Answer:
Step-by-step explanation:
In a geometric sequence, the next term is a constant times the previous term. This constant is determined by dividing the second term by the first, here giving 5. The remaining terms are checked to see that each is 5 times the previous. 75 is 15×5, 375 is 75×5.
Alternately, the nth term is first term times k^(n-1).
Here, that's 3×5^(10-1), 3×5^9=5859375
Answer:
Step-by-step explanation:
The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be 
. The magnitude of 
will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 
, we have:
(Recall that 
)
Now that we've found the vertical component of the velocity and launch, we can use kinematics equation 
to solve this problem, where 
is final and initial velocity, respectively, 
is acceleration, and 
is distance travelled. The only acceleration is acceleration due to gravity, which is approximately 
. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.
What we know:
Solving for 
:
Answer:
D) Distributive property
Step-by-step explanation:
We use distributive property because the 8 is distributed to the 7 and the negative three (it is negative because the expression can also be written as 8(7 + -3). This is how it will look after the distributing:
56 + -24
Answer:
B
Step-by-step explanation:
We can use the Pythagorean theorem to solve this.
(13)^2 = (8)^2+x^2
169 = 64 + x^2
x^2 = 105
x is approximately 10.2, so B
Answer: 7 rides
Step-by-step explanation:
Since it takes $4 to enter the fair, you have
$21.50 - $4 = $17.50 left to spend on rides
$17.50/$2.50 = 7 rides
hope this helps!
