Which number line shows the solution to -6 -(-2)

Answer:

10 hours

Step-by-step explanation:

49kilograms/7hours = 7 kilograms per hour

70 kilograms ÷ 7 kilograms per hour = 10 hours

The amount that the item actually cost you after the discount is $28.

A discount simply means the amount that's is less off from a product.

The following information can be deduced:

Cost of item = $40

Sales off = 30%

The cost of the item will be:

= Cost - Discount

= $40 - (30% × $40)

= $40 - $12

= $28

The cost is $28.

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The statement is true. If the row [0 0 0 1 0] is in echelon form of an augmented matrix, then the associated linear system is always consistent. This means there is at least one solution to the system of linear equations.

Echelon form is a type of row-echelon form that has specific properties. In echelon form, the leading coefficient (non-zero element) of each row is strictly to the right of the leading coefficient of the row above it. In the given row [0 0 0 1 0], the leading coefficient is 1, and it is the only non-zero element in the row.

In an augmented matrix, the rightmost column represents the constants or the right-hand side of the linear equations. Since the leading coefficient in the given row is 1 and there are no non-zero elements to the left of it, this implies that the associated linear equation is of the form 0x + 0y + 0z + w = 0. This equation simplifies to w = 0.

Since w is a free variable and its value can be chosen as 0, the linear system is consistent. Every consistent system has at least one solution, and in this case, the solution is when w = 0, while x, y, and z can take any values.

Therefore, if [0 0 0 1 0] is one row in an echelon form of an augmented matrix, the associated linear system is always consistent.

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The flagpole is 35.43 meters tall

Distance of the flag from the cliff is 30m

Angle of elevation to the flagpole is 35°

Angle of elevation to the top of the cliff is 20°

To solve this we would apply the sine rule.

The sine rule states that \(\frac{sin A}{a} = \frac{sin B}{B}\)

Taking a look at the attached image, we see that

b = 30

B = 70°

a = ?

A = 20°

Applying the formula, we have

\(\frac{sin20}{a} = \frac{sin 70}{30}\)

asin(70) = 30sin(20)

a = \(\frac{30sin20}{sin70}\)

a = \(\frac{27.388}{0.773}\)

a = 35.43 meters

Answer:

31%

Step-by-step explanation:

4222÷6101=.69

1879÷6101=.31 is the percent of graduates

There is a 38.51% probability that a randomly chosen applicant will score between 550 and 650 which is derived through standard normal distribution method.

It is given to us that the scores of the applicants for graduate school are normally distributed with -

Mean(μ) = 560

and, Standard deviation (σ) = 90

We have to find out the probability of a randomly chosen applicant will score between 550 and 650.

We have to use the standard normal distribution method in order to find out the required probability.

According to standard normal distribution curve method,

Z = (X-μ)/σ

=> Z = (550-560)/90 and, Z = (650-560)/90

=> Z = -0.11 and Z = 1.00

The probability will be with respect to the corresponding z-tables which is equal to = (0.3413+0.0438)

= 0.3851

Thus, the probability of a randomly chosen applicant will score between 550 and 650 is 0.3851 or 38.51%.

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Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

The method that intervention development will be influenced by the ABC data that are gathered on the function of the target behavior is through the determination of how the ABC contingency can be changed to encourage more positive behavior.

By identifying the functional reinforcers that sustain problem behavior, practitioners can create therapies that are more effective (i.e., from a smaller pool of potential interventions to choose from) and efficient.

Linking therapies to the outcomes of functional assessments has become accepted clinical practice and is now covered by both federal and state laws. This represents a significant and advantageous change in the method of behavioral intervention.

Therefore,

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

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....................................................

My = k ∫∫R x^2 dA

= k ∫0^(π/2) ∫0^3 (r cos θ)^2 r dr dθ

= k ∫0^(π/2) ∫0^3 r^3 cos^2 θ dr dθ

= k

To find the center of mass of the lamina, we need to first find the mass and the moments about the x- and y-axes.

The density of the lamina is given by p(x,y) = kx, where k is a constant of proportionality.

The limits of integration for y are from -3 to 3 (since the parabola x = 9 - y^2 is symmetric about the y-axis), and the limits of integration for x are from 0 to the value of x on the parabola, which is x = 9 - y^2.

Thus, the mass is given by:

m = ∫∫R p(x,y) dA

= ∫∫R kx dA

= k ∫∫R x dA

where R is the region bounded by the parabola x = 9 - y^2 and the y-axis.

To find the moments, we need to multiply the integrand by the position of each small element of area dA with respect to the axis of rotation. For the moment about the y-axis, the position of each element is x, and for the moment about the x-axis, the position is y.

Thus, the moments are given by:

Mx = ∫∫R y p(x,y) dA

= ∫∫R kyx dA

= k ∫∫R xy dA

My = ∫∫R x p(x,y) dA

= ∫∫R kx^2 dA

= k ∫∫R x^2 dA

To evaluate these integrals, we need to switch to polar coordinates. The transformation to polar coordinates is given by x = r cos θ and y = r sin θ, where r is the radial distance from the origin and θ is the angle that the radial line makes with the positive x-axis.

The region R is defined by the inequality x ≥ 0, which corresponds to the sector of the circle r = 3 in the first quadrant. Thus, the limits of integration for r are from 0 to 3, and the limits of integration for θ are from 0 to π/2.

Using the transformation to polar coordinates, we get:

m = k ∫∫R x dA

= k ∫0^(π/2) ∫0^3 (r cos θ) r dr dθ

= k ∫0^(π/2) ∫0^3 r^2 cos θ dr dθ

= k [sin(θ/2) - 3 sin(3θ/2)/2] from θ = 0 to π/2

= (3k/2) sin(π/4)

= (3k/2√2)

Mx = k ∫∫R xy dA

= k ∫0^(π/2) ∫0^3 (r cos θ) (r sin θ) r dr dθ

= k ∫0^(π/2) ∫0^3 r^3 sin θ cos θ dr dθ

= 0

since the integrand is an odd function of r.

My = k ∫∫R x^2 dA

= k ∫0^(π/2) ∫0^3 (r cos θ)^2 r dr dθ

= k ∫0^(π/2) ∫0^3 r^3 cos^2 θ dr dθ

= k

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Arc length = π r^2 (Θ/360)

There is a squared radius that can't be in the formula. The result will be an area instead of a length.

Answer:

See the attachment.

Answer:

Price of child ticket: 17.

Price of adult ticket: 23

Step-by-step explanation:

25 times 17 equals 425.

1,115 minus 425 equals 690.

690 divided by 30 is 23.

425 plus the 2 adult tickets (23 plus 23 which is 46) would be 471, therefore 17 per child ticket and 23 per adult.

Answer:

8 (1 + 6)

Step-by-step explanation:

Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 8 + 48?

Step 1

We find the Greatest Common Factor of 8 and 48

The factors of 8 are: 1, 2, 4, 8

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 8.

Step 2

We find the other part of the Distributive property

8 + 48 = 56

Hence =

56 = 8 × 7

Hence:

8(7)

= 8 (1 + 6)

Therefore,

8 + 48 = 8(7)

8 + 48 = 8(1 + 6)

Answer:

7.01×10'0

snap. Jona_Fl16

Answer: 7.01×10^0

Step-by-step explanation:

7.01×10^0=7.01

7.01*1

7.01

Answer:

a) 18.38

b) 4918.38

c) 18.44

d) 4936.82

e) 18.51

f) 4955.33

Step-by-step explanation:

Given

A \(= 4900\)

r \(= \frac{1.5}{100} =0.015\)

m \(= 4\)

a)

I1

\(= 4900 *( 1 +\frac{0.015}{4})^{4 *\frac{3}{12}} -4900\\= 4918.38-4900\\= 18.38\)

b) \(4918.38\)

c)

\(= 4918.38 *( 1 +\frac{0.015}{4})^{4 *\frac{3}{12}} -4918.38\\= 4936.82-4918.38\\= 18.44\)

d) \(4936.82\)

e)

\(= 4936.82 *( 1 +\frac{0.015}{4})^{4 *\frac{3}{12}} -4936.82\\= 4955.33-4936.82\\= 18.51\)

f) \(4955.33\)

Answer:

Step-by-step explanation:

1/4 revolution

Answer:

103

Step-by-step explanation:

the line is 180 degree angle also know as a straight angle if you take the 40 and the 33 away from 180 you are left with 103 and that is angle a

No, they should not adjust the parameters to weaken that character based on this sample alone.

To make a decision about adjusting the parameters of a character based on a test of significance, we need to determine if the observed outcome (winning 232 out of 400 contests) is unlikely to occur by chance alone, assuming the character's current parameters are the same. This is done by calculating a p-value, which represents the probability of observing a result as extreme or more extreme than the one we observed, assuming the null hypothesis is true (i.e., the parameters are the same).

If the p-value is very small (e.g., less than 0.05), we reject the null hypothesis and conclude that the observed outcome is unlikely to occur by chance alone and that the character's parameters may need to be adjusted. However, if the p-value is not small (e.g., greater than 0.05), we fail to reject the null hypothesis and conclude that the observed outcome is not statistically significant and that the character's parameters may not need to be adjusted.

In this case, we can calculate the p-value using a binomial test. The null hypothesis is that the probability of winning a contest is 0.5 (i.e., the character is equally likely to win or lose). The alternative hypothesis is that the probability of winning is less than 0.5 (i.e., the character is more likely to lose). Using a one-tailed binomial test with a significance level of 0.05, we find that the p-value is approximately 0.013, which is less than 0.05. Therefore, we reject the null hypothesis and conclude that the observed outcome is statistically significant and that the character's parameters may need to be adjusted.

However, it is important to note that this decision should not be based solely on this sample. It is possible that the sample is not representative of the true population of contests involving the character, and that a larger sample may lead to a different conclusion. Therefore, it is important to consider the context of the situation and gather additional information before making a final decision about adjusting the character's parameters.

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Answer:

Part A: Identify the coefficients and variables in the expression.

The variables in the expression is:

The number of shifts he works in the theater is represented by x

The number of dog walking jobs is represented by y

The coefficients =

Amount paid for each shifts = $92

Amount paid for each dog walking jobs = $13.

Part B: How many terms are in the expression, what are they, and how do you know?

There are two terms in the expression

They are: 92x and 13y

Part C: Which term in the expression shows the total earned from the dog walking jobs?

13y

Step-by-step explanation:

Each week, Arnold earns $92 for every shift he works at the theater and $13 for every dog-walking job. He uses the expression 92x + 13y to keep track of his earnings.

Part A: Identify the coefficients and variables in the expression. (3 points)

The variables in the expression is:

The number of shifts he works in the theater is represented by x

The number of dog walking jobs is represented by y

The coefficients =

Amount paid for each shifts = $92

Amount paid for each dog walking jobs = $13.

Part B: How many terms are in the expression, what are they, and how do you know?

The expression:

Total earnings = 92x + 13y

There are two terms in the expression

They are: 92x and 13y

Part C: Which term in the expression shows the total earned from the dog walking jobs?

Since the number of dog walking jobs is represented by y, the expression shows the total earned from the dog walking jobs is 13y

On solving the provided question we can say that by linear equation x = 12 and y = 35

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

as here we have,

There are =  63 days left in the marking period.

so, Marking Period 3rd Grading Period 21 - 22 January 3, 2022 March 11, 2022 =

63x + 21y = 100

22x + 3y = 64

and, x = 12 and y = 35

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For the first polynomial " \(x^2 +2x-8=(ax+b)(cx+d)\) " a=1,b=-2,c=1, and d=4.

For second polynomial "\(2x^3+2x^2-24x=2x(ax+b)(cx+d)\)" a = 1, b = -3, c = 1, and d = 4.

For the third polynomial" \(6x^2-15x-9=(ax+b)(cx+d)\) " a = 2, b = 1, c = 1, and d = -3.

In the table values of the coefficient for the first polynomial are  a=1,b=-2,c=1 so d=?.

                 \(x^2 +2x-8=(ax+b)(cx+d)\\\\ x^2 +2x-8=acx^2+(ad+bc)x+bd\)

comparing coefficients on both sides

                    ac=1 ; ad+bc=2 ;bd=8

putting values in ad+bc=2 to get the value of d.

                           (1)d+(-2)(1)=2

                               d=2+2

                                 d=4.

depending on the value of coefficients in your table you can calculate the value of the second and third polynomials.

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The car needs to make the desired speed adjustment at a distance of approximately 74.58 meters.

a) To convert 60 mph to meters per second, we need to convert miles to kilometers and then to meters.

1 mile = 1.609 kilometers

1 kilometer = 1000 meters

Therefore,

60 mph = (60 * 1.609 * 1000) meters / (60 * 60) seconds

Calculating the conversion:

60 mph = 26.8224 meters per second

b) The acceleration of the Tesla Model 3 is the change in velocity divided by the time taken.

Using the equation:

Acceleration = (Final Velocity - Initial Velocity) / Time

Given:

Initial Velocity (Vi) = 0 m/s

Final Velocity (Vf) = 26.8224 m/s

Time (t) = 3.1 seconds

Acceleration = (26.8224 m/s - 0 m/s) / 3.1 seconds

Calculating the acceleration:

Acceleration = 8.6498 m/s^2

c) To find the distance needed to make the desired speed adjustment at a maximum acceleration of 1.2 m/s^2, we can use the following kinematic equation:

Vf^2 = Vi^2 + 2ad

Where:

Vf = Final velocity (24.6 m/s)

Vi = Initial velocity (34.4 m/s)

a = Acceleration (-1.2 m/s^2) since the car is decelerating

d = Distance

Rearranging the equation:

d = (Vf^2 - Vi^2) / (2a)

Substituting the given values:

d = (24.6^2 - 34.4^2) / (2 * -1.2)

Calculating the distance:

d ≈ 74.58 meters

Therefore, the car needs to make the desired speed adjustment at a distance of approximately 74.58 meters.

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The maximum purchase price per unit of the component that Ms. Alexander should negotiate with her supplier is $19.00, which is equal to the variable cost per unit to manufacture the part in-house.

In this scenario, Ms. Alexander needs to determine the maximum price per unit that she should be willing to pay the supplier for the component. She conducted a cost analysis and found that manufacturing the part in-house would require $450,000 in capital equipment and have a variable cost of $19.00 per unit.

Since there is no fixed cost associated with purchasing the component from the supplier, the maximum purchase price per unit should not exceed the variable cost per unit of manufacturing in-house. This ensures that the company does not incur additional costs by outsourcing the component.

Therefore, Ms. Alexander should negotiate a price with the supplier that is equal to or lower than the variable cost per unit, which is $19.00. By doing so, the company can avoid the initial capital investment and ongoing variable costs associated with in-house production, making it more cost-effective to purchase the component from the supplier.

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The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

Answer:

10 * 50%

Step-by-step explanation:

It is simple

just do 10/100 * 50

and you have your answer

Answer:

22cm and 16 1/2 cm is the answer

Write the ratio as a fraction and multiply with each dimension

If a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.

Given the following measurement of a photograph:

To enlarge the photograph using a scale factor of 11:4 (11/4), multiply the scale factor by each of the dimensions.

Thus:

Therefore, if a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.

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The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles

The conditional statement is given as:

If two angles are congruent, then they are vertical angles.

The above statement is false because not all congruent angles are vertical angles

A counterexample of this statement is a corresponding angle

i.e. corresponding angles are congruent angles, but they are not vertical angles

Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle

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