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
KATRIN_1 [288]
2 years ago
5

in the afternoon the temperature was 52 f. A strong arctic cold front caused the temperature to drop to 38 degrees in 4 3/4 hour

s. If the temperature continues to drop at the same rate, What will the temperature be after 2 hours?
Mathematics
1 answer:
Reika [66]2 years ago
3 0

Answer: 32 2/19°F

Step-by-step explanation:

Since the temperature was 52° and dropped to 38°, the difference will be:

= 52° - 38°

= 14°

Therefore, 14° was dropped in 4¾ hours. Therefore, the temperature dropped pee hour will be:

= 14/4¾

= 14 / 19/4

= 14 × 4/19

= 56/19

= 2 18/19° per hour.

In 2 hours, the temperature dropped will be:

= 2 18/19° × 2

= 5 17/19°

With the above explanation, the temperature after 2 hours will then be:

= 38° - 5 17/19°

= 32 2/19°F

The temperature will be 32 2/19°F.

You might be interested in
WILL MARK BRAINLIST!!!!!<br><br> 4 |a| +8−a if a=−2
andre [41]

Answer:

18

Step-by-step explanation:

6 0
3 years ago
180537.5 what is it simplified??
olga_2 [115]
180537.5 simplified is 180538
6 0
3 years ago
Log(x-2)+log2=2logy<br>log(x-3y+3)=0​
In-s [12.5K]

Answer:

<h2>x = 4 and y = 2 or x = 10 and y = 4</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right

===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}

\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac

y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D

\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D

4 0
2 years ago
Which statement about the graph of the function f(x)=2x^2-x-6 are true?
Snezhnost [94]
C the vertex of the function
7 0
3 years ago
Read 2 more answers
What are the x-intercepts of the graph of the function defined by (x - 2)(2x + 1)?
Sonja [21]
X intercepts are 2 and -1/2
7 0
2 years ago
Other questions:
  • A parabola has zeros at (5,0) and (-3,0) and passes through point (6,18) determine the axis of symmetry
    8·1 answer
  • If f(x)=-3x+3, then f-1(x)=​
    13·2 answers
  • Applying a scale factor of two means to do what to each XNY value in the coordinate
    15·2 answers
  • -5n-20=-20-10(n-2) (please help)
    7·1 answer
  • GIVING 100 POINTS FOR THESE 3 PROBLEMS
    5·2 answers
  • A cat chased after a dog for l mile, and then stop to rest. As soon as the cat sotped,the dog chased after the cat for 1500 yard
    9·1 answer
  • A box is placed on the floor.
    12·1 answer
  • Ava and her children went into a restaurant and will buy hotdogs and tacos. She must buy no less than 8 hotdogs and tacos altoge
    11·1 answer
  • Sophia is going to invest $7,900 and leave it in an account for 6 years.
    11·1 answer
  • On most state highways, the fine for speeding depends on the speed of the car. In a certain state, suppose the fine as a functio
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!