Answer:
[tex]$\frac{1}{1029} $[/tex]
Step-by-step explanation:
[tex]$\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $[/tex]
[tex]$\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $[/tex]
[tex]$\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $[/tex]
[tex]$\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $[/tex]
[tex]$\frac{\frac{1 }{343} }{3} $[/tex]
[tex]$\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $[/tex]
[tex]$\frac{1}{1029} $[/tex]
Find the distance between (-8,-2) and (6,-1) round to the nearest hundredth
Answer:
14.04Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(6+8)^2+(-1+2)^2}=\sqrt{14^2+1^2}=\sqrt{197}=14.035668...\approx14.04[/tex]
The distance is 14.03.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. To derive the formula, let us consider two points in 2D plane A(x1,y1), and B(x2,y2).
Assume that 'd' is the distance between A and B.
d= √(x2 - x1)² + ( y2 - y1)²
Given coordinates:
(-8,-2) and (6,-1)
Using distance formula,
=√(6+8)² + ( -1 +2)²
=√14²+1²
=√196+1
=√197
= 14.0356
≈14.03
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Is a cross section 2 dimensional figure or three-dimensional figure?
Answer: It is a three-dimensional figure
Step-by-step explanation:
All figures that I have seen cross-section are only three-dimensional figures because it has volume.
Jacob needs 48 ounces of tomatoes for the spaghetti sauce he is choosing between the two brands shown explain how Jacob can determine which is the better value
Answer:Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!
Im late but hope this helps anyone doing makeup work!
Brand A costs $0.37 or 37 cents per ounce and Brand B costs $0.31 or 31 cents per ounce.
We need to find the unit rate for each brand. Round to the nearest cent (hundredth).
What are ounces?The definition of an ounce is 1/16 of a pound or a very small amount of something.
According to column 1, 8 ounces of tomatoes would cost 2 dollars and 99 cents. So, the cost of one ounce of tomatoes can be calculated as follows.
When the cost of one ounce of tomatoes is rounded off to the nearest cent, it can be written as $0.37.
According to column 2, 16 ounces of tomatoes would cost 4 dollars and 99 cents. So, the cost of one ounce of tomatoes can be calculated as follows.
When the cost of one ounce of tomatoes is rounded off to the nearest cent, it can be written as $0.31.
Therefore, Brand A costs $0.37 or 37 cents per ounce and Brand B costs $0.31 or 31 cents per ounce.
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Complete question:
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes.
A 2-column table with 2 rows. Column 1 is labelled Brand A with entries 8 ounces, 2 dollars and 99 cents. Column 2 is labeled brand B with entries 16 ounces, 4 dollars and 99 cents.
Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
You are getting ready for your graduation party so you by eight cases of soda each case has 24 cans of soda and each can hold 12Fluid ounces. How many gallons of soda did you purchase
Answer:
18 gallons
Step-by-step explanation:
From the information given, first you have to find the amount of cans that were bought and the total amount of fluid ounces:
8 cases of soda*24 cans= 192 cans
1 can → 12 fluid ounces
192 cans → x
x= 2,304 fluid ounces
Now, you have to find the amount of gallons that you purchased considering that there are 128 fluid ounces in 1 gallon:
1 gallon → 128 fluid ounces
x ← 2,304 fluid ounces
x=(2,304*1)/128= 18 gallons
According to this, the answer is that you purchased 18 gallons.
Sue's meal cost $35. If she left a tip that was 15% of her bill, how much was the tip? *Plz explain your answer*
Answer:
$5.25
Step-by-step explanation:
To find the percentage of something, we can simply multiply it by its decimal equivalent. 15% means that it is 15/100 of the bill, because percent is out of 100, and 100% of it, is just the original ($35). To convert to a decimal we divide 15 by 100, which gives u: 0.15
It is still 15%, it is just now out of 1.
1 is 100%, which makes sense because 35x1=35
So, to find %15, we can do 35x0.15=5.25
Sue left a tip of $5.25
Alternatively, (but ultimately the same method), you can start by dividing 35 by 100 to get 1%. 35/100=0.35, 0.35 is 1% of 0.35
And then just multiply that 1% by 15 to get 15%
0.35 (the 1%) x 15 = 5.25 (15%)
Hope this helped!
Feel free to ask any other questions :)
The absolute value of a number is
Answer:
The absolute value of a number is always positive. So that means you circled the correct one. GOOD JOB!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
absolute value will always be positive
Given the triangles below what congruence theorem would prove that the two triangles were congruent.
Help me out don’t really get this stuff that much
Answer:
19
Step-by-step explanation:
Answer:
19 birds
Step-by-step explanation:
a flock of 9 geese=19
10+19=19 birds
What is the length of DT where D(-6-2) and T(7-8)
Answer:
[tex] d = \sqrt{205} [/tex]
Step-by-step explanation:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(-8 - (-2))^2 + (7 - (-6))^2} [/tex]
[tex] d = \sqrt{(-6)^2 + 13^2} [/tex]
[tex] d = \sqrt{36 + 169} [/tex]
[tex] d = \sqrt{205} [/tex]
Answer:
√205
Step-by-step explanation:
Plug into distance formula
Transformations are specific type of function. What type of function are they?
Jordan and Roman travel the same route to work. Jordan leaves for work one morning and drives at a rate, r, of 56 mph. Roman leaves the house soon after, when Jordan has already traveled 2 mi. Roman drives at a rate of 60 mph. How long after Jordan leaves home will Roman catch up to her? How many miles into their commute will this occur? Which system of equations models this problem?
Answer: option C
d = 56t
d = 60t - 2
Step-by-step explanation:
Answer: d = 56t
d = 60t – 2
Step-by-step explanation:
Edginuity 2021
Find the length of the segment. Round your answer to the nearest tenth.
Answer:
The length of the line segment: 5.8 units
Step-by-step explanation:
To find the length of a line segment, you must us the formula:
D=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1. well, you must first identify your coordinates
Point A is (-2, -4) which is ([tex]x_1[/tex], [tex]y_1[/tex])
Point B is (1, 1) which is ([tex]x_2[/tex], [tex]y_2[/tex])
2. Now you put these coordinates into your equation
D=[tex]\sqrt{(1--2)^2+(1--4)^2}[/tex]
Ofc, you gotta keep in mind of any double negatives
D=[tex]\sqrt{(1+2)^2+(1+4)^2}[/tex]
3. simplify
D=[tex]\sqrt{(3)^2+(5)^2}[/tex]
D=[tex]\sqrt{9+25}[/tex]
D=[tex]\sqrt{34}[/tex]
The square root of 34 is 5.83095189.... in decimal form
4. Round it to the nearest tenth
5.83 and since 3 is lower than five, it does nothing
5.8= The length of your line segment!
Evaluate the expression:
(5/7)³ = ?
Answer:
125 over 343 as a fraction and 0.364431 as a decimal
Step-by-step explanation:
hope this helps dont know if its right
Answer:
125/343
Step-by-step explanation:
(x+9)(x+2)=4(x+9) what is the value ofx
Answer:
x = - 9, x = 2
Step-by-step explanation:
Given
(x + 9)(x + 2) = 4(x + 9) ← expand factors on left using FOIL
x² + 11x + 18 = 4x + 36 ( subtract 4x + 36 from both sides )
x² + 7x - 18 = 0 ← in standard form
(x + 9)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 2 = 0 ⇒ x = 2
Round 34,971.22 to the hundreds place.
Answer:
35000
Step-by-step explanation:
Since all numbers above 50 round to a hundred, we see that the number 34,971.22 has the tens digit over 5. We can then round this to 35,000.
1, 5, 14, 30, 55, __,__
Answer:
91, 140
Step-by-step explanation:
hope this helps
What are the coordinates or point C on directed line segment AC, with A(2,-1) and C(x,y), or which point B(4,2) partitions the segment ina ratio o 1:3?
Answer:
[tex]C(x,y) = (\frac{10}{4},\frac{-1}{4})[/tex]
Step-by-step explanation:
Given
[tex]A(x_1,y_1) = (2,-1)[/tex]
[tex]B(x_2,y_2) = (4,2)[/tex]
Required
Partition = 1:3
Here, we'll make use of the following formula:
[tex]C(x,y) = (\frac{nx_1 + mx_2}{m + n},\frac{ny_1 + my_2}{m + n})[/tex]
Where
[tex]m:n = 1:3[/tex]
Substitute values for m,n,x1,x2,y1 and y2
[tex]C(x,y) = (\frac{3 * 2 + 1 * 4}{1 + 3},\frac{3 * -1 + 1 * 2}{1 + 3})[/tex]
[tex]C(x,y) = (\frac{10}{4},\frac{-1}{4})[/tex]
Onsider the provided information. Let the original price is p. Now it is given that we need to write an expression that the original price p of an item less a discount of 35%
Given :
Original price , P .
Discount given , 35 % .
To Find :
The final discounted price of the object .
Solution :
Let final price is x .
Now , x = p - (35% of p) .
[tex]x=p-\dfrac{35}{100}p\\\\x=0.65p[/tex]
Therefore , final price of the object is 0.65p ,
Hence , this is the required solution .
How do I simplify an expression with more than one variable? Sorry about my last question, I didn't realize how blurry it was
Answer:
1. remove parantheses by multiplying factors
2. use exponent rules to remove parentheses in terms with exponents
3.combine like terms by solving coefficients
4.combine the coefficients
Is it your required answer?
We learn from mistakes.so don't worry
A PHN is studying the rate of H1N1 in the community. If there are five cases of H1N1 in the community of 1,000 people, what is the prevalence rate?
Answer:
0.5%
Step-by-step explanation:
The prevalence rate shows the proportion of people that have a disease in a population and to be able to calculate it, you have to divide the number of people that have a disease by the population:
Prevalence rate=(5/1,000)*100
Prevalence rate=0.005*100
Prevalence rate=0.5%
According to this, the answer is that if there are five cases of H1N1 in the community of 1,000 people, the prevalence rate is 0.5%.
Which proportion can be used to show the slope of JL is equal to the slope of Mp?
Answer:
See below
Step-by-step explanation:
As per the graph we have:
Coordinates of JL are J(-7, 4), L(-4, 0)Coordinates of MP are M(-10, 8), P(-1, -4)Slope formula is:
m = (y₂ - y₁)/(x₂ - x₁)Slope of JL:
(0 - 4)/(-4-(-7)) = - 4 / 3Slope of MP:
(-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3Answer:c
Step-by-step explanation:
The area of a square field is 625 square meters. What is the perimeter of the field?
Area = side squared
625 = side squared
side = sqrt 625
side = 25 m
perimeter = 4 x side
perimeter = 100 m
Answer:
100 meters
Step-by-step explanation:
In order to calculate the perimeter, we must have the side length.
The area of a square can be found using the following formula.
[tex]a=s^2[/tex]
We know the area is 625 square meters. We can substitute 625 m² in for a.
[tex]625 m^2=s^2[/tex]
We want to find the side length, s. Therefore, we must isolate s. s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{625m^2}=\sqrt{s^2}[/tex]
[tex]\sqrt{625m^2}=s[/tex]
[tex]25 m=s[/tex]
The perimeter of the square can be found using the following formula.
[tex]p=4s[/tex]
We know the side length is 25 meters. We can substitute 25 m in for s.
[tex]p =4*25m[/tex]
Multiply.
[tex]p=100m[/tex]
The perimeter of the field is 100 meters.
If V is the midpoint of segment WX and X (-8,6) and Vis (-3,4) what are the coordinates of W?
The answer is W (2,2) because you multiply the coordinates of the midpoint by 2 and then get the coordinate of W
what is the answer to 2x+4x=x+3?
Answer:
x=3/5
Step-by-step explanation:
2x+4x=x+3
6x=x+3
5x=3
x=3/5
Answer: [tex]x=3/5[/tex]
Simplify both sides of the equation
[tex](2x+4x)=x+3[/tex] (Combine Like Terms)
[tex]6x=x+3[/tex]
Subtract x from both sides
[tex]6x-x=x+3-x\\5x=3[/tex]
Divide both sides by 5
[tex]5x/5=3/5\\x=3/5[/tex]
if i have 2 dogs and 3 cats how many animals do i have
Answer:
5 animals
Step-by-step explanation:
2 + 3 = 5
hope this helps you :)
can you friend me again I accidentally unfriended you :)
pls mark me brainlest ;)
The difference between a number 12 is 20
Answer:
If you mean "the difference between a number AND 12 is 20" the x-12=20
Step-by-step explanation:
"difference" means subtraction and "and" indicates where that sign goes. "is" means "=".
HELP!!!!! will mark brainliest
Answer:
its the second and the 3rd one I think
Step-by-step explanation:
Answer:
A and C is correct
Step-by-step explanation:
I hope this helps you :)
-KeairaDickson
Solve x2 - 2x + 1 = 0 by using factored form . What solutions do you get
Answer:
x=3.21 in fraction x=e+1/2
Step-by-step explanation:
is ✓4 + 5 rational or irrational
Answer: its rational since there is no irrational no in the denominator
Step-by-step explanation:
The variable n represents the number of bikes in a shipping container. The weight of the container in pounds, including the bikes, can be modeled using the expression 250+23(n−1). How much will the container weigh with 20 bikes in it?
Answer:
678
Step-by-step explanation:
250 + 23 (20 - 1 )
Replace the n with 20 Bc n is the number of bikes
250 + 23 (20 - 1 )
Do the parentheses
250 + 23 (19)
Multiply the 23 by 19
250 + 437
Add both numbers
The required weight of the 20 bikes in the container is 687 pounds.
An expression regarding relative weight between the bike-containing container is given 250+23(n−1), where n represents the number of bikes and the whole equation gives the cumulative weight of the bikes.
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,
The given expression is 250+23(n−1),
Now, put n = 20 According to the question,
Wight = 250 + 23 (20 - 1)
Weight = 250 + 23 * 19
Weight = 687.
Thus, the required weight of the 20 bikes in the container is 687 pounds.
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