ater it
i) A number consists of two digits. If the number formed by reversing its digits
is added to it, the sum is 143 and if the same number is subtracted from it the
remainder is 9. Find the number.
Ts hend
A numhor consists of turn dinits whose sum is 9 If three times the number is equal

Answer: 10 rows

Step-by-step explanation:

Given:

Seats on each row = 199.

Population of student attending = 1990.

no of students from same school = 39.

Therefore;

If the students from same school must seat in same row determine the number of rows that most be reserved for these students.

1. At most 39 students from same school

= total population of all students/ students from same school

= 1990 / 39

= 51 schools would be attending the event

2. No of students a row can accommodate

= Seats on each row / no of students from each school

= 199/39

= 5

3. No of rows to that most be reserved

= 51 / 5

= 10

So 10 rows must be reserved.

Answer:

A

Step-by-step explanation:

3^5 x 3^4

=3^5 + 4

=3^9

so the answer is option A

Answer:

x = 36°

Step-by-step explanation:

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

Sine is viable here since opposite and hypotenuse are given.

sin x = 13 / 22

x = sin⁻¹ (13 / 22)

x = 36.2 ≈ 36

Answer:

x ≈ 36.2°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{22}[/tex] , thus

x = [tex]sin^{-1}[/tex] ([tex]\frac{13}{22}[/tex] ) ≈ 36.2° ( to 1 dec. place )

Answer:

y = -4x + 11

D is correct

Step-by-step explanation:

Write in slope - intercept form, y = mx + b.

Hope this helps :)

Answer:

D, y=-4x+11

Step-by-step explanation:

To find the correct one, you first need to make sure you know the slope, you do this by using this formula

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

-9-19/5--2 you get

-28/7 which simplifies to

-4

We now know the slope is -4 so it has to be A, C or D

To find the y-intercept, I use an online site called desmos.

Hope this helps, if you have any questions, feel free to ask.

Have a good day! :)

Answer:

Step-by-step explanation:

a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x

b)1030000*(0.13*200)=26780000

there are two different power : power and exponent

exponent :    5⋅5⋅5=5^3

power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4

"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x

i hope it helps

Answer:

Slope =  [tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

(5 , -2)   ; (-3, 4)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\[/tex]

Answer:

C. Scalene

F. Obtuse

Step-by-step explanation:

The triangle is scalene because all 3 sides are different lengths.

The triangle is obtuse because 1 angle is bigger than 90° (132°).

Answer:

scalene

obtuse

Step-by-step explanation:

All the sides are different length, so it is a scalene triangle

The 132 degree angle is greater than 90 degrees and less than 180 so it is obtuse

Answer:

Hey there!

Eight years ago, Manuel's age was 36/2, or 18.

Now, his age is 18+8, or 26 years old.

So, he is 26 years old now.

Hope this helps :)

Answer:

the letter in the green box should be 3.

i believe the full equation should be y= -3/2 x+1

Step-by-step explanation:

the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.

Answer:

The numbers at 13 and 13

Step-by-step explanation:

The two numbers in question are equal, and if their sum is 26, then they must be 13 and 13.

The two numbers are (13, 13).

Given that,

The sum of the two numbers is 26.

And the sum of their square is minimum.

We have to determine,

The two numbers are.

According to the question,

Let, the first number be x,  

and the second number be y.

The sum of the two numbers is 26.

[tex]x + y = 26[/tex]

And The sum of their squares is a minimum.

[tex]x^2 + y^2 = h[/tex]

Solving both the equation,

[tex]x + y = 26\\\\x = 26-y[/tex]

Substitute the value of x in equation 2,

[tex]x^2 + y^2 = h\\\\(y-26)^2 + y^2 = h \\\\y^2 + 676 -52y + y^2 = h\\\\2y^2 -52y + (676-h) = 0[/tex]

Then, The vertex of the parabola is,

[tex]\dfrac{-b}{2a} = \dfrac{-(-52)}{2(2)} = \dfrac{52}{4} = 13[/tex]

The minimum value of the parabola is 13, which is also the sum of squares.

Therefore, The two number is x = 13 and y =13.

To know more about Parabola click the link given below.

https://brainly.com/question/4074088

Answer: a) cot x - cot x cos x

Step-by-step explanation:

[tex]\dfrac{\sin x}{\sec x+1}\bigg(\dfrac{\sec x-1}{\sec x-1}\bigg)\\\\\\=\dfrac{\sin x(\sec x-1)}{\tan^2 x}\\\\\\=\dfrac{\sin x\sec x-\sin x}{\tan^2 x}\\\\\\=\dfrac{\sin x\sec x}{\tan^2}-\dfrac{\sin x}{\tan^2 x}\\\\\\=\dfrac{\frac{\sin x}{\cos x}}{\frac{\sin x}{\cos x}\tan x}-\dfrac{\sin x}{(\frac{\sin x}{\cos x})^2}\\\\\\=\dfrac{1}{\tan x}-\dfrac{\cos x\cos x\sin x}{\sin x\sin x}\\\\\\=\large\boxed{\cot x-\cot x\cos x}[/tex]

Answer: the monthly​ payment is $192

Step-by-step explanation:

The cost of the new home entertainment system is $14230.

If the down payment is ​$2300, then the balance to be paid would be

14230 - 2300 = $11930

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the balance

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $11930

r = 0.05/12 = 0.0042

n = 72 months

Therefore,

P = 11930/[{(1+0.0042)^72]-1}/{0.0042(1 + 0.0042)^72}]

11930/[{(1.0042)^72]-1}/{0.0042(1.0042)^72}]

P = 11930/{1.352 -1}/[0.0042(1.352)]

P = 11930/(0.353/0.0056784)

P = 11930/62.125

P = $192

Answer: Option C

Step-by-step explanation: When we count all bases of the squares present

in the triangle,( do not count the number of boxes just the base of the squares) we notice that all of them covers 4 base of the squares, except option c where it covers 5 bases.

Answer:

28

Step-by-step explanation:

2³ + 3² - 3(4) - 5²/5 + 7(4)

8 + 9 - 12 -25/5 + 28

17 - 12 - 5 + 28

5 - 5 + 28

28

Easiest and fastest way to is plug it into the calc and calculate. If not, use BPEMDAS.

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~`

Rational number of  0. 515115111 : 0.515

Irrational number of 0.535335333 : 0.51626226222622226222226

Hope this helped you. Brainlies would be nice!

~~~~~~~~~~~~~~~~~~~~~

Answer: x = 148 degrees

Step-by-step explanation:

This problem makes use of Supplementary Angles.  Supplementary Angles states that two angles that make up a line add to 180.  Thus, simply use the equation 32 + x = 180

x = 148

Hope it helps <3

Answer:

(2, -2) are the coordinates of the point which divides BA into ration 2:4.

Step-by-step explanation:

The given two co-ordinates of A are (-2, 6) and B is (4, -6).

Let P be the point that divides the line BA into ratio 2:4.

to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where (x,y) is the co-ordinate of the point P which  

divides the line segment joining the points [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] in the ratio m:n.

Please refer to the attached image.

As per the given values :

[tex]x_{1} = 4\\x_{2} = -2\\y_{1} = -6\\y_{2} = 6\\[/tex]

Putting the given values in above formula :

x-co-ordinate of P:

[tex]x = \dfrac{4 \times 4 -2 \times 2}{4+2}\\\Rightarrow \dfrac{12}{6}\\\Rightarrow x = 2[/tex]

y-co-ordinate of P :

[tex]y = \dfrac{4 \times -6 +2 \times 6}{4+2}\\\Rightarrow \dfrac{-24+12}{6}\\\Rightarrow \dfrac{-12}{6}\\\Rightarrow y = -2[/tex]

So, answer is P(2, -2).

Answer:

(4y7+7x4)(−4y7+7x4)

Step by Step:

Factor 49x8−16y14

−16y14+49x8

=(4y7+7x4)(−4y7+7x4)

The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

49x⁸ − 16y¹⁴

As we know the polynomial identity:

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

a² - b² = (a - b)(a + b)

The expression 49x⁸ − 16y¹⁴ can be written as:

= (7x⁴)² − (4y⁷)²

After using the identity: a² - b² = (a - b)(a + b)

= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)

Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

41.04

Step-by-step explanation:

Given

[tex]\sqrt{207936}[/tex] = 456, then

[tex]\sqrt{\frac{207936}{100} }[/tex] = [tex]\sqrt{2079.36}[/tex] = [tex]\frac{456}{10}[/tex] = 45.6

[tex]\sqrt{\frac{207936}{10000} }[/tex] = [tex]\sqrt{20.7936}[/tex] = [tex]\frac{456}{100}[/tex] = 4.56

Thus

[tex]\sqrt{2079.36}[/tex] - [tex]\sqrt{20.7936}[/tex] = 45.6 - 4.56 = 41.04

Answer:

41.04

Step-by-step explanation:

[tex] \sqrt{2079.36 } = 45.6 [/tex]

[tex] \sqrt{20.7936} = 4.56[/tex]

[tex]45.6 - 4.56 = 41.04[/tex]

Answer:

∠ N = 40°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent, thus

∠ L = ∠ N , substitute values

3x - 20 = 2x ( subtract 2x from both sides )

x - 20 = 0 ( add 20 to both sides )

x = 20

Thus

∠ N = 2x = 2(20) = 40°

From the given quadrilateral, the value of angle N is 40°

Data;

Opposite angles in a parallelogram are equal to each other.

[tex]N = L\\2x = 3x - 20\\3x- 2x = 20\\x = 20[/tex]

The value of x is equal to 20.

Let's substitute that into N

[tex]N = 2x \\N = 2(20)\\N = 40^0[/tex]

The value of angle N is 40°

Learn more on parallelogram here;

https://brainly.com/question/24056495

Answer:

1. 1/3 and -6/1,-3/1

2. -4 and -4h+20

3.-6/1 and  2-6/1j

plz mark brainliest

you told you would

Hey there! :)

Answer:

A. 3/2.

Step-by-step explanation:

Use the slope formula and 2 points on the graph to find the slope:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{1 - (-2)}{0 - (-2)}[/tex]

Simplify:

[tex]m = \frac{3}{2}[/tex]

Therefore, the slope of the line is A. 3/2.

Answer:

The answer is 0.

I hope it will help you

Answer:

360 degrees

Step-by-step explanation:

The sum of all exterior angles in any convex polygon is 360 degrees.

Answer:

360 degrees.

Step-by-step explanation:

The sum of exterior angles of every polygon is 360 degrees so the What is the sum of the exterior angles of a 14-gon is also equal to 360 degrees.

Answer:

f(x) = 2(x+3)^4

Step-by-step explanation:

I graphed the functions on the graph below so you can see how I got my answer.

Answer:

g(x)=2x^4+3

Step-by-step explanation:

Answer:

200ft

Step-by-step explanation:

==>Given:

Radius of circle = 20ft

Central angle of minor arc PR in radians = θ = 10

==>Required:

Length of minor arc PR

==>Solution:

Length of minor arc PR = θ(r)

r = 20ft

θ = 10

Length of minor arc PR = 10*20

Length of minor arc PR = 200ft

Answer:

(2x-3)(2x+3)

Step-by-step explanation:

4x^2-0x-9

(4x^2-9)

(2x)^2 - (3)^2

We recognize that this is the difference of squares a^2 - b^2 = (a-b)(a+b)

(2x-3)(2x+3)

Answer:

17 nickels

Step-by-step explanation:

To be able to find the answer, you can say that the sum of the value of each coin multiply for its quantity is equal to 10.08, which you can express as follows:

quarters= 0.25

dimes= 0.10

nickels= 0.05

pennies= 0.01

(0.25*19)+(0.10*39)+(0.05*x)+(0.01*58)=10.08, where

x= the quantity of nickels

Now, you can solve for x:

4.75+3.9+0.05x+0.58=10.08

0.05x=10.08-4.75-3.9-0.58

0.05x=0.85

x=0.85/0.05

x=17

According to this, the answer is that there are 17 nickels in the cup holder.

Answer:

0.15 or 15%

Step-by-step explanation:

Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:

[tex]P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}[/tex]

In this case, a = 47.0 and b = 52.0 minutes.

The probability that a given class period runs between 50.25 and 51.0 minutes is:

[tex]P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%[/tex]

The probability is 0.15 or 15%.

Answer:

y = - 9.1768x2 + 122.2567x + 14.9091

Step-by-step explanation:

Given the following :

Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195

Using the online regression equation graphing tool ; The quadratic model obtained in the form,

y = Ax^2 + Bx + C is :

y = - 9.1768x2 + 122.2567x + 14.9091

Attached below is a picture of the quadratic regression curve.