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butalik [34]
4 years ago
12

Can someone solve this problem for me? Show me your steps to solve this problem as well.

Mathematics
1 answer:
AveGali [126]4 years ago
5 0
\bf 3^x=81\qquad 
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^x=3^4\implies x=4

if their base is the same, the exponents must also be the same for the equation to be true.
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Ek=1/2mv^2 solve for v
Mandarinka [93]

Answer: it's a '40.0-kg object, not a 40.4-kg object, which would explain why the answer is different.


Step-by-step explanation:


6 0
3 years ago
Lol I need help on I-ready<br> Thank you!!<br> What's the answer?
snow_lady [41]

Answer:

g=4

Step-by-step explanation:

-6g + 36 = 12

       -36 = -36

       -6g = -24

      ------   -------

       -6        -6

           g=4

3 0
3 years ago
Filbert makes $14 per hour. If he makes time and a half for overtime, how much will he make for working 63 hours?
Marina CMI [18]

Answer:

$1323.00

Step-by-step explanation:

A simple equation that can be used to figure this out is:

p*1.5*o=t

The variables mean:

p- hourly pay

o- hours worked overtime

t- total amount of money earned.

(Also, the 1.5 is always used to calculate overtime, no matter what job, unless otherwise specified, and as referred in the problem as "time and a half").

So, to finally work out this problem:

($14*1.5)*63=?

first, (14*1.5)= $21

($21*63)= $1323.

4 0
3 years ago
Plsss help i need it asap!!!
stepladder [879]

Answer:

C) 7 and 3

Step-by-step explanation:

2x+4+8x-10=x²+15

10x-6=x²+15

0=x²-10x+21

0=(x-3)(x-7)

x=3 and 7

5 0
3 years ago
In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagon
Helga [31]

Answer:

\dfrac{2ab}{a+b}.

Step-by-step explanation:

Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.

Since triangles BOC and AOD are somilar, then

\dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}.

Triangles OAE and CAB are similar, then

\dfrac{EO}{BC}=\dfar{AO}{AC}=\dfrac{b}{a+b}.

This means that

EO=\dfrac{ba}{b+a}.

Similarly, from similar triangles FDO and CDB:

OF=\dfrac{ba}{b+a}.

Thus,

EF=\dfrac{2ab}{a+b}.

6 0
4 years ago
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