[10 points] Find the number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order.

Answer:

I think the answer is (x + 4) • (x + 2)

Step-by-step explanation:

First multiply the coefficient of the first term by the constant

Step 2: Find two factors of 8 whose sum equals the coefficient of the middle term 6

Step 3: write the polynomial splitting the middle term using the two factors found in step 2

Step 4:  Add up the first 2 terms, pulling out like factors :

                   x • (x+2)

Add up the last 2 terms, pulling out common factors :

                   4 • (x+2)

Step 5: Add up the four terms in step 4

(x+4)  •  (x+2)

Your final answer is (x + 4) • (x + 2)

Answer: The question is incomplete

Step-by-step explanation: The answer to this question cannot be determined correctly since an important detail is missing.

However, let me explain how you would normally go about it by using an example of mine. If for example the ratio of yes votes to no votes was 8 to 5, and the question requires you to calculate how many yes votes were there as indicated in your question, then the first step would be to find the total number of both sides of the ratio. That is add 8 to 5 which gives you 13. This means if there was a total of 13 votes cast, every yes vote stands for 8 out of 13 votes and every no vote stands for 5 out of 13 votes.

To express it mathematically, every yes vote would be 8/13 of the total (12779) and every no vote would be 5/13 of the total (12779).

Therefore to determine how many yes votes there was, is calculated as follows;

Let yes votes be y and no votes be x'

y = (8/13) * 12779

y = 102232/13

y = 7864

Based on my example that the ratio of yes votes to no votes is 8 to 5,

Then the number of yes votes was 7,864.

Answer:

c

Step-by-step explanation:

2^1\6

4√(3√2^2)= 2^1\6

Answer:

(D) [tex]5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9[/tex]

Step-by-step explanation:

A polynomial is said to be in standard form when it is arranged in descending powers of x.

When there are more than one variable, the alphabetical order is followed. For example, if there are variables x and y in the polynomial, x must be in descending order and y will be in ascending order.

From the given options, the polynomial which is in standard form is:

[tex]5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9[/tex]

The correct option is D.

Answer:

d

Step-by-step explanation:

Answer:

36.87°

Step-by-step explanation:

With reference angle C

perpendicular (p) = 27

base(b) = 36

Now

Tan C = p/b

Tan C = 27/36

C = tan ^-1( 27/36)

= 36.87°

Hope it helps

:)

Answer:

36.87

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Please mark me Brainliest

Answer:

Equation;

(3/4)x = 2/3

Solving;

x = 8/9

she would need 8/9 of her sugar to make a full batch.

Step-by-step explanation:

Let x represent the amount of sugar that would be needed to make the whole batch.

Given that;

Pia used 2/3 of her sugar to make 3/4 of a batch of cookies.

Since 2/3 of her sugar is needed to make 3/4 of a batch of cookies, then;

(3/4)x = 2/3

Solving the equation, dividing both sides by 3/4;

(3/4)x ÷ 3/4 = 2/3 ÷ 3/4

x = 2/3 × 4/3

x = 8/9

Therefore she would need 8/9 of her sugar to make a full batch.

Answer:

b .  

Area=(x-5) (x-3)

Area =  x^2 -8x+15

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Area of a rectangle = width x length

The original length and width was x, so if the stage needs to be 5 feet narrower and 3 feet shorter.

x-5

x-5

The formula is:

A=(x-5) (x-3)

Solving:

A = (x.x) + (x.-3) + (-5.x)+ (-5.-3)

A = x^2 -3x -5x+15

A = x^2 -8x+15

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex]2(6+1)-3[/tex]

[tex]2(7)-3[/tex]

[tex]14-3[/tex]

[tex]11[/tex]

Answer:

11

Step-by-step explanation:

1. insert 6 in the x spot

2. add inside of the parenthesis (6+1)=7

3. multiply 2 and 7 to get 14

4. take 3 from 14 to get 11

Answer: C outside of the circle

Step-by-step explanation:

The answer is c because

point 4, -1 falls outside of the

circle.

Hope this helps :)

Answer:

Its on the circle

Step-by-step explanation:

Answer: 1600

Step-by-step explanation:

2(8+2x6)

2(8+12)

2(20)

40

[tex]40^{2}[/tex]

1600

Mark me as the brainiest answer.

Answer:

Step-by-step explanation:

number A 3

Answer: [tex]y=-\frac{3}{4} x+3.5[/tex] or [tex]y=-\frac{3}{4}x+\frac{7}{2}[/tex]

Step-by-step explanation:

A parallel line has the same slope and different y-intercepts.

Let's change our equation to slope-intercept.

[tex]3x+4y=12[/tex]

[tex]4y=12-3x[/tex]

[tex]y=\frac{12-3x}{4} =3-\frac{3}{4}x[/tex]

[tex]y=3-\frac{3}{4} x[/tex]

Now that we know our slope is -3/4, we know the equation will have -3/4 as the slope. Let's leave b blank so that we can find the y-intercept of the parallel line.

[tex]5=-\frac{3}{4}(-2)+b[/tex]

[tex]5=\frac{3}{2} +b[/tex]

[tex]3.5=b[/tex]

Our parallel equation is [tex]y=-\frac{3}{4}x+3.5[/tex] or [tex]y=-\frac{3}{4} x+\frac{7}{2}[/tex]

Answer:

[tex](x-2)^2+(y-8)^2=121[/tex]

Step-by-step explanation:

This is because if you can see that the, x is being subtracted by 2, making the x-coordinate +2. and the y is being subtracted by 8, making the y coordinate +8.

(2, 8) = Coordinates

And the reason it has a radius of 11 is because the 121 on the other is the product of 11 times 11.

Answer:

Step-by-step explanation:

4) (-2,3)   ;  (-1,-2)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5[/tex]

5) line is parallel to x-axis. So, slope= 0

6) (1,1) ;  (-2, -1)

[tex]Slope=\frac{-1-1}{-2-1}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}[/tex]

Answer:

I=72.9

Step-by-step explanation:

I=PRT When P= the principal=810, R=rate=3% and T=time(by year)=3 years

I=810*3/100*3

I=24.3*3

I=72.9

Answer:

Simple interest/Interest = £72.9

Step-by-step explanation:

We have to find the simple interest at this point.

So use the formula:

I = prt or I = p x r x t

I = amount of interest

P = principal amount (810)

R = interest rate (in years) (.03)

T = amount of time in (years) (3)

All we need to do is multiply.

I = (810)(.03)(3)

I = £72.9

Answer: 1250

Step-by-step explanation:

Let price be x

13/100x = 162.50

x = (162.50/100) / 13 = 1250

Answer:

Option D is the correct answer

Step-by-step explanation:

Since, dimensions of both the matrices are different. Hence we can't add them.

Answer:

6.76 in

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle  formed at the intersection between the adjacent side and the hypotenuse , and the opposite side is x :

Replacing with the values given:  

Sin 25 = x/ 16  

Solving for x  

sin25 (16) =x  

x= 6.76 in

Feel free to ask for more if needed or if you did not understand something.  

Answer:

30 feet

Step-by-step explanation:

If they are equal, just divide 360 by 12.

360 ÷ 12 = 30

Answer:

y^2 -3y - 18

Step-by-step explanation:

y x y= y^2

3 x y = 3y

y x -6 = -6y

-6y +3y = -3y

3 x -6 = -18

y^2 -3y - 18

Answer: The numbers are 13 and 14

Step-by-step explanation:

Since they are two consecutive numbers, let the numbers be x and x+1.

We are told that twice the first number is twelve more than the second number. This can be expressed as:

2 × x = x+1+12

2x = x+13

2x-x = 13

x = 13

Since x = 13, x+1 = 13+1 = 14

The numbers are 13 and 14

Answer:

495

Step-by-step explanation:

In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.

a1=3(1)-1        a1=2

a18=3(18)-1   a18= 53

Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)  

Sn=18/2(2+53)  Solve for sn= 495

Answer:

[tex]42.7\,\,cubic\,\, meters[/tex]

Step-by-step explanation:

Given: Perimeter of base of a pyramid = 12.8 m

Height of the pyramid = 12.5 m

To find: volume of a pyramid

Solution:

Perimeter of base of a pyramid = 12.8 m

As base of the pyramid is a square,

12.8 = [tex]4(side\,\,of\,\,a\,\,square)[/tex]

side of a square = [tex]\frac{12.8}{4}=3.2\,\,m[/tex]

Area of a square (A) = [tex](side\,\,of\,\,a\,\,square)^2=(3.2)^2=10.24\,\,m^2[/tex]

Height of the pyramid (h) = 12.5 m

Volume of the pyramid = [tex]\frac{Ah}{3}=\frac{1}{3}(10.24)(12.5)=42.7\,\,cubic \,\,meters[/tex]

Answer:

14

Step-by-step explanation:

Let's find (f-g)(x)

[tex]3x^{2} + 1 - (1-x)\\3x^{2} + 1 -1 + x\\3x^{2} + x[/tex]

Now let's plug in x=2, so to find (f-g)(2)

[tex]3(2)^{2} + 2\\12 + 2 = 14[/tex]

Answer:

[tex]z<2[/tex]

Step-by-step explanation:

Given the inequality: [tex]-2(z + 5) + 20 > 6[/tex]

Step 1: Distribute the bracket

[tex]-2(z + 5) + 20 > 6\\-2z-10+20>6\\-2z+10>6[/tex]

Step 2: Subtract 10 from both sides

[tex]-2z+10-10>6-10\\-2z>-4[/tex]

Step 3: Divide both sides by -2

Note that when you divide an inequality by a negative sign, the inequality sign is reversed.

[tex]-2z>-4\\\dfrac{-2z}{-2}< \dfrac{-4}{-2}\\\\$Therefore, $z<2[/tex]

Answer:

z<2

That is the answer.

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

According to the image description provided:

Term one starts with one dot. One is an odd number.

If you add two to an odd number, the sum would be another odd number. This is what's happening with the pattern.

For example:

[tex]3+2 =5[/tex]

Three is an odd number. If you add two to it, you would get five, which is another odd number.

Term two has 3 dots, term three has 5 dots, term four has 7 dots.

So, all terms should be odd.

Option D should be the correct answer.