Find the length of BC .

72
54
40.5
108

Answer:

[tex]x=\frac{5}{k}[/tex]

Step-by-step explanation:

Given expression is,

[tex]\text{log}_{3^k}243=x[/tex]

By using the law of logarithm,

[tex](3^k)^x=243[/tex]

[tex]3^{kx}=243[/tex]

[tex]3^{kx}=3^5[/tex]

By comparing exponents on both the sides of the equation,

[tex]kx=5[/tex]

[tex]x=\frac{5}{k}[/tex]

Therefore, [tex]x=\frac{5}{k}[/tex] will be the answer.

Answer: 30 ft

hope this helped :)

Answer:

It is a rational number.

Step-by-step explanation:

Rational numbers can be represented as a ratio/fraction. So whole numbers are rational with a denominator of 1.

This number can be written as 177/100. It is rational.

Answer:

D. 140

Step-by-step explanation:

In the equation, [tex]ax^2+bx+c=0,[/tex] the discriminant can be found with [tex]b^2-4ac[/tex].

In this equation,

the discriminant would be: [tex](-10)^2-4(2)(-5)=100+40=140[/tex]

Answer:

D. 140

Step-by-step explanation:

D = b² - 4ac

So, let's identify our values.

a = 2

b = -10

c = -5

Now, we can plug in our values.

D = -10² - 4(2)(-5)

D = 100 + 40

D = 140

Answer:

Yes

Step-by-step explanation:

The two objects are plotted at different points in graph and one gets the difference of points y coordinates (change in y) and change in x too.

Then one can look for distance as hypotenous and change in y as height and change in x as the base of our imaginery triangle.

Therefore, from Pythagoras Theoreom:

hyptenous² = height² + base²

Distance² = change in y² + change in x²

Distance = √change in y² + change in x²

Answer:

7 x 6 = 42

7 + 6 = 13

Step-by-step explanation:

Math

Answer:

No, it is not a solution

Step-by-step explanation:

Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;

7x-2≤y<4x+7

Equate both values of y, the point of intersection occurs when;

7x-2 = 4x+ 7

7x - 4x = 7 + 2

3x = 9

x = 9/3

x = 3

Substitute x = 3 into y = 7x - 2

y = 7(3) - 2

y = 21 - 2

y = 19

Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect

Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).

Answer:

y= -5x-5

Step-by-step explanation:

because m=y2-y1/x2-x1 and then you plug in one of the point to find the y intercept or b and the answer you should get is -5 for be so it ends up being y= -5x-5

Answer: 18/5

Step-by-step explanation:  hope this helps pls mark me brainliest

Answer:

$23356.5

Step-by-step explanation:

Given data

Cost =  $34,500

rate= 7.5%

Time= 5 years

The expression for the depreciation is

A= P(1-r)^t

substitute

A= 34500(1-0.075)^5

A= 34500(0.925)^5

A= 34500*0.677

A=$23356.5

Hence the worth will be $23356.5

Answer:

X=4

Step-by-step explanation:

3x-2y=8

x+y=6

multiply second equation by 2 so you can eliminate y

2(x+y)=2(6)

2x+2y=12

now add two equations together

first equation:                          3x-2y=8

modified second equation     2x+2y=12

added together eliminates y. 5x+0=20

                                                   X=4

Answer:

.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Using the table of 150 students, we can configure probabilities.

18 students participate in tennis, so the probability of a student participating in tennis is 18/150, or 3/25 simplified.

45 students participate in football, so the probability of a student participating in football is 45/150, or 3/10 simplified.

12 students participate in gymnastics, so the probability of a student participating in gymnastics is 12/150, or 2/25 simplified.

9 students participate in volleyball, so the probability of a student participating in volleyball is 9/150, or 3/50 simplified.

Answer:

Step-by-step explanation:

What is 28/20 Simplified? -

7/5 is the simplified fraction for 28/20.

5/7 is the simplified fraction for 20/28

Answer:

28/20 would be 14/10 which would be 1 and 4/10.

20/28 would be 10/14 which would be 5/7

Step-by-step explanation:

you just cut it in half until you can't anymore.

Answer:

The answer is

[ X ][  Y ]

[ 1  ][   7 ]

[ 2 ][   9 ]

[ 5 ][  15 ]

[ 7  ][  19 ]

Brainiest please and lot of likes:)

Answer: JUST DO IT!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Siplified 1.6y

-3

y=x + 5

A ( To check a system of equations by substitution, you plug your values for x and y into the original equations. If both simplified expressions are true then your answer is correct.

For example: To check if  

(

2

,

−

3

)

was the correct solution for the system of equation:  

y

=

−

x

−

5

,

substitute 2 for x and -3 for y into each equation

They intersect and the lines are the same as parallel. They share the same line as going x to y.

sorry if its a little bit scrambled (i did this last year)

thanks if you give branliest as well

Answer:

simplify:  9.59x(2^6)+7x^8

613.76x+7x8   =7x^8+613.76x

factor: 7x^8+613.76x

x(7x^7+613.76)  =x(7x^7+613.76)

Answer:

hi, I need the weights provided in the question to answer this question

Answer:

7

Step-by-step explanation:

So first you would have to know the formula for the volume of a sphere to solve for the radius. The formula is:

V=4 /3πr3

so now we plug in the variables

1,436=4/3πr3

divide by pi

457.09=4/3r3

divide by 4/3 (multiply by the reciprocal which is 3/4)

342.82=r3

Take the third root to get r by itself

r=6.998 or 7 if you will.

Answer:

1530 cubic centimeters

Answer:

2: 45     3: 45   4: 135    5: 135   6: 45   7: 45

Step-by-step explanation:

they are vertical angles meaning they will mirror each other, subract 135 from 180 and you will get the other angle

A negative number always factors as a positive times a negative.

I would reccomend doing it systematically, like I have done below.

When ding it this way, you will see that -8 and +3 satisfy both requirements.

Step-by-step explanation:

15) 13x = 130 x = 10

16) 16x+2+43x+1 = 180 59 x = 177 x = 3

17) 29x+3+31x-3 = 180 60x = 180 x = 3

18) 16x -5 + -5 + 22x = 180 38x = 190 x = 5

Answer:

84

Step-by-step explanation:

Answer: A notebook cost $2.25

A pen cost $3.50

Step-by-step explanation:

Let the price of notebook be n

Let the price of pens be p.

Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:

4n + 2p = 16 ..... equation i

Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:

5n + p = 14.75 ..... equation ii

Combining both equations will give us:

4n + 2p = 16 ..... i

5n + p = 14.75 ...... ii

Multiply equation i by 1

Multiply equation ii by 2

4n + 2p = 16 ....... iii

10n + 2p = 29.50 ...... iv

Subtract equation iii from iv

6n = 13.50

n = 13.50/6

n = 2.25

A notebook cost $2.25

Since 4n + 2p = 16 from equation I

4n + 2p = 16

4(2.25) + 2p = 16

9 + 2p = 16

2p = 16 - 9

2p = 7

p = 7/2

p = 3.5

A pen cost $3.50

a. 11

b. 48

c. 27

Hope this helped \(￣︶￣*\))