The initial population of the town is 7000, rate of reduction is 3%, thus the function modeling the new population will be given by:
f(t)=7000(0.97)^t
thus since our t=0 is in the year 2010, in the year 2019, t=19. The new population will be:
f(19)=7000(0.97)^19
f(19)=3,924.29
Thus the estimated population will be 3,924.29
Part A:
For the first figure it can be seen that the orientation of the pre-image (<span>∆RST) is the same as that of the image (∆R'S'T').
The image is obtained from the pre-image by shifting the pre-image some units down.
Therefore, the </span><span>single transformation that transforms ∆RST to ∆R'S'T' is a translation.
Part B:</span>
<span>
For the second figure it can be seen that the orientation of the pre-image (<span>∆RST) is the same as that of the image (∆R'S'T').
The image is obtained from the pre-image by shifting the pre-image some units down and some units to the right.
Therefore, the </span><span>single transformation that transforms ∆RST to ∆R'S'T' is a translation.
Part C:
</span></span><span>
For the third figure it can be seen that the orientation of the pre-image (<span>∆RST) is not the same as that of the image (∆R'S'T').
The image is obtained from the pre-image by rotating the pre-image some 180 degrees.
Therefore, the </span><span>single transformation that transforms ∆RST to ∆R'S'T' is a rotation.
Part D:
</span></span><span>
For the fourth figure it can be seen that the orientation of the pre-image (<span>∆RST) is not the same as that of the image (∆R'S'T').
The image is obtained from the pre-image by refrecting the pre-image.
Therefore, the </span><span>single transformation that transforms ∆RST to ∆R'S'T' is a reflection.</span></span>
Answer:78 guests
Step-by-step explanation:
understanding the problem
the furniture is set up for the reunion and we need to determine how many guests are expected
devising a plan
the furniture for guests = chairs
steps
determine the number of tables as there are 6 chairs to each table
what is the unknown?
number of tables and number of chairs
what are the data?
364 furniture legs
tables sit 6 chairs each
tables have 4 legs
each chair has 4 legs
which letter should determine the unknown?
a= tables
b= chairs
what is the condition linking the letters
a*6=b
(a+b)*4=364
is the condition sufficient to determining the unknown?
364/4= a+b
91= a + b
a * 6 = b
b/6 = a
91- b = a
91 = (91-b) + a
(91-b) * 6 = b
b/6=91-b
b= 6*91 - 6b
b = 546 - 6b
b + 6b = 546
7b = 546
b = 546 / 7
answer
b = 78 guests = chairs
test
a*6 = 78
a= 78/6 = 13 tables
(a + 78) * 4 = 364
(13+78)*4 = 364
91*4= 364 correct
364/4= a+ 78
91 = a + 78
91 - 78 = a = 13 tables
This question makes no sense, If you mean we are trying to find Rugby, then yes I get that but, Football was only mention once, and once only. I think it's possibly 72 students chose Rugby. The First equation is basically useless unless you are given an Idea of the fact that we need to use the first equation. If that is the case then 12 people chose football. If I didn't help I apologize for that but I was given a question I couldn't make sense of.
Answer:
156.7 miles
Step-by-step explanation:
Since is tangent to the circle, then it is also a right angle with the radius, from here, just do Pythagorean theorem () to solve for .
Since 1 leg and the hypotenuse is given to you, you want to solve for the other leg, which is (either or ). Lets use for and set up the equation.
(round to nearest tenth)