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3 years ago

2/3÷(-14) show your work.

1 answer:

Nookie1986 [14]3 years ago

4 0

(2/3) / -14 is the same as (2/3) * -(1/14) since we can multiply by the reciprocal when dividing with fractions.

2/3 * -1/14 = -2/42 = -1/21

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Select all the correct answers.

irakobra [83]

Answer:

The ground exerts an equal force on the golf ball and a golf ball striking the ground is a collision

Step-by-step explanation:

6 0

3 years ago

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Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio

Viefleur [7K]

Answer:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

$a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}$

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

$\displaystyle S_n=a_1\frac{r^n-1}{r-1}$

We are given: S3=252, a1=192, thus substuting:

$\displaystyle 252=192\frac{r^3-1}{r-1}$

Dividing by 12:

$\displaystyle 21=16\frac{r^3-1}{r-1}$

Recall that:

$r^3-1=(r-1)(r^2+r+1)$

Substituting:

$\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}$

Simplifying:

$21=16(r^2+r+1)=16r^2+16r+16$

Rearranging:

$16r^2+16r+16-21=0$

16r^2+16r-5=0

Rewriting:

$16r^2-4r+20r-5=0$

Factoring:

$4r(4r-1)+5(4r-1)=0$

$(4r-1)(4r+5)=0$

Solving:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Both solutions are valid

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3 years ago

If a quadrilateral does not have two pairs of opposite sides that are parallel, then it may be a _____.

vivado [14]

It may be a trapezium

8 0

3 years ago

How do you add a decimal

fiasKO [112]

When adding decimals always line them up
for example: 5.23
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see simple hope I helped

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3 years ago

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How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest

Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

$I=\frac{P\times r\times t}{100}$

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

$I=\frac{P\times r\times t}{100}$

$t=\frac{I\times 100}{P\times r}$

$=\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days$

Thus, it will take 146 days to earn an interest of $80.

4 0

3 years ago