Answer:
g(-5) = 15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
g(-5) = -2(-5) +5 = 10 +5
g(-5) = 15
Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
Answer:
Step-by-step explanation:
you have 7 reds of 14 total.
the 1st marble has 7 of 14 probability of being red
the 2nd has 6 of 13 of being red
the 3rd has 5 of 12 of being red
multiplying this out you have:
(7/14)*(6/13)*(5/12)=210/2184
THAT will condense down to 5/52 or 9.615%
this does assume not placing the balls back in between draws
if you do put them back in between draws you would have 7 of 14 chance each draw
that would give you by multiplying out
(7/14) * (7/14)* (7/14) = 343/2744
Found it online lol
that condenses to 1 of 8 or 12.5%
Found it online lol
We have that
<span>the point (7, 1)
case </span><span>A.) y = 5x + 4
if the point </span>(7, 1) lie to the line
so
for x=7 the value of y must be 1
y=5*7+4------> y=39
39 is not 1---------> the point does not belong to the line
case <span>B.) y = -x + 8
</span>if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-7+8------> y=1--------> the point belongs to the line
case <span>C.) y = x - 10
</span>if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=7-10------> y=-3
-3 is not 1---------> the point does not belong to the line
case <span>D.) y = -4x + 3
</span>if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-4*7+3------> y=-25
-25 is not 1---------> the point does not belong to the line
the answer is the option
B.) y = -x + 8
A triangle has a total angle of 180 degrees. Since we know
that angle X = angle N = 20 degrees and angle Y = angle M = 75 degrees,
therefore angle Z or angle L is equal to:
angle L = 180 – 20 – 75
<span>angle L = 85
degrees</span>
Therefore w is:
angle L = 5 (w – 2)
5 (w – 2) = 85
w – 2 = 17
<span>w = 19</span>
