2^(x+2)=2048 Solving for x

What is the area of this trapezoid

Elden [556K]

Be more specific. Like what is it asking you to do ? I'm trying to help. :)

4 0

3 years ago

Need help with 10, 11, and 12. Need help fast!!

vova2212 [387]

#10. In order to find a ratio, all we need to do is set up a simple equation and then cross-multiply!

I'll show you !

In this case, we'll take the already established ration (14 : 8 ) and find the equivalent ratio where 7 is in place of 14 (7: x) 

x will be the other table value we are looking for!

Now let's set up the equation and cross-multiply!

$\frac{14}{8} = \frac{7}{x}$

cross multiply 14 and x, then 8 and 7

We get: 14x = 56

solve to find x!

x = 56/14

x = 4 blankets

Now let's use the ratio 7: 4 to find what goes with 16 in the table!

$\frac{7}{4} = \frac{x}{16}$

4x = 112

x = 112/4

x = 28 towels

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#11. : Using the same method, I'll fill in the values of the table on #11

16 forks, 10 spoons

8 forks, 5 spoons,

48 forks, 30 spoons

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#12. If the neighbor pays you $17 for every 2 hours of work, we need to find how many times 2 hours goes in 8 hours of work

We do this by dividing

8/2 = 4 times

2 hours of work goes into 8, 4 times!

Now we multiply 4 by $17 to find how much your neighbor owes you!

$17 × 4 = $68

Your neighbor owes you $68 !!!

8 0

2 years ago

Which of the following sets represents the range of the diagram below

dmitriy555 [2]

Answer:

C. {2, 4, 5}

Step-by-step explanation:

We are given a function mapping.

The first diagram represents the domain and the second one represents the range.

The set of all range = {2, 4, 5}

Answer: C. {2, 4, 5}

Hope you will understand the concept.

Thank you.

3 0

3 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

8 0

3 years ago

A rectangular swimming pool has a perimeter of 96 ft. The area of the pool is 504 ft2. Which system of equations models this sit

gregori [183]

Answer:

2l + 2w = 96 ..... eqn1

lw = 504 ...... eqn2

Step-by-step explanation:

To model this case where we have two unknowns l and w, we need two equations.

Firstly, the perimeter of a rectangle is given by

2l + 2w = p

Where l,w and p are length, width and perimeter of the rectangle respectively.

Hence,

2l + 2w = 96 ... eqn1

Secondly, the area of a rectangle is given by

Length × width = Area

Hence,

l × w = 504

lw = 504 ... eqn2

With these two equations the solutions to the length and width of the rectangular pool can be derived.

3 0

4 years ago

2^(x+2)=2048Solving for x​

2^(x+2)=2048Solving for x