Answer:
Step-by-step explanation:
The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
Write a function that gives the lion population size,
Each year, the population drops to 95% of its previous value. (100 - 5)%
That is, the population is multiplied by 0.95 each year.
Repeated multiplication is signified by an exponent.
Here, that exponent is the number of years from today (t).
<h3>There fore, The population function can be written as ...</h3><h3 /><h3> P(t) = 200·0.95^t</h3><h3>
</h3>
Drop a perpendicular from an obtuse vertex.
That makes a 30 - 60º right triangle, with
hypotenuse 6 and short leg 3. So the long leg,
which is the height of the rhombus, is 3√3 .
Since a rhombus is a parallelogram, its area
is base x height = 6 x 3√3 = 18√3 .
Let's call the prices a and c, a for adult...
The cost of an adult ticket is £7 more than the cost of a child ticket:
a = 7 + c
The total cost of the six tickets is £86.
86 = 2a + 4c
c = a-7
86 = 2a + 4(a-7) = 6a - 28
114 = 6a
a = 19
Answer: £19
Check:
That implies c=12.
2a+4c = 2(19)+4(12) = 38 + 48 = 86, good
the correct question Part 1) is
<span>A school photo has dimensions of 2 1/4 inches by 2 3/4 inches. What are the dimensions of the school photo if it is enlarged by a scale factor of 7?
we know that
2 1/4 in-------> (2*4+1)/4----> 9/4 in
2 3/4 in-----> (2*4+3)/4-----> 11/4 in
if the scale factor=7
the dimensions of the school photo are
(9/4)*7-----> 63/4 in-----> 15 3/4 in
(11/4)*7----> 77/4 in-----> 19 1/4 in
the answer Part 1) is
</span>the dimensions of the school photo are
15 3/4 in x 19 1/4 in
Part 2) <span>Stephanie drew a picture of her house with her prize rosebush in the front. In her picture, she drew the rosebush 1.5 centimeters tall, and she drew the house 7.5 centimeters tall.
If her rosebush is really 0.75 meter tall and she made her drawing to scale, what scale did she use?
scale factor=measure in the drawing/measure in the actual
scale factor=1.5 cm/0.75 m-----> 2 cm/m
that means
2 cm in the drawing is equal to 1 meter in the actual
if the house in the drawing is 7.5 cm tall
the house in the actual is 7.5/2----> 3.75 m
the answer Part 2) is
the scale is 2 cm/meters
Part 3)</span><span>A photo of a painting has a scale of 3 inches = 2 feet. If the photo is 7.5 inches long, how many feet long is the painting?
we know that
</span>
scale factor=measure in the photo/measure in the painting
measure in the painting=measure in the photo/scale factor
scale factor=3/2---> 1.5 in/ft
measure in the photo=7.5 in
measure in the painting=7.5/1.5----> 5 ft
the answer part 3) is
the painting is 5 ft long
Answer:
Step-by-step explanation:
To solve this equation, one must apply the following logarithmic property:
if
then
Applying it to the problem at hand:
The solutions to the problem are 4/7 and -4/7.
*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.
