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Serggg [28]
3 years ago
8

Find the square root of the cube of 10.3

Mathematics
2 answers:
abruzzese [7]3 years ago
5 0
Taking a sqrt=taking a 1/2 power, so when you take a power of a power, you multiply them. So you’re finding 10.3^(3/2).

=33.056
cricket20 [7]3 years ago
5 0

Hey!!

Find the square root of cube of 10.3

<em>The equation would like : </em>

... [\sqrt{10.3^{3} }

What is √ ?

=> √ is the power to 1/2.

... \sqrt{10.3^{3} }

... \sqrt{1092.727}

... \sqrt{100} * \sqrt{10.92727}

... 10 * 3.305

... 33.05\\

Hope my answer helps!!

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Which is true about rigid transformations and circles?
steposvetlana [31]

A rigid transformation is defined to be one in which the pre-image of the object and its new image after the transformation both have the exact same size and shape. So the answer in this question is:

<span>D. a circle's shape is preserved regardless of any rigid transformation</span>

5 0
3 years ago
What two ways can you find the product of 8x997 using mental math
ss7ja [257]
8=10-2 or
997=1000-3
so we can use distributive property
remember, a(b+c)=ab+ac

for the first one
8(997)=(10-2)(997)=997(10-2)=997(10)+997(-2)=9970-1994=7976

2nd one
8(997)=8(1000-3)=8(1000)+8(-3)=8000-24=7976
7 0
3 years ago
If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)
Eva8 [605]

We can expand the logarithm of a product as a sum of logarithms:

\log_dabc=\log_da+\log_db+\log_dc

Then using the change of base formula, we can derive the relationship

\log_xy=\dfrac{\ln y}{\ln x}=\dfrac1{\frac{\ln x}{\ln y}}=\dfrac1{\log_yx}

This immediately tells us that

\log_dc=\dfrac1{\log_cd}=\dfrac12

Notice that none of a,b,c,d can be equal to 1. This is because

\log_1x=y\implies1^{\log_1x}=1^y\implies x=1

for any choice of y. This means we can safely do the following without worrying about division by 0.

\log_db=\dfrac{\ln b}{\ln d}=\dfrac{\frac{\ln b}{\ln c}}{\frac{\ln d}{\ln c}}=\dfrac{\log_cb}{\log_cd}=\dfrac1{\log_bc\log_cd}

so that

\log_db=\dfrac1{-\frac34\cdot2}=-\dfrac23

Similarly,

\log_da=\dfrac{\ln a}{\ln d}=\dfrac{\frac{\ln a}{\ln b}}{\frac{\ln d}{\ln b}}=\dfrac{\log_ba}{\log_bd}=\dfrac{\log_db}{\log_ab}

so that

\log_da=\dfrac{-\frac23}{\frac89}=-\dfrac34

So we end up with

\log_dabc=-\dfrac34-\dfrac23+\dfrac12=-\dfrac{11}{12}

###

Another way to do this:

\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}

\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}

\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12

Then

abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}

So we have

\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}

4 0
3 years ago
Martha buys a surfboard that cost $405 for 40% off. How much money does she save?
alukav5142 [94]

Answer:

$162

Step-by-step explanation:

Discount = percentage discount ÷ 100 × original cost

Discount = \frac{40}{100} × $405 = $162

7 0
3 years ago
Which one doesn't belong?
Karo-lina-s [1.5K]

Answer:

i would say C

Step-by-step explanation:

7 0
4 years ago
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