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lina2011 [118]
3 years ago
7

On a certain day, the temperature changed at a rate of -3 per how. How long did it take for the change in temperature to be -33?

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

  • Considering the temperature is 0°C and
  • It is changing at a rate of -3 per hour.

So, it took 11 hours for the change in temperature to be -33.

Step-by-step explanation:

Rate of change basically means the amount of change to how long it takes for the change to occur.

Rate of change = Change in Value/ Change in time

On a certain day the temperature changed at a rate of -3 per hour.

Let suppose the Temperature at 8:00 = 0°C

As the temperature changed at a rate of -3 per hour.

It means the Temperature at 9:00 = -3°C.

so

Rate of change = (-3 - 0)/(9:00 - 8:00) = -3°C per hour

So, the temperature to be -33°C, it would take 11 hour as -3 × 11 = -33.

Therefore, it took 11 hours for the change in temperature to be -33.

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Any two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional: In the figure above the ratio or the scale factor of the quadrilateral to the left versus the quadrilateral to the right is ½. ( or the easy way same shape, same side)
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3 years ago
What is the area of parallelogram ABCD?<br><br><br> ____ square units
valentinak56 [21]

Answer:

13

Step-by-step explanation:

Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.

Make a table like this (each vertex with its x- and y-coordinates):

Pt    x       y

A     3      6

B     6      5

C     5      1

D     2      2

A     3      6

Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.

       x       y

A     3      6

B     6      5      15

C     5      1        6

D     2      2      10

A     3      6      12

Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.

       x       y

A     3     6

B     6      5      15 - 36 = -21

C     5      1        6 - 25 = -19

D     2      2      10 - 2 =     8

A     3      6      12 - 6 =     6

Add all the differences.

       x       y

A     3      6

B     6      5      15 - 36 = -21

C     5      1        6 - 25 = -19

D     2      2      10 - 2 =     8

A     3      6      12 - 6 =     6

                                   +____

                                       -26

The area of the polygon is the absolute value of half of the sum of the differences.

area = |-26/2| = |-13| = 13

6 0
3 years ago
Which of these describes the unit rate?
AlexFokin [52]

Answer:

Which of these describes the unit rate? answer choices. a unit of measure. a fraction with a numerator of one. a fraction with a denominator of one. a proportion.

Step-by-step explanation:

Hope this helps you!

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5 0
3 years ago
A sample of 100 people is classified by gender (male/female) and by whether they are registered voters. The sample consists of 8
uysha [10]

Answer:

12

Step-by-step explanation:

Given :

                                    Male         Female        Total

Registered                                                          60

Non registered                                                   40

Total                          20                  80    

Solution :

N= 100

Formula of expected frequency = E_{ij}=\frac{T_i \times T_j}{N}

E_{ij}= expected frequency for the ith row/jth columm.

T_i = total in the ith row

T_j= total in the jth column

N = table grand total.

So, using formula  E_{11}=\frac{T_1 \times T_1}{100}

E_{11}=\frac{60 \times 20}{100}

E_{11}=12

E_{12}=\frac{T_1 \times T_2}{100}

E_{12}=\frac{60 \times 80}{100}

E_{12}=48

E_{21}=\frac{T_2 \times T_1}{100}

E_{21}=\frac{40 \times 20}{100}

E_{21}=8

E_{22}=\frac{T_2 \times T_2}{100}

E_{22]=\frac{80 \times 40}{100}

E_{22}=32

Expected frequency table

                                    Male         Female        Total

Registered                  12                  48            60

Non registered           8                   32             40

Total                           20                  80    

So, the expected frequency for males who are registered voters are  E_{11}=12

5 0
3 years ago
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