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larisa [96]
3 years ago
9

XYZ will be translated so that the coordinates of X' are (5,11). What will be the coordinates of Z'? A= (5,8) b= (6,7) c= (7,6)

d= (8,5) p.S - I'm super new here and just now figuring out how to work this website...
Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

z' = (6,7)

Step-by-step explanation:

Given

X' = (5,11)

See attachment

Required

The image of Z

From the attachment:

X = (7,11)

This implies that:

X' = (x - 2,y)

Using the same rule for z;

z = (8,7)

z' = (8-2,7)

z' = (6,7)

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Find the limit of the function by using direct substitution.
Pavel [41]

ANSWER

lim_{x \to \: 0}( {x}^{2} - 1)  =  - 1

EXPLANATION

The given limit is

lim_{x \to \: 0}( {x}^{2} - 1)

To evaluate this limit by direct substitution,

We put x=0 in the function.

This implies that that ,

lim_{x \to \: 0}( {x}^{2} - 1)  =  {0}^{2}  - 1

This simplifies to,

lim_{x \to \: 0}( {x}^{2} - 1)  = 0 - 1

lim_{x \to \: 0}( {x}^{2} - 1)  =  - 1

This means that as x-values approach zero, the function approaches -1.

7 0
3 years ago
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A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

X=1 number of citrus trees that are infected with the citrus red mite.

n=5 random sample taken

\hat p=\frac{1}{5}=0.2 estimated proportion of citrus trees that are infected with the citrus red mite.

p true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values would be given by:

t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56  

And rounded up we have that n=6147

5 0
4 years ago
The perimeter of a rectangular meadow is 1004 m. What
nadezda [96]

Answer:

hope it works for u

Step-by-step explanation:

Given the length of the rectangle = l

the breadth  of the rectangle = b

perimeter of the rectangle = sum of length of all sides of the rectangle  

                                             = l+ b+ l+ b

                                             =2 l+2 b

                                             =2( l+ b)

∴ perimeter of the rectangle =2( l+ b)

as given perimeter = 1004 m

hence ,

2(l+ b)= 1004

(l+ b)=1004/2  = 502 m

<h2>l+ b=502 m</h2>

8 0
4 years ago
a certain arithmetic sequence has the following explicit formula for the nth term: an = 2 + (n - 1)(6) The same sequence has the
MrMuchimi

Answer:

A. 6

Step-by-step explanation:

The formula for nth arithmetic sequence =

aₙ = a₁+(n - 1) d

a₁ = First term

n = number of terms

d = common difference

In the question above, explicit formula for the nth term:

aₙ = 2 + (n - 1)(6)

This means, the first term a1 = 2

d = 6

The same sequence has the following recursive formula:

aₙ = aₙ₋₁+ ___

The formula for a recursive formula is

aₙ= aₙ₋₁+ d

Where the common difference from the nth term = 6

Therefore , the number that belongs in the blank space in the recursive formula is 6

3 0
3 years ago
GUYS PLEASE HELP!!!
Softa [21]

Answer:

i think A. (-3,0) is answer

6 0
2 years ago
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