9 * 9 * 9 = 729. This is also an exponent 9^3.
When you determine the powers you need to multiply the number itself how many times the power says to multiply.
9 raised to the power of 3 is equal to 729.
Given that we need to find that what is 9 to the power of 3.
To calculate 9 to the power of 3, we need to multiply 9 by itself three times.
In mathematical notation, it is written as 9³.
First, we start with 9 and multiply it by itself:
9 × 9 = 81
Next, we multiply the result by 9 again:
81 × 9 = 729
In simpler terms, it means that if you multiply 9 by itself three times, you get the result of 729.
Therefore, 9 raised to the power of 3 is equal to 729.
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What is thw radius of a circle given by the equation x^2+y^2-2x+8y-47=0
x^2 + y^2 - 2x + 8y - 47 = 0
x^2 + y^2 - 2x + 8y = 47
(x^2 - 2x) + (y^2 + 8y) = 47
(x^2 - 2(1)x) + (y^2 + 2(4)y) = 47
(x^2 - 2(1)x + 1^2) + (y^2 + 2(4)y + 4^2) = 47 + 1^2 + 4^2
(x - 1)^2 + (y + 4)^2 = 64 = 8^2
r=8
Distribute and simplify the radicals below
2√3*(2√+√3)
Given expression: [tex]2\sqrt{3} *(\sqrt{2}+ \sqrt{3})[/tex].
We need to distribute and simplify.
We have 2√3 in front of paranthesis.
We need to distribute 2√3 over paranthesis.
2√3*(√2+√3) would give : 2√3 * √2 + 2√3 * √3.
We need to multiply radical numbers inside radicals and outside number by outside number.
On simplifying, we get
2√6 + 2 * 3 = 2√6 + 6.
Therefore, final answer is 6+2√6.
Answer:
6+2√6
Step-by-step explanation:
D on edg
you make dog collars and anticipate selling all of them at a craft fair you spent $85 for materials and hope to make a $90 profit how much should you charge for each collar
To cover costs and achieve a $90 profit, each collar should be sold for $175 divided by the number made.
To determine the selling price for each dog collar, we need to consider both the cost of materials and the desired profit.
1. **Calculate total cost**:
- Cost of materials: $85
- Desired profit: $90
Total cost = Cost of materials + Desired profit
= $85 + $90
= $175
2. **Determine number of collars**:
Since you anticipate selling all the collars, the total profit should cover the cost of materials and the desired profit.
3. **Calculate selling price per collar**:
Divide the total cost by the number of collars to determine the selling price for each collar.
[tex]\[ \text{Selling price per collar} = \frac{\text{Total cost}}{\text{Number of collars}} \][/tex]
Substitute the values:
[tex]\[ \text{Selling price per collar} = \frac{\$175}{\text{Number of collars}} \][/tex]
Without knowing the exact number of collars, we can't determine the exact selling price per collar. However, if you know the number of collars you're making, you can use this formula to find the selling price for each collar.
N/3 ≤ 3
Solve the Inequality and show all work!
Answer:
n ≤ 9
Step-by-step explanation:
Step 1: Simplify both sides of the inequality
1/3n ≤ 3
Step 2: Multiply both sides by
3* (1/3n) ≤ (3)*(3)
n ≤ 9
Hope this helps :-)
A flying disc has a diameter of 9 inches. What is the circumference of the disc in inches? Round to the nearest tenth.
formula= 2(3.14)r
2(3.14)4.5
2(14.13)
28.26
A flying disc is assumed to be in the shape of a circle. Since we know it is in the shape of a circle, we can use the formula for circumference of a circle.
The formula for circumference of a circle is d * pi, where d represents the diameter of the circle and pi is the representation of 3.14.
Finding the circumference.You can find the circumference of a circle by multiplying the diameter by pi, and since the question gives us the diameter of the flying disc we can substitute in 9 inches for the diameter to solve for the circumference.
diameter * pi
(9 inches) * ([tex]\pi[/tex]) = 28.2743...
Answer to the question.The question wants the final answer to be rounded to the nearest tenth, so rounding 28.2743... to the nearest tenth would make it into 28.27.
The answer to this problem is the circumference of the disc is 28.27 inches.
find the prime factorizations foor the following numbers 36 and 84
Which of the pairs of activities is an example of using the commutative property?
A) washing the car and waxing the car
B) washing your clothes and drying your clothes
C) putting on your socks and putting on your shoes
D) adding sprite and orange juice to a punch mixture
The commutative property is illustrated by option D, where adding sprite and orange juice to a punch mixture shows that the order in which the ingredients are mixed does not affect the final product.
The commutative property primarily relates to mathematical operations like addition and multiplication, where changing the order of the numbers does not change the result. For example, in addition, 4 + 5 is the same as 5 + 4. Applying this concept to the options provided, the pair that is an example of the commutative property is adding sprite and orange juice to a punch mixture (Option D). Whether you add sprite to the orange juice or orange juice to the sprite, the resulting punch mixture remains the same.
Find AB if BC = 4, BD = 5, and AD = 2.
show your work.
Solving this system of equations without a CAS: $4=a+c$, $5=d+ac+b$, $4=ad+bc$, $4=bd$ 2
Let $A,B,C,D$ be the vertices of a four sided polygon taken in anti clockwise. Given $|AB|=|BC|=3,|AD|=|CD|=4,|BD|=5$ , Find $|AC|$ 1
Find $ad - bc$ if $ac = 18$ and $bd = 50$ 2
Multi-step: Glen finds the sum of (3 3/10 + 4 1/3) + 2 1/2 and Ana finds the sum of (4 1/3 + 3 3/10) + 2 1/10. What is the total sum if their answers?
Step-by-step explanation:
This is what I could do please
adding and subtracting mixed numbers
you add and subtract
Some of the rules of adding and subtracting mixed numbers are:
1) Change the mixed numbers into improper fractions
2) Find common denominators. Remember that what you do to the denominator you also do to the numerator.
3) Subtract
4) Answer
hope this helps
Tommy is taking inventory in a warehouse. He’s counting tennis shoes. There are 43 pairs of women’s tennis shoes and 39 pairs of men’s tennis shoes. How many pairs of tennis shoes are there in all?
72?76?80?82?
43+39=82
hope this helps!
Answer:
43 + 39 = 82
Step-by-step explanation:
amount of mens shoes plus amount of womens shoes
for the school play, 40 rows of chairs are set up. there are 22 chairs in each row. how many chairs are there in all?
Multiply the rows by the number of chairs 40×22= 880
a movie was sold out for four straight days. If 535 tickets were sold each day, how many tickets were sold in all???
F(x) = 3x + 4 for (-6)
If x = -6
Plug in -6 for x
f(x) = 3x + 4
f(-6) = 3(-6) + 4
Remember to follow PEMDAS. First, multiply
3 x -6 = -18
Finally, add
-18 + 4 = -14
f(-6) = -14
f(-6) = -14 is your answer
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~Rise Above the Ordinary, Senpai
what is 31% as a decimal
The answer is 0.31.
Change the percentage sign into a decimal and then move it two places to the left. Then add a zero in front of the decimal.
Hope this helps. =)
Gotcha!
If you put 31/100 and divide it you would get 0.31
Answer:0.31
Tip: if you need to find the decimal of a number just simply place it over 100 & divide!
Kevin has $25 . MP3 downloads cost $0.75 each . How many songs can he download and still have $13 left to spend
He can download at most 16 songs to leave $13 for himself to spend.
Use the equation $25-$0.75(x)=$13
what is the y intercept of -10x -1/2 y = 5 ?
y-intercept is when x = 0 or the b-value when in the form y = mx + b
-10x - [tex]\frac{1}{2}y[/tex] = 5
-10(0) - [tex]\frac{1}{2}y[/tex] = 5
[tex]\frac{-1}{2}y[/tex] = 5
[tex]-2(\frac{-1}{2}y)[/tex] = -2(5)
y = -10
Answer: (0, -10)
-10x - [tex]\frac{1}{2}y[/tex] = 5
+10x +10x
[tex]\frac{-1}{2}y[/tex] = 10x + 5
[tex]-2(\frac{-1}{2}y)[/tex] = -2(10x + 5)
y = -20x - 10
b = -10
Solve each system by elimination. Show ALL work!!!
3) -7x-7y=-14
2x-4y=16
Solution:
Work:
The attempt to solve the provided system of equations by elimination encountered a misunderstanding in the manipulation of the equations. A straightforward correction highlighted the importance of accurately aligning coefficients before attempting to eliminate a variable, underscoring the necessity of precise calculations in solving such problems.
Explanation:To solve the given system of equations by elimination, we start with the system:
-7x - 7y = -142x - 4y = 16Our goal is to eliminate one of the variables, either x or y. To do this efficiently, we aim to make the coefficients of either x or y the same or exact opposites. In this case, we can easily adjust the second equation to align the coefficients of y by multiplying the entire equation by a suitable number.
Multiply the first equation by 1 (effectively keeping it the same) and the second equation by 7/4 to align the y coefficients:
-7x - 7y = -14(7/2)x - 7y = 28However, there seems to be a misunderstanding in the calculation or transcription of the equations provided. Instead, let's correct the approach based on the equations listed in the inquiry.
Looking at the original system provided:
-7x - 7y = -142x - 4y = 16We see an opportunity to simplify the first equation by dividing everything by -7:
x + y = 22x - 4y = 16Now, to proceed with elimination effectively, aligning coefficients or a straightforward substitution should be re-evaluated, given the error in initial steps noted. Let's correct it:
Notice the instructional error in application; hence, a direct solution via the provided method is not feasible without the correct system alignment or revised equations. When solving similar problems, getting coefficients to align through multiplication or division is key before adding or subtracting equations to eliminate a variable.
Elimination becomes difficult with inaccurate steps, so it's crucial to double-check each phase of your work.
American Indians staged an occupation in 1969?
(options listed below)
to protest the lack of educational opportunities.
to end poverty on American Indian reservations.
to raise awareness about unfair treatment.
to convince the government to protect their lands.
The occupation staged by American Indians in 1969 was in order to to raise awareness about unfair treatment.
American Indians in 1969:
Occupied Alcatraz from 1969 to 1971.The reason they did this was to draw attention to the injustices they were subjected to and the unfair treatment of American Indian tribes by the U.S. government. This led to the federal government giving more land to them.
In conclusion, option C is correct.
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Can you list these least to greatest? It doesn’t have to be in the same form
8. -1.6, -7/8, 0.9, 6/5, 5/2
9. -16/3, -1.3, -2/3, 0.5, 5/9
Which of the following mathematical statements contains a quotient? A. 7 + 6 = 13 B. 7 × 6 = 42 C. 7 − 6 = 1 D. 42 ÷ 6 = 7
Answer:
B: 7 x 6 = 42 and the only reason that B is the answer is because a quotient is the word used for a answer when you multiply c:
Step-by-step explanation:
Determine whether the equation 2x + y = 8 is linear. If so, graph the function.
It is linear because both variables have an exponent of 1. (FYI: one of the exponents can be 0 and still be a linear equation).
2x + y = 8
-2x -2x
y = -2x + 8 ⇒ slope (m) = -2 and y-intercept (b) = 8
plot the y-intercept (0, 8). then plot the next point by counting the rise over run from the y-intercept. count 2 units down and 1 unit to the right = (1, 6).
Answer:
It is linear because both variables have an exponent of 1.
Step-by-step explanation:
What are 3 fractions that have the same product as 30/64
15/32 - .4688 - 11.9063
I'm sorry what are you asking for??
Assignment: Show Me the Sets Investigation
Karen got a bit confused in math class today when Mrs. Hudson was talking about the different subsets for classifying real numbers.
Create a visual representation of the relationships between subsets of the real number system and explain the relationships in words. Provide a real number that matches each description.
Draw a diagram to represent the relationships between subsets of the real number system. Include a sample number in each subset.
Explain the relationships in words. Use the sample numbers in your diagram and describe the classification. For example, 1/2 is a rational number, but it is not a whole number, natural number, or an integer.
Answer: Consider a power set [tex]\mathbb{R}[/tex] of real numbers.
The subsets of the power set are as follows:-
1. Natural number([tex]\mathbb{N}[/tex])={1,2,3,4,5,....}
2.Whole numbers[tex]\mathbb{W}[/tex]={0,1,2,3,4,......}
3.Integers([tex]\mathbb{I}[/tex])={.......-3,-2,-1,0,1,2,3,....}
4.Rational numbers([tex]\mathbb{Q}[/tex])=It contains all of the above subsets and fractions (where denominator ≠ 0) ,terminating and repeating decimals.
5.Irrational numbers=It contains numbers which cannot be expressed as the ratio of integers, and they are non-repeating, non-terminating decimals.
What is the value of the expression? −26−(6)2 Enter your answer in the box.
Is it −26−(6)^2? If so
−26−(6)^2
= -26 - 36
= - 62
If −26−(6)2 (means 6 times 2) then
= -26 - 12
= -38
two cars traveled equal distances in different amounts of time. car A traveled the distance in 2 hours , and car B traveled the distance in 1.5 hours. car B traveled 15 mph faster than car be what is the speed of car B
The answer is 90 I believe
Answer:
60 mph
Step-by-step explanation:
Let distance travelled by both the cars equal to d.
Also assume speed of Car A as x and speed of Car B as y
Then using distance formula,
d = 2x
Similarly for car B, d = 1.5 y
Also given that
speed of car B = speed of car A +15
y =x+15
Hence we have 2 x = 1.5 y Or x =0.75 y
Substitute in y =x+15 : y =0.75y+15
0.25y = 15
y = 15/0.25 = 60 mph
Speed of car B = 60 mph
John’s car gets 36 miles to one gallon of gas. How much gas will he use to travel 81 miles?
81 ÷ 36 = 2.25
John will use 2.25 gallons of gas to travel 81 miles
a customer bought 8.5 pounds of apples from a local produce market. how many ounces of apples did the customer buy?
A:112
B:128
C:120
D:136
please show work
To convert pounds to ounces, you can use the conversion factor of 1 pound = 16 ounces. Therefore, 8.5 pounds of apples equates to 136 ounces. The correct answer is D: 136.
Explanation:The subject of this question is mathematics. Specifically, it revolves around the concept of units conversion. To convert from pounds to ounces, we use the conversion factor that 1 pound is equivalent to 16 ounces.
Given in the question, the customer bought 8.5 pounds of apples. To find out how many ounces this translates to, we need to multiply 8.5 by 16.
The calculation is as follows:
8.5 pounds * 16 ounces/pound = 136 ounces
So, the customer bought 136 ounces of apples. Therefore, the correct answer is D: 136.
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15 points! Thanks so much!
answer is C 1410.01 mark as brainliest
Jaime puts 3 oranges on each tray. How many oranges does he put on 5 trays?