cos^2 x = (1 - cos 2x)/2 A. True B. False

Answer:

easy = 391 items

hard = there are 8 more girls than there are boys

The missing equivalent forms are: a = 10%,  b = 25/100 and c = 1/2

Unit Fraction   Fraction with 100 in denominator      Percent

1/10                              10/100                                             a

1/4                                  b                                                  25%

c                                  50/100                                           50%

Complete the table by finding the missing equivalent form for each row.

From the above table, we have the following equations

a = 10/100

b = 25%

c = 50/100

The variable a must be in percentage.

So, we have:

a = 10/100

Express as percentage

a = 10%

The variable b must be a fraction with 100 in denominator

So, we have:

b = 25%

Express as fraction

b = 25/100

The variable b must be a unit fraction

So, we have:

c = 50/100

Divide the fraction by 50/50

c = 1/2

Hence, the missing equivalent forms are:

a = 10%,  b = 25/100 and c = 1/2

Read more about fraction and percentage at:

https://brainly.com/question/7244254

#SPJ1

No solution since absolute value can't be equal to negative numbers

PLEASE GIVE BRAINLIEST

Answer: 2xy

Step-by-step explanation: 2xy is the answer bra

The value of x in the given expression x² = 50 is 5√2

x² = 50

Thake the square root of both sides

x = √50

Recall

√50 = √(25 × 2) = 5√2

Thus,

x = √50

x = 5√2

Learn more about surd:

https://brainly.com/question/24700530

#SPJ1

The value is 3 which represents the vertical translation from the graph of the parent function f(x)=x² option third 3 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = x²

The above function is a parent function.

The translation: vertical translation from the graph of the parent function.

F(x) → f(x) + 3

F(x) = x² + 3

The above function will shift vertical up by 3 units.

Thus, the value is 3 which represents the vertical translation from the graph of the parent function f(x)=x² option third 3 is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

The complete statement is divide factors of ± 8 by factors of ± 1

The polynomial is given as:

4x^3 + x^4 - 7x^2 - 8x - 8

Rewrite properly as:

x^4 + 4x^3 - 7x^2 - 8x - 8

The first term in the above equation is 1 i.e. 1x^4, while the last term is 8

To determine the possible rational roots, we divide the factors of the last term i.e. 8 by the factors of the first term i.e. 1

Hence, the complete statement is divide factors of ± 8 by factors of ± 1

Read more about rational roots at:

https://brainly.com/question/10937559

#SPJ1

The required equation of the line passing the coordinates will be y = 3/4x - 1/4

The standard equation of a line is expressed as y= mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points on a line (3, 2) and (-1, -1)

Slope = -1-2/-1-3

Slope = 3/4

Determine the y-intercept

2 = 3/4(3) + b
2 = 9/4 + b

b = 2 - 9/4

b = -1/4

The required equation of the line passing the coordinates will be y = 3/4x - 1/4

Learn more on equation of a line here: https://brainly.com/question/18831322

#SPJ1

Answer:

0.76

Step-by-step explanation:

-8+3=-6x^(2/3)

-5=-6 x^(2/3)

-5/-6=x^(2/3)

(2/3)√{5/6}=x

0.76=x

x=0.76

Answer:

$980

Step-by-step explanation:

Given the cost of gasoline = $2.80/mile

Total Distance = 175miles x 2 (Back and forth)

= 350 miles

Total Cost = Cost of gasoline x Total Distance =

= $2.80 x 350

= $980

The total cost of the trip from Seattle to Portland and back cost in dollars will be;

⇒ $250

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The driving distance from Seattle to Portland is 175 miles.

Your car gets 25 miles per gallon and the cost of gasoline is $2.80 per gallon.

Now,

Since, The driving distance from Seattle to Portland is 175 miles.

Hence, The total distance from Seattle to Portland and back = 175 + 175

                                                                                            = 350 miles

And, Your car gets 25 miles per gallon and the cost of gasoline is $2.80 per gallon.

Hence, The cost of gallon = 350/25 x $2.50

                                        = 100 x $2.50

                                        = $250

Thus, The total cost of the trip from Seattle to Portland and back cost in dollars will be;

⇒ $250

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

We found a counterexample, so the statement is false.

Let's use the matrix:

[tex]\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right][/tex]

This is a 4x4 matrix with determinant equal to -2.

The inverse matrix is:

[tex]\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right][/tex]

If we multiply it by 2, we get:

[tex]\left[\begin{array}{cccc}1&0&0&0\\0&-2&0&0\\0&0&-2&0\\ 0&0&0&-2 \end{array}\right][/tex]

The adjoint of that is the original matrix, actually:

[tex]\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right][/tex]

Which we already know, has a determinant of -2.

So the statement is false, as we found a counterexample.

If you want to learn more about matrices:

https://brainly.com/question/11989522

#SPJ1

The product of (√3x + √5)(√15x+2√30) assuming x ≥ 0 is 3√5x² + 6√10x + 5√3x + 10√6

It follows from the task content that the expression given whose product is to be evaluated is;

(√3x + √5)(√15x+2√30)

Hence, by multiplying the terms with each other accordingly; we have;

= (√45x² + 2√90x + √75x + 2√150)

= 3√5x² + 2√90x + √75x + 2√150

= 3√5x² + 2×3√10x + √75x + 2√150

= 3√5x² + 2×3√10x + 5√3x + 2√150

= 3√5x² + 2×3√10x + 5√3x + 10√6

= 3√5x² + 6√10x + 5√3x + 10√6

Ultimately, the product of the expression is; 3√5x² + 6√10x + 5√3x + 10√6

Learn more about product:

https://brainly.com/question/10090998

#SPJ1

Answer:

152cm²

Step-by-step explanation:

math and stuff and things

Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:

n = 4, p = 1/5 = 0.2.

The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096[/tex]

0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

The solution to the given linear equation is x=1

Linear equations are equations that has a leading degree of 1.

Given the linear equation as shown below;

8x - 5= 2x + 1

Subtract 2x from both sides

8x - 2x - 5 = 2x + 1-2x

6x - 5  = 1

Add 5 to both sides

6x - 5 + 5 = 5 + 1

6x  = 6

Divide both sides by 6

6x/6 = 6/6

x = 1

Hence the solution to the given linear equation is x=1

learn more on linear equation here: https://brainly.com/question/14323743

#SPJ1

Answer:

A 2kg block is moved a long a level floor by a horizontal force of 20N if the coefficient of sliding friction is 0.4

what is the acceleration of the blove

Answer:

Step-by-step explanation:

The ratio of the number of fiction books is 9:4

 the difference between the number of fiction and nonfictionn is 245

so if the number of fiction books = 9x

then the number of nonfiction books = 4x

then difference = 9x-4x = 5x

the difference is given 245

then 5x= 245

x=[tex]\frac{245}{5}[/tex]=49

number of fiction books =49×9=441

number of nonfiction books =49×4=196

https://brainly.com/question/27979540?answering=true&answeringSource=feedPublic%2FhomePage%2F12

#SPJ2

The value of x in the segment is 3

Using the secant and segment theorem, we have:

x * (x + 21) = (x + 1) * (x + 1 + 14)

Evaluate the sum

x * (x + 21) = (x + 1) * (x + 15)

Expand

x^2 + 21x = x^2 + 15x + x + 15

Subtract x^2 from both sides

21x = 15x + x + 15

Evaluate the like terms

5x = 15

Divide both sides by 5

x = 3

Hence, the value of x is 3

Read more about secants at:

https://brainly.com/question/26374536

#SPJ1

Answer:

  (d)  see attached

Step-by-step explanation:

There are a couple of quick checks you can do to identify the correct graph.

__

Find a variable with a positive coefficient, and write that in the given relation to the inequality symbol:

  x >

This tells you ...

The x-coefficient is a factor of the constant, so the x-intercept of the boundary line is easily found. Set y=0, and you have ...

  2x = 6

  x = 3

The boundary line you're looking for has an x-intercept at x=3.

__

The correct graph is shown in the attachment.

Step-by-step explanation:

hope you can understand

Answer:

88 cm

Step-by-step explanation:

body to tail = length of body + length of tail

body to tail = 54 cm + 34 cm

body to tail = 88 cm

The expressions for the number of measles are y = a(1.05)^x and y = a(1.1)^x

Let the initial number of measles in 2000 be represented as:

Initial = a

The rate of increase is given as:

Rate, r = 5.3%

The number of measles in x years after 2000 is represented as:

y = a * (1 +r)^x

Substitute r = 5.3%

y = a * (1 + 5.3%)^x

So, we have:

y = a * (1 + 0.053)^x

Evaluate the sum

y = a * (1.053)^x

To express to the nearest hundredth, we approximate to 2 decimal places

y = a(1.05)^x

To express to the nearest tenth, we approximate to 1 decimal place

y = a(1.1)^x

Hence, the expressions for the number of measles are y = a * (1.05)^x and y = a * (1.1)^x

Read more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

Answer:

(5, 2 )

Step-by-step explanation:

5x + 2y = 29 → (1)

x + 4y = 13 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate y

- 10x - 4y = - 58 → (3)

add (2) and (3) term by term to eliminate y

- 9x + 0 = - 45

- 9x = - 45 ( divide both sides by - 9 )

x = 5

substitute x = 5 into either of the 2 equations and solve for y

substituting into (2)

5 + 4y = 13 ( subtract 5 from both sides )

4y = 8 ( divide both sides by 4 )

y = 2

solution is (5, 2 )

Answer:

-5

Step-by-step explanation:

Since g(x) is f(x) shifted 5 units down, g(x) = f(x) -5. Therefore k = -5

Answer:

The cardinality Of Set A= 8, Set B = 5

Step1: Integers greater than or equal to -9 and less than or equal to -2 are

      =   -9,-8,-7,-6,-5,-4,-3,-2

Step 2: Form a set using given elements, we have

Set A = {-9,-8,-7,-6,-5,-4,-3,-2}

Step 3: Count the no. of elements

we have, no. of elements is 8.

For given Set B = {-30, -27, 20, 24, 28}

we have, no. of elements is 5.

Learn more about sets and cardinality: https://brainly.com/question/17023310

#SPJ10

Answer: [tex]2\left(x-\frac{1}{4} \right)^{2}[/tex]

Step-by-step explanation:

[tex]2x^{2}-x+\frac{1}{8}\\\\=2\left(x^{2}-\frac{1}{2}x \right)+\frac{1}{8}\\\\=2\left(\left(x-\frac{1}{4} \right)^{2}-\frac{1}{16} \right)+\frac{1}{8}\\\\=2\left(x-\frac{1}{4} \right)^{2}-\frac{1}{8}+\frac{1}{8}\\\\=\boxed{2\left(x-\frac{1}{4} \right)^{2}}[/tex]

Answer:

Polynomial, 6. Constant. The highest value of the exponent in the expression is known as the Degree of Polynomial. The degree of a polynomial is the largest exponent. It is also known as an order of the polynomial. While finding the degree of the polynomial, the polynomial powers of the variables should be either in ascending or descending order.

Step-by-step explanation:

A term is defined as a part of an equation separated by a +/- operation. Because there is a + operation separating two terms (-x^6 and 7x^5), the expression is a binomial, meaning the expression has two terms.

The highest exponent or degree, present in the expression is to the power of 6. Therefore, the expression is in the sixth degree.

Taken together, the expression is a sixth-degree binomial.

Answer:

The correct answers are A B D

Step-by-step explanation:

hope this helped!