15/9 into simplest form will give brainlest

9514 1404 393

Answer:

  log₁₂(4)

Step-by-step explanation:

The applicable rule of logarithms (to the same base) is ...

  log(a^b) = b·log(a)

__

Then the expression simplifies as follows:

  [tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]

9514 1404 393

Answer:

  7.  obtuse

  8.  right

  9.  acute

Step-by-step explanation:

You can look at the difference ...

  a^2 + b^2 -c^2

where c is the longest side. You can classify the triangle based on the result:

  > 0 -- acute

  = 0 -- right

  < 0 -- obtuse

__

7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95  ⇒  obtuse

8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0  ⇒  right

9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5  ⇒  acute

_____

There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.

Answer:

Y-intercept

Step-by-step explanation:

The y-intercept is the part of the line that crosses the y-axis.

The red dot (where the arrow is pointing to) is the y intercept

Answer:

i think the area is 60 i added it up

Answer:

A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).

a. Write a system of equations to model the problem.

b. Is it possible that the water skier could collide with the taxi? Explain

Step-by-step explanation:

Answer:

I think it's 18z slices, please tell me if i'm wrong!

Step-by-step explanation:

6*3 = 18

18*z = 18z

I think it's 18z slices, please tell me if i'm wrong!

Answer:

34

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

2x=x+34

-x   -x

x=34

TADA! :D

Answer: 3.1p - 8.37

Step-by-step explanation:

To find the solution, you need to distribute 3.1 to each of the values within the parenthesis (p and -2.7, respectively).

3.1 x p = 3.1p

3.1 x -2.7 = -8.37

Combine components

3.1p - 8.37

Answer:

The height of cylinder is 9 cm

Step-by-step explanation:

Volume of cylinder = 198 cm³

Base Area = 22 cm²

We need to find height of the cylinder

The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]

Where [tex]Base\: Area = \pi r^2[/tex]

First we need to find radius r

[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]

So, we get radius r = 2.656

Putting values of volume and radius are to find height

[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]

So, the height of cylinder is 9 cm

Answer:

7 hours

Step-by-step explanation:

Answer: 2.45

Step-by-step explanation:

I use pythagorean theorem after i found the total of leg A and leg B

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

Answer:

At time t=0.5, the stone reaches a maximum height of h= 35.

Step-by-step explanation:

A quadratic function or function of the second degree is a polynomial function defined by:

f(x)=a*x² + b*x +c

The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values ​​of a function.

The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").

h represents the value of its abscissa (value of x).

k represents the value of its ordinate (value of f (x)).

The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]

The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c

In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:

[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]

Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:

f(0.5)=-16*0.5² + 16*0.5 +32

f(0.5)= 35

At time t=0.5, the stone reaches a maximum height of h= 35.

Answer:

(x , y) ----> (-x , y)

Step-by-step explanation:

(x , y) ----> (-x , y)

Example for 1. :

(-4,2) ---> (4,2)

Answer:

It would cost $ 34.5

Step-by-step explanation:

Given,

The cost of 3/4 lb of chopped walnut = $ 3.45,

So, the cost of 1 lb of chopped walnut = 4/3*3.45

=4*1.15

= $ 4.6,

Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut

= 7.5 × 4.6

= $ 34.5

Answer:

60%of 850

60×850÷100

=510

Answer:

3+37=40

3/40×1200=90kg

37÷40×1200=1110kg

Step-by-step explanation:

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Answer:

[tex]3x+37x=40x\\40x=1200kg\\x=\frac{1200}{40} \\x=30kg\\[/tex]

[tex]3x=30kg*3=90kg\\37x=30kg*37=1110kg[/tex]

Answer:

2/5

Step-by-step explanation:

First, we substract the y variables.

y - 2 - y - 3 = 1

2(1) = 2

Then we subtract the bottom numbers.

5-2 = 3

The answer is 2/5

Answer:

y = 4

Step-by-step explanation:

Answer:

(j,l)

Step-by-step explanation:

It's the only combination left

Answer:

19%

Step-by-step explanation:

What is the probability that those who ordered a large drink was a cold one?

27 drinks in total

5 cold

5/27*100%

Hope this helps!

divide cost by quantity. The lowest rate is the best buy:

26/8 = 3.25 each

30/5 = 6.00 each

15/4 = 3.75 each

39/12 = 3.25 each

45/10 = 4.50 each

The 8 for 26 and the 12 for 39 are both the same price each and are the better buys.

Answer:

y=⅘x-2

Step-by-step explanation:

8x-10y=20

-10y=-8x+20

y=⅘x-2

Answer:

80*5.2= 416

D: 416 miles

Answer:

True

Step-by-step explanation:

Answer:

-4x - 10

Step-by-step explanation:

Given the expression -2/3(6x+ 15)

Open the bracket

-2/3(6x+ 15)

= -2/3 (6x) -2/3(15)

= -2(2x) - 2(5)

= -4x - 10

hence the equivalent expression is -4x - 10

Answer:

opps type miss

Step-by-step explanation:

miss type

Answer:

Step-by-step explanation:

the last choice looks good

Answer: Its the bottom one i believe

Step-by-step explanation:

Domain slope stuff you don't want to hear have a good night :)

Answer:

There are 9838.5 feet in 3 kilometers.

Step-by-step explanation:

Given that:

There are 1.61 kilometer in a mile.

1 mile = 1.61 km

Also,

1 mile = 5280 feet

Comparing,

1.61 km = 5280 feet

1 km = [tex]\frac{5280}{1.61}[/tex] feet

1 km = 3279.50

3 km = 3279.50 * 3

3 kilometers = 9838.5 feet

Hence,

There are 9838.5 feet in 3 kilometers.

A distance of 3 kilometers is equal to 9,838.5 feet.

Given to us:

1 miles = 1.61 kilometers,

1 miles = 5,280 feet,

from the above to equations we can conclude,

[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]

So, now for 3 kilometers we can conclude that,

[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]

Hence, A distance of 3 kilometers is equal to 9,838.5 feet.

To know more visit:

https://brainly.com/question/1844971

Answer:

1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

Step-by-step explanation: