The amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.
What is of volume of cylinder?Volume of cylinder is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of cylinder can be given as,
[tex]V=\dfrac{\pi r^2h}{4}[/tex]
Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.
A water sample shows 0.073 grams of some trace element for every cubic centimeter of water. The proportion of element with water is,
[tex]p=\dfrac{0.073}{1}[/tex]
Anthony uses a container in the shape of a right cylinder with a diameter of 11.4 cm and a height of 16.5 cm to collect a second sample, filling the container all the way.
The total volume of the container is,
[tex]V=\dfrac{\pi (11.4)^2\times16.5}{4}\\V\approx1684 \rm\; cm^3[/tex]
The sample contains the same proportion of the trace element. Let the trace element has Anthony collected is x. Thus,
[tex]\dfrac{x}{1684-x}=\dfrac{0.073}{1}\\x=122.932-0.073x\\x+0.073x=122.932\\x=\dfrac{122.932}{1.073}\\x\approx114.6\rm\; gram[/tex]
Thus, the amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.
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Every time Carrie bakes a batch of brownies, she uses 18
cup of chocolate. If she has 12
cup(s) of chocolate remaining, how many batches of brownies can Carrie make?
Two prisms are similar and their ratio of similarity is 3:8.
Find the area of a base of the smaller prism if the area of a base of the larger prism is 23 square units.
Round to the nearest hundredth.
Answer:
8.63 square units
Step-by-step explanation:
you must set up a proportion.
3 x
- = -
8 23
after you set up that proportion, cross multiply to find x.
8x = 69
divide by 8
x = 8.625, rounded to 8.63
Additional electronic devices that extend the revenue control abilities of POS systems are _____ and power platforms. touchscreens keyboards minicams magnetic strip readers
Answer:
touchscreens
Step-by-step explanation:
You need this to interact with POS
In (circle)A, m∠BAD = 110. Find mDE.
Answer:
Line BE = 180 degrees
Therefore, angle BAD + angle DAE = 180 degrees
Angle DAE = 180 -110 = 70 degrees
Step-by-step explanation:
What 6x squared divided by x is
Answer:
[tex]6x[/tex]
Step-by-step explanation:
Hey there!
In order to solve this problem, you need to first simplify the equation by splitting [tex]6x^2[/tex]
After splitting:
[tex]\frac{6*x*x}{x}[/tex]
Now, we can cross out two of the x values
[tex]\frac{6*x}{1}[/tex]
This is also seen as
[tex]6*x[/tex]
Which simplified is our answer
So the fraction [tex]\frac{6x^2}{x}[/tex] can be re-written or solved as, [tex]6x[/tex]
Answer:
[tex]\frac{6x^{2}}{x} =6x[/tex]
Step-by-step explanation:
[tex]x\neq 0\\\\\frac{6x^{2}}{x} =\frac{6\times x\times x}{x} =6x \ \ \ \ (x \ can \ be \ cancelled \ out)[/tex]
Example :
[tex]\frac{6\times 3^{2}}{3} =\frac{6\times 9}{3} =\frac{54}{3} =18[/tex]
[tex]\frac{6\times 3^{2}}{3} =\frac{6\times 3\times 3}{3} =6\times3=18[/tex]
How can I rename 1/4 and 5/8 in the least common denominator
Answer:
2/8 and 5/8
Step-by-step explanation:
4=2×2
8=2×2×2
LCM=2×2×2=8
1/4 × 2/2 = 2/8
Use the distributive property to find the missing term in the equivalent expression.
(A) 6 Ã
Ã
(813
1
3
) = 48 +
(B) -5 Ã
Ã
(325
2
5
) = -2
(C) 9 Ã
Ã
(259
5
9
) = 18 +
(D) 12 Ã
Ã
(-114
1
4
) = -3
Answerbla bla bla
Step-by-step explanation:
Mr. Pearson drives a bus for the city of Greenwood. Last month, he kept track of the number of bus riders each day.
Bus riders
50
60
70
80
90
100
What was the least number of bus riders?
For all numbers x, if 3(x + 2) = 72 – 3, then x = ?
Answer:
A.
Step-by-step explanation:
Manuel works mowing lawns and babysitting. He earns $8.40 an hour for mowing and $7.60 an hour for babysitting. How much will he earn for 1 hour of mowing and 5 hours of babysitting?
Answer:
$14.10
Step-by-step explanation:
Answer:
$14.10
Step-by-step explanation:
When Victoria moved into a new house, she planted two trees in her backyard. At the
time of planting, Tree A was 32 inches tall and Tree B was 12 inches tall. Each year
thereafter, Tree A grew by 2 inches per year and Tree B grew by 6 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree Bt years after being planted. Graph each function and determine the
interval of time, t, when Tree A is taller than Tree B.
Click twice to plot each line. Click a line to delete it.
Answer:
Answer:A=6t+29
B=3t+35
Same height in 4 years
Step-by-step explanation:
Which expression matches the verbal description below?
three subtracted from the quotient of thirty and six
O A.30 - (3:6)
O B.30 : 6-3
O C. (30-3)-4
O D.30: (6-3)
Answer:
Quotient = division of one number by another
[tex]\implies \textsf{quotient of 30 and 6} = \sf \dfrac{30}{6}[/tex]
[tex]\implies \textsf{3 subtracted from } \sf \dfrac{30}{6}=\dfrac{30}{6}-3[/tex]
The quotient of 30 and 6 can also be written as the ratio 30 : 6
Therefore, the solution is (30:6) - 3
Let's see
Quotient means division
30/6Three subtracted means
30/6-3Convert to ratio
30:6-3Option B
A truck travels 350 miles on 25 gallons of gas. how far can it travel with 60 gallons of gas?
Answer:
840
Step-by-step explanation:
because he can drive 14 with one gallon of gas so 14x 60
Slove for m
7m=3+4m
A.m=3/11
B.m=-7
C.m=-5/4
D.m=1
Answer:
The value of m. = 1
Step-by-step explanation:
=> 7m=3+4m
=> 7m -4m = 3
=> 3m = 3
=> m = 3/3
=> m = 1
13 less than the product of 4 and a number, n, is 5
The value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The statement given in the problem is "13 less than the product of 4 and a number, n, is 5".
Here, the 13 less than the product of n and 4 (n×4-13) is equal to the number 5. In the equation form,
[tex]4\times n-13=5[/tex]
Add number 13 both side and simplify it further,
[tex]4\times n-13+13=5+13\\4n=18\\n=\dfrac{18}{4}\\n=4.5[/tex]
Thus, the value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
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Which state are the Puget Sound and the San Juan Islands found in?
Hawaii
Oregon
Washington
California
Puget Sound and the San Juan Islands are wonderful to explore. You can ride ferries to the different islands, take bicycle and kayak trips, and see many eagles and orcas.
There are several national parks in Washington, such as the North Cascades and Olympic National Park. Numerous Native American tribes still live in Washington, including the Skagit, Snohomish, Yakama, and Tlingit tribes.
Answer:
washington
Step-by-step explanation:
I am on it right now and I looked at the lesson again and it says
Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?
The solution for the quadratic equation, c(x) = [tex]2x^{2} -192x+54[/tex] is +48.
Bob must repair 48 watches to have the lowest cost.
What is axis of symmetry?
The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.
We have, c(x) = [tex]2x^{2} -192x+54[/tex]
As we know the axis of symmetry, using the formula:
x = [tex]\frac{-b}{2a}[/tex]
In the above equation a = 2; b = -192
x = [tex]\frac{-(-192)}{2 * 2}[/tex]
x= [tex]\frac{192}{4}[/tex]
x = +48
Hence, the number of watches for lowest cost bob must sold is 48 watches.
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Sullivan had to show 5 of his
coworkers how it's done. His boss
wanted him to roar! Of the 5
coworkers, 40 percent were clapping.
How many coworkers were clapping
Answer:
2 workers
Step-by-step explanation:
If you want to find 40 percent of 5, just mutiply 40% which = to .4 and 5
Please help me with this , I will give 30 POINTS !.
======================================================
Explanation:
Through trial and error, we can set up these equations
4^5 = 10242^10 = 102432^2 = 1024This shows that choices A, C and D are eliminated. This is because 5, 10 and 32 all can work as either x or y in x^y = 1024, and that the other value is some other integer.
On the other hand, x = 16 doesn't work and neither does y = 16 if we wanted the other value to be an integer.
Solving x^16 = 1024 leads to approximately x = 1.5422 when we focus on the positive real number solution. This isn't an integer, so x^16 = 1024 doens't have any integer solutions.
Solving 16^y = 1024 leads to a similar situation as described in the previous paragraph. It doesn't have any integer solutions either (instead the value is y = 2.5)
So we have a few ways of arriving at why choice B is the final answer.
22. Peter makes $10.00 per hour as a server. The
restaurant also gives him 15% of his wages as a bonus
For good service. He makes for good service he works 40 hours this week .what are his total earnings for the week
A) $46:00
B)460.00
C) $600.00
D)60.00
Answer:
B) $460.00
Step-by-step explanation: I've got big brain
which statement about the mean absolute deviation (MAD) of a data set is not true
Answer:
C
Step-by-step explanation:
MAD measures precision (meaning how close the data points are to each other)
mark brainliest please!
JO. Jeff buys 3 boxes of cereal for $2. 99 each a gallon of
mik for $4. 98 and 4 bananas for $0. 50 each. If has a 20% off his
Total bill coupon and he pays with a $20. 00 bil, how much change
will he get back?
Answer:
people got rock to sell the house and I'm going to fly to the land of the block trained me like a dojo now I'm better than yb and I will be there in about it dirk can you ask mom to get
440 customers at an ice cream shop took a survey and rated it "very satisfactory". This represented 22% of the total number. How many total customers took the survey?
Answer:
2000
Step-by-step explanation:
440 customers are 22% of total meaning there is 78% left.
440*100=44,000 44,000/22=2,000
Find an exponential function of the form y = ab* that passes through the points (0,4)
and (2, 100).
Oy=5-4x
Oy=4.5*
Oy-4-2*+84
Oy-25-2x
Answer:
2nd option
Step-by-step explanation:
given an exponential function in the form y = a[tex]b^{x}[/tex]
to find a and b use the coordinate points it passes through
using (0, 4 ) , then
4 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , that is
a = 4 , so
y = 4[tex]b^{x}[/tex]
using (2, 100 )
100 = 4b² ( divide both sides by 4 )
25 = b² ( take the square root of both sides )
[tex]\sqrt{25}[/tex] = b , that is
b = 5
then exponential function is
y = 4 . [tex]5^{x}[/tex]
Mathieu is finding the x-intercepts of the function f(x) = x2 4x 3. his work is shown below. 0 = x2 4x 3 0 = (x 3)(x 1) x 3 = x 1 x = x – 2 0 = –2 there are no x-intercepts. which error did mathieu make? he factored incorrectly. he did not use the constant as the x-intercept. he set the factored expressions equal to each other. he incorrectly solved the equation x 3 = x 1.
He set the factored expressions equal to each other. instead of setting them equal to zero
What are quadratic equations?The name Quadratic comes from "quad" meaning square because the variable gets squared (like x2). It is also called an "Equation of Degree 2
The given solution of the quadratic equation in the question is
[tex]f(x) = x^2 + 4x + 3.[/tex]
His work is shown below.
[tex]0 = x^2 + 4x + 3[/tex]
[tex]0 = (x + 3)(x + 1)[/tex]
Here is where we use the zero product property
x+3 = 0 x+1 =0 We do not set them equal to each other
Hence He set the factored expressions equal to each other. instead of setting them equal to zero
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Answer:
The Answer is c
Step-by-step explanation:
Did it on edge
Item 7
Which of the following has a slope of –2 and a y-intercept of 4?
y = –2x – 4
y = 2x + 4
y = 2x – 4
y = –2x + 4
Can I have help on this?
Answer:
—4.5 and 0
Step-by-step explanation:
when x=—4.5 and x=0 y is included in the domain.
Math test results are shown in the box plot above. What percent of the students scored below 70%??
What number is bigger 18.84 or 28.8
Answer:
In terms of decimal places, 18.84 is bigger because of the hundredths place(4). In terms of whole numbers, 28.8 is bigger.
Answer: 28.8
Step-by-step explanation:
If you look at the first digit on the left in the number 28.8, which is 2, then you look at the first digit of 18.84, which is 1, you can see that 2 is larger than 1, so therefore 28.8 is larger.
put these into slope intercept form
x + 3y ≤ 8
x + y ≥ 2
Slope intercept form is y = mx + b
[a] x + 3y ≤ 8 becomes y ≤ -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
We subtract x from both sides of the equation.
Then we divide both sides of the equation by three.
x + 3y ≤ 8
3y ≤ -x + 8
y ≤ -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
[b] x + y ≥ 2 becomes y ≥ -x + 2
We subtract x from both sides of the equation.
x + y ≥ 2
y ≥ -x + 2