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Leokris [45]
3 years ago
14

Beth has 30 days to train for the Olympics. She swims 20 laps on the first day, then each day after that she swims two more laps

that the previous day. So, she swims 22 laps on the second day, 24 laps on the third day, and so on.
Mathematics
1 answer:
hjlf3 years ago
7 0
Wait, what’s the question?
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Student made five tetrahedrons, a three dimensional figure with four triangular faces and labeled the faces 1-4. use an equation
JulsSmile [24]
The probability is 1/1024.

Each tetrahedron has a 1/4 chance of landing on 3, since there are 4 sides and only one of them is marked 3.

Each tetrahedron roll is independent, since no roll is affected by another.

This means we multiply the probabilities:
1/4(1/4)(1/4)(1/4)(1/4) = 1/1024
3 0
3 years ago
Read 2 more answers
If f(x) = 12 – 2 and g(x) = x + 3, find all values of x, to the nearest tenth, for
Leto [7]

Answer:

x=7

Step-by-step explanation:

f(x) =g(x)

12-2=x+3

10=x+3

10-3=x

x=7

6 0
3 years ago
The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.
Andre45 [30]

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

4 0
2 years ago
Coleman uses his graphing calculator to find all of the solutions to the equation shown below.
Phoenix [80]

Answer:

The correct option is;

D. x = -1.38 and 0.82

Please find attached the combined function chart

Step-by-step explanation:

The given equation is x³ + 3 = -x⁴ + 4

Plotting the equation using Excel, we have;

f(x) = x³ + 3, h(x) = -x⁴ + 4

x                                             f(x)                                       h(x)

-1.4                                         0.256                                   0.1584

-1.39                                       0.314381                              0.26699

-1.38                                       0.371928                             0.373261

-1.37                                       0.428647                             0.477246

-1.36                                       0.484544                             0.57898

Which shows an intersection at the point around -1.38

x                                          f(x)                                     h(x)

0.77                                    3.456533                         3.64847

0.78                                    3.474552                         3.629849

0.79                                    3.493039                          3.610499

0.8                                         3.512                                3.5904

0.81                                      3.531441                           3.569533

0.82                                       3.551368                          3.547878

0.83                                       3.571787                            3.525417

Which shows the intersection point around 0.82

Therefore, the correct option is x = -1.38 and 0.82

From the graphing calculator the intersection point is given as

x = -1.3802775691 and 0.81917251339.

8 0
2 years ago
Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this
ollegr [7]

Answer:

a_{n} = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

a_{n} = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

8 0
3 years ago
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