Evaluate the expression 42 + 5/9y

I believe that he is not correct. By him saying a number hes saying 10-5=5 but you could also do 10-0=10 so he is not correct.

Yes. Jim is correct. because a number he saying is 10-5=5 but it could also be 10-0=10.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

We have given that Jim stated, "When you subtract a number from 10, the answer will always be less than 10"

let's consider an example and say 2 is the number.

If we subtract 2 from ten, then we get 8 which is less than 10.

Therefore, if the number is greater than ten it would result in a number which less than ten

Due to this it would result in a negative number.

Hence Yes. Jim is correct. because a number he saying is 10-5=5 but it could also be 10-0=10.

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Answer

The amount of blood, in gallons, that they were under their goal is 2 gallons

Therefore the hospital did not meet their goal

Explanation

The hospital was hoping to collect a total of 12 gallons of blood from the drive.

80 pints of blood was collected

1 liquid gallon = 8 liquid pints

x liquid gallons = 80 liquid pints / 8 liquid pint

x = 10 liquid gallons

Therefore the amount of blood, in gallons = 10 gallons of blood

The amount of blood, in gallons, that they were under their goal is

12 gallons - 10 gallons = 2 gallons

Therefore the hospital did not meet their goal

Answer:

56 degrees

Step-by-step explanation:

the total sum of the angles in a triangle is 180

90+34+b=180

b=180-124

=56

Answer:

56°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°.

The triangle shown in the image is a right triangle so one of the angle measure is 90°.

Given, the other angle is 34°, we can find the value of missing angle with the following equation:

x + 90° + 34° = 180°

x + 124° = 180°

x = 56°

i) The dispersion relation for the given equation is ± (v / 6) * k.

ii) The group velocity for the given equation is ± v / 6.

iii) The phase velocity is ± v / 6.

To find the dispersion relation, as well as the group and phase velocities for the given equation, let's start by rewriting the equation in a standard form:

82y(x, t) - 8\(t^2\) + 84y(x,t) = -2 * 8\(x^4\)

Simplifying the equation further:

8(2y(x, t) - \(t^2\) + 4y(x,t)) = -16\(x^4\)

Dividing both sides by 8:

2y(x, t) - \(t^2\) + 4y(x,t) = -2\(x^4\)

Rearranging the terms:

6y(x, t) = \(t^2\) - 2\(x^4\)

Now, we can identify the coefficients of the equation:

Coefficient of y(x, t): 6

Coefficient of \(t^2\): 1

Coefficient of \(x^4\): -2

(i) Dispersion Relation:

The dispersion relation relates the angular frequency (ω) to the wave number (k). To determine the dispersion relation, we need to find ω as a function of k.

The equation given is in the form:

6y(x, t) = \(t^2\) - 2\(x^4\)

Comparing this with the general wave equation:

A * y(x, t) = B * \(t^2\) - C * \(x^4\)

We can see that A = 6, B = 1, and C = 2.

Using the relation between angular frequency and wave number for a linear wave equation:

\(w^2\) = \(v^2\) * \(k^2\)

where ω is the angular frequency, v is the phase velocity, and k is the wave number.

In our case, since there is no coefficient multiplying the y(x, t) term, we can set A = 1.

\(w^2\) = (\(v^2\) / \(A^2\)) * \(k^2\)

Substituting the values, we get:

\(w^2\) = (\(v^2\) / 36) * \(k^2\)

Therefore, the dispersion relation for the given equation is:

ω = ± (v / 6) * k

(ii) Group Velocity:

The group velocity (\(v_g\)) represents the velocity at which the overall shape or envelope of the wave propagates. It can be determined by differentiating the dispersion relation with respect to k:

\(v_g\) = dω / dk

Differentiating ω = ± (v / 6) * k with respect to k, we get:

\(v_g\) = ± v / 6

So, the group velocity for the given equation is:

\(v_g\) = ± v / 6

(iii) Phase Velocity:

The phase velocity (\(v_p\)) represents the velocity at which the individual wave crests or troughs propagate. It can be calculated by dividing the angular frequency by the wave number:

\(v_p\) = ω / k

For our equation, substituting the dispersion relation ω = ± (v / 6) * k, we have:

\(v_p\) = (± (v / 6) * k) / k

\(v_p\) = ± v / 6

Therefore, the phase velocity for the given equation is:

\(v_p\) = ± v / 6

To summarize:

(i) The dispersion relation is ω = ± (v / 6) * k.

(ii) The group velocity is \(v_g\) = ± v / 6.

(iii) The phase velocity is \(v_p\) = ± v / 6.

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Answer:

150 students.

Step-by-step explanation:

60 = 40%

? = 100%

(60*100)/40

= 150 students

To find the domain of the function f(x,y) = ln(9 - x^2 - 9y^2), we need to identify any values of x and y that would make the argument of the natural logarithm negative or equal to zero.

Since the natural logarithm of a non-positive number is undefined, we need to ensure that 9 - x^2 - 9y^2 > 0.

Rearranging this inequality, we get x^2 + 9y^2 < 9, which is the equation of an ellipse centered at the origin with semi-axes of length 3 and 1 in the x and y directions, respectively.

Therefore, the domain of the function is the interior of this ellipse, which we can sketch as follows:

(please imagine an ellipse centered at the origin with semi-axes of length 3 and 1 in the x and y directions, respectively, shaded in)
To find and sketch the domain of the function f(x, y) = ln(9 - x² - 9y²), we need to determine the values of x and y for which the function is defined.

Step 1: Identify the restrictions of the function.
For the natural logarithm function, ln(x), it is defined for x > 0. Therefore, the inside of the logarithm, 9 - x² - 9y², must be greater than 0.

Step 2: Solve for the domain.
9 - x² - 9y² > 0

Rearrange the inequality:
x² + 9y² < 9

Divide by 9:
x²/9 + y² < 1

This inequality represents the interior of an ellipse with semi-major axis a = 3 and semi-minor axis b = 1.

Step 3: Sketch the domain.
To sketch the domain, draw an ellipse centered at the origin (0, 0) with horizontal axis length 6 (from -3 to 3) and vertical axis length 2 (from -1 to 1). The domain includes all points inside the ellipse but does not include the boundary (the ellipse itself).

So, the domain of the function f(x, y) = ln(9 - x² - 9y²) is the interior of the ellipse with equation x²/9 + y² < 1.

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The approximate value of x in the equation 5 to the power of 2x=20 is 0.93

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

5 to the power of 2x=20

As an expression, we have

5^(2x) = 20

Take the natural logarithm of both sides

so, we have the following representation

2x = ln(20)/ln(5)

Evaluate the quotients

This gives

2x = 1.86

So, we have

x = 0.93

Hence, the value of x is 0.93

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Answer:

for the triangle on top on side is 8 one side is 4 so if we use the theorem

64+16=80

a=9

so

Side a = 19.8242

Side b = 17.66349

Side c = 9

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 63° = 1.09956 rad = 7/20π

Angle ∠C = 27° = 0.47124 rad = 3/20π

Area = 79.48573

Perimeter p = 46.4877

Semiperimeter s = 23.24385

By substituting x = 1 - y in the integral B(p,q), we obtain B(p,q) = ∫₀¹ y^(q-1) (1 - y)^(p-1) dy. Interchanging p and q gives B(q,p) = ∫₀¹ y^(p-1) (1 - y)^(q-1) dy. Since the integrands are the same, B(p,q) = B(q,p).

To prove that B(p,q) = B(q,p), we can use the hint provided and put x = 1 - y in Equation (6.1), where B(p,q) = ∫₀¹ x^(p-1) (1-x)^(q-1) dx, with p > 0 and q > 0.

Let's substitute x = 1 - y into the integral:

B(p,q) = ∫₀¹ (1 - y)^(p-1) (1 - (1 - y))^(q-1) dy

= ∫₀¹ (1 - y)^(p-1) y^(q-1) dy

= ∫₀¹ y^(q-1) (1 - y)^(p-1) dy

Now, let's interchange p and q in the integral:

B(q,p) = ∫₀¹ y^(p-1) (1 - y)^(q-1) dy

By comparing B(p,q) and B(q,p), we can observe that they have the same integrand, y^(p-1) (1 - y)^(q-1), just with the interchange of p and q. Since the integrand is the same, the integral values will also be the same.

Therefore, we can conclude that B(p,q) = B(q,p), proving the desired result.

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The false statement suggests that class boundaries ensure consecutive bars of a histogram touch, but this is incorrect. Class boundaries are used to define intervals and group data, not to ensure that bars touch.

Class boundaries in a histogram are not designed to ensure that consecutive bars touch. Instead, they are used to define the intervals or ranges into which the data is grouped. The purpose of class boundaries is to establish a clear distinction between adjacent classes, making it easier to interpret the data and create meaningful intervals for analysis.

To clarify, let's consider an example where we have a set of data points ranging from 10 to 30. We want to create a histogram with five bars. We can define the class boundaries as follows:

Class 1: 10 - 14.9

Class 2: 15 - 19.9

Class 3: 20 - 24.9

Class 4: 25 - 29.9

Class 5: 30 - 34.9

In this example, the class boundaries are chosen based on the desired intervals for the histogram. However, it's important to note that the bars representing these classes in the histogram will not touch each other. There will be gaps between them to indicate that they are separate intervals.

The purpose of class boundaries is to create distinct and meaningful intervals for analyzing the data in a histogram.

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Answer:

Step-by-step explanation:

Dividend = 24x³ - 14x² + 20x + 6

Answer:

A: \(x^3-2x^2+3x\)

Step-by-step explanation:

Quadratic Equation Formula: \(ax^2+bx+c=0;a\neq 0\)

\(x^3-2x^2+3x\)

Answer: 6 (z+13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

10-z=6

We move all terms to the left:

10-z-(6)=0

We add all the numbers together, and all the variables

-1z+4=0

We move all terms containing z to the left, all other terms to the right

-z=-4

z=-4/-1

z=+4

The diagonals of a rectangle are congruent

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as ABCD

Now , the diagonals of the rectangle are AC and BD

And , the diagonals are congruent by

The measure of side AD = measure of side BC ( property of rectangle )

And , the measure of side AB = measure of side CD ( property of rectangle)

And , The measure of ∠D = measure of ∠C ( for a rectangle , the angles are perpendicular )

Therefore , ΔADC ≅ ΔBCD

So , the diagonals of the rectangle are congruent by the ASA theorem

Hence , the diagonals of the rectangle are congruent

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Answer:

5 days

Step-by-step explanation:

you need to make 5 3/4 into an improper fraction

(5x40)+3/4= 23/4

make all fractions have a common denominator

1/2 = 2/4    

you multiply numerator and denominator by 2 to get a denomintator of 4

23/4 ÷ 2/4

to divide a fraction you turn the second fraction into a reciprocal

2/4 in a reciprocal is 4/2

then you multiply the fractions together

23x2/2x4

simlplify to get

46/8 = 23/4

make into a mixed number by dividing by 4

5 3/4

Answer:

18

Step-by-step explanation:

The solution is Option B.

The value of the modulus function is A = 18

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as A

Now , the value of A is

A = 6 | 5 - c | + 2c  be equation (1)

Now , when the value of c = 6

Substituting the value of c in the equation , we get

A = 6 | 5 - 6 | + 2 ( 6 )

A = 6 | -1 | + 2 ( 6 )

The value of the modulus function always returns a positive value ,

So , A = 6 ( 1 ) + 2 ( 6 )

A = 6 + 12

A = 18

Therefore , the value of A is 18

Hence , the modulus function is A = 18

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Answer:

40

Step-by-step explanation:

3a + 2b =

3(10) + 2(5)

30 + 10 = 40

I hope this helps!

Have a great day!

Answer:

40

Step-by-step explanation:

This one is simple, just plug the numbers into the equation:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

                 a = 10           b = 5

                         3a + 2b

                               ↓

                       3(10) + 2(5)

                               ↓

                          30 + 10

                               ↓

                   Our answer is  40

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a good one

~Siascon~

Answer:

B. -3,0

hope this helps

The three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.


Let's represent the first odd integer as x. Then, the next two consecutive odd integers would be x + 2 and x + 4.

According to the problem, the sum of these three consecutive odd integers is 147:

x + (x + 2) + (x + 4) = 147

We simplify and solve for x, which gives us the value of the first integer.

Simplifying and solving for x, we get:

3x + 6 = 147

3x = 141

x = 47

So the three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.

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The random variable follows a continuous uniform distribution between 20 and 50.

The continuous uniform distribution is a probability distribution where all values within a specified range are equally likely to occur. In this case, the random variable follows a continuous uniform distribution between 20 and 50. To calculate the probabilities for this distribution, we can use the properties of the uniform distribution.

P(x ≤ 25):

To find this probability, we need to calculate the proportion of the range from 20 to 50 that lies below or equal to 25. Since the distribution is uniform, the probability is equal to the ratio of the length of the range below or equal to 25 to the length of the entire range.

Length of the range below or equal to 25 = 25 - 20 = 5

Length of the entire range = 50 - 20 = 30

P(x ≤ 25) = (Length of the range below or equal to 25) / (Length of the entire range) = 5 / 30 = 1/6 ≈ 0.1667

Therefore, P(x ≤ 25) is approximately 0.1667 or 16.67%.

P(x ≤ 30):

Using a similar approach, we calculate the probability of the range below or equal to 30.

Length of the range below or equal to 30 = 30 - 20 = 10

P(x ≤ 30) = (Length of the range below or equal to 30) / (Length of the entire range) = 10 / 30 = 1/3 ≈ 0.3333

Therefore, P(x ≤ 30) is approximately 0.3333 or 33.33%.

P(24 ≤ x ≤ 35):

To find this probability, we need to calculate the proportion of the range from 20 to 50 that lies between 24 and 35.

Length of the range between 24 and 35 = 35 - 24 = 11

P(24 ≤ x ≤ 35) = (Length of the range between 24 and 35) / (Length of the entire range) = 11 / 30 ≈ 0.3667

Therefore, P(24 ≤ x ≤ 35) is approximately 0.3667 or 36.67%.

P(x = 28):

Since the continuous uniform distribution is continuous, the probability of a single point is zero. Therefore, P(x = 28) is equal to zero.

In summary:

P(x ≤ 25) ≈ 0.1667 or 16.67%

P(x ≤ 30) ≈ 0.3333 or 33.33%

P(24 ≤ x ≤ 35) ≈ 0.3667 or 36.67%

P(x = 28) = 0

These probabilities are calculated based on the assumption that the random variable follows a continuous uniform distribution between 20 and 50.

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

27.8 <x < 30.2

Interval Notation:

(27.8, 30.2)

The degree of a quadratic equation is always 2

The substitution that rewrites \(x^8 - 3x^4 +2 = 0\) as a quadratic equation is \(u = x^4\)

The equation is given as:

\(x^8 - 3x^4 +2 = 0\)

Express 8 as 4 * 2

\(x^{4 \times 2} - 3x^4 +2 = 0\)

Rewrite the equation as:

\((x^{4})^2 - 3x^4 +2 = 0\)

Represent x^4 with u.

So, the equation becomes

\(u^2 - 3u +2 = 0\)

Notice that the above equation has a degree of 2.

Hence, the substitution is \(u = x^4\)

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Answer:

B

Step-by-step explanation:

Edge 2022

Answer:

Its 26

Step-by-step explosion:

When it comes to setting the table for a formal occasion like Thanksgiving dinner, there are a few guidelines to keep in mind. In terms of cutlery, the standard arrangement is to place the knives on the right-hand side of the plate, with the blade facing inwards towards the plate.

The spoons and forks should go on the left-hand side of the plate, with the spoon furthest from the plate and the fork closest to it. If Kevin has bought multiple sets of cutlery, he should try to match them as closely as possible in terms of style and design, so that the overall look of the table is cohesive. It's also a good idea to make sure that each place setting has the same cutlery, so that guests don't feel like they've been given an inferior set compared to someone else at the table. Finally, Kevin should make sure that the cutlery is clean and polished before placing it on the table, as this will add an extra touch of elegance to the overall presentation.

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The probability of being dealt a card that helps improve your hand is approximately 0.7083 or 70.83%.

To determine the probability of being dealt a card that helps you, we need to consider two factors: the number of favorable cards remaining in the deck and the total number of cards remaining.

At the beginning of the game, a standard deck of 52 cards is used. After the initial deal, you and the dealer have each received two cards, so there are 52 - 4 = 48 cards remaining in the deck.

To determine the favorable cards that can improve your hand, we need to consider the possible outcomes. In this case, you have a four and a jack, and you're looking to improve your hand. Let's analyze the possibilities:

To improve your hand to a better total without exceeding 21, you would want to draw a card between 5 and 9, inclusive. In this case, you know that the dealer's one visible card is a five, so there are three more fives left in the deck. Additionally, there are four cards each of 6, 7, 8, and 9, making a total of 16 favorable cards for improving your hand.

Lastly, if you're hoping to improve your hand to a total of 20, you would need an ace, 2, 3, or 6. As we assumed earlier, there are three aces remaining, and there are four cards each of 2, 3, and 6. So there are a total of 3 + 4 + 4 + 4 = 15 favorable cards for achieving a total of 20.

In total, the number of favorable cards for improving your hand is 3 (blackjack) + 16 (improve to a better total) + 15 (improve to a total of 20) = 34.

To calculate the probability, we divide the number of favorable cards by the total number of cards remaining in the deck:

Probability = Number of Favorable Cards / Total Number of Cards Remaining

Probability = 34 / 48

Simplifying the fraction, the probability is 17 / 24 or approximately 0.7083 (rounded to four decimal places).

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The equation which represents 3 x 3/4 as a unit fraction is; 3 × 3/4 = 9 × 1/4.

A unit fraction by definition is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.

On this note, the given expression when expressed as a unit fraction is;

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The solution is:

Cash received on account =$ 6381.63

Explanation:

The payment terms 3/10, n/30 implies that if  Guzman Housewares pays within the next 10 days of purchase, it will receive a discount of 3% of the net invoice amount and that the latest date for the settlement of bill is within the next 30 days of purchase.

The latest payment date to qualify for discount is May 27th i.e ( May 12 + 10) but the payment was made by May 20th , so this qualifies Guzman Housewares for the discount.

The net amount of cash received by Blue Company is  computed as follows:

Net sales = Gross sales - Returns inwards ( Sales returns)

              =  6,897 -  318 =$6,579

Cash received on account =  Net sales - discount

                           = =$6,579    - (3%×6,579) = $6,381.63

Cash received on account =$ 6381.63

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complete question:

Q 8.21: On May 12, 2017, Hudson Merchandise sold merchandise on account to Guzman Housewares for $6,897, terms 3/10, n/30. If Guzman returns merchandise with a sale price of $318 on May 15, 2017, what amount will Hudson record in their Cash account if Guzman pays in full on May 20, 2017

The average speed of the train can be calculated by dividing the total distance traveled by the total time taken. In this case, the train traveled a total distance of 30 km (10 km from X to Y + 20 km from Y to Z) and took a total time of 36 minutes (11.5 minutes + 0.5 minutes + 24 minutes). Converting the time to hours (36 minutes = 0.6 hours), the average speed of the train is 50 km/hr.

To calculate the average speed of the train, we need to divide the total distance traveled by the total time taken. Let's calculate each component:

1. Total distance: The train traveled 10 km from station X to station Y and then an additional 20 km from station Y to station Z, making a total distance of 30 km.

2. Total time: The train took 11.5 minutes to travel from X to Y, stopped at station Y for 0.5 minutes, and then took another 24.0 minutes to travel from Y to Z, making a total time of 11.5 minutes + 0.5 minutes + 24.0 minutes = 36 minutes.

To convert the total time to hours, we divide it by 60 (since there are 60 minutes in an hour): 36 minutes / 60 = 0.6 hours.

Finally, we can calculate the average speed by dividing the total distance (30 km) by the total time in hours (0.6 hours): 30 km / 0.6 hours = 50 km/hr.

Therefore, the average speed of the train is 50 km/hr.

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The slope of the line that contains these points is 0.75.

The slope of a line is the change in y-values divided by the change in x-values. In other words, it is the rise over the run. We can use the points given to calculate the slope.

Let's take the first two points (9, -24) and (13, -21) and use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

slope = (-21 - (-24)) / (13 - 9)

slope = (3) / (4)

slope = 0.75

We can do the same with the other two points (17, -18) and (21, -15):

slope = (-15 - (-18)) / (21 - 17)

slope = (3) / (4)

slope = 0.75

Since the slope is the same for both sets of points, we can conclude that the slope of the line that contains these points is 0.75.

The slope of the line that contains these points is 0.75.

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