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kvasek [131]
3 years ago
12

Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of are at (0, -7) and (8, 8), and the e

ndpoints of are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
Mathematics
2 answers:
Yuliya22 [10]3 years ago
6 0

Answer:

The answer is 1/2

Step-by-step explanation:

Alinara [238K]3 years ago
5 0

Answer:

1/2

Step-by-step explanation:

Plato. just had it

You might be interested in
. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of al
Shtirlitz [24]

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }

n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, Z_\frac{\alpha }{2} is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, Z_\frac{\alpha }{2} = 3. Hence:

n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900

6 0
3 years ago
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The ba
WARRIOR [948]

Answer:

6 jellybean

Step-by-step explanation:

Given that:

Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.

Consider the regular flavored jellybean to be = r;  &

The surprise jelly bean.= s

From the bag, there are 40 jellybeans of which 15% is surprise jellybean.

Therefore the number of expected surprise jellybeans is:

= total number of jellybeans × percentage of surprise jellybean

= 40 × (15 /100)

= 6 jellybean

If  6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean

3 0
3 years ago
Situation:
Rzqust [24]
N=NOe^-kt
N=mass at time t
NO = initial mass
k= 0.1476
t= time, in days

We are asked to find the half-life, which means you want to find how long it will take for half of the substance to decay/disappear (depending on situation). 

If we are looking for half-life, we can simply set N to half of NO (which we are given a value of 40grams for)
Therefore:
N = 20
NO = 40
plugging these values and the value given for k back into the equation you get:

20 = 40e^-0.1476(t)
We are looking for t, so we have to manipulate the formula to get t by itself on one side of the equation.
We can start by dividing 40 from both sides, and you get:
0.5 = e^-0.1476(t)

We have the exponential function "e".
To get rid of e, we can use natural log (ln)
if e^y=x then ln (x) = y
look back at our equation we can set
0.5 = x
-0.1476(t) = y

Rewriting it in natural log form:
ln (0.5) = -0.1476(t)
Plug in ln (0.5) on a calculator to find its value and we get:
-0.693147 = -0.1476(t)
*Note: normally, getting a negative value would suggest that we did something wrong, because you cannot have a negative value as your t (you cannot have negative days), but because there is a negative on both sides of the equation, they will cancel out in this case. 

The last step is to simply divide both sides by -0.1476
therefore:
T = 4.696119
But it asks you for the answer to the nearest tenth (one place after decimal pt) so 
T (half life) = 4.7 days

Hope that helps :)
8 0
4 years ago
200 elementary school students were surveyed to find their blood groups. Of those, 55 were of blood group A, 85 of blood group B
MA_775_DIABLO [31]
The answer would be c for sure
7 0
3 years ago
Read 2 more answers
50 POINTS!!!43 <br> what is 43 7/8% of $2.35?<br> Round your answer to the nearest cent
Natasha2012 [34]

Answer:

$1.03

Step-by-step explanation:

7/8 = 0.875

then

43 7/8 = 43.875%

43.875/100 = 0.43875

2.35 * 0,43875 = 1.031

Round to the neares cent:

1.03

4 0
3 years ago
Read 2 more answers
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