64^1/2 divided by 10^-2

Answer:

what grade are you in? Maybe i can help :)

Answer:

a=750

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

40/100=0.4

0.4*85=34

Answer:

34

Step-by-step explanation:

40*0.85=34

The solutions to the original equation in the interval [0, 2π) are:

θ = 0, π/2, π, 3π/2, π/8, 3π/8.

We have,

Double-angle formula for sine: sin(2θ) = 2 sin(θ) cos(θ)

Double-angle formula for cosine: cos(2θ) = 2cos²(θ) - 1

Let's substitute these double-angle formulas into the equation:

−sin(2θ) − cos(4θ) = 0

−(2 sin(θ)cos(θ)) − (2cos²(2θ) - 1) = 0

2 sin(θ)cos(θ) + 2cos²(2θ) - 1 = 0

And,

cos(4θ) = 2 cos² (2θ) - 1

Now the equation becomes:

2 sin(θ) cos(θ) + cos(4θ) = 0

Now, factor out a common term:

cos(4θ) + 2 sin(θ) cos(θ) = 0

To solve for θ, each term to zero:

cos(4θ) = 0

2 sin(θ) cos(θ) = 0

Solving for θ:

cos(4θ) = 0

4θ = π/2, 3π/2 (adding 2π to get solutions in the interval [0, 2π))

θ = π/8, 3π/8

And,

2 sin(θ) cos(θ) = 0

This equation has two possibilities:

sin(θ) = 0

cos(θ) = 0

For sin(θ) = 0, the solutions are θ = 0, π (within the interval [0, 2π)).

For cos(θ) = 0, the solutions are θ = π/2, 3π/2 (within the interval [0, 2π)).

Thus,

The solutions to the original equation in the interval [0, 2π) are:

θ = 0, π/2, π, 3π/2, π/8, 3π/8.

Learn more about the Half-Angle formula here:

https://brainly.com/question/30400810

#SPJ12

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

Learn more about Triangle

https://brainly.com/question/17335144

#SPJ1

7x+15=8.5x

x=10

Standard form:

−3

2

x + 15 = 0

Factorization:

−3

2

(x − 10) = 0

Solutions:

x = 30

3

= 10

Answer:

949

Step-by-step explanation:

0.06 apples does she have if,She has 3 papayas.

Calculate the item's quantity. P:Q = p/Q should be used as the format.

The total quantities for the two objects would be equal to the sum of "p" and "q."

If you can, reduce the complexity of the object ratios.

Final outcome is the ratio in its simplest form.

Much like fractions, ratios can be entirely simplified. Divide every number in a ratio by the same number until it is impossible to divide it any more. This will simplify the ratio.

Divide every number in a ratio by the same number until it is impossible to divide it any more. This will simplify the ratio.

Explanation:

6/100 = 0.06.

To learn more about ratio refer to:

https://brainly.com/question/12024093

#SPJ1

0.06 apples does she have if,She has 3 papayas.

Calculate the item's quantity. P:Q = p/Q should be used as the format.

The total quantities for the two objects would be equal to the sum of "p" and "q."

If you can, reduce the complexity of the object ratios.

Final outcome is the ratio in its simplest form.

Much like fractions, ratios can be entirely simplified. Divide every number in a ratio by the same number until it is impossible to divide it any more. This will simplify the ratio.

Divide every number in a ratio by the same number until it is impossible to divide it any more. This will simplify the ratio.

6/100 = 0.06.

To learn more about ratio refer to:

brainly.com/question/12024093

#SPJ1

The area of the shaded portion would be 182812.5 square mm.

What is the area of a triangle?

The area of the triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the triangle.

The shades triangle in the sign had a base of 750 millimeters and a height of 650 millimeters, and the white triangle in the sign has a base of 375 millimeters and a height of 325 millimeters.

The area of the big triangle will be

A₁ = 1/2 × 750 × 650

A₁ = 243750 square mm

The area of the small triangle will be

A₂ = 1/2 × 375 × 325

A₂ = 60937.5 square mm

Then the area of the shaded portion of the sign will be

A = A₁ - A₂

A = 243750 – 60937.5

A = 182812.5 square mm

Hence, the area of the shaded portion would be 182812.5 square mm.

To learn more about the area, visit:

https://brainly.com/question/17335144

#SPJ4

Money left = money saved - cost of utilities.

Money left = 500 - 319.45

Money left = 180.55

Step-by-step explanation:

here you go also I like your profile picture classroom of elite !

Answer: y=36^(2)x*49

Step-by-step explanation: Graph.

Brainliest or a thank you if im right please :)) <3

Main answer:The basic formula for calculating the scale factor of a dilated figure is as follows: Scale factor = new shape dimension x original shape dimension

supporting  answer:

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making objects larger or smaller. This transformation yields an image that is identical to the original shape. However, there is a size difference in the shape.

body of the answer:

The scale factor is defined as the ratio of the new image's size to the old image's size. The dilation centre is a fixed point in the plane. The dilation transformation is defined based on the scale factor and the centre of dilation.

final answer: by following abouve we can find the scale factor of dilation

to learn more about scale factor of dilation from the given link

https://brainly.in/question/23453523#:~:text=Explanation%3A,point%20to%20the%20image%20point.

#SPJ4

The basic formula for calculating the scale factor of a dilated figure is as follows: Scale factor = new shape dimension x original shape dimension.

What is dilation?

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making objects larger or smaller. This transformation yields an image that is identical to the original shape. However, there is a size difference in the shape.

The scale factor is defined as the ratio of the new image's size to the old image's size. The dilation center is a fixed point in the plane. The dilation transformation is defined based on the scale factor and the center of dilation.

If the scale factor is greater than one, the image will stretch.

The image shrinks if the scale factor is between 0 and 1.

If the scale factor is 1, the original and produced images are congruent

By following the above we can find the scale factor of a dilation.

To learn more about the scale factor of dilation the given link:

https://brainly.com/question/24551408

#SPJ4

The answer to this question is that the number of automorphisms of g, where g = a × a and a is cyclic of order p, is equal to 2.

An automorphism is a bijective homomorphism from a group to itself. In other words, an automorphism preserves the group structure and the bijection property. For g = a × a, we can define an automorphism f(g) as f(g) = a^-1ga.

To show that there are only two automorphisms for g, we can consider the possible values of f(a) for the automorphism f(g). Since f(g) must preserve the group structure, f(a) must be an element of the cyclic group generated by a. Therefore, f(a) can only be a^k, where k is some integer between 0 and p-1.

However, we also know that f(g) = a^-1ga. So if f(a) = a^k, then f(g) = a^-1(a^ka)a = a^(k+1). Therefore, there are only two possible automorphisms for g: the identity automorphism (which maps a to itself) and the automorphism which maps a to a^-1.

In summary, the number of automorphisms of g = a × a, where a is cyclic of order p, is equal to 2: the identity automorphism and the automorphism which maps a to a^-1.

To learn about Cyclic quadrilaterals, visit:

https://brainly.com/question/10057464

#SPJ11

        4x - y = -19

       4(4x - y) = 4(-19)

            16x - 4y = -76

Now, let's substitute the 'x' value in the equation.

Therefore, the answers are:

Hoped this helped.

\(BrainiacUser1357\)

Answer:

(-7, -9).

( x = -7 and y = -9)

Step-by-step explanation:

-3x + 4y = -15  

  4x - y   = -19

Multiply second equation by 4:

16x - 4y = -76

Add this equation to the first to eliminate y:

13x = -15 + -76

13x = -91

x = -7.

Substitute this into equation 2:

4(-7) - y = -19

-y = -19 + 28

-y = 9

y = -9.

Answer:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

Answer:

y = -1/3x - 5

Introduction:

The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.

Step-by step explanation:

Since we have found the slope, let's find the y-intercept to create our equation.

Conclusion:

Therefore, our new equation is y = -1/3x - 5

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Correct option is

B

0

D

−1

sinx+sin2x+sin3x

=sin(2x−x)+sin2x+sin(2x+x)

=2sin2xcosx+sin2x [ by using sin(A+B)=sinAcosB+sinBcosA and sin(A−B)=sinAcosB−sinBcosA ]

=sin2x(2cosx+1)........(i)

cosx+cos2x+cos3x

=cos(2x−x)+cos2x+cos(2x+x)

=2cos2xcosx+cos2x [By using cos(a−b)=cosa⋅cosb+sina⋅sinb and cos(a+b)=cosa⋅cosb−sina⋅sinb]

=cos2x(2cosx+1).....(ii)

∴(sinx+sin2x+sin3x)

2

+(cosx+cos2x+cos3x)

2

=1

sin

2

2x(2cosx+1)

2

+cos

2

2x(2cosx+1)

2

=1.......[From(i)(ii)]

⇒(2cosx+1)

2

=1

⇒2cosx+1=±1

∴cosx=0or−1

Answer:

3

Step-by-step explanation:

3

Answer:

This is an odd function

Step-by-step explanation:

Given a function f(x),

if f(-x) = f(x) then the f(x) is even
If f(-x) = -f(x0 then the function is odd

If neither of the above is true then the function is neither odd nor even

We are given
\(f(x) = 4x^3 - x^5 + 5x\\f(-x) = 4(-x)^3 -(x)^5 + 5(-x)\\\\(-x)^3 = - x^3\\(-x)^5 = -x^5\\\\\\\therefore\\f(-x) = 4(-x^3) - (-x^5) + 5 (-x)\\\\= -4x^3 + x^5 - 5x\\\\= -(4x^3 -x^5 + 5x)\\\\= -f(x)\)

So the function is odd

Answer:

See if this is helpful

Answer:

x³ - 1

Step-by-step explanation:

Given

(x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

x³ + x² + x - x² - x - 1 ← collect like terms

= x³ - 1

Answer:

30

3

40

70

90

90

80

Step-by-step explanation:

Answer: aₙ = -12 + 4*n

Step-by-step explanation:

We know that:

a₃ = 0

a₄ = 4

a₅ = 8

a₆ = 12

a₇ = 16

This seems to be an arithmetic sequence.

To test this, we need to calculate the difference between any two consecutive terms in the sequence, and this must be a constant for any pair that we choose.

a₄ - a₃ = 4 - 0 = 4

a₅ - a₄ = 8 - 4 = 4

a₆ - a₅ = 12 - 8 = 4

etc

we can conclude that this is an arithmetic sequence.

The n-th term in an arithmetic sequence, where the increase between consecutive terms is 4, is:

aₙ = aₙ₋₁ + 4.

Another way is:

aₙ = a₀ + n*4.

Where to find a₀, we can start with the value that we know and go back:

a₂ = a₃ - 4 = -4

a₁ = a₂ - 4 = -8

a₀ = a₁ - 4 = -12

Then the n-th term can be written as:

aₙ = -12 + 4*n

whilst plotting the calibration curve, various concentrations and respective absorbance is at the x-axis and the y-axis, respectively

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

calibrating curve:

A calibration curve, additionally called a well-known curve, is a fashionable technique for figuring out the awareness of a substance in an unknown pattern via way of means of evaluating the unknown to a fixed of well-known samples of recognized awareness.

A calibration curve is a linear graphical representation of standard solutions of varying concertation on the X-axis and their respective absorbance on the Y-axis.

Therefore, when plotting the calibration curve, varying concentrations and   respective absorbance is on the x-axis and the y-axis, respectively

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ1

it would be 16 times, hope this helps

Answer:

Step-by-step explanation:

1.25x=20

x=$20 balance/ $1.25 purchase each visit

x=16 purchases

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

To know more about Function visit:

https://brainly.in/question/222093

#SPJ11

The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To know more about Taylor series, visit:

https://brainly.com/question/32235538

#SPJ11

Answer:

\( \huge{ \sqrt[3]{ {8}}^{x} = \boxed{ {8}^{ \frac{x}{3} } }✓}\)

Answer:

this is difficult oh my god

To determine whether the set G, consisting of all non-zero real-valued functions on the real line, forms a group under the given operation of multiplication, we need to check if it satisfies the four group axioms: closure, associativity, identity, and inverses.

1) Closure: For any two functions f, g ∈ G, their product f × g is also a non-zero real-valued function since the product of two non-zero real numbers is non-zero. Therefore, G is closed under multiplication.

2) Associativity: The operation of multiplication is associative for functions, so (f × g) × h = f × (g × h) holds for all f, g, h ∈ G. Thus, G is associative under multiplication.

3) Identity: To have an identity element, there must exist a function e ∈ G such that f × e = f and e × f = f for all f ∈ G. Let's assume such an identity element e exists. Then, for any x ∈ R, we have e(x) × f(x) = f(x) for all f ∈ G. This implies e(x) = 1 for all x ∈ R since f(x) ≠ 0 for all x ∈ R. However, there is no function e that satisfies this condition since there is no real-valued function that is constantly equal to 1 for all x. Therefore, G does not have an identity element.

4) Inverses: For a group, every element must have an inverse. In this case, we are looking for functions f^(-1) ∈ G such that f × f^(-1) = e, where e is the identity element. However, since G does not have an identity element, there are no inverse functions for any function in G. Therefore, G does not have inverses.

Based on the analysis above, G does not form a group under the operation of multiplication because it lacks an identity element and inverses.

Learn more about Integration here

https://brainly.com/question/31744185

#SPJ11