Answer:
given
p=q^3
p=40
______
q=(p)^1/3
q=(40)^1/3-->q=2(5)^1/3
Now
the value of half of q , (2(5)^1/3)÷(2) ,is 5^1/3.
finally the value of p gonna be
p=q^3
p=(5^1/3) ^ 3
p=5
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
Answer:
Step-by-step explanation:
Given:
First Number = 97
Second Number = 
We need to find the product of two numbers in Scientific notation.
Product of two numbers means we need to multiply two number.
Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.
Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.
Number of decimal point moved needs to be counted. This number is b.
If decimal are moved to the left b is positive.
If decimal are moved to the right b is negative.
If decimal are not moved b = 0.
scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."
Hence the product is;
Expressing in Scientific Notation form we get
Hence the Answer is .
Answer:
8
Step-by-step explanation:
45.5 + 15.5x < 175
15.5x < 129.5
x < 8.35
Answer: 8
The lateral surface area excludes the top and bottom, the <em>bases </em>as they're referred to here. So we have the 9×5 front and back, and the 9×6 left and right sides.
Lateral Area = 9×5 + 9×5 + 9×6 + 9×6 = 9×(5+5+6+6) = 9×22 = 198
Answer: 198 square inches
