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lakkis [162]
2 years ago
13

|5c -3|= 1 Solve for C (this is homework help-)

Mathematics
2 answers:
irina [24]2 years ago
4 0

Answer:

Step-by-step explanation:

Dmitriy789 [7]2 years ago
3 0

Answer:

|5c - 3|  = 1 \\ 5c - 3 = 1 \\ 5c = 4 \\ c =  \frac{4}{5} \:  or \:  -  \frac{4}{5}

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what is the sum of a 7-term geometric series if the first term is negative 11 the last turn is -45056 and the common ratio is -4
patriot [66]
For a geometric sequence with common ratio r, we have

a_n=a_{n-1}r


that is, the n-th term in the sequence is the product of the previous term and the common ratio r. So

a_n=a_{n-1}r=a_{n-2}r^2=\cdots=a_1r^{n-1}

Then the sum of the first 7 terms is

S_7=\displaystyle\sum_{n=1}^7a_n=a_1+a_2+\cdots+a_7
\implies S_7=a_1+a_1r+\cdots+a_1r^6

Notice that

S_7r=a_1r+a_1r^2+\cdots+a_1r^7

so we can subtract this modified sum from S_7 to get

S_7-S_7r=S_7(1-r)=a_1-a_1r^7\implies S_7=a_1\dfrac{1-r^7}{1-r}

We're told that a_1=-11 and r=-4, so the sum of the first 7 terms is

S_7=(-11)\dfrac{1-(-4)^7}{1-(-4)}=144,188
3 0
3 years ago
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 2/3. What is the probabili
Aleksandr [31]

Answer:

19.75%

Step-by-step explanation:

Since we are trying to find the probability for a sequence of events then we need to multiply the probability of each event happening separately from each other. Since the probability of it raining on a single day is 2/3 we need to multiply this value with itself 4 times (one for each day).

2/3 * 2/3 * 2/3 * 2/3 = 16/81 or 0.1975 or 19.75%

Therefore the probability would be 16/81 or 0.1975 or 19.75%

3 0
2 years ago
HELP. How long is the minor axis for the ellipse shown below?
kifflom [539]

Given:

The equation of ellipse is

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

                                  = 2(4)

                                  = 8

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

8 0
2 years ago
MP Persevere with Problems Suppose 20
grigory [225]

9514 1404 393

Answer:

  8 people

Step-by-step explanation:

If 20 of 140 people play tennis, then in a group of 504 people, we expect ...

  (20/140) × 504 = 72 . . . . tennis players

If 1 of 9 tennis players has a coach, then in a group of 72 tennis players, we expect ...

  (1/9) × 72 = 8 . . . . have a coach

We expect 8 of the 504 people have a tennis coach. We made this prediction by applying the given rates to the larger group.

7 0
3 years ago
Y + 4x = 8 and 5x + 2y = 13
Ivanshal [37]
Y + 4x = 8
y = 8 - 4x
substitute 8 - 4x for y in the other equation.
5x + 2(8 - 4x) = 13
5x + 16 - 8x = 13
-3x = -3
x = 1
y = 8 - 4(1) = 4
4 0
3 years ago
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