If 3^2x1 = 3^x+5, what is the value of X?

Answer:

10x=480    (x=48)

30 people must show up  for the total cost per person to be $16

Step-by-step explanation:

p= people

10p = 480    

($10 multiplied by the number of people)   10p

p = 48

  48 people bought $10 entrance

     $16 multiplied by the number of people  =16p  

16p = 480

p = 30

 30 people must show up  for the total cost per person to be $16

Answer:

10 cm

Step-by-step explanation:

mostly guess and check, 15 is 5 more than 10, and both added together is 25.

The actual distance between the cities is 200 km using multiplication.

The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.

If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:

30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km

Therefore, the actual distance between the two cities is 200 km.

Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:

3 cm / 20 km = 30 cm / x

Cross-multiplying and solving for x, we get:

x = (20 km / 3 cm) × 30 cm = 200 km

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Step-by-step explanation:

12 is your answer

22/7 × 1.95× 1.95

you will get 11.9

round off to get

12

bai

$. 101.08

[tex]SUPERFACE=(4.5)(3.75)ft^2[/tex]

                        [tex]=16.875ft^2X[/tex]

[tex]Cos:\$5.99\times \frac{1}{At^2}\times16.875{\rm ft}^2[/tex]

[tex]Cost=\$101.08y.[/tex]

I hope this helps you

:)

Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.

In that case we use the concept of area of rectangle.

The area of a rectangle is the measure of the size of the surface enclosed by a rectangle in a two-dimensional plane. It is calculated by multiplying the length of the rectangle by its width.

In mathematical terms, the formula for calculating the area of a rectangle is:

Area = Length x Width

To find the area of the shower floor, we need to convert the blueprint measurements to actual measurements.

1 inch on the blueprint represents 3 feet, so:

Height of shower floor = 1.25 inches * 3 feet/inch

Height of shower floor = 3.75 feet

Width of shower floor = 1.5 inches * 3 feet/inch

Width of shower floor = 4.5 feet

The area of the shower floor is then:

Area = Height * Width

Area = 3.75 feet * 4.5 feet

Area = 16.875 square feet

So the cost of tiling the bathroom would be:

Cost = Area * Cost per square foot

Cost = 16.875 square feet * $5.99/square foot

Cost = $100.86

Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.

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Answer:

d/dx x^4 + 4x^3 - 10

4x^3 + 12x^2

4x^3 + 12x^2 = 0

x = 0, -3

plug in x if you want the value

Answer:

B and B

Step-by-step explanation:

A = bh

A = 15 × 8

A = 120 in²

A = bh

A = 20 × 13

A = 260 in²

The area of the parallelogram shown are 120 in² and 260 in².

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

We are given that parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram

A = bh

A = 15 × 8

A = 120 in²

Now,

A = bh

A = 20 × 13

A = 260 in²

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Answer:

[A}

Step-by-step explanation:

Graph using the end point and a few selected points.

x     y

0     1

1     2

2  2.41

Graph also below:

Find y intercept

[tex]\\ \rm\rightarrowtail y=\sqrt{x}+1[/tex]

[tex]\\ \rm\rightarrowtail y=0+1=1[/tex]

Option A

Answer: The width is 15 yards and the length is 24 yards

Step-by-step explanation:

Let x represent the width of the parking lot in yards

Let the length of the parking lost be (x + 9) as the length is 9 yards greater than the width

So, area = width * length

i.e. 360 = x(x + 9)

360 = x2 + 9x

x2 + 9x - 360 = 0

x2 + 24x - 15x - 360 = 0

x(x + 24) - 15(x + 24) = 0

(x + 24)(x - 15) = 0

Either x = -24 or, x = 15

But as width can not be negative, so we can not have, x = -24

So, we have, x = 15

Therefore, (x + 9) = (15 + 9) = 24

So, we have the following answers.

Width : 15 yards

Length : 24 yards

Answer:

x= 11.57017697

x= 41.2

x=16.50849765

Step-by-step explanation:

sin40=x/18

=> x= sin40 *18

tan x = 14/16

=> x= 41.2

cos 32 = 14/x

=> x= 14/ cos32

Answer:

109.375

Step-by-step explanation:

We need to multiply all of the lengths and widths by 2 1/2 in order to make the dimensions 2 1/2 times larger.

For length:

[tex]5\frac{1}{4}[/tex]  x  [tex]2\frac{1}{2}[/tex] = 13.125 or [tex]13\frac{1}{8}[/tex]

For width:

[tex]3\frac{1}{3}[/tex]  x  [tex]2\frac{1}{2}[/tex] = 8.333 or [tex]8\frac{1}{3}[/tex]

Then to find the area use the equation:

A = l x w (Area = length x width)

And plug in the values:

A = [tex]13\frac{1}{8}[/tex]  x  [tex]8\frac{1}{3}[/tex] = [tex]\frac{875}{8}[/tex] or [tex]109\frac{3}{8}[/tex] or 109.375

The distance of the sailboat from the island at this time will be 131.78 miles.

The distance of the sailboat from the island will be calculated by using the law of cosines. This will be:

a² = (18 × 4) + 200² - (2 × 72 × 200 cos 15°)

a² = 72 + 200² - (144 × 200 cos 15°)

a = 131.78 miles.

The angle that should be used by the sailboat to correct its course will be:

= 180° - (sin 15°/131.78)

= 180° - 22.95°

= 157.05°

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Answer:

population

Step-by-step explanation:

Answer:

  a. 693²

  b. 148.2 yd²

Step-by-step explanation:

The area of a parallelogram is the product of its base length and the height measured perpendicular to that base.

__

  A = bh = (21 m)(33 m) = 693 m²

__

  A = bh = (19 yd)(7.8 yd) = 148.2 yd²

Answer:

The total compound interest is $1,047,130.76.

Step-by-step explanation:

The amount of the money received after 1 year is $31384283.7672.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal = $10,000,000, rate of interest =10% and time period = 1 year

Here, A=10,000,000(1+10/100)¹²

= 10,000,000(1.1)¹²

= $31384283.7672

Therefore, the amount of the money received after 1 year is $31384283.7672.

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Answer:

1800 in^3

Step-by-step explanation:

Answer:

(-3, -2)

Step-by-step explanation:

When a point is translated, the key words are very important to look at.

Up/down means you are translating the y axis.

Left/right means you are translating the x axis.

So using this key, we can solve.

-------------------------------------------------------------------------------------------------------------

A point located at (-3, 2) is translated down 4 units.

Since the point is going down, we will be translating the y axis. 2-4 is -2.

Since the x is staying the same, the x will be -3.

So your translated points are (-3, -2)

-------------------------------------------------------------------------------------------------------------

I hope this helps!

-No one

Answer:

a)x=12

b)64 degress

Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).

Answer:

the answer is shown below

I truly hope this helps you -TJ

Step-by-step explanation:

here you go

Answer:

D

Step-by-step explanation:

Edge

Answer:

26÷2=13 so if the longer one is 2 cm longer so 13+1 =14. the shorter one is going to be 13-1=12 so 12+14 =26 and the shorter one is 2 cm smaller then the longer one

Answer:

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

Step-by-step explanation:

Find the coordinates of all  vertex

Solve:

(-1, -2 ) ⇒ this point is the vertex D of the pre-image

( 7 , 1 ) ⇒  this point is the vertex B of the pre-image

(-1, 7 ) ⇒ this point is not a vertex of the pre-image

(-1, 1 ) ⇒  this point is the vertex A of the pre-image

( 7 , -2 ) ⇒ this point is the vertex C of the pre-image

Thus, the answer is

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

~Lenvy~

Answers:

A ... (–1, –2)

B ... (7, 1)

D ... (–1, 1)

E ... (7, –2)

Step-by-step explanation:

Got it correct on Edge2020

[tex]- 10(2) + y = 4[/tex]

[tex] - 20 + y = 4[/tex]

[tex]y = 24[/tex]

[tex] - 10( 1) + y = 4[/tex]

[tex] - 10 + y = 4[/tex]

[tex]y = 14[/tex]

[tex] - 10(0) + y = 4[/tex]

[tex]0 + y = 4[/tex]

[tex]y = 4[/tex]

[tex] - 10( - 1) + y = 4[/tex]

[tex]10 + y = 4[/tex]

[tex]y = - 6[/tex]

[tex] - 10( - 2) + y = 4[/tex]

[tex]20 + y = 4[/tex]

[tex]y = - 16[/tex]

Answer:

-2 = -16

-1 = -6

0 = 4

1 = 6

2 = 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the sine of the angle, the other trig function values can be determined:

  cos(B) = √(1 -sin²(B)) = √(1 -(1/√3)²) = √(2/3) = (√6)/3

  tan(B) = sin(B)/cos(B) = (1/√3)/(√2/√3) = 1/√2 = (√2)/2

__

Then the unknown side can be found from ...

  Tan = Opposite/Adjacent

  tan(B) = y/x

  y = x·tan(B) = 8·√2/2 = 4√2 ≈ 5.66

__

And the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(B) = x/z

  z = x/cos(B) = 8/√(2/3) = 8√(3/2) = 4√6 ≈ 9.80

Answer:

It's cubic because volume occupies a three dimensional space. Area is measured in a second unit of length

Step-by-step explanation:

Answer:

Volume is 3 dimensions

Step-by-step explanation:

Cubed is 3 dimensions: length, width, and height - like measuring how much water will fit in a cup. Squared is only 2 dimensions - like when you measure a piece of paper or a floor tile or a piece of fabric.

Answer:

four and negative four

Step-by-step explanation:

7*4 =28 7 *-4 = -28

Answer:

100000 rupees

Step-by-step explanation:

Answer:

11 13 15

Step-by-step explanation:

n + n + 2 + n + 4 = 39

3n + 6 =39

3n = 33

n = 11

the three odd integers are 11 , 13 ,15

Answer:

Those ratios are not equivalent

Step-by-step explanation:

3:4 is not the same as 4:3 because 3:4 means 3 out of 4 but 4:3 means 4 out of 3 which means it is more than one while 3:4 is less than one

Step 1 :

Find the mean of the data :

(2+4+6+8) / 4 = 20/4 = 5

Step 2 :

Find the distance between each data and mean.

Distance between 2 and 5 is 3

Distance between 4 and 5 is 1

Distance between 6 and 5 is 1

Distance between 8 and 5 is 3

Step 3 :

Add all the distances :

3+1+1+3 = 8

Step 4 :

Divide it by the number of data :

8 / 4 = 2

2 is the average absolute deviation.

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