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

Answers

Answer 1

Answer:

2x + 1 = x + 5

x = 5-1

x = 4

Step-by-step explanation:


Related Questions

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7. Mr. Miller is tiling his shower floor. The blueprint of the shower
floor shown uses a scale of 1 inch 3 feet. If the tile costs
$5.99 per square foot, how much will it cost to tile the
bathroom? Round to the nearest cent if necessary. The bathrooms height is 1.25 inches in the blueprint. The bathrooms width is 1.5 inches in the blueprint

Answers

Answer:

$. 101.08

Step-by-step explanation:

[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.

How to calculate area of the shower floor?

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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PLEASE EXPLAIN

Why is the unit in volume measured with units cubed instead of units squared?

Answers

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.

Find the area of the parallelograms below. 21m 33m 21m​

Answers

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.

  A = bh = (21 m)(33 m) = 693 m²

__

b.

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

A sailboat leaves St. Thomas bound for an island in the British West Indies, 200 miles away. Maintaining a constant speed of 18 miles per hour, but encountering heavy crosswinds and strong currents, the crew finds after 4 hours that the sailboat is off course by 15°.
(a) How far is the sailboat from the island at this time?
(b) Through what angle should the sailboat turn to correct its course?
(c) How much time has been added to the trip because of this? (Assume that the speed remains at 18 miles per hour.)

Answers

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

How to calculate the distance?

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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You are building a tabletop. You will use the plan shown, except that you will make all dimensions 2 1/2 time as large. What will be the area of your tabletop?

Answers

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

A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?

Answers

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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a) Solve for x.
b) Then determine the angle measurement.

Answers

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).

___________________cm

Answers

Answer:

10 cm

Step-by-step explanation:

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

What is the volume of this right prism?

1200 in³

1800 in³

2040 in³

3600 in³
Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.



brainleiest whoever answers

Answers

Answer:

1800 in^3

Step-by-step explanation:

What is the exact value of tan(67.5°)?

StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartStartRoot StartFraction 2 minus StartRoot 2 EndRoot Over 2 + StartRoot 2 EndRoot EndFraction EndEndRoot
StartStartRoot StartFraction 2 + StartRoot 2 EndRoot Over 2 minus StartRoot 2 EndRoot EndFraction EndEndRoot

Answers

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

Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angle B, and a hypotenuse of length z opposite the right angle. If [tex]sinB=1/sqrt(3)[/tex] and x=8, find the length of the other side (y) and the length of the hypotenuse (z).

Answers

Answer:

y = 4√2 ≈ 5.66z = 4√6 ≈ 9.80

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

Janice wins the lottery and takes a lump sum payment. She receives $14,298,120. She places
$10,000,000 into a money market account receiving 10% annual interest compounded monthly,
how much will be in the account after 1 year?

Answers

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.

What is the compound interest?

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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1. Shaw High School is having a fundraising event. Products of equal value totaling $480 are sold to an audience of an unknown number of people. The entrance fee is $10.00 per person.
a. What equation gives the total cost per person y as a function of the number of people x, if everyone bought the same amount?
b. How many people must show up in order for the total cost per person to be $16?

HELP MEEEEEEEEEEEEEEEE

Answers

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

   

The sum of three consecutive odd integers is 39. Find the three integers.

Answers

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

Choose the correct graph of the function y=√x+1.

Answers

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]

y intercept=(0,1)

Option A

Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f (x) = x^4 + 4x^3 - 10 [-2, 2] [-4, 0] [-2, 1] Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The absolute maximum, which occurs twice, is at x = and x =. (Use ascending order.) The absolute maximum is at x =. There is no absolute maximum.

Answers

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

What is the MAD of this data ? Round to the nearest hundredth. 7, 14, 15, 9, 11, 14, 11, 10, 17​

Answers

2.67

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.

So hence, your answer is 2.67

"The beautiful thing about learning is that no one can take it away from YOU"

B.B.King

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

For x=2

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

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

[tex]y = 24[/tex]

For x=1

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

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

[tex]y = 14[/tex]

For x=0

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

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

[tex]y = 4[/tex]

For x=-1

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

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

[tex]y = - 6[/tex]

For x=2

[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:

Rectangle A'B'C'D' is the image of rectangle ABCD after it has been translated according to the rule T–4, 3(x, y).

On a coordinate plane, a rectangles has points A prime (negative 5, 4), B prime (3, 4), C prime (3, 1), and D prime (negative 5, 1).
Which points are vertices of the pre-image, rectangle ABCD? Select four options.

(–1, –2)
(7, 1)
(–1, 7)
(–1, 1)
(7, –2)

Answers

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

The radius of the half dollar in centimeters is shown.
Which of the following is closest to the area of the face of the
half dollar?
A. 12 cm2
B. 15 cm2
C. 28 cm2
D. 735 cm2

Answers

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

Are the ratios 3:4 and 4:3 equivalent??

Answers

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

A point located at (-3, 2) is translated down 4 units. What are the coordinates of the image?

(-3, -2)
(1, 2)
(-3, 6)
(-7, 2)

Answers

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

What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.

Answers

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.

What is the area of a parallelogram?

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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A wire 26 cm long is cut into two pieces. The longer pieces is 2 cm longer the the shorter peice.
Find the length of the shorter peice of wire _________ cm

Answers

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

You want to know the average height of your three closest friends.
Should you survey the population or a sample?

Answers

Answer:

population

Step-by-step explanation:

Seven times a number is between – 28 and 28.​

Answers

Answer:

four and negative four

Step-by-step explanation:

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

If an article is sold for rs 99000 after discount of 10% on marked price and adding 10% of Value added tax VAT find marked price​

Answers

Answer:

100000 rupees

Step-by-step explanation:

x × 0.90 × 1.10 = 99000x = 100000

Please help asap! :)

Answers

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

If the number of equally likely sample outcomes of a single experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages?

Answers

12 because that’s the answer and yea

A rectangular parking lot has a length that is 9 yards greater than the width. The area of the parking lot is 360 square yards. Find the length and the width.

Answers

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

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