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solong [7]
3 years ago
14

Help me please I’m stuck

Mathematics
2 answers:
Anna35 [415]3 years ago
6 0

Answer:

103

Step-by-step explanation:

There is 540 degrees total in a pentagon. To find the missing angle, you must subtract all the known angles from 540. 540-100-117-105-115=103

Goryan [66]3 years ago
5 0
THE ANSWER SHOULD BE 103
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Use matrices to write the equation of the function in the form y = mx + b that contains the points
Fofino [41]

The line has a slope of -6 and a y intercept of 7.

The linear equation is given by:

y = mx + b;

where m is the slope of the line, b is the y intercept, y, x are variables.

The equation of the line passing through the points (6.-29) and (-4,31) is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-29)=\frac{31-(-29)}{-4-6}(x-6)\\\\y+29=-6(x-6)\\\\y=-6x+7

Hence the line has a slope of -6 and a y intercept of 7.

Find out more at: brainly.com/question/13911928

3 0
2 years ago
Let C(n, k) = the number of k-membered subsets of an n-membered set. Find (a) C(6, k) for k = 0,1,2,...,6 (b) C(7, k) for k = 0,
vladimir1956 [14]

Answer:

(a) C(6,0) = 1, C(6,1) = 6, C(6,2) = 15, C(6,3) = 20, C(6,4) = 15, C(6,5) = 6, C(6,6) = 1.

(b) C(7,0) = 1, C(7,1) = 7, C(7,2) = 21, C(7,3) = 35, C(7,4) = 35, C(7,5) = 21, C(7,6) = 7, C(7,7)=1.

Step-by-step explanation:

In this exercise we only need to recall the formula for C(n,k):

C(n,k) = \frac{n!}{k!(n-k)!}

where the symbol n! is the factorial and means

n! = 1\cdot 2\cdot 3\cdot 4\cdtos (n-1)\cdot n.

By convention 0!=1. The most important property of the factorial is n!=(n-1)!\cdot n, for example 3!=1*2*3=6.

(a) The explanations to the solutions is just the calculations.

  • C(6,0) = \frac{6!}{0!(6-0)!} = \frac{6!}{6!} = 1
  • C(6,1) = \frac{6!}{1!(6-1)!} = \frac{6!}{5!} = \frac{5!\cdot 6}{5!} = 6
  • C(6,2) = \frac{6!}{2!(6-2)!} = \frac{6!}{2\cdot 4!} = \frac{5!\cdot 6}{2\cdot 4!} = \frac{4!\cdot 5\cdot 6}{2\cdot 4!} = \frac{5\cdot 6}{2} = 15
  • C(6,3) = \frac{6!}{3!(6-3)!} = \frac{6!}{3!\cdot 3!} = \frac{5!\cdot 6}{6\cdot 6} = \frac{5!}{6} = \frac{120}{6} = 20
  • C(6,4) = \frac{6!}{4!(6-4)!} = \frac{6!}{4!\cdot 2!} = frac{5!\cdot 6}{2\cdot 4!} = \frac{4!\cdot 5\cdot 6}{2\cdot 4!} = \frac{5\cdot 6}{2} = 15
  • C(6,5) = \frac{6!}{5!(6-5)!} = \frac{6!}{5!} = \frac{5!\cdot 6}{5!} = 6
  • C(6,6) = \frac{6!}{6!(6-6)!} = \frac{6!}{6!} = 1.

(b) The explanations to the solutions is just the calculations.

  • C(7,0) = \frac{7!}{0!(7-0)!} = \frac{7!}{7!} = 1
  • C(7,1) = \frac{7!}{1!(7-1)!} = \frac{7!}{6!} = \frac{6!\cdot 7}{6!} = 7
  • C(7,2) = \frac{7!}{2!(7-2)!} = \frac{7!}{2\cdot 5!} = \frac{6!\cdot 7}{2\cdot 5!} = \frac{5!\cdot 6\cdot 7}{2\cdot 5!} = \frac{6\cdot 7}{2} = 21
  • C(7,3) = \frac{7!}{3!(7-3)!} = \frac{7!}{3!\cdot 4!} = \frac{6!\cdot 7}{6\cdot 4!} = \frac{5!\cdot 6\cdot 7}{6\cdot 4!} = \frac{120\cdot 7}{24} = 35
  • C(7,4) = \frac{7!}{4!(7-4)!} = \frac{6!\cdot 7}{4!\cdot 3!} = frac{5!\cdot 6\cdot 7}{4!\cdot 6} = \frac{120\cdot 7}{24} = 35
  • C(7,5) = \frac{7!}{5!(7-2)!} = \frac{7!}{5!\cdot 2!} = 21
  • C(7,6) = \frac{7!}{6!(7-6)!} = \frac{7!}{6!} = \frac{6!\cdot 7}{6!} = 7
  • C(7,7) = \frac{7!}{7!(7-7)!} = \frac{7!}{7!} = 1

For all the calculations just recall that 4! =24 and 5!=120.

6 0
3 years ago
Subtract 4 1/3 -8 enter your answer as a simplified mixed number by filling in the boxes
harina [27]
-3 2/3 I just changed the mixed number into a improper fraction
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Write an explicit function for f(x) <br> Can anyone help me with this please I’ll mark as brainliest
stiv31 [10]

Answer:

Explicit Function:

Any function which when expressed in terms of the independent variable is called an explicit function. For example, if we write y=f(x)

, then the dependent variable y is given in terms of the independent variable x by the function f(x). Thus y=f(x) is an explicit function. But, g(x,y)=c

is not explicit as it is a combination of both x and y. Such a function is called implicit.

Step-by-step explanation:

What is meant by implicit function?

An implicit function is a function that is defined by an implicit equation. That means the equation contains several variables, including dependent and independent. In other words, it is an equation that relates one of the variables, recognized as the value of the function, with the others regarded as the arguments.

What is an explicit function?

An explicit function is a function that is represented in terms of an independent variable. For example, y = 4x – 7 is explicit where y is a dependent variable and is dependent on the independent variable x.

How do you know if a function is implicit?

If a function is written in the form f(x, y) = 0, we can say that the given function is implicit.

What is implicit function differentiation?

We differentiate or find the derivative for both sides of the equation in implicit function differentiation.

What is explicit and implicit?

In general, “explicit” means clearly stated, whereas “implicit” refers to proposed and not stated directly.

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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