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2 months ago

Guest #2508

2 months ago

There are 3 terms. -2x and 8x are like terms, -6y is its own term, and 8 and 11 are like terms.

Question

Find the value of the combination 13 c 5

Solution 1

13C5= 1287

Hope this helps

Hope this helps

Question

Find the value of the combination 9 c 4

Solution 1

9C4= 126.

Hope this helps

Hope this helps

Question

Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius of the can to be 1 3/8 times the height of the can. He models the can on a coordinate grid as a rectangle in the first quadrant that will be rotated around the y-axis to create the 3-dimensional can. What will be the diameter of the can?

Solution 1

The height of the can for this case is given by:

h = 40 mm

The radius of the can is given by:

r = (1 3/8) * h

Substituting values:

r = (1 3/8) * 40

r = 55 mm

Therefore, the diameter of the can is:

d = 2 * r

d = 2 * 55

d = 110 mm

**Answer:**

**The diameter of the can will be:**

**d = 110 mm**

h = 40 mm

The radius of the can is given by:

r = (1 3/8) * h

Substituting values:

r = (1 3/8) * 40

r = 55 mm

Therefore, the diameter of the can is:

d = 2 * r

d = 2 * 55

d = 110 mm

Question

What are the factors of x^2-64

Solution 1

Difference Of Two Squares

a^2 - b^2 = a^2 - b^2

so

x^2-64

=x^2 - 8^2

= (x + 8)(x - 8)

a^2 - b^2 = a^2 - b^2

so

x^2-64

=x^2 - 8^2

= (x + 8)(x - 8)

Question

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Solution 1

Use the distributive property to simplify the left side

-12 + 20x >= -6x + 9

-12 + 20x >= -6x + 9

Solution 2

In order to solve the inequality, You need to work the parenthesis, -4(3-5x)>-6x=9.

-12+20x>-6x+9

-12+26x>9

26x>21

Now divide both sides by 26, and the answer is:

Answer: x is greater than or equal to 21/26 (21 over 26)

-12+20x>-6x+9

-12+26x>9

26x>21

Now divide both sides by 26, and the answer is:

Answer: x is greater than or equal to 21/26 (21 over 26)

Question

A gumball machine contains 23 green gumballs, 52 red gumballs, 34 blue gumballs, 61 yellow gumballs, and 30 pink gumballs. What percentage of the gumballs are red?

Solution 1

So percent means parts out of 100

x%=x/100

so we jsut have to find

(red)/(total)

add 23+52+34+61+30=200

red=52

52/200

make bottom number 100

26/100=26%

answer is 26%

x%=x/100

so we jsut have to find

(red)/(total)

add 23+52+34+61+30=200

red=52

52/200

make bottom number 100

26/100=26%

answer is 26%

Question

Which of the following is an undefined term?
Angle
Circle
Plane
Ray

Solution 1

**Answer:**

Plane is an undefined plane

**Step-by-step explanation:**

Hi, there are three undefined terms in geometry: point, line, and plane.

Point: has no size, only location . It can be named with a capital letter.

Plane: a flat surface that has no thickness, that extends infinitely n every direction. Is named by a single letter or by three coplanar, but non-collinear, points.

Line: Set of points extending in either direction infinitely.

Angle, circle, and ray are not undefined terms. are not Plane.

Solution 2

I think it would be C.plane... I had this question a while ago and I think its right... plz tell me if I am wrong. Thanks.

Question

A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and base?

Solution 1

If b is the base then the height h=b+6. As we have S=bh/2 then

36=b(b+6)/2;

b²+6b-72=0;

D/4=3²+72=81

b₁=-3-9=-12

b₂=-3+9=6.

The base is always positive so b=6, h=6+6=12.

Answer: base=6 ft, height=12 ft.

36=b(b+6)/2;

b²+6b-72=0;

D/4=3²+72=81

b₁=-3-9=-12

b₂=-3+9=6.

The base is always positive so b=6, h=6+6=12.

Answer: base=6 ft, height=12 ft.

Question

Factor completely 2x^3+6x^2+2x+6

Solution 1

2x^3+6x^2+2x+6

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

= 2[x^2 (x + 3) + (x + 3)]

= 2(x^2 + 1)(x + 3)

hope it helps

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

= 2[x^2 (x + 3) + (x + 3)]

= 2(x^2 + 1)(x + 3)

hope it helps

Solution 2

F(-3) = 2*-27 + 6*9 + 2*-3 + 6 = 0

so x + 3 is a factor

dividing the function by x + 3 gives the quotient

2x^2 + 2 = 2 (x^2 + 1)

So the factors are 2(x^2 + 1)(x + 3) Answer

so x + 3 is a factor

dividing the function by x + 3 gives the quotient

2x^2 + 2 = 2 (x^2 + 1)

So the factors are 2(x^2 + 1)(x + 3) Answer

Question

A gumball machine contains 23 green gumballs, 52 red gumballs, 34343434 blue gumballs, 61 yellow gumballs, and 30 pink gumballs. What percentage of the gumballs are red?

Solution 1

So percent means parts out of 100

x%=x/100

so we jsut have to find

(red)/(total)

add 23+52+34343434+61+30=34343600

red=52

52/34343600

divide out

0.0000015141103/1

multiply by 100/100

0.00015141103/100=0.00015%

make bottom number 100

26/100=26%

answer is 26%

x%=x/100

so we jsut have to find

(red)/(total)

add 23+52+34343434+61+30=34343600

red=52

52/34343600

divide out

0.0000015141103/1

multiply by 100/100

0.00015141103/100=0.00015%

make bottom number 100

26/100=26%

answer is 26%

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