The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Given the expression 256 + 4. This can be solved using the partial sum expressed as:
256 + 4
256 + 4
= (200 + 40 + 16) + 4
According to the commutative property, A+B = B+A
The arrangement does not affect the result. Hence;
(200 + 40 + 16) + 4 = 4 + (200 + 40 + 16)Using the distributive law;
4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)
Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Learn more on partial sum here: https://brainly.com/question/6958503
What is the first step of the second step to prove that Sn arrow 1+2+3+..+n=n(n+1)/2?
Answer:
I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.
Step-by-step explanation:
A town doubles its size every 35 years. If the population is currently 50000, we will the
population be in 140 years?
please help
If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.
Answer:
III) (5, -1)Step-by-step explanation:
Given relationship between the constants of the line ax + by +c = 0:
a - 5b - 3c = 8We can try options, the obvious one is:
a = 0, b = - 1, c = - 1In this case the line becomes:
0x - y - 1 = 0y = - 1This gives us the point (5, - 1), the option III
Please help look at the picture below
Answer:
I’m sorry I don’t know
Step-by-step explanation:
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yall i need help asap! its due in 1hr!!
[tex] \frac{7}{20} \times 100 = \\ [/tex]
[tex] \frac{20 \times 5 \times 7}{20} = \\ [/tex]
[tex]5 \times 7[/tex]
[tex] 35 \: \: percent[/tex]
_____________________________________________
Suppose that number is x thus twice a number means :
[tex]2 \times x[/tex]
Plus 6 :
[tex]2x + 6[/tex]
Gives a result 28 :
[tex]2x + 6 = 28[/tex]
_____________________________________________
Have a great day ♡
the fraction 26/5 is between which two numbers
Answer:
[tex]\huge\boxed{5,6}[/tex]
Step-by-step explanation:
The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.
Hope it helps :) and let me know if you want me to elaborate.
Will mark brainliest
Answer:
The purple square
Step-by-step explanation:
slope = 1/2 goes through (2,6)
Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.
Answer:
Quintic Trinomial (2nd option)
Step-by-step explanation:
We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have [tex]-3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x[/tex]
So, there are 3 terms, which is a trinomial.
Can someone plss help me with this!!!
Answer:
10/1 or 10
Step-by-step ex planation:
The rate of change is just a fancy word for slope!
To find the slope of this line I found two points of the graph that were easy to determine. Slope = rise/run
which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2
Hope this helps!!
Please tell me if I have messed up!!
I enjoy learning from my mistakes:)
Evaluate the expression for u = -15.
-2(-12 – u) =
Answer:
-6
Step-by-step explanation:
-2(-12 - u )
u = -15
-2 ( -12 - (-15))
remove parenthesis.
-2 ( -12 + 15 )
add -12 and 15
-2 ( 3 )
multiply -2 and 3
= -6
Step-by-step explanation:
u = -15-2(-12 - u) = -2(-12 + 15) = -2(3) = -6
help pls i don't know how to do it
Answer:
y=5x-8
Step-by-step explanation:
Slope=m=(7-3)/(3-2)
y=5x+b=>2=5*2+c=>c=-8
So y=5x-8
[tex]\text{Given that,}\\\\(x_1,y_1) = (2,2), ~ \text{and}~ (x_2,y_2) = (3,7)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{7-2}{3-2} = \dfrac 51 = 5\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y-2= 5(x-2)\\\\\implies y -2 = 5x-10\\\\\implies y = 5x -10 +2\\\\\implies y = 5x -8\\\\\\\text{It is now in a form of y = mx +c}[/tex]
Drag the numbers below to put them in order from least to greatest:
5.4
5.465
5.51
5.529
5.48
5.596
Answer:
5.4
5.465
5.48
5.51
5.529
5.596
Step-by-step explanation:
5.465 is 0.065 higher than 5.4
5.48 is 0.015 higher than 5.465
5.51 is 0.03 higher than 5.48
5.529 is 0.019 higher than 5.51
and 5.596 is 0.067 higher than 5.529
Round off to one decimal
5.4=5.4005.465=5.4655.51=5.5105.5295.4805.596Order
5.400<5.465<5.480<5.510<5.529<5.596
what is the quotient of 5/12 divided by 3/4
Answer:
5/9
Step-by-step explanation:
dividing (5/12) by (3/4) we get,
(5/12) ÷ (3/4)
(5/12) × (4/3)
(5 /3 * 3)
(5/9) final answer
that was sooo good !
40% of 58 and 34% of 76
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Answer:
See below
Step-by-step explanation:
40% of 58 = 0.40(58) = 23.2
34% of 76 = 0.34(76) = 25.84
Answer:
23.2
25.84
Step-by-step explanation:
To calculate percentage, multiply the number by the percentage's decimal.
for example, 20% of 300
20%-->20/100---->0.20
300×0.20=60
40% of 58--->
40/100--->0.40
58×0.40=23.2
34%--->34/100--->0.34
0.34×76=25.84
Hey can yall help me asap
Answer:
4 pieces of fruit
Step-by-step explanation:
48 divided by 12 = 4
28 divided by 7 = 4
Help help help help pls
What is the slope of the line
Answer:
Slope: 1/2
Step-by-step explanation:
Look at the file.
7 grade math hellp me
Answer:
P=25
Step-by-step explanation:
Solve the following system of equations.
3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28
Solution(s):
Answer:
[see below]
Step-by-step explanation:
I graphed the system of equations.
When graphed, the two equations intercept 4 times.
(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.
Hope this helps.
Part A: Find the LCM of 5 and 12. Show your work. (3 points)
Part B: Find the GCF of 72 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answer:
Part A: 60
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
12, 24, 36, 48, 60.
---------------------------------
Part B: 9
81 / 72 = 9
----------------------------------
Part C: 9 (8 + 9)
---------------------------------
GCF of 72 and 81 is 9...
Divide 72 by 9 and get 8.
Divide 81 by 9 and get 9.
To check multiply 9 with 8, and multiply 9 by 9.
150 - 0.5 = 120 + 0.25
Answer:
149.5 = 120.25
Step-by-step explanation:
A car travels 15 km in 13 minutes. What is its average speed in km/h?
Answer:
69.45 km/hStep-by-step explanation:
Speed = Distance/Time=> Speed = 15 km ÷ 13/60 => Speed = 15 km ÷ 0.216=> Speed = 15 km/0.216=> Speed = 15 x 4.63/0.216 x 4.63=> Speed = 69.45 km/1 h (Approximate)Conclusion:
Therefore, the speed is 69.45 km/h (Approximate)Hoped this helped.
May I please receive help?
Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Step-by-step explanation:
Apply Pythagoren Theorem.
[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]
where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.
the legs are 6 and our unknown. so let x represent the unknown
[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]
[tex]36 + {x}^{2} = 121[/tex]
[tex] {x}^{2} = 85[/tex]
[tex]x = \sqrt{85} [/tex]
x=9.2
Helppp it’s geometry I just have no clue how to do this so if your good at geometry plz take a look
Answer:
≈ 98.7
Step-by-step explanation:
What you want to use is Pythagorean Theorem
96 squared + 23 squared = c squared
≈ 98.7
Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)
Answer:
[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]
Step-by-step explanation:
[tex]x^6-16x^2[/tex]
[tex]x^2\left(x^4-16\right)[/tex]
[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]
[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]
The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.
Given that,
To determine the equivalent expression equivalent to x⁶ - 16x²
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= x⁶ - 16x²
= x²[x⁴- 16]
= x²[x² + 4] [x² - 4] [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)
Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
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The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information?
A
The average weight gain of a kitten on a newly developed brand of kitten food is also 0.3 lbs. a month.
B
The average weight gain of an adult dog on a newly developed brand of adult dog food is also 0.3 lbs. a month.
C
The average weight loss of a puppy on a newly developed brand of puppy food is 0.3 lbs. per month.
D
none of the above
Car Miles Driven Gallons Used
Car A 84 2
Car B 90 4.5
Car C 108 3
Car D 185 5
Which car can travel the furthest on one gallon of gas?
Car A
Car B
Car C
Car D
Answer:
A is correct. Car D will go furthest.
Step-by-step explanation:
The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?