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sp2606 [1]
3 years ago
12

Write the following expression in the form of 4^n

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

Answer:

4^7

Step-by-step explanation:

4 * 4 * 4 * 4 = 256

4 * 4 * 4 = 64

Since the number is the same, another way to write the expression is 4^7.

256 * 64 = 16,384

Hope I helped! Please give me brainliest!

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Solve for x: -8 < x-1 < 5
olchik [2.2K]

Answer:

6 > x > -7

Step-by-step explanation:

-8 < x - 1 < 5

+1 + 1 + 1

_____________

-7 < x < 6

The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

5 0
3 years ago
20 POINTS! WILL MARK BRAINLIEST! ANSWER QUICK! GOOD LUCK! :) (EASY)
motikmotik

Answer:

Ken can walk 40 dogs in 8 hours.

How many dogs can Ken walk in 12 hours?


Step-by-step explanation:


8 0
3 years ago
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Which logarithmic equation is equivalent to the exponential equation below? 70.81 = ea
bixtya [17]
Loge 70.81 = a
Log to the base e is also  written as ln
ln 70.81 = a
4 0
3 years ago
Read 2 more answers
Given that the points (-1,6). (3,6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than the len
Ksju [112]
Since the given coordinates are already in order,
then and two consecutive distances between the coordinates will give length and breadth,

Using distance formula,
\sqrt{ {( - 1 - 3)}^{2}  +  {(6 - 6)}^{2} }  \\  =  \sqrt{ { (- 4)}^{2} }  \\  =  \sqrt{16 }  \\  = 4
(we'll not consider the negative value since distances can't be negative)

Applying this again on 2nd and 3rd coordinates,
\sqrt{ {(3 - 3)}^{2} +  {(6 - 1)}^{2}  }  \\  =  \sqrt{ {5}^{2} }  \\  = 5
(we'll not consider the negative value since distances can't be negative)

Since length's always gotta be greater than bredth
therefore,
the difference will be 5-4= 1 units


Hence width is 1 unit shorter than length.



Note: Unit used is "unit/s"
6 0
4 years ago
Jeff bicycles 126 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreased his speed by 4 m
weqwewe [10]

Given Information:

Distance = 160 miles

Required Information:

Rate = r = ?

Answer:

Rate = r = 20 mph

Step-by-step explanation:

Recall that the rate is given by

Rate = distance/time

r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\

It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.

Mathematically,

\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\

Simplify the equation

\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\

Now we are left with a quadratic equation.

We may solve the quadratic equation using the factorization method  

r^2 - 4r-320 =0 \\\\r^2-20r+16r-320=0 \\\\r(r-20)+16(r-20)=0 \\\\(r-20) (r+16)=0 \\\\

So,

(r-20) = 0 \\\\r = 20 \\\\

OR

(r+16)=0 \\\\r = -16 \\\\

Since rate cannot be negative, discard the negative value of r

Therefore, the rate is

r = 20 \: mph

3 0
4 years ago
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