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2 years ago

23.4% of what number is 54,400

Mathematics

1 answer:

Gelneren [198K]2 years ago

8 0

23.4\100 of _=54400
0.234 x_=54400
54400\0.234
answer=232,478.632

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What is the length? In algebra DUE TOMORROW

Mamont248 [21]

The formula for volume is V=lhw, or length times height times weight. To find the length, you divide the volume by the height and width.

In this case, divide 3,060 first by 12, the height, then by 15, the width.

3,060/12=255
255/15=17

The length is 17.

8 0

3 years ago

Write out the first four terms of the series to show how the series starts. Then find the sum of the series or show that it dive

Nostrana [21]

Answer:

The first four terms of the series are

$(9+3),(\frac97+\frac35),(\frac9{7^2}+\frac3{5^2}),(\frac9{7^3}+\frac3{5^3})$

$\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}$ = 14.25

Step-by-step explanation:

We know that

Sum of convergent series is also a convergent series.

We know that,

$\sum_{k=0}^\infty a(r)^k$

If the common ratio of a sequence |r| <1 then it is a convergent series.

The sum of the series is $\sum_{k=0}^\infty a(r)^k=\frac{a}{1-r}$

Given series,

$\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}$

$=(9+3)+(\frac97+\frac35)+(\frac9{7^2}+\frac3{5^2})+(\frac9{7^3}+\frac3{5^3})+.......$

The first four terms of the series are

$(9+3),(\frac97+\frac35),(\frac9{7^2}+\frac3{5^2}),(\frac9{7^3}+\frac3{5^3})$

Let

$S_n=\sum_{n=0}^\infty \frac{9}{7^n}$ and $t_n=\sum_{n=0}^\infty \frac{3}{5^n}$

Now for $S_n$ ,

$S_n=9+\frac97+\frac{9}{7^2}+\frac9{7^3}+.......$

$=\sum_{n=0}^\infty9(\frac 17)^n$

It is a geometric series.

The common ratio of $S_n$ is $\frac17$

The sum of the series

$S_n=\sum_{n=0}^\infty \frac{9}{7^n}$

$=\frac{9}{1-\frac17}$

$=\frac{9}{\frac67}$

$=\frac{9\times 7}{6}$

=10.5

Now for $t_n$

$t_n= 3+\frac35+\frac{3}{5^2}+\frac3{5^3}+.......$

$=\sum_{n=0}^\infty3(\frac 15)^n$

It is a geometric series.

The common ratio of $t_n$ is $\frac15$

The sum of the series

$t_n=\sum_{n=0}^\infty \frac{3}{5^n}$

$=\frac{3}{1-\frac15}$

$=\frac{3}{\frac45}$

$=\frac{3\times 5}{4}$

=3.75

The sum of the series is $\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}$

= $S_n+t_n$

=10.5+3.75

=14.25

4 0

3 years ago

What is the slope of the line that passes through the points (-20, 18) and (30, 14)?

Nikolay [14]

Answer:

$-\frac{2}{25}$

Step-by-step explanation:

slope is the change in y over the change in x.

change in y is 14-18= -4

change in x is 30-(-20)= 50

so the answer is -4/50

we can factor out 2 from both equations to simplify the fraction. this gives us -2/25

6 0

2 years ago

Help solve! stuck on factoring

sweet-ann [11.9K]

Answer:

a = x and b = 4

Step-by-step explanation:

x^3 - 64 = (x - 4)(x^2 + 4x + 16)

a = x and b = 4

4 0

3 years ago

Read 2 more answers

What is the blank?<br> 43 + 29= __ + 60

ioda

Answer:

Step-by-step explanation:

43 + 29= __ + 60

72= __ + 60

72= 12 + 60

72=72

7 0

2 years ago

Read 2 more answers