A=-.25+6.7t, s=.75+4.5t when Amir catches up a=s so:
-.25+6.7t=.75+4.5t add .25 to both sides
6.7t=1+4.5t subtract 4.5t from both sides
2.2t=1 divide both sides by 2.2
t=10/22 hr
t≈0.45 hr (to nearest hundredth)
Answer:
<RQP = 70°
Step-by-step explanation:
<RQP = 1/2 (140)
<RQP = 70°
The number 12,300 is written 1.23 x 10⁴ as a scientific notation. It's coefficient is 1.23; base is 10⁴ in exponent form.
Scientific notation is a method developed by scientists to shorten the number that expresses a very large number. The scientific notation is based on powers of the base number 10.
Scientific notation has two numbers: coefficient and base. The coefficient must be greater than or equal to 1 and less than 10. The base is always 10 written in exponent form.
12,300 as coefficient in standard form in scientific notation.
1) put decimal after the first digit and drop the zeros. from 12,300 to 1.23 this is the coefficient.
2) to find the exponent, count the number of places from decimal to the end of the number.
1.2300 ; there are 4 places
So the scientific notation is 1.23 x 10⁴
Answer:
<h2>n>8</h2>
Step-by-step explanation:
Step one:
given data
needed amount= $80
the amount already saved= $8
earnings per hour= $9
let the number of hours worked be n
and let y represent the total
the situation represented linearly is
y=mn+c
Step two:
substituting our data to find n
9n+8>80
9n>80-8
9n>72
divide both sides by 9
n>72/9
n>8
Therefore he must work a minimum of 8houees
9514 1404 393
Answer:
increasing 7/24 ft per week
Step-by-step explanation:
An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.
If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...
b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)
Then the rate of change of b with respect to x is ...
b' = (-2x +14)/(2√(-x^2 +14x +576))
When x=0, the rate of change of the base is ...
b' = 14/(2√576) = 7/24
The base is increasing 7/24 ft per week when the height is 7 ft.
