The answer is [tex]\mathsf {\frac{2}{9}}[/tex].
We are given the equation :
∛(8/729)∛8/∛7292/9Answer:
[tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sqrt[3]{\dfrac{8}{729}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]
[tex]\implies \left(\dfrac{8}{729}\right)^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]
[tex]\implies \dfrac{8^{\frac{1}{3}}}{729^{\frac{1}{3}}}[/tex]
Rewrite 8 as (2 · 2 · 2) and rewrite 729 as (9 · 9 · 9):
[tex]\implies \dfrac{(2 \cdot 2 \cdot 2)^{\frac{1}{3}}}{(9 \cdot 9 \cdot 9)^{\frac{1}{3}}}[/tex]
[tex]\implies \dfrac{(2^3)^{\frac{1}{3}}}{(9^3)^{\frac{1}{3}}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{2^{(3 \cdot \frac{1}{3})}}{9^{(3 \cdot \frac{1}{3})}}[/tex]
[tex]\implies \dfrac{2^1}{9^1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]
[tex]\implies \dfrac{2}{9}[/tex]
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X 2. Gi'shon needs to complete the expressions below to factor x2 + x - 56. 0/1 Which of the following must be true? * ( x1)x___)
F. Both expressions will include subtraction.
G. The sum of the values in the blanks should be 1. X Х
H. The product of the values in the blanks should be 56.
J. The values in the blanks will be the same number but opposite signs
Answer: gggggg
g the sum of values are 1
Step-by-step explanation: 8-7=1
The factorized form of the expression is A = ( x - 7 ) ( x + 8 ) and sum of the values in the blanks should be 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the expression be represented as A
Now , the value of A is
A = x² + x - 56
On factorizing the equation , we get
A = x² + 8x - 7x - 56
8x - 7x = 1
So , A = ( x - 7 ) ( x + 8 )
Hence , the expression is A = ( x - 7 ) ( x + 8 )
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At the Pizza place, 12% of the pizzas made last week had extra cheese. If 30 pizzas had extra cheese, how many pizzas in all were made last week?
Answer: 250
Step-by-step explanation:
Given
12% of the Pizzas had extra cheese
If those pizzas were 30 in number
Suppose, x be the total Pizzas
So, 12% of x is 30
[tex]\Rightarrow x\times \dfrac{12}{100}=30\\\\\Rightarrow x=250[/tex]
Thus, 250 Pizzas were maid last week
i need a little help with this
I need help on this math problem quickly!!
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?
The volume of the rectangular prism is 4180in^3.
What is rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".
For the given situation,
Length of the rectangular prism = 19 in
Width of the rectangular prism = 20 in
Height of the rectangular prism = 11 in
The formula for volume of the rectangular prism,
[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]
On substituting the values,
⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]
⇒[tex]V=4180[/tex]
Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].
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Two cars leave simultaneously from points A and B, the distance between which is 280 km. If the cars move to meet each other, they’ll meet in 2 hours. But if they move in the same direction, then the car going from point A will catch up with the car going from point B in 14 hours. What is the speed of each of the cars?
Answer:
Car A speed = 80 m/s
Car B speed = 60 m/s
Step-by-step explanation:
Let Speed of Car A be represented as x
Let Speed of Car B be represented as y
280 = (x+y)(2)140 = x+y --> Equation 1Let z represent the distance that Car A travels until it catches up to Car B
280+z = x(14)Since it takes 14 hours for Car B to cover the distance z,
z = 14y280+14y = 14x280 = 14(x-y)20 = x-y --> Equation 2Solving Equation 1 and Equation 2, we get:
x = y+20140 = 2y+20120 = 2yy = 60 x = y+20 = 80Answer:
Car A speed = 80 km/h
Car B speed = 60 km/h
Step-by-step explanation:
need help fast with math problem!!!!
when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?
Answer:
32 km/ hr
Step-by-step explanation:
Given that :
Speed of car = 24km/ hr
Time taken =. 80 minutes = 80 / 60 = 1.33333 hours
The distance traveled :
Speed * time
24 km/hr * 1.333333 = 32 km
Speed required to complete 32 km. Journey in 60 minutes = 1 hour
Speed = distance / time
Speed = 32 km / 1 hour
Speed = 32 km/ hr
Solve using the quadratic formula 1
Answer:
Step-by-step explanation:
Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved. I will assume that the problem is actually x^2 + 8x + 15 = 0.
The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4. Because the discriminant is positive, we know that there are two real, unequal roots.
Continuing with the quadratic formula and knowing that the discriminant is 4, we get:
-8 ± √4 -8 ± 2
x = ---------------- = --------------- , or x = -2 ± 1: x = -3 and x = -5
2 2
..
A cone has a height of 4 inches and a
circumference at the base of 121 inches.
What is the approximate volume of the cone?
Answer:
Approximately 1553.83
Math question Pls help
Answer:
B. Strong negative association
Step-by-step explanation:
It's a negative because the slope is going from left to right downwards
A chemist has a 100 gram sample of a radioactive
material. He records the amount of radioactive material
every week for 6 weeks and obtains the data in the
table below.
look at the picture please <3 i really need this asap
Answer:
75
Step-by-step explanation:
did it 5 mins ago
Find the area of the figure shown below and choose the appropriate result.
A. 96 mm^2
B. 102 mm^2
C. 90 mm^2
D. 140 mm^2
Stacy saved some dimes. Leo saved 3 times as many dimes as Stacy. If Leo saved a total of 72 dimes, how many dimes did Stacy save? Let n represent the number of dimes that Stacy saved.
Answer:
Leo: 3n Dimes
Leo: 72 Dimes
Stacy: 72/3 Dimes
Stacy: 24 Dimes
What is the distance in units from (2, -12) to (-11, -12)
20 POINTSSS
HURRY PLEASEEEE
Answer:
d= (-11-2)^2 + (-12--12)^2
d= (-13)^2 + (0)^2
d=169
square root the 169
answer is 13
that's the distance from (2, -12) (-11, -12)
hope that helps
Step-by-step explanation:
The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units
What is the distance of a line between 2 points?
The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Given data ,
Let the distance between the two points be = D
Let the first point be represented as = A
The value of A = A ( 2 , -12 )
The second point be represented as = B
The value of B = B ( -11 , -12 )
Now , the distance between the points A and B is given by the equation of distance formula
[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Substituting the values in the equation , we get
[tex]Distance D = \sqrt{(-12-(-12)^{2} + (2-(-11))^{2} }[/tex]
On simplifying the equation , we get
[tex]Distance D = \sqrt{(0 + (2+11))^{2} }[/tex]
[tex]Distance D = \sqrt{(13)^{2} }[/tex]
[tex]Distance D = 13[/tex]
Therefore , the value of D is 13
Hence ,
The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units
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What does the following equal? Please help me!
Answer:
the first answer
Step-by-step explanation:
1/8 of the absolute value is 1/8 positive
anything from the absolute value is positive because absolute value is the value of how far away the number is from zero.
Answer:
-1/8
Step-by-step explanation:
Find the correct value of 2/3 plus 1/2 plus 5/12
Answer:
2/3 + 1/2 = 1.16666666667
therefore the answer is 1.58333333333
help please i don’t get it
how do this math problem?
of shaded region shapes
question 2)
find the area of each shape.
All measurements are in centimetres.
and please explain me to how to do this cuz I don't understand my teacher in maths
Answer:
photo isn't clear, first of all u have to click clear picture
Options are:
CPCTC
Congruent
vertical angles are congruent
If alternate interior angles are congruent then lines are parallel
Answer:
1) because they are vertical angles
2) because SAS
3) CPCTC
4) Converse of the Alternate Interior Angles
please help ASAP!!!
A cone has a radius of 2.5 inches and a height of 1.6 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth.
4.0 in³
10.5 in³
12.0 in³
23.1 in³
6. You are planning a trip. You can go to Phoenix, Las Vegas, San Diego, or Los Angeles. You can
fly or drive. You can stay 3, 4, or 5 days. How many different trip possibilities are there?
How many different trip possibilities are there?
Answer:
There are 24 different trip possibilities.
Step-by-step explanation:
Here the first thing we need to find is all the individual events, such that each event (or selection) will have a given number of options.
The first event is the selection of the location.
Here the options are: Phoenix, Las Vegas, San Diego, or Los Angeles (4 options)
The second event is the selection of how you go there.
The options are flying or driving (2 options)
The third event is the selection of how many days you will stay there. The options are 3 days, 4 days, and 5 days (3 options).
The total number of different trip possibilities is equal to the product between the number of options for each event.
P = 4*2*3 = 24
There are 24 different trip possibilities.
if (x-y)=15 what is the value of x^2 -2xy+y^2
Answer:
=225
Step-by-step explanation:
The value of x² - 2xy + y² would be; 225
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
we are given that (x-y)=15
The identity (x + y)² - (x - y)² = 4xy.
(x + y)²= (x² + 2xy + y²)
we have been asked to find x² - 2xy + y²
x² - 2xy + y² = (x - y)²
x² - 2xy + y² = 15²
x² - 2xy + y² = 225
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find the distance between each pair of points (-3,4) (2,6)
Answer:
≈ 5.4 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 6)
d = [tex]\sqrt{(2+3)^2+(6-4)^2}[/tex]
= [tex]\sqrt{5^2+2^2}[/tex]
= [tex]\sqrt{25+4}[/tex]
= [tex]\sqrt{29}[/tex]
≈ 5.4 ( to 1 dec. place )
Which equation has no real solutions?
A 2x2 + 2x + 15 = 0
B 2x2 + 5x – 3 = 0
C 1 x2 + 7x + 2 = 0
D x2 - 4x + 2 = 0
Please help me this is on khan academy.
Mr. Mole's burrow lies 5 55 meters below the ground. He started digging his way deeper into the ground, descending 3 33 meters each minute. Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
At the 95% confidence level, the margin of error for this survey, expressed as a proportion, is approximately 0.0288.
To calculate the margin of error for a survey expressed as a proportion, we need to use the formula:
Margin of Error = Critical Value [tex]\times[/tex] Standard Error
First, let's find the critical value.
For a 95% confidence level, we can refer to the standard normal distribution (Z-distribution) and find the z-value associated with a 95% confidence level.
The critical value for a 95% confidence level is approximately 1.96.
Next, we need to calculate the standard error.
The standard error for a proportion can be computed using the formula:
Standard Error [tex]= \sqrt{((p \times (1 - p)) / n)}[/tex]
Where:
p = proportion of respondents in favor of the plan
n = sample size
In this case, the proportion in favor of the plan is 37/185 = 0.2 (rounded to the nearest thousandth).
The sample size is 185.
Now we can calculate the standard error:
Standard Error [tex]= \sqrt{((0.2 \times (1 - 0.2)) / 185)}[/tex]
Simplifying further:
Standard Error ≈ [tex]\sqrt{((0.04) / 185)}[/tex]
Standard Error ≈ [tex]\sqrt{(0.0002162)}[/tex]
Standard Error ≈ 0.0147 (rounded to the nearest thousandth)
Finally, we can calculate the margin of error:
Margin of Error = 1.96 [tex]\times[/tex] 0.0147
Margin of Error ≈ 0.0288 (rounded to the nearest thousandth)
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The Americans with disabilities act sets a maximum angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to accommodate a ramp that goes up to a door.
Answer:
Step-by-step explanation:
tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.
d=h/tanα, we are given that h=4ft and α=4.76° so
d=4/tan4.76° ft
d≈48.04 ft (to nearest hundredth of a foot)
HELP NEEDED!!! 15POINTS FOR A ANSWER AND EXPLANATION! I cant figure this out help me please! Also no links.
Answer:
Line I:y=5
Line m:y=_2×+5
Line n:y=×-1
Line p:×=_5
Step-by-step explanation:
Hope It Help
Brainliest Please
I REALLY NEED HELP I WILL MARK BRAINLIEST
Im so sorry i don't know.
determine the missing length in your right triangle using the Pythagorean theorem. round your answer to the nearest 10th if necessary
Answer:
21.4
Step-by-step explanation:
13^2 + 17^2 = c^2
169 + 289 = c^2
458 = c^2
The square root of 458 is 21.4.