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3 years ago

Maths question: Expand 3x (2x-1)

Mathematics

1 answer:

scZoUnD [109]3 years ago

3 0

<span>Expand 3x (2x-1)

3x outside must </span>multiply both terms inside the brackets:

= 6x^2 - 3x

Hope it helps

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Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)

Crazy boy [7]

Answer:

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Step-by-step explanation:

To find : Convert $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}$ into $\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Solution :

We convert units one by one,

$1\text{ m}^2=10.7639\text{ ft}^2$

$1\text{ sec}=\frac{1}{3600}\text{ hour}$

$1\text{ cal}=0.003968\text{ BTU}$

Converting temperature unit,

$^\circ C\times \frac{9}{5}+32=^\circ F$

$1^\circ C\times \frac{9}{5}+32=33.8^\circ F$

So, $1^\circ C=33.8^\circ F$

Substitute all the values in the unit conversion,

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{0.101061}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Therefore, The conversion of unit is $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

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3 years ago

2. A bicycling club has 58 members, of which 4 are males and the rest are females. What is the ratio of females to males?

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Answer: 54:4

Step-by-step explanation:

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2 years ago

Divide (24x^2-16x+18)÷(4x+2)

Aleksandr [31]

Answer:

6x-7+32/4x+2

Step-by-step explanation:

Divide using polynomial division

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3 years ago

What is the explicit rule for the arithmetic sequence shown in the graph?

Afina-wow [57]

Answer:

Step-by-step explanation:

Looking at the given graph, the slope of the line is expressed as

Slope = (y2 - y1)/(x2 - x1)

y2 = 19.5

y1 = 9.5

x2 = 6

x1 = 1

Slope = (19.5 - 9.5)/(6-1)

Slope = 10/5 = 2

The successive terms is increasing by 2

The formula for the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a is the first term of the sequence

n is the number of terms in the sequence.

d is the common difference.

From the information given,

a = 9.5

Tn = an

d = 2

The explicit rule for the arithmetic sequence will be

an = 9.5 + 2(n-1)

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5) According to the histogram, how many shipments were received that had at most 30 bulbs broken? A) 4 B) 5 C) 9 D) 13

MariettaO [177]

Answer:

The answer would be A) 4

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