Joe is making key chains with beads. He wants each key chain to have the same number of beads. He has 90 blue beads and 72 yellow beads. What is the highest amount of key chains he can make?

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

[tex]3^{8}*3^{2}=3^{8+2}=3^{10}[/tex]

Using the multiplication/product law of exponents, you can add the exponents up.

Answer:

3^10 and the law used would be the Product Rule for exponents.

Step-by-step explanation:

turning this question into an equation you would get:

3^8 * 3^2 = ?

The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:

A^x * A^y = A^(x+y)

Applying it to this question, you get

3^8 * 3^2 = 3^(8+2)

3^(8+2) is 3^10.

Therefore the simplified expression is 3^10.

What do we know?

There are 9 black pens and 3 green pens.

What else do we know?

We know that 11 of the pens aren't black, and 5 of them aren't green.

Black pens (9) : red pens (6) : green pens (3)

How'd I get 6?

If 11 pens aren't black, they had to be green, but 5 of them weren't green. So, I subtracted 11 from 5 to get 6 red pens.

I hope that makes sense.

Final answer:

9:6:3

WARNING: I could be wrong as I'm not fully sure, but this is what I think.

Answer:

AB + BC = AC

d(B, C) = BC = |6 - 1|

Step-by-step explanation:

Given the following information :

Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 Group of answer choices The length of AB is -3

Length of line segment spans from - 6 to + 6

Location of points :

Point A = - 2

Point B = 1

Point C = 6

AB = 3

BC = 5

AC = 8

AB + BC = AC ; 3 + 5 = 8

d (B, C) = 5 = |6 - 1|

Kindly check attached picture for more explanation

Answer:

can you type the question so i can answer it, i cant see the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a right angled triangle, the side opposite to the acute angle theta given is always the opposite side of the triangle and the longest side is the hypotenuse.

Given the angle theta in a triangle to be 30 degrees and the hypotenuse to be 2 units, to ge the opposite side, we will use the trig identity SOH in SOH, CAH, TOA

Sin(theta) = Opposite/Hypotenuse

Substitute the given parameters into the expression

sin30° = Opposite/2

cross multiply

Opposite = 2 * sin30°

Opposite = 2 * 0.5

Opposite = 1 unit

Hence the length of the side of the triangle opposite to theta is 1 unit.

Answer:

7.5

Step-by-step explanation:

the radius of a circle is half of the diameter.

so: 15/2=7.5

hope that helps

Answer:

1. Angle f and s are supplementary angles, which is equal to 180, so we will: 180-35= 145

So angle f= 145 (degrees)

Angle Q= 180-49 (supplementary angles)

So angle Q= 131

I'm so sorry but I do not know the answer of Q2

I tried.

Answer:

256, 289, 324.

Step-by-step explanation:

256, square root is 16.

289, square root is 17.

324, square root is 18.

Answer:

The minimum distance each should walk to cover the same distance is 12240 cm

Step-by-step explanation:

The minimum distance each should walk so that all can cover the same distance in complete steps is the same as the Lowest Common Multiple (LCM) of the three numbers, which is the least integer that is divisible by each of the three numbers.

To find the LCM, we will first find the lowest multiples of each of the numbers

80 ⇒ (2) × 2 × 2 × 2 × (5)

85 ⇒ 17 × (5)

90 ⇒  (2) × 3 × 3 × (5)

Note: in finding LCM, the numbers common to at least 2 (in bracket), out of the three terms is written just once.

∴ LCM = 2 × 2 x 2 × 2 × 3 × 3 × 5 × 17

= 16 x 9 x 85

= 12240 cm

Therefore, the minimum distance each should walk to cover the same distance is 12240 cm

Answer:

1.324

Step-by-step explanation:

Answer:

1.324

Step-by-step explanation:

One whole and three hundredths is 1.3

Add the twenty four thousandths and you get 1.324

Hope this helps!

Answer:

I think its neither because

Step-by-step explanation:

Parallel lines and their slopes are easy. Since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel. Perpendicular lines are a bit more complicated.

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle because one is vertical and the other is horizontal.

Answer: It means the value is rational

Step-by-step explanation:

Repeating decimals can be converted to fractions and rational numbers are numbers that can be expressed as a fraction  but irrational numbers cannot be expressed as a fraction and neither does it terminate or repeat.

Answer:

x(x) or x*x

Step-by-step explanation:

To write this in the expanded form you just multiply the base(x) by itself

Answer:

Carla is 20 years old

Step-by-step explanation:

If Nancy is 11, then Nick is 15 and Carla 20. 11+15+20=46

Answer:

The probability of picking a yellow marble is 2/13

Step-by-step explanation:

First of all, we need to know the total number of marbles that are in the bag. To do this, we will have to add up all the marble colors together.

This will give us 6 + 2 +4+ 1 = 13 marbles in total.

The next step is to find the number of yellow marbles in the bag.

We can get this from the question. There are 2 yellow marbles in the bag.

The probability of selecting a yellow marble can be obtained by dividing the number of yellow marbles by the total number of marbles in the bag

This will give us 2/13.

Therefore, the probability of picking a yellow marble is 2/13

Answer:

Its A. 15x^4+13x^2y+2y^2

Answer:

1/4 is used for warehouse workers.

Step-by-step explanation:

If 1/4 is used for management and 1/2 are used for sales, together, that's only a total of 3/4 leaving 1/4 left for warehouse workers.

Hope this helps.

Answer:

15 rooms (1/4)

Step-by-step explanation:

No of rooms for the management: 60 × 1/4 = 15

No of rooms for the sales: 60 × 1/2 = 30

No of rooms for warehouse workers: Total rooms - (No of rooms for the management + No of rooms for the sales)

= 60 - (15 + 30)

= 60 - 45

= 15

The number of rooms for the warehouse workers is 15 (which is 1/4 of the total number of rooms).

Answer:  radius = 5.83 cm     height = 8.12 cm

Step-by-step explanation:

First, let's find the circumference of the 210° section of the circle.

[tex]C=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\C=2\pi(10)\bigg(\dfrac{210^o}{360^o}\bigg)\\\\\\C=\dfrac{35}{3}\pi[/tex]

The circumference of the the cone is [tex]\dfrac{35}{3}\pi[/tex] .  We can use this to find the radius .

[tex]C=2\pi r\\\\\dfrac{35}{3}\pi=2\pi r\\\\\\\dfrac{35\pi}{3\cdot 2\pi}=r\\\\\\\dfrac{35}{6}=r\\\\\\5.83=r[/tex]

When you fold the 210° section into a cone, the slant height is the original radius of 10.  We can use the radius and slant height of the cone to form a right triangle with the height.  Use the Pythagorean Theorem to find the height.

radius² + height² = slant height²

[tex]\dfrac{35}{6}^2\ +\ h^2=10^2\\\\\\.\qquad \quad h^2=10^2-\bigg(\dfrac{35}{6}\bigg)^2\\\\.\qquad \quad h=\sqrt{\dfrac{6^2(10)^2-35^2}{6^2}}\\\\\\.\qquad \quad h=\sqrt{\dfrac{2375}{36}}\\\\\\.\qquad \quad h=8.12[/tex]

Answer:

X + X + 1 + X + 2 = 72

3X + 3 = 72

3X + 3 - 3 = 72 - 3

3X = 69

3X/3 = 69/3

X = 23

Step-by-step explanation:

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side.

Answer

the next step is either 7-2 or 5 (Subtracting 2 from both sides)

solution is 20

Step-by-step explanation:

Answer:

5=p/4

Step-by-step explanation:

When you subtract 2 for both sides you are left with 5=p/4. The 2 was eliminated because 2-2=0.

Answer:

516

Step-by-step explanation:

Step 1:

258 × 2 = 516

Answer:

516

Hope This Helps :)

Answer:

Please read the explanation!

Step-by-step explanation:

Hi! I will try to do my very best with helping you. Because there is not an example that goes along with this question, I will give my own.

Lets say we have triangle ABC in quadrant II. The Points are:

A: (-5,1)

B: (-3,5)

C: (-1,1)

If we plot that than we have a triangle. And when we reflect anything, not just a triangle, we would need to basically flip it over and mirror the image. The triangle will move, but it is the same triangle as it was before. All that has happened is that is was married to the otherside.

If you are a bit confused think of when you are in front of a mirror.

So let's reflect it over the y-axis.

When in doing so, you need to make sure that the x in (x, y) is changed into a positive number. We need to make sure that we know that quadrant I has positive x-axis.

So,

A becomes (5,1)

B becomes (3,5)

C becomes (1,1)

And if you plot that it should be flipped or reflected like a mirror image.

I really hope this helped!

Answer:

b

Step-by-step explanation:

Answer: bro it’s

18.84

Step-by-step explanation:

Answer:

Binomial

Step-by-step explanation:

Edited to add:

It can also be called a binomial because there are 2 unlike terms x and y. I'm not sure what you are studying, so it may be better to go with binomial. The Quartic is when you are looking at the degree of a single term polynomial.

You can name a polynomial based on terms, or based on degrees.

If it's based on degree it would be bi-quadratic, because it's ^4 and you have 2 different terms. If you're looking at terms it would be binomial because you have x and y to solve for.

The degree of terms is a major deciding factor whether an equation is homogeneous or not. A polynomial of more that one variable is said to be homogeneous if the degree of each term is the same. For example, 2x^7+5x^5y^2-3x^4y^3+4x^2y^5 is a homogeneous polynomial of degree 7 in x and y.

You have a 4 term polynomial with 2 variables x and y. The highest degree in your equation is 5 (4 + 1 from the first term) so the degree of the multivariable polynomial expression is 6.

All these answers are correct, it just depends what you're studying. If some of these words are new, and others you recognize from class or your book, go with the one that looks familiar.

Answer: 5th degree polynomial (quintic polynomial)

====================================================

Explanation:

5x^4y is the same as 5x^4y^1. The exponents 4 and 1 sum to 4+1 = 5

The term 3x^2y, or 3x^2y^1, has the exponents add to 3

The term 4xy has the exponents add to 2

The largest sum of exponents is 5, so we have a 5th degree polynomial

This is known as a quintic polynomial

Note: the degree of the polynomial is equal to the largest sum of exponents for each term, so the degree is 5.

Answer:

10 months after the start fee

Answer:

The polynomial in standard form is [tex]y = 14 + 6\cdot x - 8\cdot x^{2}+4\cdot x^{3}[/tex].

Step-by-step explanation:

A polynomial in standard fulfills the following condition:

[tex]y = \Sigma_{i=0}^{m}\,c_{i}\cdot x^{i}[/tex], [tex]\forall\,i\in \mathbb{N}[/tex], [tex]0 \leq i \leq m[/tex]

Let be [tex]y = (4\cdot x^{3}-2\cdot x^{2}+9)-(6\cdot x^{2}-6\cdot x + 5)[/tex], which is now handled algebraically:

1) [tex](4\cdot x^{3}-2\cdot x^{2}+9)-(6\cdot x^{2}-6\cdot x + 5)[/tex] Given

2) [tex](4\cdot x^{3}-2\cdot x^{2}+9) +(-1)\cdot (6\cdot x^{2}-6\cdot x + 5)[/tex]  [tex](-1)\cdot a = -a[/tex]

3) [tex](4\cdot x^{3}-2\cdot x^{2}+9) +[(-1)\cdot (6\cdot x^{2})+(-6\cdot x)\cdot (-1)+5][/tex] Definition of substraction/Distributive property

4) [tex](4\cdot x^{3}-2\cdot x^{2}+9)+(-6\cdot x^{2}+6\cdot x + 5)[/tex]  [tex](-1)\cdot a = -a[/tex]/ [tex](-a)\cdot (-b) = a\cdot b[/tex]

5) [tex]4\cdot x^{3}+ (-2\cdot x^{2}-6\cdot x^{2})+6\cdot x + (9+5)[/tex] Associative and commutative properties

6) [tex]4\cdot x^{3}-8\cdot x^{2}+6\cdot x + 14[/tex] Distributive property/Definition of addition

7) [tex]14 + 6\cdot x -8\cdot x^{2}+4\cdot x^{3}[/tex] Commutative property/Result

The polynomial in standard form is [tex]y = 14 + 6\cdot x - 8\cdot x^{2}+4\cdot x^{3}[/tex].

Answer:

8 pencils for every 4 students

Step-by-step explanation:

Answer:

4 pencils per 2 students

explanation:

i just did it