find x:
[tex] {9}^{2x + 1 = {81}^{3x + 1} [/tex]


Answers

Answer 1

Answer:

[tex] x = - \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]{9}^{2x + 1} = {81}^{3x + 1} \\ \\{3}^{2(2x + 1)} = {3}^{4(3x + 1)} \\ \\ {3}^{4x + 2} = {3}^{12x + 4} \\ bases \: are \: equal \: so \: exponents \: \\ will \: also \: be \: equal\\ \\ 4x + 2 = 12x + 4 \\ \\ 2 - 4 = 12x - 4x \\ \\ - 2 = 8x \\ \\ x = - \frac{2}{8}\\ \\ x = - \frac{1}{4} [/tex]


Related Questions

True or False? The midpoint of a segment
is the point at which the perpendicular
Bisector intersects a segment.

Answers

Answer:

false

hope it helps

the line that bisect the segment is not always perpendicular

Answer:

True ig

Step-by-step explanation:

The name given to the point at which the perpendicular bisector interesects a segment is called the  '  midpoint of a segment "  

I hope im right!!

A sport store pays its wholesaler $40 for a baseball bat, and then sells it to a customer for $76. What is the markup rate?​

Answers

Answer:

Markup 90%

Step-by-step explanation:

If $40 is  100% of the price

  then

$76 is  ..........x

Cross multiplication

40(x)  =  76(100)

40x  = 7600

Divide by 100

x = 190

190%  = 100% + 90%

That  means that the price  is the whole price(100%) plus 90%

so the markup is 90%

  ANOTHER WAY:

The difference in prices is $76-$40=$36. So, we need to find what percentage of 40 is 36.

We do this by dividing: 36/40=0.9, which is 90%. So, the markup is 90%.

d)
The size is 22.6 degrees, but how did they get it? ​

Answers

Answer:

Step-by-step explanation:

a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°

By applying Pythagoras theorem in ΔBCD,

BD² = BC² + CD²

BD² = (10)² + (24)²

BD = √676

BD = 26 cm

B). Surface area of the wedge = Sum of all the surfaces of the wedge

Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(10)(24)[/tex]

                                             = 120 cm²

Area of CDEF = Length × Width

                       = ED × CD

                       = 26 × 24

                       = 624 cm²

Area of BCFA = 10 × 26 = 260 cm²

Area of ABDE = ED × BD

                       = 26 × 26

                       = 676 cm²

Total surface area of the wedge = 2(120) + 624 + 260 + 676

                                                     = 1800 cm²

C). Volume of the triangular prism = Area of the triangular base × Height

                                                         = (Area of BCD) × DE

                                                         = 120 × 26

                                                         = 3120 cm³

d). By applying sine rule in the right triangle BCD,

sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{BC}{BD}[/tex]

m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]

               = 22.6°

please help me, if you're correct i'll mark brainliest :)))))

Answers

Answer:

Answer below

Step-by-step explanation:

right

acute

i believe this is correct :)

Tonya drives for 5 hours at 55 mph. How far does she go?

Answers

I believe it’s 275 because you would multiply 5 by 55

4 - 3 2/10g = 9 1/2
solve for the variable.

Answers

Answer:

you add then add again

Step-by-step explanation:

culture

14) The words/phrases of at most, no more
than, no greater than, and maximum all
represent which inequality symbol?
A) greater than or equal to
B) less than
C) greater than
D) less than or equal to

Answers

Answer:

D

Step-by-step explanation:

what is the ratios to 25:90

Answers

Answer:

5/18

Step-by-step explanation:

25 / 90 =5*5 / 5*18 =5/18

What is the answer to 10w + 3 and 3?

Answers

Answer:

Im gonna have to say 10w + 9x?

Step-by-step explanation:

I hope this can help :,)

Answer: 30w + 9

Step-by-step explanation:

10w + 3 * 3 can be written as

3 (10w +3) and u have to distribute 3 to 10 w and the other 3

= 3*10w + 3*3

= 30w + 9

2. Write the numbers as follows:a. 914,532,000in scientific notation.

Answers

Answer:

9.14532 x 10^8

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

giving brainliest
Find the area of the composite figure below.

Answers

810 because multiplying it all adds up to 810

3) Using J =
22
22
7
the circumference of the following circle is:
49 cm
А
110 cm
B
132 cm
C
154 cm
D
176 cm


Answers

Answer:

Diameter = 49

radius = 49/2

circumference of circle is = 2π r

=. 2*22/7*49/2

= 154 cm

hope it helps

Easy Math question that I dont get. pleaseeee help.
It is due in 5 minutes

Answers

Answer:

First, Third, Fourth, Fifth

Step-by-step explanation:

x² + 2x - 24 = (x + 6)(x - 4) = x² - 4x + 6x - 24 = x² + 2x - 24

True.

x² - 8x + 15 = (x + 5)(x +3) = x² + 3x + 5x + 15 = x² + 8x + 15

False.

3x² + 4x + 1 = (3x + 1)(x + 1) = 3x² + 3x + x + 1 = 3x² + 4x + 1

True.

5x² - 2x - 3 = (5x + 3)(x - 1) = 5x² - 5x + 3x - 3 = 5x² - 2x - 3

True.

4x² - 49 = (2x - 7)(2x + 7) = 4x² + 14x - 14x - 49 = 4x² - 49

True.

First, Third, Fourth, Fifth

President Jackson favored state banks over the Second Bank of the United States because he
believed
A.
the Constitution called for a series of state banks.
B.
state banks should issue a uniform national currency.
C.
the Bank could not control the nation's loans.
D.
the Bank had too much power over the nation's economy.

Answers

I believe it’s D! Good luck!

33°
114"
33
A) right scalene
B) acute scalene
C) obtuse isosceles
D) equilateral

Answers

Answer:

b acute I think so ok but that was a weird quistoin

What is the smaller zero of y = x2 - 6x + 8?

Answers

= 7x - 8 this is it the answer

find the solution for 6x+3y=3 3x-y=4​

Answers

I think the answer is 7x

HELP ASAP 61/35 as a mixed number

Answers

Answer:

1 26/35

Step-by-step explanation:

61/35 =

1 26/35

Hope that helps!

Answer:

1 26/35

Step-by-step explanation:

So there is 1 whole number and 26/ 35

i don't know if that helps but thats helps but that's the answer  

What is the next term of the geometric sequence?
81 27
255
9.

Answers

F(0) = 243
F(n+1) = f(n) /3

Angela spent $48.00 on a sweatshirt, a hoagie, and 2 books. The sweatshirt cost $18.95, and the hoagie cost $7.25. The books cost the same amount. How much did each book cost? not addition

Answers

$90 because u have to multiply

Can you guys help me

Answers

Answer:

The area of triangle VZX is 210 cm^2

Step-by-step explanation:

Here, we want to get the measure of the area of triangle VZX

From the given diagram, we have two explicit triangles making up triangle VWX

These are triangles VWZ and VZX

By adding the areas of both triangles, we can get the area of VWX

Mathematically, the area of VZX is the difference between the area of VWX and VZW

To get the area of VZW, we can use the formula for the area of a triangle

We have this as 1/2 * base * height

base = 35 cm and height = 28 cm

The area of VWZ is 1/2 * 35 * 28 = 490 cm^2

The area of triangle VZX is thus;

700 cm^2 - 490 cm^2 = 210 cm^2

Cecilia is saving money to buy a bicycle. She started with $75 and saves $10 each week from her allowance. Which equation represents how much money, y, Cecilia has at the end of x weeks? O A. y = 75x + 10 o B. y = 10x + 75 O C. x = 75y + 10 O D. X = 10y + 75​

Answers

Answer:

y = 10x + 75 If not then

X = 10y + 75

please help first image pleaseeeeee............................................

Answers

I think the answer is 2 for the math , not sure mark brainliest pls

Answer:

1:2

Step-by-step explanation:

Susan has 50% more books than Michael. Michael has 40 books. If Michael buys 8 more books, will Susan have more or less books than Michael? Use any method to solve the problem

Answers

Answer:

Susan has more books than Michael.

Step-by-step explanation:

If Susan has 50% more books and Michael has 40 books, that means Susan has 1.5 times 40 = 60

40 + 8 = 48

60 is more than 48, so Susan has more books than Michael

Find the Volume of the Pyramid. Show your work.

Answers

Answer:

I think it's 62. volume is basically just adding the length, width, and height

19. Macy bought new tires for her car. She chose tires that cost $73 each. However, the tire store was offering a Buy 3Get 1 Free Sale. After this special sale, she had to pay % sales tax . What was , Macy's final cost for all 4 tires?

Answers

Answer:

$219 without tax

Step-by-step explanation:

im not sure how to calculate tax

hope this helps :)

Plz help Elijah wants to know how much wrapping paper is needed to cover a box with the dimensions shown.


What is the surface area of the box?



A.

92 square inches


B.

46 square inches


C.

160 square inches


D.

184 square inches

SUBMIT

arrow_backPREVIOUS

Answers

Answer:

184 square inches

Step-by-step explanation:

what is the slope of (1,3) and (1,0)​

Answers

Answer:

-3

Step-by-step explanation:

you can tell that the awnser is negative because the coordinates of Y go down from 3 to 0.

What is the solution to the system graphed below? How do you know?

Answers

Answer:

(1,7)

Step-by-step explanation:

It is where the line intersects. coordinates x axis 1, coordinates y axis 7.

2. In Ella's math class, there are 12 girls and 15 boys. Which of the following is the ratio of boys to girls in Ella's math class?
A 12/27
B 12/15
C15/12
D27/12​

Answers

Answer:

C. 15/12

Step-by-step explanation:

15 boys and 12 girls

Answer:

b

Step-by-step explanation:

12/15

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