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Novosadov [1.4K]
3 years ago
11

a taxi begins at 4,-3 it travels 3 blocks west and 5 blocks north to pick up a customer. what are the customers coordinates

Mathematics
1 answer:
Flauer [41]3 years ago
8 0
1, 2

will be the customers cordinate
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-3(3+x)+4(x-6)=-4 Please help me with this question
dsp73

Answer:

\boxed{ \bold{ \huge{ \sf{x = 29}}}}

Step-by-step explanation:

\sf{ - 3(3 + x) + 4(x - 6) =  - 4 }

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒\sf{ - 9 - 3x + 4x - 24 =  - 4}

Collect like terms

⇒\sf{x - 9 - 24 =  - 4}

Calculate

⇒\sf{x - 33 =  - 4}

Move 33 to right hand side and change it's sign

⇒\sf{x =  -  4 + 33}

Calculate

⇒\sf{x = 29}

Hope I helped!

Best regards!!

7 0
3 years ago
Determine how many times larger is 6 x 10^4 than 6 x 10^2
goldfiish [28.3K]

Answer:

100

Step-by-step explanation:

6 . 10^4 = 6 . 10000 = 60000

6 . 10^2 = 6 . 100 = 600

60000 ÷ 600 = 100

8 0
2 years ago
The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories
ziro4ka [17]

The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.

Answer: In the given regression equation, the calories are in thousands. Therefore, the slope 0.005 (0.005 x 1000 =5 calories)  means the consumption is increasing at a rate of 5 calories per year.

Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct

4 0
3 years ago
Read 2 more answers
3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l
sergeinik [125]

Answer:   <em>3.   The correct option is:  A) 3.57 decibels.</em>

<em>6.   The correct option is:  B) ln(\frac{x^2}{c^5})</em>

Step-by-step explanation:

3.    Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So,  I_{0}= 100 and I= 44

Using the formula L= 10log(\frac{I}{I_{0}}), we will get.....

L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57

<em>(Rounded to the nearest hundredth)</em>

So, the loudness would be reduced by 3.57 decibels.


6.    Given expression is:    2ln(x) - 5ln(c)

First applying the property m*log(x)= log(x^m) , we will get.....

ln(x^2)-ln(c^5)

Now using the formula, log(a)-log(b)= log(\frac{a}{b}), we will get....

ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})

Thus, the answer as a single natural logarithm is   ln(\frac{x^2}{c^5})

8 0
3 years ago
Betty can travel 61 centimeters in 5 minutes. Please calculate Betty's rate of speed. (round to 2 decimal places)
iren [92.7K]

Answer:

61/5= 12.2 centimeters per minute

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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