Solve the following matrix equations .
with full explanations and working please

The union of the sets D and E, denoted by the expression, D ∪ E where, set D = {2, 5, 7}, and the set E = {2, 4, 5, 6} is D∪E = {2, 4, 5, 6, 7}

A set comprises of a collection of members or elements which are objects in the set that together are taken as one object by itself.

The specified sets are;

D = {2, 5, 7}

E = {2, 4, 5, 6}

F = {1, 3, 4, 5, 7}

The union of two sets is the set of the elements in each of the set in the union, including the elements that are in both sets in the union.

The symbol used to indicate a union between two sets is the '∪'

The union of the set D and E is therefore;

D ∪ E = {2, 5, 7} ∪ {2, 4, 5, 6}

The elements in the union are therefore; 2, 2, 4, 5, 5, 6, 7

The numbers values are to be represented once in the set, such that the union of the set becomes; 2, 4, 5, 6, 7.

D ∪ E = {2, 4, 5, 6, 7}

The number of elements in the union of the set D and E is 5 elements, including 2, 4, 5, 6, and 7

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Answer:

you will have to pay 427.75 cents.

Step-by-step explanation:

Multiply 7.25 by 59.

Answer:

Undefined

Step-by-step explanation:

Knowledge Needed

Slope if is the constant change of the y-value when the x-value increases by 1 on a line.

Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Question

Plug in your points.

[tex]\frac{-19--3}{-8--8}[/tex]

[tex]\frac{-16}{0}[/tex]

Any number divided by 0 is undefined.

The slope is undefined. This means the line is completely vertical.

The logarithm bases can you use to solve for x in the exponential equation [tex]4^{3+x}[/tex]= 25 is log base 4. So, option 3 is correct.

Finding the slope (m) and y-intercept (b) of a line's graph will allow us to build a linear function with the formula y=mx+ b. We may build an exponential function of the form y=a+ bx given an exponential curve graph by locating the common ratio (b) and y-intercept (a) on the graph. If your function has the formula y = a + b x, where and are constants, a 0 and b > 0 and b 1, then it must be exponential. Your functions in quadratic equations were always to the second power. The exponent of exponential functions is a variable.

Given equation is  [tex]4^{3+x}[/tex]= 25

Applying logarithm with base 4 to both sides.

log   [tex]4^{3+x}[/tex]=log 25

(3+x)log 4=log25/log 4

3+x=log 25/log 4

x=(log 25/log4)-3

So, we use log base 4.

Hence, option 3 is correct.

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Answer:

a=14

b=166

c=166

d=166

e=166

f=14

x=5

29$ 16% of 25 is 4, so add it, and theres the answer

Step-by-step explanation:

Answer: 180cm^2

Step-by-step explanation:

The equation is  a^2 + b^2 = c^2

a^2 = area of square 3 = 80cm^2

b^2 = area of square 2 = 100cm^2

c^2 = a^2 + b^2 = 80 + 100 = 180cm^2

So answer is 180cm^2

Reason:

The scale factor 1.75 is what we'll multiply by each dimension of the blue figure, to get the green figure.

The "3" is multiplied by 1.75 to get 3*1.75 = 5.25 which is the value of x, since both involve the top side of each respective trapezoid.

In other words,

(preimage Length)*(scale factor) = (image length)

(3)*(1.75) = x

5.25 = x

x = 5.25

Answer:

£ 76

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Multiply 42 by 1/3 which is 14.

Then subtract 42-14 because your subtracting the discount from the original price which gives you 28.

Answer:

Sin(angle) = Opposite /  hypotenuse

Sin(x) = 5/14

X = arcsin(5/14)

x = 20.9

X = 21 degrees.

the answer is da da b!

Step-by-step explanation:

Answer: 47 mins

Step-by-step explanation:

18 min pulls weeds +  13min water + 16 min plant = 47 mins

The quadratic function defining the height of the firework in this problem after t seconds is given as follows:

h(t) = -4t² + 16t + 20.

From this definition, we can get the h-intercept giving the starting point of the firework, as follows:

h(0) = -4(0)² + 16(0) + 20 = 20 feet.

The height after 3 seconds is calculated with the numeric value as follows:

h(3) = -4(3)² + 16(3) + 20 = 32 feet.

The coefficients of the quadratic function are given as follows:

a = -4, b = 16, c = 20.

Due to the negative coefficient a, this is a concave down function, meaning that the vertex is a maximum point.

The t-coordinate of the vertex is given as follows:

tv = -b/2a = -16/2(-4) = -16/-8 = 2.

Then the maximum height of the firework is of:

h(2) = -4(2)² + 16(2) + 20 = 36 feet.

The firework hits the ground when h(t) = 0, hence, using a quadratic function calculator, the time is of:

5 seconds. (positive root).

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The geometry work number 6 has line MN parallel to line YX, line WY is parallel to line NX and line WX is parallel to line MO.

In geometry, parallel lines are straight lines that do not intersect or meet at any point.

Considering the triangle in the geometry work number 6,

the straight lines MN and YX can continue in same plene and will never meet at any point, so there are said to be parallel to each other.

the straight lines WY and NX can continue in their direction and will not intersect each other, so they are said to be parallel to each other.

and also, the straight lines WX and MO are parallel to each other because they can not intersect each other at any point.

Therefore, we can say that line MN is parallel to line YX, line WY is parallel to line NX and line WX is parallel to line MO.

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Answer: 6

Step-by-step explanation:

40x0.15

6 are teens

Using the unit conversion concept of mathematics and converting the length provided into various units , There are multiple ways to express 8 feet such as in inches, meter or kilometer and many more.

A unit is a reference value established by law or convention that is used as a benchmark to measure an object's physical characteristic.

By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.

l= 8 feet

In inches, l= 96 inches

In meter, l =2.43 meters

In kilometer, l = 0.0024 kilometers

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Using the unit conversion concept of mathematics and converting the length provided into various units , There are multiple ways to express 8 feet such as in inches, meter or kilometer and many more.

What do you mean by unit?

A unit is a reference value established by law or convention that is used as a benchmark to measure an object's physical characteristic.

What do you mean by unit conversion?

By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.
l= 8 feet
In inches, l= 96 inches
In meter, l =2.43 meters
In kilometer, l = 0.0024 kilometers

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The equation of the line passing through the given points and having slope -2/7 is obtained as y = -2/7m - 2.

A straight line can be written in the slope-intercept form as, y = mx + c.

In order to obtain the slope, the ratio of the difference of the coordinates are taken and c is the y-intercept which can be found by substituting x = 0 in the equation.

The given point and the slope for line are as (14,-6) and -2/7 respectively.

The general form of slope-intercept equation is as below,

y = mx + c

Substitute the value of x = 14, y = -6 and m = -2/7 to get,

-6 = -2/7 × 14 + c

⇒ c = -6 + 4 = -2

Thus, the equation can be written as follows,

y = mx + c

Substitute m = -2/7 and c = -2 to obtain,

y = -2/7x + (-2)

⇒ y = -2/7m - 2

Hence, the equation of the line is given as y = -2/7m - 2.

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dellana company tested 50 products for 75 hours each. during this time, it experienced four breakdowns. compute the number of failures per hour, 937.50 hours is the mean time between failures.

The span of time before something occurs or before a given time frame expires. We can utilise the current computers while waiting for the new ones to arrive next week.

Given that,

dellana company tested 50 products

time =75 hours

Thus, total products in hours

= 50 products × 75 hours each

= 3750 product hours

Also said that, 4 breakdowns in 3750 product hours,

so, (4/3750) = 1.067 × 10⁻³ = 0.001067 breakdowns per hour.

Also, an average of 0.001067 breakdowns per hour = λ

therefore, mean time between failures:

= 1/ λ

= 1/0.001067

= 937.50 hours

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1.716762 is the correct solution up to 6 decimal places by using Newton's method.

The Newton's method is a potent tool, and in general, the convergence is quadratic: as the procedure approaches the root, the discrepancy between the root and the approximation squares, almost doubling the number of accurate digits at each step. The approach does, however, have significant drawbacks. The phrase "Newton's method" refers to Isaac Newton's explanation of a particular application of the method in his books De analysi per aequationes numero terminorum infinitas, which he wrote in 1669 and had William Jones publish in 1711, and De metodis fluxionum et serierum infinitarum (written in 1671, translated and published as Method of Fluxions in 1736 by John Colson).

Given,

f(x)=eˣ+2x-9

f'(x)=eˣ+2

ˣₙ₊₁=ˣₙ-f(ˣₙ)/f'(ˣₙ)

Let, n=1

x₂=1.9074740

x₃=1.7299338

x₄=1.716825

x₅=1.7167621

x₆=1.716762

x₅≈x₆

Therefore, 1.716762 is the correct solution up to 6 decimal places.

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Answer:

47.21

Step-by-step explanation:

a=47.4

b=0.19

a – b

47.4 – 0.19

=47.21

The required proportional relationship is given as y = 3/2x.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
From the graph,
It seems that the relationship given is a proportional relationship,
Now locate two points on the graph, as (0, 0) and (2, 3)
The equation of the line function is given as,
y - 0 = [3 / 2] (x - 0)
y = 3/2x

Thus, the required proportional relationship is given as y = 3/2x.

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Answer:

6. 4/1  7. 4/2

Step-by-step explanation:

that's all I got I hope it helps.

Measure of angle I greater than angle K and J. Therefore, option D is the correct answer.

Given that, in triangle IJK, JK=18, KI=11, and IJ=14.

If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.

Here, JK is the longest side and KI is the shortest side

So, opposite to side JK, angle I is the biggest and opposite to the side KI angle J is the smallest

Here, the measure of IJ is greater than the side KI, then the angle K opposite to side IJ is greater than the angle J

Thus, m∠I>m∠K>m∠J

Measure of angle I greater than angle K and J. Therefore, option D is the correct answer.

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Answer: 5,1

Step-by-step explanation:

A) The equation of the model is 20x=100.

B) Todd will take 50 days  to build his savings up to a total of $250.

An assertion that two expressions containing variables or numerical values are equivalent is known as an equation. The first step in resolving a variable equation is to identify the values of the variables that lead to the equality being true. The variables that must be changed in order to solve the equation are referred to as the unknowns, and the unknown values that satisfy the equality are referred to as the equation's solutions.

1 day ------ $5

20 days -------?

x=20×5

x=$100

A) Let the savings per one day =$5

For 20 days it will be $100

And it is given as 20x=100

Where x=time in days

B) Todd has $150 dollars for 20 days

Actual savings for 20 days=100

? --------250

x=(20×250)/100

x=50 days.

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The equation that the speed of an object is speed = distance/time

From the question, we have the following parameters that can be used in our computation:

Parameter = Object

Argument = Speed

By definition, the speed of an object is the ratio of the distance moved by the object and the time travelled by the object

Mathematically, this can be represented as

Speed = Distance : Time

Express as fraction

Speed = Distance/Time

Hence, the equation is Speed = Distance/Time

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Answer:

b.) y=3x+2

Step-by-step explanation: The linear equation is y= mx + b

m is the slope and b is the y-intercept

Answer b is the linear equation!

Answer:

x=+1

Step-by-step explanation:

the value of x will be positive 1 for we will take x=0 y=-1 where we inter change the values to be x=y-1=0

The political hurdles that African American representatives have to face after they went into office is Racism.

Racism is the belief that different groups of humans have different behavioral traits that correspond to inherited characteristics and that they can be divided based on the superiority of one race over another.

Racism stems from the belief that a person is superior to others because of the color of their skin. In the olden days, blacks were excluded from public schools, denied the right to vote, and faced racism and legal discrimination almost everywhere. This is still faces in politics as well.

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