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Anastaziya [24]
3 years ago
9

Evaluate the given numerical expression (5+7 to the 3rd power divided by 7 times 7

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

{(5 + 7)}^{3}  \div 7 \times 7 \\  {12}^{3}  \div 7 \times 7 \\ 1728 \div 7 \times 7 \\ 1728

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Use the following steps to prove that log b(xy)- log bx+ log by.
borishaifa [10]

Answer with Step-by-step explanation:

a.x=b^p

y=b^q

Taking both sides log

log x=plog b

Using identity:logx^y=ylogx

p=\frac{logx}{log b}=log_b x

Using identity:log_x y=\frac{log y}{log x}

log y=qlog b

q=\frac{log y}{log b}=log_b y

b.xy=b^pb^q

We know that

x^a\cdot x^b=x^{a+b}

Using identity

xy=b^{p+q}

c.log_b(xy)=log_b(b^{p+q})

log_b(xy)=(p+q)log_b b

Substitute the values then we get

log_b(xy)=(log_b x+log_b y)

By using log_b b=1

Hence, log_b(xy)=log_b x+log_b y

3 0
3 years ago
Problem Page Alonzo will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.98
igomit [66]
You would start with the equation:Let m=number of miles

49.98+0.12m=35.98+0.17m

Then solve for m

You would then get

49.98+0.12m=35.98+0.17m
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 49.98=35.98+0.05m
-35.98  -35.98
14  = 0.05m
----    --------
0.05   0.05

280=m
5 0
3 years ago
: Santiago realizó los siguientes movimientos en su Cuenta bancaria: el lunes consignó $300.000, el martes retiró $120.000, el m
butalik [34]

Answer:

Step-by-step explanation:

Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:

  • Lunes → + 300.000
  • Martes → -120.000
  • Miércoles → -95.000
  • Jueves → +80.000

Al realizar la sumatoria se obtiene:

 +300.000 - 120.000 - 95.000 + 80.000 = + 165.000

En la semana Santiago obtiene en su cuenta bancaria $165.000

8 0
3 years ago
Y=3/2x-3
Inga [223]

Answer:

the answer is (2,-6)

Step-by-step explanation:


5 0
3 years ago
How do you solve this?
Savatey [412]

Step-by-step explanation:

to "solve" this I need an equation.

this whole expression must be equal to something.

without that I can only try to simplify the expression.

remember that

a/b / c/d = ad / bc

so, here we have

3a/(((a²/x) - 1)(a/x - 1)) = 3a/(a³/x² - a²/x - a/x + 1) =

= 3a/(a³/x² - a²/x - a/x - a/a) =

= 3a/((a²/x² - a/x - 1/x - 1/a)×a) = 3/(a²/x² - a/x - 1/x - 1/a)

7 0
2 years ago
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