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nataly862011 [7]

3 years ago

13

120 miles in 1 3/4 hours as a unit rate

1 answer:

Zarrin [17]3 years ago

6 0

9514 1404 393

Answer:

68 4/7 miles/hour

Step-by-step explanation:

The unit rate is found by dividing miles by hours:

(120 miles)/(7/4 hours) = 480/7 miles/hour = 68 4/7 miles/hour

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What is the volume for the rectangular prism? ( Shown in picture )

frez [133]

i feel like im gucci mane in 2006 6

8 0

3 years ago

Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

4 0

3 years ago

find the surface area of rectangular prison with a width,length and height of 3m and 15m respectively

Shalnov [3]

Answer:

A=45m^2

Step-by-step explanation:

l*w

4 0

3 years ago

What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?

Inessa [10]

Answer:

$\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}$

Step-by-step explanation:

The formula of a volume of a rectangular box:

$V=lwh$

<em>l</em><em> - lenght</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

$V=50b^3+75b^2-2b-3=25b^2(2b+3)-1(2b+3)\\\\=(2b+3)(25b^2-1)=(2b+3)(5^2b^2-1^2)\\\\=(2b+3)\bigg((5b)^2-1^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(2b+3)(5b-1)(5b+1)$

Therefore the dinemsions of thisp prism are:

$(2b+3)\times(5b-1)\times(5b+1)$

5 0

3 years ago

Read 2 more answers

A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.

-BARSIC- [3]

Answer:

the height of a square pyramid is 139.3 cm

7 0

3 years ago