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The property is an illustration of difference of two squares

The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

The property is given as:

[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]

The product is given as:

[tex]\mathbf{(26)(34)}[/tex]

Let x - y = 26, and x + y = 34.

So, we have:

[tex]\mathbf{x - y = 26}[/tex]

[tex]\mathbf{x + y = 34}[/tex]

Make x the subject in [tex]\mathbf{x - y = 26}[/tex]

[tex]\mathbf{x = 26 +y}[/tex]

Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]

[tex]\mathbf{26 + y+ y = 34}[/tex]

[tex]\mathbf{26 + 2y = 34}[/tex]

Subtract 26 from both sides

[tex]\mathbf{2y = 34 -26}[/tex]

[tex]\mathbf{2y = 8}[/tex]

Divide both sides by 2

[tex]\mathbf{y = 4}[/tex]

Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]

[tex]\mathbf{x = 26 + 4}[/tex]

[tex]\mathbf{x = 30}[/tex]

So, we have:

[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]

[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

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Answer:

triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal

Step-by-step explanation:

Answer:

The answer is

4/12 - 3/12

Step-by-step explanation:

Answer:

4/12 - 3/12

Step-by-step explanation:

Answer:

25) -4, -1

Equation: -4x-1

27) 4, 4

Equation: 4x+4

29) 5/2,0

Equation: 5/2x

Step-by-step explanation:

Y=mx+b

Answer:

You will have 40 mins before 100%

Step-by-step explanation:

The number of minutes taken to completely load is 60 minutes.

Given that, the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Remaining virus to load =100-28

= 72

The rate of 12% every 10 minutes

Now, 72/12

= 6

So, 6×10 =60 minutes

Therefore, the number of minutes taken to completely load is 60 minutes.

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Answer:

the answer is  [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x<-7\quad \mathrm{or}\quad \:x>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\cup \left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Step-by-step explanation:

i hope this helps :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).

Answer:

absolute value

Step-by-step explanation:

If your talking about the two lines by the 7 and the 2.

there used to find the absolute value of a number.

lets say you have this  |-2| your answer would be 2.

|1| =1

-|1|= -1

I hope you get the point

the question would be 2x=7>7 its that easy

Answer:

It is the first one 15 is the y intercept slope 8/1

Answer:

no

Step-by-step explanation:

Answer:

I think that it is yes but not sure

Answer:

16 cd racks

Step-by-step explanation:

1,440%90

Answer:

Step-by-step explanation:

5/6 and 3/8  LCD is 24

Multiply:  1

3

 ×  2

5

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

.

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Edg 2020 :)))))))

The multiplication result to 2/15 and division result to 2/3.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

1/ 3 × 2 /5

Now, to multiply we have multiply numerator and denominator.

1/ 3 × 2 /5

=(1  x 2)/ ( 3 x 5)

= 2 /15

Now, 2/ 5 ÷ 3/ 5

We have to divide the fraction.

Fraction does not support division.

So,2/ 5 ÷ 3/ 5

= 2/5 x 5/3

= 2/3.

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Answer: C.The equation has infinite

solutions.

Answer:

0.433

Step-by-step explanation:

5.42 - 4.987

Subtract each column of digits starting from right to left.

5.420

- 4.987

If the digit being subtracted is larger than the digit above it then borrow a digit from the next left column.

5.420

- 4.987

Borrow 1 from 5:

4.(10+4)20

- 4.987

4.(14)20

- 4.987

Borrow 1 from 14:

4.(13)(10+2)0

- 4.987

4.(13)(12)0

- 4.987

Borrow 1 from 12:

4.(13)(11)(10+0)

- 4.987

4.(13)(11)(10)

- 4.987

Subtract the second digit from the first:

(10 - 7 = 3):

4.(13)(11)(10)

- 4.987

= 3

(11 - 8 = 3):

4.(13)(11)

- 4.987

= 33

(13 - 9 = 4):

4.(13)

- 4.987

= 433

4.(13)

- 4.987

= .433

(4 - 4 = 0):

4.(13)

- 4.987

= 0.433

Answer:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Step-by-step explanation:

Answer:

A sequence is a discrete structure used to represent an ordered list.

Step-by-step explanation:

Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.

5² × 2⁵ = 25 × 32 =. 800

Hope this helps

Answer:

A) [tex]f^{-1}(n)= (n+2)^3[/tex]

Step-by-step explanation:

[tex]f(n) = \sqrt[3]{n} -2[/tex]

[tex]y = \sqrt[3]{n} -2[/tex]

[tex]y = n^{1/3}-2[/tex]

[tex]n = y^{1/3} -2[/tex]

[tex]n + 2 = y^{1/3}[/tex]

[tex]y = (n + 2) ^3[/tex]

[tex]f^{-1}(n) = (n + 2)^3[/tex]

Hope this helps!

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

(23706.3 - 23568.7) / 12.6

= 10.920634

= 10.9 miles per gallon

Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

x^2=7/3x+2

3^2=7/3(3)+2

9=7+2

9=9

Step-by-step explanation:

we can factor out z

so that'll be

z((1/m)-(1/n))=1

divide by the value in parentheses on both sides

z=1/((1/m)-(1/n))

I can't tell if there's more the problem wants you to do. I could rewrite the equation on paper more easily, but I don't have one on hand

Answer: The answer is z=1/((1/m)-(1/n). Abhlnav, I'm sorry about not finding the answer to solve for z, and that’s the reason why you told me to solve for z not m to your algebraic expression to find the answer. Are you very good at mathematics, Abhlnav?

Step-by-step explanation:

Answer:

If the garage is robbed, the probability the doors ware left open is 0.625.

Step-by-step explanation:

Denote the events as follows:

X = garage doors open

Y = something is stolen

The information provided is:

P (X) = 0.25

P (Y|X) = 0.05

P (Y|X') = 0.01

Compute probability that the garage is robbed as follows:

[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]

Compute the probability the doors ware left open given that the garage is robbed as follows:

[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]

Thus, if the garage is robbed, the probability the doors ware left open is 0.625.

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y=5x-3[/tex]

The general form of equation of line in slope-intercept form is written as:

[tex]y = mx+b[/tex]

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

[tex]y = m_1x+b[/tex]

[tex]y=5x+b[/tex]

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

[tex]-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37[/tex]

Putting the value of b and m1, we get

[tex]y = 5x+37[/tex]

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Answer:

20 cm.

Step-by-step explanation:

Pythagorean Theorem a^2 + b^2 = c^2 (c is the hypotenuse).

Plug it in.

48^2 + b^2 = 52^2

2,304 + b^2 = 2,704

Isolate the variable.

b^2 = 400

b = 20

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

Answer:

A) $964

B) $651.35

C)  The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time

D)  $1016.28 ,  $637.63

Step-by-step explanation:

lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )

a) since a 6% interest is earned each day of every payment

will use this formula : S = P( 1 + rt )

therefore  $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192

$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72

hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964

b) when compared with eight years from now

PV = [tex]\frac{FV}{1+rt}[/tex]  = ($964) / ( 1 + (0.06*8) = $651.35

C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time

D) Repeating parts (a) and (b) using compound interest

using the formula : S = P( 1 + r )^t

therefore $400 paid today will have a compound interest of

= 400 ( 1.06)^8 = $637.54

$300 paid at the end of four years will earn a compound interest of

= 300 ( 1.06 ) ^4 = $378.74

hence FV = 637.54 + 378.74 = $1016.28

when compared with eight years from now

= [tex]\frac{FV}{(1+r)^t}[/tex]  = ( 1016.28 ) / ( 1.06 ) ^8    = $637.63

Answer:

[tex]Codes= 512[/tex]

Step-by-step explanation:

Given

[tex]Switches = 9[/tex]

[tex]Controls = 2[/tex] ------- on or off

Required

Determine the number of codes to be programmed

Since each switch has any of the on or off controls (i.e on or off), then:

The first switch can be coded in any of the 2 controls

The second switch can be coded in any of the 2 controls

The third switch can be coded in any of the 2 controls

Up till the ninth switch

So, we have that:

[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]

[tex]Codes = 2^9[/tex]

[tex]Codes= 512[/tex]

Hence, there are 512 possible codes