QUESTION FOR FOR LIH04

Answer: x = -3, 1/2

Step-by-step explanation:

Answer: 0.03, 0.243, 0.3, 0.42, 0.5

Step-by-step explanation:

Hope this helps you!

Answer:

Step-by-step explanation:

0.243, 0.03, 0.3, 0.42, 0.5

Answer:

D because all sides are equal

The number of pages in the book is given as follows:

58 pages.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the graph, two points are given as follows:

(2,48) and (8, 18).

When x increases by 6, y decays by 30, hence the slope m is given as follows:

m = -30/6

m = -5.

Hence:

y = -5x + b.

When x = 2, y = 48, hence the intercept b, representing the number of pages in the book, is given as follows:

48 = -10 + b

b = 58.

The graph is given by the image presented at the end of the answer.

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With her 5 3/5 gallons of paint, Latanya can paint up to 11 full bookcases.

Any value of the variable that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal is a solution to the problem. Solving an equation is locating its solution or solutions.

Let's first translate 5 3/5 gallons of paint into an incorrect fraction:

5 3/5 = (5 x 5 + 3)/5 = 28/5

Next, we can find the number of bookcases she can paint by dividing the total amount of paint by the amount needed for each bookcase:

28/5 ÷ 1/2

= 28/5 x 2/1

= 56/5

=11 1/5.

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The value of m <2 is C. 120°

In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.

In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.

Therefore,

m<2 = m<6

This is because they are corresponding angles

With this in mind, m<6 = 120°

Therefore, m<2 = 120°

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The function among all options is y=30.5(0.7)ˣ.

The graph of a function represents a set of all points in a plane. It helps to derive the nature of the function.

The function must satisfy the points that are given in the graph.

When x=0, y=21.35(0.7)ˣ=21.35(0.7)⁰=21.35.

But the given point is (0,30.5).

Hence, it cannot be the required function.

When x=0, y=30.5(21.35)ˣ=30.5(21.35)⁰=30.5.

When x=1, y=30.5(21.35)ˣ=30.5(21.35)¹=651.175.

But the given point is (1,21.35).

Hence, it cannot be the required function.

When x=0, y=30.5(1.3)ˣ=30.5(1.3)⁰=30.5.

When x=1, y=30.5(1.3)ˣ=30.5(1.3)¹=39.65

But the given point is (1,21.35).

Hence, it cannot be the required function.

When x=0, y=30.5(0.7)ˣ=30.5(0.7)⁰=30.5.

When x=1, y=30.5(0.7)ˣ=30.5(0.7)¹=21.35.

When x=2, y=30.5(0.7)ˣ=30.5(0.7)²=14.945≈14.95.

It satisfies all three given points.

Therefore, the required function is y=30.5(0.7)ˣ.

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The graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

What is inequality?

In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

The given graph is wrong for the given inequality  y ≤ 3x - 2

The correct graph for the given inequality is shown below.

The given graph would be correct for the inequality

y ≥ 3x - 2.

Hence, the graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

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If A, B, and C are n×n invertible matrices, then the solution for "x" in the equation "C⁻¹(A+X)B⁻¹ = Iₙ" is X = BC⁻¹ - A .

The Equation is ⇒ C⁻¹(A+X)B⁻¹ = Iₙ,

We first  multiply both sides by B and C to remove the inverses ;

⇒ C⁻¹(A+X)B⁻¹×BC = I×BC  ;

Simplifying, we get ;

⇒ C⁻¹(A+X)C = B ;

Next, we can multiply both sides by C⁻¹ to separate (A+X) ;

⇒ (A+X)C×C⁻¹= B×C⁻¹  ;

Simplifying, we get:

⇒ (A+X) = BC⁻¹  ;

Now , we subtract "A" from both sides, we get ;

⇒ X = BC⁻¹ - A  ;

So , the solution for X is : X = BC⁻¹ - A  . This solution exists because A, B, and C are all n×n invertible matrices, which means that their inverses exist and the product of invertible matrices is also invertible.

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The given question is incomplete , the complete question is

If A, B, and C are n×n invertible matrices, does the equation C⁻¹(A+X)B⁻¹ = Iₙ have a solution, X ? If so, find it.

Answer:

[tex]p(3and7)andq(1and9)[/tex]

On solving the provided question, we can say that Amount of commission = Total sales value x Rate of commission = 3,200

aggregate attempting to calculate the time required, total number or quantity. The quantity at hand or under consideration is incredibly energetic. the overall result, importance, or import. Principal, interest, and a third accounting. amounts, amounting, and amounted are word forms. flexible noun The quantity of something is how much there is, how much you have, how much you require, or how much you obtain. He requires that sum of money to get by.

[tex]Amount of commission = 3,200\\Total sales value = 80,000//[/tex]

Rate of commission = 4% on sales

Amount of commission = Total sales value x Rate of commission

Amount of commission = 80,000 x 4%

Amount of commission = 3,200

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In a case whereby there are 7213 applicants for the astronaut program only one half of the applicants which is about 3607 applicants will be accepted into the program​.

The concept that will be used here is multiplication. One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size.

The symbols for multiplication are cross (), asterisk (*), and dot (). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).

Total applicants =7213 applicants

Then one half of the applicants  = 1/2 of 7213

=7213/2

= 3607 applicants

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complete question:

There are 7213 applicants for the astronaut program only one half of the applicants which is about ______will be accepted into the program​

Number of candies that will be left with Jack is 1.375 pounds if the total candies were 5 pounds.

Subtraction can be done for any numbers or algebraic expressions.

It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be called as finding the difference.

Given that,

Total candies that Jack bought = 5 pounds

Candies given to trick or treaters = 3 pounds

Candies left = 5 - 3 = 2 pounds

Amount of candies ate = 10 ounces

16 ounces = 1 pound

10 ounce = 10 / 16 pounds = 0.625 pounds

Amount of candies ate in pounds = 0.625 pounds

Candies left = 2 - 0.625 = 1.375 pounds

Hence the amount of candies left is 1.375 pounds.

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Your question is incomplete. The complete question is given below.

Jack bought 5 pounds of Halloween candy. He gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy. How many ounces of Halloween candy does jack have?

Answer:

angle a = 122°

Step-by-step explanation:

since the opposite angles in a parallelogram are equal, therefore,

Angle a = angle c

therefore,

14x -4 = 15x - 13

-4 +13 = 15x - 14x

x = 9

therefore angle a = 14 x 9 - 4 = 122°

The time and distance of both the boys Jake and Ethan when they meet with each other is equal to 40 minutes after covering 5 miles.

Constant rate by which Jake run is equal to  8 minutes per mile.

Rate of Ethan longboard for first two miles = 5 minutes per mile

Rate of Ethan longboard for rest of the miles = 10 minutes per mile

Time taken by each of them is :

Miles       Time taken by Jake (minutes)       Time taken by Ethan(minutes)

1                    8 min                                                 5 min

2                   16 min                                                10 min

3                    24 min                                               20 min

4                    32 min                                               30 min

5                    40 min                                               40 min

6                     48 min                                               50 min

Therefore , time and distance at which Jake and Ethan  meet is equal to 40 minutes that is at 5 miles.

The above question is incomplete , the complete question is:

Jake will run at a constant rate of 8 minutes per mile. Ethan will longboard at rate of 5 minutes per mile for the first two miles then will slow down and longboard at a rate of 10 minutes per mile. Make two tables finding the times for each boys results for 1,2,3,4,5 and 6 miles.

Find out the time and distance at which both meet.

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The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

1/8

The probability of getting a head or a tail when flipping a coin is 1/2.  

Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.

The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.

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The value of x is 14

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organised in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

To find the mean, add up all the numbers and then divide by the number of numbers

(9+ 8+10+ x+14)/5 = 11

Multiply each side by 5

9+ 8+10+ x+14 = 55

Combine like terms

41 +x = 55

Subtract 41 from each side

x =14

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Keenan has placed his solar panel at an optimal angle.

The cosine law is a mathematical relationship between the sides and angles of a triangle. The cosine law states that:

cos(C) = (a² + b² - c²) / 2ab

where a, b, and c are the lengths of the sides of the triangle and C is the measure of one of the angles. This law can be used to find unknown side lengths or angle measures in a triangle when given the other values.

Check the attached image for labelling.

The angle we are trying to calculate is labelled C.

cos (C) = (20² + 18² - 19²) / (2*20*18)

cos (C) = 363/720

C = cos⁻¹(363/720)

C = 59.72°

Since the angle obtained is between 58° and 60°. Thus, Keenan has placed his solar panel at an optimal angle.

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Answer:

Step-by-step explanation:

If you are implying that the equation is "6x = 60"

Divide both sides by 6 to get just x by itself, then you'd have your answer.

X  = 10

Answer:

x = 1

Step-by-step explanation:

2(4x + 5) - 3 = 5x(2+1)

Distribute.

8x + 10 - 3 = 10x + 5x

Subtract 8x from both sides.

10 - 3 = 10x + 5x -8x

Solve

7 = 15x - 8x

7 = 7x

1 = x

1. The Venn diagrams are attached

2. When the statistics students number = 10·x + 3, we have;

The number of students that study

When the statistics students number = 2·x + 3, we have;

The number of students that study

The parameters given are;

Total number of students = 30

Number of students that study algebra n(A) = x + 10

Number of students that study statistics n(B) = 10·x + 3

Number of student that study both algebra and statistics n(A∩B) = 4

Number of student that study only algebra n(A\B) = 2·x

Number of students that study neither algebra or statistics n(A∪B)' = 3

Therefore;

The number of students that study either algebra or statistics = n(A∪B)

From set theory we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 10·x + 3 - 4 = 27

11·x+13 = 27 + 4 = 31

11·x = 18

x = 18/11

The number of students that study

a. Algebra

n(A) = 18/11 + 10 = 128/11

b. Statistic

n(B) = 213/11

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11

However, assuming n(B) = (2·x + 3), we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 2·x + 3 - 4 = 27

2·x+3 + x + 10= 27 + 4 = 31

3·x = 18

x = 6

Therefore, the number of students that study

a. Algebra

n(A) = 16

b. Statistics

n(B) = 15

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11

See the attached Venn Diagrams.

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Answer:

slope (m) is 4, y-intercept (m) is -3

Step-by-step explanation:

y=4x-3

use y¹-y² over x¹-x² to find slope, then use one of the points to fill in for x and y to find y-intercept

Sarah should blend 80.5 pounds of the high-quality beans and 39.5 pounds of the cheaper beans to make 120 pounds of blended coffee.

In this problem, we are given that Sarah Meeham needs to prepare 120 pounds of blended coffee beans to sell at a rate of $4.17 per pound. She plans to blend two types of coffee beans: a high-quality bean costing $5.25 per pound and a cheaper bean costing $2.00 per pound.

Let x be the number of pounds of the high-quality coffee beans needed and y be the number of pounds of the cheaper coffee beans needed. Since we need 120 pounds of the blended coffee, we have:

x + y = 120

The cost of the blended coffee is $4.17 per pound. This means that the total cost of the blended coffee is:

4.17(120) = 501.6

We can also find the cost of the high-quality and cheaper beans in terms of x and y:

5.25x is the cost of the high-quality beans

2.00y is the cost of the cheaper beans

The total cost of the two types of beans is the sum of their individual costs:

5.25x + 2.00y

Since we need 120 pounds of the blended coffee, we can set up the following equation using the above expressions for total cost:

5.25x + 2.00y = 501.6

Now, we can use the system of equations consisting of x + y = 120 and 5.25x + 2.00y = 501.6 to solve for x and y. One way to do this is by substitution:

x = 120 - y (from the first equation)

5.25(120 - y) + 2.00y = 501.6 (substituting x in the second equation)

Simplifying and solving for y, we get:

630 - 5.25y + 2.00y = 501.6

3.25y = 128.4

y ≈ 39.5

Now we can use this value of y to find x:

x = 120 - y

x = 120 - 39.5

x ≈ 80.5

Therefore, Sarah needs to blend approximately 80.5 pounds of the high-quality coffee beans and 39.5 pounds of the cheaper coffee beans to make 120 pounds of blended coffee that she can sell for $4.17 per pound.

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Las actividades de apertura son descripciones de diferentes relaciones geométricas. Aquí está la explicación de cada una:

a) Dos ángulos rectos tienen una medida de 90 grados.

b) Dos ángulos agudos tienen una medida menor a 90 grados.

c) Dos ángulos suplementarios suman a 90 grados.

d) Dos ángulos complementarios suman a 90 grados.

e) Dos rectas paralelas no se cruzan.

f) Dos rectas perpendiculares se cruzan en un ángulo recto de 90 grados.

g) Una recta transversal corta a dos o más rectas, creando ángulos en los puntos de intersección.

Dos ángulos rectos son dos ángulos que tienen una medida de 90 grados. En geometría, un ángulo recto es un ángulo que tiene una medida de 90 grados y se representa con una línea diagonal que forma cuatro cuartos iguales.

Los ángulos rectos son importantes en la construcción y el diseño, ya que permiten la creación de formas simples y precisas. Por ejemplo, dos ángulos rectos pueden ser utilizados para formar un cuadrado o un rectángulo, mientras que un ángulo recto y un ángulo agudo pueden ser utilizados para formar un triángulo rectángulo.

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The transformation that maps △UVW onto △U'V'W' is (d) 270 degrees counterclockwise

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

The figure

From the figure, we can see that

Triangle △UVW has the same side length as the triangle △U'V'W'

This means that

(x, y) = (x, y)

The orientations are 270 degrees apart in the counterclockwise direction

So, we have

(x, y) = (y, -x)

Hence, the transformation is (d)

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Answer: look at the image for the answer and the solution

Step-by-step explanation:

Answer: the home of it is 78 degrees

Step-by-step explanation:

as the angular bisector is shown then we can say that its right

The function f(x) = [tex]\left \{ {{x+1} ,for x \leq 2 \atop {2x-1}, for 1 < x < 2} \atop {x-1} , for x < 1 \right.[/tex] is continuous to all the values.

In mathematics, a function is a rule that assigns each element from one set (called the domain) to exactly one element of another set (called the range). The continuity of a function describes how smoothly it behaves as its input values change. In this context, we will analyze the continuity of the given function.

The given function is a piecewise function, which means it has different rules for different intervals of its domain. Let's analyze each interval separately to determine if the function is continuous or discontinuous.

For x less than or equal to 2, the function is f(x) = x + 1. This is a linear function, and we know that all linear functions are continuous everywhere. Therefore, the function is continuous for x less than or equal to 2.

For 1 < x < 2, the function is f(x) = 2x - 1. This is also a linear function, and as we said before, all linear functions are continuous. Therefore, the function is continuous for 1 < x < 2.

For x less than 1, the function is f(x) = x - 1. This is also a linear function and is continuous for all values of x less than 1.

Therefore, we can conclude that the given function is continuous for all values of x.

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The minimum number of hours life guarding that Daniel must work to meet his requirements = 12 hours

To the nearest whole number approximately:

If the digit following the decimal is less than 5, only the number preceding the decimal should remain unchanged.

Add one to the number before the decimal and eliminate the decimal part if the digit following the decimal is five or greater.

Given the information,

Babysitting pays Daniel $8 per hour, and life guarding pays him $15 per hour.

Daniel can only work a total of 18 hours per week and must make at least $200.

Daniel has been babysitting for three hours.

Daniel thus makes 3 x 8 = 24 dollars.

He has earned $200 - 24 = 176 dollars from the original $200.

Let's say Daniel was a lifeguard for m hours.

He therefore made m x 15 = 176.

15 × m = 176

m = 11.73

m ≈ 12 hours

So, the minimum number of whole hours = 12

This means, Daniel must work 12 hours lifeguarding to meet his requirements.

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