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Reptile [31]
2 years ago
9

REASONING The design for a park is drawn on a coordinate graph. The perimeter of the park is modeled by the equation (x−3)2+(x−7

)2=225. Each unit on the graph represents 10 feet. What is the radius of the actual park?
SAT
1 answer:
andreev551 [17]2 years ago
4 0

Answer:

the radius is 150

Explanation:

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(5.27) An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he m
Inessa05 [86]

werwerwerwerwerwerwerwrwerewrewrwerwerw

5 0
1 year ago
Soon Yi loves to bake, and she is making flaky pastry. Soon Yi starts with a layer of dough 222 millimeters (\text{mm})(mm)left
frozen [14]

Answer:

3 times

Explanation:

When the dough is folded, it increases by a constant factor. We can model the growth of the thickness using the exponential growth model

T(n)=T_0(1+r)^n

Where:

Initial thickness, T_0 = 2mm

Growth factor, r =8%=0.08

We want to find the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5mm.

i.e When T(n)\geq 2.5$ mm

2(1+0.08)^n\geq 2.5\\2(1.08)^n\geq 2.5\\$Divide both sides by 2$\\\dfrac{2(1.08)^n}{2}\geq \dfrac{2.5}{2}\\\\1.08^n\geq 1.25\\\\$Change to logarithm form\\n \geq \log_{1.08}1.25\\\\n\geq \dfrac{\log 1.25}{\log 1.08} \\\\n\geq 2.9

Therefore, the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5mm thick is 3.

4 0
2 years ago
Read 2 more answers
Laurence Peter believes that in a bureaucracy employees often are promoted _____ their level of competence.
const2013 [10]
<span>Laurence Peter believes that in a bureaucracy, employees often are promoted beyond their level of competence. He was a Canadian educator and was known for formulating the Peter Principle which states, "P</span><span>eople are promoted into positions they are not qualified to perform."</span>
3 0
1 year ago
A bacterium was found to contain a sequence of ATCGGGATCCT in its genome. A few generations later, the sequence was found to be
Nana76 [90]

Answer:

duplication  

Explanation:

  • Inversion

If we talk about inversion, it inversion, it is a process in which a specific base sequence is inverted or rearranged in such a way that direction is reversed. For example: ABC is changed into BCA, therefore it is not right option.

  • Translocation

If we talk about translocation,it is  caused by rearrangement of parts between non homologous chromosomes. It can be balanced or unbalanced but it involves two genes or two sets of chromosomes. But in our example, we have only one sequence of DNA under study, therefore, inversion is not possible.

  • Insertion

Talking about insertion, it involves addition of one or more nucleotide at certain position of gene sequence. There are chances that it can be an insertion of GGG but the insertion of three G instead of any random nucleotide addition or nucleotide sequence addition is rare. So, there are less chances that this is an insertion and more chances that this is an exact duplication event.

  • Duplication:

If we talk about duplication, a certain portion of a gene or chromosome is  replicated or duplicated in such a way that it results in more than one copies of that region.

Keeping that definition infront, we see that GGG duplicated to GGGGGG.  So, if we logically look at the question, duplication seems to be the most appropriate option.

Hope it help!

7 0
1 year ago
The value, in dollars, of a certain bicycle t years after it was purchased can be modeled by the function f(t) =200(0.95)^t. Acc
Margarita [4]
The value of the bicycle when it was purchased is $200
8 0
2 years ago
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