Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7

Answer:

using Pythagoras theorem

9² = 7² + a²

81 - 49 = a²

[tex] \sqrt{32} = a[/tex]

5.65 = a

on rounding off it becomes 6 cm

Answer:

16 hours

Step-by-step explanation:

120/4 = 30 miles per hour

480/30 = 16 hours

Answer:

-2

Step-by-step explanation:

Well since this line is parallel to y=3x-5 they must have the same slope

We are just solving for the y-intercept

We have a point (2,4) lets plug it into

y=3x+ b

4 = 3(2) +b

4= 6 +b

-2 = b

The value of b is -2

Answer:

B-value = -2

Step-by-step explanation:

In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.

Hope this helps!

Here is the diagram:

Diameter of the circle = 8 cm

Circumference of the circle.

[tex]\boxed{25.12\:cm}[/tex] ✅

We know that,

[tex]\sf\purple{Circumference\:of \:a\: circle \:=\:πd}[/tex]

[tex] = 3.14 \times 8 \: cm \\ = 25.12 \: cm[/tex]

[tex]\sf\red{Therefore,\:the\:circumference \:of\:the\:circle\:is\:25.12\:cm.}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

9

Step-by-step explanation:

Just count the many units to get to each point.

Answer:

y = -1/2x - 4

Step-by-step explanation:

Answer:3

Step-by-step explanation:

3-6*12

Answer:

Step-by-step explanation:

2/3*x=20

2x=20*3

x=60/2

x=30

Answer:

508.69

Step-by-step explanation:

...

First year :

9450 + 9450 × ( 6 / 100 ) =

9450 + ( 9450 × 6 / 100 ) =

9450 + ( 56700 / 100 ) =

9450 + 567 =

Rs 10,017

_____________________________

Second year :

10,017 + 10,017 × ( 6 / 100 ) =

10,017 + ( 10,017 × 6 / 100 ) =

10,017 + ( 60,102 / 100 ) =

10,017 + 601.02 =

Rs 10,618.02

______________________________

Third year :

10,618.02 + 10,618.02 × ( 6 / 100 ) =

10,618.02 + ( 10,618.02 × 6 / 100 ) =

10,618.02 + ( 63,708.12 / 100 ) =

10,618.02 + 637.0812 =

Rs 11,255.1012

_______________________________

4th year :

11,255.1012 + 11,255.1012 × ( 6 / 100 ) =

11,255.1012 + ( 11,255.1012 × 6 / 100 ) =

11,255.1012 + ( 67,530.6072 / 100 ) =

11,255.1012 + 675.306072 =

Rs 11,930.407272

_______________________________

5th year :

11,930.407272 + 11,930.407272 × ( 6 / 100 )

=11,930.407272 +( 11,930.407272 × 6 / 100)

= 11,930.407272 + ( 71,582.443632 / 100 )

= 11,930.407272 + 715.82443632

= Rs 12,646.23170832

_______________________________

Thus Mike have to pay approximately Rs 12,646 after 5 years.

A =?

P= 9456

r = 6% = 0.06

t = 5 yrs

Formula

A= P(1+r)^t

A= 9456×1.06⁵

A = 12646.23

the total amount that he had to pay was 12646 rs

Answer:

. (Y-4) = -(4)/(3) (x +3)

Step-by-step explanation:

Which equation represents this line in point-slope form?

Answer: B

Step-by-step explanation:

Answer:

[tex]\frac{1625z^{10}}{x^5}[/tex]

Step-by-step explanation:

[tex]\frac{13\cdot \:1\cdot \:x^{-5}}{5^{-3}z^{-10}}[/tex]

[tex]\frac{13x^{-5}}{\frac{1}{125z^{10}}}[/tex]

[tex]\frac{\frac{13}{x^5}}{\frac{1}{125z^{10}}}\\[/tex]

[tex]=\frac{13\cdot \:125z^{10}}{x^5\cdot \:1}[/tex]

refine: [tex]\frac{13\cdot \:125z^{10}}{x^5}[/tex]

multiply the numbers: 12 x 125 =1625

[tex]=\frac{1625z^{10}}{x^5}[/tex]

Answer:

multiply the numbers: 12 x 125 =1625

Step-by-step explanation:

Answer:

see details below

Step-by-step explanation:

First, assume >2 was meant to be &super;. or square.

then the given equations are:

A 3x^2-5=-8

b 2x^2=6x-5

c 12x=9x^2 +4

d -x^2 - 10x =34

In all cases, rearrange equation to identify parameters a, b and c, then calculate determinant using D=b^2-4ac.

A 3x^2x-5=-8

   3x^2-5x+8=0, a=3, b=-5, c=8

   D=b^2-4ac = (-5)^2-4*3*8 = 25 - 96  = -71  < 0   => 2 complex solutions

B 2x^2=6x-5

   2x^2-6x+5, a=2, b=-6, c=5

   D=b^2-4ac = (-6)^2-4*2*5 = 36 - 40 = -4  < 0   => 2 complex solutions

C 12x=9x^2 +4

   9x^2-12x+4, a = 9, b=-12, c=4

   D=b^2-4ac = (12)^2-4*9*4 = 144 - 144 = 0   => 2 real coincident solutions    

D -x^2 - 10x =34

   -x^2-10x-34, a = -1, b=-10, c=-34

    D=b^2-4ac = (-10)^2-4*(-1)*(-34) = 100 - 136 = -36   <0  => 2 complex  solutions    

Answer:

3.375 or 3.38 if rounded to the hundredths place.

Step-by-step explanation:

To get the mean of a set of numbers we add all the numbers in the set and then divide the sum by the amount of numbers in the set.

3+7+0+3+4+0+9+1= 27

Amount of numbers: 8

We divide 27 by 8.

27 ÷ 8= 3.375

3.375 is the mean, which we can round to 3.38 or further down to 3.4 for the tenths place and 3 for the ones place.

Answer:

12

Step-by-step explanation:

A = 1/2 x 8 x 3 = 12

Answer:

A. 27

B. 21

C. 19

D. 24

E. 10

Answer:

See below

Step-by-step explanation:

A plane is a flat, two-dimensional surface that extends infinitely.

A point is a precise location on a plane.

A line is a one-dimensional figure that has only its length that extends infinitely.

Points are collinear if they all fall on the same straight line.

Points or lines are coplanar if they all fall on the same plane.

Line segments are a line with two endpoints on each end of the segment, which have a definite length.

Rays are lines that have one endpoint and the other end of the line extends infinitely with no endpoint.

Opposite rays are two rays that have a common endpoint that point in opposite directions and form a straight line.

Answer:

x = 7

Step-by-step explanation:

Lets do the brackets first,

6 × 2x = 12

6 × -11 = -66

------

Calculate the x constant:

12x - 3x = 9x

-------

Then the ones with no x:

-66 + 15 = -51

51 + 12 = 63

-------

Lastly, divide

63 ÷ 9 = 7

-------

Have a good day :)

Answer:

Is the C and F

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Of course I'll do very simple explanation!

every time you see a straight line (nondiagonal) it measures 180°.

so if we're trying to solve for x in this case, we'll subtract 180° - 40° = 140°.

Then use the statement to solve for x

[tex]10x+50=140[/tex]

[tex]10x-50[/tex] = - 50    Subtract 50 from both sides

[tex]10x[/tex]         [tex]=[/tex]  90     Divide 10 from both sides

x             =   9      

Answer:

H0: p= 0.39   vs    Ha: p ≠ 0.39

Step-by-step explanation:

She wants to test whether this holds true for teachers in her state.

The test is the formulated into the hypotheses.

The null hypothesis would be

H0: p= 0.39   against the claim    Ha: p ≠ 0.39

The null hypothesis tells that the the proportion of teachers in her state that are members of a union is equal to the proportion of teachers in the US that are members of the labor union.

against the claim

That the the proportion of teachers in her state that are members of a union is  not equal to the proportion of teachers in the US that are members of the labor union.

Answer:

51.575

Step-by-step explanation:

[tex]s = \frac{9 + 12 + 17}{2} = 19[/tex]

[tex]area = \sqrt{19(19 - 17)(19 - 9)(19 - 12)} \\ = 51.575[/tex]

Answer:

Sorry dud it been long time I've not answered 0ne

Answer:

Heyy

Step-by-step explanation:

Did ya get the answer ???

Answer:

0.25 pints

Step-by-step explanation:

Hehe, i used goo. gle

r=6cm and h=7cm

Volume of right circular cone =31πr2h

                                                 =31×722×(6)2×7

                                                 =31×22×36

                                                 =264cm3

dunno whether the formula is correct or not!

Answer for this:

5.64