Answer:
I believe the answer to this question is 7
Simplify: [3(2a)3/2]^2
Answer:
24a³
Step-by-step explanation:
Simplify, then, 2.1 2³ divided by 2¹= 2 (³_¹)= 2²
( 3 . 4³ .2. =24a³.
Simplification of an expression is making it as simple as possible. The simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}\\\\^n\sqrt{a} = a^{1/n}\\(ab)^c = a^c \times b^c[/tex]
For the given case, the expression is simplified by using the given rules as:
[tex][3(2a)^{3/2}]^2 = 3^2 \times (2a)^{\dfrac{3}{2} \times 2} = 9 \times (2a)^3\\[/tex]
[tex][3(2a)^{3/2}]^2 = 9 \times 8 \times a^3 = 72a^3[/tex]
Thus, the simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]
Learn more about exponent here:
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What is 7(y-5)+3y=10(y+1)
Answer:
no solution
Step-by-step explanation:
Erin and Aimee are each responsible for mowing half of their back yard. the yard is rectangular with dimensions 75 feet by 90 feet. Erin starts mowing the corner, gradually working her way towards the middle by mowing concentric bands around the outside edges. If the mower cuts a three foot wide path, at what point should Erin and Aimee stop mowing?
Answer:
Erin should stop at three and a half rounds.
Step-by-step explanation:
One complete round will mow 954 square feet, the total area that she has to mow 3375 square feet. If she goes around three and a half times, she should be finished and stop. This was quite hard to figure out, and may very well be incorrect in some way, but I hope this helps.
Jordan uses 3 lemons to make 1 pitcher of lemonade. He makes 4 pitchers. How many lemons does
he use altogether?
Answer:
12 Lemons
Step-by-step explanation:
3 x 4= 12
The sum of three consecutive even integers is –78. What are the integers?
Describe how you would use the strategy of writing an equation to solve the given problem.
hiya! i've been swamped on this question for a good bit now. i know what the answer is, but i'm not sure how to get there. Why are my integers n, n+2, and n+4? how do you find out those are the ones that you need to use? what's n? how does it work out the way it does? why and how do i get this answer? i just don't understand the process or the mind behind it and i need it to be broken down for me. Thank you!!
Step-by-step explanation:
(Hope this explanation can ease your mind a little if possible! Alright let's go! :D)
Let n be the middle of the 3 consecutive even integers. Therefore, (n - 2) and (n + 2) are the smallest and largest of the 3 numbers respectively.
We know that (n - 2) + n + (n + 2) = 78,
so 3n = 78, and n = 78/3 = 26.
Since the middle number is 26, the smallest number is 26 - 2 = 24 and the largest number is 26 + 2 = 28.
Feel free to comment below if you have any queries!
what is -2x+5>11 graphed out on a number line?
Step-by-step explanation:
-2x>11-5
x<6/-2
x<-3
Make sure the circle in the number line isnt coloured in!
There are ten pieces of pizza. Anthony ate 1 16 of the pizza for dinner. He ate 7 20 of the pizza for a bedtime snack. How much of the pizza has he eaten in all?
Answer:4 ⅛ pieces of pizza
Step-by-step explanation:
Get lcm of 16 and 20 which is 80
5/80+28/80=33/80
80/80=10
33/80
33/80×10÷80/80=4⅛
Convert the number to scientific notation. 1,850,000
Answer:
1.85 x [tex]10^{6[/tex]Step-by-step explanation:
Find the slope of the line:
80
75
70
65
60
55
50
45
40
35
30
25
20
15
10
S
1
3
6 7 8 9 10
-10 -9 -8 7 6 5 4 3 2 -1
5
10
15
20
What is the answer to the equation 3.9x + 0.3 = 12
3.9x + 0.3 = 12
The answer is X=3
Answer:
The answer is X=3
Step-by-step explanation:
Explain in your own words how to solve a one-step equation.
Answer:
Solve the problem by taking whats preformed on the variable, inverse it getting the variable by itself.
a) (+7) + (+7) + (+7)
express your answer as a forme of multipication.
Answer:
+7 * 3.
Step-by-step explanation:
There are 3 +7's and they are added together which is equal to +7 * 3.
Total is 21.
is 2/5-(-5/6) a positive, negitive, or zero
Answer:
Positive
Step-by-step explanation:
[tex]\frac{2}{5}-(-\frac{5}{6})[/tex]
Remember, a number minus the negative of a number would be equal to that first number plus that second number but not negative. In other words:
a - (-b) = a + b
So:
[tex]\frac{2}{5}-(-\frac{5}{6})=\frac{2}{5}+\frac{5}{6}[/tex]
The sum of two positive numbers would be a positive number. Because of this, we can see that the value would be positive.
I hope you find my answer and explanation helpful. Happy studying. :)
Hello! Im stuck on this math question. The two triangles displayed are scaled copies of one another. the first question is "What is the scale factor?" the second question is "what is the value of x? "
Answer:
scale factor = 2.5
x = 10
Step-by-step explanation:
to find the scale factor, divide 10 by 4.
use the answer and divide it by 25 :)
________
10÷4=2.5
25÷2.5=10
The scale factor is 2.5 and the value of x will be 10.
What is a scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. The scale factor is the ratio of the scaled size to the original size.
Given that one triangle has the sides x and 4 and another has 25 and 10.
The scale factor will be calculated as below:-
Scale factor = 10 / 4
Scale factor = 2.5
Use the answer and divide it by 25. The value of x will be calculated as below:-
x = 25÷2.5
x = 10
Therefore, the scale factor is 2.5 and the value of x will be 10.
To know more about scale factors follow
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#SPJ2
5+5 get it right and whats 5x2
Answer:
5+5=10 and 5x2=10
Step-by-step explanation:
5+5 would equal 10 because if you have 5 apples and add 5 more you have 10 apples and if you have 5 dollars and you get 5 more dollars for doing chores than you have ten dollars now.
40 points: how do u calculate this and what is sin, cos and what is the formula
Answer:
B.
Step-by-step explanation:
sin∅ = opposite side over hypotenuse
cos∅ = adjacent side over hypotenuse
To find x, there are multiple ways:
tan72° = 6/x
x = 6/tan72°
cos72° = x/15
15cos72° = x
Identify the domain, range and codomain of the graph. Then use the codomain and range to determine whether the function is into.
Answer:
2.5
Step-by-step explanation:
Given the function h(x)=1/5x-7 find 3•h(60)
Answer:
15
Step-by-step explanation:
First find h (60)
Let x= 60
h(60)=1/5 *60-7
=12-7
= 5
We want to find 3 •h(60)
3 * 5
15
You have 4 white marbles and 5 black marbles. What would be the ratio for pulling out a black marble from the bag? 5:4 or 5:9?
y= -2x+34 simplified
To be honest I am not sure
Good Luck Sorry if it is wrong.
Hey there!
[tex]Answer:\boxed{x=\frac{-1}{2}y+17}\boxed{y=-2x+34}[/tex]
[tex]Explanation:[/tex]
[tex]y=-2x+34[/tex]
flip the equation.
[tex]-2x+34=y[/tex] flip the equation.
Now add -34 to both sides of the equation.
[tex]-2x+34+-34=y+-34\\-2x=y-34[/tex] add -34 to both sides of the equation.
In our third/last step, we will divide both sides of the equation by -2.
[tex]\frac{-2x}{-2}=\frac{y-34}{-2}[/tex] divide both sides of the equation by -2.
[tex]x=\frac{-1}{2}y+17[/tex] The answer to your equation.
There is nothing to solve for y because the equation was equal to y.
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
In right triangle ABC shown below, what is the
degree measure of ZC ?
Answer:
90+30=120
180-120=60 this is degree measure
The table below shows all of the possible outcomes for rolling two six-sided number cubes.
Second Number Cube
2 3 4 5 6
1
1
2.
3
Cube
First Number
1.1 1.2 1.3 1.4 1.5 1.6
2.1 2.2 2.3 2.4 2.5 2.6
3.1 3.2 3.3 3.4 3.5 3.6
4.1 4.2 4.3 4.4 4.5 4.6
5.1 5.2 5.3 5.4 5.5 5.6
6.1 6.2 6.3 6.4 6.5 6.6
4
5
6
How many possible outcomes are there?
6
12
Answer: 36
Step-by-step explanation:
A pet store has 1
15 fish
Answer:
thats a lot of fish
Step-by-step explanation:
owo
Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F (5,5) to G (−3,−1).
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
F (5,5) , G (−3,−1)
The distance between them is
[tex] |FG| = \sqrt{( {5 + 3})^{2} + ({5 + 1})^{2} } \\ = \sqrt{ {8}^{2} + {6}^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
10 unitsHope this helps you
Distance formula: d = √(x2-x1)²+(y2-y1)²
= √(x2-x1)²+(y2-y1)²
= √(-3-5)²+(-1-5)²
= √-8²+(-6)²
= √64+36
= √100
= 10
Best of Luck!
Mike received a check for $215. He deposits all the money into his bank account and his new balance is $2,184. What his balance before he made the deposit?
Answer:
2599
Step-by-step explanation:
2,814-215 = 2599
Simplify the expression -2(3x-9)
Answer:
-6x+18
Step-by-step explanation:
you multiply -2 by the numbers in the bracket
Can someone help me figure this out? -2(x+8)=6x+8
Answer:
x = -3
Step-by-step explanation:
First, distribute:
-2x - 16 = 6x + 8
Then, switch the numbers to one side, and switch the variables to another:
-2x - 6x = 8 + 16
Then, simplify:
-8x = 24
Finally, divide -8 on both sides:
We got x = -3
And we're done!
What is true about triangle LMN? Check all that apply.
LM ⊥ MN.
The triangle is scalene.
The triangle is equilateral.
The triangle is isosceles.
The triangle is a right triangle.
Answer:
The triangle is isosceles.
Step-by-step explanation:
WHY?:
An Isosceles Triangle will have both 2 equal sides and 2 equal angles.
A Equilateral Triangle will have 3 equal sides and 3 equal angles.
A Scalene angle is when all 3 sides have different lengths.
and
A right triangle will have a 90 degree angle.
In triangle LMN, LM is perpendicular on side MN. So that, the triangle LMN is right angle triangle.
To understand more, check below explanation.
Types of triangle:A triangle whose all three sides has different length known as scalene triangle.
A triangle in which all three sides are equal in length known as equilateral triangle.
A triangle in which two sides are equal are known as isosceles triangle.
A triangle in which one angle is 90 degrees known as right angle triangle.
Since, In traingle LMN, LM is perpendicular on MN. Therefore, LMN is right angle triangle.
Learn more about the triangles here:
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How do you find the slope of a line? T H A N K Y O U !!!!
Answer:
Rise over run
Step-by-step explanation:
Round the decimal below to the nearest thousandth. 520.4681
Answer:
520.468
Step-by-step explanation:
round up to the thousandths place :)
Answer:
Step-by-step explanation:
520.468
