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statuscvo [17]
3 years ago
11

Need help on the last problem please

Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0

Answer:

Step-by-step explanation:

Derivative is the slope of the tangent line at any point.

That slope is positive for x < -5 and x > 0

That slope is negative for -5 < x < 0

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A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l
inn [45]
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0
4 years ago
An arrangement of flowers originally priced at $48.00 is marked down to $39.00. What is the percent of decrease, rounded to the
Mashcka [7]
The answer is C

So how?

I multiplied 48*.19= 9.12 then subtracted that from 48 and got 38.88 which rounds to 39

C is the answer

I hope this helps! :D
6 0
3 years ago
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
pantera1 [17]

Answer:

33

Step-by-step explanation:

3*4*2.75=33

7 0
3 years ago
What are 2 alike fractions with a difference of 1/3 and with denominators that are not 3
egoroff_w [7]
2/6 and 4/6 
(just multiplied 1/3 and 2/3 by 2)
3 0
3 years ago
The distribution of the test statistic for analysis of variance is the F-distribution. true or false
lubasha [3.4K]

Answer:

True. See explanation below

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have k groups and on each group from j=1,\dots,k we have k individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

And we have this property  

SST=SS_{between}+SS_{within}  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1 where k represent the number of groups.  

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-k.  

And the total degrees of freedom would be df=N-1

And the we can find the F statistic F=\frac{MSR}{MSE}

8 0
3 years ago
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