sin^2x + sin2x +2cox^2x = 2

[tex]\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{3-10}{15}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{-7}{15}[/tex]

Answer:

D. -7/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

f+ 2/3-2/3= 1/5-2/3

Step 2: Subtract 2/3 from both sides.

f= -7/15

Answer:

(x+11)(x-11)

Step-by-step explanation:

Hello!

We are given the expression x²-121, and we want to factor it

The expression is a difference of squares expression.

The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)

121 is 11 squared, and x² is x squared

So that means that a=x, and b=11 in this case

Now substitute those values into the formula

a²-b²=x²-121=(x+11)(x-11)

Hope this helps!

Answer:

(x-11)(x+11)

Step-by-step explanation:

x^2 -121

x^2 -11^2

This is the difference of squares  a^2 - b^2 = (a-b)(a+b)

(x-11)(x+11)

Answer:

D

Step-by-step explanation:

The midpoint is the average of the 2 endpoints, that is

midpoint = [tex]\frac{-7+12}{2}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5 → D

Answer:

[tex]t = \frac{ v_{1} - v_{0}}{a} \\[/tex]

Step-by-step explanation:

[tex]a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ [/tex]

Answer: 2

Step-by-step explanation: if you use a calculator or you could use paper and pencil write out the expression and you should get 2

Answer:

Below!

Step-by-step explanation:

A straight line = 180 degrees, so all you need to do to find angle a is to subtract 156 from 180!

180 - 156 = 24 degrees

Hope this helped!

Answer:

a.125.89..............

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

here we want to multiply different monomials, the particular important thing about this problem is learning how to simplify these multiplications.

Here we need to remember the property:

[tex]a^n*a^m = a^{n + m}[/tex]

Now we want to directly multiply the monomials:

a) a³ , -6 a² b and 2 b³

Here we just have:

[tex]a^3*(-6*a^2*b)*(2*b^3)[/tex]

Let's reorder that, so we can separate the variables and the coefficients, so then we can use the above property to solve this:

[tex]a^3*(-6*a^2*b)*(2*b^3) = (-6*2)*(a^3*a^2)*(b*b^3) = -12*a^5*b^4[/tex]

b) 16 x⁶ , -10 xy² and 3/5 x² y²

Like before, we want to simplify:

[tex](16*x^6)*(-10*x*y^2)*(\frac{3}{5}*x^2*y^2)[/tex]

Again, reordering that we get:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2)[/tex]

Now solving each parenthesis:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2) = -96*x^{6 +1 + 2}*y^{2 + 2}[/tex]

Simplifying the last expression we get:

[tex]-96*x^{6 +1 + 2}*y^{2 + 2} = -96*x^9*y^4[/tex]

c)  -4 p² q² and 3/8 pq²

Here we want to simplify:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2)[/tex]

Using the same approach as before, we will get:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2) = (-4*\frac{3}{8})*(p^2*p)*(q^2*q^2) = \frac{-3}{2}*p^3*q^4[/tex]

If you want to learn more, you can read:

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Answer: 7 weeks

Step-by-step explanation:

16X + 127 = 239

16X = 239 - 127

16X = 112

X = 112/16

X = 7

The solutions are:

sin(a)  = 24/25

tan(a) = 24/7

For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.

Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.

So we have:

x = adjacent cathetus

y = opposite cathetus

h = hypotenuse = √(x^2 + y^2)

Then the trigonometric relations become:

cos(a) = x/√(x^2 + y^2)

sin(a) = y/√(x^2 + y^2)

tan(a) = y/x

Now, we know that we have:

cos(a) = 7/25

then we can see that:

x = 7

and

h = 25 = √(7^2 + y^2)

We can solve the above equation for y:

25 = √(7^2 + y^2)

25 = √(49 + y^2)

25^2 = 49 + y^2

625 - 49 = y^2

√576 = y = 24

Then we have:

x = 7

y = 24

h = 25

Now we can return to our known trigonometric relations and get:

sin(a) = y/√(x^2 + y^2) = 24/25

tan(a) = y/x = 24/7

If you want to learn more about trigonometry, you can read:

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Ans : 22

if my ans wrong im srry

Answer:

25 +28+x=180

53+x=180

x=180_53

x=127

Answer:

657

Step-by-step explanation:

312 + 138 + 207

= 450 + 207

= 657

Answer:

600

Step-by-step explanation:

To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.

312: there is one in the tenths place, so it will stay as 300.

138: there is three in the tenths place, so it will stay as 100.

207: there is a zero in the tenths place, so it will stay as 200.

If you are doing it with the one's place, it is the same method. Either round up or down.

300 + 100 + 200 = 600

The answer is 600.

Answer:

3x=10

Step-by-step explanation:

x=10-3

x=7

i hope this answer will help u

Answer:

4x = 47x+2

Step-by-step explanation:

Using the one–to–one property, you can set x = 7x + 2.

Answer:

it is 80⁰

Step-by-step explanation:

cuz the it vertical angle

and to find a just get

180-80-70

Answer:

A

Step-by-step explanation:

Equate f(x) to 8 , that is

[tex]2^{x}[/tex] = 8 = 2³

Since bases on both sides are equal, both 2, then equate exponents

x = 3

The value of the x when the exponential function shown in the graph f(x) = 2ˣ is 8 is when x = 3, which is option A.

Here, given the graph of the function,

f(x) = 2ˣ

We have to find the value of x when f(x) = 8.

In order to find the value of x, when f(x) = 8, we have to write as,

f(x) = 8

2ˣ = 8

Now write 8 as an exponent with base 2.

2ˣ = 2³

Hence the value of x = 3

Learn more about Exponential Functions here :

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Answer:

15x^9

Step-by-step explanation:

A=l x w

5x^4 times 3x^5 is basically 3*5*x^4*x^5

when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9

Answer:

D

Step-by-step explanation:

Answer:

The doing would be x

Step-by-step explanation:

since you are calculating domain for a specific value it would be the corresponding g(x) value which is the domain

Answer:

Cost of a play station game = $11.3

Cost of each water ride = $22.6

Step-by-step explanation:

Entrance tickets = $89.97

Royal meal = $10.85

Cost of a play station game = x

Cost of each water ride = 2x

Find the cost of a water ride

Entrance tickets = Royal meal + 1 play station game + 3 water rides

89.97 = 10.85 + 1(x) + 3(2x)

89.97 = 10.85 + x + 6x

89.97 = 10.85 + 7x

89.97 - 10.85 = 7x

79.12 = 7x

x = 79.12/7

x = 11.302857142857

Approximately to the nearest tenth

x = $11.3

Cost of a play station game = x = $11.3

Cost of each water ride = 2x

= 2(11.3)

= $22.6

Answer:

Se determina mediante al auxilio del cálculo integral.

Supongamos una fuerza variable con el tiempo. Entonces el impulso es:

J = ∫F(t) dt, para t entre t y to

Si es variable con la posición o con la velocidad se deberá expresar la integral en términos de la posición o de la velocidad.

Step-by-step explanation:

[tex]\boxed{\sf 1-sin^2\theta=cos^2theta}[/tex]

[tex]\boxed{\sf cos^2\theta=\dfrac{1}{sec^2\theta}}[/tex]

Solution:-

Let's do

[tex]\\ \sf\longmapsto k=sec^2\theta(1+sin\theta)(1-sin\theta)[/tex]

[tex]\\ \sf\longmapsto k=sec^2\theta(1-sin^2\theta)[/tex]

[tex]\\ \sf\longmapsto k= sec^2\theta(cos^2\theta)[/tex]

[tex]\\ \sf\longmapsto k=sec^2\theta\times \dfrac{1}{sec^2\theta}[/tex]

[tex]\\ \sf\longmapsto k=1[/tex]

[tex]\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

[tex] \sec^{2} θ(1 + \sinθ)(1 - \sinθ) = k[/tex]

[tex] \sec^{2} θ \: (1 - { \sin}^{2} θ) = k[/tex]

[tex] { \sec }^{2} θ \cos^{2} θ = k[/tex]

[tex] \sec ^{2} θ. \frac{1}{ {sec}^{2}θ } = k[/tex]

[tex]1 = k[/tex]

Therefore:

[tex] \color{red}k = 1[/tex]

Answer:

B. 9.35

Hope this helps...Have a good day!!

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = sqrt17, which is approximately 4.1231 or around 4.1

Answer:

Step-by-step explanation:

Answer:

365.7 km²

hopefully this answer can help you to answer the next question.

Answer:

12.8

Step-by-step explanation:

Answer:

49.1 milez

Step-by-step explanation:

Total miles driven=45.3+3.8=49.1 miles

Answer:

x = 41°, y = 139°

Step-by-step explanation:

The given parameters are;

Line m is parallel to line n and lines m and n have a common transversal

The corresponding angles formed by the common transversal to the two parallel lines are 41° on line m and x° on line n

Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal

x° and y° are linear pair angles and they are, supplementary

∴ x° + y° = 180°

∴ x° + y° = 41° + y° = 180°

y° = 180° - 41° = 139°

y° = 139°.

Answer:

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest