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Nutka1998 [239]
2 years ago
10

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

Mathematics
2 answers:
muminat2 years ago
6 0

Answer:

Step-by-step explanation:

a^{m}*a^{n}=a^{m+n}\\\\9^{10}*9^{x}=9^{10+x}

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

liraira [26]2 years ago
6 0

\small \sf \leadsto 9 {}^{10 +x}

Step-by-step explanation:

Using exponent's product rule

\small \sf \: x {}^{n}  \times x {}^{m}  = x {}^{n + m}

\small \sf  \leadsto \: 9 {}^{10}  \times 9 {}^{x}

\small \sf \leadsto 9 {}^{10 + x}

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(5,12) with a slope m=10 the equation of the line is
motikmotik

Answer:

y= 10x-38

Step-by-step explanation:

Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

Given that m=10,

y= 10x +c

Now substitute the coordinates into the equation.

When y=12, x=5,

12= 10(5) +c

12= 50 +c

c= 12 -50

c= -38

Thus the equation of the line is y= 10x -38

8 0
3 years ago
What's the quotient of I? <br> 5+5i divided by 2+I
sladkih [1.3K]
if\ "i"\ is\ the\ imaginary\ unit:\sqrt{-1}=i\Rightarrow i^2=-1\\\\then\\\\\frac{5+5i}{2+i}=\frac{5+5i}{2+i}\cdot\frac{2-i}{2-i}=\frac{10-5i+10i+5i^2}{2^2-i^2}=\frac{10+5i-5}{4+1}=\frac{5+5i}{5}=\boxed{1+i}
7 0
3 years ago
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
juin [17]

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}

\frac{x}{9}=\frac{16}{x}

x² = 16 × 9

x² = 144

x = √144

x = 12

Therefore, length of altitude RT is 12 units.

5 0
3 years ago
Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If clare doesn't
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We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form y=a(1+r)^x, where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

3\%=\frac{3}{100}=0.03

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

y=160(1+0.03)^x

y=160(1.03)^x

To find amount of money in Clare's account after 30 years, we need to substitute x=30 in our equation.

y=160(1.03)^{30}

Therefore, the expression 160(1.03)^{30} represents the amount of money that Clare would have after 30 years.

8 0
3 years ago
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20/5 and -20/-5 are equivalent
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