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Galina-37 [17]
3 years ago
13

What is the next term in the sequence?

Mathematics
2 answers:
rjkz [21]3 years ago
8 0

Answer: 51 is your answer

<h3>7, 18, 29, 40, 51</h3>

-Dominant- [34]3 years ago
6 0

Answer: 51

Step-by-step explanation:

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Two sides of a triangle are equal in length. The third side of the triangle is 3 more than the equal sides. If the perimeter of
Inessa [10]

Answer:

18

Step-by-step explanation:

The two smaller sides are 15 and the larger one is 18

7 0
3 years ago
Read 2 more answers
The height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t^2 + 88t where "t" is the time it is
Dvinal [7]

By definition of the zeros of ta quadratic function,  for 5.5 seconds the ball is in the air before it hits the ground.

<h3>Zeros of a function</h3>

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

<h3>Time the ball is in the air before it hits the ground</h3>

In this case, the height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t² + 88t, where "t" is the time it is in the air.

When the ball hits he ground, he height h has a value of zero. This is h=0. Replacing in the previous expression for the height you get:

0= -16t² + 88t

It can be solved by extracting the term "t" as a common factor:

0= t×(-16t + 88)

The Zero Product Principle says that if the product of two numbers is 0, then at least one of the factors is 0. Then:

t= 0

or

0= -16t + 88

Solving: -88= -16t

(-88)÷ (-16)=t

<u><em>5.5= t</em></u>

Finally, this means that for 5.5 seconds the ball is in the air before it hits the ground.

Learn more about the zeros of a quadratic function:

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3 0
2 years ago
What equals 12.5 in multiplication
kramer
2 x 6.25 
is equal to 12.5 in multiplication
7 0
3 years ago
The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random
Zanzabum

1) Mean: 6.5

2) Standard deviation: 3.2

Step-by-step explanation:

1)

A uniform random distribution is the distribution of a variable that can assume n different values, and each of these values is equally likely to occur.

This means that the probability of occurring of each of these values is the same:

p(x_1)=p(x_2)=...=p(x_n)

For a uniform random distribution, the mean of the distribution is simply equal to the median value of the distribution, which is exactly at the center of the distribution itself. It can be calculated as

\bar x = \frac{1}{2}(a+b)

where

a is the lowest value of the distribution

b is the highest value of the distribution

Here the distribution consists of all values ranging from 1 to 12, so:

a = 1

b = 12

Therefore the mean value is

\bar x=\frac{1}{2}(1+12)=6.5

2)

For a uniform random distribution, it can be dimostrated that the variance of the distribution is

\sigma^2 = \frac{1}{12}(b-a)^2

For the distribution in this problem, we have:

a = 1

b = 12

Therefore the variance is

\sigma^2 = \frac{1}{12}(12-1)^2=10.08

The standard deviation is the square root of the variance, therefore for this distribution it is:

\sqrt{\sigma^2}=\sqrt{10.08}=3.2

Learn more about mean and standard deviation:

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3 0
3 years ago
The three interior angle measures of this triangle are x = <br> °, y = <br> °, and z =
tankabanditka [31]

check the picture below.


recall that a flat-line is always 180°, and the sum of all interior angles in a triangle is 180°.

3 0
3 years ago
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