simplify the following equation 32m : 2km​

Answer:

-3x(7x+8)

Step-by-step explanation:

-3x^2-18x^2-24x

-3x(x+6x+8)

-3x(7x+8)

a = 85°

Step-by-step explanation:

Method 1

5x = 2x + 57° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles)

3x = 57°

x = 57/3 = 19°

a = 180 - 57 - 2x

a = 180 - 57 -2(19)

a = 85°

Method 2

2x + a + 57° = 180°

2x + a = 123° ==> 1

5x + a = 180°

x = (180° - a)/5 ==> 2

By substitution

2((180° - a)/5) + a = 123°

(360° - 2a)/5 + a = 123°

(360° - 2a)/5 = 123° - a

360° - 2a = 5(123° - a)

360° - 2a = 615° - 5a

-2a + 5a = 615° - 360°

3a = 255°

a = 85°

Answer:

It depends on the equations and the variables.

Example of an equation in 2 variables with infinitely many solutions:

sin2x - cos2y + cos2x - sin2y = 0

Example of an equation in 1 variable with 2 solutions:

(x - 1)(x - 2) = 0

Example of 2 equations in 2 variables with no solution:

The intersection of the lines given by

y = 3x + 1

y = 3x + 2

Example of an equation in 1 variable with 1 solution:

5x - 4 = 15

Example of an equation in 1 variable with no real solution:

x2 + 49 = 0

We can go on and on with examples like this. The question is way too general.

Step-by-step explanation:

please mark as brainliest

please mark as brainliest

Answer:

Option C.

Step-by-step explanation:

Answer:

C.    greater than

Step-by-step explanation:

Since 8/7 is greater than 1

multiply it by 12 will result in a larger number.

Answer:

21

Step-by-step explanation:

goes up by 7

Answer:

go a head what can i help you with

Answer:

Step-by-step explanation:

[tex]y_A = 9x -3x - 4 \\y_A = 6x - 4\\\\y_B = 12x - 4\\\\y_C = 5x + x - 4\\y_C = 6x -4[/tex]

Standard equation of a line with slope, m and y - intercept b is y = mx + b.

Clearly. for  the second equation has a different coefficient for x.

a ) The coefficient for x , is the slope of the line.

     Though the y - intercept for each equation is same = - 4.

    For example :

  Expression A = 2 , when x = 1

  Expression B = 8 , when x = 1

  Expression C = 2 , when x = 1

b) From above :

        [tex]y_A \ and \ y_C \ are \ the \ same \ expression.[/tex]

c) Expression A and  C are equivalent because the coefficient of x

    is the same  for A and  C.

Answer:

500 minutes= 8.33 hr

Step-by-step explanation:

The number of hours that he works will be 8 hours and 20 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Jude arrived at work at 7:55 am and left at 4:15 pm.

Convert the time into 24 hours system. Then we have

4:15 pm = 16: 15

7:55 am = 7: 55

Then the number of hours is given as,

    16: 15

  -  7: 55

     8: 20

Then the number of hours that he works will be 8 hours and 20 minutes.

More about the Algebra link is given below.

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Answer:

Suman 37 km/hr

Narayan 43 km/hr

(extremely sorry if this is wrong!!)

Step-by-step explanation:

We can use the formula distance divided by time is speed.

480/6 = 80.

Their speeds must add up to 80 km/hour

Lets set suman as a variable, lets say s.

Narayan has a speed 6 more than suman so we say 6+s

6+s+s = 80

subtract 6 from both sides

s+s = 74

add like terms

s+s = 2s

2s = 74

divide both sides by 2.

74/2=37

s=37

Suman's speed is 37 km/hr.

Narayan's speed would be 6 more than Suman's so we do 6+37

which makes 43 km/hr

The expression which represents the profit is 33x + 390, the correct option is D.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The polynomial= 2x3 + 30x – 130

The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.

Now,

To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:

profit = revenue - cost

profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)

profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520

profit = 33x + 390

Therefore, the expression will be 33x + 390.

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Answer:

please mark as brilliant

Answer:

TN = 13 units

MP = 22 units

TQ = 6.93 units

PT = 13 units

Step-by-step explanation:

If T is a circumcenter of the given triangle MNP,

Measure of TN = Measure of TM = Measure of TN

By applying Pythagoras theorem in ΔMRT,

MT² = TR² + MR²

MT² = (12)² + 5²

MT = [tex]\sqrt{169}[/tex]

MT = 13

Measure of TN = 13 units

Since, TQ, TS and RT are the perpendicular bisectors of the sides MP, NP and MN respectively,

Measure of MP = 2(PQ)

                         = 2(11)

                         = 22 units

By applying Pythagoras theorem in ΔTQM,

MT² = TQ² + MQ²

(13)² = TQ² + (11)²

TQ = [tex]\sqrt{169-121}[/tex]

TQ = [tex]\sqrt{48}[/tex]

TQ = 6.93

Measure of PT = Measure of TN = 13 units

Given:

The logarithmic equation is:

[tex]\log_81=0[/tex]

To find:

The exponential equation for the given logarithmic equation.

Solution:

We have,

[tex]\log_81=0[/tex]

It can be rewritten as:

[tex]8^{\log_81}=8^{0}[/tex]

Using [tex]a^{\log_ax}=x[/tex], we get

[tex]1=8^0[/tex]

[tex]8^0=1[/tex]

Therefore, the correct option is C.

Answer:

B. 864π cu. in.

Step-by-step explanation:

Given the following data;

Diameter = 24 inches

Radius, r = diameter/2 = 24/2 = 12 inches

Height, h = radius/2 = 12/2 = 6 inches

To find the volume of the cylinder in cubic inches;

First of all, we would determine the area of its circular base.

Area of circle = πr²

Area = π * 12²

Area = 144π in² (in terms of pie, π)

Next, we would find the volume of the cylinder;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Substituting into the formula, we have;

Volume = 144π * 6

Volume = 864π cu. in

Answer:

B. 864π cu. in.

Step-by-step explanation:

Answer:

A. 4(x - 4) + 2(3x² + 3x - 20)

C. (11x² + 7x - 55)-(5x² - 3x + 1)

F. (3x² + 5x - 28) + (3x² + 5x - 28)

Step-by-step explanation:

Given:

(3x-7)(2x+8)

= 6x² + 24x - 14x - 56

=6x² + 10x - 56

A. 4(x - 4) + 2(3x² + 3x - 20)

= 4x - 16 + 6x² + 6x - 40

= 6x² + 10x - 56

B. (3x² + 5x - 28) - (2x² + 4x + 28)

= 3x² + 5x - 28 - 2x² - 4x - 28

= x² + x - 56

C. (11x² + 7x - 55)-(5x² - 3x + 1)

= 11x² + 7x - 55 - 5x² + 3x - 1

= 6x² + 10x - 56

D. 4(x - 4) - 2(3x² + 3x - 20)

= 4x - 16 - 6x² - 6x + 40

= - 6x² - 2x + 24

E. (11x² + 7x - 55)-(5x² - 3x + 2)

= 11x² + 7x - 55 - 5x² + 3x - 2

= 11x² - 5x² + 7x + 3x - 55 - 2

= 6x² + 10x - 57

F. (3x² + 5x - 28) + (3x² + 5x - 28)

= 3x² + 5x - 28 + 3x² + 5x - 28

= 6x² + 10x - 56

Answer:

56+8√2=8(7+√2)

Step-by-step explanation:

1. P= AB+BC+CD+DE+EF+FG+GA

2. AB=DC=12

BC=16

AG=ED=4

AG+ED+GE=16

4+4+GE=16

GE=16-8

GE=8

GF²= EF²+GE²

GF²=64+64

GF²=128

GF=8√2

3.P= 12+16+12+4+8+8√2+4= 56+8√2

Answer:

Area = 160 sq cm

Perimeter = 67.31 cm

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.

=16*12 - 1/2 * 8 *8

= 192 - 32

= 160 sq cm

GEF is a right triangle.

Therefore, by Pythagoras theorem:

[tex] FG^2 = FE^2 + GE^2 [/tex]

[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]

[tex] \therefore FG^2 = 64+64 [/tex]

[tex] \therefore FG^2 = 128 [/tex]

[tex] \therefore FG =\sqrt {128}[/tex]

[tex] \therefore FG =11.3137085[/tex]

[tex] \therefore FG = 11.31\: cm[/tex]

Perimeter of the figure

= 12 + 16 + 12+4+8+11.31+4

= 67.31 cm

Answer:

l

Step-by-step explanation:

Answer:

Step-by-step explanation:

just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]

1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Answer:1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Step-by-step explanation:

Answer:

[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]

0.0426 × y = 4260

y = 4260÷0.0426

y=100000

Answer:

D

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

Answer:

La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.

Step-by-step explanation:

Existen 392 estudiantes entre los que consumen alimentos saludables y los que no se alimentan de forma adecuada. Esto es:

Estudiantes que se alimentan adecuadamente + Estudiantes que no se alimentan adecuadamente= 392

El numero de estudiantes que se alimentan de forma inadecuada es el triple del número de estudiantes que consumen alimentos saludables menos 8. El triple de un número se calcula multiplicando el número por 3. Entonces, siendo x la cantidad de estudiantes que se alimentan adecuadamente, la cantidad de estudiantes que no se alimentan adecuadamente se puede calcular como: 3*x - 8

Por lo que:

x + 3*x - 8= 392

Resolviendo:

x + 3*x= 392 + 8

4*x= 400

x= 400÷4

x= 100

Entonces: 3*x - 8= 3*100 -8= 300 - 8= 292

La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.

B

The y-values go from at least -6 to at most 9 so B fits that

Answer:

-6 <=y <=9

Step-by-step explanation:

Answer:

the length of adjacent =√25²-24²=√49=7

sin 0 = 24/25

cos 0 = 7/25

tan 0 = 24/7

Answer:

option b

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°.

That is,

     120 + y + 85 + 53 = 360

              y = 360 - 120 - 85 - 53

              y = 102

Answer:

Option B is correct

Step-by-step explanation:

Hint :

Sum of angles in quadrilateral = 360°

Simplify :

[tex] {y}^{o} + {120}^{o} + {85}^{o} + {53}^{o} = {360}^{o} \\ {y}^{o} + {258}^{o} = {360}^{o} \\ {y}^{o} = {360}^{o} - {258}^{o} \\ {y}^{o} = {102}^{o} [/tex]

Answer:

60

Step-by-step explanation:

I hope this is correct, if it is wrong please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

m=5/2

Step-by-step explanation:

just did

Answer:

(F.g(x))=x^2-10x+24

Step-by-step explanation:

when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,

so f(x)=x^2-6x+8

and we will put x-2 which is g(x) in the place of every x

so f(g(x))=(x-2)^2-6(x-2)+8

so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8

which simplifies to f(g(x))=x^2-10x+24