I need help with this

Dmitrij [34]

Rotation doesn't matter for this question... <em>The dilation is key... you made each side of the triangle 4 times bigger</em>

<h3>Answer:</h3>

A. False:

$Area= \frac12 \times base \times height$ .... if the base is 4 times bigger and the height is 4 times bigger .... <em>the area will be </em><em>16</em><em> times bigger</em>

B. True .... you just add all sides, each is 4 times bigger

C. False ... by definition of dilation, the sides grew

D. True... Size changed, but the shape stayed the same (so, did the angles)

3 0

2 years ago

Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value o

strojnjashka [21]

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

n: 1 2 3 4

f (n): 260 360 460 560

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

$a_{n}=\frac{n}{2}[2a+(n-1)d]$

Compute the value of f (11) as follows:

$f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]$

$=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360$

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

5 0

2 years ago

Electric current flowing through wire produces heat that

morpeh [17]

I’m not sure? But don’t answer the guy with the bitly it’s a scam

5 0

2 years ago

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

3 years ago

What are the coefficients in the following expression 8x + 5 + 6y

erastovalidia [21]

Answer:

8 5 and 6 are the coefficients

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers