MATHEMATICS HIGH SCHOOL

Which of the following is equivalent to the expression below? 9^10*9^x

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

$a^(m)*a^(n)=a^(m+n)\n\n9^(10)*9^(x)=9^(10+x)$

In exponent multiplication, if the bases are same then add the exponents.

Answer 2

Answer:

$\small \sf \leadsto 9 {}^(10 +x)$

Step-by-step explanation:

Using exponent's product rule

$\small \sf \: x {}^(n) * x {}^(m) = x {}^(n + m)$

$\small \sf \leadsto \: 9 {}^(10) * 9 {}^(x)$

$\small \sf \leadsto 9 {}^(10 + x)$

Related Questions

How many roots does the function have?f(x)= x^6 + 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x +7A. 21B. 2C. 6D. 7
Can someone please actually help me with my math assignments
706,286 rounded to the nearest ten thousand
18 4/7 into an improper fraction
Find the value for x and y

What is the value of y?

Answers

Answer:

try 70

Step-by-step explanation:

I’m pretty sure it’s 70

Solve the simultaneous equation, 5x=2y+1 2x-3y+4+0

Answers

Hello,

I suppose the 2th equation is 2x-3y+4=0

5x-2y=1 ........|*2 | *3
2x-3y=-4....... |*(-5) | *-2
==> -4y+15y=2+20==>11y=22==>y=2
and 15x-4x=3+8 ==>11x=11 ==>x=1
Proof:

5*1=? 2*2+1 yes
2*1-3*2+4=? 0 yes (linear combinaison method)

Jeremy drove from Portland to Miami. He determines that the expression 450x + 150 represents the distance in miles he traveled, where x is the number of days after the first day. Which statement describes correctly what the coefficient of x represents?

Answers

Answer:

The coefficient of x represents the number of miles driven each day.

Step-by-step explanation:

The coefficient of x is being multiplied by x, or the number of days. If the expression models the total distance travelled, then Jeremy drove 450 miles each day.

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.

Answers

Answer: 8 years

Step-by-step explanation:

8 years

A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.19. They have also determined that the probability that someone has lung cancer, given that they are a smoker is P(LC|S)=0.158. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S∩LC) ?0.35

0.03

0.02

0.83

Answers

Answer:

P (S∩LC) = 0.03

Step-by-step explanation:

We are given that the probability that someone is a smoker is P(S)=0.19 and the probability that someone has lung cancer, given that they are a smoker is P(LC|S)=0.158.

Given the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.158 = P(S∩LC) / 0.19

P (S∩LC) = 0.158 × 0.19 = 0.03

What is
3x10 squared 5 + 2x10 squared 5 + 4x10 squared 5