Help with my school work, I spend 80 points on this question. I will give brainiest for correct answer.

If 1 + 2 = 3, then why does 4 + 5 not = 6?
And if 2 x 2 = 4, then why does 4 x 4 not = 8?

Answer:

The answer is 5

Step-by-step explanation:

c²=3²+4²

c²=9+16

c²=25

[tex] \sqrt{ {c}^{2} } = \sqrt{25} [/tex]

c=5

The value of c is :

↬ c = 5, c = -5

Solution:

First off, we should square the numbers:

[tex]\sf{3^2+4^2=c^2}[/tex]

[tex]\sf{9+16=c^2}[/tex]

[tex]\sf{25=c^2}[/tex]

Now I square-root each side :

[tex]\sf{5=c}[/tex]

[tex]\sf{-5=c}[/tex]

This means that :

[tex]\sf{c=5,\:c=-5}[/tex]

How did this happen? We should know that once we take the square root of a number, we end up with two solutions that are opposites of each other. This phenomenon is explained below.

When we square 5, we get 25. When we square -5, we also get 25.

So then, when taking the square root of 25, we get both 5 and -5. And now, we know why.

Answer:

Step-by-step explanation:

Due to isosceles triangle , ∠ABC = ∠ACB = 7x

∠ACB + ∠ACD = 180  (  Linear pair I think )
7x + 110 = 180
7x = 70

x = 10°

37 million can be written as 3.7 × 10⁶ in the power of ten exponent notation.

In scientific notation, a number is written as the product of a coefficient and a power of ten.

To convert 37 million to scientific notation, we need to move the decimal point to the left until we have a number between 1 and 10.

Starting with 37 million, we can move the decimal point six places to the left to obtain the number 3.7:

= 37,000,000 -> 3.7

Now, we express this number as a product of the coefficient (3.7) and 10 raised to the power of the number of places we moved the decimal point.

In this case, since we moved the decimal point six places to the left, the exponent of ten is 6:

37 million = 3.7 × 10⁶

Therefore, 37 million can be written as 3.7 × 10⁶ in the power of ten exponent notation.

Learn more about Scientific Notation here:

https://brainly.com/question/19625319

#SPJ1

To find the measure of angle AB, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Given:

Angle A = 65 degrees

Angle B = 91 degrees

We can subtract the sum of these two angles from 180 degrees to find angle AB:

Angle AB = 180 - (Angle A + Angle B)

Angle AB = 180 - (65 + 91)

Angle AB = 180 - 156

Angle AB = 24 degrees

Therefore, the measure of angle AB is 24 degrees.

The values of a and b are a = -3 and b = 42. The solutions for x can be written as:

x = -3 - √42

x = -3 + √42

To solve the quadratic equation 2x² + 12x = 66 by completing the square, we need to follow these steps:

Step 1: Move the constant term to the right side:

2x² + 12x - 66 = 0

Step 2: Divide the equation by the leading coefficient (2):

x² + 6x - 33 = 0

Step 3: To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation:

x² + 6x + (6/2)² = 33 + (6/2)²

x² + 6x + 9 = 33 + 9

x² + 6x + 9 = 42

Step 4: Rewrite the left side as a perfect square:

(x + 3)² = 42

Step 5: Take the square root of both sides:

√(x + 3)² = ±√42

x + 3 = ±√42

Step 6: Solve for x:

x = -3 ± √42.

For such more questions on Solutions:

https://brainly.com/question/24644930

#SPJ11

The equation of the graph in the required form is y = 5|x| - 5

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

The graph (see attachment)

The graph is an absolute value graph

And it can be expressed in the form of y = a|x – h| + k

Where

Vertex = (h, k)

The vertex of the graph is (0, -5)

So, we have

y = a|x| - 5

Using the point on the graph, we have

a|1| - 5 = 0

So, we have

a = 5

This means that the equation of the graph is y = 5|x| - 5

Read more about absolute value function at

https://brainly.com/question/10538556

#SPJ1

The probability of event W occurring given that event R has occurred is 6/19. Among the given answer choices, the correct probability is 6/19.

To find P(W|R), we can use the conditional probability formula:

P(W|R) = P(W & R) / P(R)

Given that P(R) = 1/3 and P(R & W) = 2/19, we can substitute these values into the formula:

P(W|R) = (P(R & W)) / P(R) = (2/19) / (1/3)

To divide by a fraction, we can multiply by its reciprocal

P(W|R) = (2/19) * (3/1) = 6/19

Therefore, the probability of event W occurring given that event R has occurred is 6/19.

Among the given answer choices, the correct probability is 6/19.

To learn more about probability :

https://brainly.com/question/24756209

#SPJ11

The probability that the mean of the sample will be between 94.7 inches and 95.3 inches is approximately 0.436.

Using the Central Limit Theorem.

The Central Limit Theorem states that for a large enough sample size, the distribution of sample means will be approximately normally distributed, regardless of the shape of the population distribution. In this case, we have a sample size of 30, which is considered large enough for the Central Limit Theorem to apply.

Calculate the standard error of the mean (SEM):

SEM = σ / √n

SEM = 0.52 / √30

SEM ≈ 0.095

Calculate the z-scores for the lower and upper limits:

z1 = (94.7 - μ) / SEM

z2 = (95.3 - μ) / SEM

z1 = (94.7 - 95) / 0.095 ≈ -0.526

z2 = (95.3 - 95) / 0.095 ≈ 0.316

Find the area under the normal distribution curve between the z-scores using a standard normal distribution table or a calculator. The area represents the probability.

Using a standard normal distribution table or a calculator, the area between -0.526 and 0.316 is approximately 0.436.

Therefore, the probability that the mean of the sample will be between 94.7 inches and 95.3 inches is approximately 0.436.

Learn more about probability  at https://brainly.com/question/13604758

#SPJ1

In the given data, current and voltage are directly proportional, while the resistance is constant.

The relationship between the voltage, current, and resistance in an electric circuit is described by Ohm's Law.

The law states that the voltage across a circuit is directly proportional to the current flowing in the circuit.

V ∝ I

V = IR

where;

From the given data set we can see that for each division of current by voltage we have almost a constant value of 30 ohms.

Thus, if we observe the values given in the data set, we can conclude that;

current and voltage are directly proportional, while the resistance is constant.

Learn more about current-voltage here: https://brainly.com/question/24858512

#SPJ1

Answer:

20 square feet

Step-by-step explanation:

area of a triangle = (1/2) base x height

The "base" for this one gigantic triangle is the 'top' of the diagram - - - - it's the entire 3+7 = 10 side. (We can calculate the area of the whole thing at once. We don't have to do the left and the right halves separately!!!)

The height is 4.

So area = (1/2) base x height

= (1/2) * 10 * 4

= 20 square feet

The area of the rectangular shaped kitchen floor is A = 96 feet²

Given data ,

The side length of each tile is 2ft, then the area of each tile is:

Area of a tile = side x side = 2ft x 2ft = 4 sq ft

Since there are 6 rows of tiles, each row has 4 tiles, therefore the total number of tiles is:

Total number of tiles = 6 x 4 = 24 tiles

So, the total area covered by the tiles is:

Total area covered by tiles = Area of a tile x Total number of tiles

= 4 sq ft/tile x 24 tiles

= 96 sq ft

Hence , the area of the kitchen floor is 96 feet²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ1

To determine whether there is a difference of opinion between doctors and nurses regarding a new postoperative procedure, the researcher conducted a survey and tabulated the data in a table form. The next step is to analyze the data using statistical methods and a significance level of 5%.

To begin the analysis, the researcher can use a statistical test such as the chi-square test for independence. This test will examine whether there is a significant association between the opinions of doctors and nurses regarding the procedure.

The chi-square test will compare the observed frequencies in each category (e.g., doctors who feel differently, doctors who feel the same, nurses who feel differently, nurses who feel the same) with the frequencies that would be expected if there was no association between the profession and opinion.

If the calculated chi-square value exceeds the critical value at a significance level of 5%, it suggests that there is a significant difference in opinion between the two groups.

The researcher should calculate the chi-square value, degrees of freedom, and compare it to the critical value from the chi-square distribution table.

If the calculated chi-square value exceeds the critical value, the researcher can conclude that there is a significant difference of opinion between doctors and nurses regarding the postoperative procedure.

It is important to note that statistical significance does not imply practical significance. Even if there is a significant difference, the magnitude of the difference should be considered in the context of the study.

For more such questions on postoperative,click on

https://brainly.com/question/28402845

#SPJ8      

Except You can invest your 401(k) into a wider variety of asset types than you can with an IRA. All are the advantages. Option B

A) You don't pay taxes on your investments' growth each year: One of the main advantages of a 401(k) plan is the tax advantage it provides.

Contributions to a traditional 401(k) are made on a pre-tax basis, meaning that the money you contribute is not subject to income tax. Additionally, the growth of investments within the 401(k) account is tax-deferred until you make withdrawals in retirement.

C) Your employer may match some of your 401(k) contributions: Many employers offer a matching contribution to their employees' 401(k) plans. This means that for every dollar you contribute to your 401(k), your employer will contribute a certain percentage, up to a specified limit.

D) You can contribute more money into a 401(k) than into an IRA: 401(k) plans generally allow for higher contribution limits compared to Individual Retirement Accounts (IRAs).

In 2021, the annual contribution limit for a 401(k) is $19,500 (with an additional $6,500 catch-up contribution for individuals aged 50 or older).

In contrast, the annual contribution limit for an IRA is $6,000 (with an additional $1,000 catch-up contribution for individuals aged 50 or older). The higher contribution limits of a 401(k) allow individuals to save more for retirement on a tax-advantaged basis.

In summary, the correct answer is B. The ability to invest in a wider variety of asset types is not an advantage of a 401(k) plan. However, the other options listed (A, C, and D) are all advantages of a 401(k) plan.

For more such questions on invest visit:

https://brainly.com/question/29227456

#SPJ11

Based on this graph, a measurement which represent the best estimate for the mean length of bass in the lake include the following: 17 inches.

In Mathematics and Statistics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean of a data set can be calculated by using the following formula:

Mean = [F(x)]/n

By critically observing the graph (histogram) shown in the image attached below, we can logically deduce that the distribution is symmetrical. This ultimately implies that, the mean length of bass in the lake would be in the middle, with an estimated value of 17 inches.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Complete Question:

A university professor and his students did a study to determine the mean length of bass in a lake. Each time a bass was caught, its length was measured in inches, and then it was released. The distribution of the lengths is shown in the graph below. Based on this graph, which measurement represents the best estimate for the mean length of bass in the lake?

12 inches

17 inches

20 inches

23 inches

The expression x = (2 ± √(-12)) / 2 is negative, this quadratic equation does not have real solutions.

The quadratic formula, we need the quadratic equation in the form ax^2 + bx + c = 0. The given equation is x^2 + 1 = 2x - 3. To set it up correctly, we need to move all terms to one side of the equation to have a zero on the other side.

Rearranging the equation, we get x^2 - 2x + 4 = 0. Now we can identify the coefficients a, b, and c.

The correct expression to set up the quadratic formula is:

B) x = (-b ± √(b^2 - 4ac)) / (2a)

For the equation x^2 - 2x + 4 = 0, we have:

a = 1

b = -2

c = 4

Plugging these values into the quadratic formula, we have:

x = (-(-2) ± √((-2)^2 - 4 * 1 * 4)) / (2 * 1)

Simplifying further, we get:

x = (2 ± √(4 - 16)) / 2

x = (2 ± √(-12)) / 2

Since the expression inside the square root is negative, this quadratic equation does not have real solutions.

To know more about Square root .

https://brainly.com/question/428672

#SPJ11

Note the full question may be :

Consider the quadratic equation 2x^2 + 5x - 3 = 0. Which expression correctly sets up the quadratic formula?

A) x = (-b ± √(b^2 - 4ac)) / (2a)

B) x = (-b ± √(b^2 + 4ac)) / (2a)

C) x = (-b ± √(4ac - b^2)) / (2a)

D) x = (b ± √(b^2 - 4ac)) / (2a)

Without this information, it is not possible to determine if the sample accurately represents the overall distribution of eggs at the farmers' market.

It is impossible to say if the sample of eggs at the farmers' market is likely to be representative based on the information supplied. Jackson appears to have bought 17 eggs from each farmer, which suggests that he did so in an equal amount. It does not, however, provide data on the total number of farmers present at the market or their overall distribution of eggs.

Additional data, such as the total number of farmers present at the market, the average number of eggs each farmer generally has, and the variability in the number of eggs among the farmers, would be required to evaluate the sample's representativeness.

Learn more about sample space here:

brainly.com/question/30206035

#SPJ1

Answer:

7/10

Step-by-step explanation:

[tex]1 - \frac{3}{10} \\ = \frac{10}{10} - \frac{3}{10 } \\ = \frac{7}{10} [/tex]

The result of the expression (A ∩ B) - C is [-2, 5] U [13, 18] is [-2,5,13,18].

To find the result of the expression (A ∩ B) - C, where A, B, and C are sets, we need to perform the following steps:

Given the sets:

A = < - 7, 5 ] U [10, 18 >

B = [ - 2, 8 > U < 13, 23 >

C = < 1, 15 >

1.Find the intersection of sets A and B (A ∩ B):

2. Subtract set C from the intersection (A ∩ B):

Subtracting set C = <1, 15> from the intersection [-2, 5] U [13, 18] means removing any elements that are present in set C from the intersection.

Since set C = <1, 15> does not overlap with either [-2, 5] or [13, 18], the subtraction (A ∩ B) - C results in the same set as the intersection:

(A ∩ B) - C = [-2, 5] U [13, 18].

for similar questions on expression.

https://brainly.com/question/723406

#SPJ8

In mathematics, notation is used to simplify and make our understanding of equations and problem statements easier.

Mathematical notation makes use of various symbols in order to represent operations, unspecified numbers, relations, and any other mathematical objects or entities, and proceeds to assemble them into understandable expressions and formulas.

A notational convention is a set of representatives consisting of symbols that are used to express mathematical equations, in this case, the notational convention adopted is that all the free variables of a formula are among u1, u2, u3 . . . un. as shown in the image provided.

To know more about notation, visit :

https://brainly.com/question/30879543

The total cost of materials needed to build the house is $4374.75.

Calculate the area of the front and back of the house.

Area = Length x Width

Area = 3.5 m x 2.5 m = 8.75 m²

Calculate the area of the sides of the house.

Area = 2 x Length x Height

Area = 2 x 3.5 m x 5 m = 35 m²

Calculate the total cost of glass.

Cost of glass = Area x Cost per square meter

Cost of glass = 8.75 m² x $37 / m² = $323.75

Calculate the total cost of roof tiles.

Cost of roof tiles = Area x Cost per square meter

Cost of roof tiles = 35 m² x $95 / m² = $3325

Calculate the total cost of reinforcement metal.

Cost of reinforcement metal = Perimeter x Cost per meter

Cost of reinforcement metal = 2 x (Length + Width) x $54 / m = $726

Add the costs of glass, roof tiles, and reinforcement metal to get the total cost of materials.

Total cost = $323.75 + $3325 + $726 = $4374.75

Therefore, the total cost of materials needed to build the house is $4374.75.

Find out more on total cost here; https://brainly.com/question/25109150

#SPJ1

Answer:

x = 5.7

Step-by-step explanation:

Use the pythagorean theorem, which says a^2+b^2 = c^2 where c is the hypotenuse (longest side of a right triangle, always opposite the 90 degree right angle).

7^2 + x^2 = 9^2

49 + x^2 = 81

x^2 = 32

now take the square root of both sides

x = 5.65685424949

Round to the nearest tenth.

x = 5.7

Answer:

5.7

Step-by-step explanation:

x^2 + 7^2 = 9^2

x^2 + 49 = 81

x^2 = 81 - 49

x^2 = 32

x = the square root of 32

x = 5.657

round to the nearest tenth

x = 5.7

John William is entitled to purchase 15,000 shares before the offering is made to the public.

a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.

John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.

To convert this proportion to a percentage, we multiply by 100:

Percentage of the total vote = 0.3 * 100 = 30%

Thus, John William will control 30% of the total vote at the.         shareholder meeting.    

b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.

John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.

If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:

Entitlement = (3/10) * 50,000 = 15,000 shares.

For such more questions on Purchase:

https://brainly.com/question/29293531

#SPJ11

24. The length RT is 18 units

25. The equation of the circle graphed is x² + (y - 3)² = 16

The length RT can be calculated using the intersecting secants equation

So, we have

11 * (11 + x) = 9 * (9 + 13)

So, we have

11 + x = 18

This gives

RT = 18

The equation of the circle graphed is represented as

(x - a)² + (y - b)² = r²

Where, we have

So, we have

(x - 0)² + (y - 3)² = 4²

Evaluate

x² + (y - 3)² = 16

Hence, the equation of the circle graphed is x² + (y - 3)² = 16

Read more about circles at

https://brainly.com/question/25871159

#SPJ1

Answer:

Therefore, the y-intercept of the line is (0, 4/3).

Step-by-step explanation:

To find the y-intercept of the line 12x - 18y = -24, we need to set x = 0 and solve for y.

12(0) - 18y = -24

Simplifying, we get:

-18y = -24

Dividing both sides by -18:

y = 4/3

Therefore, the y-intercept of the line is (0, 4/3).

The ratio t : u : v in its simplest form is 0.4 : 1 : v/0.4.

To find the ratio t : u : v, we'll need to express each variable in terms of one another. Given the information provided, we know that:

T = 0.4u   (T is 40% of u)

Y = 0.5t   (Y is half of t)

We can substitute the value of t from the second equation into the first equation:

T = 0.4u

Y = 0.5(0.4u) = 0.2u

Now, we have the values of T and Y in terms of u. To find v, we need additional information since it is not provided.

Without that information, we cannot determine the specific value of v or its relationship to the other variables. Therefore, we cannot simplify the ratio t : u : v any further.

For more such questions on ratio,click on

https://brainly.com/question/12024093

#SPJ8      

The figures paired are given as follows:

| -3| = 3

|-2| >  1

0 < |-1|

The left over is 2. This is based on the principle of absolute values.

The absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.

A number's absolute value can be conceived of as its distance from zero along the real number line.

As a result, the absolute value of -3 is 3, which suggests that |-3| = 3.

-2 in absolute terms equals 2. That is |-2| greater than 1.

the inverse value of -1 equals 1. This equals 0 |-1|.

Learn more about absolute values at:

https://brainly.com/question/31140452

#SPJ1

The statement means that an n-ary operation on set X takes n inputs and produces a single output, with the operation defined by the function f:[tex]X^n[/tex] -> X.

The statement "An n-ary operation on x is functions f:X^n -> X" can be understood as follows:

In mathematics, an n-ary operation refers to an operation that takes n inputs and produces a single output. In this case, the operation is defined on a set X, and the inputs are elements from X. The result of the operation is also an element from X.

The symbol "f" represents the function that performs the n-ary operation. The function f takes n arguments, which are elements from the set X. The notation [tex]X^n[/tex] indicates the Cartesian product of X with itself n times, meaning that the inputs are taken from X and repeated n times as ordered tuples. The arrow "->" signifies that the function f maps the n-tuple of inputs to a single element in X.

To put it simply, the statement is describing a mathematical operation that takes n elements from a set X and combines them in some way to produce a single element, where the combination is determined by the function f. This function f can be defined explicitly based on the specific operation being considered.

for such more question on function

https://brainly.com/question/14723549

#SPJ8

Answer:

Step-by-step explanation:

Answer:181,250

Step-by-step explanation:

Basically, the cost would go up 5 percent, and you’re asking how much it would go up in 5 years. So 5x5=25, so you’d multiply 145,000 by 25%, which is 36,250. So, you’d add that to 145,000 which would get you 181,250.

The solution to the System of equations is x = -9 and y = 8

We have the equation x - y = -1 and the equation x = -9. We can use the second equation to substitute the value of x in the first equation and solve for y.

Given x = -9, we substitute this value into the first equation:

(-9) - y = -1

Simplifying, we have:

-9 + y = -1

To isolate y, we can add 9 to both sides of the equation:

-9 + 9 + y = -1 + 9

This gives us:

y = 8

Therefore, the solution to the system of equations is x = -9 and y = 8.

We can check this solution by substituting the values of x and y back into the original equations:

Equation 1: x - y = -1

Substituting x = -9 and y = 8:

-9 - 8 = -1

Simplifying, we have:

-17 = -1

The equation is true, so our solution is valid.It is important to note that the solution provided is derived from the given equations and standard algebraic methods.

To know more about System of equations.

https://brainly.com/question/30666052

#SPJ11