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3 years ago

If a base is negative, how will you know whether the answer is positive or negative before evaluating it?

2 answers:

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Whether the answer is positive or negative depends on whether the exponent is odd or even. An odd exponent results in a negative value. An even exponent results in a positive value.

german3 years ago

3 0

Answer:

Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.

Step-by-step explanation:

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A student studying for a vocabulary test knows the meanings of 14 words from a list of 22 words. If the test contains 10 words f

DIA [1.3K]

The sample space is 22 words and out of it, 14 words are known to have meanings for the student. In the problem, we use 10 C8 + 10 C9 + 10 C10 to associate at least 8 words. The complete formula is (10 C8 * (14/22)^8 * (8/22)^2 + 10 C9 (14/22)^9 * (8/22)^1 + 10 C 10 (14/22)^10 * (8/22)^)0) that is equal to 0.233

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3 years ago

Read 2 more answers

2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27

Juli2301 [7.4K]

$i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}$

$ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\
\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}$

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3 years ago

HELLLLLLLLLLLLOOOOOOOO HELPPPPPPP

const2013 [10]

Answer:

<h2><u><em>MARK ME AS BRILLANT </em></u><em>^_^ ~_~</em></h2>

Step-by-step explanation:

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3 years ago

Tyler has at most $20 to spend on rides and games at the carnival. Each ride costs $0.75 and each game costs $0.50. Which inequa

GaryK [48]

Answer:

The inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:

0.75r+0.50g≤20, where:

r is the number of rides

g is the number of games

Step-by-step explanation:

With the information provided, you can say that the amount spent at the carnival is equal to the cost per ride for the number of rides plus the cost per game for the number of games. Also, given that the statement indicates that Tyler has at most $20, the inequality would indicate that the amount spent has to be less than or equal to 20. According to this, the inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:

0.75r+0.50g≤20, where:

r is the number of rides

g is the number of games

3 0

3 years ago

—— ——

blsea [12.9K]

Given: NQ = NT , QS Bisect NT(∴ NS=ST ) , TV Bisects QN (∴ NV=VQ )

To Prove: QS=TV

Proof: In ΔNQT

NQ=NT

$\frac{1}{2}NQ=\frac{1}{2}NT$

∴ VQ=ST

In a isosceles triangle, If two sides are equal then their opposites angles are equal.

∴ ∠NQT=∠NTQ ( ∵ NQ=NT)

In ΔQST and TVQ

ST=VQ (sides of isosceles triangle)

∠NQT=∠NTQ (Prove above)

QT=TQ (Common)

So, ΔQST ≅ TVQ by SAS congruence property

∴ QS=TV (CPCT)

CPCT: Congruent part of congruence triangles.

Hence Proved

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2 years ago