Rewrite the radicand as a two factors, One of which is a perfect cube.

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:

PV= $40,279.36

Step-by-step explanation:

Giving the following information:

Number of periods= 8*12= 96 months

Interest rate= 0.039/12= 0.00325

Future value (PV)= $55,000

To calculate the initial investment, we need to use the following formula:

PV= FV/(1+i)^n

PV= 55,000 / (1.00325^96)

PV= $40,279.36

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

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:

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

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:

buy something you'll use so often

Step-by-step explanation:

or save it for a trip to go to

Answer:

The answer is 504 ft ^3 check my solution

Anita would weigh 100 lbs

Answer:

3

Step-by-step explanation:

x^2=7/3x+2

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

9=7+2

9=9

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: B: because young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts

Step-by-step explanation: the question is asking how the sample could be biased and obtaining an estimate of all ADULTS in the city. Young adults aren't the only adults. Adults can be older than 35 too so it's not a good representation of every adult in the city

Answer:

B- Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts.

Step-by-step explanation:

Got it right

edgen 2022

Answer:

1) Y-6=-3/2(X-0)     2) Y= -3/2x+6   3) 3x+2y=12

Step-by-step explanation:

5² × 2⁵ = 25 × 32 =. 800

Hope this helps

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:

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.

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:

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:

Kindly check explanation

Step-by-step explanation:

Given that:

Percentage of insured home owners = 40% p = 0.4

Selecting 4 home owners (x) ;

x = 0, 1, 2, 3, 4

Using bernoulli;

nCx * p^x * (1 - p)^(n-x)

For X = 0

4C0 * 0.4^0 * 0.6^(4-0) = 0.1296

X = 1

4C1 * 0.4^1 * 0.6^(4-1) = 0.3456

X = 2

4C2 * 0.4^2 * 0.6^(4-2) = 0.3456

X = 3

4C3 * 0.4^3 * 0.6^(4-3) = 0.1536

X = 4

4C4 * 0.4^4 * 0.6^(4-4) = 0.0256

B.) The most likely value for X are 1 and 2 with probabilities of 0.3456 respectively.

C.) probability that atleast 2 of the 4 selected have earthquake insurance ;

P(X ≥ 2) = p(2) + p(3) + p(4)

P(X ≥ 2) = 0.3456 + 0.1536 + 0.0256

P(X ≥ 2) = 0.5248

Answer:

hope this photo helps. 1

Answer:

..............5

Step-by-step explanation:

64 ÷12 4/5

Answer: C.The equation has infinite

solutions.

Answer:

9/10ths of a mile. Or 0.9 miles.

Step-by-step explanation:

To get the total it's helpful to look at it in decimals:

2/5 mile = 0.4 miles (1 mile divided by 5 = 0.2 miles, times that by 2)

1/2 mile = 0.5 miles

Add them together = 0.9 miles.

Which is 9/10ths of a mile.

The total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.

It is given that you walk 2/5 miles to a clothing store and then walk another 1/2 miles to a music store.

We have to find out the total distance in miles that you have walked.

What do you mean by fractions ?

A fraction can be defined as a portion or part of any quantity or it defines a part of a whole.

As per the question ;

You walk 2/5 miles to a clothing store

and

then ; walk another 1/2 miles to a music store.

To find out the total distance walked by you in total , we need to add both the distances given in the question.

i.e.,

Total distance will be ;

= [tex]\frac{2}{5}[/tex] + [tex]\frac{1}{2}[/tex]

= [tex]\frac{4+5}{10}[/tex]

= [tex]\frac{9}{10}[/tex] miles

or

= 0.9 miles

Thus , the total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.

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Answer:

no nobody can help you

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:

no

Step-by-step explanation:

Answer:

I think that it is yes but not sure

9514 1400 393

Answer:

  83.73 in³

Step-by-step explanation:

It is appropriate to use the formula for the volume of a cone:

  V = (1/3)πr²h

  V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³

The volume of the cone is about 83.73 in³.

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.