Step by step solution please

Answer:

Step-by-step explanation:

It's given in the question,

[tex]2^x=3^y=12^z[/tex]

[tex]2^x=12^z[/tex]

[tex]\text{log}2^x}=\text{log}12^z}[/tex]

[tex]x\text{log2}=z\text{log12}[/tex]

[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]

[tex]3^y=12^z[/tex]

[tex]\text{log}3^y}=\text{log}12^z}[/tex]

[tex]y\text{log}3}=z\text{log}12}[/tex]

[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]

Now substitute the values in the equation,

[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]

         [tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]                    

         [tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]

         [tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]

         [tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]

         [tex]=\frac{1}{z}[/tex]

Hence proved.

Answer:

1. 2 7/15

2. 4 2/15

Step-by-step explanation:

I just made up mixed numbers that have a denominator of 15. I hope this helps you!

Answer:

$0.05/year

Step-by-step explanation:

Number of years:

2006 - 2004 = 2

From 2004 to 2006 it's 2 years.

Difference in prices:

$1.35 - $1.25 = $0.10

Average change of price per year:

$0.10 / 2 years = $0.05/year

Answer:

hhhahah

Step-by-step explanation:

eeee

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

(g•h)(x) = 2(x²+4)

(g•h)(3)=2(3²+4)

=2(9+4)

=2(13)

=26

Answer:

A= 75°

Step-by-step explanation:

SinA = opposite÷hypoteneous

A = Sin^-1(32÷33). (inverse sin = sin^-1)

A = 75.85

A= 75°

Note: To calculate we use scientific calculater.

Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.

We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.

The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):

sin(A) = BC / AC

Substituting the given values, we have:

sin(A) = 32 / 33

Using the inverse sine function (sin⁻¹), we can find the value of angle A:

A = sin⁻¹(32 / 33)

Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.

Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

To learn more about angle click on,

brainly.com/question/15485838

#SPJ2

Answer:

I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729

Step-by-step explanation:

each number is being multiplied by a factor of (-3).

Answer:

0

Step-by-step explanation:

r=5

So

=5⁴-5(5)³-4(5)²+5(5)+75

=5⁴-5(125)-4(25)+5(5)+75

=625-625-100+25+75

=0

Answer:

x=5.9

Step-by-step explanation:

tan(26)=x/12. x=12*tan(26)=5.9

Answer:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Step-by-step explanation:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Answer:

-5x = 26 is 5.2

x/2 = 4 is -8

3/2x=6 is 4

x/-7.2=4 is 28.8

Answer:

[tex]\frac{\sqrt{3}}{6} a^{3}[/tex] và [tex]\frac{a^{3} }{6}[/tex]

Step-by-step explanation:

Câu 1: V = 1/3.2a.[tex]\frac{\sqrt{3}}{4}[/tex][tex]a^{2}[/tex] = [tex]\frac{\sqrt{3}}{6} a^{3}[/tex]

câu 2: Theo đề bài ta có SA là chiều cao và tam giác đáy SBC vuông tại S (hình chóp S.ABC đổi thành chóp A.SBC)

=> V = 1/3 SA.(diện tích tam giác SBC) = 1/3a.[tex]\frac{a^{2} }{2}[/tex] = [tex]\frac{a^{3} }{6}[/tex]

Exponential

The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.

His bank balance would follow the compound interest equation which is exponential.

= 400 × 1.08^t

where t is the number of years since the deposit

Answer:

73

Step-by-step explanation:

17×2=34

180-34=146

146/2=73

=73

Answer:

25%

Step-by-step explanation:

1 dozen = 12

3 out of 12

3/12

Simplify

1/4

Multiply top and bottom by 25 to get a denominator of 100

25/100

25%

Answer:

bạn cực ngu

Step-by-step explanation:

bạn cực kì ngu

Answer:

100,000 m²

Step-by-step explanation:

the area = l x w = 1000 x 100 = 100,000 m²

Answer:

Step-by-step explanation:

english only please

Answer:

[tex]BW \approx 132.589[/tex]

Step-by-step explanation:

The given triangle (BWS) is a right triangle. This is indicated by the box around one of its angles, signifying that it is a right angle. One property of a right triangle is the right angle trigonometric ratios. These are a set of ratios that can be used to describe the relationship between the sides and angles in a triangle. These ratios are as follows:

[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the (opposite) and (adjacent) sides are subjective, the sides that are named these terms depend on the angle of reference. However the term (hypotenuse) refers to the sides opposite the right angle of a right triangle, this term is the same no matter the angle used in the ratio.

In this case, one is given the length of the side (SB) and the measure of angle (<W), one is asked to find the length of the side (BW). The best ratio to use in this case is the ratio tangent (tan).

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(9)=\frac{21}{adjacent}[/tex]

Inverse operations,

[tex]tan(9)=\frac{21}{adjacent}[/tex]

[tex]adjacent=\frac{21}{(tan(9))}[/tex]

[tex]adjacent\approx132.688782[/tex]

[tex]BW \approx 132.589[/tex]

Answer:

D and B

Step-by-step explanation:

2) (59.6)/180 * pi=1.04

Answer:

[tex]V=90[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the cone

[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]

Plug in the values

[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]

Simplify and Solve

[tex]V = \frac{\pi *9*10}{3}[/tex]

[tex]V = \frac{90\pi }{3}[/tex]

[tex]V = \frac{90*3 }{3}[/tex]

[tex]V=90[/tex]

Answer:  [tex]V=90[/tex]

Answer:

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jwjvy

Answer:

g(x) = 1/2 |x|

Step-by-step explanation:

Scaling f(x) means it's of the form g(x) = a|x|

From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:

1 = a|2|

a = 1/2

Therefore, g(x) = 1/2 |x|

Answer:

divide, 2x+9

Step-by-step explanation:

got it right

Answer: 17/60

Step-by-step explanation:

Change all of the fractions to have a common denominator:

LCM of 10, 12, 15 is 60

You get 12/60, 25/60, and 54/60.

54/60 is what he had at the start, and so you can just subtract what he gave away

54/60-12/60=42/60

42/60-25/60=17/60

17 is a prime number so you cannot simplify the fraction

Answer:

17/60

Step-by-step explanation:

First we find the LCM of 10, 12, and 5, which is 60.

He started with 54/60.

He gave away 12/60, leaving 42/60.

He gave away another 25/60, leaving 17/60.

He had 17/60 of a pizza left over.

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

Answer:

Step-by-step explanation:

Equation of a parabola with vertex (h, k) is given by,

y - k = a(x - h)²

Equation of a function 'f' with vertex (0, 3) will be,

y - 3 = a(x - 0)²

y - 3 = ax²

Since, graph of this function passes through (1, 4),

4 - 3 = a(1)²

a = 1

Therefore, equation will be,

y - 3 = (x - 0)²

f(x) = x² + 3

Equation of function 'g' with vertex at (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax² - 3

Since, the graph passes through (1, -1),

-1 = a(1)² - 3

a = 2

Therefore, equation will be,

y = 2x²- 3

g(x) = 2x² - 3

Equation of the function 'j' with the vertex (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax²- 3

Since, the graph of the function passes through (1, -5),

-5 = a(1)² - 3

a = -2

Therefore, function 'j' will be,

j(x) = -2x² - 3

Equation of the function 'h' with the vertex (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax² - 3

Since, the graph of the function passes through (2, 1)

1 + 3 = a(2)²

4 = 4a

a = 1

Therefore, equation of the function 'h' will be,

h(x) = x² - 3

Answer:

14.49 inches......I think this help you.....I am not dam sure this is right or not....