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2 years ago

Find the equation of a line in slope-intercept form with a slope of 5 that contains the point (3,8).

Mathematics

2 answers:

devlian [24]2 years ago

7 0

Answer:

y = 5x - 7

Step-by-step explanation:

y = mx + c

y = 5x + c

to find c, input given coordinates

8 = 5 x 3 + c

8 = 15 + c

-c = 15 - 8

-c = 7

c = -7

put that all together and you get:

y = 5x - 7

Step2247 [10]2 years ago

3 0

The answer would be y=5x+8

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which items of information are necessary to calculate the mass percent of an element in a given compound? select all that apply.

solmaris [256]

The mass percent of an element in a compound can be calculated by knowing specific items of information

The items of information necessary are;

The molar mass of the element, $MM_{element }$

The count of the number of moles of the element in the compound, n

The compound's formula

The compound's molar mass

Reasons:

The mass percent of an element in a compound is given as follows;

$Mass \ percent \ of \ element \ in \ a \ compound = \dfrac{MM_{element } \times n}{MM_{compound}} \times 100$

Where;

$MM_{element }$ = Molar mass of the element

$MM_{compound}$ = Molar mass of the compound

n = The number of moles of the element in the compound

Therefore, the items of information necessary to calculate the mass percent in a given compound are;

The molar mass of the element, $MM_{element }$

$MM_{element }$ , gives the mass per unit of the element in the compound

The count of the number of moles of the element in the compound, n

The number of moles of the element per mole of the compound gives the number by which the molar mass is multiplied, to get the mass of the element in the compound

The compound's formula

The formula of the compound is the source of information of the number of moles of the element present in a mole of the compound

The compound's molar mass

The molar mass of the compound is the mass to which the mass of the element in a mole of the compound is a fraction. That is the mass that divides the mass of the element in the calculation of the mass percent of the element

With the above information about the element in the compound, its mass percent can be calculated

Learn more here:

brainly.com/question/13648441

4 0

2 years ago

lim x rightarrow 0 1 - cos ( x2 ) / 1 - cosx The limit has to be evaluated without using l'Hospital'sRule.

zaharov [31]

Answer with Step-by-step explanation:

Given

$f(x)=\frac{1-cos(2x)}{1-cos(x)}\\\\\lim_{x \rightarrow 0}f(x)=\lim_{x\rightarrow 0}(\frac{1-(cos^2{x}-sin^2{x})}{1-cos(x)})\\\\(\because cos(2x)=cos^2x-sin^2x)\\\\\lim_{x \rightarrow 0}f(x)=\lim_{x\rightarrow 0}(\frac{1-cos^2x}{1-cos(x)}+\frac{sin^2x}{1-cosx})\\\\=\lim_{x\rightarrow 0}(\frac{(1-cosx)(1+cosx)}{1-cosx}+\frac{sin^2x}{1-cosx})\\\\=\lim_{x\rightarrow 0}((1+cosx)+\frac{sin^2x}{1-cosx})\\\\\therefore \lim_{x \rightarrow 0}f(x)=1$