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nika2105 [10]
3 years ago
11

Use the equation below to find v, if u= 12, a=9, and t=4. v=u+at

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

Answer:

v=48

Step-by-step explanation:

v=?\\\\u=12\\\\a=9\\\\t=4\\\\v=u+at\\\\v=(12)+(9)(4)\\\\v=12+36\\\\v=48

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The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
3 years ago
Solve the equation. And write all solutions in general form.
Amiraneli [1.4K]

Answer:

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Step-by-step explanation:

8 cos^2 x + 4 cos x-4 = 0

Divide by 4

2 cos^2 x +  cos x-1 = 0

Let u = cos x

2 u^2 +u -1 =0

Factor

(2u -1) ( u+1) = 0

Using the zero product property

2u-1 =0    u+1 =0

u = 1/2      u = -1

Substitute cosx for u

cos x = 1/2    cos x = -1

Take the inverse cos on each side

cos ^-1(cos x) = cos ^-1(1/2)   cos ^-1( cos x) =cos ^-1( -1)

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

8 0
3 years ago
An experiment observing the growth of two germ strand populations finds these patterns.
Mice21 [21]

Answer:

R(x) = (1.3)^{3x-8}

Step-by-step explanation:

Given

A(x) = (1.3)^{x + 9}

B(x) = (1.3)^{4x + 1}

Required

Ratio B(x) to A(x)

This is calculated as:

R(x) = B(x) : A(x)

Express as fraction

R(x) = \frac{B(x) }{A(x)}

Substitute: A(x) = (1.3)^{x + 9} and  B(x) = (1.3)^{4x + 1}

R(x) = \frac{(1.3)^{4x+1}}{(1.3)^{x+9}}

Apply law of indices

R(x) = (1.3)^{4x-x+1-9}

R(x) = (1.3)^{3x-8}

6 0
3 years ago
What is the rate of change from the equation?<br><br> y = 0.20n + 1.50
Ksju [112]

Answer:

n=5y-7.5

Step-by-step explanation:

3 0
2 years ago
The temperature is 5 degrees about 0 degrees. If it drops 8 degrees, what is the temperature after it drops?
ycow [4]

Answer:

-3

Step-by-step explanation:

6 0
3 years ago
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