1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolbaska11 [484]
3 years ago
5

The temperature fell 10.5°F over a period of 5 hours.What was the average change in temperature per hour?

Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer:

2.1 would be the average rate of change per hour.

Step-by-step explanation:

If the temperature fell 10.5 degrees Fahrenheit over a period of 5 hours then 10.5°F divided by 5 hours equals 2.1 degrees per hour.

I hope this helps!

Romashka-Z-Leto [24]3 years ago
5 0

Answer:

Step-by-step explanation:

Round 10.5 to 11

You might be interested in
Find the coordinates of the midpoint of the segment given its endpoints. <br> P(-3,-7) and Q(3,-5)
hoa [83]

Answer:

0 -6

Step-by-step explanation:

go left 3 spots and up 1

6 0
3 years ago
What is the LCF of 60 and 10 ?
jarptica [38.1K]

Do you mean LCM

If you just want to know what is the least common multiple of 10 and 60, it is 60

3 0
3 years ago
Read 2 more answers
Sara went to the store and bought 4 apples, 5 peaches and 10 bananas. What is the ratio of peaches to all fruit?
Diano4ka-milaya [45]

Answer:

i might be wrong but i think its 5:19

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the common difference in the following arithmetic sequence?
zloy xaker [14]
It would probably be D
3 0
2 years ago
Which of the following functions are homomorphisms?
Vikentia [17]
Part A:

Given f:Z \rightarrow Z, defined by f(x)=-x

f(x+y)=-(x+y)=-x-y \\  \\ f(x)+f(y)=-x+(-y)=-x-y

but

f(xy)=-xy \\  \\ f(x)\cdot f(y)=-x\cdot-y=xy

Since, f(xy) ≠ f(x)f(y)

Therefore, the function is not a homomorphism.



Part B:

Given f:Z_2 \rightarrow Z_2, defined by f(x)=-x

Note that in Z_2, -1 = 1 and f(0) = 0 and f(1) = -1 = 1, so we can also use the formular f(x)=x

f(x+y)=x+y \\  \\ f(x)+f(y)=x+y

and

f(xy)=xy \\  \\ f(x)\cdot f(y)=xy

Therefore, the function is a homomorphism.



Part C:

Given g:Q\rightarrow Q, defined by g(x)= \frac{1}{x^2+1}

g(x+y)= \frac{1}{(x+y)^2+1} = \frac{1}{x^2+2xy+y^2+1}  \\  \\ g(x)+g(y)= \frac{1}{x^2+1} + \frac{1}{y^2+1} = \frac{y^2+1+x^2+1}{(x^2+1)(y^2+1)} = \frac{x^2+y^2+2}{x^2y^2+x^2+y^2+1}

Since, f(x+y) ≠ f(x) + f(y), therefore, the function is not a homomorphism.



Part D:

Given h:R\rightarrow M(R), defined by h(a)=  \left(\begin{array}{cc}-a&0\\a&0\end{array}\right)

h(a+b)= \left(\begin{array}{cc}-(a+b)&0\\a+b&0\end{array}\right)= \left(\begin{array}{cc}-a-b&0\\a+b&0\end{array}\right) \\  \\ h(a)+h(b)= \left(\begin{array}{cc}-a&0\\a&0\end{array}\right)+ \left(\begin{array}{cc}-b&0\\b&0\end{array}\right)=\left(\begin{array}{cc}-a-b&0\\a+b&0\end{array}\right)

but

h(ab)= \left(\begin{array}{cc}-ab&0\\ab&0\end{array}\right) \\  \\ h(a)\cdot h(b)= \left(\begin{array}{cc}-a&0\\a&0\end{array}\right)\cdot \left(\begin{array}{cc}-b&0\\b&0\end{array}\right)= \left(\begin{array}{cc}ab&0\\-ab&0\end{array}\right)

Since, h(ab) ≠ h(a)h(b), therefore, the funtion is not a homomorphism.



Part E:

Given f:Z_{12}\rightarrow Z_4, defined by \left([x_{12}]\right)=[x_4], where [u_n] denotes the lass of the integer u in Z_n.

Then, for any [a_{12}],[b_{12}]\in Z_{12}, we have

f\left([a_{12}]+[b_{12}]\right)=f\left([a+b]_{12}\right) \\  \\ =[a+b]_4=[a]_4+[b]_4=f\left([a]_{12}\right)+f\left([b]_{12}\right)

and

f\left([a_{12}][b_{12}]\right)=f\left([ab]_{12}\right) \\ \\ =[ab]_4=[a]_4[b]_4=f\left([a]_{12}\right)f\left([b]_{12}\right)

Therefore, the function is a homomorphism.
7 0
3 years ago
Other questions:
  • Can someone please help me with this queston? I've been stuck on it forever.
    14·1 answer
  • Mr. Menedez ran 13.1 miles at a constant rate for 150 minutes. To find how fast he ran, you solve the equation 13.1 = x • 150. W
    14·2 answers
  • 2. The line y = x is transformed into y = 5x. Determine if each statement
    10·1 answer
  • Which table of values corresponds to the graph below? On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6,
    13·2 answers
  • Triangle ABC with vertices A(2, 4) , B(4, 0) , and C(6, 6) is dilated about the origin to be triangle A′B′C′ .
    12·2 answers
  • Find the next term of the sequence.<br> 24, 17, 10, 3, ...<br><br> -7 <br> 0<br> -4<br> -5
    9·1 answer
  • 2<br> Solve for x L<br> (1 Point)<br> 3x + 25 = 38
    7·1 answer
  • Solve for the value of y​
    8·2 answers
  • Freeeeeeeeeeeeeeeee points : D
    10·2 answers
  • 10. Victoria has a coupon for 30% off of any item in a department store. She decides to purchase a treadmill. The original price
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!