The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
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.
⇒ [(a⁻² × b²)/(a² × b⁻¹)]⁻³
Simplify the expression, then we have
⇒ [(a⁻² × b²) / (a² × b⁻¹)]⁻³
⇒ [(a² × b⁻¹) / (a⁻² × b²)]³
⇒ [(a⁴ / b³)]³
⇒ (a¹² / b⁹)
The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ5
Answer:
D. (b^3/a4)^-3
Step-by-step explanation:
boop boop edge dge
Multiply. -5•-1/7•4/8. Write your answer in simplest form.
Answer:
5/14
Step-by-step explanation:
Multiply.
(-5 × -1 × 4) / (7 × 8)
20/56
Simplify.
5/14
Answer:
The answer is [tex]\frac{5}{14}[/tex].
Step-by-step explanation:
1. -5 × [tex]\frac{-1}{7}[/tex] = [tex]\frac{5}{7}[/tex]
2. [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]
3. Simplify:
[tex]\frac{20}{56}[/tex] = [tex]\frac{5}{14}[/tex]
The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?
Answer:
Approximately 43.30 miles
Step-by-step explanation:
We use the given formula:
[tex]d=\sqrt{1.5\,h}[/tex]
replacing "h" with the value of the height of the Empire State Building (1250 feet):
[tex]d=\sqrt{1.5\,*1250} \\d= 43.30 \,\,\,miles[/tex]
Add. 7/4+9/-5 wrote your answer as a fraction in simplest form
Answer:
7/4 + 9/-5 =
Since the denominator of the second fraction is negative the sign will change from negative to positive
We will get
7/4 - 9/5
First find the LCM
LCM of 4 and 5 is 20
7/4 - 9/5 = 5(7) - 4(9)/ 20
Simplify
We get
35 - 36/20
= -1/20
Hope this helps
Answer:
-1/20
Step-by-step explanation:
7/4 + -9/5
We need a common denominator, which is 20
7/4 *5/5 + -9/5 *4/4
35/20 + -36/20
Add the numerators together
-1/20
Brainliest for whoever gets this right!
Please help ASAP!
Find the inequalities which describe the regions that’s shaded
Answer:
The lines that make up this region are y = 5 (light blue line), x = 2 (green line) and y = x (purple line). The graph tells us that the answer is y ≤ 5, y ≥ x and x ≤ 2.
Answer:
Green: x is less than or equal to 2
Purple: y is greater than or equal to x
The horizontal line near the top is y=6, so the blue shaded area below is y is less than or equal to 6
Step-by-step explanation: Solid lines mean equal to or < >
Sorry my keyboard doesn't have the real symbol for those.
Since the y-intercept for the purple area is 0, there is no constant to enter in the slope-intercept form: y=mx+b And since the slope is 1, there is no coefficient with x.
I need help awnsering these questions please get to me soon as you can
Answer:
Answer is given below with explanations.
Step-by-step explanation:
[tex]1)volume \: of \: cylinder = \pi \: {r}^{2} h \\ here \: radius \: (r) = 3 \: m \\ and \: height \: (h) = 8 \: m \: \\ volume \: of \: cylinder = \pi \: \times {3}^{2} \times 8 \\ \: \: = \pi \ \times 9 \times 8 \\ \: \: = 72\pi \\ \: \: = 226.195 \: {m}^{3} \\ 2)volume \: of \: pyramid \: = \frac{1}{3} \times base \: area \times height \\ base\: area = 25 \times 16 \\ \: \: = 400 \: {ft}^{2} \\ volume \: of \: pyramid \: = \frac{1}{3} \times400 \times 45 \\ \: \: = 6000 \: cubic \: feet \\ 5) \: volume \: of \: cone = \frac{1}{3 \: } \pi \: {r}^{2} h \\ here \: radius \: (r) = 6.2 \: m \: \\ height \: (h) = 6.8 \: m \\ volume \: of \: cone = \frac{1}{3 \: } \pi \: \times {6.2}^{2} \times 6.8 \\ \: \: = 273.73 \\ 6) \: volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {r}^{3} \\ here \: radius \:( r) = 6 \: in \\ volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {6}^{3} \\ \: \: = 452.39 \: cubic \: inches[/tex]
Questions are not clearly visible for me.
So forgive me.
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer:
The first one!
Step-by-step explanation:
the others don't work since there could be more possibilitys than just b and c.
D is just wrong (as you creati)
I seriously cited the sources you fool>;/
plagiarism, what joke is that! is it a joke? don't be crazy please! thanks!
For what values of the variables are the following expressions defined? •18/y
Answer:
function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]
Step-by-step explanation:
given data
number = 18/y
solution
in given value 18/y
If y=0, the function will be Undefined.
Because, the function is undefined if its denominator = 0
so that if we determine the function is defined, we will find out for what values the function is undefined and remove it
so, the function 18/y is defined for all values of y such that
[tex]y \in R, y\neq 0[/tex]
in 1997 the population of a small town was 900. If the annual rate of increase is about 0.6% which value below expresses the population five years later?
Answer:
[tex]927[/tex]
Step-by-step explanation:
[tex]900 \times (1+0.6\%)^5[/tex]
[tex]900 \times (1+0.6/100)^5[/tex]
[tex]900 \times (1+0.006)^5[/tex]
[tex]900 \times (1.006)^5[/tex]
[tex]900\times \:1.03036[/tex]
[tex]927.32594[/tex]
Answer:
927
Step-by-step explanation:
Total Population = 900
Annual rate of increase = 0.6 % of 900
=> [tex]\frac{0.6}{100}* 900[/tex]
=> 0.6 * 9
=> 5.4
Rate of increase in 5 years = 5 * 5.4
= 27
Population after five years = 900+27
=> 927
the value of x is __?
Give my answer in terms of pi and state it's units
Answer:
113.1 square mm
Step-by-step explanation:
A=πr2=π·62≈113.09734
Answer:
[tex]= 36\pi \: {mm}^{2} \\ [/tex]
Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times 6 \times 6 \\ = 36\pi \: {mm}^{2} [/tex]
please help! summer school is really getting to me :(
Answer:
yes their parallel
Step-by-step explanation:
their the same equation just one is negative they go the go next to each other but never touch
you can buy a 47 pound bag of flour for $11 or you can buy a 1 pound bag of flour for $0.45. Compare the per pound cost for the large and small bags.
Answer:
Step-by-step explanation:
$11/ 47 pound = $0.234 for 1 pound
the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.
Answer:
First, let's find the unit price.
$11 ÷ 47 = $0.23 per pound.
$0.45 ÷ 1 = $0.45 per pound.
As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.
We can also put the values on a number line to compare.
$0.23 $0.45
(larger bag) (smaller bag)
<-|---------o---------------------o---------|------------------------------------------|->
$0 $0.50 $1
As you can see, the larger bag is closer to zero.
Hence, the larger bag is the better buy.Hope this helped!
-Emma
Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC
Answer:
The A) ΔABC ≅ ΔEDC
Step-by-step explanation:
The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.
As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.
Answer:
A) triangle ABC is congruent to triangle EDC
Step-by-step explanation:
The AAS method of proving congruence of triangles uses two angles and a non-included side of the triangle. If two angles and the non-included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Let's see what we have in this problem:
<ACB and <ECD are congruent since they are vertical angles.
<A and <E are congruent by given.
Sides AB and ED are non-included sides and are congruent.
Since we have two angles and a non-included side of a triangle and the corresponding parts of another triangle, the triangles are congruent by AAS.
Now we need the statement of congruence.
Angles ACB and ECD are corresponding angles, so the letter C must appear in both triangles in the same position.
Angles A and E are corresponding angles, so the letters A and E must appear in both triangles the same position.
We already have CA and CE. The last angles left are corresponding angles B and D, so we get triangle CAB and triangle CED. Since a triangle may be named using any order of the vertices, we can rename the triangles ABC and EDC and maintain the same corresponding vertices.
Answer: A) triangle ABC is congruent to triangle EDC
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Answer:
[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers
Step-by-step explanation:
A vertical compression by a factor 9 is represented by the transformation:
[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]
Therefore the answer to the problem is:
[tex]g(x) = \frac{1}{9} \,x^2[/tex]
sPoint Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q? On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30. Point R is at (−40, 30), a distance of 60 units from point Q Point R is at (−40, −10), a distance of 20 units from point Q Point R is at (−40, −30), a distance of 60 units from point Q Point R is at (−40, 10), a distance of 20 units from point Q
Answer:
I'm pretty sure its c
Given:
MNOP is a parallelogram
Prove:
PM ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)
Answer:
Proved: PM ≅ ON
Step-by-step explanation:
A parallelogram is a quadrilateral with two opposite sides equal and parallel.
Find attached the diagram obtained from the information
From the above definition, quadrilateral MNOP is a parallelogram if:
Line MN is parallel to Line OP
Line ON is parallel to Line PN
From the diagram
Line MN is parallel to Line OP
Side MN is = side OP
Line ON is parallel to Line PN
Side ON is = side PN
Since the geometric size is equivalent
PM ≅ ON
Where ≅ means congruent to
Proved.
f(x) = -9x + 2 and g(x) = -9x + 6, find (f - g)(7)
Answer:
I think there is an error in the question because
(f-g) = -4
(f-g) (7) = NO SOLUTION
Step-by-step explanation:
[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]
Find the y value for the point that divides the line segment CD into a ratio of 4:1.
Segment CD is shown. C is at 9, 6 and D is at 5, 1.
2
6.2
3
2.8
Answer:
Y = 2
Step-by-step explanation:
For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.
Then point of division is given by
(n*x1+m*x2)/ m+n, (n*y1+m*y2)/ m+n
________________________________
Given point
c = (9,6)
d = (5,1)
ratio = 4:1
using the above formula , point of division is
x= (1*9+4*5)/ 4+1 y= (1*6+4*1)/ 4+1
x= (9+20)/ 5 y= (6+4)/ 5
x= 29/ 5 y= 10/ 5 =2
Thus, answer is y = 2
Answer:
2 is correct
Step-by-step explanation: I got it right on test
what value in place of the question mark makes the polynomial below a perfect square trinomial x^2+24x+?
A) 24
B) 48
C) 12
D) 144
Answer:
D
Step-by-step explanation:
Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.
Answer:
Answer D
Step-by-step explanation:
Take half of the coefficient of x: Take half of +24, obtaining 12. Now square this 12, obtaining 144. This is the desired value. Answer D is correct.
Find the ratio that is equivalent to 3:8. A. 8:11 B. 5:8 C. 6:16 D. 8:10
Answer:
c-6:16
Step-by-step explanation:
[tex]\frac{3}{8}[/tex]=[tex]\frac{6}{16}[/tex]
all you need to do is multiply by 2 but they are proportional/equivalent
Answer:
i would say it C 6 16
Step-by-step explanation:
because i said so
HURRY!!!! Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)
Answer:
The answer is c. (0,-1)
Step-by-step explanation:
So the unit circle is derived from a right triangle.
How do if figure out Pi X 8. I know the answer but I need to figure out how to get the answer. Please help if you understand.
Answer:
25.12
Step-by-step explanation:
round pi to first 2 digits after decimal point.
3.14 x 8 =25.12
WHAt is the equation of the graph below?
a coin lands on heads 200 times. the relative frequency of heads is 0.4 ? how many times was the coin thrown???????≈⊃ to whoever answer this question i know that u guys will see the points i have given and say this is sooooo crazzzzy. i will give points to u guys because it is my birthday guys. pleases write me nice comments. i love u all have a nice day everyone.
Answer:
The answer is 500 times
Step-by-step explanation:
hope this helps you
A triangle has the coordinates A( 4, –1), B(3, –3), and C(0, 2). Reflect the triangle over the y-axis and find the coordinates of its image.
Answer:
Step-by-step explanation:
For greater clarity, graph this triangle. If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex. The point B(3, -3) becomes D(-3, -3). Finally, the point A(4, -1) becomes E(-4, -1).
Answer:
A(4,-1)-> A'(-4,-1) . B(3,-3)->B'(-3, -3) . C(0,2) -> C' (0,2)
Step-by-step explanation:
The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers.
Answer:
240; 24
Step-by-step explanation:
Given that:
Sum of two numbers = 264
One number ends with '0'
Second number = first number without '0'
Let the first number be 'a'
Since the second number is the first number with '0' erased, then,
Second number = (a ÷ 10)
Therefore, the expression becomes :
a + a/10 = 264
Multiply the equation by 10
10a + a = 2640
11a = 2640
a = 2640/11
a = 240
Therefore ;
a = 240 ;
a/10 = 240/10 = 24
The numbers are 240 and 24
HELP ME NOW PLSSSSSS
Answer:
A-2/9
Step-by-step explanation:
assuming he has 3 each of nickles, dimes and quarters, because its says "equal number of coins each)
3x3=9
he only made two draws and he and needs 2 coins to make $.30. He could chose 1 nickle and 1 quarter.
so I think it would be 2/9
Answer:
5/9
Step-by-step explanation:
Hello,
To continue on the same logic as for other questions, let s check the possible outcomes, they are 9
First draw second draw sum of the value Is it >= 30c?
dimes dimes 20
dimes nickels 15
dimes quarters 35 Yes
nickels dimes 15
nickels nickels 10
nickels quarters 30 Yes
quarters dimes 35 Yes
quarters nickels 30 Yes
quarters quarters 50 Yes
For only 5 the sum is >= 30c
so the probability is 5/9
hope this helps
If K parallel to L find the value of a and the value of b.
Answer:
[tex]a = 30[/tex]
[tex]b = 40[/tex]
Step-by-step explanation:
Given
The attached triangle
Such that K is parallel to L
Required
Find the value of a and b
From the properties of parallel triangles;
Provided that k is parallel to l, then
[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]
[tex]60a = 40(a+15)[/tex]
Open Bracket
[tex]60a = 40*a+40*15[/tex]
[tex]60a = 40a+600[/tex]
Subtract 40a from both sides
[tex]60a - 40a = 40a - 40a + 600[/tex]
[tex]20a = 600[/tex]
Divide both sides by 20
[tex]\frac{20a}{20} = \frac{600}{20}[/tex]
[tex]a = \frac{600}{20}[/tex]
[tex]a = 30[/tex]
Similarly;
[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]
[tex]60b = 40(b+20)[/tex]
Open Bracket
[tex]60b = 40*b+40*20[/tex]
[tex]60b = 40b+800[/tex]
Subtract 40b from both sides
[tex]60b - 40b= 40b - 40b + 800[/tex]
[tex]20b= 800[/tex]
Divide both sides by 20
[tex]\frac{20b}{20} = \frac{800}{20}[/tex]
[tex]b = \frac{800}{20}[/tex]
[tex]b = 40[/tex]
3/25 of the current delivered to an induction motor is wasted as reactive current.
Express this fraction in decimal form.
Answer:
0.12
Step-by-step explanation:
3/25= 12/100
12/100=0.12
In the graph above what’s the distance between (5,3) and (5,-2)
Answer:
5
Step-by-step explanation:
The distance is 5 because when you count out the units on the graph, it is 5 apart.
To double check, you could also use distance formula, which would give you √25, which is also 5
Answer:
5 unitsSolution,
Let the points be A and B
A(5,3)----->(X1,y1)
B(5,-2)------>(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: \: = \sqrt{ {(5 - 5)}^{2} + {( - 2 - 3)}^{2} } \\ \: \: \: = \sqrt{ {(0)}^{2} + {( - 5)}^{2} } \\ \: \: \: = \sqrt{0 + 25} \\ \: \: \: = \sqrt{25} \\ \: \: \: = \sqrt{ {(5)}^{2} } \\ \: \: \: = 5 \: units[/tex]
hope this helps .....
Good luck on your assignment...