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3 years ago

A tree that is 10 feet tall casts a shadow that is is 5 feet long. Find the height of a light pole that casts a 9 foot

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

The light pole is 18 feet tall. This is because it casts a shadow that is 9 feet long.

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At tire depot a pair of tires sells for $216.The manager special advertises the same tires selling at a rate of $380 for 4 tires

irga5000 [103]

$864 all you had to do was multiply 216 by 4 and 380 by 4 to get 1520 and 656 subtract that to get 864

5 0

2 years ago

The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.

dalvyx [7]

Function transformation involves changing the form of a function

The function g(x) is $\mathbf{g(x) = 8(2)^x}$

The function is given as:

$\mathbf{f(x) = 3^x}$

g(x) is an exponential function that passes through points (-2,2) and (-1,4).

An exponential function is represented as:

$\mathbf{y = ab^x}$

At point (-2,2), we have:

$\mathbf{2 = ab^{-2}}$

At point (-1,4), we have:

$\mathbf{4 = ab^{-1}}$

Divide both equations

$\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}$

Simplify

$\mathbf{2=\frac{b^{-1}}{b^{-2}}}$

Apply law of indices

$\mathbf{2=b^{-1+2}}$

$\mathbf{2=b}$

Rewrite as:

$\mathbf{b =2}$

Substitute 2 for b in $\mathbf{2 = ab^{-2}}$

$\mathbf{2 =a(2^{-2})}$

This gives

$\mathbf{2 =a(\frac 14)}$

Multiply both sides by 4

$\mathbf{a = 8}$

Substitute 8 for (a) and 2 for (b) in $\mathbf{y = ab^x}$

$\mathbf{y = 8(2)^x}$

Express as a function

$\mathbf{g(x) = 8(2)^x}$

Hence, the function g(x) is $\mathbf{g(x) = 8(2)^x}$

Read more about exponential functions at:

brainly.com/question/11487261

8 0

2 years ago

What times 2 equals 100

Genrish500 [490]

Answer:

Step-by-step explanation:

50 x 2 = 100

and

100/2 = 50

7 0

3 years ago

Read 2 more answers

Find the reciprocal of 4/5

Shkiper50 [21]

Answer:

its 5/4! haha i used to be good at this when i was in 6th grade:)

5 0

2 years ago

John is saving $6 a week. He has already saved $28. How many weeks will it take John to reach his goal of $100?

Irina18 [472]

Answer:

12 weeks

Step-by-step explanation:

If John is aiming to save $100, with $6 a week and he has already saved $28. The leftover amount to be saved is $100 - $28 = $72

In one week → $6

2 weeks → $12

3 weeks → $18

and so on..

$\frac{72}{6} = 12$

John will need 12 more weeks to save a total of $100.

5 0

2 years ago