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-BARSIC- [3]
2 years ago
6

If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?

Mathematics
1 answer:
natita [175]2 years ago
7 0

Answer:

8

Step-by-step explanation:

All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8

7 times 0 is 0, so you are left with 8 as your answer

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Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to
rusak2 [61]

Answer:

<em>2.983 </em>ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = \frac{60}{20} = 3

Formula for linear speed is given as:

v=\dfrac{2\pi}{60}\cdot r\cdot RPM

Where r is the radius of circular path and

RPM is the number of revolutions per minute.

v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}

Therefore, the linear speed is <em>2.983 ft/sec.</em>

5 0
3 years ago
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
aleksandrvk [35]

50km to 80km is 30km

10c to -80c is -90c

and since it linear (Which means the change is constant or the same)

every 10 km show a -30c decrease

so

60 km is -20c

70km is -50c


answer is c

5 0
3 years ago
A cup of coffee at 93 degrees Celsius is placed in a room at 23 degrees Celsius. Suppose that the coffee cools at a rate of 1 de
Alinara [238K]

Answer:

Step-by-step explanation:

The rate of change of temperature of the coffee with respect to time is expressed by the differential equation

dT/dt=k(T−A) when k = -1 and A = 23. The equation will become:

dT/dt = -(T-23)

If the coffee cools at the rate of 1°C per minute, then dT/dt = -1 and T = 70

Substituting into the equation:

-1 = k(70-23)

-1 = 47k

k = -1/47

k = -0.0213

Substituting k = -0.0213 into the original equation, the differential equation will be:

dT/dt=k(T−A)

dT/dt = -0.0213(T-23)

dT/dt = -0.0213T+0.489

To get the value of T, we will use variable separable method

dt = dT/-0.0213T+0.489

Integrate both sides

t = -0.0213ln(-0.0213T+0.489)

At t = 1 minute

1 = -0.0213ln(-0.0213T+0.489)

1/-0.0213 = ln(-0.0213T+0.489)

-46.95 = ln(-0.0213T+0.489)

Apply exp to both sides

e^-46.95 = e^ln(-0.0213T+0.489)

4.073×10^-21= -0.0213T+0.489

-0.0213T = 4.073×10^-21-0.489

-0.0213T = -0.489

T = 0.489/0.0213

T = 22.96°C

5 0
3 years ago
Which of the following values has 4 significant figures?
Vlad1618 [11]

Answer:

А. 13.07

Step-by-step explanation:

Significant figures are the number of digit from a number that have meanings. The higher the significant figures of a number, the higher its accuracy will be.  The only non-zero number will be count as significant figures unless the zero is between two non-zero numbers like 13.07, the zero placed between 3 and 7. Some number also doesn't count as significant figures like the leading zero.

All other option just shows 3 significant numbers, so the answer is 13.07

6 0
3 years ago
Kelly sells shoes at Lord and Taylor, She earns a salary of $250 per week, plus a commission of 4% of her total sales. She sold
NARA [144]
1,000 x 0.04 = 40
250+ 40 = 290
That week she made $290
6 0
2 years ago
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