Answer: The number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order = 336 .
Step-by-step explanation:
Given word = "EQUATION"
Total letters = 8
Total Vowels (EUAIO)=5
Total number of ways to arrage letters = 8!
Number of ways to arrange vowels in alphabetical order = 5!
Then, The number of ways that all the vowels are in alphabetical order will be :
[tex]\dfrac{8!}{5!}=\dfrac{8\times7\times6\times5!}{5!}=336[/tex]
Hence, the number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order = 336 .
please can you help for this questiong
Calculate the length of the opposite side of a right triangle with a hypotenuse of 16 inches and angle of 25 formed at the intersection between the adjacent side and the hypotenuse
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.
Here is a list of numbers:
8.4, 6.2, 8.8, 1.5, 0.5, 1, 5.4, 3.3, 2.2
State the median.
I need help ASAP
Leigh is going diving and needs to descend to a depth of 360 feet below sea level. She wants to do it in 12 equal descents. How far should she travel in each descent?
Answer:
30 feet
Step-by-step explanation:
If they are equal, just divide 360 by 12.
360 ÷ 12 = 30
Brainliest question please please help me please
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:
Find the volume of a pyramid with a square base, where the perimeter of the
base is 12.8 m and the height of the pyramid is 12.5 m. Round your answer
to the nearest tenth of a cubic meter.
Answer:
m3
Submit Answer
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]
1 of 10
Colin buys a tv for £810.
It depreciates at a rate of 3% per year.
How much will it be worth in 3 years?
Give your answer to the nearest penny where appropriate.
7
8
9
q
W
e
r
t
y
u
o
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
Drag a symbol to the first box and a number to the second box to complete the solution to this inequality. Each number or symbol can be used once or not at all. –2(z + 5) + 20 > 6
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:
Pia used 2/3of her sugar to make 3/4of a batch of cookies. How much of her sugar would she need to make the whole batch? Write the expression you would use and then solve it.
Please answer
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.
What is the base of the expression g 12?
Answer:
Step-by-step explanation:
number A 3
Tamir wants to build a square wooden stage. His original pin for a stage x
feet long and x feet wide had to be made smaller to fit the space. The stage
needs to be 5 feet narrower and 3 feet shorter than his original plan. Which
multiplication problem represents this situation? What is the area of the
smaller stage?
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
given two consecutive numbers, we are told that twice the first number is twelve more than the second number. What are the two numbers?
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
Please help! Correct answer only, please! I need to finish this assignment this week. Determine the value of the following if it is possible. If it is not possible, explain.
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.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was to . If there were 12,779 total votes, how many yes votes were there?
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.
x^2+6x+8=0
someone help me with the equation. i’m super confused and don’t know if i’m doing it right
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)
Which equation represents a circle with a center at (2,8) and a radius of 11?
(x – 3)2 + (y + 2)2 = 11
(x-2)2 + (y + 8y2 = 121
(x + 2)2 + (y - 3)2 = 11
(x + 3)2 + (y – 2y = 121
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.
PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !! 15 POINTS !!
Answer:
The answer is C
Step-by-step explanation:
Please mark me Brainliest
Someone pls help me it would be amazing thank u a lot
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:
Find the sum of the first 18 terms of the arithmetic sequence whose nth term is an = 3n - 1.
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
PLEASE HELP!!!!!!!! IMAGE ATTACHED!!!!
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]
Q6.
2
(8 + 2 x 6)2 =
the two at the end of the brackets is squared it a small two
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.
PLEASE HELP 20 POINTS!
This pattern follows the rule add 2. What is another feature of this pattern?
An image of a pattern. Term one has one dot, term two has three dots, term three has five dots, term four has seven dots.
A. The terms appear even, odd, even, odd.
B. All the terms are even.
C. Two terms are even, then two terms are odd.
D. All the terms are odd.
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.
Multiply the binomials using the box method.
(y+3)(y−6) =
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
Tick the correct answer
Please answer Fast.......
Answer:
c
Step-by-step explanation:
2^1\6
4√(3√2^2)= 2^1\6
If f(x) = 3x^2 +1 and g(x) = 1-x, what is the value of (f-g)(2)
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]
Evaluate 2(x+1)-3 when x=6
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
What is an equation of the line that passes through the point (− 2, 5) and is parallel to the line 3x + 4y = 12 ?
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]
when sunayana purcased a video-game she paid Rs 162.50 as VAT at the rate of 13%. find its cost without levying VAT. Rs 1250 is answer please how to take out this answer PLEASE HELP ME
Answer: 1250
Step-by-step explanation:
Let price be x
13/100x = 162.50
x = (162.50/100) / 13 = 1250
Which of the binomials below is a factor of this
trinomial?
x2 + 13x + 40
O A. x+ 5
O B. X-5
O C. X+4
O D. X-4
Which polynomial is in standard form? 2xy^3 +3x^3 y^4 -4x^4 y^5 +9x^5 y^6 Which polynomial is in standard form?
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:
