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Kobotan [32]
3 years ago
8

What is the value of b in the equation below? 9^-8 x 9^-2 = a^b -10 -6 9 16

Mathematics
2 answers:
Ronch [10]3 years ago
5 0
Your answer is the first option, -10

Laws of Indices states that a^b x a^c = a^(b + c), therefore 9^-8 x 9^-2 = 9^(-8 - 2) = 9^-10
lys-0071 [83]3 years ago
3 0

Answer:

-10

Step-by-step explanation:

9^-8 x 9^-2 = a^b

We know that x^y * x^z = x^(y+z)

9^-8 x 9^-2 = 9^(-8+-2) = 9^(-10)

a= 9  

b = -10

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Can someone pls help me with this.
Elodia [21]

Answer:

[A] It will take 24 minutes for Joe and Charmaine to meet again at the starting line.

[B] Joe will complete 2 laps

[C]  Charmaine will complete 3 laps.

Step-by-step explanation:

Factor two numbers 12 and 8:

12 = 2×2×3

8 = 2×2×2

Find LCM of 12 and 8:

Lcm of 12 and 8 - 2×2×3×2 = 24

Therefore,

[A] How much time does it take for them to meet again at the starting line?

It will take 24 minutes for Joe and Charmaine to meet again at the starting line.

[B] How many laps does Joe complete

Joe will complete 2 laps

[C] How many laps does Charmaine complete?

Charmaine will complete 3 laps.

<u>~lenvy~</u>

6 0
2 years ago
A cone has a diameter of 24cm and a volume of 2713cm3. What is best approximation of height of cone?
Leokris [45]
V=(1/3)hpir^2
aprox

d=2r
d/2=r
d=24
r=24/2=12

V=2713

2713=(1/3)hpi(12^2)
2713=(1/3)hpi(144)
2713=48pih
divide both sides by 48
56.5208=hpi
aprox pi=3.14
divide both sides by 3.14
56.5208/3.14=h=18.0003
height=18cm
7 0
3 years ago
1
lbvjy [14]
The answer of the question is min-jun ran 112 because 14 x 8 4 times 8 equals 32 carry ya 3 1 time 8 equals 8 plus 3 equals 11 so the answer is 112
6 0
2 years ago
HURRY PLEASE!! find the lcm of 3x^2-6x-24 and 9x^2-36
Mrac [35]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
When a dummy variable is included in a regression model that has one numerical independent variable, what assumption do you need
sukhopar [10]

Answer:

Step-by-step explanation:

You need to assume that the slope between the dependent Varian and the numerical independent variable is zero.

In regression analysis, to find the effect of one independent variable on the dependent variable, there has to be no interference from the other independent variables whether they be categorical (dummy) or numerical independent variables.

A dummy variable is one which takes on the value of 0 or 1, to represent the absence or presence (respectively) of a given category which is expected to influence the dependent variable.

When a dummy independent variable is included in a regression model, to know the effect of that dummy or category (e.g. day =1, night =0) on the dependent variable, the influence of the numerical independent variable has to be removed temporarily.

In a regression equation,

Y=a+bX+cK

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a is the intercept on the vertical axis on the graph

b is the slope between the dependent variable Y and the independent numerical variable X

c is the slope between the dependent variable Y and the dummy variable K

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