Each student collects $1 per week.
There are 24 students, so combined, they collect $24 per week.
The time irt takes to collect $1500 is
$1500/$24 = 62.5
Answer 62.5 weeks, or if you need a whole number, 63 weeks.
In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:
g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.
Answer:
B. y ≤ –3x + 5
Step-by-step explanation:
Its B, all y-values are less than -3x+5. also consider root by setting -3x+5=0
x=5/3 is positive so its the second one
...................................................................................................................................................
Answer:
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area below the solid line (the gray area)
The slope of the solid line is negative
The y-intercept of the solid line is positive
The equation of the solid line is equal to
therefore
the equation of the inequality is equal to
It may help to draw a picture as you start planning this problem and draw a circle, showing a circle which represents the scale needle's range of motion 360 degrees around. The needle length will then be the radius of that circle.
We know that the needle rotated 68 degrees and are trying to find the distance it traveled in cm. To find out how far the needle traveled, we need to find the arc length - in this case, the distance between the needle's starting point and where it ended up after the oranges were placed on the scale on the circle.
There is a formula you can easily use to find the arc length
arc length = 2*

*r (

)
We need to input the radius, r into this formula, as well as the central angle measure c, which in this case is 68 degrees.
2

(16) (

)
If you multiply the above formula components all together using a calculator, you will get ~18.99. (When rounded to the second decimal place.)
So, the answer is around 19 cm. (Your answer may vary depending on how your teacher usually wants you to round answers.)
Answer: 6.71
Step-by-step explanation: Using the Pythagorean Theorem, we know that a^2 + b^2 = c^2. Substitute a and b with 6 and 3 respectively and we get 6^2 + 3^2 = c^2. Then 36 + 9 = c^2. Next, 45 = c^2, so we take the square root of 45 and round it to the nearest hundredth, giving the answer of 6.71.