What is a factorial and what is the purpose of it?

Answers

Answer 1

Answer:

Step-by-step explanation:

Factorial is used to multiply any natural number with all the numbers smaller than it. It is denoted by n! (n is the natural number)

where n! = n*(n-1)*(n-2)*(n-3)*(n-4) so on....

For example if we take factorial of 5.

Then,

5!= 5*(5-1)*(5-2)*(5-3)*(5-4)

= 5*4*3*2*1

= 120

It is used for the questions which asks us to order a number of things or in how many ways you can arrange something....

Answer 2

Factorial is a key function in mathematics used to calculate permutations and arrangements. It represents the number of ways objects can be arranged within a set number. Factorial is essential in combinatorics and probability theory.

Factorial is a mathematical function denoted as n! and calculated as the product of all positive integers up to n.

The purpose of factorial is to represent the number of ways in which a set of objects can be arranged or permutations can be made within a set number of objects.

Factorial is extensively used in mathematics, especially in combinatorics and probability theory.

1


Related Questions

Figure ABCD is rotated clockwise about the origin through 90°. Identify the coordinates for the given figure after 90° rotation about the origin.​

Answers

Answer:

D[3, 3], C[1, 4], B[0, 1], A[4, -1]

Step-by-step explanation:

Whenever you are doing a 90° clockwise rotation ABOUT THE ORIGIN, it is in the form of [y, -x], meaning you take the y and make it your x, then take your original x and put its OPPOSITE.

90° counterclockwise rotation → [-y, x]

90° clockwise rotation → [y, -x]

I hope this helps, and as always, I am joyous to assist anyone at any time.

ΔXYZ was dilated, then _____________, to create ΔQAG.

translated
reflected
dilated
rotated

Answers

Answer:

reflected

Step-by-step explanation:

ΔXYZ was dilated, then reflected, to create ΔQAG.

Type the correct answer in the box. Write the simplified form of -62^1/3

Answers

Answer: [tex]\sqrt[3]{-62}[/tex]

Step-by-step explanation:

It is important to remember the following:

[tex]a^{(\frac{1}{n})=\sqrt[n]{a}[/tex]

In this case we have:

[tex]-62^{\frac{1}{3}[/tex]

Then, in order to simplify it, we need to rewrite it in radical form, where the index of the root will be 3 and the radicand will be -62.

Therefore, the simplified form is this:

[tex]-62^{\frac{1}{3}}=\sqrt[3]{-62}[/tex]

Answer: -4

Step-by-step explanation: I put it in Desmos calc.

Simplify square root of 300x8/ 27x12

Answers

Answer:

10

-------------

3x^2

Step-by-step explanation:

First lets simplify what is inside the square root

300x8

---------------

27x12

3 * 100 x^8

------------------

3 *9 x^12

The 3's cancel  and we know a^b/ a^c = a^(b-c)

100/9 x^ (8-12)

100/9 x^-4

sqrt( 100/9 x^-4)

Put the negative exponent in the denominator and make it positive

sqrt( 100 / (9x^4) )

We know that sqrt( a / b) = sqrt(a) / sqrt( b)

sqrt(100)

----------------

sqrt( 9x^4)

10

-------------

3x^2


Given that sec (x) = 2 and cosec (x) is negative,
without evaluating the angle (x), find the exact value of
(i) sin(2x)
(ii) cot(x+360)
(iii)sin(x-180)​

Answers

Answer:

i) sin(2x) = [tex]-\frac{\sqrt{3}}{2}[/tex]

ii) cot(x+360) = [tex]-\frac{\sqrt{3}}{3}[/tex]

iii) sin(x-180) = [tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

sec(x) = 2

Since cos(x) is reciprocal of sec(x), this means:

cos(x) = [tex]\frac{1}{2}[/tex]

cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.

Part i)

sin(2x) can be simplified as:

sin(2x) = 2 sin(x) cos(x)

First we need to find the value of sin(x). According to Pythagorean identity:

[tex]sin^{2}(x)=1-cos^{2}(x)\\\\ sin(x)=\pm \sqrt{1-cos^{2}(x)}[/tex]

Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:

[tex]sin(x)=- \sqrt{1-cos^{2}(x)}\\\\ sin(x)=-\sqrt{1-(\frac{1}{2})^{2}}\\\\ sin(x)=-\frac{\sqrt{3}}{2}[/tex]

So,

[tex]sin(2x)=2 \times -\frac{\sqrt{3} }{2} \times \frac{1}{2}\\\\ sin(2x)=-\frac{\sqrt{3}}{2}[/tex]

Part ii)

We have to find cot(x + 360)

An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.

cot(x + 360) = cot(x)

[tex]cot(x) = \frac{cos(x)}{sin(x)}\\[/tex]

Using the values, we get:

[tex]cot(x)=\frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2} }\\\\ cot(x)=-\frac{\sqrt{3}}{3}[/tex]

Part iii)

We need to find the value of sin(x - 180)

sin(x - 180) = - sin(x)

Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.

So,

sin(x - 180) = [tex]-(-\frac{\sqrt{3}}{2}) = \frac{\sqrt{3}}{2}[/tex]

Why did I get different answers to find x?
The first one I used Soh Cah Toa and the second one I used laws of sines

Answers

[tex]\bf tan(39^o)=\cfrac{\stackrel{opposite}{x}}{\stackrel{adjacent}{8}}\implies 8\cdot tan(39^o)=x\implies 6.48\approx x \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(39^o)}{x}=\cfrac{sin(51^o)}{8}\implies \cfrac{8\cdot sin(39^o)}{sin(51^o)}=x\implies 6.48\approx x[/tex]

one thing to bear in mind is that calculators have two modes, Degree mode and Radian mode, if your calculator is in Radian mode and you plug in tan(39), it thinks "tangent of 39 radians" and so it gives that, bearing in mind that 1 radian is about 57°.

So make if you're using degrees as the angle, make sure your calculator is in Degree mode first, thus tan(39) will mean "tangent of 39 degrees".

[tex]\bf 8\cdot tan(39~rad) \approx 28.9~\hspace{10em} \cfrac{8\cdot sin(39~rad)}{sin(51~rad)}\approx 11.5[/tex]

What is the solution to 2x^2+8x=x2-16? x=4, x=-2, x=2, x=4​

Answers

Answer:

x=-4

Step-by-step explanation:

Given:

2x^2+8x=x2-16

2x^2-x^2+8x+16=0

x^2+8x+16=0

As per the formula (a+b)^2= a^2 +2ab +b^2

x^2+2(4)x+(4)^2=0

(x+4)^2=0

x+4=0

x=-4!

Answer:

x=-4

Step-by-step explanation:

Hello,

thanks for leaving your query here in brainly. I think I can help you with this

[tex]2x^{2} +8x=x^{2} -16\\organizing\ the\ terms\\2x^{2} +8x-x^{2}+16=0\\x^{2}+8x+16=0\\[/tex]

this can be factorized as

[tex]x^{2}+8x+16\\a^{2}  +2ab+b^{2}=(a+b)^{2}\\ x^{2}+8x+16=(x+4)^{2}[/tex]

hence

[tex](x+4)^{2}=0\\now, isolate\ x\\\\\sqrt[]{(x+4)^{2}} =\sqrt{0}\\ x+4=0\\x=-4\\[/tex]

I hope it helps, Have a nice day.

Charlie divided 15 cents among
four small bags.
He can use the four bags to pay any
amount between 1 cent and 15 cents, Bag without opening them.
How many cents did Charlie put in each bag?​

Answers

Answer:0.035

Step-by-step explanation:

I used a calculator and put in 15 / 4 and got 0.035

Final answer:

Charlie should divide the 15 cents into four bags with 1 cent, 2 cents, 4 cents, and 7 cents respectively. Using combinations of these bags, he can pay any amount between 1 cent and 15 cents without opening them.

Explanation:

The question asks us to figure out how Charlie can divide 15 cents among four small bags so he can use these bags to pay any amount between 1 cent and 15 cents without opening them.

To solve this, we need to think about the binary representation of numbers, because each bag can either be used or not used in each transaction, similar to how a binary '1' or '0' can represent 'on' or 'off'.

Therefore, he should put the amounts that correspond to the powers of 2 in three of the bags: 1 cent, 2 cents, and 4 cents, and in the last bag, we put the sum of these three, which is 7 cents.

This way, he can make any amount up to 15 cents:

1 cent: Use the 1-cent bag.2 cents: Use the 2-cent bag.3 cents: Use the 1-cent and 2-cent bags.4 cents: Use the 4-cent bag.5 cents: Use the 1-cent and 4-cent bags.6 cents: Use the 2-cent and 4-cent bags.7 cents: Use the 1-cent, 2-cent, and 4-cent bags.8 cents: Use the 7-cent bag.9 cents: Use the 1-cent and 7-cent bags.10 cents: Use the 2-cent and 7-cent bags.11 cents: Use the 1-cent, 2-cent, and 7-cent bags.12 cents: Use the 4-cent and 7-cent bags.13 cents: Use the 1-cent, 4-cent, and 7-cent bags.14 cents: Use the 2-cent, 4-cent, and 7-cent bags.15 cents: Use all four bags.

Find the area of the regular polygon round to the nearest tenth

Answers

bearing in mind that a diagonal line from the center of a square will give us an isosceles triangle, Check the picture below.

Answer:

The area of this polygon is 98.1 yd²

Step-by-step explanation:

Check the image below.

The diagonal line from the corner of a square to the center of this one will shape an isosceles triangle.

The Pythagoras theorem give us the following formula:

A² + A² = H²

Both "A" are the sides and H is the hypotenuse, seeing the figure, the diagonal coincide with the hypotenuse and the measure is 7 yd.

A² + A² = 72  

2A² = 49

A²= 49/2

A²= 24. 5

A=√24.5

A= 4.95 yd

Knowing that the diagonal ends up in the center of the square, we assume that the side of the triangle (“A” side) is the half of the side of the square, then this last one is 2A. Bearing in mind that square have all of the sides with the same measure, the four sides have a 2A size.

2A = 2(4.95) =9.9 yd

Each side of the square measures 9.9 yd

The area of a square is  

Side²= (2A)2²

(9.9)²= 98.1 yd²

The area of this polygon is 98.1 yd²

multiply binomails (x + 2) (3x+1)

Answers

Answer:

The answer is 3x^2+7x+2

Step-by-step explanation:

Multiply each term of the second bracket with the first bracket.

We can write:

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

By multiplying the terms we get:

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

Now simplify by combining like terms:

=3x^2+7x+2

Thus the answer is 3x^2+7x+2....

Answer:

3x² + 7x + 2

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(3x + 1) + 2(3x + 1) ← distribute both parenthesis

= 3x² + x + 6x + 2 ← collect like terms

= 3x² + 7x + 2


In the figure, ACHF = AEHD. Which statement is true by CPCTC
DH HF
FA HE
GH HD
GF HD

Answers

Answer:

DH and HF correspond.

Step-by-step explanation:

The order matters in a congruence statement.

You are given Figure GHF=Figure EHD.

I say the order matters in a congruence statement because it tells you the parts that correspond.

Angles G and E correspond because they are both first.

Angles H and H correspond because they are both second.

Angles F and D correspond because they are both third.

The same thing works with the segments.

Segments GH and EH correspond because it goes first to second for both.

Segments HF and HD correspond because it goes second to third for both.

Segments FG and DE correspond because it goes third back to first for both.

I have named all the correspond parts for you congruence statement:

Figure GHF=Figure EHD.

So let's look at the choices.

DH and HF correspond.

Answer:

DH and HF correspond.

Step-by-step explanation:

The center of rotation is illustrated by _________?

A. 90 degrees
B. Point X
C. The arc formed by the verticles​

Answers

Answer:

The correct answer option is B. Point X.

Step-by-step explanation:

We are given a graph where two triangles, a fixed point X and an arc is shown and we are to determine the center of rotation in it.

Center of rotation is basically a fixed point on a plane or a graph about which and figure rotates. It acts like a pivot in a door.

So here. we can see that point X is the center of rotation about which the vertex of a triangle is rotated 90° counterclockwise, forming an arc.

Which number sentence below matches this word problem?
George, the ginger cat, weighs 14 pounds. His pal, Igor, weighs 6 pounds.
How much more does George weigh than Igor?
A. 6* 14 = 20
OOO
O B. 84 = 14 = 6
O C. 14-6 = 8
O D. 14-8 = 6
SUBMIT

Answers

Answer:

The correct answer is option C.

Step-by-step explanation:

Weight of George = 14 pounds

Weight of Igor = 6 pounds

Difference between weight of cats :

= 14 pounds - 6 pounds = 8 pounds

This means that George is 8 pounds more in weight than Igor.

what does this graph tell you about the domain and the range of this function? Please help :)

Answers

Answer:

Step-by-step explanation:

The domain is (-5, infinity).  There's no graph for x ≤ -5.

The range is [2, infinity).

Answer:

C. The domain is [-k, ∞), and the range is [C, ∞).

Step-by-step explanation:

To be able to answer this question we first need to understand what exactly are the domain and range of a function. Domain and Range can be defined as the following,

Domain: are all the possible input values a function can recieve, displayed as the x-coordinates on a graph.

Range: are all the possible output values that a function can spit out, displayed as the y-coordinates on a graph.

With this understood, we can look at the graph and easily point out the domain and range as the following values.

Domain being [-5,∞) ..... closed bracket because the value is included

Range being [2, ∞) ..... infinity values always take an open parenthesis

Based on this information we can safely assume the answer is C. The domain is [-k, ∞), and the range is [C, ∞).

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

2 Points
What is the sum of the measures of the interior angles of a 14-sided polygon?

Answers

Answer:

2160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 14, hence

sum = 180° × 12 = 2160°

what property does the following expression demonstrate? -10+6=6+(-10)

Answers

ANSWER

Commutative property of addition.

EXPLANATION

Let a,b be real numbers. The commutative property of addition states that,

[tex]a + b = b + a[/tex]

If we let a=-10 and b=6, then

[tex]-10+6=6+(-10)[/tex]

Therefore the given expression demonstrates the commutative property of addition.

The commutative property of addition tells us that, the order in which we add two real numbers does not affect the result.

Is the following relation a function?
Tamo
Yes
No​

Answers

Do you have more information of the function?

Find the coordinates of the midpoint of a segment having the given endpoints.
Q(-0.4, 2.5), R(3.5, 1.5)
of
Select one:
0
O
a. (1.55, 2)
b. (1.05, 2.5)
C. (-1.95, 0.5)
d. (-3.9, 1)
O

Answers

Answer:

A. (1.55, 2)

Step-by-step explanation:

The formula to apply when finding the midpoint of a segment where the coordinates of the end points are given is;

[tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

where (x₁,y₁) and (x₂,y₂) are the coordinates of the end points

Given;

x₁= -0.4 ,y₁=2.5,  x₂=3.5, y₂=1.5 then applying the formula for midpoint

[tex]=(\frac{-0.4+3.5}{2} ,\frac{2.5+1.5}{2} )\\\\\\=(\frac{3.1}{2} ,\frac{4.0}{2} )\\\\\\=(1.55,2.0)[/tex]

Writing an equation of a line given its slope and y-intercept
Write an equation in slope-intercept form for the line with slope -3 and y-intercept 4.

Answers

Slope intercept form is [tex]y=mx+b \to y=-3x+4[/tex]

Answer:

y=-3x+4

Step-by-step explanation:

Slope-intercept form is y=mx+b

where m is the slope and b is the y-intercept.

m=-3 because -3 is the slope.

b=4 because 4 is the y-intercept.

Let's plug that into y=mx+b giving us y=-3x+4.

If abc~def which congruences are true by CPCTC?

Answers

Answer:

The correct options are A and B.

Step-by-step explanation:

Given information: ΔABC≅DEF

Corresponding parts of congruent triangle are congruent (CPCTC).

The corresponding angles of both triangles are congruent.

[tex]\angle A\cong \angle D[/tex]

[tex]\angle B\cong \angle E[/tex]

[tex]\angle C\cong \angle F[/tex]

The corresponding side of both triangles are congruent.

[tex]\angle AB\cong \angle DE[/tex]

[tex]\angle BC\cong \angle EF[/tex]

[tex]\angle AC\cong \angle DF[/tex]

Therefore the correct options are A and B.

The congruencies that are true are;

A. [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex], and B. ∠C ≅ ∠F

The reason the selected options are correct is given as follows;

Known parameter;

ΔABC ≅ ΔDEF (Change of ~ to ≅ based on complete question accompanying screen grab as posted online)

CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent

Required: To select the congruences that are true

Solution:

By observation, the height of ΔABC is equal to the height of ΔDEF, therefore;

[tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex]

∠C and ∠F are angles located in corresponding parts of both triangles

∴ ∠C ≅ ∠F

While the other options; ∠E and ∠C, ∠A and ∠E, [tex]\overline{AB}[/tex] and [tex]\overline{DF}[/tex], and [tex]\overline{AC}[/tex] and [tex]\overline{DE}[/tex] are not corresponding parts and they are therefore not congruent

The congruencies that are true are; A. [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex], and B. ∠C ≅ ∠F

Learn more about CPCTC here:

https://brainly.com/question/1805755

solve the inequality x +1 > 18​

Answers

Answer:

x > 17

Step-by-step explanation:

Given

x + 1 > 18 ( isolate x on the left by subtracting 1 from both sides )

x > 17

Answer:

x > 17​

Step-by-step explanation:

x +1 > 18​

Subtract 1 from each side

x +1 -1> 18-1

x > 17​

A rectangular solid object is 3 in. high, 6 in. long and 2 in. wide. What is its volume?

Answers

Answer:

The volume is 36 inches cubed.

Step-by-step explanation:

The volume of a rectangular prism is W*L*H.

You are given the H=3i, W=2 in, and L=6 in.

So now we plug into our formula for the volume of a rectangular prism which will result in 2*6*3=12*3=36.

The volume is 36 inches cubed.

Answer: [tex]36\ in^3[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be calculated with this formula:

[tex]V=lwh[/tex]

Where "l" is the lenght, "w" is the width and "h" is the height.

In this case we know that this rectangular solid is 3 inches high, 6 inches long and 2 inches wide. Then:

[tex]h=3\ in\\l=6\ in\\w=2\ in[/tex]

Then, substituting these values into the formula, we get that its volume is:

[tex]V=(6\ in)(2\ in)(3\ in)\\\\V=36\ in^3[/tex]

What is the volume of the sphere shown below? R=12

Answers

Answer:

2304

Step-by-step explanation:

The volume of the sphere is 2304π cubic units or 7238.229 cubic units if the radius is 12 units.

What is a sphere?

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]

We have a radius of the sphere R = 12 units

Volume:

[tex]\rm V = \dfrac{4}{3} \pi (12)^3[/tex]

V = 2304π cubic units or

V = 7238.229 cubic units

Thus, the volume of the sphere is 2304π cubic units or 7238.229 cubic units if the radius is 12 units.

Learn more about the sphere here:

brainly.com/question/11374994

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HELP ASAP!!! Whats the answer to the last one?

What is the average rate of change from x=10 to x=15?

Answers

Answer:

-2

Step-by-step explanation:

The rate of change is

roc = f(x2) - f(x1)

        ---------------

         x2 -x1

x2 is the last point or 15

x1 is the first point or 10

f(15) = 10 from the graph

f(10) = 20 from the graph

roc = f(15) - f(10)

        ---------------

         15-10

roc = 10 - 20

        ---------------

         15-10

roc = -10

        --------

            5

roc = -2

multiply (3x^2-2x)(2x^2+3x-1)​

Answers

Answer:

[tex]\large\boxed{(3x^2-2x)(2x^2+3x-1)==6x^4+5x^3-8x^2+2x}[/tex]

Step-by-step explanation:

Use the distributive property and [tex](a^n)(a^m=)=a^{n+m}[/tex]

[tex](3x^2-2x)(2x^2+3x-1)\\\\=(3x^2)(2x^2)+(3x^2)(3x)+(3x^2)(-1)+(-2x)(2x^2)+(-2x)(3x)+(-2x)(-1)\\\\=6x^4+9x^3-3x^2-4x^3-6x^2+2x\qquad\text{combine like terms}\\\\=6x^4+(9x^3-4x^3)+(-3x^2-5x^2)+2x\\\\=6x^4+5x^3-8x^2+2x[/tex]

multiplication of  (3x^2-2x)(2x^2+3x-1)​ is 6X⁴+5X³-9x²+2X

What are polynomials?

A polynomial expression is an expression that can be built from constants and symbols.Polynomials are algebraic expressions that comprise exponents which can be added, subtracted, or multiplied. Polynomials are of different types. Monomial- Linear equations (A monomial is a polynomial with one term)Binomia- quadratic equation (A binomial is a polynomial with two, unlike terms).

CALCULATION:-

⇒(3X²-2X)(2X²+3X-1)

⇒6X⁴+9X³-3X²-4X³-6X²+2X

6X⁴+5X³-9x²+2X  (answer)

Learn more about polynomials here:-https://brainly.com/question/2833285

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What is the surface area of the triangular prism?
4 feet
5 feet
20 feet
3 feet

Hurry plzz

Answers

Answer: 252

Step-by-step explanation:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

F(x)=2x-4
G(x)=3x+1
What is h(x)=f(x)g(x)

Answers

Answer:

h(x) = 6x² - 10x - 4

Step-by-step explanation:

f(x)g(x) = (2x - 4)(3x + 1)

Each term in the second factor is multiplied by each term in the first factor

2x(3x + 1) - 4(3x + 1) ← distribute both parenthesis

= 6x² + 2x - 12x - 4 ← collect like terms

= 6x² - 10x - 4

Final answer:

To find h(x), which is the product of f(x) and g(x), one must perform a binomial multiplication. The resulting function after simplification is h(x) = 6x² - 10x - 4.

Explanation:

The student is asking for the product of two functions, f(x) and g(x), defined as F(x)=2x-4 and G(x)=3x+1 respectively. To find the new function h(x), which is the result of multiplying f(x) and g(x) together, we use the following process:

h(x) = f(x) × g(x)

This translates into h(x) = (2x - 4)(3x + 1). We need to perform a binomial multiplication (also known as FOIL - First, Outside, Inside, Last) to combine these two expressions.

Applying binomial multiplication, we get:

First: 2x × 3x = 6x²Outside: 2x × 1 = 2xInside: -4 × 3x = -12xLast: -4 × 1 = -4

Combining these terms, we get the final expression for h(x):

h(x) = 6x² + 2x - 12x - 4

Simplifying further:

h(x) = 6x² - 10x - 4

Natasha has 13 apples.Some apples are red and some are green.She has more red apples than green apples.How many red apples and how many green apples could she have?

Answers

Final answer:

Natasha could have 9 red apples and 4 green apples, or 10 red apples and 3 green apples.

Explanation:

To determine the number of red and green apples Natasha could have, we need to consider the given information. Natasha has a total of 13 apples, and she has more red apples than green apples.

Let's assume that Natasha has r red apples and g green apples. We know that r + g = 13, since she has a total of 13 apples.

Given that she has more red apples than green apples, we can say that r > g.

Now, we need to find the possible values of r and g that satisfy these conditions. We can use trial and error to find the values that work:

If r = 9 and g = 4, then the statement r > g is true and r + g = 13 is also true. Therefore, Natasha could have 9 red apples and 4 green apples. If r = 10 and g = 3, then the statement r > g is true and r + g = 13 is also true. Therefore, Natasha could have 10 red apples and 3 green apples. If r = 11 and g = 2, then the statement r > g is true, but r + g = 13 is not true. Therefore, Natasha cannot have 11 red apples and 2 green apples.

Based on our analysis, Natasha could have either 9 red apples and 4 green apples, or 10 red apples and 3 green apples.

oH mY gAwD hElP pLeS!


The following table gives the apples eaten in a week and the times sick in the year of 10 friends:



Name, Apples Eaten per Week, Times Sick in a Year

Angela, 7 , 4

Brad, 2 , 3

Curt, 1 , 2

Dozer, 0 , 1

Enda, 7 , 0

Frank, 7 , 1

Gill, 6 , 5

Hailey, 9 , 4

Intra, 2 , 7

John, 3 , 3


explain the correlation between the apples eaten per week and the times sick per year in one or two sentences with a graph.

Answers

Answer:

There is no clear correlation between apple eaten per week and the times sick per year.

Step-by-step explanation:

The person who ate 7 apples got sick the same amount as the person who ate 0 apples did. When you graph the points, there's no clear correlation between the apples and the sick times

russin agree with other peson

Do you guys know the answer for number 3

Answers

Answer:

G

Step-by-step explanation:

It is the identity property of multiplication. For sure
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