one fourth of a number is 12 find the number​

Answer:

c

Step-by-step explanation:

because it is in circular shape

Step-by-step explanation:

Prove the following?

cos7x+cos5x+cos3x+cosx=4cosxcos2xcos4x

2

SEE ANSWERS

Answer

3.4/5

36

LHS=cos7x + cos5x + cos3x + cosx

=2cos[(7x+5x)/2].cos[(7x-5x)/2] + 2cos[(3x+x)/2].cos[(3x-x)/2]

[∵ cosA + cosB = 2.cos[(A+B)/2].cos[(A-B)/2]]

=2cos[(12x)/2].cos[(2x)/2] + 2cos[(4x)/2].cos[(2x)/2]

=2cos 6x.cosx+2cos2x.cosx

=2cosx(cos 6x+ cos 2x)

=2.cosx(2cos[(6x+2x)/2].cos[(6x-2x)/2]

=2.cosx(2cos4x.cos2x)

=4.cosx.cos2x.cos4x

=RHS.

hope this helps you!!!!! :))))))))

Answer:

x₁ = 60 pantalón de buzo

x₂ = 0  casaca

z(max) = 540 unidades de monedas

Step-by-step explanation:

El problema se resolverá usando un software de solución de problemas de optimización (integer linear programming solver)

z = 9*x₁ + 12*x₂       a maximizar

Sujeto a:

1) Primera restricción disponibilidad de algodón 500 m de tela

1*x₁ + 2*x₂   ≤ 500

2)Segunda restricción disponibilidad de poliester  520 m de tela

2*x₁ + 1*x₂ ≤ 520

3) Tercera restricción  tiempo disponible 8 h/d * 5 d/s = 40 h/s

40 * 60  = 240 minutos disponibles, entonces

4*x₁ + 10*x₂  ≤ 240

4)Restricciones generales  x₁ ≥ 0 ;   x₂ ≥ 0 ambas solo deben tomar valores enteros

Con el uso del calculador en línea se obtiene:

x₁ = 60

x₂ = 0

z(max) = 540

Answer:

7a-5=2a -15

7a-2a=-15+5

5a=-10

5a/5=-10/5

a=-2

Answer:20

Step-by-step explanation:160÷8=20

Answer:

150 ft/hr

Step-by-step explanation:

Average rate of change is slope over an interval, so change in y over change in x:

[tex]\frac{3500-3200}{3-1} =150[/tex] ft/hr

Answer:

some reason i cant see the image is this just me

Step-by-step explanation:

Y is the vertical distance. The top of the curve is at y = 4 and the bottom of the curve is at y = -5, so the function would be between y -5 and y 5 which is written as :

D. -5 <= y <= 5

Answer:

8.49 per pair/pack of gloves

Step-by-step explanation:

i got this by taking 33.96 divided by 4 so i could find out how much for one pair

Answer:

1360322

Step-by-step explanation:

do ot nowwwwwwwww

Answer:

3(x-2)+6=6x-9

[tex]3x - 6 +6 =6 x - 9 \\ 3x - 6x = - 9 \\ - 3x = - 9 \\ x = - 9 \div - 3 = 3[/tex]

Answer:

10

Step-by-step explanation:

Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

490/30 = 82

you simply just divide the two numbers to get slope

Answer:

Correct answer is 3/49

Step-by-step explanation:

Answer:

AB is 13

Step-by-step explanation

Answer:

(-3,-1)

Step-by-step explanation:

You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.

Answer:

[tex]D(x,y) = (-1.5,3.5)[/tex]

Step-by-step explanation:

Given

[tex]E = (-3,2)[/tex]

[tex]F = (3,8)[/tex]

[tex]ED: DF = 1 : 3[/tex]

Required

Determine the coordinates of D

This is calculated as thus:

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-3,2)[/tex]

[tex](x_2,y_2) = (3,8)[/tex]

[tex]m:n = 1:3[/tex]

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]

[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]

[tex]D(x,y) = (-1.5,3.5)[/tex]

Answer:

48, 60 and 72

Step-by-step explanation:

Given;

    The ratios of the angle in the triangle  = 4:5:6;

Unknown:

The angle of the triangle = ?

Solution:

  We must understand that the sum of angles in a triangle is 180°

 So as ratios;    4:5:6 denotes some certain multiples that sums up to  180°

 Let the multiple number  = x; so

      4x : 5x : 6x

      4x + 5x + 6x = 180

            15x = 180

                = 12

The angles in the triangles are:

        4(12) : 5(12) : 6(12)

        48 : 60 : 72

These angles are 48, 60 and 72

it's the same thing

[tex]slope = \frac{Δy}{Δx} or \frac{change \: in \: y}{change \: in \: x} = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} [/tex]

Answer:

1/3

Step-by-step explanation:

i hope this helps you! :)

Answer:

1/3

Step-by-step explanation:

When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.

Answer:

m [slope] = 5/2

Step-by-step explanation:

Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).

There is a rise of 5 units for every run of 2 units.

(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)

m = ∆y/∆x [Change in y over the change in x]

m = 50/20

m = 5/2

Answer:

6 thirds

Step-by-step explanation:

you're welcome

Answer:

I think it is 8

Step-by-step explanation:

6 1/2 divided by 3/8 = 8

hope this helped

Answer:

3032

Step-by-step explanation:

379 x 8 = 3032

use math, also box method

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

the intersection of two planes is a line. Planes are like grids so if you have a 3d model, they'd create a line

Answer:

M=4

Step-by-step explanation:

I hope this helps!

Answer:

60%

Step-by-step explanation:

The shape is divided to 10 pieces and 6 of the pieces are painted if we multiply

6 put of 10 is orange therefore 60% of the sahpe is orange

Answer:

60%

Step-by-step explanation:

the number shaded divided bt the number of all division multiplied by 100

6÷10×100

=60%