Please answer fast!!!!!
Explain the steps you would use to solve the equation. Find the solution.
8^2x=4096

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

note that 4096 = [tex]8^{4}[/tex] , then

[tex]8^{2x}[/tex] = [tex]8^{4}[/tex]

Since bases on both sides are equal, both 8 , then equate the exponents

2x = 4 ( divide both sides by 2 )

x = 2

Answer 2

Answer:

x = 2

Step-by-step explanation:

[tex]8^{2x} = 4096[/tex]

Step 1 :- Write 4096 in the exponential form with the base of 8.

[tex]8^{2x} = 8^4 [/tex]

Step 2 :- Since the base of both equation is same , set the exponents equal.

2x = 4

Step 3 :- Divide both side by 2

[tex]{2x}{2} = \frac{4 }{2}[/tex]

x = 2


Related Questions

The length of a rectangular field is 6 metres longer than its width. If the area of the field is 72 square metres, What are the width and the length of the field?​

Answers

Answer:

Let's call the length of the field "l", and the width of the field "w".

If the area of the field is 72 square meters, then we have:

l x w = 72

And if the length is 6 meters longer than the width, we have:

l = w+6

So looking at the first equation (l x w = 72), we can substitute the l for a w+6.

And we obtain:

(w+6) x (w) = 72

Which simplifies to w^2 + 6w = 72.

This quadratic equation is pretty easy to solve, you just need to factor it.

w^2 + 6w - 72 = 0

(w-6)(w+12)

This leaves the roots of the  quadratic equation to be 6 and -12, but in this case, a width of -12 wouldn't make sense.

So, the width of the rectangular field is 6, and the length of the field is 12.

Let me know if this helps!

Answer:

we assume one side is x and other side must be x+6 and when we multiple it together we can find x²+6x =72

Step-by-step explanation:

one side is 6 and. other is 12 so the lenght= 12 the width=6

32 x square Y - 2 y cube

Answers

Answer:

207y

Step-by-step explanation:

Answer the question

Answers

Answer:

1,041,958.5, or 104,195 1/2

Step-by-step explanation:

All you have to do is 15787.25 times 66, because 15787.25 is the price for on acre, so 66 acres will be 15787.25 times 66. If you want to put it in fraction form, you can do 15787 1/4 times 66. I hoped you liked this answer!

Click on the graphic to select the figure that would make the following "a reflection in line k."

Answers

Answer: Choice A (both are smiley faces)

This is because the reflection doesn't flip the faces upside down or anything (instead it does a left-right swap in a way). This is why both faces are smiley faces.

Find the slope of the line that passes through the points (-12,10) and (-18,14).


PLEASE HELP ASAP

Answers

Answer:

-2/3

Step-by-step explanation:

The slope is -2/3 because the slope formula, y2-y1/x2-x1

[tex]\huge\text{Hey there!}[/tex]

[tex]\boxed{\huge\boxed{\mathsf{Formula: m = \dfrac{y_2- y_1}{x_2- x_1}}}}[/tex]

[tex]\boxed{\huge\boxed{\mathsf{m = \dfrac{14 -10}{-18 - (-12)}}}}\\\\\\\huge\textsf{14 - 10 = \bf \boxed{\bf 4}}\\\\\\\huge\textsf{-18 - (-12)}\\\huge\textsf{= -18 + 12}\\\huge\textsf{= \bf -6}\\\\\boxed{\huge\boxed{\mathsf{m = \dfrac{4}{-6}}}}[/tex]

[tex]\boxed{\huge{\boxed{\mathsf{m = \dfrac{4\div2}{-6\div2}}}}}\\\\\huge\boxed{\mathsf{4\div2 = \bf 2}}\\\huge\boxed{\mathsf{-6\div2 = \bf -3}}\\\\\\\boxed{\boxed{\huge\boxed{\mathsf{\star m = \bf \dfrac{2}{-3}\star}}}}[/tex]

[tex]\boxed{\boxed{\huge \boxed{\mathsf{Answer: }\frak{\dfrac{2}{-3}}}}}\huge\checkmark[/tex]

[tex]\huge\boxed{\frak{Good\ luck\ on\ your\ assignment\ \& \ enjoy \your \ day!}}[/tex]

~[tex]\rm{Amphitrite1040:)}[/tex]

Algebraic math question

Answers

Answer:

[tex] 7 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the trapezoidal table

[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]

[tex] = 7 \: {ft}^{2} [/tex]

Answer:

7 ft squared

Step-by-step explanation:

Area of the trapezoidal table

ASAP!!!!!!!!!!
What is the line of symmetry for the graph of y = -3x^2 + 12x - 11?
wrong= reported
ty<3

Answers

Answer:

line of symmetry is : x=2

Step-by-step explanation:

Answer:

Thus, the required line of symmetry is x = 2.

Step-by-step explanation:


[tex] \frac{5}{5 \sqrt{6 + 2 \sqrt{3} } } \times ( \frac{1}{5 \sqrt{3} } + \frac{3 \sqrt{2} }{2 \sqrt{3} } - \frac{2 \sqrt{3} }{3 \sqrt{2} } ) = [/tex] ....................​

Answers

Decimal form = 0.1702

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

(X-p)(x+q) what is the constant term for the trinomial

Answers

Answer:

- pq

Step-by-step explanation:

If we factor (x - p)(x + q)...

x^2 + qx - px - pq

The price of a hamburger is 3 dollars. what is the price of 90 hamburgers?

Answers

Cost of each Hamburger = $3

Cost of 90 Hamburgers = 3×90

= $270

Therefore cost of 90 hamburgers is $270

Must click thanks and mark brainliest

15x + 14 = 149


Plz solve for x

Answers

Answer:

x = 9

Step-by-step explanation:

When doing these types of problems, the main goal is to get the variable by itself. Its kind of hard to explain with words so I will just use numbers.

15x + 14 = 149

(Subtract 14 on both sides. Remember, when you do something (Like subtracting, adding, etc.) on one side you have to do it to the other.)

15x + 14 = 149

       -14 =  -14

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

15x = 135

(Divide 15 on both sides. Since we need to use inverse operation to cancel the 15 out, we would divide 15 on both sides.)

15x/15 = 135/15

x = 9

Hope this helps :)

Answer:

x=9

Step-by-step explanation:

[tex]\sf 15x + 14 = 149[/tex]

[tex]\sf 15x+14-14=149-14[/tex]

[tex]\sf 15x=135[/tex]

[tex]\sf \cfrac{15x}{15}=\cfrac{135}{15}[/tex]

[tex]\sf x=9[/tex]

Can someone answer this pls

Answers

Answer:

maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute

Step-by-step explanation:

maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

Sishsisbsushansjnsnsisjsbabajsuhsbshia

A triangle can have at most___ right angle
О
2
4
1

Answers

a right angle can have at least 2

below are properties of a square which one is not a all sides are equal b all angles are right angles C has five interior angles d diagonals are equal​

Answers

Answer:

has five interior angles

a square is a quadrant meaning it has four interior angles

The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y

(b)
That value of y when x=5

(c)
The value of x when y=12

Please help me answer my hw, thank you!

Answers

Answer:

A) 3

B)60

C)4

Step-by-step explanation:

y = kx

36 = 12k

A)k=3

~~~~~~~~~~

b) 60

12*5

c) 4  

12/3

Can anyone help me with this please and maybe explain it?.. I need working please
I'll mark as brainlist

Q. A factory uses 800 watts of electricity in 40 minutes. How many watts does it uses in 3 hours?​​

Answers

Answer:

it uses 3,600 watts of electricity in 3 hours

Electricity used in 40 minutes = 800 watts

So, electricity used in 1 minute

= 800watts/40

= 20 watts

Electricity used in 3 hours

= electricity used in 180 minutes

= electricity used in 1 minute × 180

= 20 watts × 180

= 3600 watts

8. If a prism is 15cm high with its base a triangle having sides 6cm, 8cm and 10cm. Find its volume. (a) 350cm (b) 30cm (c)460cm3 (d)90cm3

Answers

Answer:

360cm³

Step-by-step explanation:

Volume of a triangular prism = Base area * Height of prism

Height of prism = 15cm

Base area = 1/2 * 6 * 8

Base area = 24cm²

Volume of the prism = 15 * 24

Volume of the prism = 360cm³

Can someone help me with this question? Will give brainliest.

Answers

Answer:

5.2561

step by step explanation:

using BODMAS, multiplication comes before addition.

Therefore,

[tex] \sqrt{1.13 + (2.84 \times 9.33)} [/tex]

[tex] \sqrt{1.13 + 26.4971} [/tex]

[tex] \sqrt{27.6272} [/tex]

Therefore the answer is

5.2561

What is a simplified form of 1 − sin^2 θ?

Answers

Answer:

cos^2(θ)

Step-by-step explanation:

Xochitl went to the store to buy some cherries. The price per pound of the cherries is $4 per pound and she has a coupon for $3.50 off the final amount. With the coupon, how much would Xochitl have to pay to buy 3 pounds of cherries? Also, write an expression for the cost to buy pp pounds of cherries, assuming at least one pound is purchased

Answers

Answer: Xochitl pay 8.5$ for 3 pound of cherries

Explanation:

4$ per pound
3.5$ coupon

If he buy 3 pound he would need to pay 12$ but since he a 3.5$ coupon thus 12 - 3.5 = 8.5$

Can also written as an expression:

4x - 3.5 = x

Where x determine the amount of pound that is bought.


Xochitl needs to pay $8.50 to buy 3 pounds of cherries.

The expression for the cost to buy p pounds of cherries would be

$(4p - 3.50)

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, The price per pound of the cherries is $4 per pound and she has a coupon for $3.50 off the final amount.

Therefore, The cost of 3 pounds of cherries before the discount would be,

= $(3×4).

= $12.

And after the discount, it would be $(12 - 3.50).

= $8.50.

An expression for the cost to buy p pounds of cherries would be,

= $(4p - 3.50)

learn more about equations here :

https://brainly.com/question/29657992

#SPJ2

please help me by answering this?

Answers

Answer:

180

Step-by-step explanation:

[tex]\frac{6}{2} x^{2} | \frac{8}{2}[/tex]

192-12=180

I need help!!! Need it asap!!!!!

Answers

Answer:

Not enough infomation, you need to provide #12

Step-by-step explanation:

Write an equation of the graph (shown below) in slope intercept form.

Answers

This is not a valid question and, therefore, cannot be answered. (Reason: No graph is attached.) Try revising it or giving more information. Hope this helps! ❤️

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Question 3: 220 centimeters

Question 4: 31.4 millimeters

Step-by-step explanation:

Question 3:

Formula for circumference: 2πr

2πr

Exchange π for 22/7

2 · (22/7) · r

Exchange r (radius) for 35

2 · (22/7) · 35

Simplify:

2 · (22/7) · 35

44/7 · 35

220; 220 centimeters

Question 4:

Formula for circumference: 2πr

2πr

Exchange π for 3.14

2 · 3.14 · r

Exchange r (radius) for 5

2 · 3.14 · 5

Simplify:

2 · 3.14 · 5

6.28 · 5

31.4; 31.4 millimeters

Answer:

220 cm31.4 mm

Step-by-step explanation:

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

Solve:

Question # 1

r = 35 cm

π = 22/7

Circumference = 2πr

Circumference = 2 (22/7) (35)

Circumference = 2 (110)

Circumference = 220 cm

Question # 2

r = 5 mm

π = 3.14

Circumference = 2πr

Circumference = 2 (3.14) (5)

Circumference = 10 (3.14)

Circumference = 31.4 mm

Hope this helps!! :)

Please let me know if you have any questions

what is the relation that represents the relation

Answers

Answer:

what can i help u with

Step-by-step explanation:

I really can't help u with that sorry i am bad at math

hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks a lot.

Answers

Area of a square is side^2

Diagonal of a square is sqrt(2) x side

Using this rewrite the area formula as :

1/2 x diagonal^2

Area = 1/2 x 40^2 = 800

Area = 800 m^2

Answer = b) 800m^2

Help pleaseeeee:)))))))

Answers

5 by 3

3rd one

there we have to find hypotenuse.

Answer:

+- 5/3

Step-by-step explanation:

When we construct a right triangle with legs with length 3 and 4. The hypoteneuse must 5. Since tan(x) = opp/adj = 4/3 and sec(x) = hyp/adj,

We get the answer to be 5/3. Now there is a +- there because if we use the unit circle, if we take the point (-3, -4), we get tan(x) = (-4/-3) = 4/3. However, the hypoteneuse for sec(x) is always positive so sec(x) = 5/-3 = -5/3.

That is why there are two solutions, one with the terminal arm in Q3 and one in Q1. But that's the explanation using the unit circle.

Iliana rotated trapezoid WXYZ 180° about the origin.

On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).

What is the correct set of image points for trapezoid W’X’Y’Z’?

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)

Answers

Answer:

The answer is A. W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

Answer:

The answer is A i got A 100 on the test here or the rest of the anwers for the test

Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?

90 degrees clockwise rotation ✔

270 degrees clockwise rotation

180 degrees rotation

90 degrees counterclockwise rotation

Triangle XYZ is rotated 90° clockwise about the origin.

On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).

What are the coordinates of point X’?

(1, 3)  ✔

(3, –1)

(3, 1)      

(–1, –3)

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

     

X’(1, 1), Y’(-4, 3), Z’(1, 5) ✔

X’(1, 1), Y’(–3, –4), Z’(–1, –5)

X’(–1, 1), Y’(–3, –4), Z’(–5, 1)

X’(–1, –1),Y’(4, –3), Z’(–1, –5)

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.  

X(3, –6) maps to X’(–3, 6)

Y(1, –2) maps to Y’(–1, 2)

Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

180 degrees rotation     ✔

270 degrees clockwise rotation

90 degrees counterclockwise rotation      

90 degrees clockwise rotation

A rotation maps point A to A’.

On a coordinate plane, point A prime is (negative 3, 4) and A is (3, negative 4).

Which statement describes the rotation?

270° counterclockwise rotation

90° clockwise rotation

180° rotation ✔

90° counterclockwise rotation  

Rectangle PQRS is rotated 90° counterclockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).

What are the coordinates of point Q’?

Q’( –3, 5) ✔

Q’(3, –5)

Q’(5, –3)

Q’(–5, –3)  

What is the midpoint of segment AB?

Answers

Answer:

(-1, -3.5)

Step-by-step explanation:

Use the midpoint formula by finding the points of A and B.

A = (-5, -4)

B = (3, -3)

Add the x-values of both coordinates to get the following:

[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]

Midpoint = (-1, y)

Now we find the y-value by doing the same as we did to the x-coordinates of A and B.

[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]

Midpoint = (-1, -3.5)

Ayuda plis..
5 (2x+3) - 4x= - 4 +3 (x-4)

Answers

Answer:

x=- 31/3

Step-by-step explanation:

distribute 5(2x+3)-4x=-4+3x(x-4)

10x+15-4x=-4+3(x-4)

combine like terms

distribute

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