help meeeeeeeeeeeeeee pleaseeeeeee

Use a calculator to find the value of each trigonometric function evaluated at their corresponding angles, up to 3 decimal places:

The time that it took Raj's older brother to complete his homework was 1 ¹ / ₄ hours

The time that it would take for Raj to complete the homework is 5/6 hours. His older brother would do it in 1 1/2 times as long.

The first thing to do is to convert this to an improper fraction:

= 1 1/2

= (2 x 1 + 1) / 2

= 3 / 2

The time it would take Raj's brother is therefore:

= Time it took Raj x Multiple

= 3 / 2 x 5 / 6

= 15 / 12

= 1 .25

1.25 in mixed fractions is:

= 1 ¹ / ₄ hours

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12 words is 3/4 or 75% of the list

How many words are=

Find 100- 75=25%

25%= 1/4 = 3/4÷3

Then divide 75%/3= 12/3= 4

Now add 12words + 4 words = 16 words

Then answer is, there are 16 words

Answer:

is a way to express the definition of a circle on the coordinate plane. The formula is ( x − h) 2 + ( y − k) 2 = r 2. h and k are the x and y coordinates of the center of the circle. ( x − 9) 2 + ( y − 6) 2

Step-by-step explanation:

Hope it helped the answer is up there☝

For the given graph , piecewise function for the given graph is as follow:

f(x)  =  1  ,                if x < -2

        2x ,              if -2 < x ≤ 0

       (- x / 2) + 2     if x > 0

As given in the question,

Given is the graph of the function f( x )

Now to find the piecewise function for the given graph is as follow:

For   x < -2 it is given that f ( x) = 1

Now consider two points for  -2 < x ≤ 0

( x₁ , y₁ ) = ( 0 , 0 )

( x₂ , y₂ ) = ( -2 , -4 )

Equation of f(x) is given by :

( y - 0 )/ ( x -0 ) = ( -4 - 0)/ (-2 - 0 )

⇒ y = 2x

Now consider two points for  x > 0

( x₁ , y₁ ) = ( 0 , 2 )

( x₂ , y₂ ) = ( 2 , 1 )

Equation of f(x) is given by :

( y - 2 )/ ( x -0 ) = ( 1 - 2)/ ( 2 - 0 )

⇒ y - 2 = -x / 2

⇒ y = ( -x / 2 ) + 2

Therefore, for the given graph , piecewise function for the given graph is as follow:

f(x)  =  1  ,                if x < -2

         2x ,              if -2 < x ≤ 0

       (- x / 2) + 2      if x > 0

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The Equivalent numbers are

5.812 × 10⁻⁷ and 0.0000005812

5.46 × 10¹¹ and 546,000,000,000

What is the meaning exponent of 10?

A power of 10 is the sum of all the tens that the exponent indicates. As a result, a power of 10 is represented in long form as the number 1 followed by n zeros, where n is the exponent and is bigger than 0; for instance, 10⁶ is represented as 1,000,000.

Given numbers are:

4.836 × 10⁶ and 4,836,000,000

5.812 ×  10⁻⁷ and 0.0000005812

5.46 × 10¹¹ and 546,000,000,000

The equivalent form of 4.836 × 10⁶ is

4.836 × 1000000 = 4,836,000

The equivalent form of 5.812 ×  10⁻⁷  is

5.812 ×  10⁻⁷  = 5.812/ 10000000 = 0.0000005812.

The equivalent form of 5.46 × 10¹¹ is

5.46 × 10¹¹  = 5.46 × 100000000000 = 546,000,000,000

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Given data:

The principal is

The time is

The interest is

Concept:

The formula to calculate interest rate (R) is given below as

By substituting the values in the formula above, we will have

Hence,

The final answer is 5%

⇒ x-4 is the term in this case there for the term (x-4) is squared meaning the term has to multiply itself twice.

[tex]=(x-4)(x-4)\\=x(x-4)-4(x-4)\\=x^{2} -4x-4x+16\\=x^{2} -8x+16[/tex]

If you are still struggling on how to multiply out DM ASAP.

Answer

They should deposit $7710.99

Explanation

Using compound interest formula,

Where:

A = Amount = $20,000

P = Principal = ?

r = Interesr rate = 10% = 0.1

n = 1

t = 10

The counting number are the integers that are used for counting like 1, 2, 3, 4, 5...

The number -2 is not a counting number therefore, the difference between 3 and 5, which are counting numbers is not a counting number. The answer is b.

Answer:

Step-by-step explanation:lol

The value of the radius that minimizes the amount of Aluminium is 4.64 cm and it gives the local minimum of the function

From the question, the volume of the aluminium is given as

Volume = 200pi cm^3

Rewrite this volume properly using the correct symbols and units

So, we have the following representation

Volume = 200π cm³

Solving further, we make use of the volume of a cylinder (i.e. a can)

The volume of a sphere is represented as

V = πr²h

Substitute Volume = 200π cm³ in

πr²h = 200π

Make h the subject in the above equation

This gives

h = 200π/πr²

Cancel the common factors

h = 200/r²

The surface area of a can is

A = 2πr(h + r)

So, we have

A = 2πr(200/r² + r)

This gives

A = 400π/r + 2πr²

Differentiate the function

This gives

A' = -400π/r² + 4πr

Set the differentiated function to 0

-400π/r² + 4πr = 0

So, we have

-400π/r² = -4πr

Cross multiply

-400π = -4πr³

Divide through by -4π

r³ = 100

Take the cube roots

r = 4.64

Hence, the radius that given minimum material is 4.64 cm

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The solution of the given equation is 1. Therefore, option B is the correct answer.

The given equation is 6+7(b-1) = 5+b.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

Now, 6+7b-7 = 5+b

⇒ 7b-1=5+b

⇒ 7b-b=5+1

⇒ 6b=6

⇒ b=1

The solution of the given equation is 1. Therefore, option B is the correct answer.

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step 1

equate the revenue and the cost

so'

2.2x=0.6x+2000

solve for x

2.2x-0.6x=2000

1.6x=2000

x=1,250

step 2

the company will make a profit when the revenue is greater than the cost

therefore

the value of x must be greater than 1,250

x> 1,250 tubes of toothpaste

Note: For x=1,250 ----> the revenue is equal to the cost (Profit 0)

In 2years time, Lamar will be 18years old by application of an algebraic expression x for the unknown value.

Algebra is the branch of mathematics that helps to represent problems or unknown values in the form of mathematical expressions.

Algebraically, let us represent the age of Malcolm with the unknown value x

then the age of Lamar will be 4x

In 2years time;

Malcolm's age = x + 2

Lamar's age = 3(x + 2) {3times as old as Malcolm}

Also

Lamar's age = 4x + 2 {Lamar's age plus 2years}

So

4x + 2 = 3(x + 2)

open bracket by expansion

4x + 2 = 3x + 6

collect like terms

4x - 3x = 6 - 2

x = 4

Hence, substituting the known value of x in the algebraic expressions of x for Malcolm's age and 4x for Lamar's age, we have 4years and 16years respectively. And in 2years time Lamar will be 18years

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Step-by-step explanation:

3×5 = 15

so, the first number n×3 = 24, n = 8

an and then we have

8 : 5 : 6 : 7 = 24 : 15 : 18 : 21

Answer:

$14.70

Step-by-step explanation:

If she get paid the time and a half you would first divide $9.80 by 2 which is $4.90. Now that you have the half price you add the original time to it. $9.80+$4.90= 14.70 so that’s the answer

Answer:

Step-by-step explanation:

11: 180-133= 47 degrees

12: 72 degrees

13: 15x+5+(-1+7x)=180

     15x+5-1+7x=180

     22x+4=180

     22x=176

     X=8

14: 180-45= 135

14x-5=135

14x=140

x=10

Hopes this helps please mark brainliest

To answer this question, we need to have into account the following:

1. In the context of interval notation, the word "or" can be represented by the symbol "U".

2. We need to rearrange the inequality -x > 6 in a way that we have positive x.

We can proceed as follows:

We can express the inequality in this way because it expresses all of the values greater than 2, and these values tend to the positive infinity. We have parenthesis here since the values are not equal to 2 (only greater than 2).

If we multiply both sides of the inequality by -1, we need to reverse the direction of the inequality as follows:

Now, we have all of the values less than -6, not equal, and because of this, we have to use parenthesis:

Therefore, we can say that:

Can be expressed in interval notation as:

In summary, the answer to this question is:

The linear equation to model the situation of water when Baxter begins to drain it is 55 + 2x = y.

The initial amount is 55 gallons and will not change.

The amount of water in the tank is increasing by 2 gallons per minute.

The minutes are the independent variable, which we can represent with the x.

The amount just at end of the minutes is the dependent variable, which we can represent with the y.

The linear equation;

55 + 2x = y

Thus, the linear equation to model the situation of water when Baxter begins to drain it is 55 + 2x = y.

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The graph rises parabolically. The rise in the value is not perfectly parabolic, but the increase can be structured as parabolic.

The general equation of a parabola is given by a quadratic equation as-

y = ax² + bx + c. It has a degree of [2] and has two possible roots.

We have the following table -

Days after posting [x] →    1     2     3     4    5    6

Unique daily views [y] →   5    8   13   20  29  40

Refer to the graph attached. It can be seen that, the graph is a parabola. Although the rise in the value is not perfectly parabolic, but the increase can be structured as parabolic. Mathematically, the equation of the parabola can be written as -

y = ax²

The parabola is wide open {not close to y - axis}, this signifies that the value of [a] is in decimals. If we make a estimate, it would be almost [a] = 1/88 for the mentioned data.

Therefore, the graph rises parabolically. The rise in the value is not perfectly parabolic, but the increase can be structured as parabolic.

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The point of maxima of any function can be known by equating its derivative to zero. The rocket will take 1.5 sec to reach the maximum height and the maximum height is 27 feet.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as g'(x) = (g(x + h) - g(x)) /(x + h - x).

Its geometric aspect is the slope of the function at a given point.

Given that,

Initial height of the launching pad is 4 feet,

Initial velocity of rocket is 48 feet/sec,

Height of the rocket as a function of time, h(t) = -16t² + 48t + 3

In order to find the time for maximum height equate h'(t) = 0 as follows,

-32t + 48 = 0

⇒ t = 48 / 32

⇒ t = 3 / 2

⇒ t = 1.5

To find the maximum height find h(t) for t = 1.5 as follows,

h(1.5) = -16 × 1.5² + 48 × 1.5 + 3

= -36 + 60 + 3

= -36 + 63

= 27

Hence, the time taken by the rocket to reach the maximum height is 1.5 sec and the maximum height reached is 27 feet.

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Answer:

• Point A

• Triangle ABC

• Triangle ADE

Explanation:

From the diagram

The center of dilation is point A.

We know this because the center of dilation is a fixed point in the plane about which all points are expanded or contracted.

Point A does not change in the two triangles.

The original triangle is triangle ABC.

We know this because it is the larger of the two triangles. A scale factor of 1/2 will reduce the size of the original image.

The dilation is triangle ADE.

The correct option is; Yes, all the three expressions are equivalent to each other.

For the given question;

The three expressions are given as;

a: 20(1.1ˣ)   ...1

b: 20(1.1⁻¹)⁻¹ˣ

Simplifying as;

= 20(1.1⁻¹⁽⁻¹ˣ⁾)

= 20(1.1ˣ) ....2

c: 20(1.1¹/⁵)⁵ˣ

Simplifying.

= 20(1.1¹/⁵⁽⁵ˣ⁾)

= 20(1.1ˣ) ....3

So, a = b = c

Thus, all three expressions are equivalent to each other.

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In order to identify if the triangles are similar, you first take into account the rect angle of the triangles. Form there you can notice that side ON in the bigger triangle, is similar to the side as RQ in the little one.

So, you calulate the proportion between sides ON and RQ, just as follow:

Then, the proportion of those sides is 2. This proportion must be the same for the other similar sides of both traingles, in order to conclude that the triangle are similar.

Hence, the triangles are similar

6 cm, C. He did not square the length of the given leg

Explanation

to solve this we need to use the Pythagorean theorem

T.P states for all rigth triangles:

then

Step 1

let

a=2.3

b=b

c=6.4

replace

Step 2

What mistake might the student have made?

check

A)He added the two given values

B) He subtracted the two given values

C)He did not square the length of the given leg

D. He did not square the length of the hypotenuse​

so, the answer is C

I hope this helps you

The triangle is an Corollary 1 to the isosceles triangle theorem.

Given that,

In the picture we have a triangle,

We have to find which triangle is it.

From the triangle,

The 2 sides are equal and the 2 angles are also equal.

So, The triangle is an Corollary 1 to the isosceles triangle theorem.

According to the isosceles triangle theorem, if two triangle sides are congruent, then the angles across from those sides are likewise congruent.

An isosceles triangle is one with two sides that are the same size and a third side that is a different size.

Therefore, The triangle is an Corollary 1 to the isosceles triangle theorem.

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The required measure of side y = 8

Given : Triangle TUV and triangle XWV are similar

Thus [tex]\frac{UV}{VW} = \frac{6}{21}[/tex]

this is further equal to [tex]\frac{2}{7}[/tex]

Thus the ratio UV : VW = 2 : 7

this implies that the ratio TV : VX should also be equal to the ratio of UV : VW = 2 : 7 because of cpst or also called corresponding parts of similar triangles.

Given  UV : VW = 2 : 7

thus TV : VX = [tex]\frac{y}{28 }[/tex] which on equation will give y as 8

because [tex]\frac{8}{28}[/tex] when divided by 4 will give us the required ratio that is 2 : 7

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x=-1, y =2 S { -1,2}

1) Solving that linear system

x + 2y = 3 x -5 To eliminate x

5× +5y = 5​

-5x -10y = -15

5x +5y = 5​

---------------------

-5y = -10

y =2

1.2 Plugging into the I equation:

x +2(2)= 3

x +4=3

x=-1