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Artyom0805 [142]
3 years ago
14

I need help with this

Mathematics
1 answer:
Jobisdone [24]3 years ago
8 0
4 units right 1 unit up
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Bruh I’m so confused on how to do 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}  \\ &#10;A = 120 000 000 * e^{0.1411}   \\ &#10;A = 120 000 000 * 1.15 \\ &#10;A = 138 000 000&#10;
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
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