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SIZIF [17.4K]
3 years ago
8

Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room

's temperature decreased by 0.5 ∘ Celsius each minute, and Quinn woke up 60 minutes later when it was 10 ∘ Celsius.
Mathematics
2 answers:
wel3 years ago
7 0
Cooling was bringing the temperature down 1 degree c every 2 minutes. 60min /2 =30°c . 10°c +30°c =40°c
The temperature was 40°c when he first returned home.
eimsori [14]3 years ago
7 0

Answer: Temperature after 60 minutes is -20° C.

Step-by-step explanation:

Since we have given that

Temperature at initial = 10° C

Decrement rate = 0.5°C per minute

Number of minutes taken = 60 minutes

According to question,

Temperature after 60 minutes would be

10+60\times -0.5\\\\=10^\circ C-30^\circ C\\\\=-20^\circ C

Hence, Temperature after 60 minutes is -20° C.

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How do you solve a quadratic formula
VladimirAG [237]
There's a lot of ways! So, you can plug in and solve, solve for the two roots, solve for the vertex form, and solve for the standard form. Multiple ways!
3 0
3 years ago
Simplify using the distributive property.
Alekssandra [29.7K]

Answer:

8y+96

Step-by-step explanation:

8(y+12)

First, do 8*y which is 8y

Now, 12*8=96

So, the answer is 8y+96

6 0
4 years ago
Read 2 more answers
Which method correctly solves the equation using the multiplication property of equality and the reciprocal of one-third? one-th
Marianna [84]

The solution to the equation one-third (x + 9) = negative 12 is  x = -45

<h3>How to solve the equation?</h3>

The equation is given as:

one-third (x + 9) = negative 12

Rewrite properly as:

1/3 (x + 9) = -12

Multiply both sides by 3

x + 9 = -36

Subtract 9 from both sides

x = -45

Hence, the solution to the equation one-third (x + 9) = negative 12 is  x = -45

Read more about linear equations at:

brainly.com/question/14323743

#SPJ4

8 0
2 years ago
Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.
faust18 [17]

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill

\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1

8 0
3 years ago
What is objective ??
Gre4nikov [31]

Answer:

In math :The objective function is a mathematical term that describes how different variables contribute to a certain value that is being sought to be optimized.

In science: Scientific objectivity is a characteristic of scientific claims, methods and results. It expresses the idea that the claims, methods and results of science are not, or should not be influenced by particular perspectives, value commitments, community bias or personal interests, to name a few relevant factors.

In ela: Being the object or goal of one's efforts or actions. not influenced by personal feelings, interpretations, or prejudice; based on facts; unbiased: an objective opinion. ... being the object of perception or thought; belonging to the object of thought rather than to the thinking subject (opposed to subjective).

Step-by-step explanation:

6 0
3 years ago
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