Please help me. 4^(x+1)+2^(x+1)+2^x-1=0

Answer:

The statue is 22ft tall.

Step-by-step explanation:

Here we will have two similar triangle rectangles.

One is made between the girl's feet, the mirror, and the girl's eyes.

So in this case the catheti are:

the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)

The other triangle rectangle has the vertices:

The mirror, the base of the statue, and the top of the statue.

Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).

Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.

Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:

3m = k*12m

And the height of the girl must be k times the height of the statue.

5.5ft = k*X

You can see that we have different units, this does not matter because k is a dimensionless constant.

With the first equation we can find the value of k

3m = k*12m

3m/12m = k

(3/12) = 1/4 = k

Now we can replace this in the other equation to get:

5.5ft = (1/4)*X

Solving this for X we get:

(5.5ft)*4 = X

22ft = X

The height of the statue is 22ft.

Answer:

27.5%

Step-by-step explanation:

Hi!

To do this problem, we have to set up a percent proportion:

[tex]\frac{3.3\\}{x}[/tex] = [tex]\frac{12}{100}[/tex]

In this problem, the denominators are the percent values and the numerators are the numerical value.

x = [tex]\frac{3.3*100}{12}[/tex]

x = [tex]\frac{330}{12}[/tex]

x = 27.5%

Hope this helped.

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I think its option 2

Answer:

32,322,237 million or 3.23million

Step-by-step explanation:

Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt

Applying the formula given above

N=Noe^rt

No = 2.62 million

r = 3.5% = 0.035

t = 2010 - 2004 = 6 years

N = 2.62 × e^6 × 0.035

N = 3.2322365171 million

= 32,322,237 millon

Approximately = 3.23 millon

Answer:

y - 2 = (-1/4)(x - 8)

Step-by-step explanation:

The slope of the given line is 4.  The slope of any line perpendicular to the given line is the negative reciprocal of 4, which is -1/4.

Use the point-slope formula:

y - k = m(x - h), where (h, k) is the given point.

Then:  y - 2 = (-1/4)(x - 8)

Answer:300

Step-by-step explanation:

Answer:

256 is the right ama as 4/5*320 is 256

y < -12

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−2y − 8 > 16

Step 2: Add 8 to both sides.

−2y − 8 + 8 > 16 + 8

−2y > 24

Step 3: Divide both sides by -2.

−2y/−2 > 24/−2

y < −12

Answer:

y < −12

Step-by-step explanation:

                                                     −2(y + 4) > 16      

                                                               ↓

                                                      −2y − 8 > 16

                                                               ↓

                                                          y < −12

Answer:

Step-by-step explanation:

Ok lets find 20% of 35 first.

20% of 35 is just 2 lots of 10%

10% of 35 is 3.5 if we move over the decimal

2 lots of 3.5 is 7

add the tip on

35 + 7 = 42

42 / 2 = 21

They each get $21

good luck mate!

-cheesetoasty

Answer:

Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.

Answer:-.8,1.4

Step-by-step explanation:Had this question on my exam hope I helped:))

Answer:

D

Step-by-step explanation:

The Answer Is Just D. Don't Ask Me How Just Trust Me It's D. Sorry I Can't Give An Explanation! I Not That Smarts. But It Is D! Have A Good Day!

Answer:

b

Step-by-step explanation:

102.4..... you're right

Answer:

the answer is  102.4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

30.25 seconds

Step-by-step explanation:

If you want to find the time at which the wrench hits the ground, you must recognize that the height of the wrench is 0 feet. If h represents the height, then 0 can be plugged in for h. The equation is now 0=16x+484. You then must subtract 484 from both sides, giving you -484=16x. You then divide both sides by 16 to give you x by itself. -484/16=-30.25. Because this is dealing with time and negative time does not exist, the negative sign on the 30.25 can be neglected.

Answer:

48 square. Units

Step-by-step explanation:

Given that :

Triangle and rectangle have the same base, b and height, h

AREA of triangle = 0.5 * base * height

48 = 0.5 bh

bh = 0.5 * 48

bh = 96

Total area of section 1 & 2 :

bh = area of triangle + x

X = bh - area of triangle

X = 96 - 48

Area of se tion 1&2 = 48

Answer:

Brittany is 15 years old

Step-by-step explanation:

The way we get the answer is by getting the age of Alyssa 45-15=30 as, Jazmin is 15 years older than Alyssa and then we can see that Alyssa is twice as old as Brittany so we divide Alyssa's age by two. 30÷2=15 and we get Brittany's age which is 15 years old.

Answer:

Median is used to describe the center of the data of heights of 50 basketball players.

Step-by-step explanation:

The median divides the data into two equal parts.

It can be used to describe the center of the data.

The mean gives the average where most data lies.

The advantages of median are

1)it is located even when the values are not capable of quantitative measurements.

2) It is not affected by extreme values > It can be computed even when a frequency distribution  involves open end classes like those of income and prices.

3) In a highly skewed distribution median is appropriate average to use.

The disadvantages of the mean are

1) it is greatly affected by extreme values.

2) It sometimes gives fallacious conclusions.

3) In a highly skewed distribution mean is  not an appropriate average to use.

4) It cannot be computed even when a frequency distribution  involves open end classes like those of income and prices.

Step-by-step explanation:

So our m = (4+1)/(3+2) = 1

4 = -2 + b

b = 6

y = x + 6

Answer:

c

Step-by-step explanation:

Answer:

4²+b² = 5²

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the length of the missing side.

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.  Algebraically, this is represented as

a²+b² = c²

We have the measure of one leg, 4 in.  We also have the measure of the hypotenuse, 5 in.  This gives us

4²+b² = 5²

I hope this helps <3

Answer:

(a+b)(a+b)

=a^2 + ab + ab + b^2

=a^2 + 2ab + b^2

Answer:

(a+b)² = ( a +b ) (a + b )

= a² + b² + 2ab

Answer:

H = .298

Step-by-step explanation:

First lets plug in 1.5 for R and  16 for Surface area to get the following

2*pi*1.5^2+2*pi*h = 16  We are solving for H or height

Lets simplify this out a bit to get

16 = 14.13+6.28h

Subtract 14.13 from both sides

1.87 = 6.28h

h= .298

To check our answer lets plug the height into the equation

2*pi*1.5^2+2*pi*.298 = 16

Yes the height or H is .298

To check your answer just plug back what you got before into the equation

Answer:

V = 497.8 cm^3

Step-by-step explanation:

Thats Righttt

The volume of the cone is 1592.6 cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The right circular cone's vertex is immediately above the base's centre. The line connecting the vertex with the centre point of the base is perpendicular to the cone's radius. A cone, on the other hand, can have its vertex anywhere.

Given that, a right circular cone with the height of 19.4 cm and a base with a diameter of 9.9 cm. we need to find the volume,

Volume of cone = 1/3 × π × radius² × height

= 1/3 × 3.14 × (9.9/2)² × 19.4

= 1592.6 cm³

Hence, the volume of the cone is 1592.6 cm³

Learn more about volume, click;

https://brainly.com/question/1578538

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Answer:

270 : 210

Step-by-step explanation:

total ratio

9 + 7 = 16

ratio 1

480 ÷ 16 =30

ratio 9

30 × 9 = 270

ratio 7

30 × 7 =210

Answer:

she has a total of 216 inches of ribbon

Step-by-step explanation:

1 foot is equal to 12 inches.

if she has 3 feet per ribbon, and each foot is 12 inches, then 3 × 12 would be 36, making each ribbon 36 inches.

But, she has 6 pieces of ribbon, so that's 36 inches 6 times. 6 × 36 is 216, so she has a total of 216 inches of ribbon.

1) x= 14

2) x=110

3) x=5

4) x=110

extra

1) x=4

2) x=6

3) x=10