When an even number is added to the product of two odd numbers, the result will be even. A counterexample is 2x3+?=?

The base case in a recursive solution to the problem of finding the factorial of a number is n = 0 .

Given :

the base case in a recursive solution to the problem of finding the factorial of a number. recall that the factorial of a non-negative whole number is defined as n! .

Base case :

The base case is the condition to stop the recursion. The recursive case is the part where the function calls on itself .

we know that ,

def func ( n ) :

     if   n == 0 :

return 1

Here the base case is clearly n = 0

Learn more about the solution here:

https://brainly.com/question/17429689

#SPJ4

There are four possible  values of C if there exist distinct complex numbers.

A complex number is an element of a number system that extends the real numbers with a specific element denoted i is called the imaginary unit . the equation every complex number can be expressed as,

             a + bi

where a and b are real numbers.

Let p(z) denote the cubic on the left-hand side; the right-hand side is then c3p(z/c). Write p(z)=z3+Az2+Bz+C so

z3 + Az2 + Bz + C ≡  z3+ cAz2 + c2Bz + c3C

⟹ (c−1)A =  (c2−1)B = (c3−1)C = 0.

Solving this we can find the possible values of C.

A real number can be said as a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature. continuous means that values can have arbitrarily small variations. Every real number can be almost uniquely represented by an infinite decimal expansion.

To learn more about Complex numbers please visit:

https://brainly.com/question/10662770

#SPJ4

Question is incomplete. The complete question is:

Let c be a complex number. Suppose there exist distinct complex numbers r, s, and t such that for every complex number z, we have

    (z−r) (z−s) (z−t) = (z−c r) (z−c s) (z−c t).

Compute the number of distinct possible values of c.

The value of inverse trigonometric function  θ = sin-1(-.5) is 30°

What is an inverse trigonometric function?

The inverse trigonometric functions perform the opposite operation of the trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. We know that trigonometric functions are especially applicable to the right angle triangle.

Here, the given inverse trigonometric function is  θ = sin⁻¹(0.5)  

Now solving the given inverse trigonometric function by consider 0.5 value in terms of sine that is :

0.5 = sine (30°)

Now, substituting back this value in place of 0.5 and solve for θ :

θ = sin⁻¹(0.5)  

θ = sin⁻¹(sin(30°))  

Now the inverse of sinθ is θ itself

θ = 30°

Therefore, The value of inverse trigonometric function  θ = sin-1(-.5) is 30°.

Learn more about inverse trigonometric function visit:

https://brainly.com/question/1143565

#SPJ1

Answer:

it ius literally 2

Step-by-step explanation:

Answer:

21!

Step-by-step explanation: JK If you are fr 2

Answer:

Your answer will be B. A town's population grows at a rate of 7.2% every year.

Step-by-step explanation:

Pls give me brainliest thx

The answer is √7.

What is Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Step-by-step explanation:

Using the pythagorean theorem, we know that

     a^2 + b^2 = c^2

In this case,

c = 4, which means that a^2 + b^2 = 16

Since we know that a = 3, this means that a^2 is also 9. So, we know that b^2 = 16-9

Therefore, b^2 = 7

So, the answer is √7.

To know more about Pythagorean theorem visit,

https://brainly.com/question/343682

#SPJ1

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

The equation of the line that is perpendicular to line y = -x + 5 and that passes through point (x, y) = (2, 4) is y = x + 2.

Algebraically speaking, lines are described by equations of the form:

y = m · x + b

Where:

Besides, the relationship between two perpendicular lines is now described:

m · m' = - 1

Where:

Now we determine the equation of the perpendicular line. First, find the slope of the original line:

y = - x + 5

m = - 1

Second, calculate the slope of the perpendicular line:

m' = - 1 / m

m' = - 1 / (- 1)

m = 1

Third, determine the intercept of the perpendicular line:

b' = y - m' · x

(x, y) = (2, 4), m' = 1

b' = 4 - (1) · 2

b' = 4 - 2

b' = 2

Fourth, write the equation of the perpendicular line:

y = x + 2

To learn more on perpendicular lines: https://brainly.com/question/29206001

#SPJ1

Answer:

2/6 or 1/3

Step-by-step explanation:

To find probability, we have to look at the favorable outcome (the outcome we're looking for - in this case, rolling greater than a 4) divided by the total outcomes (the total possible outcomes - in this case, 6).

There are 6 sides on a dice, as laid out in the question. How many numbers on a dice are greater than 4? Well, 5 and 6, of course. These are only two sides of the dice, so our probability would be 2/6, or simplified, 1/3, and that's our answer.

If you'd like a more in-depth explanation, please let me know and I'd be happy to help. :)

The inequalities are given below.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: 4 statements and we are required to find the required inequality.

7) 4+6+3=13 & 7+6=13

Thus 4+6+3=13 =7+6=13

8) (r+s)+(t+u)=(u+r)+(t+s)

9)35+(11+8)=54

   8+30+11=49

Thus 35+(11+8)>  8+30+11=49

10) 6+h+20=26+h & 21+6+h=27+h

∴26+h<27+h

Learn more about BODMAS rule here:

https://brainly.com/question/29795897

#SPJ1

Answer:

I think answer is D but it could be wrong not sure

The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

To learn more about Parallel lines refer to :

brainly.com/question/16701300

#SPJ1

Answer:

400 cm

Step-by-step explanation:

Given that:

Initial height at which ball was dropped = 100m

Rebound heights to the nearest cm = 60, 36, 22...

First we find the rebound percentage x;

x% * 100m = 60

100x % = 60

x = 60%

Hemce, we need to calculate the rebound velocities which aren't given:

0.6 * 22 = 13.2 = 13cm

0.6 * 13 = 7.8 = 8cm

0.6 * 8 = 4.8 = 5cm

0.6 * 5 = 3cm

0. 6 * 3 = 1.8 = 2 cm

0.6 * 2 = 1.2 = 1cm

The total distance the ball travels UP and DOWN :

(100 + 2(60) + 2(36) + 2(22) + 2(13) + 2(8) + 2(5) + 2(3) + 2(2) + 2(1))

= 400 cm

Answer:

1) -3/2

Step-by-step explanation:

The common ratio is the amount you multiply by to get to the next number in the sequence. To calculate this you will need to divide the term by its preceding term.

For example (3/4) / (-1/2)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (3/4) x (-2/1) = -3/2

Check this by doing the next term (-9/8) / (3/4)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (-9/8) x (4/3) = -3/2

Answer:

1/7 and 1/2

Step-by-step explanation:

The probability of orange marble is 1/7

Probability of tails is 1/2

If you need to add this, then it'll be 1/14

7 x 2 = 14

1 x 1 = 1

Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

I think it would be c

Answer:

C: either the mean or the median

Answer:

1. 12 days

2. more than 200 miles

3. 11 lawns

4. at least 9 hours (about 9.92 hours)

Step-by-step explanation:

1. 20x < 254, so x < 12.7. We need an integer here, so x = 12 days.

2.

\(70 + .15x < 50 + .25x\)

\(20 < .10x\)

\(200 < x\)

\(x > 200\)

3. 65x > 699, so x > 10.8. Since fractions of lawns are not accepted here, Mark must mow at least 11 lawns.

4. Assuming that the speed stays constant, 65x = 645, so x = 9.92 hours. The trip will take at least 9 hours, actually close to 10 hours.

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

Answer:

N = 5

Step-by-step explanation:

6 (2n - 8) = 12

12n - 48 = 12

12n = 60

n = 5

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

5 = n (i think)

Step-by-step explanation:

6(2(5)- 8) = 12

6(10 - 8)= 12

6 (2) = 12

I don't know how to represent it on a nomberline

I

Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

12/14 reduces to 6/7 is what is completed 1/7 is left

Answer:

About 75.36

Step-by-step explanation:

C = πd or 2πr, we'll use 2πr

2 x π x 12 = 24 x π = 24 x 3.14 = 75.36

Hope this helps :D

Answer: 67,892

Step-by-step explanation:

Who's your favorite dragon ball character

Answer:

c. the time it takes for the hoses working together to fill the pool

Step-by-step explanation:

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

x³ - 2x² + x = 0

x(x² - 2x + 1) = 0

x(x - 1)² = 0

x = 0 or x - 1 = 0

x = 0 or x = 1