Answer:
- 100
- 489.190
- 10,000
- 48,919,000
Step-by-step explanation:
Each factor of 10 in the divisor causes the decimal point to move 1 place to the left.
a) The decimal point has moved 2 places to the left. The divisor is 10^2 = 100.
b) The divisor is 10^3, so the decimal point will move 3 places to the left.
489.190
c) The decimal point has moved 4 places to the left, so the divisor is 10^4 = 10,000.
d) The divisor is 10^5, so the decimal point in the quotient if 5 places to the left of where it is in the dividend. Moving the quotient's decimal point 5 places to the right gives ...
48,919,000
_____
<em>Additional comment</em>
An exponent signifies repeated multiplication. Here, we're concerned with repeatedly multiplying (or dividing) by factors of 10. The exponent indicates the number of factors: 10·10 = 10^2 = 100. It also matches the number of zeros following the 1 in the product. 1000 = 10^3 has 3 zeros after the 1, for example.
<h3>
Answer: B. 62 degrees fahrenheit</h3>
====================================================
Explanation:
x = elevation in feet
y = temperature in fahrenheit
The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.
The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.
We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60
Now plug in x = 2000 to find the temperature at this elevation
y = 0.001x+60
y = 0.001*2000+60
y = 2+60
y = 62
Answer:
1. 4; 2. 32; 3. 9; 4. 8; 5. 12; 6. 16; 7. 6; 8. 8; 9. 8; 10. 8
<span>Three numbers can be defined as x, y, and z.
x + y + z = 64
y = x+3
z = 2x - 11
.
substitute for y and z
x + (x+3) + (2x-11) = 64
4x -8 = 64
4x = 72
x = 18
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.</span>
The function that represent this exponential decay is given as y = A(0.85)ˣ
<h3>What is an
exponential function?</h3>
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given that A is the initial value, there is a decay of 15%, hence:
b = 100% - 15% = 0.85
The function that represent this exponential decay is given as y = A(0.85)ˣ
Find out more on exponential function at: brainly.com/question/12940982