Answer:
<h3>
1) 7x - 5
</h3><h3>
2) 9y - 18
</h3><h3>
3) 0.5n + 4n
</h3><h3>
4) 2(w³+23)</h3><h3>
Step-by-step explanation:</h3>
1)
The product of seven and a number x: 7·x = 7x
<u>Five less than the product of seven and a number x:</u>
<h3>
7x - 5
</h3>
2)
nine times a number y: 9·y = 9y
<u>The difference of nine times a number y and eighteen:</u>
<h3>
9y - 18
</h3>
3)
half a number n: 0.5n
four times the number: 4·n = 4n
<u>Half a number n increased by four times the number:</u>
<h3>
0.5n + 4n
</h3>
4)
a number w cubed: w³
the sum of a number w cubed and twenty-three: w³+23
<u>Twice the sum of a number w cubed and twenty-three:</u>
<h3>2(
w³+23)</h3>
Answer:
2.33 × 10^6
Step-by-step explanation:
I just used a calculator, to be honest. It was super simple.
2.33 * 10^6
2.33 * (10*10*10*10*10*10)
which then equals 2,330,000
Answer: 219.375 miles
<u>Step-by-step explanation:</u>
d = r * t
= 67.5 * 3.25
= 219.375
Answer:
Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:
m - slope
The formula of a slope:
We have the points (4, 6) and (6, 10). Substitute:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>
Q4:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:
<em>use distributive property</em>
<em>add 6 to both sides</em>
Choice given:
<span>33.6°
39.8°
50.2°
56.4°
I drew the figure.
I got 12 ft as the hypotenuse, 10 ft as the opposite.
Sin</span>Θ = opposite / hypotenuse
SinΘ = 10/12
SinΘ = 0.83
I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
sin(39.8°) = 0.64
sin(50.2°) = 0.77
sin(56.4°) = 0.83
The angle where the wire meets the ground is approximately 56.4°
