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Flauer [41]
3 years ago
8

The temperature of a cooling liquid over time can be modeled by the exponential function T(x) = 60(1/2)^(x/30) + 20, where T(x)

is the temperature in degrees Celsius, and x is the elapsed time in minutes. Graph the function and determine how long it takes for the temperature to reach 28°C. What was the initial temperature?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0
Based on the scenario, the initial temperature would be :

28 = (60) (1/2)^x/30 + 20
 
(60) (1/2)^0/30 + 20 = 60 + 20 = 

80 C

Hope this helps
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The length between the bases on a Major League Baseball diamond is 90 feet. Allyson wants to make a scale drawing of a baseball
Vinil7 [7]

Answer:

\text{The scale is }\frac{1}{432}

Step-by-step explanation:

Length between the bases on a major league diamond = 90 feet

1 feet = 12 inches

90 feet = 90 × 12

             = 1080 inches

Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches

\text{Scale factor = }\frac{\text{Actual length}}{\text{Scale length}}\\\\\text{Scale factor = }\frac{1080}{2.5}=432

\text{Hence, the scale is }\frac{1}{432}

4 0
3 years ago
Rochelle earned $500 during the summer. She put 35% of this amount into savings. Which of the following fraction is equivalent t
vivado [14]

Answer:

65/100 or 13/20

Step-by-step explanation:

65% = 65/100 and simplify to 13/20

6 0
3 years ago
If natalie and her friends decide to rent 4 lanes at reguler cost for a party ten people need to rent shoes and 4 people are mem
taurus [48]

The question is missing a tabular data. So, it is attached below.

Answer:

The total cost for the party is $74.50.

Step-by-step explanation:

Given:

Lanes rented at regular cost = 4

Cost of 1 lane rented  at regular cost = $9.75

Cost of 1 lane rented for members = $7.50

Cost of 1 shoe rental at regular cost(non members) = $3.95

Cost of 1 shoe rental for members = $2.95

Since, lanes are rented at regular cost, we use unit rate at regular cost

So, cost of 4 lanes rented = 4\times 9.75= \$ 39

Now, out of 10 people who rented shoes, 4 are members. So, the number of non-members is given as:

Non members who rented shoes = 10 - 4 = 6

So, 4 members and 6 nonmembers rented shoes.

So, cost of 6 non members renting shoes = 6\times 3.95=\$ 23.70

Cost of 4 members renting shoes = 4\times 2.95=\$ 11.80

Total cost for the party is the sum of all the costs. This gives,

= 39 + 11.80 + 23.70

= 50.80 + 23.70

= $74.50

Therefore, the total cost for the party is $74.50.

5 0
3 years ago
A:<br> What is 7*<img src="https://tex.z-dn.net/?f=10%5E%7B15%7D" id="TexFormula1" title="10^{15}" alt="10^{15}" align="absmiddl
pickupchik [31]

Step-by-step explanation:

7*10^10=70,000,000

(70milion)

7*10^15=7000,000,000,000,000

3 0
3 years ago
Im new to this app can someone help me please and thank u so much
GaryK [48]

Answer:

3\frac{1}{4}

Step-by-step explanation:

we have to  divide the given distance by 3.

Then we will be able to find the distance between markers.

Given distance is

9\frac{3}{4} \\=\frac{36+3}{4}\\ =\frac{39}{4}

Since, there are three markers,

So, we have to divide this distance by  3

So, the distance between markers is-

\frac{\frac{39}{4}} {3} \\=\frac{39}{4} * \frac{1}{3} \\=\frac{13}{4}


So, the distance between marker is

\frac{13}{4}

Now, we have to convert this into mixed number.

Then, the distance is-

\frac{13}{4}\\ =3\frac{1}{4}

4 0
3 years ago
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