Answer:
0.4
Step-by-step explanation:
100(0.4)=40
Answer:
10.5625 is the answer I got.
Step-by-step explanation:
I used the process PEMDAS for this equation.
(6.5÷2)^2
6.5÷2= 3.25^2
Now you bring down the new quotient and multiply it by itself.
3.25 x 3.25= 10.5625
Answer is 9
A(x)=f(b)-f(a)/b-a
where a=-10 b=10
f(x)= x^2+9x+18
f(a)=(-10)^2-90+18=28
f(b)=208
A(x)=208-28/10+10
A(x)=180/20=9
The formula for the nth term of a geometric sequence:
a₁ - the first term, r - the common ratio
![54, a_2, a_3, 128 \\ \\ a_1=54 \\ a_4=128 \\ \\ a_n=a_1 \times r^{n-1} \\ a_4=a_1 \times r^3 \\ 128=54 \times r^3 \\ \frac{128}{54}=r^3 \\ \frac{128 \div 2}{54 \div 2}=r^3 \\ \frac{64}{27}=r^3 \\ \sqrt[3]{\frac{64}{27}}=\sqrt[3]{r^3} \\ \frac{\sqrt[3]{64}}{\sqrt[3]{27}}=r \\ r=\frac{4}{3}](https://tex.z-dn.net/?f=54%2C%20a_2%2C%20a_3%2C%20128%20%5C%5C%20%5C%5C%0Aa_1%3D54%20%5C%5C%0Aa_4%3D128%20%5C%5C%20%5C%5C%0Aa_n%3Da_1%20%5Ctimes%20r%5E%7Bn-1%7D%20%5C%5C%0Aa_4%3Da_1%20%5Ctimes%20r%5E3%20%5C%5C%0A128%3D54%20%5Ctimes%20r%5E3%20%5C%5C%0A%5Cfrac%7B128%7D%7B54%7D%3Dr%5E3%20%5C%5C%20%5Cfrac%7B128%20%5Cdiv%202%7D%7B54%20%5Cdiv%202%7D%3Dr%5E3%20%5C%5C%0A%5Cfrac%7B64%7D%7B27%7D%3Dr%5E3%20%5C%5C%0A%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B27%7D%7D%3D%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%0A%5Cfrac%7B%5Csqrt%5B3%5D%7B64%7D%7D%7B%5Csqrt%5B3%5D%7B27%7D%7D%3Dr%20%5C%5C%0Ar%3D%5Cfrac%7B4%7D%7B3%7D)
Answer:
8 km
Step-by-step explanation:
It is given that, the scale of a map says that 8 cm represents 5 km. We need to find the actual number of kilometers that is represented by 5 centimeters on the map.
8 cm = 5 km
1 cm = (8/5) km
For 5 cm, multiply (8/5) km by 5.
So,
x = 8 km
So, 8 km is represented by 5 centimeters on the map.
