2/x^2 in indices form explanation. I know the answer is 2x^-2 but I want an explanation.

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

Answer:

D. 54

Step-by-step explanation:

54 + 54 = 108, and 72 + 180 equals 180 degrees.

This is due to the fact all angles in a triangle add up to 180 degrees.

Answer:

xy is equal to 15 Q understood

Answer:

Its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

Answer:

L = [tex]\sqrt{52^2 + 30^2}[/tex]

L = 60.033

Step-by-step explanation:

Answer:

hope this helppppp youuu

Answer:

201.14 , 502.85

Step-by-step explanation:

704/7 = 100.57

2*100.57 = 201.14

5*100.57 = 502.85

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C

Answer:

mark me brainliest..

Step-by-step explanation:

plz open the below file and hope it helps!!

Answer:

a: 1/22

Step-by-step explanation:

cross multiply 1/2a=11

which will give 22a=1

divide both sides by 22

to give a=1/22

Answer:

11 feet

Step-by-step explanation:

Use the circumference formula, C = [tex]\pi[/tex]d

Plug in 11[tex]\pi[/tex] as C, and solve for d:

C = [tex]\pi[/tex]d

11[tex]\pi[/tex] = [tex]\pi[/tex]d

11 = d

So, the diameter is 11 feet

Answer:

1250 g

Step-by-step explanation:

12.5% of 10 kg

12.5% of 10000 g

.125 of 10000 g

.125 * 10000 g

1250 g

Answer:

Step-by-step explanation:

[tex] \frac{12.5}{100} \times 10kg = x \: grams[/tex]

[tex]1.25kg = 1250 \: grams[/tex]

Answer:

x = - 3

Step-by-step explanation:

4 - (x + 1) = 6

- (x + 1) = 6 - 4

-x - 1 = 6 - 4

-x - 1 = 2

- x = 2 + 1

- x = 3

x = - 3

If you need the process explained more in depth just let us know

Answer:

x=-3

Step-by-step explanation:

firstly work out the brackets by multiplying the negative sign by the number and letter in the brackets

4-x-1=6

group the like terms

4-1-6=x

-3=x

hope this helps

Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

Answer:

Solution given:

1:

-1/8=[tex]\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}[/tex]

2. -64/27

=[tex]\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}[/tex]

Express in rational number

1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4

2. (1/5)=1/5*5/5=5/25

and

(-4/3)³(2/5)-⁴ ÷ (7/4)

(-4³/3³)(2-⁴/5-⁴)÷7/4

(-64/27)(5⁴/2⁴)÷7/4

(-64/27)(625/16)÷7/4

(-64*625/(27*16))*4/7

-2500/27*4/7

-10000/169

(-100/13)²

Answer:

2455.49

Step-by-step explanation:

[tex]3100=x(1+.06)^4\\x=2455.490356[/tex]

Answer:

155÷8= 19,375

The unit price of each wagon can be obtained by dividing (155 by 8)

luck in your tasks.

I'll do problem 1 to get you started.

set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}

there are 7 items in set A, so we can say n(A) = 7

set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}

Here we have n(B) = 5

set C = multiples of 3 and 5, between 5 and 25 = {15}

n(C) = 1 which we can rewrite as n(A and B) = 1.

-----------------------------------------

To summarize so far,

From those three facts, then we can say,

n(A or B) = n(A) + n(B) - n(A and B)

n(A or B) = 7 + 5 - 1

n(A or B) = 11

There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.

Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}

This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}

So we have 11 values we want out of 21 overall, which leads to the probability 11/21

Final Answer:   11/21

Answer:

Solution given:

total outcomes between 5 to25 inclusive

n[T]=25-5+1=21

multiple of 5n[5]=5,10,15,20,25=5

multiple of 3n[3]=6,9,12,15,18,21,24=7

now

probability of getting multiple of 5p[5]=5/21

and

probability of getting multiple of 3 p[3]=7/21=1/3

again

the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7

2:

.Good Limes n[GL] =10

Good Apples n[GA]= 8

Bad Limes n[BL] = 6

Bad Apples n[BA]= 6

total fruits n[T]=10+8+6+6=30

no of good apple n[G]=10+8=18

no of bad apple n[B]=6+6=12

again

I. Both are good limes

=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]

=10/30*9/29=3/29

II.Both are good fruits

=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]

=6/30*5/29=1/29

III. One is a good apple and the other a bad lime

=n[G]/n[T] *n[B]/(n[T]-1)

=18/30*12/29=36/145

Answer:

[tex]y+1=4(x+2)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the slope and the point

[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]

I hope this helps!

Answer:

I'm pretty sure it is 0.75

Step-by-step explanation:

It is a3 so that means it is the 3rd answer in the sequence.

Answer:

The sequence is adding 0.25

Answer:

12

Step-by-step explanation:

Ratio of adults to children = 3 : 11

Let

x = number of adults at the party

32 + x = number of children at the party

Ratio of adults to children = x : (32 + x

Equate both ratios

3 : 11 = x : 32 + x

3/11 = x : (32 + x)

Cross product

3 * (32 + x) = 11 * x

96 + 3x = 11x

96 = 11x - 3x

96 = 8x

x = 96/8

x = 12

x = number of adults at the party = 12

Answer:

a.-8x-12y

Step-by-step explanation:

i hope it will help u

The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

The equation of the line below which is given in the question

4x - 3y = 8

We have to determine which is perpendicular to the given equation of the line

First, we need to find the slope of the given equation.

4x - 3y = 8

- 3y = - 4x + 8

Divided by -3 into both sides of the above equation,

y = (- 4/-3)x + 8/(-3)

y = (4/3)x - 8/3

Comparing the above equation with the standard form of line y = mx + b

Here m is the slope of the line,  in this case, m = 4/3.

As per option (C),

- 3y = 8 + 4x

Divided by -3 into both sides of the above equation,

y = - 4/3x - 8/3

Here the slope of this line is - 4/3

Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.

Hence, the correct answer would be option (C).

Learn about the perpendicular lines here :

https://brainly.com/question/18271653

#SPJ2

Answer:

y = 3/4x -3

Step-by-step explanation:

3x - 4y = 12

Subtract 3x from each side

3x - 4y -3x =-3x+ 12

-4y = -3x+12

Divide by -4

-4y/-4 = -3x/-4 +12/-4

y = 3/4x -3

Answer

The value of y is 3/4x-3.

Explanation

Rearrange the equation to get y on one side of the equation.

3x-4y=12

-4y=12-3x

y=-3+3/4x

y=3/4x-3

Answer:

(x-6) ^2 + (y+7)^2 = 16

Step-by-step explanation:

We know the equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-6) ^2 + (y- -7)^2 = 4^2

(x-6) ^2 + (y+7)^2 = 16

Answer:

OAmalOHopeO

Answer:

1

Step-by-step explanation:

when x is 1 y is one

Answer:

39 minutes for both

Step-by-step explanation:

22+17=39

Answer:

It took Steve 39 minutes to finish both his math and science.

Step-by-step explanation:

17+22=39

======================================================

Explanation:

AC = 13 and BC = 8

Those two facts must mean AB = AC-BC = 13 - 8 = 5.

Similarly, CD = BD - BC = 12 - 8 = 4

So,

AD = AB + BC + CD

AD = 5 + 8 + 4

AD = 17

------------

Another way to approach this problem would be to say

AD = AC + BD - BC

AD = 13 + 12 - 8

AD = 17

This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.

Answer:

Segment AD is 17.

Step-by-step explanation:

We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.

To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).

To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)

Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)

The length of Segment AD is 17.