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g100num [7]
4 years ago
6

There is a bag filled with 5 blue and 4 red marbles.

Mathematics
2 answers:
Diano4ka-milaya [45]4 years ago
7 0

Answer:

2/9

Step-by-step explanation:

5+4=9

so getting 2 reds is 2/9

disa [49]4 years ago
4 0

Answer:

4/9

Step-by-step explanation:

You might be interested in
Use what you've learned in this unit to model the population of Western
nekit [7.7K]

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

However, the following is a general guide to solve the question.

An exponential function is represented as:

y = a(1 \pm r)^x

Where:

  • (a) represent the initial value i.e. the initial population of the Western Lowland Gorillas
  • (r) represents the rate at which the population increases or decreases.
  • (x) represents the number of years since 2022
  • (y) represents the population in x years

Given that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)

Take for instance:

y = 2000 * 0.98^x

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

Read more about exponential functions at:

brainly.com/question/26829092

5 0
3 years ago
Find the distance between the points (8,1) and (2,10).<br> Round decimals to the nearest tenth.
miss Akunina [59]

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

Step-by-step explanation:

The given is,

             Two points are (8,1) (2,10)

Step: 1

            By graphical method, refer the attachment,

                    First point (8,1)

                           The values of x=8 and y=1 noted in the graph

                    Second point (2,10)

                          The values of x=2 and y=10 noted in the graph

            Now join the two points (8,1) and (2,10)

                          Measure the distance between two points, the distance is 11 units. Due to some error the value becomes 10.98 or 11.1 we need to convert the answer into nearest whole number.

                                                     ( OR )

Step:1

        By formula method,

                   Distance =  \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1} )^{2} }.....................(1)

        Where,

                    (8,1) are (x_{1},y_{1})

                    (2,10) are (x_{2},y_{2})

       From the equation,

                                 = \sqrt{(2 - 8 )^{2} +(10 - 1 )^{2} }

                                 = \sqrt{(-6 )^{2} +(9 )^{2} }

                                 = \sqrt{36 +81 }

                                  = \sqrt{117}

                                  = 10.81665

                                  ≅ 11             ( Answer convert to the nearest tenth)

                  Distance = 11 units

Result:

               The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

5 0
4 years ago
What is the value of y?
Xelga [282]

Answer:

y = 54

Step-by-step explanation:

We know the sum of the angles of a triangle are 180

72+y+y = 180

Combine like terms

72 + 2y = 180

Subtract 72 from each side

72-72 +2y = 180-72

2y = 108

Divide each side by 2

2y/2 = 108/2

y = 54

7 0
4 years ago
Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
3 years ago
In trip 1 you drove 104 miles in 4 gallons; in trip 2 you drove 78 miles how many gallons did you use in trip 2
BlackZzzverrR [31]
First do 104/4 which equals which equals 26
so you can drive 26miles on one gallon

then do 78/26 which equals 3

so you used 3 gallons of gas on trip 2
4 0
3 years ago
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