out 79,200 79,200
(79,200 x 100%)
Units transferred-in 74,800 0 0
(74,800 x 100%)
Ending WIP 0 22,000 (100%) 6,600 (22,000 x 30%)
Total equivalent units 74,800 101,200 86,800
Thus, the equivalent units for the Finishing Department are determined based on the percentage of completion under the Weighted Average Method.
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Which raito is less than 7/15?
A. 9/15
B. 2/5
C. 3/5
D. 24/45
Answer:
⅖
Step-by-step explanation:
Simply convert them to decimals...
7/15=0.466666...
9/15=0.6
⅖=0.4
⅗=0.6
24/45=0.53333...
Hope this helps.
Can yall please help me with this I am helping my brother I just need the answers lol.
Answer:
hope it helps
Step-by-step explanation:
4. 1/3
5. 1/3
6. 3/4
7. 1/4
8. 1/2
9. 3/7
10. 2/7
11. 3/5
12. 2/3
To solve the following equation for k using the quadratic formula, what value would you substitute for b?
3k2 = 4k + 7
For this case we have a quadratic equation of the form:
ax² + bx + c = 0
Rewriting the equation we have:
3k² -4k - 7 = 0
So we have to:
a = 3
b = -4
c = -7
The solutions will come from:
k = -b±√b²-4(a)(c)/2(a)
Thus, the value of "b" is -4
Answer:
b = -4
Answer: -4
Step-by-step explanation:
i took the quiz its -4
Factor.
3x(y−4)−2(y−4)
Enter your answer in the box.
Answer: Use the distributive property to multiply 3 by y−4.
3y−12−2(y−4)
Use the distributive property to multiply −2 by y−4.
3y−12−2y+8
Combine 3y and −2y to get y.
y−12+8
Add −12 and 8 to get −4.
Anwser:
y−4
Step-by-step explanation:
Hope this helps!
Pls answer the question in the photo
Answer:
correct answer to the problem is x= -9
Joe answered correctly.
Answer: nick
Step-by-step explanation: subtract 6 from both sides to get 0 on one side and then divide both sides by 2 to get x on its own