The expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).
How to find the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
To find the equivalent expression, simplify the given equation with the help of mathematical operations.
The expression given in the problem is,
[tex]\sqrt[3]{216\times {27}}[/tex]
Let the expression which is equivalent to the above expression is n. Thus,
[tex]n=\sqrt[3]{216\times {27}}\\n=\sqrt[3]{216}\times \sqrt[3]{27}\\n=\sqrt[3]{6\times6\times6}\times \sqrt[3]{3\times3\times3}\\n=6\times3[/tex]
Thus, the expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).
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Answer:
A
Step-by-step explanation:
A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60 degree with the ground. The distance between the feet of the tree to the point where the top touches the ground is 16m. Find the height of the tree.
The height of the triangle is 8root3 meters.
We have given that,
A tree breaks due to a storm and the broken part bends,
So that the top of the tree touches the ground making an angle of 60 degrees with the ground.
The distance between the feet of the tree to the point where the top touches the ground is 16m.
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.
Now, in △ABD
cos(30)=BD/AD=BD=root3AD/2
AD=2(8)/root3
also in the same triangle
[tex]tan(30)=AB/BD\implies 8/\sqrt{3}[/tex]
What is the height of the triangle?Height of the tree=AB+AD
[tex]=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }[/tex]
[tex]=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m[/tex]
Therefore the height of the triangle is 8root3.
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Round 534 to the nearest hundred
Answer:
500 is the answer
Step-by-step explanation:
hope it helps....
Answer:
500 and 600
Step-by-step explanation:
Round 536 to the nearest hundred. 536 is between 500 and 600. Look at the 30 in the tens place. It is below 50, so round down to 500.
pedro cycled 8 laps around his neighborhood, but this was only 40% of his total cycling workout. How many more laps does he still need to cycle?
Answer:
12 more laps to go
Step-by-step explanation:
8 = 40 % of x
.40 x = 8
x 8 / .4 = 20
he has already ridden 8, so 12 more to go
What is the rule for the transformation above?
A.
f(x , y) = (-x , y)
B.
f(x , y) = (-x , -y)
C.
f(x , y) = (y , x)
D.
f(x , y) = (x , -y)
The rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is
What is the transformation of figure?Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.
The reflection of a plane or shape is flipping the original figure with respect to a reference line. The rule of reflection about x and y-axis is given below,
Reflection about x-axis [tex](x,y)-- > (x,-y)[/tex]Reflection about y-axis [tex](x,y)-- > (-x,y)[/tex]The given figure in the graph is reflected about y-axis. Thus, the rule for the transformation is,
[tex]f(x , y) = (-x , y)[/tex]
Hence, the rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is
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pls fast.
..
...........
Answer:
8 1/6
Step-by-step explanation:
4 1/2 + 3 2/3
convert to improper fractions
9/2 + 11/3
find lcm
27+22/6
49/6
convert back to mixed
8 1/6
Answer:
step by step
Step-by-step explanation:
12+12__12john
please help me...asap
NEED HELP QUICKLY WILL GIVE RIGHT ANSWER POINTS!!!!
Answer:
[tex]x=45 \sqrt{5}[/tex]
Step-by-step explanation:
[tex]2 \log_3x+\log_35=4\log_315[/tex]
[tex]\textsf{Apply power log law}\quad n\log_ab=\log_ab^n:[/tex]
[tex]\implies \log_3x^2+\log_35=\log_315^4[/tex]
[tex]\textsf{Apply product log law}\quad \log_ab+\log_ac=\log_abc:[/tex]
[tex]\implies \log_35x^2=\log_315^4[/tex]
[tex]\textsf{Apply equality log law}\quad \log_ab=\log_ac \implies b=c:[/tex]
[tex]\implies 5x^2=15^4[/tex]
[tex]\implies x^2=10125[/tex]
[tex]\implies x=\pm \sqrt{10125}[/tex]
[tex]\implies x=\pm \sqrt{2025 \cdot 5}[/tex]
[tex]\implies x=\pm \sqrt{2025} \sqrt{5}[/tex]
[tex]\implies x=\pm 45 \sqrt{5}[/tex]
As we cannot take logs of negative numbers,
[tex]\implies x=45 \sqrt{5}\quad \sf only[/tex]
Which function is a quadratic function? t(x) = (x – 4)2 3 q(x) = (2x 4)3 3 r(x) = (–6x – 4)4 3(x 2)2 s(x) = –(x – 6) 3(x 1)
The function t(x) = (x-4)² + 3 is a quadratic function.
How to determine the quadratic function?A quadratic function has a leading exponent of 2
This means that the highest power of a quadratic function is 2
From the list of given options, the function t(x) = (x-4)² + 3 has a leading exponent of 2
Hence, the function t(x) = (x-4)² + 3 is a quadratic function.
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i really need to pass this course
2x2x3x4x442x24ex5x7677x6748
Answer:
5.436564x^14905
If the non-parallel sides of a Trapezium are equal prove that it is cyclic.
Step-by-step explanation:
Solved in the attachment!! Hope it helps you!!there r 12 fish tanks
each fish tank has 20 quarts
every 10 gallons eqal 1 teaspoon
how many teaspoons for the fish tanks
Answer:
six teaspoons
Step-by-step explanation:
12 fish tanks, each 20 quarts
12x20=240 quarts in 12 tanks
we need to convert quarts to gallons
4 quarts equal one gallon, so
240/4=60 gallons in 12 tanks
60 gallons divided by every 10 gallons equal six teaspoons.
Olivia, Charles, and Reese had a challenge to see who could run the farthest in a week. Olivia ran 13 miles, Charles ran 18 times as many miles as Olivia and Reese ran 1/2 as many miles as Charles. What equation could you use to find how many miles Reese ran?
Answer:
1/2 of (13miles) ×18
Step-by-step explanation:
Olivia Charles Reese
13miles (13miles) ×18 1/2 of(13×18)
234miles 117miles
Find the lowest value of the following
4%
1/4
0.4%
0.4
since 4% and 0.4% are in percentage already
then convert ¼ and 0.4 to percent
¼ to percent = ¼× 100
= 25%
0.4 to percent = 4/10 ×100
=40%
the smallest is 0.4%
A circle has a radius 6 inches. If a sector of the circle has an area of 10.8Tt square inches, then what
percent of the circle's area does the sector represent?
Evaluate the expression x^3+ x^2 X equals 4
Answer:
x=-2 you just put the equation on the computer
Help this is for my study on math
Answer:
I think you're being asked to identify the questions that are "statistical questions".
Step-by-step explanation:
so..
a). NO ( not a statistical question).
b). YES ( a statistical question).
c). NO ( not a statistical question).
d). NO ( not a statistical question).
e). YES ( a statistical question).
Hope this helps .
1,024,000,000 rounded to the nearest billion
Answer:
1,000,000,000
Step-by-step explanation:
| Tracey has two empty cube-shaped containers with sides of 5 inches and 7 inches. She fills the smaller container completely with water and then pours all the water from the smaller container into the larger container. How deep, to the nearest tenth of an inch, will the water be in the larger container?
Answer:
5x7=35
Step-by-step explanation:
A tenth of an inch of water container will be 35.
This table represents a linear relationship between x and y.
X Y
-6 -3
-4 -2
-2 -1
0 0
Based on the linear relationship in
this table, what is the value of y when x is 4?
A. 1
B. 2
C. 3
D. 4
Answer:
y = 2
Step-by-step explanation:
Given table:
[tex]\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\\underline{| \ \ \text{x} \ \ | \ \ \text{y} \ \ | } \\ \underline{| \ \text{-6} \ \ | \ \text{-3} \ \ |} \\ | \underline{\ \text{-4} \ \ | \ \text{-2} \ \ | }\\ \underline{| \ \text{-2} \ \ | \ \text{-1} \ \ |} \\ \underline{| \ \ \text{0} \ \ | \ \ 0 \ \ |}[/tex]
To determine the value of y when "x" is 4, we need to determine the equation of the line that represents the table given. Then, we can substitute the value of "x" in the equation to determine the value of y.
Determining the equation of the line that represents the table:
Y-intercept:
Since the coordinate (0, 0) is included in the table, we can tell that the equation of the line that represents the table passes through the origin. Therefore, we can tell that the y-intercept is 0 as the y-intercept is the point on the line that intersects the y-axis.
Slope:
The slope of the line can be determined by picking any two points in the table and substituting the coordinates of the chosen points in the slope formula. Let our chosen points be (-6, -3) and (0, 0).
[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]\implies \text{Slope} = \dfrac{0 - (-3) }{0 - (-6) }[/tex]
[tex]\implies \text{Slope} = \dfrac{0 + 3 }{0 + 6 }[/tex]
[tex]\implies \text{Slope} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
Equation of line:
The equation of the line represented by the table in slope intercept form is y = mx + b, where "m" is the slope and "b" is the y-intercept.
Obtained slope and y-intercept:
Slope = 1/2y-intercept = 0⇒ y = (1/2)x + 0
⇒ y = x/2
Therefore, the equation of the line is y = x/2.
Determining the value of y when "x" is 4:
Obtained equation of line that represents the table:
⇒ y = x/2Given value:
x = 4Therefore,
⇒ y = (4)/2⇒ y = 2Thus, the value of "y" when "x" is 4 is 2.
write the 3 properties of logarithm used to combine logarithms
Answer:
here!
Step-by-step explanation:
Properties/Rules Exponents Logarithms
Product Rule xp.xq = xp+q loga(mn) = logam + logan
Quotient Rule xp/xq = xp-q loga(m/n) = logam – logan
Power Rule (xp)q = xpq logamn = n logam
find the measure of the indicated angle to the nearest degree.
Answer:
23°
Step-by-step explanation:
Let the measure of the required angle be [tex]\theta[/tex]
[tex] \implies \: \theta = { \cos}^{ - 1} \: \bigg(\frac{35}{38} \bigg) \\ \\ \implies \: \theta =22.9195421516\\\\ \implies \: \theta =23\degree[/tex]
The PTA sells school supply packs each year. If 60% of the 400 students purchase from the PTA, then how many school supply packs do they sell?
:} Im sorry i dont know
...........................................................
Suppose y varies directly with x, and y = 68 when x = 17. What is the value of x when y = 16 ?
Answer:
x=4
Step-by-step explanation:
y=68 and x=17
68/17=4
y=16 and x=?
16/4=4
x=4
What is the probability of rolling a pair of dice and not rolling a 6
Answer: 5/6
Step-by-step explanation: P(6) = 1/6 and P(not a 6) is 1 - P(6)
1-1/6 =5/6
Pls help with this:
Answer:
a=80° b=40°
Step-by-step explanation:
a=80 (vertically opposite angles )
a+b+90+150 = 360° ( angle sum property of quadrilateral )
80+b+90+150 = 360
b+ 320 = 360
b= 360-320
b=40°
Consider a continuous random variable x, which is uniformly distributed between 65 and 85. The probability of x taking on a value between 75 to 90 is ________.
We will see that the probability of x taking on a value between 75 to 90 is P = 0.5
How to get the probability?We know that x is a continuous random variable uniformly distributed between 65 and 85.
This means that the probability that x value y in the range is such that:
1 = P(y)*(85 - 65) = P(y)*20
1/20 = P(y).
Now, the probability of x taking a value between 75 and 85 is:
P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5
And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).
Then we conclude that the probability of x taking a value between 75 to 90 is:
P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5
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Which expression is equal to
Answer:
A
Step-by-step explanation:
The denominator does not change....just add the numerators
(x-2) - ( x^2-2x+6)
x -2 - x^2 + 2x - 6 = -x^2 + 3x -8
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Lessons
Assessments ✓ Gradebook
Question 9(Multiple Choice Worth 1 points)
(08.04 MC)
For the graph, what is a reasonable constraint so that the function is at least 300?
Answer:
option B is correct answer
Scientists claim that a type of insect inherits wing colors in a ratio of 3:3:1 of black, red, and yellow. A sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings. What is the approximate P-value for the chi-square goodness of fit test
The p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.
What is the chi-square test?A hypothesis testing method is the Chi-square test. Two popular Chi-square tests involve comparing observed and expected frequencies in one or more categories.
The expected proportions are:
3/7, 3/7, 1/7 respectively
Test stasisttics = 0.978
Df = n -1 = 3 - 1 = 2
P-value = 0.622
Thus, the p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.
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