11. Is the expression [(2.7)4]6 equivalent to the
[(2.7)8] 3? Explain. Use a Law of
to justify your answer.
expression
Exponents
The expression [ (2.7) [tex]4]^{6}[/tex] is not equivalent to [ (2.7) 8 ] ³.
What are exponents?
An exponent refers to the number of times a number is multiplied by itself.
Example:
a², a³
2 and 3 are exponents.
We have,
[ (2.7) [tex]4]^{6}[/tex]
Here 6 is the exponent.
We can write 6 as 2 x 3
Now,
= [ (2.7) [tex]4]^{2\times3}[/tex]
We can take 2 inside [ (2.7) 4 ]
= [ (2.7)² 4² ] ³
= [ (2.7)² 16 ] ³
We can see that it is not equivalent to [ (2.7) 8 ] ³.
Thus the expression [ (2.7) [tex]4]^{6}[/tex] is not equivalent to [ (2.7) 8 ] ³.
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Work out the area of this circle.
Give your answer in terms of rt and state its units.
6 mm
whats the units?
The Area of the circle is 36π mm²
The area the world circle is that the house occupied by the circle during a two-dimensional plane. Also, the house occupied within the boundary/perimeter of a circle is termed the world the world circle. The formula for the world the world circle could be a could be a, wherever r is that the radius of the circle.Area unit is sq. unit, for instance, m², cm², in², etc. space of a circle = πr² or πd² / four in sq. units, wherever wherever = 22/7 or 3.14. Pi (π) is that the magnitude relation between the circumference and diameter of any circle. it's a special mathematical constant.The circular space formula is beneficial for activity the world occupied by a field or a circular field. as an example if you've got a circular table, the world formula can facilitate us to understand what quantity material is required to fully cover it.Radius of a circle = 6 mm
A circle's area is expressed as as A = πr²,
Where,
Radius (r) = 6 mm
Area = π(6)²
= 36π mm²
Hence the Area of the circle is 36π mm².
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Who is the worst shooter Jason mike Jim or dave
Mike is the best shooter than Jason mike Jim or dave .
Mike and Jim are faster and more accurate shooters than Jason and Dave. Mike is the quickest because Jim is the second fastest. Because no one individual is the greatest (for example, tallest, fastest, or best shooter) in more than one category, Dave is the tallest.
Mike and Jim are faster and more accurate shooters than Jason and Dave. Mike is the quickest because Jim is the second fastest. Because no one individual is the greatest (for example, tallest, fastest, or best shooter) in more than one category, Dave is the tallest.
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(9x² - 2x + 7) + (4x²+7x+2)
A. 13x²+9x-9
B. 13x²+5x+9
C. 5x²+5x÷5
D. 13x²+9x+9
By further simplifying the quadratic equation the answer is 13x²+5x+9.
What are quadratic equation?=(9x² - 2x + 7) + (4x²+7x+2)
= 9x²+4x²+7x-2x+7+2
= 13x²+5x+9
Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.
x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
When a problem is factorable, factoring is often the quickest and simplest solution. Factoring won't help us because many times the quadratic we're working with can't be factored. Therefore, it is quick and simple when it is useable but not always factorable.
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In a game, a player randomly pulls a card from a stack that contains 2 red, 2 yellow, and 4 black cards. Only yellow cards will be added to the stack. How many yellow cards should be added to the stack to make the chance of pulling a yellow card 50%? Enter the answer in the box.
Answer:
1
Step-by-step explanation:
R=red Y=yellow B=black
2(R)+4(B)
=6
2(Y)/6(R+B)
2/6 to get 50=50 or 3/6=1/2
you need 1 more yellow
Roaring Brook School has three hundred fifty-six third-grade students. To the nearest hundred, how many students are in the third grade at Roaring Brook School?
The number of students in the third grade at Roaring Brook School is 400
How to determine the number of students in the third grade at Roaring Brook School?The number of students in the third grade at Roaring Brook School is given as
Students = three hundred fifty-six third
Express as digits
Students = 356
When the above number is approximated to the nearest hundred, we have
Students = 400
Hence, the number of students in the third grade at Roaring Brook School is 400
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Forty more than a number is?
Answer:
x+40
Step-by-step explanation:
I'm assuming you need to write a mathematical equation from a sentence. You need to take each word and make it into a mathematical symbol. The forty stays as 40, the more becomes a +, and the number is x because it is unknown
1. BOWLING Brooke went bowling with her friends. She bowled 3 games, and
her average score for those games was 121. She had 117 her first game and
108 her second game. Write and solve an equation to find g, the score of
her third game.
pls show your work
Answer: x = 138
Step-by-step explanation:
[tex]108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138[/tex]
1/3 divided by 3/5 = 1/3 divided by M. What is M. I came up with 3/5
Answer:
Yes you are correct
Step-by-step explanation:
1/3 / 3/5 = 1/3 / M
3*1/3 / 5*3/5 = 3*1/3 / 5M
3/3 / 15/5 = 3/3 / 5M
1/3=1/(5M)
5M * 1/3 = 1
5M * 3 * 1/3 = 1 * 3
5M=3
M=3/5 √
a salad dressing recipe calls for 3/4 cup of olive oil for every 1/2 cup of vinegar how many cups of vinegar are needed for 2 cups of olive oil
The cups of vinegar needed will be 1 1/3 cups.
How to calculate the value?From the information, the salad dressing recipe calls for 3/4 cup of olive oil for every 1/2 cup of vinegar.
Let the.cuos needed for the.olive.oio be represented by x.
Therefore, this will be:
1/2 / 3/4 = x/2
Cross multiply
0.75 × x = 2 × 1/2
0.75x = 1
x = 1/0.75
x = 1 1/3
Therefore the cups of vinegar needed will be 1 1/3 cups.
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select two points that lie on the same line throught (0,0), then select an equation that describes the relationship between the coordinates x and y
Two collinear points on a line are given in the table below:
x, y
0 0 (0,0)
2 1 (2,1)
Select the points that lie on the line. and the relationship between the coordinates x and y.
(4,2)
(4, 3)
(7,2)
4/8, 2/8
Answer:
(4,2) and ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) are lie on the line, and y = [tex]\frac{1}{2}[/tex] x , is showing the relationship of x and y coordinates of given line.Given that
The co-ordinates of line is (0,0) and (2,1).To find
The points that lie on the line, and The relationship between the coordinates x and y.So, according to the question
We have,
The X and Y co-ordinates of line (0,0) and (2,1).For finding any point that lie on line, first we have to find the slope of given line,
So, we know that
slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where,
x₁ = 0 and x₂ = 2
y₁ = 0 and y₂ = 1
Now, putting the values, we will get
(m) = [tex]\frac{1-0}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]
m = [tex]\frac{1}{2}[/tex]
We know that, the equation of line
y-y₁ = m(x- x₁ )
y-0 = [tex]\frac{1}{2}[/tex] (x- 0)
y = [tex]\frac{1}{2}[/tex] x -------------(1)
{ this equation (1) is showing a relationship the coordinates x and y }
For finding which point is lie in that line, this point must be prove that equation (1).
Now, let's check the points
For point (4,2)
y = [tex]\frac{1}{2}[/tex] x -------------(1)
2 = [tex]\frac{1}{2}[/tex] × 4
2 = 2
So, point (4,2) lie in this line.
For point (4,3)
y = [tex]\frac{1}{2}[/tex] x -------------(1)
3 = [tex]\frac{1}{2}[/tex] × 4
3 ≠ 2
So, point (4,3) not lie in this line.
For point (7,2)
y = [tex]\frac{1}{2}[/tex] x -------------(1)
2 = [tex]\frac{1}{2}[/tex] × 7
2 ≠ [tex]\frac{7}{2}[/tex]
So, point (7,2) not lie in this line.
For point ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex])
y = [tex]\frac{1}{2}[/tex] x -------------(1)
[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{8}[/tex]
[tex]\frac{2}{8}[/tex] = [tex]\frac{2}{8}[/tex]
So, point ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) lie in this line.
(4,2) and ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) are lie on the line, and y = [tex]\frac{1}{2}[/tex] x , is showing the relationship of x and y coordinates of given line.
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What are the next two terms in the following sequence? 6, 3, 12, 6, 24.....
Answer:
12, 48
The pattern is: Divide by 2, then multiply by 4
Doug says the area of the figure is 20 square units. What is the correct area of
the figure? What mistake might Doug have made?
5 units
5 units
Answer:
The correct area is 25 square units.
His mistake was that he found the perimeter instead of the area.
Step-by-step explanation:
Area = Length x Width
Area= 5 x 5= 25
His mistake:
Perimeter = length + length + width + width
Perimeter = 5 + 5+ 5+ 5 = 20
someone please help me out with this need for important grade
Answer:
6
Step-by-step explanation:
1605 - 75
1530 / 255 = 6
A square acre of land is 5,280 square yards.
Between which two integers is the length of one side?
between 17 and 18 yards
between 72 and 75 yards
between 24 and 243 yards
between 1,320 and 1,321 yards
By factor decomposition, area of a square and power and root properties, the length of the side is between 72 yards and 76 yards. (Correct choice: B)
What integers are the limits between the length of an equivalent square side of a given area?
The area of a triangle is equal to the square of its side length and the area of land is a composite number, that is, a product of prime numbers. By factor decomposition, the equivalent form of 5,280 square yards is:
5,280 = 2⁵ × 3 × 5 × 11
Then, the equivalent side is equal to the square product of the product:
x = √(2⁵ × 3 × 5 × 11)
x = √(2⁴) × √(2 × 3 × 5 × 11)
x = 2² × √(2 × 3 × 5 × 11)
x = 4√330
As for √330 is between √324 = 18 and √361 = 19, then the length of the side is between 72 yards and 76 yards.
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What is the greatest common factor of 38 and 30?
The greatest common factor of 38 and 30 is 2.
How to calculate the value?It should be noted that thw first step to this method of finding the Greatest Common Factor of 30 and 38 is to find and list all the factors of each number.
Let’s take a look at the factors for each of these numbers, 30 and 38:
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 38: 1, 2, 19, 38
When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 30 and 38 would be 2.
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Can somebody please help me I'm trying to find out what 2 + 2 is
Answer:
2+2 = 4
Step-by-step explanation:
Let's visualize this using # signs
we have two groups of two # signs, so let's map that out
##
##
If you count the individual # signs, it is 4. You can also use this model to figure out 2 *2 (4)
I hope this helps :)
Answer:
4
Step-by-step explanation:
2+2
2+1+1
3+1
4
2 Determine whether the equation is a direct variation. If it is, state the constant of variation: 4y = 9x?
OYes, k= 9/4
O Yes, k = 4/9
O Yes, k = 9
O Not direct variation
Yes the the equation is following direct variation. Correct option is A, Yes, k = 4/9
What is Direct Variation?The change in one quantity as a result of the change in another is known as direct variation. This implies that if one quantity increases or decreases, the other must do the same.
Direct variation describes how one quantity directly affects the other when it varies. The precise reverse of this is called inverse variation. You will discover what direct and inverse variants are in this article, along with various cases that have been solved.
4y = 9x
standard equation for direct variation is y = kx
y = 9/4 x
On comparing the equation with standard equation,
k = 9/4
Hence, the equation is following direct variation
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Robert made 3 more than twice as many baskets as Billy did in the
basketball game.
The algebraic expressions of the statements are x = 6y - 4 and r = 3 + 2b
How to determine the statement as an algebraic expression?Statement 1
The statement is given as
Ramona has 4 less than 6 times as many one dollar bills as Rita has
Let the number of one dollar bills owned by Ramona be x and the number of one dollar bills made by Rita be y
So, the interpretation of the statement is
x = 6y - 4
Hence, the algebraic expression of the statement is x = 6y - 4
Statement 2
The statement is given as
Robert made 3 more than twice as many baskets as Billy did in the basketball game.
Let the number of baskets made by Robert be r and the number of baskets made by billy be b
So, the interpretation of the statement is
r = 3 + 2b
Hence, the algebraic expression of the statement is r = 3 + 2b
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Being... Great.... might be 78?! nah she prolly not im jk
Answer:
B.
Step-by-step explanation:
233% = 2.33
2 2/3 = 2.6
All work and the answer is provided in the screenshot that is attached! :)
Have a great day!
The 14 digits of a credit card are written in the boxes shown. If the sum of any three consecutive digits is 16, what is the
value of A?
A =
Please show work.
Answer:
3.
Step-by-step explanation:
1) in the given sequence position no. 13 can be calculated easy:
16-(6+7)=3 (see the attachment), then
2) it is possible to calculate the position no. 11 (=7), then no.10(=3), then no.9 (=6), then it is visible repeating of subsequence '637', it means
3) the number of the given credit card is
37637637637637;
4) finally, the value of A is 3.
identify the coefficient, constant, and variable in the expression: - 5 + 8w
Answer:
coefficient=8
constant=-5
variable=x
Step-by-step explanation:
Answer:
-5 constant
8 coefficient
w variable
Step-by-step explanation:
Is 7.65 greater or less than 7.7
Answer:
less than
Step-by-step explanation:
pls help edguity
Using a Ratio Table
A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
The value of A is
.
The value of B is
.
Using proportions, it is found that:
The value of A is of 10.The value of B is of 35.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
In the first row of the table, we are given the scale factors of 1 and 1.25. From the second row, we have that the width for a scale of 1 is of 8 inches, and for a scale of 1.25 is of A, hence:
A = 1.25 x 8 = 10.
For the third row, we have that the scale of 1 is of 28 inches, while the scale of 1.25 is of B, hence:
B = 1.25 x 28 = 35.
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HELP ME OUT PLEASE!!!!!!!!
Answer:
-3
Step-by-step explanation:
Answer:
x-intercepts: (6,0)
y-intercepts: (0,3)
Which expression shows the first step in dividing 5x + 3 by x?
The First step Linear Expression shows is 5+3/x
An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.
so when this linear expression 5x + 3 is divided by x then the first step will be
5 + 3/x
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Jordan’s Girl Scout troop has 20 members. Everyone has monthly dues of $15.50. On the first meeting, 12 members paid their dues. The rest paid their dues at the second meeting. How much money was collected at the second meeting?
3 Choose 1 answer: A B D x = √√√27 x = √18 x = 5 x = 4 6
Answer:
the answer is A-x=
Step-by-step explanation:
because if you multiply 3 by 6 you get 27
write one hundred sixty-six thousandths in standar form
0.166 is the standard form of that
On Monday, Saffron bakes
324 pastries in the morning and some more in the
afternoon. She sells 584 pastries. At the end of the
day she has 52 pastries left. How many pastries did
she bake in the afternoon?
the number of pastries that she bake in the afternoon is equal to 312 pastries.
We are given that:
Saffron sells 584 pastries in the whole day and 52 pastries are left at the end of the day.
Now, we will use addition to find the total number of pastries that is being made in the day.
Total pastries = 584 + 52
Total pastries = 636
Now, she bake 324 pastries in the morning.
So, the number of pastries baked in the afternoon = 636 - 324
In afternoon = 312.
Therefore, we get that the number of pastries that she bake in the afternoon is equal to 312 pastries.
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