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Zina [86]
3 years ago
5

The missing number in the series 1,4,27,__,3125 is:

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

D )  256

Step-by-step explanation:

The given sequence is  1,4,27, ---, 3125

This is sequence of given problem

1^{2},2^{2} ,3^{3} ,4^{4} ,5^{5}

so here missing is '4' term is

The fourth term is 256.

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6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.
dusya [7]

Answer:

Radius = 5

center is (19,-1)

(x-19)^2(y+1)^2= 25

Step-by-step explanation:

Two points in the plane, (19,4) and  (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)

(19,-1)

Equation of the circle

(x-h)^2(y-k)^2= r^2

h,k is the center and r is the radius

h=19 and k=-1 , r=5

(x-19)^2(y+1)^2= 25

8 0
3 years ago
Vincent’s savings over several weeks are shown in the table. If a linear function models Vincent’s savings over time, how much m
nataly862011 [7]

Answer:

I think that its $35

Step-by-step explanation:

4 0
3 years ago
You are ordering a pizza. You have a choice of three toppings: mushrooms, pepperoni, and peppers. How many different pizzas can
astra-53 [7]
U can do exactly 6 different pizzas
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3 years ago
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Edward had 100 newspapers to deliver on his paper route. He had already delivered 25
kati45 [8]

Answer:

50 newspapers

Step-by-step explanation:

100 (total amount of newspapers) - 25 (amount Edward already sold) = 75 (amount of newspapers left)

75 (amount of newspapers left) ÷ 3 (Edward and his 2 friends) = 25 (equal amount each person delivered)

25 (amount Edward already sold) + 25 (amount Edward sold after his friends helped him) = 50 (amount of newspapers Edward sold in total)

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3 years ago
There are two newborns, Gary and Eric. The future lifetime of Gary is uniformly distributed between 0 to 60 years. The future li
scoray [572]

Answer:

\text{The probability that Gary dies first = }\frac{1}{3}

Step-by-step explanation:

To find the required probability,

We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

\frac{t}{60}\times \frac{dt}{40}=\frac{t\cdot dt}{2400}

Hence the probability that Gary dies first is  given by :

=\int_{0}^{40}\frac{t}{2400}dt \\\\= \frac{1}{3}

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