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liq [111]
3 years ago
7

Can someone help me with this two questions pls!!! I don't know how I can solve pls!

Mathematics
2 answers:
aivan3 [116]3 years ago
4 0
20)

\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\\\
\textit{also recall that }a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}
\\\\
-------------------------------

\bf \cfrac{(-54)^2}{\sqrt[3]{(-54)^5}}\implies \cfrac{(-54)^2}{(-54)^{\frac{5}{3}}}\implies (-54)^2(-54)^{-\frac{5}{3}}\implies (-54)^{2-\frac{5}{3}}
\\\\\\
(-54)^{\frac{6-5}{3}}\implies (-54)^{\frac{1}{3}}\implies \sqrt[3]{(-54)^1}\implies \sqrt[3]{(-54)}
\\\\\\
\begin{cases}
54=2\cdot 3\cdot 3\cdot 3\\
\qquad 2\cdot 3^3
\end{cases}\implies \sqrt[3]{-1\cdot 2\cdot 3^3 }\implies 3\sqrt[3]{-2}



22)

\bf -5\sqrt[3]{2x+3}=15\impliedby \textit{we first raise both sides by }^3
\\\\\\
(-5\sqrt[3]{2x+3})^3=(15)^3\implies (-5)^3(\sqrt[3]{2x+3})^3=3375
\\\\\\
(-125)(2x+3)=3375\implies 2x+3=\cfrac{3375}{-125}\implies 2x+3=-27
\\\\\\
2x=-30\implies x=-\cfrac{30}{2}\implies x=-15
grandymaker [24]3 years ago
4 0
The first one is,

- 3 \sqrt[3]{2}
The second one is,

x = 12
~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
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Geometry homework! help
Bogdan [553]

Answer:

cos∠ABC = 12/15 = 0.80

tan∠ABC = 9/12 = 0.75

sin∠ACB = 12/15 = 0.80

cos∠ACB = 9/15 = 0.60

tan∠ACB = 12/9 = 1 1/3

Step-by-step explanation:

Find the Adjacent, Opposite, or Hypotenuse angles to the angles in the picture and fill them into the given fraction.

cos∠ABC = Adjacent/Hypotenuse = 12/15 = 4/5 = 0.80

tan∠ABC = Opposite/Adjacent = 9/12 = 3/4 = 0.75

sin∠ACB = Opposite/Hypotenuse = 12/15 = 4/5 = 0.80

cos∠ACB = Adjacent/Hypotenuse = 9/15 = 3/5 = 0.60

tan∠ACB = Opposite/Adjacent = 12/9 = 1 1/3 (1 1/3 in decimal form is 1.3 with a line on top of 3 (Bar on top of 3))

8 0
3 years ago
A salesperson receives step commission on sales calculated as follows:
kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0
3 years ago
Answer the question 5+5+5+5+5
JulsSmile [24]

Answer:

25

Step-by-step explanation:

7 0
3 years ago
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maw [93]
To find the x intercept set y = 0

x^2 + x  - 2 =0 

(x+2)(x-1) = 0

x = -2 , x = 1


8 0
3 years ago
Read 2 more answers
If P = (-2,7), Find:<br> Ry-axis (P)<br> ([?], [])
kumpel [21]

Answer:

(2, 7)

Step-by-step explanation:

R_{\text{y-axis}}(\text{P}) represents the reflection of a point P about the y-axis.

If a point (x, y) is reflected across y-axis, rule for the reflection is,

(x, y) → (-x, y)

If a point (-2, 7) follows the same rule, coordinates of the image point will be,

P(-2, 7) → P'(2, 7)

Therefore, answer is (2, 7).

8 0
3 years ago
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