Answer:
Step-by-step explanation:
As 5 ⋅ 5 ⋅ 7 ⋅ 7 ⋅ 7 = 5² ⋅ 7³ = 8575
Exponential notation: 5² ⋅ 7³
Decimal Notation: 8575
i) 3 ⋅ 8 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 8 = 3 . 7³ . 8² = 65856
Exponential notation: 3 . 7³ . 8²
Decimal Notation: 65856
ii) 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 6 ⋅ 3 = 3 . 6 . 7⁴ = 43218
Exponential notation: 3 . 6 . 7⁴
Decimal Notation: 43218
Answer:
13 and three-fourths inches
Step-by-step explanation:
The map distance can be found using a proportion with the map scale.
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map distance / (1100 mi) = (1 in) / (80 mi)
map distance = (1100×1)/80 in = 13 3/4 in . . . multiply by 1100 mi; cancel mi
The trip will be about 13 3/4 inches on the map.
Answer:
=6d−6
Step-by-step explanation:
Let's simplify step-by-step.
2d+17−3−20+4d
=2d+17+−3+−20+4d
Combine Like Terms:
=2d+17+−3+−20+4d
=(2d+4d)+(17+−3+−20)
=6d+−6
Answer:
=6d−6
Answer: 7pi
Step-by-step explanation: If it completes the circumference distance (14pi) of the circle in 20 seconds, in 10 seconds it will complete half of that. or 7pi. Hope this helped!
Answer:
x = 2
Step-by-step explanation:
h(x) = f(x) + g(x) = x³ + 2x² + 1 - x³ - x² - 4x + 4 ← collect like terms, thus
h(x) = f(x) + g(x) = x² - 4x + 5
Given
h(x) = 1, then
x² - 4x + 5 = 1 ( subtract 1 from both sides )
x² - 4x + 4 = 0 ← in standard form
(x - 2)² = 0 ← in factored form ( perfect square ), thus
x - 2 = 0 ⇒ x = 2
