Which expression do you get when you eliminate
the negative exponents of 4a²b-? ?
16a
a² (a)
4b(62)
1
4ab
4a?(4->)
16b(b-2)
4a?)(a)
12
Answers
Answer:
4(a^2)(a^3)/16(b)(b^2)
Step-by-step explanation:
The equivalent expression in the simplified form of the expression [4a²(b⁻²)] / [16(a⁻³)b] will be [4 · a² · a³] / [16 · b² · b].
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [4a²(b⁻²)] / [16(a⁻³)b]
Simplify the expression, then we have
⇒ [4a²(b⁻²)] / [16(a⁻³)b]
⇒ [4 · a² · a³] / [16 · b² · b]
The equivalent expression in the simplified form of the expression [4a²(b⁻²)] / [16(a⁻³)b] will be [4 · a² · a³] / [16 · b² · b].
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
Related Questions
PLEASE HELP!! can somebody please estimate what this equation would be or what the real answer would be!!! thank you
Answers
Answer:
see below
Step-by-step explanation:
-2 1/4 * 7.89 + 13/3 ÷ (-4.17)
Estimate
Multiply and divide from left to right
-9/4 * 8 + 4 ÷ -4
-18 -1
-19
The exact answer is -18.79166.....
Two similar prisms have surface areas that are 95
square inches and 1,520 square inches, respectively. How
many times larger is the second prism than the first prism?
Answers
Answer:
16 times larger
Step-by-step explanation:
Simple math here just do 1520/95=16 because your trying to find out how they scale to eachother, therefore finding out the difference in size by dividing.
Hope this helps:)
Solve the system of equations algebraically.
5x - 3y = 6
6x - 4y = 2
A.many solutions
B.(8, 14)
C.no solution
D.(9,13)
Answers
Step-by-step explanation:
It is a unique solution
5x-3y=6)*3
3x-2y=1)*5
15x-9y=18
15x-10y=5
-
________
y=13
x=9
Option D
20 POINTS
Triangle TUV is transformed according to the rule . (180º rotation about the origin)
What are the coordinates for U’ ?
a
(4, 6)
b
(4, –6)
c
(6, 4)
d
(6, –4)
Answers
Answer:
d. (6,-4)
Step-by-step explanation:
After 180° rotation:
(x , y) --> (-x,-y)
(-6,4) --> (6,-4)
SOMEONE HELP PLSSS
suppose your friends parents invest $10,000 in an account paying 5% compounded annually. what will the balance be after 5 years?
Answers
Answer:
12,762.82$
Step-by-step explanation:
10,000(1+0.05)^5
I need an answer quick!!!!
Answers
Answer:
investment 2 $400 Simple Interest Rate
Step-by-step explanation:
Which statement is true?
Answers
Answer:
all parallelograms are rectangles
Step-by-step explanation:
the have 2 sets of parallel lines that are equal in length
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answers
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?
Answers
Answer:
10626 different arrangements
Step-by-step explanation:
As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.
The formula for a permutation of n choose p is:
P(n,p) = n! / (n-p)!
So, using n = 23 and p = 3, we have:
P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626
So we have a total of 10626 different arrangements of first, second and third place.
What is the solution to the equation sqrt2x+6-sqrtX+4=1?
Answers
Answer:
the first answer is 5
the second answer is 23
Step-by-step explanation:
edge
Answer:
x=5 and the other one is x=23
Step-by-step explanation:
Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?
Answers
Answer:
6 and 18
6+6=12
18+6=24
12x2=24
Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B
Step-by-step explanation:
If r+s/r =3 and t+r/t =5, what is the value of s/t ? (A) 12 (B) 35 (C) 4 (D) 8 (E) 16
Answers
Answer:
The answer of this question is (D) 8
Bill is going to build a ramp to his front
door. He knows that the anele of elevation
for the ramp should be 13° and that that
base of the door is 9 ft, above the ground.
How long is the ramp?
Answers
Answer: Cos13= 9/x x is about 9.2
Step-by-step explanation: cos13 =about .97 9/9.2=.97
Simplify the expression (10 + 3i)(10 - 3i)
91
109
100-30i
100+30i
Answers
Answer:
(10 + 3i)(10 - 3i)=109
Step-by-step explanation:
[tex](10+3i)(10-3i)=(10^{2} -10*3i)+(3*10i-3*3i^2)\\ =100-30i+30i-9i^2\\=100-9*(-1)\\=100+9=109[/tex]
Answer:
B) 109
Step-by-step explanation:
I took the test and got a 100%
1. Show work and find the value of the circumference of the circle with a 12 cm radius.
Answers
Answer:
75.36
Step-by-step explanation:
3.14(pi) x 24(diameter) = 75.36(circumference)
The sum of three mixed numbers is 20 17/30
Two of the numbers are 6 1/3 and 8 5/6
What is the third number?
Answers
Answer:
Step-by-step explanation:
6 1/3 plus 8 5/6 is 15 1/6
20 17/30 minus 15 1/6= 5.4 or 5 2/5
Solve for x: 3x − 2 > 5x + 10.
Answers
Answer: hopefully this is what you need
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality form:
X < -6
Interval Notation:
(-♾, -6)
Solve for y in the circle below.
(400)
(4x)
D180°
(27-20)
y = 15
!
!
!
Answers
Answer:
y = 40.
Step-by-step explanation:
The opposite sides of a cyclic quadrilateral sum to 180, so:
3y + 2y - 20 = 180
5y = 180 + 20 = 200
y = 40.
What is 8,080 divided by 37 as a decimal? A) 218.378 B) 218.378 C) 218.378 D) 218.3783
Answers
Answer:
218.378 is the answer.
Answer:
D
Step-by-step explanation:
Because it is repeating decimal.
Hope this helps.
Calculate the following percent using fraction equivalents. 50% of 64
Answers
Answer:
Step-by-step explanation:
50% is [tex]\frac{50}{100}[/tex] but we're working with 64 units, not 100. So, we must find a number that represents 50 but in 64 units.
[tex]\frac{50}{100}=\frac{x}{64}[/tex]
If you solve for x, you get:
[tex]x=\frac{50*64}{100}\\ x=32[/tex]
[tex]\frac{50}{100}=\frac{32}{64}[/tex]
Median income is the
A. the middle income reported
B. income in the middle of the data set when incomes are arranged from least to greatest
C. total incomes reported divided by the total number of people surveyed
D. income reported most frequently
Answers
Median income is the income in the middle of the data set when incomes are arranged from least to greatest.
What is the median income?Median is a measure of central tendency that is used to describe the number that is in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the income of 3 workers for march are : $1000, $5000, $10,000. The median income is $5000.
To learn more about median, please check: https://brainly.com/question/14746682
#SPJ2
Help Resources
Find the maximum value of
C = 3x + 2y
Subject to the following constraints:
x > 0
y>0
x + 3y <15
4x + y <16
Enter
Answers
Answer:
Given:
x > 0
y > 0
And,
x + 3y < 15
4x + y < 16
<=>
4x + 12y < 60
4x + y < 16
<=>
11y < 44
<=> y < 4
Otherwise
x + 3y < 15
4x + y < 16
<=>
x + 3y < 15
12x + 3y < 48
<=>
11x < 33
<=>
x < 3
=> C = 3x + 2y < 3*3 + 2*4 = 9 + 8 = 17
=> C < 17
Hope this helps!
:)
The maximum value of C is an illustration of objective functions
The maximum value of C is 25
The objective function is given as:
[tex]\mathbf{C = 3x + 2y}[/tex]
The constraints are:
[tex]\mathbf{x + 3y < 15}[/tex]
[tex]\mathbf{4x + y < 16}[/tex]
[tex]\mathbf{x,y > 0}[/tex]
Plot the graphs of the constraints
From the graph (see attachment), the only optimal point is (3,4)
Substitute 3 for x and 4 for y in the objective function.
So, we have:
[tex]\mathbf{C = 3x + 2y}[/tex]
[tex]\mathbf{C = 3(3) + 2(4)}[/tex]
[tex]\mathbf{C = 9 + 8}[/tex]
[tex]\mathbf{C = 17}[/tex]
Hence, the maximum value of C is 17
Read more about optimizing functions at:
https://brainly.com/question/14778650
giving a lot of pts. Which expression is equivalent to 7(a+2) when a=6
7(6)
9(6)
7(6+2)
7(6+14)
Answers
Answer:
9(6)
Step-by-step explanation:
i just took the test and yea!!!!!!!!
Answer:
D. 7(6)+4
Step-by-step explanation:
I tried the answer above me but it was wrong that's why I got 90/100
but here is the REAL ANSWER
Please help! Surface Area
Answers
Answer: The surface area is 219.8 ft
Step-by-step explanation: the radius= 7 and the height=4
2(3.14 x 7) + (2 x 3.14 x 7) 4
43.96 + 175.84
219.8
What is the value of x, tanx=7 to the nearest hundredth?
a. 54.94 degrees
b. 56.94 degrees
c. 81.87 degrees
d. 85.94 degrees
Answers
the answer is C. 81.87
Bobby has 3 hats, 5 shirts, 10 pairs of pants, and 6 pairs of shoes, how many different outfits does Bobby have?
Answers
Answer:
900
Step-by-step explanation:
3*5*10*6=900
what is the first step in solving for “b”?
Answers
Answer:
c
Step-by-step explanation:
Answer:
c)
Step-by-step explanation:
josh built a circular flower bed in his backyard. the radius of the flower bed is 12 feet. he wants to find the circumference of the flower bed. he uses 3.14 for pi. what is the approximate circumference for the flower bed?
Answers
75.34
Step-by-step explanation:
1.To find the circumference, you have to multiply the diameter times pi (3.14).
2.The radius (12) is half of the diameter
3. The diameter (12x2) is 24.
4. 24x3.14 is 75.36
So, the approx. circumference is 75.36.
Answer:
Step-by-step explanation:
Answer:75ft
what is the answer to 18x-5 < 3(6x-2) ?
Answers
Answer:
No solution
Step-by-step explanation:
18x - 5 < 3(6x - 2) Distribute the 3 to (6x - 2)
18x - 5 < 18x - 6
-18x -18x Subtract 18x from both sides
-5 < -6 There is no solution because -5 is not less than -6.
If this answer is correct, please make me Brainliest!
Please help I don’t understand
Answers
Answer:
B
Step-by-step explanation:
