Faster please!! thank u!! If the length of side DF = 4 ft., what is the length of side GH?

Answer:

f(x) /x-3

Step-by-step explanation:

The evaluation of the inequalities are presented as follows;

2. x ≤ -5

3. x  ≤ -14

4. x ≤ 4

5. x < -10

An  inequality is an expression or comparison of two expressions that posses different values using an inequality sign.

2. -14·x + 1 ≥ 71

-14·x + 1 - 1 ≥ 71 - 1

-14·x  ≥ 70

x ≤ 70/(-14) = -5

x ≤ -5

3. -3·x - 1 ≥ 41

-3·x - 1  + 1 ≥ 41 + 1 = 42

-3·x - 1  + 1 ≥ 42

-3·x  ≥ 42

x ≤ 42/(-3) = -14

x ≤ -14

4. (x/2) + 11 ≤ 13

(x/2) + 11  - 11 ≤ 13 - 11  = 2

x/2  ≤ 2

x ≤ 2 × 2

x ≤ 4

5. x/(10) - 6  < -7

x/(10)  - 6 < -7

x/(10) -6 + 6 < -7 + 6 = -1

x/(10) < -1

x  < -10

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The retaining wall will need to have at least 32 rows of bricks to reach a height of at least 60 inches, not counting the initial 12-inch piece of stone.

Two or more expressions with an Equal sign is called as Equation.

The wall needs to be at least 60 inches tall, and we already have a 12-inch piece of stone, so we need to stack enough rows of bricks to reach a height of:

60 inches - 12 inches = 48 inches

Each row of bricks adds 1.5 inches to the height

we can divide the remaining height of 48 inches by the height of each row:

48/1.5 = 32 rows

Therefore, the retaining wall will need to have at least 32 rows of bricks to reach a height of at least 60 inches, not counting the initial 12-inch piece of stone.

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Answer:

X+15 is the answer..................

Using simple interest, The interest will be earned will be $144391.48.

Using the simple interest technique, which always adds interest at the same rate to the initial principal amount, is a quick and easy way to calculate interest on money. We will receive interest on our investment from any bank where we deposit our money. Simple interest is one of the various interest rates that banks impose. Now, before delving more into the concept of fundamental curiosity,

you want to have $300,000 for retirement in 30 years. Your account earns 4% interest.

Monthly interest rate, r = 4%/12 = 0.003333333333

n = 30 * 12 = 360

We need to deposit $432.2458864292 each month

b) Interest amount = 300,000 - 432.2458864292 * 360

Hence the interest will be earned will be $144391.48.

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Answer: 32 Ounces

Step-by-step explanation:

The container holds 32 ounces because if there are 2 pounds of peanuts, and 1 pound = 16 ounces, then you multiply 16 by 2.

16 x 2 = 32

The area of the larger triangle is 72cm²

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle. Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.

The large triangular figure below is composed of triangles with a base and height of 4 cm.

The area of small triangle is 1/2 base × height = 1/2 × 4 × 4 = 8cm²

There are 9 small triangles in the large one so the area will be 9 × 8 =72cm²

Hence the area of the larger triangle is 72cm².

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Answer:

a and b

Step-by-step ex

The length of the line of sight from the ship to Nicole is approximately 2046.1 feet, rounded to the nearest tenth.

Trigonometry is a branch of mathematics that studies the relationships between triangle sides and angles.

The term trigonometry is derived from the Latin derivative of the Greek words for triangle (trigonon) and measurement (measur) (metron).

Trigonometry is a branch of mathematics concerned with angle relationships and length ratios.

Let's assume that the distance between Nicole's window and Nick's position is "x" feet. Then, we can use trigonometry to set up the following equation:

tan(5) = (175 + 10) / x

Simplifying and solving for "x", we get:

x = (185) / tan(5)

x ≈ 2046.1 feet

Therefore, the length of the line of sight from the ship to Nicole is approximately 2046.1 feet, rounded to the nearest tenth.

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Answer: 6.5

Step-by-step explanation:

[tex]|-6.5| = 6.5[/tex]

_________

Answer:

Step-by-step explanation:

Square pyramid (since the base is a square)

Area base [tex]= 8^2=64mm^2[/tex]              (area of square)

Area each side [tex]= \frac{1}{2} base[/tex]×[tex]height[/tex]    (area triangle formula)

                          = [tex]\frac{1}{2}[/tex]×[tex]8[/tex]×[tex]10[/tex]

                          = [tex]40 mm^2[/tex]

Total area [tex]= 4triangles + square base[/tex]

                 [tex]=4[/tex]×[tex]40+64[/tex]

                 [tex]=224 mm^2[/tex]

The value of each variable in the triangle are:

x = 28 units

y = 7√6 units

z = 14√3 units

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Considering the upper triangle:

cos 45° = (14√2)/x

x = (14√2)/cos 45°

x = 28 units

hypotenuse =√((14√2)² + 28²) = 14√6 units

Considering the lower triangle:

The two triangles share the same hypotenuse.

Thus, hypotenuse = 14√6 units

sin 30° = y/hypotenuse

sin 30° = y/(14√6)

y = (14√6) * sin 30°

y = 7√6 units

cos 30° = z/hypotenuse

cos 30° = z/(14√6)

z = (14√6) * cos 45°

z = 14√3 units

Therefore, the value of each variable are x = 28 units, y = 7√6 units and z = 14√3 units.

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An equation can be solved by finding the value of the variables.

Solving an equation involves finding the value(s) of the variable(s) that make the equation true. The process for solving an equation depends on the type of equation and the specific instructions or conditions given.

1) 18 - a/16 = 17

18 - a = 16 * 17

18 - a = 272

a = 18 - 272

a = -254

2) 15 - n/-10 = -21

15 - n = (-21) * (-10)

15 - n = 210

n = 15 - 210

n = -195

3) 12 + y/-20 = 18

12 + y = 18 * (-20)

y = -372

4) c + 17/-26 = -5

c + 17 = (-5) (-26)

c = 113

5) 3c + 12 = 36

c = 36 - 12/3

c = 8

6) 1/5 f - 9 = -24

1/5 f  = -24 + 9

1/5 f = -15

f = -15 * 5

f = -75

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Answer:

24.6063 ft

Step-by-step explanation:

( N c ∩ D ) ∪ ( N ∩ D c ) This set represents the people surveyed who subscribe to exactly one of the two news sources given.

Surveyed means to gather information or feedback from a specific group of people through interviews, questionnaires, or other methods of data collection. Surveying can be used to gain insights into opinions, attitudes, and behaviors of a certain population or group. Surveying helps to provide information on topics such as public opinion, market research, and customer needs.

It is a combination of two sets, the first being the set of people surveyed who do not subscribe to The Daily Informer but subscribe to News Magazine, and the second being the set of people surveyed who subscribe to The Daily Informer but not to News Magazine.

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The value of the given expression √8/81 = 2√2/81.

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. The equation a a = b is true if 'a' is the square root of 'b'. Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2.

Given that,

√8/81

We can write the value of √8 = √(2)(2)(2) = 2√2.

Thus, we have the value of √8/81 = 2√2/81.

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By rewriting the 3 given systems, we will see that:

1) Independent and consistent.

2) Independent and inconsistent.

3) Dependent.

What is the system of equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Let's look at the first one, we can rewrite it as:

y = 2x + 3

y = -x - 3

So, the slopes are different, meaning that we have one solution, so this system is consistent and independent.

Now let's look at the second system, we can rewrite it as:

y = 3x - 2

y = 3x + 2

Here both lines have the same slope, so the lines never do intersect, meaning that the system is inconsistent and independent.

For the final system, we have:

y = (-1/2)×x + 2

y = (-1/2)×x + 2

Hence, we have two equal lines, so this system is dependent.

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The result is a statistic because it describes some characteristic of a sample (the 60 states).

what is statistics?

Statistics is the study of collecting, analyzing, and interpreting numerical data to make inferences and decisions. It involves techniques such as sampling, probability, hypothesis testing, and regression analysis to extract meaningful insights from data and make informed decisions based on them.

Solution:

The result is a statistic because it describes some characteristic of a sample (the 60 states).

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The correct statement regarding the sign of the function is given as follows:

A. The function is negative when x < 0.

We have to look at the graph of the function relative to the x-axis, as follows:

Hence the sign of the function for this problem is given as follows:

Meaning that option A is the correct option.

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This is not a fair game since P + Q is greater than 1. To make game fair, we can modify conditions for scoring points. One possible modification is to give Pietro a point if all three toss results match (HHH or TTT).

This gives Pietro an additional outcome to score a point, which makes the game fair. Another modification is to give Eva a point if any two toss results match (H-T-H, T-H-T, T-T-H, H-T-T, HHT, TTH, THT, HTT). This also makes the game fair since both players have 3 possible outcomes to score a point.

There are 2³ = 8 possible outcomes when a coin is tossed three times. We can list them as follows:

HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

Let E be the event that no two consecutive toss results match and let P(E) be the probability of event E. We can count the number of outcomes that satisfy E as follows:

HTH

HTT

THT

TTH

THT

TTT

Therefore, there are 6 outcomes that satisfy E and P(E) = 6/8 = 0.75.

Let P be the probability that Pietro scores a point and let Q be the probability that Eva scores a point. We can count the number of outcomes that satisfy each player's condition as follows:

Pietro: HHT, HTH, THH (3 outcomes)

Eva: H-T-H, T-H-T, T-T-H, H-T-T (4 outcomes)

Therefore, P = 3/8 and Q = 4/8 = 1/2.

The game is not fair since P+Q is greater than 1. This means that the players have a greater than 50% chance of scoring a point on each turn, so the first player to reach 10 points will have an advantage.

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The value of the function at x = -10, x = 2, and x = 5 will be 20,201, 17, and 1,226, respectively.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

f(x) = 2x⁴ + x² - 10x + 1

At x = - 10, the value of the function is given as,

f(-10) = 2(-10)⁴ + (-10)² - 10(-10) + 1

f(-10) = 20,201

At x = 2, the value of the function is given as,

f(2) = 2(2)⁴ + (2)² - 10(2) + 1

f(2) = 17

At x = 5, the value of the function is given as,

f(5) = 2(5)⁴ + (5)² - 10(5) + 1

f(5) = 1,226

The value of the function at x = -10, x = 2, and x = 5 will be 20,201, 17, and 1,226, respectively.

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Answer:

17m−5n)(17n−5m) when u expand it your answer would be −85m 2+314mn−85n 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A standard deck of cards has 52 cards, including 4 queens. If you are certain to get a queen when selecting 49 cards from a shuffled deck, it means that one of those 49 cards must be a queen, and the remaining 48 cards can be any of the remaining 48 cards in the deck.

So, the probability of selecting a queen from a shuffled deck of cards is:

probability = number of favorable outcomes / total number of possible outcomes

Since we are certain to get a queen, the number of favorable outcomes is 4 (the number of queens in the deck), and the total number of possible outcomes is 49 (the number of cards selected from the deck).

Therefore, the probability of selecting a queen is:

probability = 4/49

This fraction cannot be simplified any further. Since the probability value is between 0 and 1 inclusive, we can express the indicated degree of likelihood as a probability value of approximately 0.0816.

Answer:

y = −x2 + 2x −5

Step-by-step explanation:

To find the truth set of the equation 4x + 2 = 3(2x), we need to solve for x and then determine the values of x that make the equation true.

Starting with the equation:

4x + 2 = 3(2x)

Distribute the 3 on the right-hand side:

4x + 2 = 6x

Subtract 4x from both sides:

2 = 2x

Divide both sides by 2:

1 = x

Therefore, the truth set of the equation 4x + 2 = 3(2x) is {1}. In other words, the equation is only true when x is equal to 1.

The value of z in the circle is 2.3 units

In the question, the following statements represents the given parameters

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

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Each of these vertices, which together make up a full graph with five equation vertices, can be seen to be linked to the other four vertices in the subgraph.

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A formal statement that proves the equality of two calculations is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two phrases that are inscribed on opposite sides of a letter. Frequently, the logo and indeed the particular software are identical. like in 2x - 4 = 2, for example.

This graph is not planar because it has a subgraph that is isomorphic to the whole, non-planar graph with five vertices (K5).

K5 is a non-planar graph as it cannot be represented in a planar manner on a 2D plane without at least five crossing edges. This graph is also non-planar since K5 is a subgraph of it.

We may determine five vertices that make up a whole subgraph, for instance, vertices 1, 2, 3, 5, and 6, to demonstrate that this graph has K5 as a subgraph. Each of these vertices, which together make up a full graph with five vertices, can be seen to be linked to the other four vertices in the subgraph.

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Answer: (4,9)

Step-by-step explanation: The X is going to flip signs as you mirror across the y axis.

Answer:

Step-by-step explanation:

To find the measure of the central angle for the group that likes the student government program in a circle graph, we need to determine what proportion of the total number of students surveyed this group represents. We can do this by adding up the number of students who like the program and the number of students who think it is unnecessary, since these two groups represent the total number of students surveyed. Then we can divide the number of students who like the program by the total number of students surveyed and multiply by 360, which is the total number of degrees in a circle.

Total number of students surveyed = 190 + 135 + 220 = 545

Proportion of students who like the program = 190 / 545 ≈ 0.3486

So the measure of the central angle for the group that likes the program would be:

0.3486 x 360 ≈ 125

Therefore, the measure of the central angle for the group that likes the student government program would be approximately 125 degrees in a circle graph.

The value of the given function for x=4 is 82.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y+√x=5x+(x+4)².

Here, y=5x+(x+4)²-√x

f(x)=5x+(x+4)²-√x

Substitute x=4 in the function, we get

f(4)=5(4)+(4+4)²-√4

= 20+64-2

= 82

Therefore, the value of function is 82.

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