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rosijanka [135]
3 years ago
7

Given parallelogram ABCD , diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8 . Find the length of AC

. A. 4 B. 8 C. 6 D. 2
Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

I think the answer shod be B

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Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,3024).
Dmitrij [34]

Answer:

y = 14 (6)^{x}

Step-by-step explanation:

For an exponential function of the form y = ab^{x}

Use the given points to find a and b

Using (0, 14 ), then

14 = ab^{0} ( b^{0} = 1 ) , thus

a = 14

y = 14b^{x}

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = \sqrt[3]{216} = 6 , thus

y = 14 × 6^{x} ← exponential function

5 0
3 years ago
A treatment is administered to a sample of n = 9 individuals selected from a population with a mean of µ = 80 and a standard dev
stepan [7]

Answer:

a) M =82

Step-by-step explanation:

Let´s study this as a Normal distribution.

As we know in a normal distribution the z score is = (X-μ)/(sd/sqrt(n))

where

X = mean for the taken sample = What we want to know in this problem

μ = Total population mean =80

sd= standard deviation= 12

n = sample size=9

So in this case z=( X-80)/(12/sqr(9))= (X-80)/4

also we know that the effect size taken by the machine is 0.5, which is the same as the z-score

so...

0.5 = (X-80)/4 => 0.5*4 = X-80

2+80 = X

X = 82

4 0
3 years ago
Can 121/12 be simplified to be smaller than it already is?
mr_godi [17]

Answer:

no

Step-by-step explanation:

7 0
2 years ago
An insurance company pays Tommy a $400 commission for selling a $100,000 insurance policy. At this rate, what would be Tommy’s c
ololo11 [35]

Answer:

$100

Step-by-step explanation:

He gets paid a commission of $400 for a $100,000 insurance policy. We need to find out how much he's gonna get paid for a $25,000 insurance policy.


Break down the $100,000 into four equal amounts if possible, which it is:

$25,000

$25,000

$25,000

$25,000

Now break down his commission of $400 for the $100,000 insurance policy into four equal amounts if possible, which it is:

$100

$100

$100

$100

Now since we split them up into four equal parts you can tell how much he would get paid for a $25,000 insurance policy.

He would get paid $100 for the $25,000

6 0
3 years ago
A suit is on sale for $154. If the original price of the suit was $440, what percent was discounted for the sale
Zina [86]
440(100-p)/100=154

440(100-p)=15400

44000-440p=15400

-440p=-28600

p=65%

So the price was discounted 65% off the original price.
5 0
3 years ago
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