Simplify the given expression, using only positive
exponents. Then complete the statements that
follow
(x²y3)-1 72
(x-2y+z)2
x60, y#0, 2*0.
?
The exponent on x is
The exponent on y is
The exponent on z is
Answers
Answer: x=4 y=14 z=4
Step-by-step explanation:
On edge it is that
The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
What is simplification?Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.
Here,
To simplify the given expression, we need to use the rules of exponents:
= [(x²y³)⁻¹ / (x⁻²y²z)²]²
= [(1 / x²y³) / (x⁻⁴y⁴z²)]²
= [(1 / x²y³) * (x⁴ / y⁴z²]²
= x⁴ / y¹⁴z⁴
Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
Learn more about simplification here:
https://brainly.com/question/12501526
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Related Questions
Replace A with a number to make A/24 ≥ 1/4 a true statement.
Answers
Answer:
B. 7
Step-by-step explanation: 6/24= 1/4 so 7/24>1/4
Please, I don’t get this. You don’t need to do step by step
Answers
1.
Equation: (3×n)-7=2 (n is just the missing number)
Solution: n is 3 or just 3
2.
You bought 5 pairs of socks
Explanation:
96-76=20
20÷4=5 pairs of socks (Before tax)
3.
The number is 2
Explanation:
5×n=2(n+3)
5×2=2(2+3)
10=2(5)
10=10
Hope this helps!
Betty turned 71 this year but in three more years she will be twice as old as her daughter. How old is her daughter now
Answers
Answer: Betty's daughter is 34 years old now.
Step-by-step explanation:
So Betty is currently 71. In three years, she will be 74. So she will be twice as old as her daughter at the age of 74. To find out how old Betty's daughter is in 3 years, I will divide 74 by 2, which is 37 (74/2). Finally, I will subtract the original 3 years from the 37 years of age of Betty's daughter, and I will get my answer for how old Betty's daughter is, which is 34 years old.
Maggie buys 1 1/2 pounds of walnuts pounds of walnuts 8 ounces 8 ounces of pecans of pecans and 3/4 pounds of almonds how much do the nuts weigh in all
Answers
Answer:
[tex]2\frac{3}{4}[/tex] pounds
Step-by-step explanation:
Maggie buys 1 1/2 pounds of walnuts, 8 ounces of pecans and 3/4 pounds of almonds.
To find the total weight of nuts that she buys, let us first put all the weights in a single unit, pounds.
She buys 8 ounces of pecans.
1 ounce = 0.0625 pounds
8 ounces = 8 * 0.0625 = 0.5 pounds = 1/2 pounds
Therefore, the total weight of nuts that she buys is:
[tex]1\frac{1}{2} + \frac{1}{2} + \frac{3}{4}\\ \\\frac{3}{2} + \frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}[/tex]
The nuts weight [tex]2\frac{3}{4}[/tex] pounds in all.
Answer:
the answer is 2 3/4 pounds
Step-by-step explanation:
3. WEDNESDAY (5/20): The minimum of the graph of a quadratic function is located at (-1,2). The point (2, 2015
also on the parabola. Which function represents this?
a) f(x) = x² + 2x + 3
b) f(x)= x² - 2x+3
c) f(x) = 2x²+4x+4
d) f(x)= 2x²- 4x+4
Answers
Answer:
C.) f(x) = 2x^2 + 4x + 4
Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y=a(−h+x)^2+k.
Thus, the equation of the parabola is y=a(x+1)^2+2.
To find a, use the fact that the parabola passes through the point (2,20): 20=9a+2.
Solving this equation, we get that a=2.
Thus, the equation of the parabola is y=2(x+1)^2+2.
TO STANDARD FORM
= 2*(x^2+2x+1)+2
=(2x^2+4x+2)+2
= 2x^2+4x+2+2
= 2x^2+4x+4
What is it that when you take away the whole, you still have some left over?
Answers
Answer:
wholesome!!! brainliest pls :)
Answer:
wholesome
Step-by-step explanation:
you take away the first word which is whole
and u still have the word some left over
hope this helped if this isnt what ur looking for plz tell me
Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-score associated with the upper boundary of of this price range.
Answers
Answer:
The z-score associated with the upper boundary of of this price range is -0.25.
Step-by-step explanation:
It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.
If X represents the price range of drink sales, then
P (X < x) = 0.40
Consider that X follows a Normal distribution.
To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.
The formula to z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
Then,
P (X < x) = 0.40
⇒ P (Z < z) = 0.40
The value of z for this probability is:
z = -0.25
*Use a z-table.
Thus, the z-score associated with the upper boundary of of this price range is -0.25.
Answer:
-0.25
Step-by-step explanation:
correct on plato
a car salesman has 7 used cars for sale. They have a mean price of $8000. What is the total price of all 7 cars?
Answers
Answer:
$155282862040271282939285047182828282828
Write down all the factors of 15.
Answers
Answer:
1,3,5,15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factors of 15:
1 , 3 , 5 , 15
A circular table top has an area of 324 square inches. Which
measurement is closest to the radius of the table top in inches?
Answers
Answer:
10 inches (10.19)
Step-by-step explanation:
i think of a number multiply it by 3 and subract 2 . The result is 14
Answers
Answer:
5.3
Step-by-step explanation:
Answer:
The answer is 5.3
Step-by-step explanation:
5.3x3-2= 13.9 but when you round its 14
there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?
Answers
Answer:
6
Step-by-step explanation:
Number of blueberries = 18
Number of strawberries = 3 times less than blueberries
Number of strawberries
18/3 = 6Answer: 6 strawberries
June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject
Answers
Answer:
2/3
Step-by-step explanation:
The prism's volume is the area of the base,
times the height,
Since the ratio of the areas is then the volume of
the cylinder is times the volume of the prism.
V = (4rº), or
Answers
Answer:2r(2r)
R
pi/4
pi times r cubed
Step-by-step explanation: just answer it e2020
What’s the answer to this
Answers
Answer:
A
Step-by-step explanation:
You can factor it as (2x - 1) (6x + 5) = 0
from which answer A follows.
How many solutions does this equation have?
–6 − 8r = 8 − r
Answers
Answer:
1
Step-by-step explanation:
–6 − 8r = 8 − r
− 8r - r = 8 + 6
-9r = 14
r = -14/9
Answer:
r =-2
Step-by-step explanation:
–6 − 8r = 8 − r
Add r to each side
–6 − 8r+r = 8 − r+r
-6 -7r = 8
Add 6 to each side
-6+6 -7r = 8+6
-7r = 14
Divide each side by -7
-7r/-7 = 14/-7
r =-2
help it's urgent!!!
Solve the system of linear equations by elimination.
x + y = 7
5x + 2y = 8
Answers
Answer:
(-2, 9)
Step-by-step explanation:
1) Multiply each term of the top equation by two.
2(x) + 2(y) = 2(7)
2x + 2y = 14
2) Use elimination to get rid of the y's
2x + 2y = 14
-(5x + 2y = 8)
Translates to...
2x + 2y = 14
+ (-5x - 2y = -8)
= -3x = 6
3) Solve for x by dividing each side of the equation by -3.
[tex]\frac{-3x}{-3} = \frac{6}{-3}[/tex]
x = -2
4) Plug in x to find the y-value
x + y = 7
-2 + y = 7
-2 + 2 + y = 7 + 2
y = 9
I hope this helps!
Suppose you have the same box with a volume of 400 in.^3in.
3
and a height of 5 in. You now also know that the box is 8 in. wide. What is the length of the box?
Answers
Answer:10 in.
Step-by-step explanation:
Given
Volume of box [tex]V=400\ in.^3[/tex]
height of box [tex]h=5\ in.[/tex]
width of box [tex]w=8\ in.[/tex]
Suppose l is the length of box then
Volume of the box is given by
[tex]V=l\times b\times h[/tex]
[tex]V=l\times 8\times 5[/tex]
[tex]400=40l[/tex]
[tex]l=\frac{400}{40}[/tex]
[tex]l=10\ in.[/tex]
Answer:
[tex]length = 10 \: in[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what's the distance between the points (5,3) and (2,3)
Answers
Answer:
3???
Step-by-step explanation:
Could some one plz help me with this question
P.S ignore the answer choices their wrong
25 Points
Answers
Answer:
A
Step-by-step explanation:
The formula for this type of interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:
[tex]A=1800(1+\frac{0.025}{2})^{2\cdot 12}=[/tex]
[tex]1800(1.0125)^{24}\approx 2425.23[/tex]
Now, she invests this into a new account, and you can set up the following equation:
[tex]A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=[/tex]
[tex]2425.23(1.0033333)^{84}\approx 3207.40[/tex], or option A.
Hope this helps!
What line represents the relationship
between cand d shown in the table?
Answers
Step by step explanation
D is double the amount of c therefore the y-axis will be pointing diagonally
the radius of a circle with a circumstance of 28 pie into units
Answers
Answer:
The radius is 14
Step-by-step explanation:
The circumference of the circle is 28 pi
C = 2* pi *r where r is the radius
28 pi = 2 pi *r
Divide each side by 2 pi
28 pi/2pi = 2 pi *r/2pi
14 = r
Is (A) correct or no????
Answers
Answer:
no
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Sea level is always represented by the number 0 unless you are reffering to how to get to see level in which case you'd have to fly down -1200 ft.
Question 4(Multiple Choice Worth 1 points) (03.05 MC) What does > −2 indicate about the position of and −2 on the number line? is located on the right of −2 is located on the left of −2 is located on the right of 0 and −2 is located on the left of 0 is located on the left of 0 and −2 is located on the right of 0
Answers
Corrected Question
What does [tex]-\dfrac35>-2[/tex] indicate about the position of [tex]-\dfrac35[/tex] and −2 on the number line?
Options
negative 3 over 5 is located on the right of −2
negative 3 over 5 is located on the left of −2
negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0
negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0
Answer:
(A)negative 3 over 5 is located on the right of −2
Step-by-step explanation:
Given the inequality: [tex]-\dfrac35>-2[/tex]
On a number line, numbers are written from the left to the right in ascending order.
Therefore:
Any number y to the right of another number x is greater than x, y>x.Any number a to the left of another number x is less than b, a<b.Negative numbers are to the left of 0.In the given inequality [tex]-\dfrac35>-2[/tex] , both numbers are negative and are therefore to the left of 0.
However, since [tex]-\dfrac35[/tex] is greater than -2, it is located to the right of -2 .
The correct option is A.
Answer:
Step-by-step explana
Simplify over the set of complex numbers sqrt(- 1)
Answers
Answer: i
Step-by-step explanation:
[tex]\sqrt{-1} =i[/tex]
A man came to the King and asked, "King, let me pick an apple from your garden." The King agreed to the request so the man went to the garden and saw that it was fenced off with three fences and that there was a gate in each fence. A guard stood next to each gate. "The King has allowed me to pick an apple from the garden," said the man to the first guard. "Go ahead," answered the guard, "but when you exit give me half of all the apples that you have, plus one more." The other two guards each said the same thing to the man. How many apples should the man pick in order to have one apple left for himself after he gives each of the guards all the apples they demanded?
Answers
Answer:
The Man must pic 22 Apples.
Step-by-step explanation:
Find the attachments
The parks department is installing a
fence along a scenic overlook. The area
to be lenced has 3 sides measuring 4V5
feet. 3 v 5 leet, and 5V5 feet. Find the
total amount of fencing that needs to be
installed.
Answers
Answer:
60 square feet.
Step-by-step explanation:
The area to be fenced has two rectangles and one square. We add the areas of the rectangles to that of the square to obtain the total amount of fencing required.
Area of 4 × 5 feet rectangle =(4 × 5) = 20 square feet
Area of 3 × 5 feet rectangle =(3 × 5) = 15 square feet
Area of 5 × 5 feet square =(5)² = 25 square feet
So the total amount of fencing that need to be installed is 20 + 15 + 25 square feet = 60 square feet.
Answer:
Step-by-step explanation:
Helppppppppppppppppppppppp
Answers
Answer:
9
Explanation: the answer is 9 because 15 is 3 times 5 so you would have to multiply 3 by 3 to mark it to scale.
Need help ASAP, marking first as brainliest. Rlly appreciate it.
Answers
Answer:
Choose answers B and D
Step-by-step explanation:
Answer:
Choose answers B and D.
Step-by-step explanation:
State the slope and y-intercept of the graph of the equation y = 3x + 2
The slope is _________.
The y-intercept is ____________-
Answers
Intercept is 2
