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krek1111 [17]
3 years ago
9

What is the sum of the geometric sequence -4,24,-144, ... if there are 7 terms?

Mathematics
1 answer:
const2013 [10]3 years ago
4 0
S_7=-4+24-144+864-5184+31104-186624
S_7=-4(1-6+36-216+1296-7776+46656)
(-6)S_7=-4(-6+36-216+1296-7776+46656-279936)
S_7-(-6)S_7=-4(1+279936)
S_7=-\dfrac47\times279937=-159964
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A new washing machine used 3 2/4 gallons of water per full load to clean cloths. If John washed 2 2/3 loads of clothes, how many
kumpel [21]
We know that
3 2/4  -------------> is (3*4+2)/4--------> 14/4-------> 7/2
2 2/3 --------------> is (2*3+2)/3--------> 8/3

if a new washing machine used 7/2 gallons of water ------------> one full load <span>cloths
</span> X gallons of water------------------------------------------------------> 8/3 of load cloths<span>
X=(8/3)*(7/2)---------> X=56/6------->28/3 gallons of water
28/3--------> 9 1/3 gallons of water

the answer is
 </span>9 1/3 gallons of water
7 0
3 years ago
In the following figure, the square ABCD is inscribed in the circle centered at point P. What is the area of the circle?
Ainat [17]

Answer:

A_{Circle} \approx 39.24\: units^2

Step-by-step explanation:

Square ABCD is inscribed in a circle with center P such that BC = 5 units.

BD will be diagonal of the square as well as diameter of the circle.

BD = BC\times\sqrt 2

\implies BD = 5\sqrt 2

-> Diameter of the circle (d) = 5\sqrt 2

-> Radius of the circle (r) = 2.5\sqrt 2=3.535\: units

A_{Circle} =\pi(r)^2

\implies A_{Circle} =3.14(3.535)^2

\implies A_{Circle} =3.14(3.535)^2

\implies A_{Circle} =39.2381465

\implies A_{Circle} \approx 39.24\: units^2

8 0
2 years ago
Item 12
svet-max [94.6K]
<span>If the width is w, and the length is w+10, then the perimeter is

 2w+2(w+10),

 If that is the case you need

 4w+20-4,or 4w+16 tiles </span>
4 0
3 years ago
A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her
Ivahew [28]

Answer:

3.33 miles per hour

Step-by-step explanation:

The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.

So, to find the average speed of the entire trip, we can use the formula:

distance = speed * time

With distance = 10 and time = 3, we have:

10 = speed * 3

speed = 10/3 = 3.33 miles per hour.

7 0
2 years ago
Two spinners are shown. Look at the spinners as you respond to the statements below.
spayn [35]
Answer:
A. false
B. true
C. true
D. false
step-by-step:
A: probability of spinning a 4 on spinner A is 1/4 and probability of spinning a 4 on spinner B is 1/3.
B: there are 2 fours out of 6 possible options so that makes it 2/6, simplify that, it becomes 1/3.
C: 2 and 4 are even numbers so that makes 2/4 possible on spinner A. simplify 2/4 and that becomes 1/2.
D. spinning a 3 on spinner A would make it 1/4 (already simplified). spinning a 3 on spinner B would make it 1/6 (already simplified) therefore spinner A is greater.
7 0
3 years ago
Read 2 more answers
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