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Natali [406]
3 years ago
5

The number of water bottles used during a teams football practice varies directly with the temperature. If a team uses 75 water

bottles when the temperature is 60 degrees, what is the temperature if they use 120 bottles?

Mathematics
1 answer:
AysviL [449]3 years ago
6 0
To find the cost of 1 water bottle you divide 60 degrees into 75 (75/60) which gives you 1.25 degrees for each water bottle. To find 120 water bottles temperature multiply the 1.25 degrees for 1 water bottle times 120 (120x1.25). 120x1.25=150 The answer would be 150degrees
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How do you solve this? cosθ-tanθcosθ=0
laila [671]
First, lets note that tan(\theta)\cdot cos(\theta)=sin(\theta). This leads us with the following problem:

cos(\theta)-sin(\theta)=0

Lets add sin on both sides, and we get:

cos(\theta)=sin(\theta)

Now if we divide with sin on both sides we get:

\frac{cos(\theta)}{sin(\theta)}=1

Now we can remember how cot is defined, it is (cos/sin). So we have:

cot(\theta)=1

Now take the inverse of cot and we get:
\theta=cot^{-1}(1)=\pi\cdot n+ \frac{\pi}{4} , \quad n\in \mathbb{Z}

In general we have cot^{-1}(1)=\frac{\pi}{4}, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:

4 0
3 years ago
M + m + m + m = 4 + m
kkurt [141]

Answer:

4m=4+m

4m-m=4

3m=4

m=3/4

hope this helps:)))

6 0
2 years ago
If your starting salary is $40,000 and you  receive a 4.2% raise every year, how much  TOTAL money will you make in 15 years?
Oliga [24]
The first year, the amount is 40,000

the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that  we get 40000(1 + 0.042), or just 40000(1.042)

in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

for the third year it'll be 40000(1.042) + (0.042 *40000(1.042) ), again, common factoring that

40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²

therefore,

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=40000\\
r=1.042\\
n=15
\end{cases}
\\\\\\
S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)
\\\\\\
S_{15}\approx 812951.42
5 0
3 years ago
What Is The Answer To <br> - 3/4 + 4/7 =?
Mrrafil [7]

Answer:

Oof

Step-by-step explanation:

First, change the denominators cuz, math. Then just do the math. Why you asking me?

4 0
4 years ago
You are going on a trip. to get to the beach, you have to drive 475 miles. if you can average 50 miles per hour on your drive, w
irinina [24]

Answer:

C, -50*hours+475

Step-by-step explanation:

We are trying to get the total distance left, so we are subtracting the distance traveled from the total. If we travel at 50 miles per hour then the distance traveled is equal to 50*hours and if you subtract that from the total you ahve the distance left.

3 0
3 years ago
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