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Keith_Richards [23]
3 years ago
14

lyle has 1/6 of a pound of sunflower seeds. he wants to divide them evenly into 5 snack containers. how many pounds of sunflower

seeds will be in each container
Mathematics
1 answer:
beks73 [17]3 years ago
3 0

Answer:

0.03333333333333

Step-by-step explanation:

1/6 = 0.1666666666666

0.16666666666666 / 5 = 0.03333333333

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Solve the proportion ASAP help do both questions
Strike441 [17]

Answer:

7. 4

8. 7

Step-by-step explanation:

7. \frac{1}{2} = \frac{x}{8}

Cross multiply

1*8 = x*2

8 = 2x

\frac{8}{2} = \frac{2x}{2} (division property of equality)

4 = x

x = 4

8. \frac{3}{x - 3} = \frac{6}{8}

Cross multiply

3*8 = 6(x - 3)

24 = 6x - 18

24 + 18 = 6x (addition property of equality)

42 = 6x

Divide both sides by 6

7 = x

x = 7

6 0
3 years ago
What is the recursive formula when given the explicit formula for the following geometric sequence?
satela [25.4K]

Answer:

C

Step-by-step explanation:

Take a careful look at a(n) =  6(-8)^(n-1).

The first term is 6.  This is the result if we let n = 1; 6(-8)^0 = 6(1) = 6.  Thus, we can immediately eliminate possible answer choices A and D.

What's the next term?  Knowing that the first term, a(1), is 6, the next term is found by multiplying this 6 by (-8)^1, obtaining -48.

The next (third) term is found by multiplying this -48 by (-8)^2, obtaining -48*(+64), or - 3072.

Note that the sign of (-8)^(n-1) alternates, being odd when n-1 is odd and even when n-1 is even.

Answer C is the correct one.  

5 0
3 years ago
Company ABC produces widgets. They have found that the cost, c (x), of making x widgets is a quadratic function in terms of x. T
ElenaW [278]
<span>The fittable function seems to be 2 x^2+4 x+7. So C (167)</span>
5 0
3 years ago
Look at the graph below and answer the following.
bearhunter [10]

Answer:

Part 1) The graph has three (3) x-intercepts and  has one (1) y-intercept

Part 2) The y-value of the minimum point is -3

Part 3) f(4)=3

Part 4) f(0)=3

Part 5) f(5)=1.5

Part 6) x=-6

Part 7) The horizontal line y=-1 intersects the graph three times

Part 8) The value of the function for f(6) is equal to zero

Part 9) The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)

Part 10) The function is positive on the interval (-3,6) and (10,11) and is negative on the interval (-6,-3) and (6,10)

Step-by-step explanation:

Part 1) Find the number of x-intercepts and y-intercepts of the graph

we know that

The<u> x-intercepts</u> are the values of x when the value of y (the function) is equal to zero

Look at the graph

The graph has 3 x-intercepts

The x-intercepts are the points (-3,0), (6,0) and (10,0)

The<u> y-intercepts</u> are the values of y when the value of x is equal to zero

Look at the graph            

The graph has 1 y-intercept

The y-intercept is the point (0,3)

Part 2) The y value of the minimum point on the graph is?

we know that

Look at the picture

The minimum point is (-6,-3)

therefore

The y-value of the minimum point is -3

Part 3)  f(4) is equal to?

we know that

f(4) is the value of the function when the value of x is equal to 4

Look at the graph

For x=4

The value of the function is equal to y=3

therefore

f(4)=3

Part 4) f(0) is equal to?

we know that

f(0) is the value of the function when the value of x is equal to 0

Look at the graph

For x=0

The value of the function is equal to y=3

therefore

f(0)=3

Part 5) f(5) is equal to?

we know that

f(5) is the value of the function when the value of x is equal to 5

Look at the graph

For x=5

The value of the function is about y=1.5  (see the attached figure)

therefore

f(5)=1.5

Part 6) The value of x when f(x)= -3 is?

Look at the graph

we have the point (-6,-3)

when the value of f(x)=-3

the value of x is equal to x=-6

Part 7) The horizontal line y = -1 intersects the graph _____ times?

Look at the graph

The horizontal line y=-1 intersects the graph three times (see the attached figure)

Part 8) f(6) is positive or negative?

Look at the graph

we have the point (6,0)

For x=6

The value of the function is equal to zero

Part 9) Is the graph increasing or decreasing on the interval -6?

Look at the graph

The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)

Part 10) Is the graph positive or negative on the interval 6

Look at the graph

The function is positive (f(x) > 0) on the interval (-3,6) and (10,11) and is negative (f(x) < 0) on the interval (-6,-3) and (6,10)

4 0
3 years ago
What value represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test?
Ket [755]

In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary.

The number of independent ways by which a dynamic system can move, without violating any constraint imposed on it, is called number of degrees of freedom. In other words, the number of degrees of freedom can be defined as the minimum number of independent coordinates that can specify the position of the system completely.

<span>
The degree of freedom
represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test.</span>

8 0
3 years ago
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