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The two expressions are not equivalent to each other at r =2 and r = 5.

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

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Use r = 2 and r = 5 to determine if the two expressions are equivalent.

r + 4(2 + r) – 12    8 + 2r – 6

First put r = 2 in both the expressions:-

E1 = 2 + 4 ( 2 + 2 ) -12

E1 =6

E2 = 8 + ( 2 x 2 ) - 6

E2 = 6

Secondly, put r = 5 in both the expressions.

E1 = 2 + 4 ( 2 + 5 ) - 12

E1 = 30

E2 = 8 + ( 2 x 5 ) -6

E2 = 12

The two expressions are not equivalent at r = 2 and r =5.

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Answer: 6, 12

Step-by-step explanation:

proof :)

Answer:

I think it is D

Step-by-step explanation:

Answer:

c the mean would decrease

Step-by-step explanation:

Answer:

C) The mean would decrease!!

Answer:

the median is -1

-9 -4 -3 (-1) 2 3 9

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Answer:

-1

Step-by-step explanation:

First put the numbers in order from smallest to largest

-9 -4  -3 -1 2 3 9

The median is the middle number

The middle number is -1

Answer:

Let width be x metres

so, length is "9 metres more than twice the width" --> 9+2x

So, perimeter is x + x + (9+2x) + (9+2x) = 174

6x + 18 = 174

6x = 156

x = 156/6

x = 26m

width = 26m

length is therefore 9+2(26) --> 9+52 --> 61m

Step-by-step explanation:

Answer:

2004 cm²

Step-by-step explanation:

To solve this problem, you just need to plug your values into the rectangular prism formula: A=2(wl+hl+hw)

Assuming that the length is 21 cm, the width is 18 cm, and the height is 16 cm, your problem would look like this:

A=2((18x21)+(16x21)+(16x18))=2(378+336+288)=2x1002=2004 cm²

Answer:

9. 2916 sq. cm

10. 864 sq. in

Step-by-step explanation:

9.)  54 cm * 54 cm = area of square

   (50 + 4)*(50 + 4) =  50*50 + 8*50 + 16

= 2500 + 400 +  16 = 2916 sq cm.

10.  24 in *  36 in. = area of rectangle

get:   (30 - 6)*(30 + 6) = 30^2- 6^2

= 900 - 36 = 864 sq. in.

Answer:

23.7 ounce = 20 cents per ounce

33.8 ounce = 22 cents per ounce

The 23.7 ounce bottle is a better deal because it is only 20 cents per ounce, rather than 22 cents per ounce.

Answer:

The corect answer is : Group A because 4 children have a forarm length longer than 12 inches.

Step-by-step explanation:

I did the test and got it right!    :D

Answer:

D. Group A, because four children in the group have the least forearm length of 10 inches.

Step-by-step explanation:

Mean of Group A

[tex]\dfrac{10\times 4+11\times 4+12\times 2}{10}=10.8\ \text{inches}[/tex]

Mean of Group B

[tex]\dfrac{11\times 2+12\times 3+13\times 5}{10}=12.3\ \text{inches}[/tex]

So, group A has shorter average forearm length.

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Answer:

I'm guessing they're asking about trig functions, topic test. Answer: B) 10 units^2

Step-by-step explanation:

just took the topic test on edge2021

The value of r is 3.75 from the diagram.

We have to find the value of r which is a radius.

ABC is a right angle triangle in the circle.

We find the value of r by using pythagoras theorem.

r²+9²=(6+r)²

r²+9²=36+12r+r²

9²=36+12r

81=36+12r

Subtract 36 from both sides:

81-36=12r

45=12r

Divide both sides by 12:

r=45/12

r=3.75

Hence, the value of r is 3.75.

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Answer:

The ending balance would be:

EB = Money x (1 + rate)^year

     = 53300 x (1 + 4.7/100)^(3.75) = 63318.01

Hope this helps!

:)

Answer:

$62,694.125

Step-by-step explanation:

Interest = 53300 × (4.7/100) × 3.75

Interest = 9394.135

Balance = 53300 + 9394.135

= $62,694.125

Answer:

The length of aluminium surrounding the pool is 94.20 ft.  

Step-by-step explanation:

The picture represents the circular swimming pool that has walls of aluminium surround it.

The circumference of a circle is the distance around a circle. It is the curved line that goes round the circle. The question wants us to find the circumference of the aluminium surrounding the circular pool.  

circumference of a circle = 2πr

circumference of a circle = 2 × 3.14 × 15

circumference of a circle = 30 × 3.14

circumference of a circle = 94.2 ft

The length of aluminium surrounding the pool is 94.20 ft.  

Answer:A = b x h

Step-by-step explanation:

I can't see the problem but i can give help  u have to follow the formuls

Answer:

-2

Step-by-step explanation:

3-2n=7

-3       -3

-2n=4

divide both sides by -2

n=-2

Answer:

3.6 cm²

Step-by-step explanation:

18 mm = 1.8 cm

A = 2cm×1.8cm = 3.6 cm²

Your answer would be the third option, 3.6 cm².

The equation for the area of a parallelogram is the same for the area of a rectangle, which is base multiplied by perpendicular height. Because all of the answers are given in cm², we should convert all lengths in mm to cm.

This means that 18mm because 1.8cm (by dividing by 10).

Now we just do 1.8 × 2 = 3.6cm²

I hope this helps!

Answer:

0.064

Step-by-step explanation:

(2/5) * (2/5) * (2/5)

= 0.064

Hope this is helpful!!! :)

The probability that it generates either a J or an N all 3 times would be 0.064.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Jason wrote a computer program that randomly generate one of the letters of his name. He runs the program three times.

The probability that it generates either a J or an N all 3 times

[tex](2/5) \times (2/5) \times (2/5)\\\\8/125\\\\0.064[/tex]

Thus, the answer is 0.064.

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Answer:

Her height is in between 150 and 160

Step-by-step explanation:

Given

h > 150

h < 160

Required

What do these represent?

First, the inequalities need to be combined.

If h < 160, then this means that 160 > h.

So, h > 150 and 160 > h can be combined to form an inequality in the following form;

160 > h > 150

This.meeans 160 is greater than h and h is greater than 150.

If this is related to her height, it means 160 is greater than her height and her height is greater than 150;

In other words, her height is in between 150 and 160

We want this expression to fall in one of the two cases:

[tex]\alpha ^ 0 = 1 = 1^\beta[/tex]

So, if the exponent is zero, the base can assume any value, because everything (expect zero) to the power of zero is one.

Similarly, if the base is 1, the exponent can be any number, becuase 1 raised to any exponent is still one.

If we are looking for the "zero exponent" strategy, we simply have to impose

[tex]x+1=0\iff x=-1[/tex]

In this case, the expression becomes [tex]16^0=1[/tex], so we avoided the [tex]0^0[/tex] case and we're good.

If we are looking for the "base equals one" strategy, we must impose

[tex]3x^2-8x+5 = 1 \iff 3x^2-8x+4=0 \iff x=\dfrac{2}{3}\lor x=2[/tex]

Answer:

x = -1, ⅔, 2

Step-by-step explanation:

3x² - 8x + 5

3x² - 3x - 5x + 5

3x(x - 1) - 5(x - 1)

(3x - 5)(x - 1)

[3x² - 8x + 5]^(x+1) = 1

The ourput is 1 when:

1) The power is 0

x + 1 = 0

x = -1

2) base is 1

3x² - 8x + 5 = 1

3x² - 8x + 4 = 0

3x² - 6x - 2x + 4 = 0

3x(x - 2) - 2(x - 2) = 0

(3x - 2)(x - 2) = 0

x = 2 , ⅔

Therefore, 3 solutions

x = -1, ⅔ , 2

Option C. The equation has no solution is correct.

Which statement is true about this question -4(2p+5)+8p=-11

Equation is the relationship between variable and represented as    is example of polynomial equation.

Since,  
The equation terminated while simplifying
-8p-20+8p=-11

-20≠-11

Thus the given equation has no solution at any point.

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Answer:

Quadrant 2

Step-by-step explanation:

By applying Pythagorean's theorem to right-angled triangle PQR, the length of segment PQ is equal to [tex]\sqrt{29}[/tex] units.

In Mathematics and Geometry, Pythagorean theorem is an Euclidean postulate that can be modeled or represented by the following mathematical equation:

[tex]c^2=a^2+b^2[/tex]

Where:

By applying Pythagorean's theorem to right-angled triangle PQR, the length of segment PQ can be calculated as follows;

[tex]PQ^2=QR^2+PR^2\\\\PQ^2=2^2+5^2\\\\PQ^2=4 + 25\\\\PQ=\sqrt{29}[/tex]units.

Answer:

Yes, the dimensions will be 2x2

Step-by-step explanation:

When multiplying matrices you have AxB by CxD. You can only multiply matrices if the inner number is the same.

Ex. 2x3 by 3x2 or QxD by DxW

The dimensions of the result will depend on the outer numbers.

Ex. 2x3 by 3x2 has a 2x2 result or QxD by DxW has a QxW result  

Yes, you can multiply a 2x3 matrix by a 3x2 matrix. The result will be a 2x2 matrix because the number of rows in the first matrix and the number of columns in the second matrix define the dimensions of the product matrix.

Yes, it is possible to multiply a 2x3 matrix by a 3x2 matrix. When multiplying matrices, the number of columns in the first matrix must be the same as the number of rows in the second matrix. Therefore, in this case, where we have a 2x3 matrix and a 3x2 matrix, the 3 columns in the first matrix and the 3 rows in the second matrix make multiplication possible.

The resulting product from the multiplication of these two matrices will be a new matrix whose dimensions are determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, as the first matrix has 2 rows and the second matrix has 2 columns, the resulting matrix will have dimensions of 2x2.

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Answer:

You are wrong and the correct answer is vaunted.

Step-by-step explanation:

Why? Because it would be the only applicable word for this sentence.

Omnipotent: Having unlimited power; able to do anything.

Overt: One or shown openly; plainly or readily apparent, not secret or hidden.

Annihilated: Destroy utterly; obliterate.

Vaunted: Praised or boasted about, especially in an excessive way.

Answer:

It's the first option.

Step-by-step explanation:

x^2 - 12x + 27 = - y^2 + 8y

x^2 - 12x + y^2 - 8y = -27    Completing the squares:

(x - 6)^2  - 36  + (y - 4)^2 - 16 = -27

(x - 6)^2 + (y - 4)^2 = -27 + 36 + 16

(x- 6)^2 + (y - 4)^2 = 25 is the standard equation.

The center is at (6, 4) and the radius is 5 units.

Answer:

first option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² - 12x + 27 = - y² + 8y ( subtract - y² + 8y from both sides )

x² - 12x + y² - 8y + 27 = 0 ( subtract 27 from both sides )

x² - 12x + y² - 8y = - 27

Using the method of completing the square on both the x and y terms

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(- 6)x + 36 + y² + 2(- 4)y + 16 = - 27 + 36 + 16

(x - 6)² + (y - 4)² = 25 ← in standard form

with centre = (6, 4 ) and r² = 25 ⇒ r = [tex]\sqrt{25}[/tex] = 5 → first option

27-9=18. The baker made 18 pumpkin pies.

To prove our answer,,

18 divided by 3 is 6, so it is possible to place them in rows by three.

Your confirmed answer is 18.

I hope this helps!

Brainliest?

Answer:

Option D

Step-by-step explanation:

Assuming you're referring to slope, the rule is rise/run or "rise over run" so as i look at this line i see it rises 1 unit and then runs back or negatively 4 units, therefor the answer is D 1/-4

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