Answer:
8 × 10¹
Step-by-step explanation:
don't panic. just breathe deeply and then think logically.
0.002 ... what is that ? 2 10ths ? 2 hundredths ? 2 thousandths ? 2 tenthousandths ?
the 3rd position after the decimal point is for 1/1000.
and that means 10^-3. in the same way as 1000 is 10³.
so, it is 2 × 10^-3.
the other rounded number is then 4 × 10⁴.
now, we are multiplying both numbers
2×10^-3 × 4×10⁴
what do we do ?
we combine the same types of factors, like the basic constants : 2×4 = 8
and 10^-3 × 10⁴.
what hairball when we multiply the same base number with exponents ? we add the exponents :
10^-3 × 10⁴ = 10¹ = 10
because -3 + 4 = 1
and so, the result is
8 × 10¹
Consecutive odd integers are 2 apart
they are
n,n+2,n+4
3(n²)=12+(n+2)(n+4)
expand
3n²=12+n²+6n+8
3n²=n²+6n+20
minus n² both sides
2n²=6n+20
divide bot sides by 2
n²=3n+10
minus 3n+10 both sides
n²-3n-10=0
factor
(n-5)(n+2)=0
n-5=0
n=5
n+2=0
n=-2
has to be odd, so no
n=5
n+2=7
n+4=9
the integers are 5,7,9
Answer:
Step-by-step explanation:
THe price would be $90
This is an exponential decay function of the form:
y=ab^x, In this case:
y=15000(0.8^t) so for t=3
y=15000(0.8^3)
y=$7680
Answer:
<em>6 cm </em>
Step-by-step explanation:
<u><em>I don't know may I use the trigonometry functions, therefor I'm going to use Pythagorean theorem and property of 30°-60°-90° triangle.</em></u>
m∠ACB = 120° ⇒ m∠ACD = 60° ⇒ m∠DAC = 30°
DC is opposite to 30° angle ⇒ AC = CB = 8 cm
From ΔADC: AD² = 64 - 16 = 48 ; AD = 4√3 cm
ΔACB is isosceles ⇒ m∠CAB = m∠CBA = 30°
m∠DAH = m∠DAC + m∠CBA = 2(30°) = 60° ⇒ m∠ADH = 30° ⇒ AH = 4√3 ÷ 2 = 2√3 cm
From ΔADH: <em>DH</em> = 
= √36 = <em>6 cm</em>
