Given the system of inequalities: 4x – 5y < 1 one-halfy – x < 3 which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

The side-side-side shortcut is a congruence technique (SSS). Side-angle-side (SAS), which uses two sets of sides and an angle between them that is known to be congruent, is another shortcut.

All three pairs of matching sides and all three pairs of corresponding angles are congruent when two triangles are congruent. The triangles are congruent if all three sets of comparable sides are present. When solving proofs, it's crucial to be aware of the shortcuts SSS and SAS.

SSS Similarity - Two geometric figures are similar if one is a scaled version of the other.  As a consequence, their angles will be the same.  This includes triangles, and the scaling factor can be thought of as a ratio of side lengths.

SAS Similarity- If two triangles have a common angle and the ratios of the sides that include this angle are equal, then the triangles are similar by SAS similarity.

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Answer:

 6x+8 < 44

or, 6x<44-8

or,6x<36

or, x<36/6

Therefore, x<6

Explanation:

The sign changes when either one of the sides is divided or being multiplied with a negative value. Here, 36 is being divided with a positive 6, so the sign remains unchanged.

The measure of the lableled angles are x = 202 and  (x - 44) = 158

Before we can solve this question, we need to understand the geometry of the shape.

The shape we have here is a pentagon. The sum of angles in a pentagon is 540.  The angle with a red square is a right angle and the value is 90.

Therefore:

x + 90 + 90 + (x - 44) = 540

x + 180 + x - 44 = 540

2x + 136 = 540

2x = 540 - 136

2x = 404

x = 404/2

x = 202

Also:

(x - 44) = 202 - 44 = 158

Therefore, the angles x and (x - 44) measure 202 and 158 respectively.

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The unknown value x in the polygon is equal to 112 degrees.

The sum of angles in the given polygon be equal to 360 degrees. This implies that when we add all the total sides together, we must have a total of 360 degrees.

Since one of the indicated sides is a right angle, we can sum everything up and solve for x

Mathematically;

\(90 + 90 + x +(x - 44) = 360\)

Solving the equation above;

\(180 + x + x - 44 = 360\\180 + 2x - 44 = 360\\x = 112\)

The value of x in the figure given is 112.

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Answer:

there is a math caulator

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

if 2 pounds= $4, 1 pounds = $2.

2*10=20, so 10 pounds= $20

Answer:

About 379 kilometers

Step-by-step explanation:

1609 meters / mile = 1.609 kilometers / mile

1.609 kilometers / mile * 235.6 miles = 379.0804 kilometers

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:

A) $425.92

Step-by-step explanation:

The new price percentage with relation to the previous can be determined by dividing \(p = \frac{484}{550}\). Once we calculate p, we can multiply it by 484, which is equivalent to applying the same discount, thus \(\frac{484}{550}484=425.92\)

1.) The minimum value of x for the given equation, y = √(x - 2) + 5, is x = 2;    2.) The minimum value of y for the equation y = √(x + 2) - 3, y = -3.

1. To find the minimum value of x for the equation y = √(x - 2) + 5, we need to determine the value of x that would result in the square root term being as small as possible.

Since the square root of a non-negative number is always greater than or equal to zero, the minimum value of x occurs when the expression inside the square root, x - 2, is equal to zero.

Setting x - 2 = 0, we solve for x:

x - 2 = 0

x = 2

Therefore, the minimum value of x for the given equation is x = 2.

2. To find the minimum value of y for the equation y = √(x + 2) - 3, we need to determine the value of x that would result in the square root term being as small as possible. Since the square root of a non-negative number is always greater than or equal to zero, the minimum value of y occurs when the expression inside the square root, x + 2, is equal to zero.

Setting x + 2 = 0, we solve for x:

x + 2 = 0

x = -2

Substituting x = -2 into the equation, we find the corresponding value of y:

y = √(-2 + 2) - 3

y = √0 - 3

y = -3

Therefore, the minimum value of y for the given equation is y = -3.

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E(X) = P(H2)E(X | H2) + P(T2)E(X | T2)E(X) = 0.7(1) + 0.3(1 + E(X))E(X) = 0.7 + 0.3E(X)0.7E(X) = 0.7E(X) + 0.7E(X) - 0.3E(X)0.3E(X) = 0.7E(X)E(X) = 0.7 / 0.3E(X) = 2.33 (rounded to two decimal places)Therefore, the expected number of flips from the point where we flipped tails is 2.33 flips.

Given a biased coin whose probability of flipping a head is 70%, the probability of flipping a tail is 30%.After one flip, the possible outcomes are H or T. Let X be the random variable representing the number of flips from that point, given that a tail was flipped initially. Then we can define the probability of flipping heads at the ith flip as P(Hi), and the probability of flipping tails at the ith flip as P(Ti).

Since we flipped tails initially, P(H1) = 0.3 and P(T1) = 0.7. To find the expected number of flips from this point, we can use the formula: E(X) = Σ i * P(X = i)where Σ denotes the sum over all possible values of i. We can break this sum into two cases:Case 1: We flip heads on the next flip, which occurs with probability P(H2) = 0.7.E(X | H2) = 1 + 0 = 1, since we would only need to flip the coin one more time to get a head

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Answer:

Yes

Step-by-step explanation:

The line is straight, showing a linear relationship between x and y.

Answer:

yes this does represent a funtion

Step-by-step explanation:

because if we use the vertical line test where you get a pencil and put it the graph verticaly any where thier is no points on the graph that toch the pencil twice

It is not true that whenever  we add two irrational numbers we get an irrational number.

Since we know a rational number is a number in the form, p/q, where q ≠ 0. Let  take two numbers : 2 + √3 & 2 - √3

The sum of the two numbers be :

= 2 + √3 + 2 - √3

= 4

Here the number is rational, taking another irrational numbers :  2 + √5 & 2 - √3

= 2 + √5 + 2 - √3

= 4 + √5 - √3,  where it is an irrational number.

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The mean of X, which is the number of 1s spun when the spinner is spun 12 times, is 2 and the standard deviation of X is 1.67.

A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X

represent the number of 1s that are spun. What are the mean and standard deviation of X?

O Wx = 1, 0x = 1. 29

O x = 2,04 = 1. 29

OH, = 2,0x = 1. 67

O Mx = 10,0x = 2. 78

The mean of X is 2 and the standard deviation of X is 1.67.

We can use the formula for mean and standard deviation to calculate the mean and standard deviation of X.

Mean of X = Total number of 1s spun / Total number of spins

Mean of X = 12/6 = 2

Standard Deviation of X = √[(Number of 1s spun × (1 - Probability of spinning 1)) / (Total number of spins - 1)]

Standard Deviation of X = √[(12 × (1 - (1/6))) / (6 - 1)]

Standard Deviation of X = √[(12 × (5/6)) / (5)]

Standard Deviation of X = √[(60/5)]

Standard Deviation of X = 1.67

The mean of X, which is the number of 1s spun when the spinner is spun 12 times, is 2 and the standard deviation of X is 1.67.

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Answer:

16

Step-by-step explanation:

Answer:

\(\boxed{192~cupcakes}\)

Step-by-step explanation:

dozen = 12

3 × 12 = 36 cupcakes

I.

36 cupcakes ----------------  90 minutes

                x    ----------------  60 minutes

\(x=\dfrac{36\cdot 60}{90 } ~ cupcakes\\\\x=24~cupcakes\)

II.

24 cupcakes ---------------------- 60 minutes = 1 hour

          y         ----------------------    8 hours

\(y=\dfrac{8\cdot 24 }{1} ~cupcakes\\\\\boxed{y=192~cupcakes}\)

They will produce 192 cupcakes in 8 hours.

The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

It is defined as the combination of constants and variables with mathematical operators.

We have:

\(\rm = 3^{\dfrac{6}{5}}\)

We can write it as:

\(\rm = \sqrt[5]{3^6}\)

The value of a = 3,

The value of b = 6, and

The value of c = 5

Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

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According to the information in the table, the histogram would be as shown in the attached image.

To graph the information in the table we must take into account the relationship of the data. On the one hand we have the frequency, which is the data that varies, and the different variations of time.

In accordance with the above, what we want to demonstrate with this table are the different frequencies of time that students take to do their math homework. Additionally, most students take between 10 and 25 minutes to do their math homework.

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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:

\(2x^2-4x-6\)

Step-by-step explanation:

Are of the rectangle is the product of lenght and width.

\((x+1)(2x-6)\) Now, even if it might be convenient to keep it in this form, let's make it easier to look at by calculating the product by distributing it, and then adding like terms.

\(x(2x-6) + 1 (2x-6) = 2x^2-6x+2x-6 = 2x^2-4x-6\)

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

Step-by-step explanation

Left at 6:15 am

How many hours until 2:15pm? 8 hours

How many minutes from 2:15 until 2:30? 15

So it took 8 hours and 15 minutes

The solution to the expression -1/2(-3y + 10) when the like terms are combined is 3/2y - 5

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

-1/2(-3y+10)

Express properly

This gives

-1/2(-3y + 10)

Remove the brackets

So, we have the following representation

-1/2(-3y + 10) = -1/2 * -3y + -1/2 * 10

Evaluate one of the products

So, we have the following representation

-1/2(-3y + 10) = 3/2y + -1/2 * 10

Evaluate the other products

So, we have the following representation

-1/2(-3y + 10) = 3/2y - 5

Hence, the solution is 3/2y - 5

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Answer:

8 units, 15 units, 17 units

Step-by-step explanation:

A triangle can only be considered a right triangle if it satisfies the Pythagorean Theorem.

Case 1 : Side lengths 8, 9, 15

Case 2 : Side lengths 8, 15, 17

Therefore, she should use the side lengths 8 units, 15 units, 17 units, as it forms a right triangle.

Answer:

Not possible

Step-by-step explanation:

The positive difference between the integers is 1, so there are no integers in between since the difference between consecutive integers is 1

Hope you understand :)

Answer:

B=95 a= 10 c= 7.5

Step-by-step explanation:

Answer:

Yes it is linear

Step-by-step explanation:

Since (2, 1) is the midpoint of CD, we can use the midpoint formula to find the coordinates of point D.

The midpoint formula states that the coordinates of the midpoint M between two points A and B are:

M = ((x_A + x_B)/2, (y_A + y_B)/2)

In this case, we know that point C has coordinates (6, 8), and the midpoint between C and D is (2, 1). Therefore, we can set up two equations using the midpoint formula:

(6 + x_D)/2 = 2 (for the x-coordinates)

(8 + y_D)/2 = 1 (for the y-coordinates)

Solving for x_D and y_D, we get:

6 + x_D = 4 => x_D = -2

8 + y_D = 2 => y_D = -6

Therefore, the coordinates of point D are (-2, -6).