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k0ka [10]
3 years ago
13

I need help. Someone please help. The second and third picture are to the same problem. Just please help me I'm dumb.

Mathematics
1 answer:
kirill115 [55]3 years ago
5 0

By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.

Step-by-step explanation:

Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.

To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 =     317.15 K.

To convert °F, we have the formula (112°F − 32) × (\frac{5}{9}) + 273.15, so

110 °F = (110 - 32) × (\frac{5}{9}) + 273.15 = 316.483 K,

112 °F = (112 - 32) × (\frac{5}{9}) + 273.15 = 317.594 K.

Step 2; By rewriting all the values on the same unit, we get;

Sample A = 317.15 K,

Sample B = 320 K,

Sample C = 316.483 K,

Sample D = 310 K,

Sample E = 317.594.

The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.

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Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

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3 years ago
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Step 1

Let n represent car and m represent motorcycles.

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car has four wheels and motorcycle has two wheels

4n + 2m = 164 .............................. 2

Step 2

Solve equation 1 and 2 simultaneously.

from (1), make n subject of relation and substitute in equation 2.

n = 50 - m

Step 3

Substitute n in equation 2

4(50 - m) + 2m = 164

200 - 4m + 2m = 164

collect like terms

200 - 164 = 4m - 2m

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m = 36/2

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next find n

n = 50 - m

n = 50 - 18

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There are 32 cars and 18 motorcycles.

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