One national survey found that 86 percent of those who were unhappily married, but who stayed with the marriage, were when reinterviewed five years later:

Step-by-step explanation:

price after discount and with vat = 9605

Answer:

c The expansion of (x + y)^6 will yield 7 terms

Step-by-step explanation:

(x + y)^6 =

x^6 +6x^5y + 15x^4y^2 + 20x^3y^3 + 15x^2y^4 + 6xy^5 + y^6

so its a no on A

its a no on B because its missing a 20

its a yes on c

its a no on d because the sum is 6

so c

Step-by-step explanation:

s ask me what's your question I can help u

ok so we see that TR is 17 units, so RV is the same amount

3x+2 so 3x=15 so divide both sides by 3 we get x=5

now we know x=5 4x+1=21 and 9x-4=41

*drops microphone*

Answer:

TR = 12

=> 3x + 2 =17

=> x = 5

We have QT = QV (because QTV is an isosceles triangle)

=> QT = 4x+1=4x5+1=21 units

We have TS = SV (because TSV is an isosceles triangle)

=>SV = 9x-4= 9x5-4=41 units

Answer:

1) -4(3-5x) >= –6x+9

–12+20x >= -6x+9

The choose (D)

2 ) The choose (A)

3) The choose (A) step 1

4) 1/2(n-4)-3=3-(2n+3)

n=2

The choose ( B)

5) 2.5 (5x-4)=10+4(1.5+0.5x)

x=2

The choose (C)

1. -12 + 20 > -6x + 9

2. simplify by combining like terms

3. step 1

4. n=2

5. 2

Answer:

linear

Step-by-step explanation:

the graph in the above equation is linear function

Answer:

1: 16

2: 4940

3: 24

4: 25

5: 9

Step-by-step explanation:

A permutation is a method of calculating the number of possible outcomes. It follows the following general formula;

[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]

There (n) is the number of objects, and (r) is the number of objects selected.

1. Arranging 4 pots with different plants in a row

In order to solve this, one needs two pieces of information, the number of objects, and the number of objects selected. One is given the number of objects; (4), but when the problem states "in a row" it never specifies how many plants are in a row. Thus, let one assume that a "row" can have an infinite amount of space, but in this case, only (4) space will be used. Therefore there are (4) objects with (4) objects selected. However, the drawback is that the combination formula doesn't work when the two parameters (n) and (r) are the same. Hence, to solve this special case, one simply multiplies the two numbers to get the answers:

[tex]n*r\\\\=4*4\\\\=16[/tex]

2. Forming a four-digit ATM pin

One is given that there are (4) digits in the ATM pin, this is the number of objects selected. One is also given that number of objects, there are (10) digits including (0). Set up the permutation and solve;

[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]

[tex]_1_0P_4=\frac{10!}{(10-4)!}\\\\=\frac{10!}{6!}\\\\=\frac{10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1}\\\\=10*9*8*7\\\\=4940[/tex]

3. Securing a motorcycle with a three-digit combination lock using the numbers (1), (2), (3), and (6).

There are (4) digits to choose from on the lock. But there are (3) numbers that can be selected.

[tex]_4P_3=\frac{4!}{(4-3)!}\\\\=\frac{4!}{1!}\\\\=\frac{4*3*2*1}{1}\\\\=4*3*2*1\\\\=24[/tex]

4. Displaying 3 identical small vases, 1 figure, and a photo frame in a row.

There are (5) objects, and (5) spaces (read problem (1) for an explanation for the objects being put in a row). Thus, this is a special case; multiply the two numbers to get the result;

[tex]n*r\\=5*5\\=25[/tex]

5. 3 girls sitting around a circular table

There are (3) subjects, and (3) spaces in this problem. Apply the same logic applies to a row in this problem. Therefore, this is another special case; multiply the two numbers to get the result;

[tex]n*r\\=3*3\\=9[/tex]

Answer:

2 i think it is

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

[tex]\sqrt{81}[/tex] = ± 9 → D and E

Since 9 × 9 = 81 and - 9 × - 9 = 81

[tex]81^{\frac{1}{2} }[/tex] = [tex]\sqrt{81}[/tex] = 9 → B

- [tex]81^{\frac{1}{2} }[/tex] = - [tex]\sqrt{81}[/tex] = - 9 → A

Answer:

150 + (.05x) = 355

.05x = 205

x = $4100

Step-by-step explanation:

Subtract to find amount of commission made:

355 - 150 = 205

She made $205 in commissions

Divide the amount she made in commission by the percentage she gets:

205 / 0.05 = 4,100

Her sales was $4,100

Which value is 10,000 times larger than 1,300?

answer= 1300×10000

= 13,000,000

Answer:

C

Step-by-step explanation:

Given the graph of f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here the graph has been shifted 2 units to the right , then

f(x) = (x - 2)²

Given the graph of f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the graph has ben shifted 4 units up

Thus

f(x) = (x - 2)² + 4 → C

Answer:

x = 4

Step-by-step explanation:

steps are in the pic above.

Answer:

is 512

Step-by-step explanation:

Answer:

please I don't know can u please help me out

Answer:

The answer to your question where SAS is given  

∠T ≈∠ W

Answer:

The dryer costs $325.

Step-by-step explanation:

Let w represent the cost of the washer and d represent the cost of the dryer.

They cost $587 combined. In other words:

[tex]w+d=587[/tex]

The washer costs $63 less than the dryer. Therefore:

[tex]w=d-63[/tex]

Thus, we have the system of equations:

[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]

We can solve it using substitution. Substitute the second equation into the first. Hence:

[tex](d-63)+d=587[/tex]

Combine like terms:

[tex]2d-63=587[/tex]

Add 63 to both sides:

[tex]2d=650[/tex]

And divide both sides by two. Hence:

[tex]d=325[/tex]

The dryer costs $325.

Further Notes:

And since the washer is $63 less, the washer costs:

[tex]w=(325)-63=262[/tex]

The washer costs $262.

Answer:

9

Step-by-step explanation:

First you would need to subtract all the irrelevant students.

So, subtract 4 from 36, which is 34.

34 - (10 + 15) =

34 - 25 =

9

The answer is 9 pupils.

Answer:

Yes

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

When we plot (-2, -4) onto the graph, we can envision that the point is within the shaded region of the graphed line.

∴ (-2, -4) would be a solution.

Answer:

You would pour 50.3 in^3 of juice

Step-by-step explanation:

The term ‘cubic’ indicates volume

so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2

Mathematically, we have the volume of the cylinder as;

V = pi * r^2 * h

r = 2 inch

h = 8 inch

Since we are dividing the volume by 2 (exactly half full)

V = 1/2 * pi * 2^2 * 8

V = 50.3 in^3

Answer:

Tara has to pay £324 for 4 nights

Step-by-step explanation:

Regular price of a room per night

= £90

Regular price of a room for 4 nights

= 90*4

= £360

Price of a room for 4 nights after discount

= 75% (360)

= 75/100 * 360 = 75 * 3.6

= £270

Price of the room after charging VAT

= 270 + 20%(270)

= 270 + 20/100 * 270

= 270 + 2 * 27

= 270 + 54

= £324

Answer:

10.2%

Step-by-step explanation:

The given population of the village in 2017 = 7,500

The given population of the village in 2019 = 8,265

The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;

[tex]Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}[/tex]

The final value of the population in 2019 = 8,265

The initial value of the population in 2017 = 7.500

Therefore;

[tex]Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%[/tex]

The percentage increase in the population = 10.2%

Answer:

Charity is more correct

Step-by-step explanation:

Flight time = 6.94 hours

Charity estimation = 7 hours

Her sister's estimation = 6.9 hours

Charity is more correct if we are to round to the nearest whole hour

6.94 hours is approximately 7 hours

Her sister is only correct if we are to round up to 1 decimal place

6.94 hours is approximately 6.9 hours to 1 decimal place

Answer:

113,04 square root is 10.632027088 divided by Pi

3.38427933228

so the radius of her tire is 3.38

Hope This Helps!!!

Answer:

Option B is answer.

Step-by-step explanation:

Hey there!

Given;

f(X) = X(X+5)(x-8)

According to the factor theorem, f(X) = 0;

Or, X(X+5)(x-8) = 0

Either;

x = 0

Or;

(x+5)= 0

X = -5

Or;

(x-8)= 0

x = 8.

Therefore, the zeros of the polynomial are: 0,-5,8.

Hope it helps!

9514 1404 393

Answer:

  B.  log_b(a) - log_b(d)

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a/b) = log(a) -log(b)

All the logs need to have the same base.

__

Here, the base is 'b', but the rule still applies:

  [tex]\log_b{\dfrac{a}{d}}=\log_b{(a)}-\log_b{(d)}[/tex]

Answer

There is a 68 percent that a student selected a random will score an 80 or higher on the next test.

Explanation

You just need to find the percentage of 17 out of 25, or 17/25.

You can do this by dividing 17 by 25.

17/25 equals 0.68, or 68 percent.

Respuesta:

-13

Explicación paso a paso:

Dada la ecuación:

[4 + {(2-5) ²-4 (7-5) ³ + 2 (15/3)}] - Raíz cuadrada de 16

La raíz cuadrada de 16 se escribe como √16

[4 + {3² - 4 (2³) + 2 (5)} - √16

4 + {9 - 4 (2 * 2 * 2) + 10} - 4

4 + {9 - 4 (8) + 10} - 4

4 + {9 - 32 + 10} - 4

4 - 13 - 4

= -13

OPTION C

The variable x represents the independent variable.