Answer:
[tex](x^{9}y^\frac{1}{3})[/tex]
or
[tex](x^{9}\sqrt[3]{y})[/tex]
Step-by-step explanation:
Given in the question an expression
[tex](x^{27}y )^\frac{1}{3}[/tex]
We will apply the power rule
The "power rule" tells us that to raise a power to a power, just multiply the exponents.
[tex](x^{27*\frac{1}{3} }y^\frac{1}{3})[/tex]
[tex](x^{9}y^\frac{1}{3})[/tex]
As we know that
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
so we can write the above expression as
[tex](x^{9}\sqrt[3]{y})[/tex]
Answer:
3∛(xy)
Step-by-step explanation:
(x27y)^1/3
Simplified form will be 3/x³y³
Because;
27^(1/3) = 3
x^(1/3) = ∛x
y^(1/3) = ∛y
Which gives us 3∛(xy)
two cars are traveling in the same direction. The first car is going 40 mi/h, and the second car is going 55 mi/h. the first car left 3 hours before the second car. which equation could you solve to find how many hours it will take for the second car to catch up to the first car?
Answer:
8 hours
Step-by-step explanation:
first car: speed=40, time=(t+3), distance=s1
second car: speed=55, time=t, distance=s2
speed=distance/time
distance=speed×time
s1=40×(t+3)
s2=55×t
since the cars would travel the same distance; s1=s2
40(t+3) = 55t
40t+120 = 55t
15t = 120
t=8
Hhhhhhhhhhhhhhhhhhhhhhh
Answer:
A
Step-by-step explanation:
Answer:a
Step-by-step explanation:
The population of the United States is 3 × 108 people, and the population of the world is 6.9 × 109 people. How many times larger is the world population? Write your answer in standard notation.
The world population is approximately 23 times larger than the population of the United States.
Explanation:The question is asking how many times larger the world population is compared to the population of the United States. You can determine this through division. In this case,
6.9 × 109 (the world population) divided by 3 × 108 (the US population) equals approximately 23. This means that the world population is approximately 23 times larger than the population of the United States.
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The answer is expressed in standard notation as 23.
To calculate how many times larger the world population is compared to the United States, we divide the world population by the population of the United States. Given the world population as 6.9 × 10^9 people and the U.S. population as 3 × 10^8 people, we perform the following calculation:
6.9 × 10^9 ÷ 3 × 10^8 = 23 times larger.
When we divide these two numbers, we subtract the exponents (since the bases are the same) resulting in 10^1, which is just 10. Multiply the non-exponential part: 6.9 ÷ 3, which equals 2.3. Therefore, 2.3 × 10 tells us that the world population is 23 times larger than the population of the United States. To write this in standard notation, we simply say the world population is 23 times larger.
Which of the following fractions is equal to 1/4 A.12/60 B.48/12 C.36/108 D.26/104 E.17/50
The answer is D because if you do 26 divided by 104 then you get .25 which is equivalent to 1/4
The correct choice is D. 26/104
Step-by-step explanation:By the simplification of fractions we get
26 / 104 as 1/4
See the attached figure
HELP ME PLZ
(50 POINTS)
➷ The formula for circumference is [tex]\pi d[/tex]
1) [tex]\pi d = 31.4[/tex]
Divide both sides by [tex]\pi[/tex]
d = 9.99 (consider this to be 10)
Half this to find the radius
10/2 = 5
It would be figure B.
2) [tex]\pi d = 37.68[/tex]
Divide both sides by [tex]\pi[/tex]:
d = 11.99 (consider this to be 12)
Divide by 2 to find the radius:
12/2 = 6
It would be figure C.
3) area = [tex]\pi r^2[/tex]
[tex]\pi r^2 = 153.86[/tex]
r^2 = 48.97515909
r = 6.998 (consider this to be 7)
It would be figure D
4) [tex]\pi r^2 = 113.04[/tex]
r^2 = 35.98174
r = 5.998 (consider this to be 6)
It would be figure C.
5) radius = diameter / 2
radius = 3
[tex]\pi (3)^2 = 28.27433[/tex]
It would be option C
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
he is right
becasue he knows what he is talking about
Which number is greater than (>) 6.841?
Answer:6.95
6.95= 6.95>6.841
6.8= 6.800<6.841
6.786<6.841
6.839<6.841
Answer:
6.95
Step-by-step explanation:
We can find the answer by analyzing the options and deducing which is greater or less.
That is, if we have the number 6.841, the number 6.95 must be greater because it has 9 intead of an 8, which makes it a bigger number.
We can also make a division between the original number and the number that we want to know if it is greater or less, and if the division is less than 1 it means that the number is greater, and if the division is greater than 1 it means that the number is smaller.
6.841/6.8 = 1.006 ⇒⇒ 6.8 is smaller than 6.841
6.841/6.786 = 1.008 ⇒⇒ 6.786 is smaller than 6.841
6.841/6.839 = 1.0003 ⇒⇒ 6.839 is smaller than 6.841
6.841/6.95= 0.98 ⇒⇒ 6.95 is greater than 6.841
-0.2x^2+0.9x+0.6=y
What's the vertex form for this equation?
Answer: y = -0.2(x - 2.25)² + 1.6125
Step-by-step explanation:
[tex]y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125[/tex]
20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)
Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
Which set of three angles could represent the interior angles of a triangle?
A.49,59,72
B.28,58,62
C.39,89,108
D.45,70,85
the sun interior angles of a triangle must be equal to 180degrees
option A 49, 59, 72 is the only one where the sum of the angles equal to 180 degrees
The set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Set of three angles:
The triangle's interior angles add up to 180°.
A.49,59,72
= 49 + 59 + 72
= 180(interior angles of a triangle)
B.28,58,62
= 28 + 58 + 62
= 148 (not an interior angles of a triangle)
C.39,89,108
= 39 + 89 + 108
= 236 (not an interior angles of a triangle)
D.45,70,85
= 45 + 70 + 85
= 200 (not an interior angles of a triangle)
Thus, the set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.
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what is the solution to this equation x/4=-12
Answer:
x = -48
Step-by-step explanation:
-12 * 4 = -48
X = -48
4*(-12)=-48.
If the measure of angle 3 =119 degrees,then the measure of angle 6=
I think it’s 61 degrees.
Plz help me i need it
Answer:
13x^3-2x^2+3x+13
Step-by-step explanation:
you add the like terms. For example, you can add 3x^2 and 2x^2, but not 6 and 2x^2.
Answer: 13x³ - 2x² + 3x + 13
Step-by-step explanation:
5x³ + 3x² - 5x + 4
+ 8x³ - 5x² + 8x + 9
13x³ - 2x² + 3x + 13
Defining congruent triangles
Answer:
E -->R
D-->K
O-->O
Step-by-step explanation:
Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.
Here Angle E corresponds and is congruent to Angle R in these congruent triangles.
Angle D is congruent and corresponds to Angle K for these congruent triangles.
Angle O is equal to Angle O as they are vertical angles across a vertex.
Congruent triangles, in mathematics, are triangles that are of the same size and shape, meaning their corresponding sides and angles are equal. An example would be two triangles each with sides of 3, 4, and 5 units.
Explanation:In mathematics, specifically in geometry, congruent triangles are defined as triangles that have the same size and shape. This means that their corresponding sides are of equal length, and their corresponding angles are of equal measure. The concept of congruence is important in many aspects of geometry, including the study of shapes, symmetry, and transformations.
Examples of Congruent Triangles:If we have two triangles, Triangle A (with sides of 3, 4, and 5 units respectively) and Triangle B (with sides of 3, 4, and 5 units as well), these two triangles are congruent, as the lengths of their corresponding sides are equal. You could rotate, flip or move one to coincide exactly with the other, showcasing their congruency.
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Carla spent two-fifths of her savings on a bracelet and had 9 left over. How many dollars did Carla's bracelet cost?
Final answer:
Carla spent two-fifths of her savings on a bracelet and had $9 left. Her original savings were $22.50, so the bracelet cost $9.
Explanation:
Carla spent two-fifths of her savings on a bracelet and had $9 left over. To determine the cost of Carla's bracelet, we need to let s represent her original savings. According to the problem, the remaining savings after purchasing the bracelet is s - (2/5)s = $9.
To solve for the cost of the bracelet, we can set up the equation (2/5)s = s - $9. By multiplying both sides by 5/2 to isolate s, we get:
s = (5/2) * ($9)
s = $22.50
So her original savings were $22.50. This means Carla spent (2/5) * $22.50 on the bracelet. Calculating this gives:
Cost of bracelet = (2/5) * $22.50
Cost of bracelet = $9
Thus, Carla's bracelet cost $9.
A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubic inches of tuna is in the can?
Answer: [tex]6.185in^3[/tex]
Step-by-step explanation:
The formula for calculate the volume of a cylinder is:
[tex]V_{cylinder}=\pi r^2h[/tex]
r is the radius of the cylinder and h is the height of the cylinder.
Given the diameter of 3 inches, calculate the radius of the cylinder with:
[tex]r=\frac{d}{2}[/tex] (Where d is the diameter)
[tex]r=\frac{3in}{2}=1.5in[/tex]
Knowing the height and the radius, you can calculate the volume of the entire can of tuna:
[tex]V_{can}=\pi (1.5)^2(1.75in)=12.37in^3[/tex]
As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:
[tex]V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3[/tex]
Answer:
Step-by-step explanation:
jaz its alexis
Find the surface area , please explain how you solved it.
The answer is 930 m^2. First, find the areas of each individual partbod the prism. The two side triangles would each be (5x12)/2. The back would be 5x29. The top would be 13x29. The bottom would be 12x29. Now add all of these together and you would get 930 m^2.
How many cubes fit into a rectangle
No one, due to cube is 3D and rectancle 2D
Best regards
If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points
A. Three
B. Four
C. Five
D. Six
Answer:
Option D 6 is the answer.
Step-by-step explanation:
the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.
This ca be calculated in two ways.
(1) We will form the line segments
AB, AC, AD, BC, BD, DC
Therefore 6 segments can be formed.
(2) By combination method
Number of segments = [tex]^{4}C_{2}[/tex]
= [tex]\frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}[/tex]
= [tex]\frac{4\times 3}{2\times 3}=\frac{12}{2}[/tex]
= 6
Option D 6 is the answer.
Answer:
6
Step-by-step explanation:
possible points are:
ad
ac
ab
dc
db
cb
one third the difference of two number is 12. if the larger number is 9, what is the sum of the two numbers
x=smaller number
y=larger number
x+y=12
y=3x-6
Let's begin with the first equation...
x+y=12
Let's substitute...
x+(3x-6)=12
4x-6=12
Let's add 6 to both sides as we proceed to isolate x...
6+4x-6=12+6
4x=18
Let's divide both sides by 4...
(4x)/4=18/4
x=9/2=4.5---smaller number
12-4.5=7.5s larger number
Answer:
The sum of the two numbers is -18.
Step-by-step explanation:
You can work your way through the problem starting with ...
1/3 the difference of two numbers is 12
Since 3 times 12 is 36, the difference of the two numbers is 36.
Then you are told ...
the larger number is 9
so the smaller number will be 9 less the difference, or ...
smaller number = 9 - 36 = -27.
Now, you know both numbers, so you know there sum is ..
9 + (-27) = -18 . . . . . sum of the two numbers
_____
You can work it also using L for the larger number, D for the difference. Then the smaller number is (L-D) and the sum is ...
sum = L + (L -D) = 2L - D
Filling in the values given for the larger number and the difference, you have ...
sum = 2·9 - 3·12 = 18 -36 = -18 . . . . . as before
Please help me o have to turn this in tomorrow and I don’t want to fail
B=5 units that is the answer
For a small music concert, each child in attendance will get a free toy trumpet. Five adults are expected for every 2 children. Find how many children are expected if there are 15 adults, 25 adults, and 40 adults.
Answer:
If there are 15 adults we can expect 6 children, for 25 adults we can expect 10 children, and for 40 adults we can expect 16 children.
what is the absolute value of 5+|-6|
5+|-6|
5+6
11
...
...
..
..
Final answer:
The absolute value of -6 is 6, so the value of the expression 5 + |-6| is 11.
Explanation:
The absolute value of a number is its distance from zero on a number line, regardless of direction.
Hence, the absolute value of -6 is 6. Now let's solve the expression 5 + |-6|.
First, we find the absolute value of -6, which is 6. Adding this to 5, we get:
5 + |(-6)| = 5 + 6 = 11.
Thus, the absolute value of 5 + |-6| is 11.
If a pitch from a moving vehicle sounds lower to a hearer, where is the vehicle in relations to the hearer? A. Past the hearer B. Before the hearer C. Above the level of the hearers ear D. Below the level of the hearers ear
Answer:
a
Step-by-step explanation:
give the other kid brainiest
Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square and a slant height of 2.5 inches. Perfume B is packaged in a bottle with a base 2.5 inches square and has a slant height of 3 inches. Which bottle contains more glass?
Answer:
The bottle of perfume A contains more glass
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces
step 1
Find the surface area of Perfume A
[tex]SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}[/tex]
step 2
Find the surface area of Perfume B
[tex]SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}[/tex]
step 3
Compare the surface areas
[tex]24\ in^{2}>21.25\ in^{2}[/tex]
therefore
The bottle of perfume A contains more glass
Suppose f(x) = x^2+2. Find the graph of f(2/3x)
Answer:
The answer is graph 4.
Step-by-step explanation:
I literally just guessed it and got it right lol. Stay safe, ya’ll.
plz help 13 points! Math 7th grade
The correct answer is D ) -2
Answer:
the awnser is D
Step-by-step explanation:
Is any whole number with 5 digits greater than any whole number with 4 digits
Answer:
Yes
Step-by-step explanation:
If you had 52,134 and 7,623, which one is greater? 52,134 because its in the ten thousands and 7,623 is in the thousands.
Which of the following shows 2.684 rounded to the nearest hundredth
A. 2.68
B. 2.69
C. 2.70
D. 3.00
The answer would be A
Final answer:
To round 2.684 to the nearest hundredth, you look at the third decimal place. Since it's a 4, you don't round up, keeping the second decimal at 8. The rounded number is 2.68.
Explanation:
To round the number 2.684 to the nearest hundredth, we need to look at the third digit after the decimal point, which is 4 in this case. Since the third digit (4) is less than 5, we do not round up the second digit. Therefore, the second digit after the decimal remains as 8, and the number 2.684 rounded to the nearest hundredth is 2.68.
So, the correct answer from the options provided is:
A. 2.68
What is 77,543 rounded to the nearest ten?
Answer:
77,540
Step-by-step explanation:
Since 3 is less than 4, we round down a ten. This comes out to 77,540.
The Answer Would Be:
77,540
A line described by the equation -4x + Y = 2 is graphed on a coordinate plane. Which equation describes the graph of a line passing through the point (-1, 3) and parallel to the line described by -4x + y = 2?
Answer:
D
Step-by-step explanation:
We know that parallel lines have equal slopes.
Let's transform the given equation to the form y = mx + b to find the slope (m is the slope). Shown below:
[tex]-4x+y=2\\y=4x+2[/tex]
So the slope is 4. Hence the parallel line will have a slope of 4.
Now we can write the equation of the parallel line as :
[tex]y=4x+c[/tex]
Since the line goes through (-1,3), we can plug in -1 into x and 3 into y to find out c:
[tex]y=4x+c\\3=4(-1)+c\\3=-4+c\\3+4=c\\c=7[/tex]
Now we know both m and c, so the equation of the parallel line is:
[tex]y=4x+7[/tex]
Answer choice D is right.