The answer or range would be 40
7.
remember
(ab)/(cd)=(a/c)(b/d)
we can split them up
and
(x^m)/(x^n)=x^(m-n)

=

9.
2 to 3
4(x-1)=15
to
4x-1=15
the distribuutive prperty
a(b-c)=ab-ac
what he did was
a(b-c)=ab-c
he did not distribute the 4 to the -1
4(x-1)+3=18
minus 3
4(x-1)=15
distribute 4 to x and -1
4x-4=15
add 4 to both sides
4x=19
divide by 4
x=19/4
Answer: 81°
Explanation:
1) Law of cosines:
In a triangle with sides a, b, c whose opposite angles are, respectively, A, B and C, the law of cosines states:
b² = a² + c² - 2 (a)(c) cos (B)
2) In the triangle of the figure you have
b = 4.0
B = ?
a = 2.2
c = 3.7
⇒ (4.0)² = (2.2)² + (3.7)² - 2 (2.2) (3.7) cos(B)
⇒ 16 = 4.84 + 13.69 - 16.28cos(B)
⇒ 16.28 cos(B) = 4.84 + 13.69 - 16 = 2.53
⇒ cos(B) = 2.53 / 16.28
⇒ X = arccos(2.53 / 16.28 ) = 81.06° ≈ 81°
Answer:
0.0195 = 1.95% probability that on any given day only John gets homework
Step-by-step explanation:
What is the probability that on any given day only John gets homework?
John has a 65% probability of getting homework.
Paul has a 100 - 80 = 20% probability of not getting homework.
Sonia has a 100 - 85 = 15% probability of not getting homework.
Since these events are independent, the probability is the multiplication.
0.65*0.2*0.15 = 0.0195
0.0195 = 1.95% probability that on any given day only John gets homework
Answer:
y = M X + B
Step-by-step explanation:
y - y1 = m (x - x1)
x1 = 2
y1 = 5
m = 1/7
y - 5 = (1/7) (x - 2)