Help me please and no links

Answer:

Step-by-step explanation:

I'll just write log for log base 10.  The important rules about logarithms we need to know are:

[tex] a \log b = \log( b^a) [/tex]

[tex] \log a + \log b = \log( ab) [/tex]

and at the end we'll need something like

[tex]\log a = \log b \implies a=b[/tex]

Suitably armed we can begin,

[tex] \left( 1 + \dfrac{1}{2x} \right) \log 3 + \log 2 = \log (27 - 3^{1/x}) [/tex]

First rule,

[tex] \log 3^{ 1 + 1/2x}  + \log 2 = \log (27 - 3^{1/x}) [/tex]

Second rule,

[tex] \log 2(3^{ 1 + 1/2x})  = \log (27 - 3^{1/x}) [/tex]

Third rule,

[tex] 2(3^{ 1 + 1/2x})  = 27 - 3^{1/x} [/tex]

We can rewrite this to be a quadratic equation in [tex]y=3^{1/2x}[/tex].

[tex]  6 (3^{1/2x})  = 27 -  (3^{1/2x})^2 [/tex]

[tex]y^2 +6y - 27 =0[/tex]

[tex](y - 3)(y+9)=0[/tex]

[tex]y=3 \textrm{ or } y=-9[/tex]

First solution:

[tex]3^{1/2x} = 3 = 3^{1}[/tex]

[tex]1/2x = 1[/tex]

[tex]1=2x[/tex]

[tex]x = 1/2[/tex]

Second solution,

[tex]3^{1/2x} = -9[/tex]

No real powers of 3 will be negative, no solution here.

Answer: x=1/2

Check:  

1 + 1/2x = 2 so the left side is log 2(3²) = log 18

Right side, log(27-3^2) = log 18  √

Answer:

third side = 6

Step-by-step explanation:

third side is hypotenuse as it is opposite to 90 degree

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotense)^2

5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2

25 + 11 = hypotenuse^2

36 = hypotenuse^2

[tex]\sqrt{36}[/tex] = hypotenuse

6 = hypotenuse

Answer:

Amount of simple interest in three year = 750

Step-by-step explanation:

Given:

Amount invested = 5,000

Number of year = 3 year

Rate of interest = 5% Annually

Find:

Amount of simple interest in three year

Computation:

Simple interest = (P){R)(T)

Amount of simple interest in three year = (5,000)(3)(5%)

Amount of simple interest in three year = (5,000)(3)(0.05)

Amount of simple interest in three year = (5,000)(0.15)

Amount of simple interest in three year = 750

Answer:

The statement is true.

Step-by-step explanation:

Let the two points are (x', y') and (x'', y'').

The equation of line passing through the two  points is

[tex](y - y')=\frac{y''-y'}{x''-x'}\times (x - x')[/tex]

So, it is true to find the equation of line when the two points is given.  

Answer:

40 L

Step-by-step explanation:

20% empty is the same as 80%full

.8f = .2f + 24

subtract .2f from both sides

.6f = 24

divide both sides by .6

f = 40

Answer:

Pythagoras Theorem: It is a basic relation in Euclidean geometry among the sides of a right-angled triangle. Pythagoras Theorem is commonly used to find the length of an unknown side in a right-angled triangle. It describes the interrelationship between the base, perpendicular and hypotenuse of a right-angled triangle. The converse of Pythagoras Theorem is used to check whether a triangle is a right-angled triangle or not

Step-by-step explanation:

Statement of Pythagoras Theorem

The Pythagoras Theorem states that in a right-angled triangle the sum of square of the base and square of the perpendicular is equal to the square of the hypotenuse.

Pythagorean theorem

In the right angled triangle there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem. this theorem States the square on the hypotenuse of a right angle triangle is equal to the sum of the squares on the remaining two sides.

Answer:

x= -26

Step-by-step explanation:

-14 = x + 12

x = -14-12

x= -26

Answer:

X = -26

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

7cm

Step-by-step explanation:

Volume of a prism = base area x height

base area = area of a square = length²

784  = length² x 16

divide both sides of the equation by 16

length² = 784/16

length² = 49

find the square root of both sides

length = 7

co.op

interest = principle * rate * time in years

8000*0.09*1= 720$

total owed =

principle + interest

8000+720= 8720$

bank

interest = principle * rate * time in years

interest = principle * rate * time in years8000*0.06*1= 480$

principle + interest

8000+480= 8480$

......

6)

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest =

1500(1+0.12)^2

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

she should choose Bank A less total owed

she'll have to pay the bank 2040$

Answer:

A. 7 + 4i

Step-by-step explanation:

Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i

Writing as a complex number, we find the square root of -16 + 49

Hence:

√ -16 + 49 = √-16 + √49

= 4i + 7

Rearranging

= 7 + 4i

Therefore, the correct option is A. 7 + 4i

Answer:

0

Step-by-step explanation:

3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0

Step-by-step explanation:

answer is first option,,,

Step-by-step explanation:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

9514 1404 393

Answer:

  (x +2)^2 +(y -5)^2 = 9

Step-by-step explanation:

The circle shown has a radius of r = 3 and a center at (h, k) = (-2, 5).

The equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

For the given center and radius, the equation is ...

  (x +2)^2 +(y -5)^2 = 9

Answer:

Find the volume of this prism.

Answer:

24% or d

Step-by-step explanation:

Answer:

134.16 yards or 134.2 if you round to the nearest tenth

Step-by-step explanation:

Using the formula a^2+b^2=c^2

120^2+60^2=c^2

18000=c^2

the square root of 18000 is around 134.16.

Answer:

40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28

Step-by-step explanation:

multiple the price by 1.40

hopefully this helped :)

Answer:

$28

Step-by-step explanation:

We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.

40/100 = 0.4.

Next, we multiply 20 by 0.4 to find the extra price:

20 * 0.4 = 8

So, the answer is 20 + 8 = $28

We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

32

Step-by-step explanation:

m-án=16, when n = 8

Answer:

The length of the third side is approximately 193.14 cm

Step-by-step explanation:

The given dimensions of the sides of triangle ΔVWX are;

X = 160 cm

V = 150 cm

The measure of the included angle, m∠W = 77°

By cosine rule, we have;

w² = v² + x² - 2·v·x·cos(W)

∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35

∴ The length of the third side, w = √37,302.35 ≈ 193.14

The length of the third side, w ≈ 193.14 cm

Answer:

njj

Step-by-step explanation:

Answer:

The last digit is 2

Step-by-step explanation:

I just plugged in different digits as the end of 41875 and divided by 18.

Entered in 418750. Got a decimal.

Entered in 418751 and divided by 18. Got a decimal.

Entered in 418752 and divided by 18. Got 23,264.

Entered in 418753 and divided by 18. Got a decimal.

Entered in 418754 and divided by 18, got a decimal.

418755, decimal

418756, decimal

418757, decimal

418758, decimal

418759, decimal

Answer:

3n+3

hope it helps

Answer:

mkana

Step-by-step explanation:

Answer:

brainllest f right

a

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The x-intercept of the graph is -7. (or (-7, 0). )

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope for the line:}}\\\\m = \frac{8-0}{1-(-7)}\\\\m = \frac{8}{8}\\\\\boxed{m = 1}[/tex]

⸻⸻⸻⸻

Option B is a false statement.

⸻⸻⸻⸻

We can tell with the point (-7,0) that the 'x' intercept of the function is -7.

⸻⸻⸻⸻

The line does not pass (7,0), making option C a false statement.

⸻⸻⸻⸻

The line also does not pass (-1, -8), making option D a false statement.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

(-8.6)0

= 0

explanation:

Answer:

15 girls

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]  has 7 per "unit group" 35/7 = 5

so the ratio would be [tex]\frac{20}{15}[/tex]

the question states ratio is [tex]\frac{boys}{girls}[/tex]

thus 20 boys , and 15 girls

The answer to the question is C. 5,20,80,320

Step-by-step explanation:

5*4=20

20*4=80

80*4=320