Select all the equations that represent the line.


Multiple select question.

A)

2x – 3y= –1

B)

2x+3y= –3

C)

3x – 2y=2

D)

y+3= –23(x – 3)

E)

y – 1= –23(x+3)

F)

y+1= –32(x+3)

Sides of first rectangle are 12 inches and 6 inches

and sides of second rectangle are 10 inches and 5 incheAnswer:

Step-by-step explanation:

Ratio of bases = 12/10 = 6/5

Ratio of altitudes = 6/5

By applying the definition of similar rectangles and proportion, the height of the smaller rectangle is: 2 inches.

Recall:

Thus:

We will have the following proportion:

\(\frac{10}{4} = \frac{5}{x}\)

\(x = \frac{20}{10} \\\\\mathbf{x = 2}\)

The height of the smaller rectangle is 2 inches.

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To find the values of z that make the product with the complex number 5-6i a real number, we need to consider the imaginary part of the product.

The product of z and 5-6i can be written as:

z * (5 - 6i)

Expanding this expression, we get:

5z - 6zi

For the product to be a real number, the imaginary part (-6zi) must be equal to zero. This means that the coefficient of the imaginary unit i, which is -6z, must be zero.

Setting -6z = 0, we find:

z = 0

So, one possible nonzero value of z is 0.

However, since we are looking for nonzero values of z, we need to find another value that satisfies the condition.

Let's consider the equation for the imaginary part:

-6z = 0

Dividing both sides of the equation by -6, we have:

z = 0/(-6)

z = 0

Again, we find z = 0, which is not a nonzero value.

Therefore, there are no other nonzero values of z that make the product with the complex number 5-6i a real number. The only value that satisfies the condition is z = 0.

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

I was not aware of the "daily limit" thing for answers

Step-by-step explanation:

It's impossible to say Sean should base his decision on the marginal cost and marginal benefit of creating another table. The marginal cost of making a table is not the same as the average cost of making a table. As a result, there is insufficient information to determine what Sean should do.

The opportunity cost of an activity is the value of what must be sacrificed in order to engage in the activity (plus the cost). A cost that cannot be recovered at the time a decision must be made.

The science of decision-making is often used as a crude definition of economics. This stems from the fact that economics is frequently concerned with making the best decision in the most efficient manner. One way to quantify this is to consider total costs and total benefits.

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Answer:

83.33 cajas estándar de frambuesas y 51.67 cajas de lujo de frambuesas.

Step-by-step explanation:

Representemos el número de cajas como

A = caja estándar de frambuesas

B = caja de lujo de frambuesas

Caja estándar de frambuesas = $ 7 Caja de lujo de frambuesas = 10.

A + B = 135 ......... Ecuación 1

B = 135 - A

7A + 10B = 1100 ........... Ecuación 2

Sustituir

135 - A para B en la ecuación 2

7A + 10 (135 - A) = 1100

7A + 1350 -10A = 1100

7A - 10A = 1100-1350

-3A = - 250

A = 250/3

A = 83.33 cajas

Sustituye 83.33 por A en la ecuación 1

A + B = 135

83,33 + B = 135

B = 135 - 83.33 = 51.67 cajas

Por lo tanto, vendió,

83.33 cajas estándar de frambuesas y 51.67 cajas de lujo de frambuesas.

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

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

Answer:

He needs a score of 28.7315 to qualify for the scholarship

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the ACT is 21 with a standard deviation of 4.7

This means that \(\mu = 21, \sigma = 4.7\)

What score does he need in order to qualify for the scholarship?

The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 21}{4.7}\)

\(X - 21 = 4.7*1.645\)

\(X = 28.7315\)

He needs a score of 28.7315 to qualify for the scholarship

Column vectors of the given matrix are linearly dependent and the matrix is not invertible.

The column vectors of the given matrix are linearly dependent because the first and third columns sum to give the second column. The matrix is therefore not invertible.

To prove that the column vectors are linearly dependent, we can look at the equations of the column vectors:
Column 1: (1, 0, 5)
Column 2: (1, -6, 0)
Column 3: (-2, 0, 8)

We can see that if we add the first and third columns, we get the second column. This shows that the column vectors are linearly dependent.

To prove that the matrix is not invertible, we can calculate the determinant of the matrix. The determinant of the matrix is 0, which shows that it is not invertible.

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The general solution of the differential equation is y(x)=x−16ln|x|+1,  the graph for the equation is attached herewith.

For finding  the solution for the differential equation , we need to integrate it, where the initial values are considered to be the  lower limit of the integration

dy/dx=x−16/x , separating the like variables

dy=x−16xdx , now integrating both sides with  x=-1, y=0  and   x=x, let y=y(x)

∫y(x)0 dy=∫x −1[x/x−16/x]dx

∫y(x)0dy=∫x−1[1−16/x]dx

= [y] (y(x),0) =[x−16ln|x|] x, −1

=y(x) −0 =[x−16ln|x|] − [(−1)−16ln|(−1)|]

=y(x)=[x−16ln|x|]−[−1−16ln|1|]

y(x)=x−16ln|x|+1+16(0)   ,  as   ln|−1|=ln|1|=0]

=y(x)=x−16ln|x|+1

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Find the general solution of the differential equation. Use a graphing utility to graph three solutions, one of which passes through the given point.

dy/dx=x−16/x(−1,0)

Answer:

no 4 isnt. if it was that means it would be 12+8=4. its correct

the correct answer is 3(-4/3)+8=4

Step-by-step explanation:

Answer:

The measurement of angle A is 60° (vertical opposite angle)

The measurement of angle B is 135°(linear pair)

The measurement of angle C is 75°(linear pair)

so the answer is 4

how to get the answer

\((-24)\) ÷ \(-6+10\)

take the last part

\(-6+10\)

and you would solve that

it would be 4

Answer:

Option A

Step-by-step explanation:

\(\frac{1}{a^{-m}}=a^{m}\\\)

\(\frac{m^{7}n^{3}}{mn^{-1}}=\frac{m^{7}n^{3}n^{1}}{m}=\frac{m^{7}n^{3}n}{m}\)

The translation transformation of the parent function in the graph, indicates that the equation for each of the specified graphs, using the form y = f(x - h) + k, are;

a. y = f(x) + 3

b. y = f(x - 3)

c. y = f(x - 1) + 2

A transformation of a function is a function that takes a specified function or graph and modifies them into another function or graph.

The points on the graph of the specified function f(x) in the diagram are; (0, 0), (1.5, 1), (-1.5, -1)

The graph is the graph of a periodic function, with an amplitude of (1 - (-1))/2 = 1, and a period of about 4.5

Therefore, we get;

a. The graph in part a consists of the parent function shifted up three units. The transformation that can be represented by the vertical shift of a function f(x) is; f(x) + a or f(x) - a

Therefore, the translation of the graph of the parent function is; f(x) + 3

b. The graph of the parent function in the graph in part b is shifted to the right two units, and the vertical translation is zero units, down or up.

The translation of the graph of a function by h units to the right or left can be indicated by an subtraction or addition of h units to the value of the input variable, therefore, the translation of the function in the graph of b is; y = f(x - 3) + 0 = f(x - 3)

c. The translation of the graph in part c are;

A vertical translation 2 units upwards

A horizontal translation 1 unit to the right

The equation representing the graph in part c is therefore; y = f(x - 1) + 2

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The following are all feasible lengths for the third side: 35 feet 22 feet 16 feet 17 feet

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees.

The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base make up the sides that the right angle is formed from.

The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

A triangle's third side can never be larger than the sum of the other two sides, which is

27 + 11 = 38

So, of all the alternatives, only the first option—39 feet—is greater than 38.

The following are all feasible lengths for the third side:

35 feet 22 feet 16 feet 17 feet

because none of these lengths exceed 38 (the sum of the other 2 sides).

The Complete Question.

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Answer:

CP of computer = 27000 rs.

Step-by-step explanation:

D% = Dis/MP*100

We know, Dis = MP-SP

Given Profit= 1160 rs.

So,CP = 27000 rs.

Answer:

7, 7/1

Step-by-step explanation:

The ratio 7:49 can be simplified to 1:7.

Since the proposed side length of the square is between 6 and 7, we can assume that it is 6.5 hence, the lengths will be d = 6.5 and c = 9.19.

Here is what we were given:

Side length of square = 6 > x <7

A convenient assumption for this is 6.5

We also know that d and c and the base of two right triangles. where their hypotheses' are equal to the side lenght of the square = 6.5

we also know that the in between the line formed by D and C is a 90 degree angle.

Hence the sum of the other angle will be 45 degrees each.

This is  based on sum of angles in a triangle.

Hence,

c = b /sin(β)

= 6.5/sin (45)

= 6.5/0.70710678118

 c = 9.19

d = √c² - b²

 = √(9.19238815542512² - 6.52²)

= √42.25

d = 6.5

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A quadrilateral with all sides congruent and the shape of a baseball diamond is called a Rhombus (option c).

A rhombus is a quadrilateral with the shape of a baseball diamond with all of its sides being congruent. A unique variety of parallelogram called a rhombus has four equal sides. In the case of a baseball diamond, the base paths form four sides of equal length, creating a rhombus shape.

The angles of a rhombus are not necessarily right angles like a rectangle, and it is not a trapezoid because it has two pairs of parallel sides. Therefore, the correct answer is a rhombus, as it describes the specific characteristics of a quadrilateral with congruent sides, which resembles the shape of a baseball diamond. The correct option is c.

The complete question is:

A quadrilateral with all sides congruent and the shape of a baseball diamond is called a:

A. rectangle

B. trapezoid

C. rhombus

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Answer:

Revenue = 1.25x * (45-5x)

Revenue = 56.25x - 6.25x^2

Therefore, the answer is A) 56.25x - 6.25x^2.

The teacher could use a hypothesis test for a population mean in the following situation:

The teacher wants to determine if computer-based instruction has a statistically significant effect on the average test scores of students in the class. The teacher can collect a sample of test scores from students who received computer-based instruction and a sample of test scores from students who did not receive computer-based instruction. Then, the teacher can use a hypothesis test for the population mean to compare the mean test scores of the two groups and determine if the difference is statistically significant.

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Complete question:

teacher is experimenting with computer-based instruction In which situation could the teacher use a hypothesis test for a ifference in two population means?

O The teacher uses a combination of treditional methods and computer based instruction She asks students # they lked computer based instruction better She wants to determine if the maorty prete the computer-based instruction

O She gives each student a pretest Then she teaches a lesson using a computer program Afterwards, she gives each student a postest The teacher wants to see f the difference in scores willshow an improvement 。

She ran om y d des the class into t goups One gup ecerves computer based instruction The other group recen es tradit na n rete wit t copters Ahe rst eten een student ha to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem 。She gives each student a pretest he then randomly dvides the class mto two groups.

Ο e group receves compte based i struct . The other go p eceves tradtind rst cto with t computers After instruction each student takes a post test. The teacher compares the improvement in scores (post test minus pretest) in the two groups

Answer:

  they bisect each other

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

__

If they are the same length, the parallelogram is a rectangle. If they cross at right angles, it is a rhombus.

To convert the FSM (Finite State Machine) to a controller using a state register and logic gates, follow these steps:
1. Identify the states of the FSM: Review the FSM you created for exercise 3.30 and list down all the states it contains.

2. Design the state register: Create a state register that can store the different states of the FSM. You can use flip-flops or any other suitable storage device.

3. Implement the logic gates: Use logic gates (such as AND, OR, and NOT gates) to implement the transitions between different states. Connect the outputs of the logic gates to the inputs of the state register.

4. Connect the state register to the FSM: Connect the outputs of the state register to the inputs of the FSM to control its behavior based on the current state.

5. Test and verify: Test the controller by simulating different inputs and checking if it transitions between the states correctly according to the desired behavior of the original FSM.

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Using the data in the stem- and -leaf plot, mean value of given data is 4.59 feet means that a typical throw of the ball results in 4.59 feet.

Mean or arithmetic mean is the ratio of sum of all the observation to the number of observations in a data set. It is given by the formula,

                                  \(Mean = \frac{sum of observations}{number of observations}\)

The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.

The data are given below:

2.0, 2.1, 3.3, 3.1, 3.1, 5.4, 5.1, 5.3, 4.5, 4.0, 8.6, 8.2.

Number of data = 12.

\(Mean = \frac{sum of observations}{number of observations}\)

         = \(\frac{2.0+2.1+3.3+3.1+3.1+5.4+5.1+5.3+4.5+4.0+8.6+8.2}{12}\)

         =\(\frac{54.7}{12}\)

         = 4.59 feet.

Hence, using the data in the stem- and -leaf plot, mean value of given data is 4.59 feet means that a typical throw of the ball results in 4.59 feet.

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Answer:4.59 feet; The value means that a typical throw of the ball results in 4.59 feet.

Step-by-step explanation:

i did in class want it to help yall ik how hard school can be

Using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, they require at least 100 sushi pieces.

24 pieces of sushi had previously been ordered and paid for by Sofia.

Roll sushi is available.

Each roll = 12 pieces at $8

R = additional rolls that Sofia orders

Additional sushi = Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

A roll contains 12 pieces.

76/12 = 6.33

Rolls must be ordered by Sofia.

She will therefore place 7 additional sushi rolls, each with 12 pieces.

12*7=84 pieces

Remember that they need at least 100 pieces, so there may be more than 100 in total.

84 pieces plus the 24 pieces Sofia has previously ordered.

The total number of pieces will be 108.

Therefore, using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

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Complete question:
Sofia ordered sushi for a company meeting. They change plans and increase how many of people

will be at the meeting, so they need at least 100 pieces of sushi in total.

Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.

The sushi comes in rolls, and each roll contains 12 pieces and costs $8. How many more sushi Sofia will order and of what amount?

Answer:

A) He used an incorrect time ratio converting hours to minutes.

D) He incorrectly concluded that she is not running fast enough.

Step-by-step explanation:

Got it right on Edge ✿♥‿♥✿

Answer:

Step-by-step explanation:

a.He used an incorrect time ratio converting hours to minutes.

d.He incorrectly concluded that she is not running fast enough.

If boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water, the distance from point A to point B is approximately 226.6 feet.

To find the distance from point A to point B, we can use the tangent function. Let x be the distance between point A and the lighthouse, and let y be the distance between point B and the lighthouse. We can then set up two equations based on the angles of elevation:

tan(13°) = 142/x

tan(20°) = 142/y

Solving for x and y, we get:

x = 142/tan(13°) ≈ 627.8 feet

y = 142/tan(20°) ≈ 401.2 feet

The distance between point A and point B is the difference between x and y:

x - y ≈ 226.6 feet

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Complete question is:

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 13 degree, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 20 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

Answer:

31.4 in

Step-by-step explanation:

the formula for circumference is 2*\(\pi\)*radius. Since the diameter (which is the radius multiplied by 2) is labeled we can divide 10 by 2 to get the radius. 10/2 is 5. Since pi is an infinite number, we round it to 3.14. Then, plug in the numbers. The expression will be 2*3.14*5. 2* = 10 and 10 * 3.14 you can just move the decimal so the answer is 31.4.

Answer:

X = -5/2

Step-by-step explanation:

Step-by-step explanation:

\(9x + 4 = 5x - 6\)

Collect like terms and simplify

\(9x - 5x = - 6 - 4 \\ 4x = - 10\)

Divide both sides of the equation by 4

\( \frac{4x}{4} = \frac{ - 10}{4} \)

Simplify

\(x = - \frac{5}{2} \)