Write 40/32 in simplest form

Answer:

[tex](6x^2 -5) (x^2 +2 )[/tex]

Step-by-step-explanation:

We are given the following expression and we are to factorize it by grouping:

[tex]6x^4 - 5x^2 + 12x^2 - 10[/tex]

We will group the first two terms and the last two terms to get:

[tex](6x^4 - 5x^2) + (12x^2 - 10)[/tex]

For the first group we need to factor out x^2 and for the second group we will factor out 2.

[tex]x^2(6x^2 - 5) + 2(6x^2 - 5) [/tex]

[tex](6x^2 -5) (x^2 +2 )[/tex]

Answer:

(3, 2)

Step-by-step explanation:

This is a system of equations so I'll solve it using the 'Addition method'.

3x - 2y = 5 | x + 2y = 7

Add the two equations together to get:

4x = 12

x = 3

Then we solve for y using the 2nd expression because it's easier.

3 + 2y = 7

2y = 4

y = 2

The point of intersection of the two lines 3x-2y=5 and x+2y=7 is found to be (3,2) by solving the system of equations simultaneously, making option A the correct answer.

To find the point of intersection of the two lines represented by the equations 3x−2y=5, and x+2y=7, we need to solve these equations together. This involves finding a common solution for x and y that satisfies both equations simultaneously.

Steps to Find the Intersection

Therefore, the point of intersection of the two lines is (3,2), which corresponds to option A.

It looks incomplete, but all linear functions are going to have *ALL REAL NUMBERS*.

answer for this question is 1/16

For this case we have to define trigonometric properties of rectangular triangles that, the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. So:

[tex]Sin (53) = \frac {x} {10}[/tex]

We clear x:

[tex]x = 10 * without (53)\\x = 10 * 0.79863551\\x = 7,986,351[/tex]

Rounding:

[tex]x = 8[/tex]

ANswer:

8.0

Answer:

x could be the opposite or adjacent side ( sin or cos ) but it will still give you the same answer

Step-by-step explanation:

     sin Ф = opp/hyp                    

    sin 53 = x/10

10 sin 53 = x

            x = 7.99

  cos Ф = adj/hyp

   cos 37 = x/10

10 cos 37 = x

             x = 7.99

Answer:

the answer is A.  1  9/16 cubic feet

Step-by-step explanation:

V = lwh

V = (5/3 ft) (5/4 ft) (3/4 ft)

V = 75/48 cu. ft.

V = 25/16 cu. ft.

V = 1  9/16 cu. ft

Answer:  [tex]\bold{B)\quad y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]

Step-by-step explanation:

A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.

[tex]y=4cos\bigg(\dfrac{3}{2}x + \dfrac{\pi}{6}\bigg)\qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{\pi}{6}+\dfrac{\pi}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{4\pi}{6}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]

A i think

its basically x>15

x is amount needed right

Answer: The correct answer would be D. , And A can not the answer because that answer choice represents the absolute value because of the 2 lines around 15 . Hope this clarifys everything.

Step-by-step explanation:

Because in the problem it says " more than 15 assignments" so we would put the more than or equal sign. So the more than or equal to 15 assignments. Therefor, D, represents the situations.

* Hopefully this helps:) Mark me the brainliest :)

∞ 234483279c20∞

72 divided by 9 = 8

Hope I helped

The answers are: A and C

Answer:

28%

Step-by-step explanation:

78 x .36 = 28.08

Answer:

B. 28%

Step-by-step explanation:

Right on edge.

Answer:

3.3 inches of air in the bag.

I don't know how to get the second part. Hope this helps! :)

Answer:

The width of the rectangle is  [tex]9\ units[/tex]

Step-by-step explanation:

Let

x----> the length of rectangle

y----> the width of rectangle

we know that

The area of rectangle is equal to

[tex]A=xy[/tex]

[tex]A=36\ units^{2}[/tex]

so

[tex]36=xy[/tex] ------> equation A

[tex]x=y-5[/tex] -----> equation B

substitute equation B in equation A and solve for y

[tex]36=(y-5)y[/tex]

[tex]y^{2}-5y-36=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]y=9\ units[/tex]

see the attached figure

therefore

The width of the rectangle is  [tex]9\ units[/tex]

Answer: 9 units.

Step-by-step explanation:

Let x be the width of the rectangle .

Then, the length would be x-5.

Area of rectangle = Length x Breadth

[tex]=(x-5)x=x^2-5x[/tex]

Since ,  The area of the rectangle is 36 units.

[tex]\Rightarrow\ x^2-5x=36\\\\\Rightarrow\ x^2-5x-36=0\\\\\Rightarrow\ x^2-9x+4x-36=0\\\\\Rigtarrow\ x(x-9)+4(x-9)=0\\\\\Rightarrow\ (x-9)(x+4)=0\\\\\Rightarrow\ x=9 , -4[/tex]

But width cannot be negative , so width = x= 9 units

Hence, the width of the rectangle = 9 units.

Answer:

The volume of the candle is [tex]147\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder (candle) is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=5/2=2.5\ in[/tex] ----> the radius is half the diameter

[tex]h=7.5\ in[/tex]

substitute

[tex]V=\pi (2.5)^{2} (7.5)[/tex]

[tex]V=46.875\p\ in^{3}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]V=46.875(3.14)=147\ in^{3}[/tex]

3x^2 - 15x + 3x - 15

3x^2 - 12x -15

Answer: =3 x 2 − 12x −15

Step-by-step explanation:

=(3x + 3)(x+−5)

=(3x)(x) + (3x)(−5)+(3)(x)+(3)(−5)

=3x2 − 15x+ 3x − 15

Therefor, the answer is = 3x 2 − 12x − 15

* hopefully this helps:) Mark me the brainliest:)!!!

Answer:

a=3

Step-by-step explanation:

3x3=9

Answer: a=3

Step-by-step explanation: 3*3=9

do you have a picture

Answer:

$35.64

Step-by-step explanation:

$5.78 + $19.87 + $24.99 = $50.64

$50.64 - $15 = $35.64

Answer:

35.64

Step-by-step explanation:

24.99 + 19.87 + 5.78 = 50.64

50.64 - 15= 35.64

Answer:

The area of parallelogram GHTA is [tex]41.568 cm^2[/tex].

Step-by-step explanation:

Given parallelogram GHTA

GH = 8 cm =-AT

GA = 6 cm

∠ GAT =∠ GHT = 60°

To find = Area of parallelogram

Solution:

Draw perpendicular GO on the base AT.

In ΔGOA

[tex]\sin 60^o=\frac{GO}{GA}=\frac{GO}{6 cm}[/tex]

(sin 60°=0.8660)

GO = 5.196 cm

Area of the parallelogram: GO × AT

[tex]=5.196 cm\times 8 cm =41.568 cm^2[/tex]

The area of parallelogram GHTA is [tex]41.568 cm^2[/tex].

The answer would be D 48V3 cm ^2

the v is the root btw

Answer:

38°

Step-by-step explanation:

Angles in a triangle add up to 180° and opposite angles are equal, therefore 180°-104°=76°

76°÷2=38°

I think this is correct :)

Answer:

The correct answer is <1 = 38°

Step-by-step explanation:

From the figure we can see a parallelogram.

Opposite  angles of a parallelogram are equal.

To find the measure of <1

From the figure we get <1 + <2 = <3 + <4

<1 = <2

<1 + <2 + <3 + <4 = 360 - (2 * 104)

 = 360 - 208 = 152

<1 + <2 = 152/2 = 76°

<1 = <2 = 76/2 = 38°

Therefore measure of <1 =  38°

Answer:

the answer is -3 ihope your happy

Step-by-step explanation:

Answer:

the answer is -1

Step-by-step explanation:

o.5 x -2= -1

Answer:

A. 48.35°, 94.94°, 36.71°

Step-by-step explanation:

Given,

ABC is a triangle,

In which AB = 12 miles, BC = 15 miles and AC = 20 miles,

By the cosine law,

[tex]BC^2 = AC^2 +AB^2 -2\times AC\times AB\times cos A[/tex]

[tex]2(AC)(AB)cos A=AC^2+AB^2-BC^2[/tex]

[tex]\implies cos A = \frac{AC^2+AB^2-BC^2}{2(AC)(AB)}----(1)[/tex]

Similarly,

[tex]cos B = \frac{BC^2+AB^2-AC^2}{2(BC)(AB)}----(2)[/tex]

[tex]cos C = \frac{BC^2+AC^2-AB^2}{2(AC)(BC)}----(3)[/tex]

By substituting the values in equation (1),

[tex]cos A=\frac{20^2+12^2-15^2}{2(20(12)}=0.66458[/tex]

[tex]\implies m\angle A\approx 48.35^{\circ}[/tex]

Similarly, from equation (2) and (3),

[tex]m\angle B\approx 94.94^{\circ}[/tex]

[tex]m\angle C\approx 36.71^{\circ}[/tex]

Hence, Option 'A' is correct.

the degree of the polynomial would be 10.

the degree of the above polynomial is (a)10

Answer:

a < [tex]\frac{31}{2}[/tex]

Step-by-step explanation:

Given

a - 15 > - 40 - 6 + 3a ← simplify right side

a - 15 > - 46 + 3a ( subtract a from both sides )

- 15 > - 46 + 2a ( add 46 to both sides )

31 > 2a ( divide both sides by 2 )

[tex]\frac{31}{2}[/tex] > a ⇒ a < [tex]\frac{31}{2}[/tex]

Answer:

We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.

The density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given the data in the question;

First, we calculate the volume of the cube wood block.

Volume of a cube v = a³

v = ( 0.3m )³

v = 0.027m³

Now, we determine the density.

p = m / v

p = 18.954kg / 0.027m³

p = 702kg/m³

Therefore, the density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.

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#SPJ2

Answer:

{1, 17}

Step-by-step explanation:

x2 − 18x + 81 = 64 can be rewritten as x² - 18x + 81 = 64.

Next, x² - 18x + 81 can be rewritten as (x - 9)²

so that we now have:

(x - 9)² = 64.

Taking the sqrt of both sides, we get

x - 9 = ± 8

Then one root is x = 9 + 8 = 17, and the other is x = 9 - 8 = 1.

{1, 17} is the set of roots

Answer:

A.) x=17 or x=1

Step-by-step explanation:

ANSWER

[tex]y-1= \frac{1}{3} (x- 6)[/tex]

EXPLANATION

We want to write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3.

The slope of this line is negative reciprocal of -3.

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

The point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the point and the slope to get;

[tex]y-1= \frac{1}{3} (x- 6)[/tex]

Answer:

y - 1 = 1/3*(x - 6)

Step-by-step explanation:

point-slope form of a line:

y - y1 = m*(x - x1)

where x1 and y1 are the coordinates of the point included in the line and m is its slope.

Two lines are perpendicular when the multiplication of their slopes is equal to -1. In this case,

m*(-3) = -1  

m = 1/3

Replacing this slope and the coordinates of point (6, 1) we get:

y - 1 = 1/3*(x - 6)

Answer:

The answer is simple. If there is $8 an hour and works for 12 hours, just multiply 8 by 12, which is 96. He will earn $96 in a week

Step-by-step explanation:

He make $8 per hour.

He works a total of 12 hour in one week.

12 hours • $8 = $96

He makes $96 in one week.

Answer:

d

Step-by-step explanation:

4 times the number of booths and 20 people.

Answer:

4, 1

Step-by-step explanation:

The equation of the given line in slope-intercept form, y = 4x + 1.

If a line has a slope of m, and a y-intercept of b, the equation of the line in slope-intercept form is y = mx + b.

The slope of the line = rise/run = 8/2

Slope (m) = 4

The y-intercept (b) = 1

Substitute m = 4 and b = 1 into y = mx + b

y = 4x + 1

The equation is y = 4x + 1

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