All categories

3 years ago

Express 192 as a prime factors in order

1 answer:

7 0

You can write this two ways - as a list of prime factors, or combine like factors and represent their quantity with an exponent.
If you begin by dividing by two, you can do that six times, with a three as the remaining prime factor.
2·2·2·2·2·2·3
OR
2∧6 · 3

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-3 x - 5 = 36. What is X?

Black_prince [1.1K]

Answer:

x = -13,67

Step-by-step explanation:

-3x - 5 = 36

-3x = 36 + 5

-3x = 41

x = 41/-3

x = -13 2/3

x = -13,67

make as the brainliest

7 0

3 years ago

Can someone help with this I don’t understand

Karo-lina-s [1.5K]

Answer: see below

Step-by-step explanation:

3x-12=7x+8 ⇔ given

-12=4x+8 ⇔ addition property of equality

-20=4x ⇔ subtraction property of equality

x=-5 ⇔ division property of equality

-----------------------

5(x-1)=4x+13 ⇔ given

5x-5=4x+13 ⇔ distributive property

x-5=13 ⇔ subtraction property of equality

x=18 ⇔ addition property of equality

3 0

3 years ago

Hunter invested $750 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded continuously. London invested $7

kompoz [17]

Answer: $ 55

Step-by-step explanation:

When interest is compounded continuously, the final amount will be

$A=Pe^{rt}$

When interest is compounded daily, the final amount will be

$A=P(1+\dfrac{r}{365})^{365t}$

, where P= Principal , r = rate of interest , t = time

For Hunter , P= $750, r = $6\dfrac{5}{8}\%=\dfrac{53}{8}\%=\dfrac{53}{800}=0.06625$

t = 18 years

$A=750e^{0.06625(18)}=\$2471.48$

For London , P= $750, r = $6\dfrac{1}{2}\%=\dfrac{13}{2}\%=\neq \dfrac{13}{200}=0.065$

t = 18 years

$A=750(1+\dfrac{0.065}{365})^{18(365)}=\$2416.24$

Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55

Hence, Hunter would have $ 55 more than London in his account .

7 0

3 years ago

Evaluate f[g(x)] when f(x)=7x-5 and g(x)=x+2

Alex

Answer:

7x+9

Step-by-step explanation:

f(x)=7x-5

g(x)=x+2

f[g(x)]= Substitute g(x) in for x in the function f(x)

=7(g(x))-5

= 7( x+2) - 5

Distribute

= 7x+14 - 5

Combine like terms

=7x +9

5 0

3 years ago

Calculate 6+9i/-1+4i

lisabon 2012 [21]

Multiply the numerator and denominator by the conjugate of the denominator:

$\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}$

Simplify:

$\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}$

8 0

2 years ago