EXPERTS/ACE/GENIUSES HELP PLZ!!:)
( only #2 )
Explain as well!! Best answer will get brainlist... but make ur answer short and sweet plz.
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(a) Volume of 1st cup = (1/3)pi *(4/2)^2 * 8 = 32/3 pi in^3
scoops = (2000/3)pi / ( 32/3) pi = 2000/32 = 62.5 = 63
(b) Volume of 2nd cup = (1/3)pi *(8/2)^2 * 8 = 128/3 pi in^3
scoops = (2000/3)pi / ( 128/3) pi = 2000/128 = 15.625 = 16
Related Questions
How many triangles are in a dodecagon
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PLEASE HELP I WILL FAIL MATH I will give you brainest
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B- $8
You can do 32 x .25 or 32/4
kevin had 13 coins in his pocket. all of his coins are either dimes or quarters. when he emptied his pocket, kevin found that he had 2.05. how many dimes and quarters does he have?
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Answer:
Kevin has 5 quarters and 8 dimes.
Step-by-step explanation:
First of all, a quarter is worth 0.25 dollars, while a dime is worth 0.10 dollars. As Kevin has 13 coins in his pocket which in sum make $2.05, and all of them are either dimes or quarters, in order to determine how many dimes and quarters does he have, we have to take into account that he's got an odd number of quarters, since the final amount of money sums $2.05, that is, it ends in 5.
Therefore, if he had 1 quarter and 12 dimes (0.25 + 12x0.10 = 1.45), he would have $1.45.
If he had 3 quarters and 10 dimes (0.25x3 + 10x0.10 = 1.75), he would have $1.75.
If he had 5 quarters ahd 8 dimes (0.25x5 + 8x0.10 = 2.05), he would have $2.05, so this is the correct option.
6 identical toys 1.8kg. B) what is the weight of one toy? give your answer in grams. C) what is the weight of 4 toys? give your answer in kilograms.
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C=1.2Kg or 1200grams
Total weight of six identical toys = 1.8 Kg
Therefore, the weight of one such toy = 1.8 kg/ 6 = 0.3 kg
Further, 1 kg = 1000 gms
Answer to Ques B-
Weight of one toy in grams = 0.3 * 1000 grams
= 300 grams
Answer to Ques C-
Weight of 4 toys in kilograms = 0.3 * 4 kilograms
= 1.2 kilograms
Hope this helps..!!
Thank you :)
Japan accounts for about 5.4% of the world's petroleum consumption. Write this percent as a fraction.
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The answer is: " [tex] \frac{27}{500} [/tex] " .
________________________________________________________
5.4 % = 5.4 / 100 = 54/1000 = (54÷2) / (1000÷2) = " [tex] \frac{27}{500} [/tex] " .
OR:
5.4 % = 5.4 / 100 = 5.4 ÷ 100 = 0.054 = 54/1000 = (54÷2) / (1000÷2) =
" [tex] \frac{27}{500} [/tex] " .
________________________________________________________
"The correct fraction representing Japan's petroleum consumption as a percentage of the world's total is [tex]\(\frac{5.4}{100}\).[/tex]
To express the given percentage as a fraction, one must divide the percentage by 100, since percentages are parts per hundred. T
hus, 5.4% can be written as a fraction by placing 5.4 over 100, which gives us [tex]\(\frac{5.4}{100}\)[/tex].
Finally, this fraction can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 2 in this case, yielding the simplified fraction [tex]\(\frac{27}{500}\).[/tex]
When reduced to a fraction without a decimal, [tex]\(\frac{27}{500}\)."[/tex]
QUICKK EXPERTS/ACE/GENIUSES
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Find the general solution to y′′+7y′=0y′′+7y′=0. give your answer as y=..
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1. characteristic equation is:
a²+7a=0;
[tex] \left[\begin{array}{ccc}a=0\\ a=-7\end{array}\right[/tex]
2. y=C₁+C₂e⁻⁷ˣ.
Divide and simplify. 32x9y2 2xy-2
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Use the distributive property to simplify the expression. 8(3 + 4) = 24 +
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8(3 + 4) = 8 x 3 + 8 x 4 = 24 + 32
If we need to simplify further, this adds up to 56.
Calculate the resistance of a piece of aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F. Hint: Be sure to first convert mils to cmils and use the K value for aluminum found in the reference. (Round the FINAL answer to two decimal places.)
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Explanation:
The resistance of an aluminum wire is given by
[tex]R = \frac{\rho L}{A} [/tex]
where:
[tex]R = \text{ resistance of the wire} \\ \rho = \text{resistivity of the aluminum} = 2.65 \times 10^{-8} \text{ ohm-meters} \\ L = \text{length of the wire} = 2 \text{ miles} \\ A = \text{cross-sectional area of the wire} [/tex]
Since the resistivity is in ohm-meters, we need to convert the length to meters and the area to square meters. But we need to convert mils to cmils first to get the cross sectional area of the wire.
To convert mils to cmils, we get the square of the diameter of the circle in mils because 1 cmil (or circular mil) is the area of the circle whose diameter is 1 mil. So, since the diameter of the wire is 100 mils, the cross-sectional area of the wire in cmils is given by:
[tex]\text{Area in cmils = }d^2 = 100^2 = 10,000 = 10^4 \text{ cmils}[/tex]
Note that we convert the area in terms of scientific notation because the resistivity is expressed in scientific notation and it is easier to multiply very large and very small numbers if they are expressed in scientific notation.
Now, since [tex]1 \text{ cmil} = 5.067 \times 10^{-10} \text{ square meters}[/tex], the cross sectional area of the wire is equal to
[tex]10^4 \text{ cmils} = (10^4 \text{ cmils} )\left ( \frac{5.067 \times 10^{-10} \text{ square meters}}{1\text{ cmil}} \right ) [/tex]
[tex]10^4 \text{ cmils} = 5.067 \times 10^{-6} \text{ square meters}[/tex]
Since 1 mile = 1,609.344 meters, 2 miles = 2 × 1,609.344 meters = 3,218.688 meters = [tex]3.218688 \times 10^3 \text{ meters}[/tex]. .
Hence the resistance is given by
[tex]R = \frac{\rho L}{A} \\ R = \frac{(2.65 \times 10^{-8} \text{ ohm-meters}) (3.218688 \times 10^3 \text{ meters})}{5.067 \times 10^{-6} \text{ square meters}} \\ \boxed{R = 16.83 \text{ ohms}}[/tex]
This answer calculates the resistance of an aluminum wire of specific dimensions. It begins by determining the cross-sectional area of the wire, then uses a formula incorporating resistivity, length, and area to calculate resistance. The final resistance of the wire is approximately 0.037 Ohms.
Explanation:To calculate the resistance of a piece of aluminum wire, we first need to figure out the cross-sectional area of the wire. As given, the diameter of the wire is 100 mils. To convert mils to cmils (circular mils), we square the diameter, thus 100^2 = 10,000 cmils is the cross-sectional area.
Next, we use the formula for resistance: R = ρL/A, where R is the resistance, ρ (Rho) is the resistivity of the material (aluminum, in this case), L is the length in feet, and A is the cross-sectional area in circular mils (cmils).
We need to convert the length from miles to feet (1 mile = 5,280 feet), so 2 miles = 10,560 feet. The resistivity of aluminum at 68°F is approximately 10.75 nanoOhms*meter, to convert this to Ohms*foot we multiply by 3.281, so ρ becomes approximately 35.28 nΩ/ft.
The resistance R can then be calculated as follows: R = ρL/A = (35.28 x 10^-9) x 10,560 / 10,000 = 0.037 Ohms, rounded to two decimal places.
Learn more about Wire Resistance here:
https://brainly.com/question/30799966
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In a factory a manager tests 250 products and find defcts in 7 of them how many defcts are likely going to be in 10000 unit order
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70000=250x
and the answer is
x=280
I hope this helps!!!!!!!
plz help ill give you brainlist
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EQUATION:
$13.25>$1.75h + $8 fee
subtract 8 from both sides
5.25>1.75h
divide both sides by 1.75
3>h
He can rent the bike for 3 hours and not spend more than $13.25
Hope this helps! :)
y=mx+b
Initial cost=initial value = b = 8 (Q did not say $8 is for any rental time).
additional cost per hour = m = 1.75
Equation becomes
y=1.75x+8
If the maximum charge is y=13.25, then we can solve for x, the maximum number of hours to be rented,
13.25=1.75x+8
Subtract 8 from each side
13.25-8=1.75x
5.25=1.75x
divide by 1.75
5.25/1.75=x
x=3
Connor can rent the bike for at most 3 hours.
given the input in the table which function rule produces the output?
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4*4+2=18; 5*4+2=22; 7*4+2=30; 8*4+2=34
Answer: y=4x+2
Answer: b) [tex]f(x)=4x+2[/tex]
Step-by-step explanation:
The given table :-
Input 4 5 7 8
Output 18 22 30 34
Let's check all the options
a) [tex]f(x)=5x-2[/tex]
At x= 4, [tex]f(4)=5(4)-2=18[/tex]
At x= 5 , [tex]f(5)=5(5)-2=25-2=23\neq22[/tex] , thus it not the correct function.
b) [tex]f(x)=4x+2[/tex]
At x= 4 , [tex]f(4)=4(4)+2=18[/tex]
At x= 5 , [tex]f(5)=4(5)+2=22[/tex]
At x= 7 , [tex]f(7)=4(7)+2=30[/tex]
At x= 8 , [tex]f(8)=4(8)+2=34[/tex] , thus it is the function rule that produces the output.
c) [tex]f(x)=3x+6[/tex]
At x= 4 , [tex]f(4)=3(4)+6=18[/tex]
At x= 5 , [tex]f(5)=3(5)+6=21\neq22[/tex] , thus it not the correct function.
d) [tex]f(x)=2x+10[/tex]
At x= 4 , [tex]f(4)=2(4)+10=18[/tex]
At x= 5 , [tex]f(5)=2(5)+10=20\neq22[/tex] , thus it not the correct function.
Hence, the correct function rule that produces the output = b) [tex]f(x)=4x+2[/tex]
Find the fifth term of an=2(-1) n
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We know this because in any problem where we have a base (2) being multiplied by a -1^n power, the numbers will simply alternate between positive 2 and negative 2. All of the even powers will be positive 2 and all of the odd numbers will be negative 2. See the work below.
2(-1)(-1)(-1)(-1)(-1)
2 (1)(-1)(-1)(-1)
2(1)(1)(-1)
2(-1)
-2
So since 5 is odd, the answer is negative 2.
Answer:
The fifth term of [tex]a_n = 2(-1)^n[/tex] is, -2
Step-by-step explanation:
Given the sequence:
[tex]a_n = 2(-1)^n[/tex] .....[1]
where,
n is the number of terms.
To find the fifth term of the given sequence:
Substitute n = 5 in [1] we have;
[tex]a_5 = 2 \cdot (-1)^5[/tex]
⇒[tex]a_5 = 2 \cdot -1 = -2[/tex]
Therefore, the value of fifth term of [tex]a_n[/tex] is, -2
There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
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The probability that a spinner with 14 equal areas lands on a multiple of 5 or a multiple of 2 is 4/7, after identifying the unique numbers from 1 to 14 that fit the criteria and dividing by the total number of possible outcomes.
The student is asking about the probability of an event occurring after spinning a spinner with 14 equal areas numbered 1 through 14. Specifically, the question seeks the probability that the result is either a multiple of 5 or a multiple of 2 when the spinner is spun once.
To solve this, first identify the multiples of 5 and 2 between 1 and 14: for 5, the multiples are 5 and 10; for 2, the multiples are 2, 4, 6, 8, 10, 12, and 14. Here, the number 10 is a multiple of both 5 and 2, so it should only be counted once. In total, there are 8 unique numbers that are multiples of 2 or 5 on the spinner. Since there are 14 possible outcomes, the probability is:
Probability = Number of favorable outcomes / Total number of outcomes = 8 / 14 = 4/7.
Thus, the probability that the spinner lands on a multiple of 5 or a multiple of 2 is 4/7.
a collection of dimes and nickels is worth $8.40 there are 106 coins how many of each are there
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N + D = 106 (There are 106 coins in all.)
1 nickel = 5 cents.
1 dime = 10 cents.
5*N + 10*D = 840 ($8.40 = 840 cents)
N + D = 106 -------(1)
N = (106 - D)
5*N + 10*D = 840 ---------(2)
5*(106-D) + 10*D = 840
530 - 5*D + 10*D = 840
5*D = 840 - 530
5*D = 310
D = 310/5 = 62
Eq(1) N + D = 106
N + 62 = 106
N = 106 - 62
N = 44
simplify the expression using the distributive property 42 + 7a
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By noticing they both have a factor of 7, I was able to find the equation.
Convert 30 gallons to liters using an equivalent rate
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If it takes 6.7 lb of seed to plant one acre of grass how many acres can be planted with 8.04 pounds of seed?
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x= # lbs of seed to cover 8.04 acres
6.7/1=8.04/x
cross multiply
(6.7*x) =(1*8.04)
6.7x=8.04
divide both sides by 6.7
x= 1.2 pounds needed to cover 8.04 acres
Hope this helps! :)
Answer:
1.2 acres of grass
Step-by-step explanation:
It takes 6.7 lb of seed to plant one acre of grass. The ratio of interest is 6.7 lb seed:1 acre of grass. We can find the acres of grass that can be planted with 8.04 pounds of seed using a conversion fraction.
8.04 lb × (1 acre/6.7 lb) = 1.2 acre
We can plant 1.2 acres of grass with 8.04 pounds of seed.
There are 203 apples in a basket. How many children can share these apples equally? How many apples would each child get?
Question#1: All possible numbers of children in ascending order are:
Question#2: All possible numbers of apples in descending order are:
please help!!!!!!!!!
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Q.2 203,29,7,1
Answer:
Question 1: 1, 7, 29, 203
Question 2: 203, 29, 7, 1
Step-by-step explanation:
What is three fourths multiplied by 24
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the distance around a circle (the circumference) is about 3.14 times the diameter. If a circulares table has a diameter of 3 feet What is the circumference can somebody please help me I'm stuck xD
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The relation between the circumference of a circle and its diameter is described by the following equation: [tex] Thecircumference=\pi d[/tex]
where d is the diameter of the circle.
For a giving diameter (d=3ft), we can substitute in the previous equation
The circumference of a circule= 3.14*3 (you can use ur calculator to find the exact number i guess it will be about 9.42 ft)
I hope it helps.
What is the area of this trapezoid? Enter your answer in the box. units2 A rectangle with a length of 10 and a height of 9 has two right triangles on each side of it with short leg lengths of 9.
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[the area of the trapezoid]=[area of rectangle]+2*[area of triangle]
[the area of the trapezoid]=[10*9]+2*[9*9/2]
[the area of the trapezoid]=[90]+2*[40.5]= 171 units²
see the attached figure
the answer is 171 units²
Solve the equation using square roots. 7x2 + 6 = 13
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7x²=7
x²=1
x=1 or -1
Given the equation is 7x² + 6 = 13.
Solving the quadratic equation using square roots :-
7x² + 6 = 13
Step 1 :- subtracting 6 from both sides
7x² + 6 - 6 = 13 - 6
7x² = 7
Step 2 :- Dividing by 7 on both sides
[tex] \frac{7x^{2}}{7} = \frac{7}{7} \\\\
x^{2} = 1 [/tex]
Step 3 :- Taking square root on both sides
[tex] \sqrt{x^{2}} = \sqrt{1} \\\\
x = -1 \;\;OR\;\; x=1 [/tex]
So, x = -1 or x = 1 is the final answer.
True or false ? The polynomial below is a perfect square trinomial of the form A2-2AB+B2 4x2-16x+16
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4x^2 -16x +16 = (2x -4)^2
A = 2x
B = 4
evaluate if hj + h if h = 6 and j = 8
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8 multiplied by 6 is 48
48 plus 6 is 54
The difference between two numbers is 66. The sum of the two numbers is 88. Find the greatest number
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NEED HELP!!!!!!!!!!!!!!!!!!!!FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! kind like..........RIGHT
NOW!!!!!!!!!!!!!!!!!!!!!!!!!
The area of a circle is 113.04 in. 2. What is the radius of the circle? 36 inches 18 inches 12 inches 6 inches
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[tex] \sqrt{ \frac{a}{\pi} } [/tex]
so the answer would be 6 inches
Please help me with question 6
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The answer is either C or D. Choice C seems to show up but only partially. Choice D seems to be completely left out for some reason. Please repost with the answer choices.
Lalo has 1500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minutes? What is the interpretation?
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number of minutes per month - number of minutes used = number of minutes left.