(06.06)

Which of the following demonstrates the Commutative Property of Multiplication?

5(2a − 3) = 10a − 15
10a − 15 = (2a − 3) ⋅ 5
5(2a − 3) = (2a − 3) ⋅ 5
(5 ⋅ 2a) − 3 = 5(2a − 3)

The transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the centre of dilation is C'(27,9).

The given coordinate is C(9, 3) and a scale factor is 3.

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

If any figure is dilated by a scale factor k with the centre of dilation as the origin.

Then the change pr transformation in each of the vertices of the figure is given by (x,y) ⇒ (kx, ky).

Here, k=3.

So, C(9,3) ⇒ C'(9×3,3×3)

= C(9,3) ⇒ C'(27,9)

Therefore, the transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the centre of dilation is C'(27,9).

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The lateral surface area of the Pyramid will be 850547 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

The lateral surface area will be calculated as:-

A = [tex]= l\sqrt{(\dfrac{w}{2})^2+h^2} + w\sqrt{(\dfrac{l}{2})^2+h^2}[/tex]

A = [tex]= 750\sqrt{(\dfrac{750}{2})^2+450^2} + 750\sqrt{(\dfrac{750}{2})^2+450^2}[/tex]

A = 750 √321525 + 750 √321525

A = 150 √√321525

A = 1500 x 567.031

A  = 850547 square feet

Therefore the lateral surface area of the Pyramid will be 850547 square feet.

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The values for y are i, 0, √3 and 2√2

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Given:

F(x)= y = √(x-5) -1

At x=5,

y=  √(5-5) -1

y= i

At x= 6

y= √(6-5) -1

y=0

At x= 9

y= √(9-5) -1

y=√3

At x= 14

y= √(14-5) -1

y=√8= 2√2

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Answer:

The number is 32

Explanation :

Let the 2 number digit be 10x + z

Solution:

X-z=1

(10x+z+8) / (x+z) =8

10x+z+8=8x+8z

2x-7z-(2x-2z)=-8-2

-5=-10

Z = 10/5

Z =2

X=1+2

X=3

10×3+2 = 30 +2 = 32

The answer is 32

The value of y from the equation is 12

A triangle is a shape that has three sides and angles

From the given diagram, the equation is true based on angle bisector theorem

8/4 = y/6

Cross multiply

4y =48

y = 12

Hence the value of y from the equation is 12

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The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.

The complete question is given below:-

liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.

If she cubed the number of the plants will be:- P³

Now she added two vegetable plants:- 2

Then the equation will be:- p³ + 2. Now we will put the value of p = 3 in the equation.

Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29

Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.

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[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \dfrac{\sqrt{a}}{\sqrt{b}}=\sqrt{\dfrac{a}{b }},\:\quad \:a\ge 0,\:b\ge 0[/tex]

[tex]\dfrac{\sqrt{6}}{\sqrt{27}}=\sqrt{\dfrac{6}{27}}[/tex]

[tex]=\sqrt{\dfrac{6}{27}}[/tex]

[tex]\mathrm{ Cancel \ \ \dfrac{6}{27} \ \ \ ; \ \ \dfrac{2}{9} }[/tex]

[tex]=\sqrt{\dfrac{2}{9}}[/tex]

[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b }},\:\quad \:a\ge 0,\:b\ge 0[/tex]

[tex]=\sqrt{\dfrac{2}{9}}[/tex]

[tex]\sqrt{9}=3[/tex]

[tex]=\dfrac{\sqrt{2}}{3} \ \ === > \ \ \ Answer[/tex]

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:

The probability that more than 7 weeks pass between accidents is 4.0551 .

Step-by-step explanation:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes

A Poisson distribution is a probability distribution that is used to show how many times an event is likely to occur over a specified period.

mean = 5 weeks

rate = 1/5 = 0.2

x = average time

 P(x > 7) = e^(0.2×7) = 4.0551

The probability that more than 7 weeks pass between accidents is 4.0551 .

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Answer:

Step-by-step explanation:

f(x) = x^2 – 5x + 12

The value of f(–10) = 82?     NO

f(-10) = (-10)^2 – 5(-10) + 12

f(-10) = 100 + 50 + 12

f(-10) = 162

NO

The graph of the function is a parabola.   YES

See attached graph.

YES

The graph of the function opens down.  NO

See attached graph.

The graph contains the point (20, –8).    NO

See graph

----

Plus we can use x=20 in the function and see if it returns -8:

f(x)=x^2-5x+12

f(20)=(20)^2-5*(20)+12

f(20) = 400 - 100 + 12

f(20) = 312  It does not result in -8

The graph contains the point (0,0).        NO

See graph

By using the binary operator of addition, the result of summing f(x) = 4 · x² + 7 · x - 3 and g(x) = 6 · x³ - 7 · x² - 5 is equal to (f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8.

Binary operators is a operator that connects two functions. There are five binary operators between two functions: (i) Addition, (ii) Subtraction, (iii) Multiplication, (iv) Division, (v) Composition.

In this question we must apply the addition between two quadratic functions. In addition, we know by algebra that the sum of a quadratic function and a cubic function is equal to a cubic function. Hence, the resulting expression is:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (4 · x² + 7 · x - 3) + (6 · x³ - 7 · x² - 5)

(f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8

By using the binary operator of addition, the result of summing f(x) = 4 · x² + 7 · x - 3 and g(x) = 6 · x³ - 7 · x² - 5 is equal to (f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8.

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Answer: The solution is x=7.  

Step-by-step explanation: Using the segment addition posyulate we can find the measure of the segment. given it is 4, 5, 8.

Explanation:

Building proportional relationships

[tex]\sf \dfrac{XA}{XY} = \dfrac{XB}{XZ}[/tex]

21.

[tex]\sf \rightarrow \dfrac{5}{XY} = \dfrac{10}{18}[/tex]

[tex]\sf \rightarrow XY = \dfrac{5(18)}{10}[/tex]

[tex]\sf \rightarrow XY = 9[/tex]

Then find AY

[tex]\sf AY = XY - XA[/tex]

[tex]\sf AY = 9 - 5[/tex]

[tex]\sf AY = 4[/tex]

[tex]\hrulefill[/tex]

22.

[tex]\rightarrow \sf \dfrac{10}{25} = \dfrac{XB}{XB + 3}[/tex]

[tex]\rightarrow \sf 10(XB + 3) = 25XB[/tex]

[tex]\rightarrow \sf 10XB + 30 = 25XB[/tex]

[tex]\rightarrow \sf 25XB-10XB = 30[/tex]

[tex]\rightarrow \sf 15XB = 30[/tex]

[tex]\rightarrow \sf XB = 2[/tex]

Then find XZ

[tex]\sf XZ = XB + BZ[/tex]

[tex]\sf XZ = 2 + 3[/tex]

[tex]\sf XZ = 5[/tex]

[tex]\hrulefill[/tex]

23.

[tex]\sf \rightarrow \dfrac{4}{13} = \dfrac{XB}{26}[/tex]

[tex]\sf \rightarrow \dfrac{26(4)}{13} = XB[/tex]

[tex]\sf \rightarrow XB = 8[/tex]

Answer:

5-46i

Step-by-step explanation:

first multiply your (10-4i)(4-5i) so that would be 20-66i when simplified. then add that to -15+20i so it would look like 20-66i+(-15+20i). then simplify and you should get 5-46i.

Answer: No solution

Step-by-step explanation:

The red line is y=3x+7 and the blue line is y=3x+2

The lines do not intersect at any time. Therefore, this set of equations has no solution. I hope this helps! Pls mark brainliest!! :)

[tex](3^{2} )[/tex]^-2=(9)^-2=1/9^2=1/81

hope it helps!

Answer:

-2/3

Step-by-step explanation:

= 1/5 + (-2/3) = -7/15

(A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Rational number can be both positive and negative.)

Based on the calculations, the equation for the curve of best fit is equal to y = -30.17x + 14.49.

From the table of data points, we have the following:

Mathematically, the standard equation of a straight line is given by:

y = ax + b       ....equation 1.

Thus, the equations that can be used to model the given data points are:

∑y = na + b∑x             ....equation 2.

∑xy = a∑x + b∑x²       ....equation 3.

Substituting the parameters into the equations, we have;

50.9 = 6a + 16b             ....equation 4.

24.6 = 16a + 35b       ....equation 5.

Solving eqn. 5 and 6 simultaneously, we have:

Substituting the value of a and b into eqn. 1, we have;

y = ax + b

y = -30.17x + 14.49.

Therefore, the equation for the curve of best fit is equal to y = -30.17x + 14.49.

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Answer:

1

Step-by-step explanation:

Solutions to a systems of equations are when the (x, y) of two equations are equal with both equations remaining true or in other words when both equations intersect. So by looking at the graph, both equations seem to be linear so there should only be 0, 1, or infinitely many solutions. Since they do have one intersection there is only 1.

Answer:

The system of equations only has 1 solution.

Explanation:

This can be seen by looking at the graph and seeing where the lines were to intersect. For example, if the lines were parallel and never intersected, then there would be 0 solutions. On the other hand, if the lines were essentially the same and overlapped at every point, then there would be infinitely many solutions.

The limit [tex]\lim_{x \to \ 3^{+} } _f(x)[/tex] is equal to -3 for the function whose graph is being shown in the question.

Given Graph of a function.

If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-10 to -3 the range is from 4 to -2 and from 3 onwards it is a straight line at y=-3. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.

Because the graph is linear from x=3 onwards so the limit of the function will be -3.

Hence the limit [tex]\lim_{x \to \ 3^{+} } f(x)[/tex] is equal to -3.

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The true statement about the function f(x) = -x² - 4x + 5 is that:

The domain of a function is the set of given values of input for which the function is valid and true.

The range is the dependent variable of a given set of values for which the function is defined.

For a parabola ax² + bx + c  with the vertex [tex]\mathbf{(x_v,y_v)}[/tex]

The vertex for an up-down facing parabola for a function y = ax² + bx + c is:

[tex]\mathbf{x_v = -\dfrac{b}{2a}}[/tex]

Thus,

Range: f(x) ≤ 9

Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.

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Its the first one

--------------------

Answer:

  $24 = $0.40(60)

Step-by-step explanation:

Match the input value and its location in the equation.

__

  $24 = $0.40(60)

_____

Additional comment

When input is liters and output is dollars, the constant of proportionality must have units of "dollars per liter." The dollar sign of these units is not shown in the left panel, but is shown on the answer choices. If you understand units conversion, this should not be a mystery. (The mystery is why the curriculum materials are inconsistent.)

Answer:

2u-1/3v = (4, -2)

Step-by-step explanation:

Given vector u and v,

v = (-6, -6)

u = (1, -2)

2*u = (2*1, -2*2) = (2, -4)

1/3*v = (1/3*-6, 1/3*-6) = (-2, -2)

So, 2u = (2, -4) and 1/3*v = (-2, -2)

We have 2u-1/3v = (2, -4) - (-2, -2) = (4, -2)

Therefore, 2u-1/3v = (4, -2)

Answer:

I am not completely sure if this is correct, but I believe the answer should be PM.
This is because the order of the letters that represents a point can be swapped, since they are still forming the same line.

Answer:

15 rounded to the nearest whole number is 15 since it’s already a whole number.-

Step-by-step explanation:

Answer:

maths/hindi

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

7h - 5(3h-8) = -72

7h - 15h + 40 = -72

-8h +40 = -72

-8h = -72 -40

-8h = -112

h = -112/ -8

h = 14

The correct answer is option D the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB

The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.

In the proof of the given question, it is given that the ∠AOP and ∠POB are complementary angles by linear pair of theorem but the linear pair of the theorem is applied to the angles with the sum of 180.

Therefore the correct answer is option D the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB

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The steps to find the inverse function are given in the development of the answer of this problem.

The inverse of a function y = f(x) is found exchanging x and y and isolating y.

In this problem, the function is:

[tex]f(x) = \sqrt{7x - 21}[/tex]

Then the steps to find the inverse function is given as follows:

[tex]y = \sqrt{7x - 21}[/tex]

[tex]x = \sqrt{7y - 21}[/tex]

[tex]x^2 = 7y - 21[/tex]

[tex]x^2 + 21 = 7y[/tex]

[tex]\frac{1}{7}x^2 + 3 = y[/tex]

[tex]\frac{1}{7}x^2 + 3 = f^{-1}(x)[/tex], where [tex]x \geq 0[/tex].

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Answer:

x=5

Step-by-step explanation:

[tex]((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\[/tex]

Now we have to cross multiply the denominator to progress further.

[tex]\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5[/tex]

The measure of <YAC from the figure is. 68 degrees

The given figure is made up of line and angles.

Since the line AC is tangential to the circle, hence <BAC = 90 degrees and;

<BAY + <YAC = 90degrees

Determine the measure of <BAY

<BAY = 1/2(arcBY)

<BAY = 1/2(44)

<BAY = 22degrees

From the expression above;

<YAC = 90 - 22

<YAC = 68 degrees

Hence the measure of <YAC from the figure is. 68 degrees

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