What is this number in standard form?

16. The temperature of an oven at 0°C has an

butalik [34]

Answer:

300K

Step-by-step explanation:

T = t + 273 °C

T is absolute temperature

t = given temperature (27°C in this case)

Hence T = 27 °C + 273 °C (standard temperature)

T = 300K (since absolute temperature is measured in K from the question's preamble)

6 0

2 years ago

Slope intercept form that passes though the point (-2,-3) and has a slope of 5/2

olganol [36]

$\text{Given that,}\\\\(x_1,y_1) = (-2,-3), ~~\text{and slope,}~~m = \dfrac 52\\\\\\\text{Now,}\\\\y -y_1 =m(x-x_1)\\\\\implies y +3 = \dfrac52 (x+2)\\\\\implies y = \dfrac 52(x+2) -3\\\\\\\implies y = \dfrac{5}2 x + 5 -3 \\\\\\\implies y = \dfrac 52 x + 2\\\\\\\text{This is the slope-intercept form(y =mx+b)}.$

8 0

2 years ago

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A line is defined by the equation. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this poi

emmainna [20.7K]

The answer to that would be 0 because the line goes through the orgin witch the points are 0

5 0

3 years ago

An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera

atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

$Cost = 51.275$

Step-by-step explanation:

The given parameters can be summarized as:

$\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}$

Where: x = Soybeans and y = Oats.

So, the system of equations are:

$70x + 21y = 168$

$9x +7y = 27$

$7x + y = 14$

$Cost = 21x + 7y$

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

$70x + 21y = 168$

$9x +7y = 27$

$7x + y = 14$

From the attached graph, we have:

$(x_1,y_1) = (1.636,2.545)$

$(x_2,y_2) = (1.775,1.575)$

$(x_3,y_3) = (2.023,1.256)$

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

$Cost = 21x + 7y$

$(x_1,y_1) = (1.636,2.545)$

$Cost = 21 * 1.636 + 7 * 2.545$

$Cost = 52.171$

$(x_2,y_2) = (1.775,1.575)$

$Cost = 21 * 1.775 + 7 * 1.575$

$Cost = 48.3$

$(x_3,y_3) = (2.023,1.256)$

$Cost = 21 * 2.023 + 7 * 1.256$

$Cost = 51.275$

The values of x and y that gives the minimum cost is:

$(x_2,y_2) = (1.775,1.575)$

and the minimum cost is:

$Cost = 48.3$

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0

2 years ago

Use long division to determine the decimal equivalent of fraction with numerator 2 and denominator 3. 0 point 6 bar 0 point 7 ba

VikaD [51]

Answer:

The correct answer is A

$0.\bar6$

Step-by-step explanation:

We want to determine the decimal equivalence of $\frac{2}{3}$ .

We perform the long division as shown in the attachment.

Note that in carry out the long division, the denominator which is 3, will be outside the long division sign, while the numerator which is $2$ , will be inside the long division sign.

We see that the quotient of our long division is $0.6666...$ .

We can rewrite this as $0.\bar6$

Therefore $\frac{2}{3}=0.\bar6$ .

4 0

2 years ago

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