what is the simplified product of 2/9 x 3/8
A. 6/72. B. 5/17. C. 3/36. D.1/12

To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.

To do this, we assume the following values

\(\mathbf{u = 75}\)

\(\mathbf{v = 45}\)

So, we have:

\(\mathbf{tan(u - v) \ne tan(u) - tan(v)}\)

Substitute the assumed values for u and v

\(\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}\)

Subtract 45 from 75

\(\mathbf{tan(30) \ne tan(75) - tan(45)}\)

Using a calculator, calculate the values of tan(30), tan(45) and tan(75)

So, we have:

\(\mathbf{0.5774 \ne 3.7321 - 1}\)

Subtract 1 from 3.7321

\(\mathbf{0.5774 \ne 2.7321}\)

Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.

Hence, \(\mathbf{tan(u - v) \ne tan(u) - tan(v)}\) is true

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Answer:

Step-by-step explanation: No f(x) is not an inverse of g(x)

All the missing angles of the given image are;

(a) = 145°

(b) = 35°

(c) = 145°

(d) = 35°

(e) = 145°

(f) =35°

The line transversal theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Thus, angle e is a corresponding angle to 145°

Angle f is a corresponding angle to 35°

Similarly, angle b is an opposite angle to 35° while angle c is an opposite angle to 135°

Angle a is opposite to angle e and as such angle a = 145°

Angle d is opposite to angle f and as such angle d = 35°

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The degree measure of angle APC is 68 degrees.

A circle with center P is inscribed in isosceles triangle ABC with apex angle A measuring 34 degrees.

The degree measure of angle APC is 68 degrees.

A circle that is inscribed in a triangle is called an inscribed circle. It touches all sides of the triangle. The center of the inscribed circle is known as the incenter.

According to the problem, the circle's center is P. Since P is the center of the circle, it will be equidistant from all sides of the isosceles triangle ABC, and it will be bisected by its chords AC, AB, and BC.

Let x be the degree of ∠PAC and ∠PBC since the triangle is isosceles.

Thus, ∠PCA and ∠PCB are both 90-x.

To get the degree measure of angle APC, we will apply the angle sum property in triangle APC.

We know that,

∠PAC + ∠PCA + ∠APC = 180°

Substituting values, x + (90-x) + (90 - x) = 180°

Solving for x, 2x = 90Therefore, x = 45.So, ∠APC = 2(x) = 2(45) = 90-46 = 44°

Therefore, the degree measure of angle APC is 68 degrees.

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So, the exponential growth model for the population (p) would be: p = 97.3 * e^(0.019t)

To find the exponential growth model, we can use the formula:

p = p0 * e^(kt)

Where:
p = population at time t
p0 = initial population
k = continuous annual rate of change
t = time elapsed

In this case, the initial population (p0) is 97.3 million and the continuous annual rate of change (k) is 0.019.

So, the exponential growth model for the population (p) would be:

p = 97.3 * e^(0.019t)

Please note that e is Euler's number, a mathematical constant approximately equal to 2.71828.

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Answer:

10x12

.................

Answer:

10 times 12

Step-by-step explanation:

Answer:

a=34 °

b=76°

c=70°

d=70°

Step-by-step explanation:

The angles 76° , 34°, and c make up a triangle. A triangle has a sum of 180°.

180° = 76° + 34° +c

c=70°

The parallel lines create 2 congruent triangles so we can use the same angles from the first triangle for the second one.

Answer:

the answer is 1.713 x 106

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

trust me it's 2 but I'm not for sure

Al-Khwarizmi made significant contributions to the world of mathematics, particularly in the field of algebra. His major accomplishment was the development of algebra as an independent mathematical discipline.

Al-Khwarizmi, a Persian mathematician and scholar, wrote the book titled "Kitab al-Jabr wal-Muqabala," which laid the foundation for modern algebra. In this influential work, he introduced systematic methods for solving linear and quadratic equations. Al-Khwarizmi's algebraic techniques, including the use of variables and equations, greatly advanced mathematical understanding and problem-solving. His work also contributed to the development of algorithms and mathematical notation, such as the concept of the "zero" and the decimal system. Overall, al-Khwarizmi's contributions revolutionized mathematics and had a profound impact on subsequent generations of mathematicians and scientists.

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Answer:

hola xD

como estas?

Step-by-step explanation:

x=30

six times five =x

The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm

Therefore;

1m = 100cm

16m = 16× 100 = 1600 cm

Therefore the maximum number of fence post that can be obtained is

1600/70 = 160/7

= 23.8 ( nearest tenth)

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Answer:

z>3

Step-by-step explanation:

Answer:

Z>3 ..hope this helped!

Step-by-step explanation:

fabric squares Madison needs

= circumference of the mirror= 2πr

\(2 \times 3.14 \times 14 \\ = 87.96 = 88 cm\)

Answer:

A. B. and D.

Step-by-step explanation:

Answer:

Mean: 78.5

Median: 78

Mode: 77

Step-by-step explanation:

Refer to the picture below for explanation.

Hope this helps! Let me know if you have any questions. Have a great day!

Answer:

-4

Step-by-step explanation:

Solution:

Perimeter of square = 40cm

But perimeter of square = 4 × side

Therefore, 4 × side = 40 cm

Therefore, side= 40/4 cm = 10cm

Now, the area of the square = (side × side)

Therefore, area of the square = 10 × 10 cm² =

100 cm².

Answer:

117,649

Step-by-step explanation:

7^35 x 7^-29

= 7^6

=117,649

Answer:

-8

Step-by-step explanation:

-8+3=-5

Answer:

I'll go from the top row and then do the bottom row from left to right. I put the letters next to them too if that makes it any easier.

Step-by-step explanation:

First one is already done

Second one:

Slope: -3 ( letter O)

Y-intercept: (0,4) (letter N)

Third One:

Slope: 2/3 ( letter P)

Y- intercept: (0,-3) (letter J)

Fourth One:

Slope:-1/2 (letter M)

Y-intercept: (0,3) (letter F)

Fifth one: ( first one on second row)

Slope: 1 ( letter i)

Y-intercept: (0,2) (letter S)

Sixth one:

Slope: -1/3 ( letter D)

Y-intercept: (0,-2) (letter B)

seventh one:

slope: 1/4 (letter E)

y-intercept: (0,-4) (letter H)

eighth one:

Slope:2 ( letter G)

Y-intercept: (0,0) ( letter A)

Hopefully these are all correct and it's not too confusing :)

Answer:

Kohl's or dicks Sporting Goods because the final prices at these two stores are the same but less than that of the third store.

Step-by-step explanation:

45 * .3 = 13.50

45 - 13.50 = 31.50

49 *.35 = 17.15

49 - 17.15 = 31.85

The final store was priced at 31.50 without a discount, so Kohl's and dicks Sporting Goods have the same final price and it's cheaper than the other store.

Answer:

Do you have a picture or can you explain more?

Step-by-step explanation:

Answer:

I believe 4 is the answer

Answer:

6

Step-by-step explanation:

Linda can choose any combination of three events that adds up to more than a kilometer but less than 1.5 kilometers

In order to find the best combination of events for Linda to sign up for to run a total of more than a kilometer but less than 1.5 kilometers, we must first determine the total distances of the individual events.

Depending on the events offered, Linda can choose three events that add up to more than a kilometer but less than 1.5 kilometers.

If Linda has the option of running the 100m, 200m, and 800m, she can satisfy her requirement of running more than a kilometer but less than 1.5 kilometers by choosing the 100m, 200m, and 800m.

This would add up to 1100m, which is slightly over a kilometer but below 1.5 kilometers.

Another option for Linda is to run the 100m, 400m, and 600m, which would add up to 1100m, once again satisfying her requirement.

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Therefore, in order for the given equation to be transformed into an exact equation, the functions M(x, y) and N(x, y) must satisfy the condition that µ_y(x, y) M(x, y) = µ_x(x, y) N(x, y).

To transform a given equation into an exact equation using an integrating factor, the functions µ(x, y) and z(x, y) must satisfy the following condition:

µ(x, y) * (M(x, y) dx + N(x, y) dy) = (µ_y(x, y) M(x, y) + µ_x(x, y) N(x, y)) dy - (µ_x(x, y) M(x, y) + µ_y(x, y) N(x, y)) dx

where M(x, y) dx + N(x, y) dy = 0 is the given equation.

In order for the above equation to be exact, the coefficients of dx and dy must be equal, i.e.,

µ_y(x, y) M(x, y) + µ_x(x, y) N(x, y) = µ_x(x, y) M(x, y) + µ_y(x, y) N(x, y)

This implies that µ_y(x, y) M(x, y) = µ_x(x, y) N(x, y).

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Answer:

$368

Step-by-step explanation:

What is 50% of $736?

50% = \(\frac{50}{100}\) = \(\frac{1}{2}\)

We Take

736 x  \(\frac{1}{2}\) = $368

So, 50% of $736 is $368.