Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.

Answer:

option D is correct

Step-by-step explanation:

Given data

From the given expression/options of answers, option D is correct

This is because the given expression in the attached file corresponds to the terms in option D

Answer:

x =  20

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, sum to 180°

5x + 4x = 180

9x = 180 ( divide both sides by 9 )

x = 20

Answer:

The value of x is 40⁰.

Step-by-step explanation:

5x + 4x = 360⁰

DUE TO THE SUM OF QUADRATIC ANGLE.

Answer:

p = 3

Step-by-step explanation:

Applying,

mid point of A and B is

P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1

From the question,

Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11

Substitute these values into equation 1

P = [(6-2)/2,(-5+11)/2)

P = (2,3)

comparing,

P(2,p) to (4,3)

Therefore,

p = 3

Answer:

2nd one, 3rd one and last one

Answer:

3√2

Step-by-step explanation:

* means multiply

-7√2 + 10 √2

take √2 out of the expression

√2 (-7 + 10)

√2 (3)

3√2

Answer:

(-3x -3 - 24x/(x²-5))

Step-by-step explanation:

(x - 3x³ - 3x² - 10x + 15) / p = x² - 5

(-3x³ - 3x² - 9x + 15) / p = x² - 5

p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)

- -3x³ + 15x

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

0 - 3x² - 24x + 15

- - 3x² + 15

‐-----------------------------------

0 - 24x + 0

Answer:

48

Step-by-step explanation:

2-6$83737463363+77#7#+#++;#+#73737363644646464672727282939

Answer:

10

Explanation:

n(U)= 50

n०(E)= 15

n०(F)= 20

number of (E U F) whole complement= 5

NOW,

n(U)= 15+20+5+n(E intersection F)

or, 50= 40+n(E intersection F)

.•. n( E intersection F) = 10

Answer:

23:19

Step-by-step explanation:

This questions is looking for this ratio:

income:savings

Regan's income is $1,380 per month.

Regan's savings is $1,140 per month.

Substitue those numbers in our original ratio, and you'll get this:

1380:1140

However, this question wants the lowest form of the ratio.

To do that, you can find the GCF (greatest common factor) and divide both number's by it, or you can just randomly divide them by small numbers you know both of them are divisible by.

I'm going to use the 2nd method because it's usually quicker for big numbers like these:

1380/10 = 138

1140/10 = 114

138/2 = 69

114/2 = 57

69/3 = 29

57/3 = 19

29 and 19 are prime numbers, so you can't divide them anymore. This is how we know we've reached the lowest terms of these numbers.

So the answer is 29:19

Hope this helps (●'◡'●)

Answer: 23:19

Step-by-step explanation: 1380 and 1140 LCM is 60. 1380/6 = 23 and 1140/6= 19

Therefore, the answer is 23:19

Answer:

{2,3,4}

Step-by-step explanation:

The range are simply the f(x) values

The range are the x values

To get the x values, we simply get x from each f(x)

So we have;

1-2x = -3

1+ 3 = 2x

2x = 4

x = 4/2

x = 2

Secondly;

1-2x = -5

1 + 5 = 2x

2x = 6

x = 6/2

x = 3

lastly;

1-2x = -7

1 + 7 = 2x

2x = 8

x = 8/2

x = 4

So the domain values are;

{2,3,4}

Answer:

3/20 of a cup of sugar

Step-by-step explanation:

Find how much she sprinkled on the brownies by multiplying 3/4 by 1/5:

3/4 x 1/5

= 3/20

So, she sprinkled 3/20 of a cup of sugar on the brownies

The correct answer is to drag The Plus sign (+)

This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.

Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.

Read more about operators here:

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Answer:.

Step-by-step explanation:

Answer:

a-1. Using semi-annually compounded interest rates of 4%, or 0.04, we have:

M15 = $2,389.13

M20 = $2,091.10

M25 = $1,929.54

a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055

M15 = $2,841.49

M20 = $2,580.47

M25 = $2,450.28

a-3. Using semi-annually compounded interest rates of 7%, or 0.07

M15 = $3,329.35

M20 = $3,108.80

M25 = $3,009.40

b-1. It can be observed that there is a negative relationship between the month-end payment and the payment period.

b-2. It can be observed that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.

Step-by-step explanation:

The month-end payment for each period can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:

Mn = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

Mn = month-end payment for a particular year period = ?

PV = Present value or home value = $250,000

r = Monthly interest rate = semiannual interest rate / 6 months

n = number of months = Number of years * 12 months

Using equation (1), we have:

a. Calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period.

a-1. Using semi-annually compounded interest rates of 4%, or 0.04

M15 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(15*12)) / (0.04 / 6)) = $2,389.13

M20 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(20*12)) / (0.04 / 6)) = $2,091.10

M25 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(25*12)) / (0.04 / 6)) = $1,929.54

a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055

M15 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(15*12)) / (0.055 / 6)) = $2,841.49

M20 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(20*12)) / (0.055 / 6)) = $2,580.47

M25 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(25*12)) / (0.055 / 6)) = $2,450.28

a-3. Using semi-annually compounded interest rates of 7%, or 0.07

M15 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(15*12)) / (0.07 / 6)) = $3,329.35

M20 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(20*12)) / (0.07 / 6)) = $3,108.80

M25 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(25*12)) / (0.07 / 6)) = $3,009.40

b. What do you observe from your calculations?

Two things can be observed from the calculations:

b-1. At a particular semi-annually compounded interest rate, the month-end payment decreases as the payment period increases. This implies that there is a negative relationship between the month-end payment and the payment period.

b-2. At a particular payment period, the month-end payment increases as the semi-annually compounded interest rate increases. This implies that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.

Answer:

let's find the zeros of the divisor

x+2=0

x=-2

let x²-3x+2k =f(x)

Now f(-2)=(-2)²-3(-2)+2k=7

4+6+2k=7

2k=7-10

2k=-3

k=-3/2

Answer:

x=60

Step-by-step explanation:

First, you subtract 10 from both sides. Your final answer is 60.

Answer:

"10 possibilities" is the appropriate response.

Step-by-step explanation:

The numbers will be:

⇒ [tex]123 \ 456 \ 789[/tex]

Now anyway we commence with right and afterwards remove nine from eight and seeing as maintain the sequence growing.

then,

Thus, the above is the correct answer.

Answer:[tex]12x+25y=300[/tex]

Step-by-step explanation:

Answer:

12x + 25y = 300

Step-by-step explanation:

Answer:

[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]

The factors to the given expression are -1(x+3)(x-8)

The x-intercepts are -3, 8

Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.

We equate the given expression to f(x)

     (-x² + 5x + 24) = f(x)

⇒ -1(x² - 5x - 24) = f(x)

⇒ -1(x² - (8-3)x - 24) = f(x)

⇒ -1(x² + 3x - 8x -24) = f(x)

⇒ -1(x(x+3) -8(x+3)) = f(x)

⇒ -1(x+3)(x-8) = f(x)

∴The factor to the given expression is -1(x+3)(x-8)

To find the x-intercepts we equate f(x) = 0

⇒ -1(x+3)(x-8) = 0

⇒ (x+3)(x-8) = 0

x-intercepts are the roots of the above equation.

∴ The x-intercepts occur where x = -3 and x = 8

Learn more about the Factorization and x-intercepts at

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Answer:

equation A and equation c

Answer:

Equation A and Equation C

Step-by-step explanation:

Answer:

Rocío respondió 43 preguntas correctas y 17 incorrectas.

Step-by-step explanation:

Dado que en las olimpiadas de Matemática, Rocío representó a su colegio, y la prueba consistía en 60 problemas, de los cuales cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra, y luego del examen, Rocío obtuvo un puntaje de 155, y ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas, para determinar dicha duda se debe realizar el siguiente calculo:

60 x 4 = 240

40 x 4 - 20 = 140

45 x 4 - 15 = 165

42 x 4 - 18 = 150

43 x 4 - 17 = 155

Por lo tanto, Rocío respondió 43 preguntas correctas y 17 incorrectas.

Answer:

D; f = 15,000 - 25t

Step-by-step explanation:

From the question;

per gallon, the number of miles traveled is 25, given traveling speed is 500 miles per hour

So after t hours, if traveling at 500 miles per hour, the amount of fuel expended will be 25 * t = 25t gallons

So, to get the amount remaining, we subtract 25t from what we have at the start of the trip

Mathematically, we have this as;

f = 15,000 - 25t

Observe that

5/12 = 1/4 + 1/6

so that

tan(5π/12) = tan(π/4 + π/6)

Then

tan(5π/12) = sin(π/4 + π/6) / cos(π/4 + π/6)

… = (sin(π/4) cos(π/6) + cos(π/4) sin(π/6)) / (cos(π/4) cos(π/6) - sin(π/4) sin(π/6))

… = (cos(π/6) + sin(π/6)) / (cos(π/6) - sin(π/6))

(since sin(π/4) = cos(π/4) = 1/√2)

… = (√3/2 + 1/2) / (√3/2 - 1/2)

… = (√3 + 1) / (√3 - 1)

… = (√3 + 1) / (√3 - 1) × (√3 + 1) / (√3 + 1)

… = (√3 + 1)² / ((√3)² - 1²)

… = ((√3)² + 2√3 + 1²) / (3 - 1)

… = (3 + 2√3 + 1) / 2

… = (4 + 2√3) / 2

… = 2 + √3 … … … (C)

If you insist on using the half-angle identity, recall that

sin²(x) = (1 - cos(2x))/2

cos²(x) = (1 + cos(2x))/2

==>   tan²(x) = (1 - cos(2x)) / (1 + cos(2x))

Let x = 5π/12. The angle x lies in the first quadrant, so we know tan(x) is positive.

==>   tan(x) = +√[(1 - cos(2x)) / (1 + cos(2x))]

We also know

cos(2x) = cos(5π/6) = -√3/2

which means

tan(x) = tan(5π/12) = √[(1 - (-√3/2)) / (1 + (-√3/2))]

… = √[(1 + √3/2) / (1 - √3/2)]

… = √[(2 + √3) / (2 - √3)]

… = √[(2 + √3) / (2 - √3) × (2 + √3) / (2 + √3)]

… = √[(2 + √3)² / (2² - (√3)²)]

… = √[(2 + √3)² / (4 - 3)]

… = √[(2 + √3)²]

… = 2 + √3

Answer:

endo 2 17uni

Step-by-step explanation:

Answer:

The answer is A.

How I got it:

Formula of finding a triangle: 1/2 bh.

In this case, the base is R and the Height is X.

1/2rx.

Answer: [tex]9240\ ft^3[/tex]

Step-by-step explanation:

Given

Dimension of the bathroom is [tex]12'\times 16'[/tex]

Dimension of the bedroom is [tex]14'\times 18[/tex]

Dimension of the great room is [tex]20'\times 30'[/tex]

Height of the ceiling is [tex]h=10'[/tex]

Total area of the cabin

[tex]\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2[/tex]

Volume of the cabin is [tex]V=A\times h[/tex]

[tex]\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3[/tex]

Answer:

Step-by-step explanation:

Cylinder volume:

Substitute values:

As we know the,

General formula for volume of cylinder,

→ V = πr²h

Now we can find,

The volume of the cylinder,

→ πr²h

→ π(24/2)² × 8

→ π × 12² × 8

→ 3619.11 in³

Hence, volume of cylinder is 3619.11 in³.