HELPP ONBB- I just realized this is due today!!

Answer: x=13°

Step-by-step explanation: We know total amount of degrees in a triangle is 180°. We also know two of the angles' degrees: 39° and 90°. Now, with this info, we set up an equation: (3x+12)+39+90=180. We add 39 and 90 to get 129; then we subtract 129 on both sides of the equation. Our equation should now look like this: 3x+12=51. Subtract 12 on both sides to get: 3x=39. Lastly, divide 3 on both sides to find the value of x.

The nth term in the Fibonacci series is printed at the conclusion of the program.

So, until a condition is satisfied, recursions involve calling a function from within a function.

The necessary function, which uses comments to describe each line, is as follows:

//This defines the function

public static int fibonacci(int n) {

//The function returns -1, if n is negative

if(n<0){

return -1;}

//The function returns the value of n, if n is 0 or 1

if(n==0||n==1){

return n;}

//If otherwise

else{

//The function returns the nth term of the Fibonacci series

return fibonacci(n-1)+fibonacci(n-2);

}

}

Therefore, the nth term in the Fibonacci series is printed at the conclusion of the program.

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The correct question is given below:

The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the fibonacci() method, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1.

Ex: If the input is: 7

the out put is :fibonacci(7) is 13

Note: Use recursion and DO NOT use any loops. // is this mean i don't have to use loops? for (int i = 1; i<= n; ++i)

import java.util.Scanner;

public class LabProgram {

public static int fibonacci(int n) {

/* Type your code here. */

public static void main(String[] args) {

Scanner scnr = new Scanner(System.in);

int startNum;

System.out.println("Enter your number: ");

startNum = scnr.nextInt();

System.out.println("fibonnaci(" + startNum + ") is " + fibonacci(startNum));

}

}

The values of interior angle is 63°,  46°,  71°

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."

Put all the values equal to 180°,

=> (2x+5) + (x+17) + (3x-16) = 180°

Now, solve this equation and find x,

=> 6x + 22 - 16 = 180

=> 6x = 180 - 6

=> x = 174 / 6

=> x = 29°

Put x = 29° in the 2x + 5, x + 17, 3x - 16

2x + 15                |   x + 17          |   3x - 16      

2 * 29 + 15          |  29 + 17        |   3 * 29 - 16

63°                      |   46°             |   71°

Therefore, the  values of interior angle is 63°,  46°,  71°

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Using Binomial probability distribution,

X = 20, 0.15

P (X ≤ 3) =[tex]20 C_{0} (0.15)^{0} (1-0.15)^{20} + 20C_{1} (0.15)^{1} (1-0.15)^{19} + 20C_{2} (0.15)^{2} (1-0.15)^{18} + 20C_{3} (0.15)^{3} (1-0.15)^{17}[/tex]

P(X ≤ 3) = 0.648

P (X ≥ 3) = 1 - P(X ≤ 3) = 1 - 0.648

P ( X ≥ 3) = 0.352

Therefore, thee required probability is 0.352.

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The formula for q will be q = p*logm/(logK - logt)

Logarithm

A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.

Given equation:

[tex]K=tm^{(\frac{p}{q} )}[/tex]

We have to find a formula for q.

Raising the whole equation to the power of q, we get

[tex]K^q=t^qm^{p}[/tex]

We can rewrite it as,

[tex]\frac{K^q}{t^q}=m^p[/tex]

[tex](\frac{K}{t})^q=m^p[/tex]

Operating with logarithm on both sides, we get,

q*log(K/t) = p*logm

q = p*logm/log(K/t) = p*logm/(logK - logt)

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Answer:

y = √25 - x

y = -√25 - x

Step-by-step explanation:

x + y² = 25

-x                -x

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

y² = -x + 25

√y² = √-x + 25

y = √25 - x

y = -√25 - x

I hope this helps!

Answer:

5000 students

Step-by-step explanation:

Let total number of students appeared in the exams is x.

20% of x have failed in both maths and science.

Here,in maths 60% of students passed.

%ag of students failed in maths= 40%

%ag of students failed in math — % of students failed in both maths and science = students passed in science but failed in maths i.e. 40–20 = 20%.

Likewise as 70% of students passed science

So 30% failed in science.

And Students failed in science only but passed in maths= %ag of students failed in science- % of students failed in both maths and science.

i.e. 30–20= 10%.

Given 2500 number of students passed in both maths and science = 100–(students failed in both maths and science+ students failed only in maths and passed in science+ students failed only in science but passed in maths)%

= 100–(20+20+10)= 50% of students passed both.

50% of x = 2500

50x/100= 2500

=> x= 5000.

So total number of students appeared in exam is 5000 in number

Answer:

Option 1

Step-by-step explanation:

[tex]|x-2|<14 \\ \\ x-2<-14, x-2>14 \\ \\ x<-12, x>16[/tex]

Answer:

4 outfits

Step-by-step explanation:

So to find out how much he has left after all his purchases to buy new biking outfits we can add:

9.54 x 3 = 28.62

22.01 + 28.62 + 322.09 = 372.72

Now we subtract his budget by how much he has already spent:

620 - 372.72 = 247.28

He has $247.28 left for outfits so we can divide 247.28 by $61.82 (the amount per outfit) to find how many he can buy:

247.28 / 61.82 = 4

Adrian can buy 4 outfits.

The value of the limit of piece wise function is 2k.

For the given question;

The piece wise function is defined as a;

f(x) = (x² - k²)/(x - k) , x ≠ k

f(x) = 4 - k , x = k

For the value of lim (x → k⁻) f(x);

Use function for  x ≠ k, as the left hand limit of the functions is to be evaluated.

=  lim (x → k⁻) f(x)

Let x = k - h, put in the function.

=  lim (h → 0)  ((k-h)² - k²)/(k - h - k)

= lim (h → 0) h(h - 2k)/-h

=  lim (h → 0) 2k - h

Pu h = 0

= 2k

Thus, the  value of the limit of piece wise function is 2k.

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Answer:

137°

Step-by-step explanation:

Given: ∠2 = 43°

Find: ∠1 = ?

Solution:

∠1 + ∠2 = 180°

∠1 = 180° - ∠2

∠1 = 180° - 43°

∠1 = 137°

The rate at which the x-coordinate is changing is 3√3 units per second .

In the question ,

it is given that

the equation of the particle moving in the circular orbit is x²+y²=16

given the y coordinate decreases at 3units per second

So, dy/dt = -3.

to find the rate at which the x-coordinate is changing , we will differentiate the given equation.

Differentiating the equation  x²+y²=16 with respect to t , we get

d/dt(x²+y²) = d/dt(16)

2x(dx/dt) + 2y(dy/dt) = 0

2x(dx/dt) =  -2y(dy/dt)

Dividing both sides by 2 ,

we get ,

x(dx/dt) =  -y(dy/dt)

[tex]\frac{dx}{dt} =\frac{-y(\frac{dy}{dt}) }{x}[/tex]

As the particle is passing through the point (2,2√3) , So, the point will satisfy the equation.

Substituting the value of x=2 , y=2√3 and dy/dt= -3 ,

we get ,

dx/dt = ((-2√3)*(-3))/2

= (6√3)/2

= 3√3

Therefore , the rate at which the x-coordinate is changing is 3√3 units per second .

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The value of c in the equation 7c - cy = 10x will give a line with slope +5 is -2.

We can rewrite the equation as:-

-cy = 10x - 7c

y = (-10/c) x + 7

Now the equation is in slope-intercept form which is given by:-

y = mx + b

Where,

m represents the slope of the line

b represents the y-intercept of the line

(x,y) represents ordered pair of each point of the line

Comparing both the equations, we get

m = -10/c

b = 7  

We have to get m = +5

Hence, equating both the values of m, we get

5 = -10/c

c = -10/5

c = -2

Hence, the value of c is -2.

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Answer:

Step-by-step explanation:

-588

The representation of the number is 1.998 multiplied by 10^27

The expression is given as

1.998 x 10^27

The above mathematical representation is a number in scientific form and is already in its most simplified form

This means that the scientific form cannot be further simplified

However, the scientific number can be rewritten as a mathematical statement

Recall that, we have

1.998 x 10^27

The pronunciation of the above expression is:

1.998 multiplied by 10^27

And it is evaluated by

Moving the decimal point 27 places to the right.

This gives

1998000000000000000000000000

See that the above result does not have a proper representation compared to 1.998 x 10^27

Hence, the representation of the scientific number given as 1.998 x 10^27 is the 1.998 multiplied by 10^27

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The number of phone calls on the first evening is 16. The number of phone calls on the second evening is 26. The number of phone calls on the third evening is 32.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Over the last 3 evenings, Maria received a total of 74 phone calls at the call centre. The second evening, she received 10 more calls than the first evening. On the third evening, she received 2 times as many calls as the second evening.

The number of phone calls on the first evening:- x

The  number of phone calls on the second evening:- x + 10

The number of phone calls on the third evening:- 2x

x + x + 10 + 2x = 74

4x = 74 - 10

4x = 64

x = 16

The number of phone calls on the second evening:-

x + 10

16 + 10 = 26

The number of phone calls on the third evening:-

2x = 2 x 16 = 32

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Answer:

Communitave Property

Step-by-step explanation:

Hope this helps!<3°

The most appropriate choice for linear equation will be given by -

Length of the rectangle is 80 inches

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here,

Let the length of the pegboard be l inches

Width of the pegboard = [tex]\frac{1}{2}l - 8[/tex]

Perimeter =

                   [tex]2(l + \frac{1}{2}l - 8 )\\2(\frac{3l}{2} - 8)\\[/tex]

                    [tex](3l - 16)[/tex] inches

But the problem,

[tex]3l - 16 = 224\\3l = 224 +16\\3l = 240\\l = \frac{240}{3}\\[/tex]

[tex]l = 80[/tex] inches

The length of the rectangle is 80 inches.

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The Stem plot is displayed below of eighteen faculty members in a college math department range in age from 32 to 68.

How do you make a stem plot?

On the left hand side of the page, write down the thousands, hundreds or tens (all digits but the last one). These will be your stems. Draw a line to the right of these stems. On the other side of the line, write down the ones (the last digit of a number).

A Stem Plot is a chart for demonstrating the distribution of numeric variables .

It is used to analyze the shape of the distribution.

The data provided is as follows:

S = {32,48,99,40,35,69,53,47,89,96,38}

The Stem plot is displayed as follows:

3 | 2  5   8

4 | 0  7  8

5 | 3

6 | 9

8 | 9

9 | 6  9

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Answer: Is 17 a prime number? Yes, 17 is a prime number because it only has two factors, 1 and 17.

Answer:

Method 2, a monthly base salary of $1,500 with a 3% commission on sales over $7,500, will earn more money.

Step-by-step explanation:

given -

method 1 - he can choose to earn only a 10% commission on sales each month,

method 2-earn a monthly base salary of $1,500 with a 3% commission on sales over $7,500.

also, he has an average sales of $16,000 each month.

according to the question;

method 1 earning =>

10% of $16,000 =>(10/100)*$16,000=$16,00.

method 2 earning =>

$1,500+(3/100)*($16000-$7500)=$1755.

in method 2, a monthly base salary of $1,500 with a 3% commission on sales over $7,500. he will earn more.

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To find:

The midpoint of the line segment with the endpoints P1(11/2,3/8) and P2 (-7/2,5/8).

Solution:

The midpoint formula is:

Put the values:

Thus, the midpoint is (1, 1/2).

There are 28 ways in which a couple can choose the name of the baby for its name.

If we need to choose objects from two groups of x and n objects so that one object from each group is chosen, we can do so by calculating the combinations possible by:  

= ˣC₁  ×  ⁿC₁

Let 'x' be the set of first name = 7

Let 'n' be the set of second name = 4

Putting the values in formula;

= ⁷C₁ × ⁴C₁

= 7 × 4

= 28

Thus, there are 28 ways in which a couple can choose the name of the baby for its name.

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The complete question is-

A couple has narrowed down the choices of a name for their new baby to 7 first names and 4 second names.

How many different first- and second-name arrangements are possible?

Rational fraction is a fraction where a and/or b are fractions and b is not equal to 0.

Any function that can be expressed mathematically as a rational fraction—an algebraic fraction in which both the numerator and the denominator are polynomials—is referred to as a rational function. The polynomials' coefficients don't have to be rational numbers; they can be found in any field K. Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere.

Given Data

a_____________ is a fraction where a and/or b are fractions and b is not equal to 0.

A rational fraction is a fraction where a and/or b are fractions and b is not equal to 0.

Example 1. f(x) =[tex]\frac{x}{x-3}[/tex]

The denominator has only one zero, x = 3.

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Reflection and rotation preserve length , so the perimeter of ΔABC is equal to the perimeter of ΔXYZ. A possible set of values for AB, BC and AC is  7,9 and 10 units.

A rotation is a transformation that occurs when a figure is turned a preset number of degrees around a fixed point (referred to as the center of rotation).

The given figure is a triangle ABC such that it is transformed by a rotation of 90 °and reflection about y=-5.

The image thus formed will be congruent to the object and will have same sides and perimeter.

Hence the perimeter will be 26 units and the possible length of AB,BC and AC will be 7,9 and 10 units which is the only possible option as a triangle cannot have sides 2 , 14  and 10.(2+10<14)

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Answer:

2x(2x + 7)(3x - 1).

Step-by-step explanation:

12x^3 + 38x^2 - 14x

= x(12x^2 + 38x - 14)

= 2x(6x^2 + 19x - 7)

To factor the expression in the parentheses we need 2 numbers whose product is (6 * -7) = - 42 and whose sum = +19.

These are +21 and - 2.

So, we write:

6x^2 - 2x + 21x - 7

= 2x(3x - 1) + 7(3x - 1)

= (2x + 7)(3x - 1)

So, the answer is 2x(2x + 7)(3x - 1).

Answer:

[tex]2x(3x-1)(2x+7)[/tex]

Step-by-step explanation:

[tex]12x^3+3x^2-14x\\[/tex]

Factor out common factor: (2x)

[tex]=2x(6x^2+19x-7)[/tex]

Factor [tex]6x^2+19x-7[/tex]

[tex]= 2x(3x-1)(2x+7)[/tex]

Hope this helps! :) Sorry for the late reply

Answer:

6 and 9.

Step-by-step explanation:

Based on the vectors given, the sum of the vectors can be found to be (44, 4)

When given two vectors such as (15, −41) (29, 37) and you are required to add them, the sum of the vectors can be found by the formula:
= (a1 + b1, a2 + b2)

Where the vectors are:
(a1, a2) (b1, b2)

The sum of the vectors (15, −41) (29, 37) is therefore:

= (a1 + b1, a2 + b2)

= (15 + 29, -41 + 37)

= (44, -41 + 37)

= (44, 4)

In conclusion, the sum of the vectors are (44,4).

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Answer:

Step-by-step explanation: