Which ordered pair would form a proportional relationship with the point graphed below?

4 algebra books, 5 geometry and 2 chemistry books can be arranged in 5760 ways.

Given ,

4 algebra books , 5 geometry , 2 chemistry books,

The number of permutations =

2! x 5! x 4!

= (1 x 2) x (5 x 4 x 3 x 2) x (4 x 3 x 2)

= 2 x (120) x (24)

= 5760 ways.

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The radius of the cylinder is decreasing at the rate of 0.22 cm per second.

One of the most important and fundamental curvilinear of a geometric shapes, a right circular cylinder has historically been a three-dimensional solid.

Volume of a right circular cylinder = π r² h

Now we differentiate w.r.t to get :

[tex]\frac{dV}{dT} =2 \pi r h\frac{dr}{dt} + \pi r^2\frac{dh}{dt}[/tex]

Taking the values we get :

[tex]-34.3 = 154 \frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt} = -0.22[/tex]

Hence the radius is decreasing at the rate of -0.22 cm per second.

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Answer:

Step-by-step explanation:
Slope is gradient which is, change in y
                                              change in x
so, on the graph, change in y = 10-2.5 = 7.5
                              change in x = 5-0 =5
so, gradient is, 7.5/5
                     = 3/2

The two triangles are not similar to each other.

The perimeter of the triangle is the sum of the lengths of all its sides.

The angle of triangle = 62

The two equal angles = [4(x +2)] and (5x - 7)

According to the question,

The Perimeter of triangle are;

[4(x +2)] + (5x - 7) + 62 = 180

4x + 8 + 5x - 7 + 62 = 180

9x + 63 = 180

9x = 117

x = 13

The other triangle is

6x + 62 + 6x + 6 = 180

12x + 68 = 180

12x = 112

x = 9.33

Hence, the two triangles are not similar to each other.

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Answer:

1. 8 softballs

2. 16 softballs

3. 24 softballs

4. 32 softballs

5. 40 softballs

6. 48 softballs

Step-by-step explanation:

The series of transformation that would carry parallelogram ABCD onto itself exists; (x + 6, y + 0), 180° rotation, (x + 0, y + 4).

The coordinates of the vertex of the parallelogram are;

A(-5, 1), B(-4, 3), C(-1, 3), and D(-2, 1)

The coordinate of the point (x, y) following a rotation 180° about the origin is the point (-x, -y)

Following a rotation of the parallelogram ABCD about the origin we get;

A'(5, -1), B'(4, -3), C'(1, -3), and D'(2, -1)

Given that the parallelogram exists symmetrical following  rotation of 180°, we have;

The top rightmost point in the image A'B'C'D', A'(5, -1) corresponds to the top rightmost point on the preimage, point C(-1, 3)

Similarly, we have;

Point B'(4, -3), corresponds to point D(-2, 1)

Point D'(2, -1), corresponds to point B(-4, 3)

The difference in the corresponding points are;

Difference in x-values = 4 - (-2) = 6

Difference in y-values = -3 - 1 = -4

Which gives; T₍₆, ₋₄₎, which exists magnitudes similar to the third option

Therefore; by (x + 6, y + 0), 180° rotation, (x + 0, y + 4), we have;

Adding 6 to the x-values before rotation gives;

A''(-5 + 6, 1), B''(-4 + 6, 3), C''(-1 + 6, 3), and D''(-2 + 6, 1)

A''(1, 1), B''(2, 3), C''(5, 3), and D''(4, 1)

Rotating 180° about the origin gives;

A'''(-1, -1), B'''(-2, -3), C'''(-5, -3), and D'''(-4, -1)

Adding 4 to the y-values gives;

A''''(-1, -1 + 4), B''''(-2, -3 + 4), C''''(-5, -3 + 4), and D''''(-4, -1 + 4)

A''''(-1, 3), B''''(-2, 1), C''''(-5, 1), and D''''(-4, 3), which are the coordinates of the image;

A''''(-1, 3) ⇔ C(-1, 3)

B''''(-2, 1) ⇔ D(-2, 1)

C''''(-5, 1) ⇔ A(-5, 1)

D''''(-4, 3) ⇔ B(-4, 3)

Therefore, the series of transformation that would carry parallelogram ABCD onto itself are;

The complete question is:

What series of transformations would carry parallelogram ABCD onto itself?

(x + 0, y − 6), 180° rotation, (x − 2, y − 2)

(x + 0, y − 6), 90° clockwise rotation, (x − 2, y − 2)

(x + 6, y + 0), 180° rotation, (x + 0, y + 4)

(x + 6, y + 0), 90° clockwise rotation, (x + 0, y + 4)

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Answer: 1.6 kg

Step-by-step explanation:

Let the weight of bag B in kg be B.

Then, Bag A weights B+1.5 and bag C weighs B+0.5.

[tex]B+1.5+B+0.5+B=6.8\\\\3B+2=6.8\\ \\ 3B=4.8\\\\B=1.6[/tex]

Answer:

  (c)  see attached

Step-by-step explanation:

You want the number line that shows the solutions to |-2x| = 4.

The absolute value equation resolves to two equations:

The solution will be plotted on the number line as solid dots at -2 and 2, as shown in the attachment.

Answer:

C

Step-by-step explanation:

If there is a negative number in "I  I", then it becomes positive but if it is a positive number, then it remains positive

Answer:

I've included a visual representation

Step-by-step explanation:

i did the assigment yesterday

Answer: it

Step-by-step explanation:

!!!

The values x = 0, y = 0.03 and z = 0.039 for the three events A,B and C with their associated probabilities.

The following are axioms of probability for the purpose of answering the given question:

Two events are said to be mutually exclusive if the probability of their intersection is zero.

Two events are said to be independent if the probability of their intersection is equal to the product of their respective probability

From the question, the probability of the event A alone occurring=0.10

the probability of the event B alone occurring=0.30

the probability of the event C alone occurring=0.39

Given that B and C are mutually exclusive events;

x = probability of the intersection of B and C=0

A and C are said to be independent so; z = probability of the intersection of A and C = 0.10×0.39

probability of the intersection of A and C = 0.039

If A and B are not mutually exclusive events and are independent then;

y = probability of the intersection of A and B

probability of the intersection of A and B = 0.10×0.30

probability of the intersection of A and B = 0.03.

Hence, the values of x,y and z are 0, 0.03 and 0.039 respectively for the events A,B and C with their associated probabilities.

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Step-by-step explanation:

-7x(x-5)-(-14)(x-5)

-7x²+35+14x-70

-7x²-14x-35

Hope this is correct

Have a good day

The following table justifies the reasons of each step of the solution by stating the algebraic property that is used to get to each steps

Algebraic equations are defined as mathematical statements in which two algebraic expressions are set equal to each other. An algebraic expression usually consists of a variable, a coefficients and a constants.

          Statement                                                           Reason

4.5(8-x)+36=102-2.5(3x+24)                                           Given

4.5(8-x)=66-2.5(3x+24)                           Subtracting 36 from the both sides

36-4.5x=66-7.5x-60                       Opening the brackets on the both sides

36-4.5x=-7.5x+6                                       Subtracting the constants on RHS

36+3x=6                                                         Adding -7.5x on the both sides

3x=-30                                                    Subtracting 36 from the both sides.

x=-10                                                             Dividing by 3 on the both sides.

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The most appropriate choice for Quadratic equation and discriminant will be given by -

Discriminant = -244

What is Quadratic equation and discriminant?

At first it is important to know about equation.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

If [tex]ax^2 + bx + c = 0[/tex] ([tex]a\neq0[/tex]) is a quadratic equation, discriminant is given by

[tex]D = b^2-4ac[/tex].

Here,

The given equation is

[tex]7x^2+23x+168=6x^2+3x+7[/tex]

[tex]7x^2 - 6x^2 + 23x - 3x + 168 - 7 = 0 \\x^2 + 20x +161 = 0\\[/tex]

Discriminant = [tex]20^2 - 4 \times 1 \times 161[/tex]

                     = [tex]400 - 644[/tex]

                     = -244

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Answer:

A) y = 23°

B) ∠A = 67°, ∠C = 113°, ∠D = 113°

Step-by-step explanation:

Hello!

Angle A and B are vertical angles, meaning they are equal in measure. We can solve for y by setting the two equations equal to each other.

Vertical angles are the opposite angles formed by the intersection of 2 lines.

Supplementary angles are angles that add up to 180°.

The value of y is 23°.

Measure of Angle A is 67°, as Angle A and B are vertical and equal in measure

Measure of Angle C is 113°, because the sum of angles on a line are equal to 180°, and are supplementary.

Measure of Angle D is also 113°, because it is vertical to Angle C.

SOLUTION

First let us get the monthly rate

This can be gotten using the formula

Where P is principal,

r is the percent interet rate per year, so to get monthly interest is divide by 12

i is the monthly interet.

Using column 1 to determine the rate, we have

Now, the interest rate r = 6%

The starting principal becomes

Therfore, the answer is 150000 dollars

The figures after each reflection are given at the end of the answer.

The rule for the reflection over the x-axis is:

(x,y) -> (x, -y)

Hence the signal of the y-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(0,-2), B'(1,3) and C(2,-4)

The rule for the reflection over the x-axis is:

(x,y) -> (-x, y)

Hence the signal of the x-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(2,-4), B'(-6,2) and C'(-3,-5)

The rule for the reflection over the line y = -2 is:

(x,y) -> (x, y +/- constant)

The constants for each point are given as follows:

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The triangle QRS with points Q(8, -4), R(-1, 2), and S(3, 7). After the triangle is reflected across Y axis, then the coordinates of vertex Q are (-8, -4).

How to determine reflection coordinates?

These are the specified parameters:

Q(8, -4), R(-1, 2), and S(3, 7)

Determine the reflected of Q(8, -4) across Y-axis

A(a, b) ⇔ A' (-a, b)

Q(8, -4) ⇔ Q' (-8, -4)

Determine the reflected of R(-1, 2) across Y-axis

A(a, b) ⇔ A' (-a, b)

R(-1, 2) ⇔ R' (1, 2)

Determine the reflected of S(3, 7) across Y-axis

A(a, b) ⇔ A' (-a, b)

S(3, 7) ⇔ S' (-3, 7)

The coordinates of vertex Q after the triangle is reflected across the y-axi are (-8, -4).

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Answer:

  (d)  x²y²(x² − 3xy)

Step-by-step explanation:

You want to identify a rewrite of x⁴y² − 3x³y³ using a common factor among ...

Here, we write the expanded form of the answer choices to see if any is a fit for the given expression.

__

Additional comment

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

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Quinn got paid $121,560 in his first career and on switching, he made 55% less, i.e. he made 45% of his previous career.

This is because, if in a previous career he made 100%, then a 55% reduction in salary annually would mean, he is left with only 45%.

Let us suppose, previous salary as x

then, x= $121,560

so, 45% of x= 45% of $121,560

i.e. 45% of x= 45/100 x 121560

therefore, 45% of x= $54,702

Quinn makes $54,702 now.

Therefore, a reduction in 55% of earlier salary would mean that Quinn's salary reduced from $121,560 to $54,702

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Answer:

7.5/9 = 0.83333

0.83333 = 5/6

7 1/2 / 9 = 5/6

Using a graphing calculator, the features of the function are given as follows:

In a graph, the domain and the range of the function are given as follows:

This function is defined for all real values and also assumes all real values, hence both the domain and the range are (-∞,∞).

From the graph, the function is classified as decreasing or increasing as follows:

Hence the intervals are given as follows:

The relative minimum is when the function changes from decreasing to increasing, hence it is at this following point:

(1.184, -1.089).

The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:

(2.816, 1.089).

The end behavior of the function is given by the limits of the function when x go to infinity, hence:

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The measure of each angle in the diagram is as follows:

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, the measure of each angle in the diagram can be calculated as follows:

10y = 7x + 4 (vertically opposite angles)

3y + 11  = 4x -22(vertically opposite angles)

Therefore,

10y - 7x = 4

3y - 4x = -22 - 11

10y - 7x = 4

3y - 4x = -33

multiply equation(ii) by 1.75

10y - 7x = 4

5.25y - 7x = - 57.75

subtract equation(ii) from equation(i)

Hence,

4.75y = 61.75

y = 61.75 / 4.75

y = 13

Therefore,

10(13) - 7x = 4

130 - 7x = 4

130 - 4 = 7x

7x = 126

x = 126 / 7

x = 18

Therefore, the unknown angles are as follows;

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r > -1

Negative eighty times r is less than 80 is expressed mathematically as;

Divide both sides by -80.

Note the change in sign when divided by a negative value

we know that

The area of a triangle applying the law of sines is equal to

substitute the given values

the answer is

The value of p is $ 6.75.

It is given in the figure that the price of 6 apples in the grocery store is $ 4.50.

We have to find the value of p which is the price of 9 apples.

By unitary method, we can write,

Price of 1 apple = 4.5/6 = 3/4 =  $ 0.75.

Hence,

Price of 9 apples = 0.75*9 = 6.75 dollars  

Hence, the value of p is $ 6.75.

Unitary method

The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

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Answer:

6 or 5.7

Step-by-step explanation:

w² = 32

w = root 32

w = 5.656854249

w = 6 or 5. 7

The perimeter of the triangle ABC is 2x + 5

The formula for determining the perimeter of a triangle is expressed as;

Perimeter = a + b + c

Where;

From the information given, we have that;

Substitute the values, we have;

Perimeter = 2x - 1 + 9 - x + x - 3

collect like terms

Perimeter = 2x - x + x - 1 + 9 - 3

add or subtract like terms

Perimeter = 2x + 5

The expression for the perimeter is 2x + 5

Hence, the perimeter is 2x + 5

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