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Mashutka [201]
3 years ago
7

7. Write each as a single logarithm using the properties of logarithms. a) 3log x – 2log y b) x b b log 2 1 log 15 2 1  8. Expa

nd each logarithm using the properties of logarithms. a) 7 3 logb b) log 7x3 y
Mathematics
1 answer:
VMariaS [17]3 years ago
4 0
7.a) log (x^3/y^2)
b) I'm confused on your notation. Can you write is again in the comments
please? Maybe use words like "base b"

8.a) Confused on your notation.
b) 3log base 7 x + log base 7 y
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A bullet is fired straight up from a gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the form
Dafna1 [17]

Answer:

70 seconds

Step-by-step explanation:

Given that;

The initial velocity v_o of the bullet fired = 1120 ft/s

Initial height h = 8 feet

The expression to determine how many seconds it takes the bullet to hit the ground is:

h = -16t^2 +v_ot + 8

Thus;

Replacing the value of v_o =  1120 and h = 0 (i.e. when h =0) in the above expression; we have:

0= -16t^2 +(1120)t + 8

=  -16t^2 +(1120)t + (8-0)

= -16t² + 1120t + 8

mulitiply through by (-)

= 16t² -1120t - 8

Divide through by 8

= 2t² -  140t - 1

The above expression forms a quadratic equation.

where;

a = 2

b = -140

c = - 1

So, by using the quadratic formula \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}, we have:

= \dfrac{-(-140) \pm \sqrt{(-140)^2-4(2)(-1)}}{2(2)}

= \dfrac{140 \pm \sqrt{19600-(-8)}}{4}

= \dfrac{140 \pm \sqrt{19608}}{4}

= \dfrac{140 \pm 140}{4}

=\dfrac{140+ 140}{4} \ \ \ OR \ \ \  \dfrac{140-140}{4}

=\dfrac{280}{4} \ \ \ OR \ \ \  0

= 70

Thus, the time (in seconds) it took the bullet to it the ground = 70 seconds

6 0
3 years ago
14% of 980?
Natasha2012 [34]
137.2
30
$298.30
390
5970
3050
16
150
5500000
8 0
3 years ago
Look at the coordinate plane below.
dybincka [34]

Answer:

K (-3,-7)    A (-4,1)   O (-5,5)  T (-7,2)    

Step-by-step explanation:

All of these have the x as the lesser value

8 0
3 years ago
Read 2 more answers
The temperature in Ottawa starts at -4°C, rises 14°C, and then falls 8°C. What is the final temperature?
Molodets [167]

Answer:

2C

Step-by-step explanation:

-4C+14C=10C

10C-8C=2C

3 0
3 years ago
Read 2 more answers
Publix sells apples and oranges for $0.79 per pound. Marc puts 1.2 pounds of oranges in his cart then adds some apples. The tota
finlep [7]

Answer:

D

Step-by-step explanation:

you have to multiply .79 to both a and 1.2. A is wrong because it's saying we need to multiply .79 to 1.2lb. which is the weight of oranges and the total cost of apples and oranges which is 6.27.

4 0
3 years ago
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