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ankoles [38]
3 years ago
11

Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they differ

ent?
Mathematics
1 answer:
kenny6666 [7]3 years ago
3 0
Two figures are similar if they have the same shape but not necessarily the same size although they are the same shape they are different sizes
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The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will
lakkis [162]

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

V(t) = 14651(0.81)^{t}

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

V(t) = 14651(0.81)^{t}

(0.81)^t = \frac{V(t)}{14651}

\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}

t\log{(0.81)} = \log{(\frac{V(t)}{14651})}

t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}

(a) $8000

V(t) = 8000

t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7

The car will be worth $1000 after 12.7 years.

5 0
3 years ago
A sport statistician gathered data on the number of points scored in each game by high school basketball players across the coun
Sonbull [250]

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98

<h3>What is a sample size?</h3>

The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.

Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.

For a population mean of 20.15 and a standard deviation of 3.7

68% are within μ ± σ/√n,

hence,

68% = 20.15 ± 3.7/√20 = (19.32, 20.98)

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98.

To learn more about  sample size from the given link:

brainly.com/question/22927560

#SPJ4

6 0
2 years ago
What is an algebraic expression for a number n divided by 4
Morgarella [4.7K]

n/4 because all it wants is a number which is expressed by n divided by 4



8 0
3 years ago
Find the length of PR
svetlana [45]

Answer:

4(2x+1)

Step-by-step explanation:

Add the expressions 3x-2 and 5x+6

which is 8x+4

since every one of the answers are in distributive form, just take the GCF (Greatest Common Factor) out of both

5 0
3 years ago
Read 2 more answers
Which fraction is NOT equivalent to 4/9 ?
BARSIC [14]
Everything that is not 4/9
8 0
3 years ago
Read 2 more answers
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