Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.

Eric found that about 60% of 80 classmates at school like hip-hop music. However, 70% of his 60 relatives like hip-hop.

DerKrebs [107]

Answer:

60% of 80 is about 48. 70% of 60 is 42. The number of his classmates who like hip-hop is greater than the number of his relatives who like hip-hop.

Step-by-step explanation:

6 0

3 years ago

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Last year, Lisa biked 376 miles. This year, she biked m miles. Using m , write an expression for the total number of miles she b

sweet-ann [11.9K]

The expression for this problem is 376+m=

4 0

3 years ago

a missile is launched from the ground. its height, h(x), can be represented by a quadratic function in terms of time, x, in seco

fomenos

Answer:

The height of the missile in the air after 11 seconds is 330 feet.

Step-by-step explanation:

The standard form for the quadratic function f(x)= $ax^2 + bx + c$ , which is the function of the parabola model.

We are given two points.

(1, 130) and (2, 240)

Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.

Now plug these two coordinates and find the two equations.

(1, 130), the equation is

130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.

Therefore, we get

130 = a + b + 0

a + b = 130 -------(1)

Now let's form the second equation using the coordinate (2, 240)

240 = $a(2)^2 + b(2) + 0$

240 = 4a + 2b -------------(2)

Now let's solve the equations (1) and (2) and find the value of "a" and "b"

a + b = 130 can be written as a = 130 - b

Here we can use the substitution method.

Now plug in a = 130 - b in the second equation, we get

240 = 4(130 - b) + 2b

240 = 520 - 4b + 2b

240 = 520 - 2b

2b = 520 - 240

2b = 280

Dividing both sides by 2, we get

b = 140

Now plug in b = 140 in a = 130 -b and find the value of a

a = 130 - 140

a = -10

Now we got a = -10 and b = 140.

We plug in a = -10 and b = 140 in the general form, we gety

h(x) = $-10x^2 + 140x + c$

Where c is the initial height, which is equal to 0.

h(x) = $-10x^2 + 140x$

Now plug in x = 11 seconds and find the height.

h(11) = -10(11)^2 + 140 (11)

= -10 (121) + 1540

= - 1210 + 1540

h(11) = 330 feet,

Therefore, the height of the missile in the air after 11 seconds is 330 feet.

6 0

3 years ago

The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe

yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

= 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

$=\frac{14}{8!}$

= $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

$=\frac{7!}{8!}$

$=\frac{1}{8} = 0.125$

c). The two events are not independent because

$P(A \cap B) \neq P(A) \times P(B)$

$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

8 0

3 years ago

✨a Pls help I will park you as brainlist promise ✨✨

svlad2 [7]

A. I am pretty sure that is right

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3 years ago

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