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Roman55 [17]
3 years ago
13

Find the fourth term of the sequence given by the rule tn=4(2)^n-1

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0
Answer: Choice A) 32

-----------------------------------------------
-----------------------------------------------

Plug n = 4 into the formula

tn = 4(2)^(n-1)
t4 = 4(2)^(4-1) ... every n is replaced with 4
t4 = 4(2)^3
t4 = 4(8)
t4 = 32
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suppose for everyone cup of rice I add 2 3/4 cups of water. If I add 2 1/2 cups of rice, how much cups of water do I add?
Brrunno [24]

Answer:

6 7/8

Step-by-step explanation:

Since 1 cup of rice is added to 2 3/4 water

We are to determine the Amount of water to be to 2 1/2 cups of rice

Let the unknown number for water be x

So let's solve

1 cup of rice=11/4 water

5/2 cup of rice=x water

Cross multiply

x=5/2×11/4

x=55/8

X=6 7/8

Therefore,6 7/8 water is needed

8 0
3 years ago
ERRE
n200080 [17]

Answer:

<em>The total percentage discount was 19%</em>

Step-by-step explanation:

<u>Percentages</u>

Suppose the original price of the shirt was x.

A discount of 10% reduces the price by:

10*x/100 = 0.1x

Thus, the discounted price is:

x - 0.1x = 0.9x

The second discount reduces the price by:

10*0.9x/100 = 0.09x

The new discounted price is:

0.9x - 0.09x = 0.81x

With respect to the original price, the last discounted price has been discounted by:

x - 0.81x = 0.19x

This means the total percentage discount was 0.19*100 = 19%.

The total percentage discount was 19%

5 0
3 years ago
Where do I put the parentheses:<br>7+3x4-1=39
allsm [11]
(7+3)x(4-2)=39
I hope that helps
8 0
2 years ago
Read 2 more answers
The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use
Len [333]

Answer:

The radius of the volleyball is 8.3 inches

Step-by-step explanation:

Given

r = \sqrt{\frac{3v}{4\pi}}

v = 288

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

r = \sqrt{\frac{3v}{4\pi}}

r = \sqrt{\frac{3 * 288}{4 * 3.14}}

r = \sqrt{\frac{864}{12.56}}

r = \sqrt{68.7898089172}

r = 8.29396219651

r = 8.3\ inch (Approximated)

Hence;

<em>The radius of the volleyball is 8.3 inches</em>

3 0
2 years ago
Read 2 more answers
Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the
Elena L [17]
PART 1:55-21=35
             35/60=<span>.58333 
             360</span>×<span>.58333 =210 DEGREES
             </span><span>210*pi/180 = 3.665 RADIANS

PART 2: </span><span>(pi) x 2r x .58333 
              </span><span>3.14 x 12 x .58333 = 21.98 in 

PART 3: </span><span>5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians 

PART 4: </span><span>2.618 radians * 180/pi = 150° </span>
<span>             x coordinate = 6(cos 150°) = -5.196 </span>
<span>             y coordinate = 6(sin 150°) = 3 </span>
<span>             the coordinates would be (-5.196, 2)</span>
7 0
3 years ago
Read 2 more answers
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