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La suma de los cuadrados de dos enteros positivos consecutivos es 113. Halla los
entero
s.​

Answer:

3/4    or    75/100

Step-by-step explanation:

75/100 simplified is 3/4

Answer:

\(\frac{75}{100}\)

Answer:

200 marbles are blue only if there are 600 marbles in total. If there are more than 600, you calculate by dividing the total number of marbles by three.

Answer:

200 blue marbles

Step-by-step explanation:

two-thirds of 600 is 400... so the rest is easy 600-400=200

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True, often top standard management prefers to use the same marketing mix globally because it leads to significant cost savings. This approach streamlines management processes and allows for more efficient resource allocation.

True. This is because Standard the marketing mix in across all markets reduces the need for customization and adaptation, which can be time-consuming and costly. By using a consistent approach, top management can achieve significant cost savings. However, it's important to note that this approach may not always be effective, as cultural and market differences can require customization in order to effectively reach and resonate with local consumers.
Standardization allowed companies to continue to produce a variety of products despite the reduced variation. At the same time, the process is simple and the production and purchasing cost is reduced. This creates a perfect win-win situation for everyone involved.

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Answer:

When a moving car applies brake or stop . In this situation result in a final value is zero .

Hope this will be helpful to you..

Answer:

You use the formula (y to the second power minus y to the first power minus the same formula with the two different points

Step-by-step explanation:

75 meters is 175 centimeters

estemate what is 175 ÷ 18.5. It can't be 10 because 18.5 is 185 which is greater than 175, so let's estemate Vivein will have to use het handspan 9 times

Answer:

a

Step-by-step explanation:

it has a negative number which causes the parabola to be a maximum as opposed to a minimum

Using parabola concepts, it is found that the graph that represents \(f(x) = -2x^2\) is given by option A.

In this problem, we have \(f(x) = -2x^2\), which has a negative leading coefficient, thus it is a concave down parabola, which is represented by option A.

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The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.

Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.

The area of a triangle can be found using the formula: Area = (base x height) / 2

For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.

Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.

Therefore, the heights of the two triangles are equal.

So, we can find the area of ABCD as follows:

Area of ABCD = Area of triangle ABE + Area of triangle CDE

= (AB x height)/2 + (CD x height)/2

= (AB + CD) x height / 2

Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

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Answer:

"Broadly speaking, an oligarchy is a form of government characterized by the rule of a few persons or families. More specifically, the term was used by Greek philosopher Aristotle in contrast to aristocracy, which was another term to describe rule by a privileged few."

Step-by-step explanation: I hope this helps with something

The question is incomplete:

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?

a. $10.00

b. $6.20

c.$15.50

d.$25.00

Answer:

d.$25.00

Step-by-step explanation:

With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:

x+y=162 (1)

0.10x+0.25y=31.20 (2), where:

x is the number of dimes

y is the number of quarters

First, you can solve for x in (1):

x=162-y (3)

Then, you have to replace (3) in (2) and solve for y:

0.10(162-y)+0.25y=31.20

16.2-0.10y+0.25y=31.20

0.15y=31.20-16.2

0.15y=15

y=15/0.15

y=100

Finally, you have to replace the value of y in (3) to find x:

x=162-100

x=62

Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:

100*0.25=25

According to this, the answer is that James has $25 in quarters.

Answer:

A)  \((-3)^{2} \neq -9\)

Step-by-step explanation:

Answer:

A) is correct

Step-by-step explanation:

(-3)**2 = 9,  not equal -9

The issue is negative numbers can only be imaginary numbers. The sq root of -9 would be 3i, where i is defined as the sq root of -1.

Answer: 21, 32. 6, 12.

Step-by-step explanation:

10 + 3d = 43. 3d = 33. d = 11.

3 x \(r^{3}\) = 24. \(r^{3}\) = 8. r = 2.

Answer:

n = -6

Step-by-step explanation:

Divide both sides by 2.

1. n+5=−1

Subtract 5 from both sides.

2. n=−1−5

Simplify  -1 − -5  to −6.

3. n = −6

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Answer:

Step-by-step explanation:

Given that:

Principal = $650

Interest rate, r = 2.3% = 0.023 compounded daily

Time, t it takes for final amount, A to reach $880

Using the relation :

A = P(1 + r/n)^nt

n = number of times compounded per period

Hence, n = 365

880 = 650(1 + 0.023/365)^365t

880/650 = 1.0000630^365t

1.3538461 = 1.0000630^365t

Take the log

0.1315692 = 0.0000273596 * 365t

0.1315692 = 0.0099862t

t = 0.1315692 / 0.0099862

t = 13.175101

t = 13.18 years a

The value of r when 3/r = 12/22 is 5.5 or 11/2.

According to the question,

We have the following information:

3/r = 12/22

Now, we can easily find the value of r using the cross multiplication method:

12r = 22*3

Now, 12 is in the multiplication on the left hand side. So, it will be in the division on the right hand side:

r = 66/12

Now, we will convert this fraction into the simplest form by dividing both the denominator and numerator by 6:

r = 11/2

r = 5.5

Hence, the value of r is 11/2 or 5.5.

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Answer:

The range of the function is all real numbers greater than or equal to -1.

Step-by-step explanation:

Second order polynomials are continous and have an absolute maximum or minimum that restricts the set of the range associated with the function. A fair approach to estimate the range is rewritting the expression into parabola form, which is:

\(y - k = C \cdot (x-h)^{2}\)

Where:

\(C\) - Vertix parameter, dimensionless. If \(C > 0\), then vertix is an absolute minimum, but if \(C < 0\), vertix is an absolute maximum.

\(x\) - Independent variable, dimensionless.

\(y\) - Dependent variable, dimensionless.

\(h\) - Location of the vertix with respect to the independent variable, dimensionless.

\(k\) - Location of the vertix with respect to the dependent variable, dimensionless. This value restrics the set corresponding to the range of the polynomic function.

First, we have to expand polynomial into its standard form:

\(y = (x-4)\cdot (x-2)\)

\(y = x^{2}-6\cdot x +8\)

Now, we are going to complete the square and factorize the resultant expression until parabola form is obtained:

\(y = x^{2}-6\cdot x + 9 -9 + 8\)

\(y = (x-3)^{2} -1\)

\(y + 1 = 1 \cdot (x-3)^{2}\)

Since the vertix parameter is positive, then vertix is an absolute minimum. The location of the vertix with respect ot the depedent variable is \(k = -1\). Therefore, the range of the function is all real numbers greater than or equal to -1.

Answer:

520 g

Step-by-step explanation:

Since we don't know the amount in the standard bag, we call its weight x.

The original bag contains 100% of its contents since 100% is the same as 1, or a full bag.

The limited edition bag has 25% more than the standard bag.

The limited edition bag has 100% of x + 25% of x.

100% of x + 25% of x = 125% of x = 1.25x

We are told the limited edition bag has 650 g of sweets.

Our equation is:

1.25x = 650

Divide both sides by 1.25

x = 650/1.25

x = 520

Answer: 520 g

Answer:

areas of AXYZ=10 square units1

Answer:

10 units squared

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Use the distance between two points formula to find the measure of the height and base of ΔXYZ.

Distance between two points

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}\)

Height of Triangle

Define the points:

Substitute the points into the distance formula to find the height of the triangle:

\(\begin{aligned}\implies \sf height & =\sqrt{(4-2)^2+(5-1)^2}\\& = \sqrt{2^2+4^2}\\& = \sqrt{20}\end{aligned}\)

Base of Triangle

Define the points:

Substitute the points into the distance formula to find the height of the triangle:

\(\begin{aligned}\implies \sf base & =\sqrt{(4-0)^2+(0-2)^2}\\& = \sqrt{4^2+(-2)^2}\\& = \sqrt{20}\end{aligned}\)

Area of Triangle

\(\begin{aligned}\implies \sf Area & = \dfrac{1}{2} \times \sf base \times height\\& = \dfrac{1}{2}\sqrt{20}\sqrt{20}\\& = \dfrac{1}{2}(20)\\& = 10 \sf \:\:units^2 \end{aligned}\)

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

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Answer:

42

Step-by-step explanation:

since x is parallel to y m 26 remains constant

To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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Answer:

€13

Step-by-step explanation:

Let A be adult and child be C

3A + 1C = €30 (equation 1 )

1A + 3C = €22 ( Equation 2 )

Equation 1 + equation 2

4A +4C = €52

1A + 1C = €52 ÷4

= €13

Answer:

Explanation:

The diameter of the virus is given below:

The microscope is set so that the object appears 5 x 10² times larger than its actual size.

Therefore, the diameter of the virus when viewed under the mīcroscope is:

We then simplify our result by collecting like terms.

The formula of the volume is given by;

Where:

s = 11 in

h = 11.5 in

So, we have:

Round to the nearest whole number is 464

Answer: 464 in^3

The solution to the given linear equation, 4(x - 7)= 0.3(x + 2) + 2.11, is x = 8.3. The correct option is b) 8.3

From the questions, we are to determine the solution to the given linear equation.

The given linear equation is

4(x - 7)= 0.3(x + 2) + 2.11

To solve the equation, we will determine the value of x

Solving the equation

4(x - 7)= 0.3(x + 2) + 2.11

Clear the parentheses by applying the distributive property

4x - 28 = 0.3x + 0.6 + 2.11

Add 28 to both sides of the equation

4x - 28 + 28 = 0.3x + 0.6 + 2.11 + 28

4x = 0.3x + 30.71

Subtract 0.3x from both sides of the equation

4x - 0.3x = 0.3x - 0.3x + 30.71

3.7x = 30.71

Divide both sides by 3.7

3.7x/3.7 = 30.71/3.7

x = 8.3

Hence, the solution to the equation is x = 8.3

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The wavelength of the light wave is approximately 729.94 meters.

The speed of light is regarded as a fundamental natural constant. Its relevance extends well beyond its role in characterizing an electromagnetic wave characteristic.

The speed of light is a constant, and it is equal to the product of the frequency of a light wave and its wavelength.

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz

So if the frequency of a light wave is given, we can use this formula to calculate its wavelength:

wavelength = speed of light / frequency

Plugging in the values given in the question, we get:

wavelength = 3 x 10⁸ m/s / 4.11 x 10⁴ Hz

wavelength = 3 x 10⁸/ 4.11 x 10⁴

wavelength = 3 / 4.11 x 10⁸/10⁴

Performing the calculation, we find that the wavelength of the light wave is approximately 729.94 meters.

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Answer:

a

Step-by-step explanation:

F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.

To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.

From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.

The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.

Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.

Therefore, the value of F(3) is 9. Option D is correct.

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