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3 years ago

How many tens are in 2,430

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

2430, there are 243 tens.

hope it helps

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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

7 0

2 years ago

Inverse of f(x)=3/2x +6

kvasek [131]

Answer:

f(x) = (x - 6)/(3/2)

Step-by-step explanation:

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3 years ago

8.25 × 10–4 in standard form.

Elanso [62]

The 10^-4 means that the decimal point is 4 places to the left of where it is in 8.25 (if the exponent was positive the decimal point would be to the right). If you move the decimal point 4 places to the left you get an answer of 0.000825 which is 8.25 * 10^-4 in standard form.

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2 years ago

27 + 71 = 98 + 1 - ______. What should come in the box to make the above number sentence true?

Andreas93 [3]

Answer:

Step-by-step explanation:

Read the article and review the phases of mitosis.

Mitosis

What are the four phases of mitosis?

prophase

metaphase

anaphase

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1 year ago

a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse

Sonbull [250]

Answer:

The power of horse is: P = 72000 W

Step-by-step explanation:

Given

F = 1800 N

v = 40.0 m/s

To determine

P = ?

Using the formula

$\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}$

The ⋅ in the formula represents a scalar product, defined by:

$\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta$

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is: P = 72000 W

3 0

2 years ago