6^2x+2.6^3x=1 solve x=

Answer:

1.796 d

Step-by-step explanation:

The approximate value of Log subscript 6 baseline 25 (Log₆ 25) is 1.796

Let Log₆ 25 be x

Log₆ 25 = x

25 = 6ˣ

Take the log of both side

Log 25 = Log 6ˣ

Log 25 = xLog 6

Divide both side by Log 6

x = Log 25 / Log 6

x = 1.796

Thus,

Log₆ 25 = x

Log₆ 25 = 1.796

Learn more about logarithm:

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Answer:

the last one

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think so,it is D

hope it helps

have a nice day

Answers on edg. are:

log2 8

log3 27

log10 1,000

Step-by-step explanation:

Yo just trust me ight

Answer:

336 in²

Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)H

Where,

b = 6 in

h = 8 in

s1 = 10 in

s2 = 6 in

s3 = 8 in

H = 12 in

Surface area of triangular prism = 6*8 + (10 + 6 + 8)12

= 48 + (24)12

= 336 in²

9514 1404 393

Answer:

Step-by-step explanation:

The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.

  $79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year

  = $532.97

The interest amount in the first payment is $532.97.

__

The amount of the first payment that goes to principal is what is left after the interest is paid:

  $587.20 -532.97 = $54.23 . . . amount to principal

__

The new balance is the previous balance less the amount to principal:

  $79,946.13 -54.23 = $79,891.90 . . . new balance

Answer:

x = 1

Step-by-step explanation:

523 x = 523                                                                                                                Divide each term in  523 x = 523  by  523 . 523 x 523 = 523  523

Cancel the common factor of  523 .

Tap for more steps... x = 523  523

Divide   523   by  523 . x = 1                                                                                               May I please have a Brainliest please rate this too and like!  

Answer:

T₂ = 1.2 s

Step-by-step explanation:

The time period of a simple pendulum is given by :

[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]

Where

L is length of the pendulum

g is acceleration due to gravity

We have,

T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?

[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s[/tex]

So, the new time period is equal to 1.2 seconds.

Answer:

c

Step-by-step explanation:

c is the only one containing the number three, which is shown on the graph.

The number of the same coin that she has will be 6.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number for each denomination.

If there are any pennies, nickels, dimes, or quarters on Janice. Trial and error led me to the following conclusions:

1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41

2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82

3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23

4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64

5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05

6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Let x be the number of coins. Then we can set up the equation will be

0.01x + 0.05x + 0.10x + 0.25x = 2.46

0.41x = 2.46

x = 6

The number of the same coin that she has will be 6.

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Answer: 166 degrees

Step-by-step explanation:

An octagon has 1080 degrees in it. So just subtract all of the angles out of 1080.

1080-104-126-163-130-131-107-153= 166

ANSWER: 166 degrees

Answer:

166 degrees

Step-by-step explanation:

in an octagon, there are a total of 1080 degrees,

so we take all of the degrees we do know, and subtract them from 1,080 degrees! --- (1080-104-126-163-130-131-107-153= 166)

we end up with 166 degrees! :)

hope this helped!

Answer:

False, False, True, False

Step-by-step explanation:

1. False. D and F are not parallel as they are intersecting in the diagram.

2. False. Angles 1 and 3 are not corresponding. They are opposite. A pair of corresponding angles would be angles 1 and 5.

3. True. A transversal line is a line that passes through two other lines.

4. False. Angle 6 = 63˚ through corresponding angles. Angle 6 + Angle 7 = 180. 63 + Angle 7 = 180. Angle 7 = 117˚.

i hope this helped :)

Answer:

not clear

Step-by-step explanation:

what is the height and base? need an image

Answer:

1

-

10

0.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

Answer:

x = -7

Step-by-step explanation:

-2x + 1 = -x + 8

* isolate the variable using inverse operations *

step 1 add 2x to each side

-2x + 2x cancels out

-x +2x = x

now we have 1 = x + 8

step 2 subtract 8 from each side

8 - 8 cancels out

1 - 8 = -7

we're left with x = - 7

Answer:

2.20832105263

i think it is

Answer:

6.774086

Step-by-step explanation:

Answer:

[tex]\alpha + \beta = -\frac{b}{a}[/tex]

[tex]\alpha \beta = \frac{c}{a}[/tex]

Step-by-step explanation:

Given

[tex]ax^2 + bx + c = 0[/tex]

[tex]Roots: \alpha \& \beta[/tex]

Required

Show that:

[tex]\alpha + \beta = -\frac{b}{a}[/tex]

[tex]\alpha \beta = \frac{c}{a}[/tex]

[tex]ax^2 + bx + c = 0[/tex]

Divide through by a

[tex]\frac{a}{a}x^2 + \frac{b}{a}x + \frac{c}{a} = \frac{0}{a}[/tex]

[tex]x^2 + \frac{b}{a}x + \frac{c}{a} = 0[/tex]

The general form of a quadratic equation is:

[tex]x^2 - (Sum)x + (Product) = 0[/tex]

By comparison, we have:

[tex]-(Sum)x = \frac{b}{a}x[/tex]

[tex]-(Sum) = \frac{b}{a}[/tex]

Sum is calculated as:

[tex]Sum = \alpha + \beta[/tex]

So, we have:

[tex]-(\alpha + \beta) = \frac{b}{a}[/tex]

Divide both sides by -1

[tex]\alpha + \beta = -\frac{b}{a}[/tex]

Similarly;

[tex]Product = \frac{c}{a}[/tex]

Product is calculated as:

[tex]Product = \alpha * \beta[/tex]

So, we have:

[tex]\alpha * \beta = \frac{c}{a}[/tex]

[tex]\alpha \beta = \frac{c}{a}[/tex]

Answer:

The answer for x is 18

Step-by-step explanation:

You may realize that we have not yet discussed the distance around a very important geometric shape: a circle! The distance around a circle has a special name called the circumference. To find the circumference of a circle, we use this formula: C = 2πr

In this formula, π is pronounced “pi,” and is defined as the circumference of a circle divided by its diameter:  

π

=

C

d

. We usually replace π with the approximation 3.14. The letter r represents the radius of the circle.

Let’s see where the formula for circumference comes from. Figure 4 shows a generic circle with radius r.

Answer:

Step-by-step explanation:

An expression is a sort of equation but without any number after the equal to sign

so 2x-7 would be an expression but 3x would not be a expression

3x is just a term

2+7 would also not be an expression because this can be simplified into 9 which is not a expression

2x-7=14 is not a expression cuz it has the equal to sign

-14 is not a expression because its a single number

Answer:C

Step-by-step explanation: goobaldy gock

Answer:

the answer is B not C you're welcome

Answer: E

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

the equation for parrlelograms is base times hieght. the base is about 3 and the hieght is 4 and 1/3 (ish) so 3*4.3 would give the answer of 13 square units. I hope this helps?

Answer:

A = 36.8°

B = 23.2°

a = 7.6

Step-by-step explanation:

Given:

C = 120°

b = 5

c = 11

Required:

Find A, B, and a.

Solution:

✔️To find B, apply the Law of Sines

[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]

Plug in the values

[tex] \frac{sin(B)}{5} = \frac{sin(120)}{11} [/tex]

Cross multiply

Sin(B)*11 = sin(120)*5

Divide both sides by 11

[tex] sin(B) = \frac{sin(120)*5}{11} [/tex]

[tex] sin(B) = \frac{sin(120)*5}{11} [/tex]

Sin(B) = 0.3936

B = [tex] sin^{-1}(0.3936) [/tex]

B = 23.1786882° ≈ 23.2° (nearest tenth)

✔️Find A:

A = 180° - (B + C) (sum of triangle)

A = 180° - (23.2° + 120°)

A = 36.8°

✔️To find a, apply the Law of sines:

[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{sin(36.8)}{a} = \frac{sin(23.2)}{5} [/tex]

Cross multiply

a*sin(23.2) = 5*sin(36.8)

Divide both sides by sin(23.2)

[tex] a = \frac{5*sin(36.8)}{sin(23.2) [/tex]

a = 7.60294329 ≈ 7.6 (nearest tenth)

Answer:

7.5

Step-by-step explanation:

Answer:

300 : 180 = 5 : 3

Find where the two curves intersect:

y = 6x - 2x ²

y = x ²

6x - 2x ² = x ²   →   3x ² - 6x = 3x (x - 2) = 0   →   x = 0 and x = 2

Now, for a shell of radius x units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ x ≤ 2, we have 6x - x ² ≥ x ², so the height of any given shell is (6x - x ²) - x ² = 6x - 2x ².

Then volume of the solid is

[tex]\displaystyle 2\pi \int_0^2 x(6x-2x^2)\,\mathrm dx = 2\pi \left(2x^3-\frac{x^4}2\right)\bigg|_0^2 = \boxed{16\pi}[/tex]

9514 1404 393

Answer:

  (a)  c = 4

  (b)  c < 4

  (c)  c > 4

Step-by-step explanation:

(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:

  3x^2 -5x = 2x^2 -x -c

  x^2 -4x +c = 0 . . . . . . . subtract the right side expression

The discriminant is

  d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.

The system will have exactly one solution when d = 0.

  16 -4c = 0

  4 -c = 0

__

(b) There will be more than one real solution when d > 0

  4 -c > 0

  c < 4 . . . . two real solutions

__

(c) There will be no real solutions when d < 0.

  4 -c < 0

  c > 4 . . . . no real solutions

_____

Additional comment

The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.

Answer: c is the answer

C: 0.560

Step-by-step explanation:

Answer:

Part A: To find the volume of a cylinder, we need the dimensions of the cylinder such as the radius of the base of the cylinder and the height of the cylinder.

Part B: We have given the base of the refraction cup as a half-circle, we can calculate the radius of the base.

The diameter is given as 8 cm so, the radius would be half of the diameter.

r = 4cm

Part C:  If you put two refraction cups together, we get the full three-dimensional shape that is a circle.

Part D: The formula for the volume of a cylinder is V=pi r^2 h.

Part E: The volume of a refraction cup =

= 4/3 (3.14)(8)

= 33.49

Part F: The relationship between the value D and the value from Part D is as follows

The volume of a cylinder = 3 times the volume of a refraction cup

Step-by-step explanation:

Answer:

2c^3

Step-by-step explanation:

The greatest common divisor of 6 and 10 are 2

The factors that are common to 6c^3, 10c^4 would be 2ccc

Simplify that and you have 2c^3

Answer:

Option D

S=8/1-.2

Step-by-step explanation:

Edg

The sum of the sequence will be S = 8 / (1 – 0.2). Then the correct option is D.

Let a be the first term and r be the common ratio. Then the sum of the geometric series will be

S = a / (1 – r) if r < 1

S = a / (r – 1) if r > 1

The sum of [tex]\rm \Sigma_{n = 1}^{\infty} 8(0.2)^{n - 1}[/tex].

Then the first term of the geometric sequence will be 8.

And the common difference between the successive terms will be 0.2.

The common ratio less than one, then the formula for the sum will be given as

S = a / (1 – r) if r < 1

Then the sum of the sequence till infinity will be

S = 8 / (1 – 0.2)

S = 8 / 0.8

S = 10

Thus, the sum of the sequence will be S = 8 / (1 – 0.2).

Then the correct option is D.

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