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UNO [17]
3 years ago
12

Amanda composed two songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 28

6 seconds. How long is the shorter song?
Mathematics
1 answer:
polet [3.4K]3 years ago
4 0
If there are two songs written and the longest one is 126 seconds less than twice the length of the short song, and the longest one lasts 286 seconds, then the shorter song's length can be found using this formula: 
2x-126=286.
This would then turn into x-63=143 to show the time difference. Solving here for x, would be 206 seconds.
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If f(x) = (1/9)(9^x) what is f(3)
TiliK225 [7]

Answer:  The required value of f(3) is 81.

Step-by-step explanation:  We are given the following function :

f(x)=\left(\dfrac{1}{9}\right)9^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the value of f(3).

Substituting x = 3 in equation (i), we get

f(3)\\\\\\=\left(\dfrac{1}{9}\right)\times9^3\\\\=9^2\\\\=81.

Thus, the required value of f(3) is 81.

8 0
2 years ago
Read 2 more answers
If the given values in a right triangle are cos A =
Vlad1618 [11]
See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²---->  equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

5 0
3 years ago
Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t
stira [4]

Answer:

Option A -  The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function d(t)=81t

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

d(t)=81t

d(t)=81(1)=81

Distance traveled by Train B in 1 hour is

d(t)=81t

d(t)=81(1)=81

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.


8 0
2 years ago
10/21 + ( 2/3 - 1/7 ) =
Marizza181 [45]
Simplify 2/3 - 1/7 to 11/21
10/21 + 11/21
Simplify 
 The answer is 1.
7 0
3 years ago
Read 2 more answers
Hey Guys ~
BaLLatris [955]

ok I got this

So we need to find the value of X so

First, we need to see which one can add up to 22

as we already know, 14+8=22

so B.8

also so yk I'm not just playing I'll even put it in a calculator and show ya

4 0
2 years ago
Read 2 more answers
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