Q10. Consider the following algorithm:
g_1 = 9

g_2 = 5
Git
For k starting at 0 and ending with 8:
gk = (k-1)*gk-1 + gk-2

What is the last term, 8, of the recursive sequence generated as a result of
executing this algorithm?

Answer:

x= -4, y=-3

Step-by-step explanation:

solving the two equations simultaneously you'll get x to be-4 and y to be -3

x+ 5y= -19

3x-y=-9

multiplying the second equation by5

15x-5y=-45

adding eqn 1 and eqn 3

16x= -64

x= -4

substituting into eqn 2

3(-4)-y= -9

-y= -9+12

-y= 3

y=-3

Answer:

9

Step-by-step explanation:

→ Write an expression for the rectangles width

x

→ Write an expression for the rectangles length

7x

→ Now write an equation for the perimeter

x + 7x + x + 7x = 144

→ Simplify

16x = 144

→ Solve

x = 9

Answer:

B

Step-by-step explanation:

x² - 8x + 97 = 0

the general form to solve such quadratic equations is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -8

c = 97

so, we get

x = (8 ± sqrt((-8)² - 4×1×97))/(2×1) =

= (8 ± sqrt(64 - 388))/2 = (8 ± sqrt(-324))/2 =

= (8 ± sqrt(324×-1))/2 = (8 ± 18×i)/2 = 4 ± 9i

Answer:

84

Step-by-step explanation:

supplementary means two angles that add to 180

180-96=84

A proportion is a comparison between two ratios.

A ratio is a proportion between two numbers.

To write a proportion, create two comparisons with two numbers and set them equal to each other.

We're given:

Write two ratios:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}[/tex]

[tex]\dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Set them equal to each other:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Answer:

Step-by-step explanation:

Equation

Cost = 0.75 * x

The answer is Cost = 0.75 * x

The x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

Here, we have,

given that,

Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3,

Midpoint of a line

The formula for calculating the midpoint of a line divided in the ratio m:n is expressed as:

M(x,y) =  (mx₂ + nx₁) / (m + n) , (my₂ + ny₁) / (m + n)

For the x-coordinate

X = (nx₁+mx₂/m+n)

let, the x-coordinate of Q = a

Substitute the given parameters

-1 = 3(-3) + 1(a) / 1+3

or, -1 = -9 + a/4

or, -4 = -9 + a

or, a = 5

Hence the x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

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Answer:

Step-by-step explanation:

it shows that the line is the same becuase it is perfectly lined up :)

Answer:

Answer:

-15 is the answer

Step-by-step explanation:

According to the BODMAS (bracket of Division Multiplication Addition Subtraction) rule

=5*10-5*13

=50-65

=-15

Answer:

1/6

Step-by-step explanation:

The sum of all writing utensils are 3+4+5 = 12,

Therefore the probability he will select a mechanical pencil is 3/12 or 1/4.

.

.

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.

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For additional info,

Probability of selecting a blue pen and black pen respectively is 4/12 or 1/3 and 5/12.

Answer:

the awnser is or I'm 4th grade

Answer:

L and B be the dimensions of field.

L+2B =2400ft.

AreaA = L×B=L×(2400-L)/2=1200L-L^2

For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft

B=(2400-600)/2=900ft.

Total area = 540000ft^2.

Maybe?

Step-by-step explanation:

Quora

Answer:

78.6

Step-by-step explanation:

Area of  circle = Pi*r^2

r=5

for pi use calculator or pi=3.142

area =Pi*r2=(3.142)*5^2=(3.142)*25=78.55 = 78.6 (1 decimal place which is same with tenth)

Answer:

m/5=15

Step-by-step explanation:

Since Jack was solving m/5 problems per day, the equation to solve this would be the one given above.

The equation that represents the situation is m = 75x.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

If Jack solved m math problems in 5 days by solving the same number of problems every day, then he solved m/5 problems per day.

Now suppose Jack was solving 15 problems per day.

We want to find out how many problems he had to solve in total, so we can set up an equation using these two pieces of information:

15x = m/5

Here, x represents the number of days Jack took to solve all the problems.

We can solve for m by multiplying both sides of the equation by 5:

75x = m

So the equation we get is:

m = 75x

Therefore, this equation relates the total number of math problems Jack had to solve (m) to the number of days he took to solve them (x), given that he solved 15 problems per day.

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Answer:

So 18+-10=8, 18+-8=10. So the answer is 8 I guess.  

Answer:

B. 27<AB<81 seems like the best option. AB got to be bigger than 27.

Step-by-step explanation:

Based on the diagram, possible lengths of side AB are 27 < AB < 81.

Triangle is a polygon in two dimensional geometry. It consists of three sides, three angles and three vertices.

The sum of all the angles inside the triangle is equal to 180 degrees.

We have the Triangle Inequality theorem which states that the third side of a triangle is always less than the sum of the lengths of the other two sides.

So the length of side AB is always less than AC + BC.

AB < AC + BC

AB < 27 + 54

AB < 81

Now from the diagram it is clear that AC is less than AB.

AC < AB

27 < AB

Combining these inequalities, we get 27 < AB < 81.

Hence all the possible lengths of side AB is 27 < AB < 81.

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answer:

4.5m²

explanation:

1. find area of the circle

A(circle)=πr²

A=π(2.3²)

A=16.62m²

2. find area of the square

the diameter of a circle is twice its radius. when you multiply 2.3 by two, you get 4.6. since the circle reaches to the sides of the square, the diameter is also the length of a side on the square.

A(square)=s²

A=4.6²

A=21.16m²

3. subtract the two areas

to find the area of the shaded sector, we need to subtract the area of the circle from the area of the square.

A(shaded)=21.16-16.62

A=4.54097487m²

(be sure to round as necessary)

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Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.

Step-by-step explanation:

Just times all the number for every question like the first one, 4×4×4=64(units)

=64ft

Same for the rest

Answer:

this is wrong

is the answer

if you like my answer please like comment and mark me as brilliant

Original side length: A'C'=5

Original angle: 37 degrees

By dilating with a scale factor over one, you are making it bigger. For this, you would multiply A'C' by 5. However, the angle doesn't change.

Resulting side length: A'C'=25

Resulting angle: 37 degrees

The correct answer is C.

Answer:

Answer:

The horizontal distance she has covered is:

x = 483.0m

Step-by-step explanation:

For further info look at this : https://brainly.com/question/9437065

Answer:

A) 6.66% B) It's a decrease

(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)

Answer:

Volume of a rectangular pyramid:

[tex]V=\dfrac13lwh[/tex]

where:

Given:

Substitute given values into the formula and solve for [tex]l[/tex]:

[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]

[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]

[tex]\implies 0.1875=0.375 l[/tex]

[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]

[tex]\implies l=0.5[/tex]

Therefore, the base length is 0.5 ft

Check the picture below.

so the area of the hexagon is really just the area of two isosceles trapezoids.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}[/tex]

Answer:

468

Step-by-step explanation:

Area of trapezoid=1/2 *h(l1+l2)

=1/2*18*(15+37)

=9*52

=468