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Llana [10]
3 years ago
7

T(x)=70(.80)*+20 where x is the time in minutes and the T is the temperature in degree celsius . What is the initial temperature

of the coffee?
Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer:

The initial temperature of the coffee was 90°C.

Step-by-step explanation:

The function representing the temperature of the coffee after <em>x</em> minutes is:

T(x)=70\cdot(0.80)^{x}+20

T is the temperature in degree Celsius.

The initial temperature of the coffee will be at <em>x</em> = 0.

Compute the value of T (x) at x = 0 as follows:

T(x)=70\cdot(0.80)^{x}+20

T(0)=70\cdot (0.80)^{0}+20

        =70\times 1+20\\=70+20\\=90

Thus, the initial temperature of the coffee was 90°C.

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It will take five builders 62 days to complete a particular project. At this rate, how long would the project take if there were
Lena [83]

Answer:

2 builder complete work = 155 days

Step-by-step explanation:

Given:

5 builder complete work = 62 days

So,

1 builder complete work = 62 days × 5

if,

2 builder complete work = [62 days × 5] / 2

2 builder complete work = 155 days

6 0
3 years ago
PLEASE HELP QUICKLY
andreev551 [17]

Answer:

He ran one mile in 20 minutes

Step-by-step explanation:

4 0
3 years ago
What is the selling price of a table ticketed at $1,234 with a 22% discount? A. $962.52 B. $271.48 C. $926.25 D. $1,000.00
vovangra [49]
1234 multiplied by 0.22(22%) equals 271.48.
1234-271.48=962.52(A)
6 0
3 years ago
Read 2 more answers
At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high. Which of the thre
timurjin [86]
First, all the heights have to be converted to similar units, say feet.

Therefore,
Building= 20 feet
Tree = 252*0.083333 = 21 feet
Flagpole = 6*3 = 18 feet

The tallest of the three is the tree and thus should cast the longest shadow. However, it should be noted that at exactly noon when the sun is overhead, all the three will have equal length of shadow (that is, 0 feet long).
3 0
4 years ago
a lighthouse is 150 feet tall and cast a shadow of 30 feet.Kyle is standing next to a lighthouse and is 6 feet tall. how long is
Marrrta [24]

The shadow length of Kyle is 1.2 feet,if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.

Step-by-step explanation:

The given is,

                  A lighthouse is 150 feet tall.

                  Cast a shadow of 30 feet.

                  Kyle is 6 feet tall.

Step:1

                 Ref the attachment,

                 From triangle ABC,

                               tan ∅ = \frac{Opp}{Adj}......................(1)

                 Where, Opp = AB = 150 feet

                                Adj = BC = 30 feet

                 Equation (1) becomes,

                              tan ∅ = \frac{150}{30}

                                        = 5

                                     ∅ = tan^{-1} 5

                                     ∅ = 78.69°

                 ∅ is same for both ABC and PQR triangle.

                 From triangle PQR,

                               tan ∅ = \frac{Opp}{Adj}......................(1)

                 Where, Opp = PQ = 6 feet

                                Adj = QR = x

                 Equation (1) becomes,

                      tan 78.96° = \frac{6}{x}

                                     5 = \frac{6}{x}

                                     x = \frac{6}{5} = 1.2

                 Shadow length of Kyle, x = 1.2 feet

Result:

           The shadow length of Kyle is 1.2 feet, if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.

7 0
3 years ago
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