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3 years ago

Drag values to complete each equation.

Mathematics

1 answer:

Alexus [3.1K]3 years ago

5 0

Answer:

1 and $8^{-1}$

Step-by-step explanation:

using the rules of exponents

• $(a^m)^{n}$ = $a^{mn}$

• $a^{m}$ × $a^{n}$ = $a^{(m+n)}$

• $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

given $(8^3)^{4}$ × $8^{-9}$ / $8^{3}$

= ( $8^{12}$ × $8^{-9}$ ) / $8^{3}$

= $\frac{8^{12+(-9)} }{8^{3} }$ = $\frac{8^{3} }{8^{3} }$ = 1

given ( $8^{3}$ × $8^{4}$ ) / $(8^2)^{4}$

= $\frac{8^{(3+4)} }{8^{8} }$

= $\frac{8^{7} }{8^{8} }$

= $8^{(7-8)}$ = $8^{-1}$

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Y=x^2+5×+2 <br>y=×-1<br><br>pls

docker41 [41]

Answer:

$x=-1 \ or \ x=-3$

Step-by-step explanation:

$y = x^2 + 5x +2\\y = x-1\\\\$

Equating both equations equal to each other:

$x^2 + 5x+2 = x-1\\x^2+5x+2 -x +1 =0\\x^2 + 4x +3 = 0$

Breaking the middle term:

$x^2 + 4x +3 =0\\x^2 +3x + x +3 =0 \\x(x+3) +1 (x+3) = 0\\(x+1)(x+3)=0\\x+1 =0 \ or \ x+3 =0\\x=-1 \ or \ x=-3$

5 0

3 years ago

Consider a roulette wheel consisting of 38 numbers 1 through 36, 0, and double 0. If Smith always bets that the outcome will be

zimovet [89]

Answer:

0.003

Step-by-step explanation:

Given: A roulette wheel consists of 38 numbers 1 to 36, 0, and double 0.

Smith bets that the outcome will be one of the numbers 1 through 12.

To find: probability that Smith will lose his first 5 bets

Solution:

Probability refers to chances of occurrence of some event.

Probability = Number of favourable outcomes/Total number of outcomes

Total number outcomes = 38

As Smith bets that the outcome will be one of the numbers 1 through 12, number of favourable outcomes is equal to 12.

So,

probability that Smith will loss his first bet = $\frac{12}{38}=\frac{6}{19}$

Therefore,

Probability that Smith will lose his first 5 bets = $(\frac{6}{19} )^5=0.003$

4 0

2 years ago

Dolev shared his pretzels equally among 5 friends. If each friend received 7 pretzels, how many pretzels did Dolev have? Select

gtnhenbr [62]

Answer:

B. Multiply by 5 on both sides of the equation. C. 7 × 5 = 35. E. Dolev had 35 pretzels.

Step-by-step explanation:

B. get p by itself

C. if each received 7 and there was 5 people, 5 times 7 would be the total of pretzels

E. 5 times 7 equals 35.

6 0

3 years ago

Read 3 more answers

A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in th

Vesna [10]

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope. Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function. But we can use the same idea. When t = 3, h(t) = 33, so the coordinate point is (3, 33). When t = 6, h(t) = 0, so the coordinate is (6, 0). Plug those values into the slope formula:

$m=\frac{0-33}{6-3}$ and

$m=\frac{-33}{3}$ which is -11

From 3 to 6 seconds, the rocket is falling 11 yards per second.

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3 years ago

Write the phrase as an expression. Then evaluate when y=20.

alisha [4.7K]

Answer:

$Q=\frac{40}{y-16}$

$Q=10$

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is $y-16$

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is $y-16$ . So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and $y-16$ is given as:

$Q=\frac{40}{y-16}$

Now, we need to find the quotient when $y=20$ . Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

$Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10$

Therefore, the quotient is 10, when the value of 'y' is 20.

7 0

3 years ago