Identify the domain of the function shown in the graph.
A
B
C
D

Answer:

$8

Step-by-step explanation:

Answer: $8

Step-by-step explanation: you do 32/16 and get 2 and then you just multiple $4 x 2

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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Answer: The least common denominator is 12

x= -3/12

Simplified:  -1/4

Step-by-step explanation:

Do 7/12 - 5/6

     7/12 - 10/12

    = -3/12

Simplified: -1/4

(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1

The dimension of U is n - 1

(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:

If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.

If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.

Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.

As a result, U is a subspace of L. (V, W).

(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:

Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).

Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).

As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.

(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.

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The order of the element a in the factor group g/h is the smallest positive integer n such that a^n is in the subgroup h.

In mathematics, the concept of a group is used to describe a set of elements with a binary operation that satisfies certain properties. The binary operation could be addition, multiplication, or some other operation.

In other words, the order of an element a in a factor group g/h is the smallest number n such that when the element a is multiplied by itself n times, the result is an element in the subgroup h.

The order of an element provides information about the cyclic structure of the group and can be used to determine important properties of the group, such as its structure and size.

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The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.

Hence, Option (B) is correct.

Since, We know that,

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

Hence, We can formulate;

m ∠ABC +  m ∠ADC  = 180°

m ∠ABC + 94° = 180°

m ∠ABC = 180° - 94°

m ∠ABC = 86°

Similarly, one can find m∠DCB

m∠DAB +  m∠DCB  = 180°

99° + m∠DCB = 180°

m∠DCB = 180° - 99°

m∠DCB = 81°

Hence, m∠ABC = 86°

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Answer:

4 61/90

Step-by-step explanation:

6 - 2 = 4

9 / 10 - 2 / 9 = 61 / 90

Answer:

Step-by-step explanation:i think it's the second one

ion know

A translation followed by a reflection

Using trigonometric functions,

Sin X = 9/15

= 3/5

Cos X = 12/15

= 4/5

Tan X = 12/9

= 4/3

Sin W = 12/15

= 4/5

Cos W = 9/15

= 3/5

Tan W = 9/12

= 3/4

Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Many trigonometric identities and formulas indicate the relationship between the functions and aid in determining the triangle's angles. The relationship is given as follows:

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

As per the Pythagoras theorem,

WX = √ (WY²+XY²)

= √9²+12²

= √225

= 15

Now using trigonometric functions, the value of the angles is as follows:

Sin X = 9/15

= 3/5

Cos X = 12/15

= 4/5

Tan X = 12/9

= 4/3

Sin W = 12/15

= 4/5

Cos W = 9/15

= 3/5

Tan W = 9/12

= 3/4

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9514 1404 393

Answer:

  y = 1/4x -2

Step-by-step explanation:

The line rises one unit from -2 to -1 as x changes from 0 to 4. The slope is ...

  m = rise/run = 1/4

The y-intercept (b) is where the line crosses the y-axis, at y = -2.

The equation in slope-intercept form is ...

  y = mx + b

  y = 1/4x -2

To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:

Total number of months = 8 years x 12 months/year = 96 months

Next, we can calculate the interest for half a month:

Interest = Principal x Rate x Time

Where:

- Principal = $90,900.00

- Rate = 8.25% (annual interest rate)

- Time = 0.5/12 years (half a month, expressed in years)

Rate needs to be converted to a monthly rate, so we divide it by 12:

Rate = 8.25% / 12 = 0.6875% (monthly interest rate)

Time needs to be expressed in years, so we divide it by 12:

Time = 0.5/12 years

Now we can calculate the interest:

Interest = $90,900.00 x 0.006875 x 0.0416667

Interest = $25.08 (rounded to the nearest cent)

Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.

Answer:

The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64

Step-by-step explanation:

Make a plan:

Draw the conclusion:

Hope this helps!

Answer:

x^2-x+3

Step-by-step explanation:

(x^3-5x^2+7x-12)÷(x-4)

x^3−5x^2+7x−12

Factors of 12,

1,2,3,4,6,12

Substitute 4 into x. Since the result is 0, x-4 is a factor..

4^3−5×4^2+7×4−12=0

x-4

        x^2      -x             3

x-4 |  x^3   -5x^2 7x    -12

        x^3   -4x

                -x^2   7x  -12

                -x^2   4x

                          3x  -12

                          3x  -12

x^2−x+3

(x^2−x+3)(x−4)

        x−4

(x^2−x+3)

Answer = x^2-x+3

Hopes this helps

The probabilities of picking the real numbers are 0.52 and 0.88, respectively

The probabilities in this case, is the area covered by each region

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

Real number between 3 and 5

Here, we have the area to be

Region B

The area of region B is 0.56

So, we have

Probability = 0.56

Real number between 3 and 7

Here, we have the area to be

Region B and Region C

The areas of these regions are 0.56 and 0.32

So, we have

Probability = 0.56 + 0.32

Probability = 0.88

Hence, the probability is 0.88

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Answer:

\( y = \frac{ 2}{ 3} x - 2\)

Step-by-step explanation:

\(2x - 3y = 6 \\ - 3y = - 2x + 6 \\ \\ y = \frac{ - 2}{ - 3} x + \frac{6}{ - 3} \\ \\ \huge \purple{ \boxed{ y = \frac{ 2}{ 3} x - 2}} \\ this \: is \: in \: the \: slope - intercept \: form.\)

Answer:

y = 2/ 3 x − 2

Step-by-step explanation:

slope intercept is y=mx+b

The distance between the two ships after 8 hours is 192 miles.

The problem requires the use of the law of cosines to find the distance between the two ships. To do this, we can use the formula:

c^2 = a^2 + b^2 - 2abcos(θ)

Where:

c is the distance between the two ships,

a and b are the distances traveled by each ship, and

θ is the angle between the two vectors representing the distances traveled.

Since the ships are sailing on different bearings, the angle between their distances traveled will be 180 degrees. Hence, the cosine of this angle is -1.

Given that the ships are traveling at speeds of 24 mph and 28 mph, we can calculate the distances traveled by each ship as follows:

a = 24 mph * 8 hours = 192 miles

b = 28 mph * 8 hours = 224 miles

Using these values in the formula, we can find the distance between the two ships:

c^2 = 192^2 + 224^2 - 2 * 192 * 224 = 36864

c = sqrt(36864) = 192 miles

Therefore, the distance between the two ships after 8 hours is 192 miles.

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Answer:

d, 3 5/8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

that's a six tickets for $48 there for F1 tickets we don't know the price of each ticket...divide 48/6

Answer:

0.108

Step-by-step explanation:

Given that:

Number of flights reached early = 65

Number of flights reached on time = 273

Number of flights reached late = 218

Number of flights canceled = 44

To find:

The probability that a flight is early.

Solution:

First of all, let us have a look at the formula for probability of an event E.

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Here, Event E is that the flight is early.

Number of favorable cases is equal to the number of a flights which reached early i.e. 65

Total number of cases is the total number of flights.

i.e. 65 + 273 + 218 + 44 = 600

So, the required probability is:

\(P(E) = \dfrac{65}{600} = \bold{0.108}\)

Answer: 18, 10, 6, 4

The first four terms of an arithmetic sequence are 18, 10, 6, 4 if the first term and the relationship between the a(n) and a(n+1) terms.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given the first term and the relationship between the a(n) and a(n+1) terms.

The first term:

a(1) = 18

The relationship:

a(n+1) = [2 + a(n)]/2

Plug n = 1

a(1+1) = [2 + a(1)]/2

a(2) = [2 + 18]/2

a(2) = 20/2

a(2) = 10

Plug n = 2 in the expression:

a(2+1) = [2 + a(2)]/2

a(3) = [2 + 10]/2

a(3) = 6

Plug n = 3 in the expression:

a(3+1) = [2 + a(3)]/2

a(3) = [2 + 6]/2

a(3) = 4

Thus, the first four terms of an arithmetic sequence are 18, 10, 6, 4 if the first term and the relationship between the a(n) and a(n+1) terms.

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It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.

Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Answer:

- 13

Step-by-step explanation:

\(log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13\)

Answer:

768

Step-by-step explanation:

64*12

Answer:

768

Step-by-step explanation:

12x64=768

The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

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The absolute value inequalities can be used to determine which streets are within tolerance would be; |W - 32| ≥ 0.5

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.

We have been given that a street built in the city must be 25 feet in width with a tolerance of 0.5 feet.

Let's consider that W is the width of the street.

Then the absolute value inequalities would be;

|W - 32| ≥ 0.5

Hence, absolute value inequalities can be used to determine which streets are within tolerance would be; |W - 32| ≥ 0.5

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The required value of y for the given segment AB is given as y = 16, -8.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.

To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.

So,

Interest = $13,000 x 0.07 x 5

Interest = $4,550

It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.

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