What number is 56% of 400? Show ALL of your work.

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Don't forget about the curly braces.

===========================================================

Explanation:

The upside down "U" symbol means "intersect". We're looking for where the two sets intersect or overlap. In other words, we're looking for all of the values are in both sets at the same time. It might help to draw out the Venn diagram (see the image attachment below).

The numbers 4, 14, and 20 are found in both set A and set B at the same time. Therefore, \(A \cap B = \{4, 14, 20\}\). Something like the value 7 is only found in set A, but not in set B. So we'll ignore that value. Similar things happen with 10 and 17 for set A, and also 1 and 9 for set B.

So that's why the answer you type in is {4, 14, 20}. The curly braces are there to tell the reader we're dealing with a set of values.

Answer:

x = 26

Step-by-step explanation:

x and 64 are complementary angles so their sum is 90

x+64 = 90

x = 90-64

x = 26

Answer:

26

Step-by-step explanation:

90-64=26

~~~~~~~~~~

The students that will like exactly one of the two sports out of football and baseball is 200.

These are the fundamental set of set theory formulas. When there are two sets P and Q, the number of elements in one of the sets P or Q is denoted by n(P U Q). The number of elements in both sets P and Q is represented by the expression n(P ⋂Q). n(P U Q) is equal to n(P) + n(Q) - n (P Q).

Here,

F=140

B=144

F∩B=42

F-B=n(F)-n(F∩B)

=140-42

F-B=98

B-F=n(B)-n(F∩B)

=144-42

=102

So, the students that will like exactly one of the two sports,

=102+98

=200

There are 200 students who will only enjoy one of the two sports—football or baseball.

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Answer:

22 m

Step-by-step explanation:

The computation of the how much far does the boat travel is as follows:

sin 43 degrees = 15 ÷ d

d = 15 ÷sin 43 degrees

= 15 ÷ 0.6820

= 21.99

= 22 m

Hence, the how much far does the boat travel is 22 m

We simply applied the above formula so that the correct value could come

The same is to be considered

Answer:

2/3

Step-by-step explanation:

The greatest common factor is 5 because it can divide two of them. When you divide 10/15, it becomes 2/3.

The statement "If x is a nontrivial solution of Ax=0​, then every entry in x is nonzero" is False.

A nontrivial solution means that there is at least one nonzero entry in x. However, it doesn't imply that every entry in x must be nonzero. It's possible to have a mixture of nonzero and zero entries in a nontrivial solution.

If x is a nontrivial solution of Ax=0, it means that x is a nonzero vector in the null space of A. This implies that A x = 0, which means that the linear combination of the columns of A given by x results in the zero vector.

However, this does not necessarily mean that every entry in x is nonzero. For example, consider the matrix A given by:

A = [1 0 1;

0 1 1;

1 1 2]

The null space of A contains the vector x = [-1; 1; 1], which is a nontrivial solution of Ax = 0. However, this vector has one entry that is zero and two entries that are nonzero.

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Answer:

36/6

Step-by-step explanation:

12 x 3= 36.

2 x 3= 6.

Answer:

C. \(\frac{36}{6}\)

Step-by-step explanation:

Answer:

8x^2-4x-15

Step-by-step explanation:

To find the sum of the functions, we add them together:

f(x) + g(x) = (5x + 4) + (3x² - 9)

Simplifying, we get:

f(x) + g(x) = 3x² + 9x - 5

Therefore, the sum of the functions is 3x² + 9x - 5, which is option D.

Answer:

-9+x=-20

Step-by-step explanation:

I am not so positive on this one, but if you are not doing inequalities, then this should be correct.

"More than" would insinuate that you are adding. In this class, you would have a number to replace that x, but since no number was given, you place the x in its place. x=-11, because when you "add" -9 with something to get -20, it would have to be -11. Negative numbers can be confusing because when you subtract a negative number by another negative, you end up with a negative. Like in this case. Normally, you would just put -11, so it would look like -9 - 11 = -20. But since this says "more than", unless you are doing inequalities, you add.

If you are doing inequalities, then your answer should be this:

-9 > x = -20

I hope this helps!

-No one

The value of 6D - 2C  after evaluating from given matrix is

{44 -46 36

  22 32 44

 -64 18 -10}

The given matrices are:

C={2 -1 0;

4 -4 2; 8 6 8} and D={8 -8 6; 5 4 8; -8 5 1}.

To compute 6D - 2C, we must find out the product of each matrix by their corresponding constants as follows:

6D = 6×{8 -8 6; 5 4 8; -8 5 1}

= {48 -48 36; 30 24 48; -48 30 6}2C

= 2×{2 -1 0; 4 -4 2; 8 6 8}

= {4 -2 0; 8 -8 4; 16 12 16}

Now,

6D - 2C = {48 -48 36; 30 24 48; -48 30 6} - {4 -2 0; 8 -8 4; 16 12 16}

= {48 -48 36; 30 24 48; -48 30 6} + {(-4) 2 0; (-8) 8 (-4); (-16) (-12) (-16)}

= {44 -46 36; 22 32 44; -64 18 -10}

Therefore, 6D - 2C =  {44 -46 36

                                     22 32 44

                                    -64 18 -10}

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To find a closed-form expression for I(n), we can analyze the pattern and derive a formula based on the given examples.

Let's observe the values of I(n) for various values of n:

I(2) = 1

I(3) = 1

I(4) = 3

I(5) = 5

I(6) = 5

I(7) = 7

I(8) = 1

I(9) = 3

I(10) = 5

From the examples, we can see that I(n) repeats a cycle of 1, 3, 5, 7 for every group of four consecutive numbers. The cycle begins with 1 and continues by adding 2 to the previous number.

Based on this observation, we can define a formula for I(n) as follows:

I(n) = 1 + 2 * ((n - 2) mod 4)

Explanation:

- (n - 2) represents the number of elements after eliminating the first element.

- (n - 2) mod 4 determines the position of the remaining element in the cycle (0, 1, 2, or 3).

- Multiplying by 2 gives the increment by 2 for each element in the cycle.

- Adding 1 gives the initial value of 1 for the first element in each cycle.

Using this formula, we can calculate I(n) for any given value of n.

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Answer:

The correct answer is -

x+2y = 23

2x+3y= 39

Step-by-step explanation:

given:

cost of family 1 = 23

number of adults in family one = 1

number of children = 2

cost of family 2 = 39

number of adults in family 1 = 2

number of children = 3

solution:

for the first condition of family one-

In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then

number of adults*x+number of children*y = total cost

1*x + 2*y = 23

x+2y= 23 .......equation 1.

for family two:

In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then

number of adults*x+number of children*y = total cost

2*x + 3*y = 39

= 2x+3y = 39....... equation 2

thus, the correct equations are:

x+2y = 23

2x+3y= 39

Answer:

x-3

Step-by-step explanation:

martin =  x

jennifer = x-3

connor = 2x

what is jennifer's age?

you're ordered to attempt to memorize a series of images. there are 15 images in the series. when you are asked to state the order of the images you remember the first 3 and then it starts to get fuzzy. This is an example of memory retrieval.

What do you mean by series?

The total of a particular sequence of terms is known as a series in mathematics. These phrases often refer to real or complex numbers, though considerably more generality is possible.

In calculus and its generalization, mathematical analysis, the study of series plays a significant role. Most mathematical disciplines employ series, including combinatorics, where generating functions are employed to explore finite structures.

Along with being widely utilized in mathematics, infinite series are also frequently employed in other quantitative fields like physics, computer science, statistics, and finance.

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Learn how to support someone who is depressed while keeping your own life on track.

Answer:

Okay..... Yeah..... That's hard.....

Best option is dropping out.....

Step-by-step explanation:

Mean= Sum of all the numbers/ Total numbers

So,

29+58+15+129+75+22=328/6

= 54.666666667 Answer

Answer:

$46.90

Step-by-step explanation:

29+58+15+129+75+22=328

328/7=46.85...

rounded: $46.90

Carl Friedrich Gauss, the "Prince of Mathematicians," made groundbreaking contributions to number theory, geometry, physics, and statistics, leaving a lasting impact on the field of mathematics.

We have,

Carl Friedrich Gauss, known as the "Prince of Mathematicians," made significant contributions to number theory, geometry, physics, and statistics.

He formulated the fundamental theorem of arithmetic, developed concepts in differential geometry such as intrinsic curvature and Gaussian curvature, and formulated Gauss's law for electric fields.

Gauss's work laid the foundation for modern mathematics and his emphasis on rigor and precision influenced subsequent generations of mathematicians.

His legacy as one of the greatest mathematicians of all time is based on his profound theorems, laws, and concepts that continue to shape the field.

Thus,

Carl Friedrich Gauss, the "Prince of Mathematicians," made groundbreaking contributions to number theory, geometry, physics, and statistics, leaving a lasting impact on the field of mathematics.

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Given:

The coordinates of the given point are K(-2,3).

To find:

The coordinates of K' after a 90° clockwise rotation about the origin.

Solution:

We know that, if a figure rotated 90° clockwise about the origin, then the rule of rotation is defined as

\((x,y)\to (y,-x)\)

Using this rule, we get

\(K(-2,3)\to K'(3,-(-2))\)

\(K(-2,3)\to K'(3,2)\)

The coordinates of point K' are (3,2).

Therefore, the correct option is C.

The option c is correct. The next step she will do multiply the numerator and denominators and then simplify.Then she will solve all equation and find result.

An equation which has an unknown in the denominator of one or more terms.They often have variables in the numerator as well.since fractions can be in the ratios.We can recognize fraction by slash that is written between numbers and variables.

An expression is a combination of symbols that are formed in accordance with dependent rule.In math, expression consist of at least two numbers or variables and at least one arithmetic operation.it is possible to multiply,divide,subtract and add.

Now we solve given problem

1/x^2 - 2/y divide y-2x^2

step 1; y/x^2y - 2x^2/x^2y divide y-2x^2

step2;y-2x^2/x^2y divide y-2x^2

step 3; y-2x^2/x^2y divide y-2x^2

Next step she would be multiply the numerators and denominators.

so we have

y-2x^2/ (x^2y)(y-2x^2)

since y-2x^2 is common in the numerator and denominator. so it divides itself.thus resulr will be 1/ x^2y

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2a plus 6 equl eight i hink so

Answer:

Solve the given system first

Find b:

Find a:

Verify the options for correctness:

Answer:

Step-by-step explanation:

Measure of one angle= 96

one angle= 2x

other angle= x + 12

By using angle sum property, we know that sum of all angles in a triangle is 180 degree.

so,

96 + 2x + x+12 = 180

108 + 3x = 180

3x = 180 - 108

3x = 72

x = 72/3

x = 24

So,

one angle (2x) = 2 * 24

                        = 48

other angle ( x + 12 ) = 24 + 12

                                  = 36

Hence, the other two degree measures for the missing angles is \(36\).

What is the angles?

Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.

The point at which the two rays meet (intersect) is called the vertex.

Here given that,

One measure of an angle in a triangle is \(96\) degree. The other two angle measures are represented by \(2x\) and \(x + 12\).

So,

Measurement of one angle= \(96\) degree

One angle= \(2x\)

Other angle= \(x + 12\)

As we know that sum of all angles in a triangle is \(180\) degree.

So,

\(96 + 2x + x+12 = 180\\\\108 + 3x = 180\\\\3x = 180 - 108\\\\3x = 72\\\\x = \frac{72}{3}\\\\x = 24\\\\\)

So,

One angle  is

\((2x) = 2 (24)\\=48\)

Other angle is ( x + 12 ) = 24 + 12

\(( x + 12 ) = 24 + 12\\=36\)

Hence, the other two degree measures for the missing angles is \(36\).

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Answer: x-intercept(s): (7/5, 0)

Y intercept(s): (0,−7)

The provided remark indicates that option (D) is the appropriate choice. θ = 4π, 5π, 6π, and 7π

For instance, a range between 0 and 10 would include all of the integers between them, not just 1, 2, 3, 4, 5, 6, 7, 8, and 9. These would also include parts like 1/10 and decimal values like 1.3.

The sin function has a value of 0 at the zeros of the function, which occur at integer multiples of π. Therefore, to find the values of θ for which y = sin θ is equal to 0 in the interval 4π ≤ θ ≤ 7π, we need to find the integer multiples of π within this interval.

The first integer multiple of π within this interval is 4π, since:

4π ≤ θ ≤ 7π

The next integer multiples of π are:

5π, 6π, and 7π

Since the interval ends at 7π, we only need to consider values of θ up to 7π. Therefore, the values of θ for which y = sin θ is equal to 0 in the interval 4π ≤ θ ≤ 7π are:

θ = 4π, 5π, 6π, and 7π

These are the values of θ at which the sine function is equal to 0 in the given interval.

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The Total Proability will be 297 / 1015

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Total Number of Regular Soft Drinks = 18

Total Number of Diet Soft Drinks = 12

Total Drinks = 18 + 12 = 30

Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the first and last attempt = 12/30  * 18/29 * 11/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the second and last attempt = 18/30  * 12/29 * 11/28 = 2376 / 24360

Total Probability = 3 * 2376 / 24360

Total Probability = 2376 / 8120

Total Probability = 297 / 1015

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The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Ratio compares two things. The area of the room, in reality, is 23.52 m².

Scale ratio compares the length on the map with the length in the reality.

Given to us

Length on the map, L = 12 cm = 0.12 m

Width on the map, w = 4 cm = 0.04 m

Scale model uses a scale in which 2 centimeters represent 1.4 meters.

As it is given to us the scale model uses a scale in which 2 centimeters represents 1.4 meters. therefore,

\(\rm \dfrac{Scale\ Model}{Reality} = \dfrac{0.02}{1.4}\)

Length in the reality,

\(\rm \dfrac{L}{L'} = \dfrac{0.02}{1.4}\\\\\rm \dfrac{0.12}{L'} = \dfrac{0.02}{1.4}\\\\L' = 8.4\ m\)

Width in reality,

\(\rm \dfrac{W}{W'} = \dfrac{0.02}{1.4}\\\\\rm \dfrac{0.04}{W'} = \dfrac{0.02}{1.4}\\\\W' = 2.8\ m\)

The area of the room in reality,

A = L' x W'

A = 8.4 x 2.8

A = 23.52 m²

Hence, the area of the room, in reality, is 23.52 m².

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Answer:

7/50 = x/75

x = 10.5

therefore he would run 10.5 miles in 75 minutes

Answer:

In 75 minutes, she runs (7/50) x 75 = 10.5.

She runs 10.5 miles in 75 minutes.

Step-by-step explanation:

Answer: 0.9973 .

Step-by-step explanation:

Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.

Let X denotes the random variable that represents the weights of students .

Then, the probability that a student drawn at random will weigh less than 150 lbs will be :

\(P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}]\)

Hence, the e=required probability is 0.9973 .