Answer:
3^5
Step-by-step explanation:
3^3*3^4 ÷3^2
27*81÷9
27*9
243=
3^5
From the exponent's formula, the simplified form of the given question [tex]3^{2} \times 3^{4} \div 3^{2}[/tex] is 243.
What is the exponent's formula?Exponents formulas help solve exponents represented by [tex]\rm x^{n}[/tex] multiplying by itself n times. here, x is called the base and n is the exponent or power. [tex]\rm x^{n}[/tex] is read as x raised to the power of n.
The formula required
[tex]\rm a^{x} \times a^{y} = a^{x+y}[/tex]
[tex]\rm a^{x} \div a^{y} = a^{x-y}[/tex]
So, by applying the above exponent's formulas
[tex]3^{3} \times 3^{4} \div 3^{2}\\= 3^{3+4} \div 3^{2}\\= 3^{7} \div 3^{2}\\= 3^{7-2} \\= 3^{5} \\= 243[/tex]
Hence, the simplified form of the given question [tex]3^{2} \times 3^{4} \div 3^{2}[/tex] is 243.
Learn more about the exponent's formula here:
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A fireplace arch is to be constructed in form of a semiellipse. The opening is to have a height of 2 feet at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string along the base in order to sketch the outline of the semiellipse.
1. What is the total length of the string?
2. How far from the center should the string be nailed into the base?
Answer:
The total length of the string is 7.85 feet and the center should be 2.236 feet far the string be nailed into the base
Step-by-step explanation:
Circumference of ellipse = [tex]\pi(a+b)[/tex]
Circumference of semi-ellipse = [tex]\frac{\pi(a+b)}{2}[/tex]
we are given that The opening is to have a height of 2 feet at the center and a width of 6 feet along the base.
So, [tex]a = \frac{6}{2}=3 , b = 2[/tex]
Circumference of semi-ellipse =[tex]\frac{3.14(3+2)}{2}=7.85 feet[/tex]
Distance from center =[tex]\sqrt{a^2-b^2}=\sqrt{3^2-2^2}=2.236 feet[/tex]
Hence the total length of the string is 7.85 feet and the center should be 2.236 feet far the string be nailed into the base
The length y of a rectangle is four less than three times the width x. The perimeter of the rectangle is 16 cm. Write a system of equations to represent this situation and find the dimensions of the rectangle. PLEASE PLEASE HELP MEEE IF I DONT ANSWER IM GOING TO GET KICKED OUT OF THE COURSE PLEASEEEEE HELPP
Answer:
L=5
w=3
Step-by-step explanation:
Length = 3x+4
2L+2W=16
plug in 3x+4 into L
2(3x+4)+2x=16
6x-8+2x=16
6x+2x=16+8
then just do basic algebra
8x=24
divide 24/8
x=3 is the width
5 is the length
L=5
w=3
use the graph to find the missing value of each point.
(6,___) (3,___) (___,7)
what’s the slope please help me
Answer:
-1
Step-by-step explanation:
The slope goes down 1 as it goes over (to the right) 1
Answer:
-1 would be the slope.
Step-by-step explanation:
Using rise over run, the slope would be -1.
5+5+5+5+5= what please help me I know this answer
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
5 + 5 + 5 + 5 + 5 aka 5 × 5 = 25
PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER!!
Answer:
137 degrees
Step-by-step explanation:
so you have the degrees of both angles, now all you need to do is add them
What are the two whole number the square root 41 lies between?
Answer:
6 and 7
Step-by-step explanation:
The square root of 41 is about 6.403
6 and 7 are the closest whole numbers
Please help!!! Use the digital to answer the question above
Answer: 16
Step-by-step explanation: The angles are equal so x+24 = 3x-8
One fifth of r is fifteen what is r
Answer:
75.
Step-by-step explanation:
r = 15
r = 1/5 of x
15*5=75
x = 75
if f(x)= -6x + 2, what is f(-1)
Answer:
f(-1) = 8
Step-by-step explanation:
Step 1: Define
f(x) = -6x + 2
f(-1) is x = -1
Step 2: Substitute and Evaluate
f(-1) = -6(-1) + 2
f(-1) = 6 + 2
f(-1) = 8
Answer:
8
Step-by-step explanation:
Substitute -1 for x
-6(-1) + 2
Simplify
6+2
Simplify
8
The following expression represents the population of colony of penguins in Antarctica: P,= 17.2.3 P, is the penguin population, and r is time in days. a. What is the population after 6 days? b. When will P, be 650 penguins?
Help please :( find x
Answer:
x = 33
Step-by-step explanation:
The sum of a quadrilateral adds up to 360°.
Step 1: Set up equation
98 + 98 + 98 + 2x = 360
Step 2: Solve for x
Combine like terms: 294 + 2x = 360Subtract 293 on both sides: 2x = 66Divide both sides by 2: x = 33(15)x(-1)= Pleazzzzz HELP I WILL MAKE BRAINLEAST
Answer:
-15
Step-by-step explanation:
Note the rules when multiplying or dividing numbers with signs.
IF:
1) You are multiplying or dividing with two negative numbers, your answer will be positive.
2) You are multiplying or dividing with one negative and one positive number, your answer will be negative.
3) You are multiplying or dividing with two positive numbers, your answer will be positive.
Note that there is one negative term (-1) and one positive term (15). Multiply. Follow rule 2:
15 x -1 = -15
-15 is your answer.
~
1. You spent $10 to buy 5 vases, how much does one vase cost? *
1 point
$1
$2
$5
$50
Answer:
$2
Step-by-step explanation:
if you divide 10 by 5 you get 2
Answer:
Each vase would cost 2$. 10 divided by 5 is 2 therefore each vase is 2$.
Step-by-step explanation:
Graph the inequality.
y2-3x+4
Zelda is buying a new
television that is normally
$155.60. The television is on
sale for 40% off. What will
Zelda's cost be for the
television?
Answer:
$93.36
Step-by-step explanation:
First subtract 40 from 100 to find how much of the total cost is left. Then multiply 60% or .6 by the total to get your answer. Hope this helps!
Answer:
$93.36
Step-by-step explanation:
What is the slope of this function?
slope = (y2-y1)/(x1-x2)
=(20-8)/(2-1)
=12/1
m = 12
The slope of the given function is 12.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
In this case, we are given three points:
Point 1: (x = 1, y = 8)
Point 2: (x = 2, y = 20)
Point 3: (x = 3, y = 32)
The slope of the function is calculated by the formula given as;
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope =(20-8)/(2-1)
=12/1
Slope = 12
The slope is 12.
To know more about slopes ;
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please help will mark brainliest
Answer:
109
Step-by-step explanation:
alternate exterior angles
Which expression is equivalent to -3x(x – 4) – 2x(x + 3)?
A. -x2 – 1
B. —x2 + 18x
C. -5x2 – 6x
D. -5x2 + 6x
PLEASE HELP
Answer:
x2 – 2x + 6
Step-by-step explanation:
Answer:
x2 – 2x + 6
Step-by-step explanation:
please help me I would also like an explanation
Answer:
k = 45*
2k = 90*
Step-by-step explanation:
K will be the same as the 45* degrees, as it is across from it.
2k is twice k, which is 90*.
45* + 45* + 90* = 180*
Good luck!
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER!!
Answer:
The answer to that problem would be 116 degrees.
Step-by-step explanation:
Since Angles JKM and MKL are adjacent angles, they add up to the measure of Angle JKL. To figure out the angle measure of JKM, you subtract 39 (the measure Angle MKL) from 155 (the measure of JKL). Hopefully, this helps :).
“What does x=?” need help w this rq and an explanation if u have time
Answer:
Step-by-step explanation:
.
Answer:
-.3
We were just learning these :)
Step-by-step explanation:
So let's start with the whole equation:
10 - 4x + 6 - 2x = -2x
First, combine like terms:
16 - 6x = -2x
Next, add 16 to both sides:
16 + 16 = cancels out and -2x + 16 = 14
6x = -2x
Now, divide 6 on both sides:
6 / 6 = cancels out and -2x / 6 = -.3
x = -.3
Really hope this is right!
Byron bought 3.6 cubic yards of soil for his yard. Each cubic yard of soil costs $23.50. How much did Byron spend?
Answer:
$84.60
Step-by-step explanation:
Multiply, since Bryon bought 3.6 cubic yards of soil and each cubic of yard cost $23.50. 3.6 x 23.50 = 84.6
Pls help if you can! Thank you!
Answer:
56.25 ft
Step-by-step explanation:
If it is a square room, it will have four walls so...
We divide 225 by 4 and get 56.25
Hope this helped!
Which Statement best describes the data set represented by this box-and-whisker plot?
Answer:
C
Step-by-step explanation:
The middle of the plot falls at 9, making this statement true. None of the others make sense. Good luck!
What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18 ? (1 point)
Add 3 to both sides
Subtract 18 from both sides
Multiply both sides by 3
Divide both sides by 4
Answer:
Divide both sides by 4
Step-by-step explanation:
Answer:
i just took the test and it was divide by 4 sides
Step-by-step explanation:
Points J, K and L are collinear with J between L and K. If KJ = 2x-3, LJ= 4x-8, solve for x:
A. 6
B.-6
C.-4
D. 4
PLEASE EXPLAIN
Your question is incomplete, here is the complete form.
Points J, K and L are collinear with J between L and K. If KJ = 2x - 3, LK = 9x + 7 and LJ = 4x - 8, solve for x:
Answer:
The value of x is -6 ⇒ B
Step-by-step explanation:
∵ J, K, and L are collinear
→ That means they form a straight segment
∵ J is between K and L
→ That means J divides LK into two segments KJ and LJ
∴ LK = KJ + LJ
∵ LK = 9x + 7
∵ KJ = 2x - 3
∵ LJ = 4x - 8
→ Substitute them in the equation above
∴ 9x + 7 = (2x - 3) + (4x - 8)
→ Add the like terms in the right side
∵ 9x + 7 = (2x + 4x) + (-3 - 8)
∴ 9x + 7 = 6x + -11
∴ 9x + 7 = 6x - 11
→ Subtract 7 from both sides
∵ 9x + 7 - 7 = 6x - 11 - 7
∴ 9x = 6x - 18
→ Subtract 6x from both sides
∵ 9x - 6x = 6x - 6x - 18
∴ 3x = -18
→ Divide both sides by 3
∵ [tex]\frac{3x}{3}=\frac{-18}{3}[/tex]
∴ x = -6
∴ The value of x is -6
The value of x for the given problem comes to be -6.
KJ = 2x-3
LJ= 4x-8
LK = 9x+7
What are collinear points?Points that are part of a straight line are called collinear points.
Points J, K, and L are collinear so they will be in a straight line.
So, KJ + LJ = LK
(2x-3) + (4x-8) = (9x +7)
6x - 11 = 9x + 7
-3x = 18
x= -6
Therefore, the value of x for the given problem comes to be -6.
To get more about lines and points visit:
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What is the value of the expression below? - 1/2 + 3 1/2
Answer:
It will be 3 :)
Step-by-step explanation:
Try using desmos calculator when it comes to math ;)
3. Sophie solved the inequality
as shown. Explain Sophie's error
and give the correct solution to
the inequality.
-5(x - 1) > -7x + 19
-5X - 5 >-7x +19
2x - 5 > 19
2x > 24
X>12
Answer:
After she distribute the [tex]x[/tex] and [tex]-1[/tex] by [tex]-5[/tex], the after you get [tex]-5x - 5 > -7x + 19[/tex], she put a negative [tex]5[/tex] instead of a positive [tex]5[/tex], and would be written as[tex]-5x + 5 > -7x + 19[/tex].
Step-by-step explanation:
Solve the inequality for the correct solution:
[tex]-5(x - 1) > -7x + 19[/tex]
-Use Distributive Property:
[tex]-5(x - 1) > -7x + 19[/tex]
[tex]-5x + 5 > -7x + 19[/tex]
-Take [tex]7x[/tex] and add it to [tex]-5x[/tex]:
[tex]-5x + 5 + 7x > -7x + 7x + 19[/tex]
[tex]2x + 5 > 19[/tex]
-Subtract [tex]5[/tex] to both sides:
[tex]2x + 5 - 5 > 19 - 5[/tex]
[tex]2x > 14[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} > \frac{14}{2}[/tex]
[tex]\boxed {x > 7}[/tex]
What is 62% of 500 ? ?
Answer:
310
Step-by-step explanation:
Answer: 310
Step-by-step explanation: 2% equals 10, so just keep counting up until you get 62%.
Hopefully this helped! :D