Answer:
[tex]\large \text{$ 4 x^{\frac{14}{3}}y^{\frac{8}{3}}$}[/tex]
Step-by-step explanation:
Given expression:
[tex](8x^7y^4)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a \cdot b)^c=a^{c} \cdot b^{c}:[/tex]
[tex]\implies 8^{\frac{2}{3}} \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]
[tex]\implies 4 \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 4 \cdot x^{\frac{14}{3}}\cdot y^{\frac{8}{3}}[/tex]
[tex]\implies 4 x^{\frac{14}{3}}y^{\frac{8}{3}}[/tex]
Expand [tex]\bf{(8x^{7}y^{4})^{\frac{2}{3} } }[/tex]
[tex]\bf{8^{\frac{2}{3} }(x^{7})^{\frac{2}{3} }(y^{4})^{\frac{2}{3} } }[/tex]
To raise a power to another power, multiply the exponents. Multiply 7 and 2/3 to get 14/3.
[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }(y^{4})^{\frac{2}{3} } }[/tex]
To raise a power to another power, multiply the exponents. Multiply 4 and 2/3 to get 8/3.
[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }y^{\frac{8}{3} } }[/tex]
Calculate 8 to the power of 2/3 and you get 2/4.
[tex]\bf{4x^{\frac{13}{4} }y^{\frac{8}{3} } \ \ ==== > \ \ \ Answer }[/tex]
jane has 3 apples julio has 4 apples and 2 bananas jesse has 4 bananas and 10 apples how many apples are there in all if they a put all fruit in a basket
Darnel drew a scale drawing of a swimming pool. the scale he used was 14 centimeters : 5 meters. if the actual width of the pool is 10 meters, how wide is the pool in the drawing? '
Answer:
28cm
Step-by-step explanation:
Given that;
14cm = 5m
x = 10m
cross multiply
5x = 140
divide both side by (5)
[tex] \frac{5x}{5} = \frac{140}{5} [/tex]
:- x = 28cm
What is the surface area?
4 m
5 m
12m
Answer:
Where is the picture of the surface area?
Step-by-step explanation:
I need the picture in order for me to help your question.
7. algebra sara allen is interested in buying a notebook
computer. if she buys the computer this week, she will
save $150.00 while it is marked down 16%. if she buys the
computer next week, she will pay the regular selling price.
what is the regular selling price?
A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the selling price of the computer notebook be represented by x.
Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.
Also, the saving she made by buying this week will be $150, therefore, we can write,
x-0.84x = $150
0.16x = $150
x = 937.5
Hence, the regular selling price of the computer notebook will be $937.5.
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8. FInd the area. Hint: A=1/2bh
is my answer correct
The value of angle 2 will be equal to 132°.
What is the angle?
The distance between two intersecting lines or surfaces at or around the point where they meet (typically measured in degrees) is called an angle.
Given that:-
A line is intersecting two parallel lines and making angles one angle is 132 and another angle is need to be found.
We can see that the two angles are exterior opposite angles so the angle 2 will be 132
Hence the value of angle 2 will be equal to 132°.
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Determine the interval (s) on which the given function is increasing
Answer:
[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]
Step-by-step explanation:
A function is increasing when its gradient is positive (so y-coordinates are increasing).
We have a graph, rather than a function given to us, so we don't need to use any calculus.
Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).
Between x=0 and x=1, the function is decreasing.
After x=1, the function is increasing again.
We can use mathematical notation to express this.
[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]
Or
[tex]x < 0\ \text{and}\ x > 1[/tex]
A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).
Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).
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Identify the initial mount (A) and the growth factor (B) be in each exponential function break into (1+r) where the r is the rate of growth. Give r as a percentage.
y = 1.4 (1.02)
a=
b=
r (as a percentage) =
-5(8a - b) - 2(-6a + 9b)
Need answer plis
SOMEBODY HELP ME PLEASE
Answer:
68
Step-by-step explanation:
the interior angles of a triangle always adds up to 180. So if you add 59 and
53 together you would get 112. Then subtract that from 180 and you would get 68.
h(n)=63⋅(− 3 1 ) n h, left parenthesis, n, right parenthesis, equals, 63, dot, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis, start superscript, n, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.
The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
How to complete the recursive function?The function is given as:
[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]
Set n to 0
[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]
Evaluate
h(0) = 63
This means that the function h(n) has the following parameters:
First term = 63
Rate = -1/3
Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
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y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y
Answer:
y = 7.5[tex]\sqrt{x}[/tex]
Step-by-step explanation:
given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is
y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion
to find k use the condition y = 75 , x = 100 , then
75 = k[tex]\sqrt{100}[/tex] = 10k ( divide both sides by 10 )
7.5 = k
y = 7.5[tex]\sqrt{x}[/tex] ← equation of proportion
2. The annual cost of science club membership is $ 95. The cost
increases by $20 every year. How much will it cost in 9 years?
Answer:
275
Step-by-step explanation:
20 x 9 = 180
180 + 95 = 275
Please help l don’t understand
Based on the graph given, the two points that need to be plotted are (9, 4) and (7, 3).
How should a graph on Age v. Hours of TV watched be plotted?The points that are already plotted on the graph represent the results of the hours of television watched by children.
For instance, children of 6 years watched 2 hours of television. For that reason, the point where 6 (x axis) and 2 (y axis) meet on the graph is marked with an x.
The last two points would therefore be (9, 4) and (7, 3) to show that 9 year olds watch 4 hours of television and 7 year olds watch 3 hours of television.
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What does paper folding have to do with exponents?
Answer:
See below
Step-by-step explanation:
If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.
Solve The equation 1/4t-6=-4
t=
Answer:
t = 8Step-by-step explanation:
Solve The equation 1/4t-6=-4
1/4t - 6 = -4
1/4t = 2
t = 2 * 4
t = 8
-------------------
check
1/4 * 8 - 6 = -4
2 - 6 = -4
-4 = -4
the answer is good
calculate the maximum mass of copper thar could be produced
from 4.0 g of copper oxide
So, 3.55 g of copper could be made from 4 g of copper oxide.
The formula for copper oxide to convert to copper is a chemical equation Cupric oxide, or copper (II) oxide, is an inorganic compound with the chemical formula CuO.
What is the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth?
Step-by-step explanation:
first, draw a graph and subtract the nbers in brackets with the others. when done -6,-4 will help you solve the answer
The distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
Distance between two pointsThe formula for calculating the distance between two points is expressed as:
D = √(y2-y1)²+(x2-x1)²
Given the coordinate points X(−4,3) and Y(2,−7)
Substitute
XY = √(-7-3)²+(2+4)²
XY = √(-10)²+(6)²
XY = √100+36
XY = √136
XY = 11.7 units
Hence the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
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The ratio 5 girls to 3 boys in couris . there are 24 boys how many many girls are there
Answer:
40
Step-by-step explanation:
24 divided by 3 is 8. 8 multiplied by 5 is 40.
Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=
Answer:
I hope this is the whole question
Step-by-step explanation:
Well I can only see one way and it is this...
[tex]\sqrt{27a}[/tex] = [tex]\sqrt{3.3.3.a}[/tex]
= [tex]3\sqrt{3a}[/tex]
I got rid of one perfect-square. I dont think you can do much more.
Write a quadratic equation that has only one real-number solution
The equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
If the quadratic equation has only one solution, then
[tex]\rm b^2 - 4ac = 0[/tex] or
[tex]\rm b^2 = 4ac[/tex]
[tex]\rm x = \dfrac{-b}{2a}[/tex]
2ax = - b
(2ax+b) = 0
(2ax+b)² = 0 (square on both sides)
[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]
Thus, the equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
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Find the distance between points p(6, 2) and q(-3, 8) to the nearest tenth.
Answer:The distance is 10.8
Step-by-step explanation:
Question 11 of 25
Does this table represent a function? Why or why not?
X
y
2
1
4
3
6
3
8
4
10
6
A. Yes, because all of the x-values correspond to one or more
y-values.
B. No, because one x-value corresponds to two different y-values.
C. Yes, because every x-value corresponds to exactly one y-value.
Answer: Let's put the chart into ordered pairs:
(x, y)
(2,1)
(3,4)
(3,3)
(4,2)
(5,5)
In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.
The answer options may be mis-written.
The answer is no, because one x value corresponds to more than one y-value.
Have a great day!
and night..
;).
Step-by-step explanation:
Please help me thanks!
Answer:
The Surface area will double and the volume will triple.
Step-by-step explanation:
This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.
Answer:
See below ~
Step-by-step explanation:
Subpart (h) :
⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value
===========================================================
Subpart (i) :
⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value
Help me please I forgot how to do this
Ronald is attending a schoolorchestra concert. He sees his math teacher seated 24 meters
ahead of him and his science teacher seated 10 meters to his right. How far apart are the two
teachers?
Answer:
26 m
Step-by-step explanation:
Use pythag theorem
24^2 + 10^2 = d^2
d= 26 m
What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has a base of 14 inches and height of 8 inches. A rectangle has a base of 14 inches and height of 5 inches. A rectangle has a base of 14 inches and height of 5 inches. 2 triangles have a base of 8 inches and height of 3 inches. 60 square inches 168 square inches 276 square inches 304 square inches.
Answer:
c: 275
Step-by-step explanation:
Did I solve this problem correctly?
Answer:
yes
Step-by-step explanation:
Write'15 cubed' as a power.
Answer:
[tex]15^{3}[/tex]
Step-by-step explanation:
[tex]15^{3} =(15)(15)(15)=3375[/tex]
Hope this helps
help me please i would pay you but i cant
Answer:
-3k + 10
Step-by-step explanation:
you have to combine -8 and 2 because they are like terms, but since -8 is being subtracted from -3k the minus sign and the negative sign basically combine to make a positive sign so it would make it -3k + 8 + 2 which gives you -3k + 10
Answer: Heyaa! ~
Your Answer is... − 3k+10
Step-by-step explanation:
Just Combine the terms! ^Hopefully this helps you! ~
Please answer this! I could not figure it out. Neither could my classmates.
Answer:
[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]
Explanation:
[tex]\rightarrow \sf 3x - 5y = -10[/tex]
[tex]\rightarrow \sf - 5y = -10-3x[/tex]
[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]
[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]
Comparing it with slope intercept formula: y = mx + b
where m is the slope, b is y interceptIdentify the slope for this function:
[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]
Then perpendicular slope shall be negatively inverse:
[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]
Answer:
D
Step-by-step explanation: i got it right