All categories

3 years ago

Which expression represents the series pictured?

Mathematics

2 answers:

Strike441 [17]3 years ago

6 0

Hello,
Answer A
$\sum _{i=0} ^4 {5^i}=5^0+5^1+5^2+5^3+5^4=1+5+25+125+625$

MAXImum [283]3 years ago

4 0

Answer:

A. $\sum_{i=0}^{4}5^{i}$

Step-by-step explanation:

We are given the series, $1+5+25+125+625$ .

It is required to find expression representing the given series.

As, we have,

$1=5^{0}$

$5=5^{1}$

$25=5^{2}$

$125=5^{3}$

$625=5^{4}$

Thus, it can be seen that the power is ranging from 0 to 4.

Hence, the expression representing the series is, $\sum_{i=0}^{4}5^{i}$

So, option A is correct.

You might be interested in

Solve inequalities.

grigory [225]

Answer:

10. 7n - 1 < -8

Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:

7n - 1 (+1) < - 8 (+1)

7n < - 8 + 1

7n < - 7

Isolate the variable, n. Divide 7 from both sides:

(7n)/7 < (-7)/7

n < -7/7

n < -1

n < -1 is your answer.

11. 3 > -7v + 4v

Combine like terms, then isolate the variable, v. First, add -7v and 4v together.

3 > (-7v + 4v)

3 > (4v - 7v)

3 > (-3v)

Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:

(3)/-3 > (-3v)/-3

3/-3 > v

-1 < v

v > -1 is your answer.

4 0

3 years ago

The angles of depression of the top and bottom of a building 50 meters

noname [10]

Step-by-step explanation:

snznwjma.nzjshzbsnznkakj to see you soon and inbox

7 0

3 years ago

Caroline resting heart is 52 beats per minute (bpm). When she starts running her heart rate increases 1.25% each second until it

horsena [70]

Answer:74.55 beat per minute

Step-by-step explanation:

Given

Heart beat is 52 beat per minute

i.e. $B=\frac{52}{60}$ beat per sec

If heart rate is increases 1.25 % each sec

suppose B is the heart beat at first second therefore heat beat at 2 nd second

$B_2=B+1.25 \% B$

$B_2=B(1+1.25 \% )$

For 3 rd sec

$B_3=B(1+1.25\%)+1.25\%B(1+1.25\%)$

$B_3=B(1+1.25\%)^2$

similarly for 3 sec

$B_{30}=B(1+1.25\%)^{29}$

$B_{30}=1.433B$

$B_{30}=1.242\ \text{beat per second }$

$B_{30}=74.55\ \text{beat per minute}$

4 0

3 years ago

The debate team is showing a video of their recent debate. The first showing begins at 3:15 p.m. The second showing starts at 4:

Ghella [55]

Given:
3:15 pm - start of first showing.
30 minutes break;
20 minutes late - 2nd showing.
4:50 - start of second showing.

4:50 - 0:20 = 4:30 should be the start of the second showing.
4:00 - 4:30 = 1/2 hour break
3:15 - 4:00 = duration of the 1st showing. 45 minutes in all.

4:50 + 0:45 = 5:35 pm end of the 2nd showing.

Yes, the 2nd showing will be over by 6:30 pm.

7 0

3 years ago

Se quiere construir un muro de 4 m de alto, 12 m de largo y 10 cm de espesor. ¿Cuántos ladrillos de 8 cm de alto, 20 cm de largo

Llana [10]

Answer:

3000

Step-by-step explanation:

Let's start by finding the volume of the wall. The volumen of the wall can be considered as the volume of a rectangular prism. The volume of a rectangular prism is given by:

$V_w=w*l*h\\\\Where:\\\\w=Width=10cm=0.1m\\l=Length=12m\\h=Height=4m$

So the volume of the wall is:

$V_w=0.1*12*4=4.8m^3$

Now, we can find the volume of the brick using the same method since a brick can be considered as a rectangular prism as well:

$V_b=w*l*h\\\\For\hspace{3}the\hspace{3}brick\\\\w=10cm=0.1m\\l=20cm=0.2m\\h=8cm=0.08m$

Hence:

$V_b=(0.1)*(0.2)*(0.08)=0.0016m^3$

In order to know how many bricks are required to build the wall, we just need to fill the wall volume with the number of bricks of this volume. So:

$V_w=nV_b\\\\Where\\\\n=Number\hspace{3}of\hspace{3}bricks$

Solving for n:

$n=\frac{V_w}{V_b} =\frac{4.8}{0.0016} =3000$

Therefore, we need 3000 bricks to build that wall.

Translation:

Comencemos por encontrar el volumen del muro. El volumen del muro puede considerarse como el volumen de un prisma rectangular. El volumen de un prisma rectangular viene dado por:

$V_w=w*l*h\\\\Donde:\\\\w=Espesor=10cm=0.1m\\l=Largo=12m\\h=Alto=4m$

Entonces el volumen del muro es:

$V_w=0.1*12*4=4.8m^3$

Ahora, podemos encontrar el volumen del ladrillo utilizando el mismo método, ya que un ladrillo también puede considerarse como un prisma rectangular:

$V_b=w*l*h\\\\Para\hspace{3}el\hspace{3}ladrillo\\\\w=10cm=0.1m\\l=20cm=0.2m\\h=8cm=0.08m$

Por lo tanto:

$V_b=(0.1)*(0.2)*(0.08)=0.0016m^3$

Para saber cuántos ladrillos se requieren para construir el muro, solo necesitamos llenar el volumen del muro con la cantidad de ladrillos de este volumen. Entonces:

$V_w=nV_b\\\\Donde\\\\n=Numero\hspace{3}de\hspace{3}ladrillos$

Resolviendo para n:

$n=\frac{V_w}{V_b} =\frac{4.8}{0.0016} =3000$

Por lo tanto, necesitamos 3000 ladrillos para construir ese muro.

4 0

3 years ago