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Pie
3 years ago
6

If y varies directly as x, and y = - 4 when x=32, find why when x=3

Mathematics
1 answer:
Sonbull [250]3 years ago
8 0
Attached the solution and work.

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Consider the first four terms of an arithmetic sequence below.
VMariaS [17]
7, 13, 19 and 25 have a common difference:  6.  
6 added to 7 gives us 13; 6 added to 13 gives us 19, and so on.

Explicit formula:  a(n) = 7 + 6(n-1), where 7 is the first term and n is the counter (1, 2, 3, ...).

The first term is 7 (given).  This corresponds to n=1.

The second term is a(2) = 7 + 6(2-1), or 7 + 6, or 13.  This corresponds to n = 2.

and so on.


6 0
3 years ago
Which of these is the algebraic expression for "3 less than the product of 4 and some number?"
svet-max [94.6K]

Answer:

4s - 3

hope this helps!

Step-by-step explanation:

7 0
3 years ago
Which of these is equivalent to 1 over x to the power of 5 ? 1 fifth x negative x to the power of 5 x to the power of 5 x to the
Kisachek [45]

Answer:

x^-5 = x to the power of negative 5

Step-by-step explanation:

Which of these is equivalent to 1 over x to the power of 5 ?

Mathematically this is expressed as

(1/x)⁵

We have a rule when it comes to expressing power

(1/a)^b = a^-b

Hence, applying this rule to our question

(1/x)⁵ = (1/x)^5

= x^-5

This is written in words as:

x to the power of negative 5

5 0
3 years ago
The fuel consumption rate of 10 vehicles is sampled. The rates, measured in miles per gallon, are 32, 24, 14, 34, 26, 27, 31, 16
blondinia [14]
The best estimate of the population mean is the sample mean

first calculate the sum of all samples:
32+24+14+34+26+27+31+16+18+26=248
then divide by the amount of samples to get the samples mean: 248/10=24.8 miles per gallon
8 0
3 years ago
Camacho is buying a monster truck. The price of the truck is xxx dollars, and he also has to pay a 13\%13%13, percent monster tr
alexandr402 [8]

Although the information has been presented in a baffling way in this question, but I think I understood the expressions.

We have been given that price of monster truck is x dollars and there is an 13% monster truck tax.

We can express the monster truck tax amount as\frac{13}{100}\times x = 0.13x.

Therefore, the total amount including tax will be x+0.13x = 1.13x.

We can now match each statement with its equivalent expression as shown below

The price of Camacho’s new truck before tax  = x

The amount of tax Camacho pays = 0.13x

Camacho’s total bill for the monster truck = 1.13x

None of these = 0.87x


6 0
3 years ago
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