Answer:
Step-by-step explanation:
Let's look at what 10^100 and 100^10 are as numbers without exponents.
Ten raised to a positive integer exponent is a 1 followed by the number of zeros the exponent tells you. For example, 10^2 is 100, or 1 followed by 2 zeros, just like the exponent 2 tells you. 10^5 is 1 followed by 5 zeros, or 100,000. A googol is 10^100 which is a 1 followed by 100 zeros.
Let's use rules of exponents to understand what 100^10 is.
100^10 = (10^2)^10
To raise a power to a power, multiply powers.
100^10 = (10^2)^10 = 10^20
We know what 10^20 means. It is a 1 followed by 20 zeros.
A googol, 10^100, is a 1 followed by 100 zeros.
100^10 is the same as 10^20 or 1 followed by 20 zeros.
A googol is much, much greater than 100^10.
Answer:
7 years
Step-by-step explanation:
Suri's age=17 years
Her cousin's age =c
Suri's age is 4 less than 3 times her cousin's age
4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age
17=3c - 4
Find c which is her cousin's age
Add 4 to both sides
17+4=3c - 4 + 4
17+4=3c
21=3c
Divide both sides by 3
21/3=3c/3
7=c
Therefore,
C= 7
Her cousin's age = 7 years
Answer:
A) 12x + 10y
B) 118cm
Step-by-step explanation:
A) A fórmula para calcular o perímetro de um retângulo é dada como:
Perímetro de um retângulo = 2 (L + W)
= 2L + 2W
Onde
L = comprimento do retângulo
W = largura do retângulo
A) A pergunta nos diz que:
O comprimento de um retângulo é 6x e sua largura é 5y.
A expressão algébrica que representa o perímetro do retângulo =
Perímetro de um retângulo = 2 (L + W)
= 2L + 2W
L = 6x, W = 5y
= 2 (6x) + 2 (5y)
= 12x + 10y
A expressão algébrica que representa o perímetro do retângulo é
P = 12x + 10y
B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.
P = 12x + 10y
x = 4cm
y = 7cm
Perímetro = 12 (4) + 10 (7)
Perímetro = 48cm + 70cm
Perímetro do retângulo = 118cm
Portanto, o valor numérico do perímetro é 118cm
Answer:
5.2
Step-by-step explanation:
To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1, and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.
