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Answer:

144 + x = 264

Step-by-step explanation:

Answer ; They would have made 120 Gingersnap cookies.

120 + 144 =264

hopefully this helps.

- prxsIey

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

The distance around the circle.

Step-by-step explanation:

Circumference means the outer area of a particular object or the outer border of the object. When we talk about the circle, the total outer round area is the circumference of the circle.
The formula for circle circumference is 2pir

where pi = 3.14 approx  and the r = radius of the circle

Hence, the answer is the distance around the circle.

The integrating factor method involves finding the integrating factor, multiplying the equation by the integrating factor, recognizing the left-hand side as the derivative of a product, integrating both sides.

To solve the initial value problem (IVP) using the integrating factor method, we first need to write the given differential equation in the standard form of a linear first-order differential equation, which is:

\(\(y' + P(t)y = Q(t)\).\)

In this case, the given equation is:

\(\(y' + 2ty = T\)\),

where \(\(P(t) = 2t\)\) and \(\(Q(t) = T\).\)

To find the integrating factor, we multiply the entire equation by the integrating factor, which is defined as:

\(\(I(t) = e^{\int P(t) dt}\).\)

In this case, \(\(I(t) = e^{\int 2t dt} = e^{t^2}\).\)

Multiplying the given equation by the integrating factor, we have:

\(\(e^{t^2}y' + 2te^{t^2}y = Te^{t^2}\).\)

Next, we recognize the left-hand side of the equation as the derivative of the product of y and \(\(e^{t^2}\)\) with respect to t, which leads to the application of the product rule.

Applying the product rule, we differentiate \(\(y \cdot e^{t^2}\)\) with respect to t, which gives:

\(\(\frac{d}{dt}(y \cdot e^{t^2}) = Te^{t^2}\).\)

Integrating both sides of the equation with respect to t, we obtain:

\(\(y \cdot e^{t^2} = \int Te^{t^2} dt\).\)

To solve the integral on the right-hand side, we need additional information about the function \(\(T(t)\)\) .

Once we have the expression for \(\(y \cdot e^{t^2}\)\), we can solve for y by dividing both sides by \(\(e^{t^2}\)\).

Finally, applying the initial condition (y(0) = 1), we can determine the particular solution to the IVP.

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A pyramid is a solid shape with a specified shaped base. The required answer is 8.67 cubic feet.

A pyramid is a solid shape with a specified shaped base. While a square based pyramid is a type of pyramid which has its base to be a square.

Volume of a square based pyramid = \(\frac{1}{3}\) x base area x height

Also, are of a square = length x length

So that,

i. For the first pyramid;

volume =  \(\frac{1}{3}\) x (2 x 2) x 6

            = 8 cubic feet

The volume of the first pyramid is 8 cubic feet.

ii. For the second pyramid, we have;

height = 8 feet

base side = 2.5 feet

So that.

Volume =  \(\frac{1}{3}\) x (2.5 x 2.5) x 8

             = 16.6667

Volume = 16.67 cubic meters

The volume of the second pyramid is 16.67 cubic meters.

Therefore, the volume of the second pyramid is greater than the volume of the first pyramid by;

volume of the second pyramid - volume of the first pyramid = 16.67 - 8.0

                                              = 8.67 cubic feet

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The simplified form of the polynomial ( x + 6 )( x² - 3x - 4 ) is x³ + 3x² - 22x - 24

Given the polynomial in the question;

( x + 6 )( x² - 3x - 4 )

Apply distributive property.

x( x² - 3x - 4 ) + 6( x² - 3x - 4 )

x³ - 3x² - 4x + 6x² - 18x - 24

Collect like terms

x³ - 3x² + 6x² - 18x - 4x - 24

Add like terms

x³ - 3x² + 6x² - 18x - 4x - 24

Add -3x² and 6x²

x³ + 3x² - 18x - 4x - 24

Add -18x and -4x

x³ + 3x² - 22x - 24

Therefore, the simplified form is x³ + 3x² - 22x - 24.

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Answer:

Whole, natural, integer, rational, real

Step-by-step explanation:

15/5 can be rewritten as 3.

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

The distance between Katty's house to Camilla's house is 8.1 miles

Pythagoras theorem states that : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

If a and b are the legs of the triangle and c is the hypotenuse, then,

c² = a²+b²

The pattern of the journey is triangular and the distance from Katty's house to Camilla's house is the hypotenuse.

c² = 4.6²+6.7²

c² = 21.16+44.89

c² = 66.05

c = √66.05

c = 8.1 miles ( nearest tenth)

therefore the distance from Katty's house to Camilla's house is 8.1 miles.

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Answer:

15

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's complementary to the third interior angle

5x - 3 + 4x - 2 = 10x - 20 add like terms

9x - 5 = 10x - 20

- 5 + 20 = 10x - 9x

15 = x

The estimated loss for 100 parts can be determined by calculating the difference between the target value and the sample mean, and then multiplying it by the number of parts (100).

However, without additional information about the target value and the variability of the process, it is not possible to provide an exact estimation of the loss.

To estimate the loss for 100 parts, we need to consider the difference between the target value and the sample mean, which is given as 9.710. However, since we don't have the target value, we cannot calculate the exact loss. The target value represents the desired or expected value for the dimension being measured, and it is necessary to have this value to determine the deviation from the target.

Additionally, the estimation of loss depends on the variability of the process, which is not provided in the given information. Variability is an important factor in determining the potential deviation from the target value. If the process has high variability, the potential loss can be larger compared to a process with low variability.

To calculate the loss, we would need the specification limits or tolerance range, which defines the acceptable range for the dimension being measured. With the target value, sample mean, and specification limits, we can estimate the loss by calculating the deviation from the target and multiplying it by the number of parts (100).

However, since the necessary information is not provided, we cannot provide an exact estimation of the loss for 100 parts. It is crucial to have complete information about the target value, process variability, and specification limits to accurately estimate the potential loss in a production process.

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The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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Answer:

Step-by-step explanation:triangle P: 12, 24, and 30

triangle Q: 9, 40, and 41

triangle R: 5, 18, and 21

Which triangle is a right triangle? Explain your reasoning.

The triangle Q is a right triangle because it respects the Pythagoras Theorem.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  In this triangle from the trigonometric ratios or the Pythagoras Theorem (\(hypotenuse^2=(side_1)^2+(side_2)^2\)), it is possible finding angles or sides. It is important to know that the hypothenuse is the greatest side of a right triangle.

Here the hypotenuse is equal to 30. Then,

\(hypotenuse^2=(side_1)^2+(side_2)^2\\ \\ 30^2=24^2+12^2\\ \\ 900=576+144\\ \\ 900\neq 720\)

It is not a right triangle.

Here the hypotenuse is equal to 41. Then,

\(hypotenuse^2=(side_1)^2+(side_2)^2\\ \\ 41^2=9^2+40^2\\ \\ 1681=81+1600\\ \\ 1681=1681\)

It is a right triangle.

Here the hypotenuse is equal to 21. Then,

\(hypotenuse^2=(side_1)^2+(side_2)^2\\ \\ 21^2=5^2+18^2\\ \\441=25+324\\ \\ 441\neq 349\)

It is not a right triangle.

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A symbol that could be written in both circles in order to represent this system algebraically include the following: C. <.

In Mathematics, there are several rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:

In this context, we can logically deduce that the most appropriate inequality symbol to represent the solution to the system of inequalities is the less than (<) because the dashed boundary lines are shaded below.

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Missing information:

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

Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.

To determine the equivalent nominal interest rate compounded monthly for a given nominal interest rate compounded quarterly, we can use the formula for nominal interest rate conversion.

The formula is:

r = (1 + i/n)^n - 1

Where:

r is the nominal interest rate compounded annually (we're looking for this),

i is the nominal interest rate compounded quarterly (2.50% in this case),

n is the number of compounding periods per year (4 for quarterly compounding).

Plugging in the values, we have:

r = (1 + 0.025/4)^4 - 1

Calculating this expression, we find:

r ≈ 0.025335

Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.

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Answer:

3.14

Step-by-step explanation:

The probability that the next coin flip will yield a head is 50%, as each coin flip has an equal chance of landing either heads or tails.

Probability is an incredibly important concept to understand in our everyday lives. Understanding probability helps us make informed decisions about the chances of something happening. For example, when playing a game of chance, understanding probabilities can give us a better idea of the likelihood of winning or losing. Knowing the probability of an event happening can also help us make decisions in other areas of life, such as investing.

In the context of coin flipping, it is important to remember that the probability of a coin landing on heads or tails is always 50%. This means that no matter how many times the coin is flipped and no matter what the previous outcome, the probability of the next flip being heads or tails remains the same. This concept is the basis of probability theory, which can be applied to many other areas of life.

Understanding probabilities is also useful in understanding the chances of certain events occurring in the world. For example, understanding the probability of an earthquake happening in a certain area can help us make decisions about where to live or how to prepare for a potential disaster. Similarly, understanding the probability of a successful business venture can help us decide whether or not to invest in it.

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Answer:

x = 20

Step-by-step explanation:

3x - 10 + 5x + 30 = 180

8x = 180 - 20

8x = 160

x = 20

Answer:

0

Step-by-step explanation:

The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours."  

What does the frequency distribution in the table reveal about the homework habits of the two samples of high school students?

The frequency distribution in the table provides insights into the distribution of homework habits among the two samples of high school students. By examining the frequency counts in each time category, we can determine the proportion of students spending different amounts of time on homework each night. This information helps identify patterns and differences in homework habits between the two samples, allowing for a comparison of their study behaviors.

Here is an example of a 4-column table with 2 rows representing the results of a random survey asking two samples of 100 high school students about the amount of time they spend on homework each night:

Sample 1:

  Sample 1                                                     Number of Students

    Time                                                                   Frequency

   <1 hour                                                                     20

  1-2 hours                                                                    40

 2-3 hours                                                                     30

    >3 hours                                                                   10

Sample 2:

 Sample 2                                                        Number of Students

Time                                                                      Frequency

<1 hour                                                                        30

1-2 hours                                                                    35

2-3 hours                                                                   20

>3 hours                                                                      15

In this table, each sample represents a different group of 100 high school students, and the frequency of students spending a particular amount of time on homework each night is recorded. The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours." The table provides an overview of the distribution of homework time among the two samples of high school students.

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Answer:

c

Step-by-step explanation:

and bro i am i have a brother that always on my account makes me that im cheating that im not and he always blames me so thats why my bro has too many gfs and always blames me

Answer:

Angles 6,4, and 2 are exterior angles.

Step-by-step explanation:

Hope this helps

The correct option is (d) interval/ratio, nominal with 2 or more levels.

In ANOVA (Analysis of Variance), the independent variable is interval/ratio with 2 or more levels, and the dependent variable is nominal with 2 or more levels. Here, ANOVA is a statistical tool that is used to analyze the significant differences between two or more group means.

ANOVA is a statistical test that helps to compare the means of three or more samples by analyzing the variance among them. It is used when there are more than two groups to compare. It is an extension of the t-test, which is used for comparing the means of two groups.

The ANOVA test has three types:One-way ANOVA: Compares the means of one independent variable with a single factor.Two-way ANOVA: Compares the means of two independent variables with more than one factor.Multi-way ANOVA: Compares the means of three or more independent variables with more than one factor.

The ANOVA test is based on the F-test, which measures the ratio of the variation between the group means to the variation within the groups. If the calculated F-value is larger than the critical F-value, then the null hypothesis is rejected, which implies that there are significant differences between the group means.

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Answer:

6/9 because if you multiply 2/3times 3 its 6/9 which when simplified is 2/3

Answer:

He will earn $51 more

Step-by-step explanation:

Let us compare the amounts he will earn in both banks

Mathematically, simple interest is;

I = PRT/100

Where P represents principal, R represents rate and T represents time

For Citibank, we have

I = (500 * 4.75 * 12)/100 = $285

For National bank

I = (500 * 3.9 * 12)/100 = 234

The difference between the amount of money earned in both banks will be;

285-234 = 51

Answer:

30% hope this is rightttt

The product of linear factors of the polynomial h(x) will be (x + 1), (x + 1 + √7), and (x + 1 - √7).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The cubic polynomial is given below.

h(x) = x³ + 3x² - 4x - 6

Factorize the polynomial, then we have

h(x) = x³ + 3x² - 4x - 6

h(x) = x³ + x² + 2x² + 2x - 6x - 6

h(x) = x²(x + 1) + 2x(x + 1) - 6(x + 1)

h(x) = (x + 1)(x² + 2x - 6)

Factorize tbe expression (x² + 2x - 6) by formaula method,

x = [-2 ± √(2² - 4 × 1 × (-6))] / 2 × 1

x = (- 2 ± 2√7) / 2

x = - 1 ± √7

(x + 1 + √7)(x + 1 - √7) = 0

Then we have the factor of the function,

h(x) = (x + 1)(x + 1 + √7)(x + 1 - √7)

The product of linear factors of the polynomial h(x) will be (x + 1), (x + 1 + √7), and (x + 1 - √7).

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Answer:gbf

Step-by-step explanation: gbf is an acute angle

Answer: GBF, FDA, and DAF

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator