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3 years ago

15

Which rectangle if translated 8 units down and 13 units right and then rotated 90° clockwise about the point (5,-4) will result

in
rectangle E?
Rectangle A
Rectangle B
Rectangle C
Rectangle D

2 answers:

Elena-2011 [213]3 years ago

5 0

Answer:

We NEED a graph to see the other rectangle.

Step-by-step explanation:

oksian1 [2.3K]3 years ago

3 0

Answer:

The Answer is A

Step-by-step explanation:

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

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Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

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<u>Step-by-step explanation:</u>

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

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Step-by-step explanation:

Let the number be x, then

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At a grocery store I bought a bag of 7 apples. Some apples are red and some apples are green. How many combination of 7 apples c

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25 less than twice a number is equal to the number. What is the number?

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Step-by-step explanation:

x = the number

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3 years ago

there are 49 dogs signed up for the dog show. there are 36 more small dogs than large dogs. how many small dogs are signed up fo

pogonyaev

Okay, so total dogs are 49.
So we know if x=large dogs and y=small dogs, then x+y=49.
Next we are told that there are 36 MORE small dogs than large dogs. We can take that more meaning addition, and x being our value for large dogs. So y=x+36.
After that we now know what value we can plug in for y. So x+x+36=49.
We can then simplify it to 2x+36=49.
Subtracting the 36 from both sides, leaves you with 2x=13.
Followed by dividing both sides by 2, gives you x=6.5. Or 6.5 large dogs.
Now we can plug this into our formula for the small dogs (y=x+36) to give us y=6.5+36, which simplifies to y=42.5. Or 42.5 small dogs. Which is our answer.
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