Ask question

Ask question

All categories

3 years ago

13

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

ate of increase or decrease.

1 answer:

Airida [17]3 years ago

8 0

Answer:

hindi ko alam young answer

You might be interested in

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know $x = 6$ & $kx = 7.2$

Substituting 6 for x in the equation $kx = 7.2$ , we get $6k = 7.2$ .

Dividing 6 on both sides $\frac{6k}{6}=\frac{7.2}{6}$

Simplifying fractions on both sides $k=1.2$

Point A from the diagram is (-3, 3)

x-coordinate of A' = $kx=1.2 * -3 = -3.6$

y-coordinate of A' = $ky =1.2*3=3.6$

Point A' is given by (-3.6, 3.6)

Conclusion:

<u>Scale factor of dilation is 1.2</u>

<u>The coordinates of point A' is (-3.6, 3.6)</u>

6 0

3 years ago

Read 2 more answers

Formula for 4,9,14 19

alexira [117]

Answer:

$a_{n }$ = 5n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

9 - 4 = 14 - 9 = 19 - 14 = 5

This indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 5 , then

$a_{n}$ = 4 + 5(n - 1) = 4 + 5n - 5 = 5n - 1

4 0

3 years ago

Read 2 more answers

******Please help me help please help me ******

Veseljchak [2.6K]

Answer:

36

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the surface area of each figure to the nearest tenth.

Stells [14]

For the cylinder on the left-hand-side,

$\bf \textit{surface area of a cylinder}\\\\
S=2\pi r(h+r)\quad 
\begin{cases}
r=radius\\
h=height\\
------\\
h=10\\
r=5
\end{cases}\implies S=2\pi (5)(10+5)$

now, for the triangular prism on the right-hand-side,

notice is really just 2 triangles and 3 rectangles, stacked up to each other at the edges.

the triangles have a base of 4, and a height of 1.5.

the rectangle on the left and the one on the right is a 6x2.5 rectangle.

the rectangle at the bottom, is a 4x6 rectangle.

adding their areas, is the area of the prism,

$\bf \stackrel{two~triangles}{2\left[\cfrac{1}{2}(4)(1.5) \right]}+\stackrel{left-right~rectangles}{2(6\cdot 2.5)}+\stackrel{bottom~rectangle}{4\cdot 6}
\\\\\\
6~~+~~30~~+~~24$

7 0

3 years ago

Convert 88 gallons per minute to liters per second

juin [17]

5.55 liters per second

5 0

3 years ago