Curtis loves Pokémon! He went to school on Thursday and traded a bunch of cards to get new ones. He saw Dino and traded 3 of his cards for one of Dino's. Then a girl he liked, Tippi, wanted to trade cards. He was really nice to her because he liked her, so he traded 5 of his cards for 2 of hers. He then put his cards away. When he got home he noticed that 10 of his cards were missing. He was so upset that his mom bought him another pack of 12 cards. He hid half of his cards at home and took the rest to school the next day. He traded ¼ of the cards he brought to school to Dino again and got back 3 of Dino's cards. Curtis now has 9 cards at school. How many cards did he start with? How many cards total does he have now?

Answer:

First Bike = $190 Second Bike = $212.80

Eliza should buy the first bike

Step-by-step explanation:

Answer:

0% chance

0/6

Step-by-step explanation:

A 6 sided die only goes up to the number 6, so it would be impossible to roll a 7 with only one die.

Answer:

33 degree

Step-by-step explanation:

x+114+33=180 (sum of angle of triangle)

x=180-147

x=33

The product of the two matrices Q₁Q₂ is orthogonal

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. ... {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where QT is the transpose of Q and I is the identity matrix.

It is said to be an orthogonal matrix if its transpose is equal to its inverse matrix, or when the product of a square matrix and its transpose gives an identity matrix of the same order.

If A is an n*n orthogonal matric, then A*A¹ = A¹*A

Therefore A*A¹ = A¹*A  = 1

This implies that the product Q₁O₂ is orthogonal.

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Answer:

B. -2

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

1

= -2

θ =  

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 3 – 0 = 3

ΔY = -2 – 4 = -6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Answer from Gauth math

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

37.5, i think

Step-by-step explanation:

The conversion 336g to m³ is impossible because they measure different units

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

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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Answer:

If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.

Step-by-step explanation:

The solution to the system of equations -3x + 3y + 4z = -16, -3x + 6y + z = 5 and 5x - 4y - 5z = 23 is (3, 3, -4).

Given the system of equations in the question:

-3x + 3y + 4z = -16

-3x + 6y + z = 5

5x - 4y - 5z = 23

To solve for x, y, and z in the system, we use the matrix with Cramer's rule:

First, represent the system of equations in matrix format:

\(\left[\begin{array}{ccc}-3&3&4\\-3&6&1\\5&-4&-5\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] \left[\begin{array}{ccc}-16\\5\\23\end{array}\right]\)

Find the determinant of the coefficient matrix:

\(\left[\begin{array}{ccc}-3&3&4\\-3&6&1\\5&-4&-5\end{array}\right]\)

D = -24

Since the determinant is not zero, the system can be solve solved using Cramer's rule.

x = Dx / D

x = -72 / -24

x = 2

y = Dy / D

y = -72 / -24

y = 3

z = Dz / D

z = 96 / -24

z = -4

Therefore, the list of the solution of the system is:

(3, 3, -4).

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The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Domain: x > –6; range: all real numbers are the domain and range of f (x).

What is domain and range ?

The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x).

                               The collection of numbers that the function assumes is known as its range. After we enter an x value, the function outputs this sequence of values.

we need to remove all the values of x such that:

x + 6 ≤ 0

Solving for x, we get

x ≤ -6

So the only values of x allowed are the ones that make the next inequality true:

x > -6.

Thus we can write the domain as:

D {x | x ∈ R | x > -6}

Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number .

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up a ratio.

An angle bisector divides the side opposite it in the same ratio as the two sides defining the angle where the vertex and angle bisector meet.

14/6 = 21 / 3x - 12            

Cross multiply

14(3x - 12) = 6*21

Remove the brackets

42x - 168 = 126

Add 168 to both sides

42x = 168 + 126

Combine

42x = 294

Divide by 42

x = 294/42

x = 7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          

Step-by-step explanation:

 For a RIGHT triangle , remember  S-O-H-C-A-H-T-O-A ?

    Cos (Φ) = Adjacent leg / Hypotenuse

  so   cos D =    sqrt (78) / DF =  sqrt (78) / 28

Answer:

Step-by-step explanation:

The scale factor is 35/42 = 5/6

The value of angle C is 105.8 degrees and the value of side c is 11.97 units.

The number of sides in a triangle and how their individual sine angles are equal are determined by the law of sines. Other names for the sine law are sine rule, sine formula, and sine law.

The law of sine is used to determine the side or unknown angle of an oblique triangle. Oblique triangles are any triangles that are not right triangles. The sine law requires the simultaneous employment of at least two angles and the associated side measurements.

The rule of sines an be used to determine the missing values for the triangle presented.

The law of sine is given as:

Sin A / a  =  Sin C/

The sine law is expressed as:

Sin C/c equals Sin A/a

Using the sum of the triangle's inner angles, we get:

40 + 34.2 + C = 180

C = 105.8

When we change the value of C, we get:

Sin C/c equals Sin A/a

Sin 40/8 equals Sin 105.8/c

Sin 105.8 (8) / Sin c (40)

c = 11.97

As a result, the value of side c is 11.97 units, and the value of angle C is 105.8 degrees.

Hence, the value of angle C is 105.8 degrees and the value of side c is 11.97 units.

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Formula of the area of a triangle:

A = hbb/2

Plug in the numbers.

20.8 · 19.2/2

= 199.68

Therefore, the area of the triangle is 199.68

The solution to the recurrence relation an = na_(n-1), with a0 = 5, is an = 5n! the given recurrence relation states that each term an is equal to the product of its index n and the previous term a_(n-1).

Starting with a0 = 5, we can calculate the subsequent terms: a1 = 5 * a0 = 5 * 5 = 25, a2 = 2 * a1 = 2 * 25 = 50, a3 = 3 * a2 = 3 * 50 = 150, and so on. In general, an = n * a_(n-1). Simplifying further, we find that an = 5n!.

Sure! Let's break down the explanation further.

We are given the recurrence relation an = na_(n-1), where an represents the nth term in the sequence. The initial condition is a0 = 5.

To find the solution, we start by calculating the first few terms. Using the recurrence relation, we have:

a1 = 1 * a0 = 1 * 5 = 5

a2 = 2 * a1 = 2 * 5 = 10

a3 = 3 * a2 = 3 * 10 = 30

a4 = 4 * a3 = 4 * 30 = 120

...

We can observe that each term is the product of its index n and the previous term a_(n-1). This pattern continues for all terms.

In general, we can express an as an = n * a_(n-1). By substituting this expression into itself, we get:

\(an = n * (n-1) * a_(n-1) = n * (n-1) * (n-2) * a_(n-2) = ... = n * (n-1) * (n-2) * ... * 2 * a\)1.

Since we know a1 = 5, we can substitute it back into the equation:

\(an = n * (n-1) * (n-2) * ... * 2 * a1 = n * (n-1) * (n-2) * ... * 2 * 5.\)

Simplifying further, we obtain the final solution:

an = 5n!.

Therefore, the solution to the given recurrence relation with the initial condition a0 = 5 is an = 5n!.

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Explanation:

90° is 90/360 = 1/4 of a full 360° rotation. Meaning that if the central angle of the pizza slice is 90°, then we have four equal slices.

One slice is 7 square inches, so all four slices combine to 7*4 = 28 square inches

Hypothesis is a proposed explanation for a phenomenon that can be tested through further investigation and theory is well-established explanation.

A proposed explanation for a phenomenon that can be tested through further investigation.

An educated guess based on available evidence.

A well-established and widely accepted explanation for a phenomenon that has been extensively tested and supported by a substantial amount of evidence.

A scientific explanation that has been thoroughly tested and is widely accepted by experts in the field.

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The average value of y for the part of the curve y = 4x - x³ in the first quadrant is 0.

None of the above.

We have,

To find the average value of y for the part of the curve y = 4x - x³ in the first quadrant, we need to calculate the definite integral of the function over the interval [0, c], where c is the x-coordinate of the point where the curve intersects the x-axis in the first quadrant.

Setting y = 0 and solving for x:

4x - x^3 = 0

x(4 - x^2) = 0

This equation has two solutions: x = 0 and x = 2.

However, we are interested in the part of the curve in the first quadrant, so we take c = 2.

Now, we calculate the definite integral of the function from 0 to 2:

∫[0,2] (4x - x³) dx

Using the power rule for integration, we have:

= [2x²/2 - \(x^4\)/4] evaluated from 0 to 2

= [2x^2/2 - \(x^4\)/4] |[0,2]

= (2(2)^2/2 - \(2^4\)/4) - (2(0)²/2 - \(0^4\)/4)

= (2(4)/2 - 16/4) - (0)

= (8/2 - 4) - 0

= (4 - 4) - 0

= 0

Thus.

The integral evaluates to 0, so the average value of y for the part of the curve y = 4x - x³ in the first quadrant is 0.

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The 95% confidence interval for the slope of the regression line in this case is 0.74 ± 0.242.

To calculate the confidence interval for the slope of the regression line, we need to consider the standard error of the slope (sb) and the critical value associated with the desired confidence level.

Given that the standard error of the slope (sb) is 0.11, we can calculate the critical value using the t-distribution with a confidence level of 95% and degrees of freedom equal to the number of observations minus the number of variables in the regression (12 - 2 = 10).

Looking up the critical value in the t-distribution table or using a statistical calculator, the critical value for a 95% confidence level with 10 degrees of freedom is approximately 2.228.

The margin of error for the slope can be calculated by multiplying the critical value by the standard error: 2.228 * 0.11 = 0.245.

Therefore, the 95% confidence interval for the slope is 0.74 ± 0.245. This means we are 95% confident that the true slope of the regression line falls within the range of 0.495 to 0.985.

Among the options provided, the closest match is option (b): 0.74 ± 0.242.

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For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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Answer:

heyyyyyyyyyyyyyyyyyy.

what do you mean brainliest

20%of 12 is 60 so 5%of 60 is 1200

Answer:

Step-by-step explanation:

LHS

tan θ * cot θ

= sin θ / cos θ * cos θ / sinθ

= 1

RHS

sec θ * cos θ

= 1/cos θ * cos θ

= 1

Therefore LHS = RHS proved.

The correct values to complete a rule to find the total cost of purchasing n water filters are C. 40n and B. + and B. 40.

To find the total cost of purchasing n water filters, we can use the following equation:

total cost = 40n + 40

In this equation, "40n" represents the cost of purchasing n water filters, and "40" represents the initial cost of the water filters.

For example, if we want to find the total cost of purchasing 3 water filters, we can plug in the value of n into the equation:

total cost = 40(3) + 40 = 120 + 40 = 160

Therefore, the total cost of purchasing 3 water filters is $160.

In conclusion, the correct values to complete a rule to find the total cost of purchasing n water filters are C. 40n and B. + and B. 40.

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Answer:

I think that Ishaan is 6

Step-by-step explanation:

I am very sorry if it is wrong

Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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