Answer:
Step-by-step explanation:
In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.
From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are
B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
The results are the same irrespective of the arrangement of the numbers.
5, 14, 11, 16, 7, 5, 18, 9 What is the median?
Answer:
The median would be 10. The number in between 9 and 11 would be 10
Step-by-step explanation:
The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.
Hope this helped!!!
the standard deviat
ion of the number 6,0,4,3and2is
Answer:
2
Step-by-step explanation:
First calculate the mean. This is done by adding the numbers and dividing by the count:
sum = 6+0+4+3+2 = 15
count = 5
mean = 15/5 = 3
Now create a table with the "squared deviation to the mean":
6: (6 - 3)² = 9
0: (0 - 3)² = 9
4: (4 - 3)² = 1
3: (3 - 3)² = 0
2: (2 - 3)² = 1
And sum these:
9+9+1+0+1 = 20
Divide by the count to find σ²:
σ² = 20/5 = 4
Hence σ = √4 = 2
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is
Answer:
$10,400
Step-by-step explanation:
If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080
It also continues on for 5 years so 2,080*5=$10,400
Answer:
10833
Step-by-step explanation
Use the formula
Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]
a₁= 2000
r= 1+4%=1.04
n=5
plug back into equation
S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6
Rounded to the nearest dollar $10,833
I need help with this problem... can someone help me ASAP please
Answer:
C. -2
Step-by-step explanation:
The slopes of parallel lines are always the same.
what is the length of this line? khan academy - Distance between two points
Answer:
D = √[(x2 - x1)² + (y2 - y1)²]
Step-by-step explanation:
Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).
Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.
That is,
D² = (x2 - x1)² + (y2 - y1)²
Now, taking square roots of both side, we have the formula for the distance or length D.
D = √[(x2 - x1)² + (y2 - y1)²]
How do I add 15% to $425?
Answer:
$444.25
Step-by-step explanation:
15 / 100 * 425 = 15 + 4.25 = $19.25
So $425 + $19.25 = $444.25
Answer:
$444.25
Step-by-step explanation:
Cual es el 5% de 6000
Answer:
Explanation:
I hope you understand this
which expressions are equivalent to 2(2x + 4y + x - 2y)
2(x + 6y) and 2x + 12y
2(x+ 2y and 2x + 4y
2(3x + 2y) and 6x + 4y
2(3x + 6y) and 6x + 12y
Answer:
C. 2(3x + 2y) and 6x + 4y
Step-by-step explanation:
Hope I helped!!
Evaluate 32 + (4c − 6c) + (2 + 6c) for c = 5. A.22 B.64 C.−10 D.54
Answer:
The answer is option D
32 + (4c − 6c) + (2 + 6c)
c = 5
32 + ( 4(5) - 6(5)) + (2 + 6 (5)
= 32 + (20 - 30) + ( 2 + 30)
= 32 - 10 + 32
= 54
Hope this helps
Answer:
D. 54
Step-by-step explanation:
32 + (4c - 6c) + (2 + 6c)
Put c as 5 and evaluate.
32 + 4(5) - 6(5) + 2 + 6(5)
Multiply the terms.
32 + 20 - 30 + 2 + 30
Add or subtract the terms.
32 - 10 + 2 + 30
22 + 32
= 54
Find the square root of 0.925 using long division method...
Answer:
0.96176920308
Step-by-step explanation:
i think so
10 The mass of a cube of side 2 cm is given as 100 g. The side is accurate
to the nearest millimetre and the mass accurate to the nearest gram.
Calculate the maximum and minimum possible values for the density of
the material (density = mass = volume).
sorry for this being so long I'm a rush but ask questions pls.
Step-by-step explanation:
The question specifies ranges of possible lengths and masses. The length can vary from about 19.5 millimeters to almost 20.5 millimeters. The mass can vary from about 99.5g to almost 100.5g.
For more about my use of the terms about and almost, and the reason for the “.5” values, see the Notes at the end.
Now:
A smaller object with a given mass will have a higher density;
A larger object with a given mass will have a lower density;
An object of given size with a smaller mass will have a lower density;
An object of given size with a larger mass will have a higher density.
This could be summed up by saying that density varies inversely with size but varies directly with mass.
So the lowest density occurs with the largest length and the smallest mass, while the highest density occurs with the smallest length and the largest mass.
Within the bounds of error, the largest possible length is about 20.4999…mm while the smallest possible mass is 99.5g. So doing the density calculation with these numbers will give the lowest possible density.
Similarly, doing the density with a length of 19.5mm and mass of 100.4999…g will give the largest possible density within the error bounds.
Notes
The first issue is with the term “accurate to the given millimeter”. My interpretation follows the guidelines in Illustrative Mathematics (under Solution) and appears, from the text in that page, to be consistent with the Common Core (which is the way we teach math to kids these days in the U.S.)
In the context of measuring the diameter of a circle, it says:
Juan finds that the circle is 5 cm or 50 mm in diameter. Since the tape measure is accurate to the nearest millimeter, this means that the actual diameter is between 4.95 centimeters and 5.05 centimeters.
There’s a deeper issue associated with rounding. The most common rule is that 0.5 rounds up. Thus the quote above is not quite correct; the actual diameter is between 4.95 centimeters and just less than 5.05, but not 5.05 exactly which would round to 5.1 centimeters.
The example in the linked page probably doesn’t deal with this subtle issue because it’s for kids who have not yet been taught about things like repeating decimals or the conceptual complexity of perfect rounding. I dealt with it by specifying “…” in the values above.
Find the surface area of the cone in terms of pi.
Answer:
First option is the correct choice.
Step-by-step explanation:
[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]
Best Regards!
What is the domain of y = log: X?
all real numbers less than 0
O O O O
all real numbers greater than 0
all real numbers not equal to O
all real numbers
7
Answer:
all real numbers greater than 0
Step-by-step explanation:
The log function is only defined for positive numbers. The domain of ...
y = log(x)
is all real numbers greater than 0.
work out the area of the semicircle with a radius of 18cm, take π to be 3.142 and write down all the digits given by the calculator
Answer ?.???? ?.???. ?????
Area of the semicircle = 509.004 cm²
What is semicircle?When an arc of a circle with its endpoints on the diameter cuts a circle into two equal halves, those halves are called semicircles.
Given,
radius of semicircle = 18cm
π = 3.142
Area of the semicircle = πr²/2
= 3.142 × 18×18/2
= 3.142 × 18×9
= 56.556×9
= 509.004 cm²
Hence, 509.004 cm² is the area of the semicircle.
Learn more about semicircle here:
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You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance by adding 5 to the number of miles you have walked. In the equation below, X represents the number of miles you have walked, and Y represents your distance from home in miles.
Answer:
The independent variable is the number of miles you walked.
Unfortunately, I do not know the dependant variable.
Step-by-step explanation:
so do it urself. :)
Can someone answer this for me?
=============================================================
Work Shown:
Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area
A = h*(b1+b2)/2
A = 5*(11+12)/2
A = 57.5
The rectangle in the middle has area
A = L*W
A = 12*15
A = 180
The trapezoid on the right has area
A = h*(b1+b2)/2
A = 10*(12+9)/2
A = 105
Overall, the entire figure has area of 57.5+180+105 = 342.5 square meters
1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters
342.5/15 = 22.8333333333333 approximately
Round up to the nearest whole number to get 23
We need 23 cans to be able to paint 342.5 square meters or more
Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5
While 23 cans is more than enough since 23*15 = 345. It's better to have leftovers than come up short.
Since each can costs £6 and we need 23 of them, the total cost would then come to 6*23 = 138 pounds
Answer:
The figure consists of two trapeziums and a rectangle
Area of figure = Area of rectangle + Area of the two trapeziums
Area of rectangle = length × width
= 12m × 15m = 180m²
Area of first trapezium = 1/2(a+b) × height
= 1/2(12+11)×5
= 57.5m²
Area of second trapezium = 1/2(a+b) × height
= 1/2(9+12)×10
= 105m²
Area of figure = 180 + 57.5 + 105 = 342.5m²
If 15m² = 6£
342.5 = 342.5/15 ×6
= £ 137
Hope this helps.
What is the decimal multiplier to decrease by 25%?
Answer:
0.75
Step-by-step explanation:
A decrease of 25% becomes 75% of the original number. 75% as a decimal is 0.75.
Answer:
0.75
Step-by-step explanation:
100(0.75)=75
Write an
explicit formula for An, the nth
term of the sequence 22, 17, 12, ....
Answer:
-5n + 27
Step-by-step explanation:
The difference is -5.
The first term is 22.
Use the formula for nth term.
an = dn + (a - d)
a is the first term.
d is the difference.
an = - 5n + (22 - ( - 5 ))
an = -5n + (22 + 5)
an = -5n + 27
Answer:
27 - 5n.
Step-by-step explanation:
This is arithmetic with common difference = 17 - 22 = -5 (also 12 - 17 = -1).
nth term an = a1 + d(n - 1)
= 22 - 5(n - 1)
Which simplifies to 27 - 5n
y=kx and x is doubled what happens to y
Answer:
see explanation
Step-by-step explanation:
Because the quantities are in proportion
When x doubles then y doubles
Can I please get help with this?
[tex]\pi \times d[/tex]
22/7×21.6
=67.88
=70
Which of the following factors of production is unlikely to be found in a
command economy?
A. Entrepreneurship
B. Land
C. Capital
D. Labor
Option (A) is correct
What are factors of production?
" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."
What are some examples of entrepreneurship as a factor of production?
An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.
So, option (A) is correct
more about factor of production
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Answer: entrepreneurship
Step-by-step explanation:
just took the quiz
Please help ASAP :{ jhjkhybblvklmmm
Answer:
CStep-by-step explanation:
V=0.5*b*l*h
V=0.5*10*28*12
V=10*14*12
V=10*168
V=1680 m^3 or C
Answer:
C. 1680 m³
Step-by-step explanation:
Find the base of the triangular prism:
[tex]\frac{1}{2}*28m*12m=\\14m*12m=\\168m^2[/tex]
Now we can multiply the base by the height, 10.
[tex]168m^2*10m=\\1680m^3[/tex]
Our answer is C. 1680 m³
A 60-meter-long wire is divided into two parts such that the length of one part is 3/5 parts the length of the other. Determine the length of each part
Answer:
36 meters and 24 meters.
Step-by-step explanation:
[tex]60 \times 3/5\\180/5=36[/tex]
[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]
Answer:
37.5 m, 22.5 m
Step-by-step explanation:
Let length of first part be x
Length of second part be 3/5x
x + 3/5x = 60
5x + 3x = 60
8x = 300
x = 300/8 = 37.50 m
Second part is 3/5x
3/5 x 37.50 = 22.50 m
Find the 24th term of an arithmetic sequence for which a_1 = 2 and d = 6.
Answer:
140
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 6 , thus
[tex]a_{24}[/tex] = 2 + (23 × 6) = 2 + 138 = 140
Answer: a₂₄ = 140
Step-by-step explanation:
The formula for an arithmetic sequence is: [tex]a_n=a_1+d(n-1)[/tex] where
a₁ is the first term of the sequenced is the difference between termsn is the term you are looking forGiven: a₁ = 2, d = 6, n = 24
a₂₄ = 2 + 6(24 - 1)
= 2 + 6(23)
= 2 + 138
= 140
The 24th term is 140.
QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179
Answer:
It is 91
Step-by-step explanation:
:)
Answer:
C: 91
Step-by-step explanation:
Unit test Edge 2021
what is the relationship between the exponents of (3^2) ^4 and the exponents of 3 ^8
Answer:
They are equal
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex](3^2)^{4}[/tex] = [tex]3^{2.4}[/tex] = [tex]3^{8}[/tex]
The exponents of both expression are 8 and therefore equal
Select the correct answer. What is the domain of the function represented by this graph?
Answer:
Doman is the x intercpet range
Step-by-step explanation:
all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.
The Answer Is:
All Real Numbers
If x 3=-27, then what is x?
-3
3
9
Question #8MultipleChoice
Answer:
x=-9
Step-by-step explanation:
3 x=-27
x = -9
Answer:
-9
Step-by-step explanation:
x3 = -27 OR 3x = -27
3x/3 = -27/3
x = - 9
3 3/5 times (-8 1/3)
Answer:
-30
Step-by-step explanation:
3 3/5 × -8 1/3
Turn to improper fractions.
18/5 × -25/3
Multiply.
-450/15
Divide.
= -30
Pls helpppppppppppppp
Answer:
a. √2⁴+3² = √16 + 9
= √25 = 5
The answer is a
b. √10²-2^6 = √100-64
= √36 = 6
The answer is b
Hope this helps.
Answer:
A.) should be C
B.) should be D
90% sure