What is area of 4cm square?

The factors of the quadratic expression x² + 3x - 4 are (x + 4) and (x - 1).

To find the factors of the quadratic expression x² + 3x - 4, we need to factorize it.

Let's consider each option and determine if it is a valid factorization:

Option 1: (x + 4) and (x - 4)

If we multiply (x + 4)(x - 4), we get x² - 16, which is not equal to the original expression x² + 3x - 4.

Therefore, this option is incorrect.

Option 2: (x + 3) and (x - 4)

If we multiply (x + 3)(x - 4), we get x² - x - 12, which is not equal to the original expression x² + 3x - 4.

Therefore, this option is also incorrect.

Option 3: (x + 4) and (x - 1)

If we multiply (x + 4)(x - 1), we get x² + 3x - 4, which is exactly equal to the original expression.

Therefore, this option is the correct factorization of x² + 3x - 4.

Option 4: (x + 3) and (x - 1)

If we multiply (x + 3)(x - 1), we get x² + 2x - 3, which is not equal to the original expression x² + 3x - 4.

Therefore, this option is also incorrect.

In conclusion, the factors of the quadratic expression x² + 3x - 4 are (x + 4) and (x - 1).

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Complete question =

What are the factors of x² + 3x - 4?

(x + 4) and (x – 4)

(x + 3) and (x – 4)

(x + 4) and (x – 1)

(x + 3) and (x – 1)

Answer:

1) 1 or undefined

2) 4

3) exponents

4) squared; cubed

5) can't read the question

True or False

1) True, as long as: a ≠ 0

2) False, should be (a^5)(b^5)

3) True

Step-by-step explanation:

5) if base is negative and raised to a power of without parenthesis like -4², the negative sign stays on the expression, so it'll equal to -16

However, if the base is negative and has parenthesis, like (-4)² then the negative sign will be multiplied too, resulting in 16.

-4² = -(4)*(4)

(-4)² = (-4)*(-4)

Answer:

well let’s break this down

Let’s make type a coffee “a”

And type b coffee “b”

a is 4.35

b is 5.70

We knwo that b is twice as many as a

The total is 614.25

So we can do soemthing like this

4.35a+ (5.70b)2 = 614.25

Now solve

If we simplify its really

4.35a+11.40b =614.25

I like multiply by a 100 to get rid of decimals

435a+1140b=61425

Here we can go 2 ways

We can isoalte a or b

im gonna isloate b

so it would be (61425-435a)/1140 =b

Now we can use that as a subsitube to find a

Now we can just do this

435a +1140(61425-435a)/1140 = 61425

Pop it through an algebra calculator (just search up math pa..Pa and copy paste it, edit if needed) and then you’d get your answer

The equation that represents the predicted amount y that the store will make from sales of accessories and services x for the entire year is  y = 0.05x + 2500

As it is given that  Enrique can make extra money from the sales of services and accessories for computer products sold by his store and the store makes x dollars selling computer products,  he predicted to the store will make 0.05x dollars ($0.05) from selling accessories.we consider x to be dollars of selling computer products, in the month of January and February of this year, the stored made $2,500 from sales of accessories and services.

so the linear equation will be : y = 0.05x + 2500

If  sales from accessories and services for the entire year will be $5,000, then the  equation will be :

y = 0.05x + 5000

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U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

A = {1, 3, 5, 7, 9}

B = {2, 4, 5, 6, 7}.

A = {1, 3, 5, 7, 9}

B' = {1,3,8,9,10}

A U B' = {1,3,5,7,8,9,10}

Answer:

A U B' = {1,3,5,7,8,9,10}

The statement 'if you have 23 people in a room, there is a 50% chance that 2 of them have the same birthday' is True.

The Birthday Paradox states that with 23 people in a room, there is a 50% chance that two of them have the same birthday . This may seem counterintuitive, but the math behind it works as follows:
Calculate the probability that everyone has a different birthday.
Subtract that probability from 1 to get the probability that at least two people share a birthday.
There are 365 possible birthdays for the first person.
For the second person to have a different birthday, there are 364 remaining options.

For the third person, 363 remaining options, and so on.
The probability of everyone having different birthdays is calculated as:
(365/365) × (364/365) × (363/365) × ... × (343/365)
1 - (calculated probability) = probability that at least two people share a birthday
Using this calculation, the probability is approximately 50% that two people have the same birthday with 23 people in the room.

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Answer:

1.6

Step-by-step explanation:

Answer:

1.6 degrees

Step-by-step explanation:

Answer:

- \(\frac{1}{2}\)

Step-by-step explanation:

Find slope using the slope formula : \(\frac{y2-y1}{x2-x1}\)

Plug in the given points : \(\frac{4- (-8)}{-11-13}\)

Add the numbers : \(\frac{12}{-11-13}\)

Calculate the difference : \(\frac{12}{-24}\)

Reduce the fraction : -\(\frac{1}{2}\)

Solution : -\(\frac{1}{2}\)

The solution to the initial-value problem is x = (1/5) * exp(-5t+5), y = 2(1/5) * exp(-5t+5) + exp(t).

To solve the initial-value problem, we have the following system of differential equations:

dx/dt = -5x - y

dy/dt = 4x - y

Let's solve it step by step using the method of solving systems of linear differential equations.

Solve the first equation: dx/dt = -5x - y.

To solve this first-order linear ordinary differential equation, we can use an integrating factor. The integrating factor is given by exp(∫-5 dt), which simplifies to exp(-5t).

Multiply both sides of the equation by the integrating factor:

exp(-5t) * dx/dt = exp(-5t)(-5x - y)

Now, apply the product rule on the left-hand side and simplify:

d/dt (exp(-5t) * x) = -5exp(-5t) * x - exp(-5t) * y

Integrate both sides with respect to t:

∫d/dt (exp(-5t) * x) dt = ∫(-5exp(-5t) * x - exp(-5t) * y) dt

This simplifies to:

exp(-5t) * x = ∫(-5exp(-5t) * x) dt - ∫(exp(-5t) * y) dt

The integrals on the right-hand side can be evaluated as follows:

exp(-5t) * x = -exp(-5t) * x - (1/5)exp(-5t) * y + C1

Simplifying further:

exp(-5t) * x + exp(-5t) * x + (1/5)exp(-5t) * y = C1

Combine like terms:

2exp(-5t) * x + (1/5)exp(-5t) * y = C1

2x + (1/5)y = C1 * exp(5t)

This is the solution to the first equation.

Solve the second equation: dy/dt = 4x - y.

We can use a similar approach. Multiply both sides of the equation by exp(-t):

exp(-t) * dy/dt = exp(-t)(4x - y)

Integrate both sides with respect to t:

∫d/dt (exp(-t) * y) dt = ∫(4exp(-t) * x - exp(-t) * y) dt

This simplifies to:

exp(-t) * y = ∫(4exp(-t) * x) dt - ∫(exp(-t) * y) dt

The integrals on the right-hand side can be evaluated as follows:

exp(-t) * y = 4∫(exp(-t) * x) dt - ∫(exp(-t) * y) dt

This simplifies to:

exp(-t) * y + exp(-t) * y = 4∫(exp(-t) * x) dt

Combine like terms:

2exp(-t) * y = 4∫(exp(-t) * x) dt

Integrate the right-hand side:

2exp(-t) * y = 4(∫(exp(-t) * x) dt + C2)

Simplifying further:

2y = 4x + 4C2 * exp(t)

Divide by 2:

y = 2x + 2C2 * exp(t)

This is the solution to the second equation.

Apply initial conditions:

From the given initial conditions, we have x(1) = 0 and y(1) = 1.

Using x(1) = 0:

2x + (1/5)y = C1 * exp(5t)

2(0) + (1/5)(1) = C1 * exp(5(1))

1/5 = C1 * exp(5)

C1 = (1/5) * exp(-5)

Using y(1) = 1:

y = 2x + 2C2 * exp(t)

1 = 2(0) + 2C2 * exp(1)

1 = 2C2 * exp(1)

C2 = 1 / (2 * exp(1))

Now we have the specific values for C1 and C2. The solution to the initial-value problem is:

x = (1/5) * exp(-5t) * exp(5)

y = 2x + 2 * (1 / (2 * exp(1))) * exp(t)

Simplifying further:

x = (1/5) * exp(-5t+5)

y = 2(1/5) * exp(-5t+5) + exp(t)

These are the solutions for x(t) and y(t) that satisfy the given initial conditions.

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28.75. because if you multiply the 5.75 interest rate by the 5 years you would get 28.75 5years later.

To determine if the newly discovered plant belongs to the same genus as the horsetail, scientists would look for characteristic(s) that provide the best evidence to support this hypothesis. Here are some key characteristics that could be examined:

1. Morphological similarities: Comparing the physical characteristics and overall morphology of the newly discovered plant with known horsetails would provide important evidence. Scientists would analyze features such as the arrangement and structure of leaves, stems, roots, and reproductive structures (such as cones or spores). If the new plant shares significant similarities in morphology with horsetails, it suggests a closer relationship.

2. Genetic analysis: Conducting genetic studies, such as DNA sequencing or molecular markers, can provide strong evidence of evolutionary relationships. By comparing the genetic information of the new plant with that of horsetails, scientists can identify shared genetic traits that indicate a common ancestry. Similarities in DNA sequences or genetic markers would support the hypothesis of belonging to the same genus.

3. Evolutionary history: Investigating the evolutionary history and phylogenetic relationships of horsetails and the new plant can provide valuable insights. By examining the fossil record and constructing phylogenetic trees, scientists can determine the evolutionary relationships between different plant species. If the new plant shares a more recent common ancestor with horsetails compared to other plant groups, it supports the hypothesis of belonging to the same genus.

4. Reproductive compatibility: Assessing the reproductive compatibility between the new plant and horsetails can provide evidence of their relationship. If they can successfully hybridize or have compatible reproductive structures, it suggests a close evolutionary relationship and supports the hypothesis of belonging to the same genus.

5. Chemical composition: Analyzing the chemical composition of the new plant and comparing it with horsetails can provide additional evidence. Similarities in chemical compounds, such as secondary metabolites or bioactive compounds, can indicate a closer relationship and support the hypothesis.

It is important to consider multiple lines of evidence and conduct thorough investigations to support the hypothesis that the new plant belongs to the same genus as horsetails. A combination of morphological, genetic, evolutionary, reproductive, and chemical evidence would provide a more robust and conclusive assessment of their relationship.

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Squeeker initial weight is 1.5

After a year, Squeeker new weight is 7.5

Answer:

4x=7/2-5/6

4x=21-5/6

4x=16/6

x=8/12

x=2/3

x=0.6666.....

The correct next step for the equation \(x^2 - 8x + 12 = 0\) is D)\(x^2 - 4x - 3x - 12 = 0\).. Option D

To simplify the equation\(x^2 - 8x + 12 = 0\), we need to break down the middle term, -8x, into two terms whose sum is -8x and whose product is the same as the product of the first and last terms, \(x^2 * 12 = 12x^2.\)

Let's examine the given options:

A)\(x^2 - 6x - 2x + 12 = 0\)

This option separates the -8x term into -6x and -2x, which adds up to -8x. However, the product of -6x and -2x is \(12x^2,\) not 12. Therefore, option A is incorrect.

B) \(x^2 + 6x + 2x + 12\) = \(x^2 + 6x + 2x + 12 = 0\)

This option also separates the -8x term into 6x and 2x, which adds up to 8x. Additionally, the product of 6x and 2x is 12x^2, not 12. Therefore, option B is also incorrect.

C)\(x^2 - x - 12x + 12 = 0\)

This option separates the -8x term into -x and -12x, which adds up to -13x. However, the product of -x and -12x is 12x^2, not 12. Therefore, option C is incorrect.

D) \(x^2 - 4x - 3x - 12 = 0\)

This option separates the -8x term into -4x and -3x, which adds up to -7x. The product of -4x and -3x is indeed 12x^2. Therefore, option D is the correct next step. Option D

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Yes, three-dimensional shapes, including polyhedra, have surface area. A polyhedron is a solid figure formed by flat faces, which are typically polygons, such as triangles, squares, or other multi-sided shapes. The surface area of a polyhedron is the total area of all its faces.

To find the surface area of a polyhedron, you must calculate the area of each individual face and then sum up these areas. The process varies depending on the type of polyhedron. For example, to find the surface area of a cube, you would calculate the area of one square face (side length squared) and multiply it by the number of faces (6). For a rectangular prism, you would calculate the area of each rectangular face and then add them together.

Other types of polyhedra, such as tetrahedrons or octahedrons, have different methods for calculating surface area, but the principle remains the same: find the area of each face and sum them up. Understanding the surface area of a polyhedron is important in many real-world applications, including architecture, engineering, and design, as it can be used to determine the amount of material needed for construction or the amount of paint required to cover a structure.

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Answer:

15 minutes

Step-by-step explanation:

Divide 12 yards by 4/5 yards.

12 ÷ 4/5 =

12 * 5/4 =

15

Thus, it would take the ant 15 minutes to crawl 12 yards.

Answer: 320 Liters of water were used.

Step-by-step explanation:

Answer:

The equation that represents a proportional relationship, or a line, is y = k x, where is the constant of proportionality.

Step-by-step explanation:

math.

skillz.

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

Answer:

1. x=21.8 2. x-= -103

Step-by-step explanation:

The total overhead variance is $7,000

What is variance?

Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a collection of data (numbers) are from their mean (average) value.

Finding the predicted difference of departure from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.

Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data dispersion from mean.

Total labor and overhead variance = 35000-14000 = 21000

Total overhead variance = 21000/(2+1)*1 = 7000  

Thus, total overhead variance is $7,000  

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Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution

Variability also measure how accurately individual score or sample represent the entire population

When the standard deviation is 0 , the scores have no variability.

Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.

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Answer:

2.9661582

Step-by-step explanation:

2.9661582e+16 this is the answer

Answer:

Your loan was for $16,000.  

Step-by-step explanation:

The formula for simple interest is i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

If i = prt, then p = i / (rt)

Here, p = ($1200) / 0.075 = $16,000

Your loan was for $16,000.  

Answer:

D) a= u-2b over 4

im not totally sure but i think thats it

\(4a - 2b = u \\ 4a = u + 2b \\ a = \frac{u + 2b}{4} \)

The tensile strength ratio (TSR) in percentage for this asphalt mixture is 1.3533.

Given that,

Tensile strength of the three conditioned samples is 176 psi, 180 psi, and 184 psi, respectively.

Tensile strength of the three unconditioned samples is 136 psi, 133 psi, and 130 psi, respectively.

To find :  Tensile strength ratio (TSR) in percentage for asphalt mixture

Tensile Strength Ratio =

Tensile Strength Ratio of Conditioned Samples/Tensile Strength Ratio of UnConditioned Samples

Average Tensile Strength

Conditioned Samples- (180+184+176) /3

                                   =180 psi

Unconditioned Samples - (130+ 133 + 136)/3

                                         =133 psi

Tensile Strength Ratio=180/133

                                    =1.3533

Hence, The tensile strength ratio (TSR) in percentage for this asphalt mixture is 1.3533

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Answer:

Step-by-step explanation:

B

Answer:

x = 4

y = -2

Step-by-step explanation:

x + 10y = -16

-x -4y = 4 <-- ( multiplied x+4y=-4 with -1 so the x's cancel)

6y = -12

y = -2

put -2 back in the equation to get x

x + 10y = -16

x -20 = -16

x = 4

Answer:

140,000

Step-by-step explanation:

We know that the number is 143,699.

We are asked to round to the nearest ten thousand, which is the number bolded:

143,699

This means we have to look at the number to the right of the 4, which is 3.  If this number is below "5", then we round down to get 140,000.  

If this number was (and it's NOT) above "5" or "5" itself, we would round up to 150,000.  

Since "3" is below "5", we would round down to 140,000.

Hope this helps! :)