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Orlov [11]
3 years ago
14

Determine the difference: 3.2 × 1010 – 1.1 × 1011 Write your answer in scientific notation.

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

-7.8*10^{10}

Step-by-step explanation:

we have

3.2*10^{10} -1.1*10^{11}

we know that

3.2*10^{10}=0.32*10^{11}

substitute

0.32*10^{11} -1.1*10^{11}=-0.78*10^{11}=-7.8*10^{10}

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The events committee buys 80 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation c
Slav-nsk [51]

Answer:

64 carnations and 16 roses.

Step-by-step explanation:

The events committee buys 80 flowers

The flowers are a combination of carnations and roses.

Each carnation costs $0.50 and each rose costs $2.50

The committee spends a total of $72

<u>Solution:</u>

<u />

Let there be  (c) carnations and (r) roses.

So,

c + r = 80 flowers

and $0.50c + $2.50 = $72

This forms a simultaneous equation:

c + r = 80 ... (i)

0.5c + 2.5r = 72 ... (ii)

Multiplying equation (i) by 0.5 and equation (ii) by 1 gives;

0.5c + 0.5r = 40 ... (i)

0.5c + 2.5r = 72 ... (ii)

Subtracting (i)  from (ii) gives;

0c + 2r = 32

2r = 32

r = 32 ÷ 2 = 16

Therefore, there are 16 roses

and 80 - 16 = 64 carnations

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5
DanielleElmas [232]

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that csc(x)=1/sin(x) and sec(x)=1/cos(x).

Thus:

\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}

=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }

Let's do the first part first: (Recall how to divide fractions)

\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}

For the second term:

\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}

So, all together: (same denominator; combine terms)

\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}

Note the numerator; it can be derived from the Pythagorean Identity:

sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)

Thus, we can substitute the numerator:

\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1

Everything simplifies to 1.

7 0
2 years ago
A square in the board below and a letter in the word ATTENTION is chosen at
kolezko [41]

Answer:

4 /15

Step-by-step explanation:

From the number cube :

Count of Numbers greater than 4 = 16

Sample space of number cube = 20

P(number greater than 4) = 16 / 20 = 4/5

Word : ATTENTION

Count of letters in attention = 9

Count of T's in attention = 3

P(choosing T) = 3 / 9 = 1/3

P(greater than 4, then T) = 4/5 * 1/3 = 4 /15

5 0
2 years ago
How to do 18.25 × 20.2
ludmilkaskok [199]
The answer is 368.65.
6 0
3 years ago
Read 2 more answers
18 divided by 6 multiples by 4-3 +6
yKpoI14uk [10]
15 is the answer i think
6 0
3 years ago
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