If f(1) = 3 and f(n) = f(n - 1)2 + 5 then find the value of f(4).

[tex]2.ans \: 3 \: \div \frac{1}{8} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 \: \div 0.125 \\ \\ = 0.041[/tex]

[tex]3.ans \: 5 \: \div \frac{1}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 \: \div 0.33 \\ \\ \: \: \: \: \: \: \: \: \: 15.15[/tex]

Answer:

150

Step-by-step explanation:

h = hight

s = sides

surface = 10 x 15

surface = 150

(V = 10 x 10 x 15

(V = 100 x 15)

(V = 1500)

(Base area = B)

(B = Lenght x Width)

(B = 10 x 10)

(B = 100)

Answer:

Solve for X

Step-by-step explanation:

X = 6

Answer:

If you're trying to find x, it is [tex]\sf -6[/tex]

Divide each side by factors that do not contain the variable.

Answer:

Photo is blurred not be able to seee

Answer:

1/3

Step-by-step explanation:

the probability of the first is 6/10 or simplified 3/5

she then repeats its without putting the marble back 5/9 (as she has to remove a green marble)

to find the odds multiply 5/9 and 3/5 you get 15/45 reduced to 1/3, so the probability is 1/3

Answer:

8976 9996 2064 15201 10763 13407 12825 14454 11311

Answer:

c) 12

Step-by-step explanation:

since on the bar graph 12 occurs the most that is the mode so hope this helps!

The total budget for the student film was $1300 and $481 was spent on costumes

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the total budget for the student film.

The student spent $481 on costumes, which was 37% of their total budget, hence:

37% of x = 481

0.37x = 481

x = $1300

The total budget for the student film was $1300 and $481 was spent on costumes

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The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1

A line is the distance between two points

Given the equation of a line expressed as 10x + 2y = -2. Determine the slope

2y = -10x -2

y = -5x - 1

Slope of the line is -5

The equation of a line in point-slope form is y - y1 = m(x-x1)

Substitute the point and the slope of the parallel line

y - 12 = -5(x  - 0)
y - 12 = -5x
y = -5x + 12

Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12

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Answer:

its d

Step-by-step explanation:

i got it

Answer:

[tex]y = -\frac{1}{3}x[/tex]

Step-by-step explanation:

The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.

In this case, I will use (-3 , 1) & (0 , 0)

Use the following equation. m = slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1 , y_1) = (0 , 0)\\(x_2 , y_2) = (-3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{1 - 0}{-3 - 0} = \frac{1}{-3} = -\frac{1}{3}[/tex]

Your answer will be:

[tex]y = -\frac{1}{3}x[/tex]

Answer:

I think your answer should be 26

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

13/3 ×6/1

Applying the fractions formula for multiplication,

13/3 x 6/1

=78/3

Simplifying 78/3, the answer is

=26

I'm not positive but this is how I solved the problem:

[tex] x = \frac{b}{2a} [/tex]

for example let's say we have 2x²+4x+3

Step-by-step explanation:

4 is the co-efficient of x therefore you substitute 4 in terms of b. 2 is the co-efficient of x² therefore you substitute 2 in terms of a.

[tex] x = \frac{4}{2(2)} [/tex]you will find your x value then you will substitute x from the original formula to get your y value.

According to the results of each operation, it can be inferred that the word that is formed with the initial of each problem is TEPHRA.

To calculate the area of a rectangular prism we must use the following formula:

We can use this formula to solve several of the problems posed as shown below:

problem E

Volume = (15cm × 15cm) × 15cm

Volume = 225 × 15cm

Volume = 3,375 cm³

Problem H

Volume = (15cm × 18cm) × 12cm

Volume = 270 × 12cm

Volume = 3,240 cm³

Problem P

Volume = (7cm × 7cm) × 7cm

Volume = 49 × 7cm

Volume = 343 cm³

Problem R

Volume = (9cm × 12cm) × 8cm

Volume = 108 × 8cm

Volume = 864 cm³

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Answer:

C. 18

Step-by-step explanation:

let the length is [tex]x[/tex] [tex]m[/tex]

    So:       [tex]8x=144[/tex]

                 [tex]So:x=18[/tex]

The length of the rectangle with an equal area to the square is 18 m. The correct option is C.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The square is defined as a quadrilateral having all the sides to be equal and all the angles to be congruent.

Given that one side of square ABCD has a length of 12 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 8 meters.

The area of the square is,

Area = 12² = 144 square meters

The length of the rectangle is calculated as,

Area = 8x

144 = 8x

x= 144 / 8

x = 18 meters

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The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck will be,

Probability = (13/52) × (4/52) = 0.01923

Hence, The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.

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Answer:

a = -1

Step-by-step explanation:

first you make the x 0 and the y 0

0 = (0 - 1)^2 + a

0 = (-1)^2 + a

then you deal with the exponent

0 = 1 + a

lastly you subtract everything by 1

-1 = a

a = -1

that is your answer

Answer:

$ 2904.59

Step-by-step explanation:

For CONTINUOUS compounding    FV = PV e^it

FV = future value    PV = present value   i = decimal interest   t = years

FV = 2500 e^(.05 * 3) = 2904.59

Answer:

2x+1

Step-by-step explanation:

The fuction of g(x) is 2x

And the function of f(x) is x+1

So we plug in g(x) in f(x)

2x would be plugged in x in x+1 then we add the 1

(2x)+1

Answer: 4,5,6,7

Step-by-step explanation:

y=-2/2+5      y=0/2+5     y=2/2+5         y=4/2+5

y=-1+5          y=0+5          y=1+5              y=2+5

y=4               y=5              y=6                  y=7

(-2,4)            (0,5)             (2,6)                (4,7)

Applying the definition of the diagonals of a rhombus, the value of m is -3, and the value of c is 26.

The diagonals of a rhombus are perpendicular to each other and therefore have slopes that are negative reciprocals.

Equation of diagonal DB is, y = 1/3x + 5.

Slope (m) of DB is 1/3.

Therefore, the slope (m) of diagonal AC would be, -3.

To find the equation of diagonal AC, substitute m = -3 and (5, 11) = (a, b) into y - b = m(x - a)

y - 11 = -3(x - 5)

y - 11 = -3x + 15

y = -3x + 15 + 11

y = -3x + 26

m = -3; c = 26

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The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,

x=$80×5

x=$400

Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,

[tex]\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250[/tex]

Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

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Answer:

Right rectangular pyramid

Solve for volume

V=550cm³

Base length

10cm

w Base width

11cm

Pyramid height

15cm

Step-by-step explanation:

Hope it helps.

Answer:

1.28571

Step-by-step explanation:

is the answer

Answer:

20√3/3 or approx. 11.55 in.

Step-by-step explanation:

Draw an equilateral triangle with one height to one side.

The height divides the triangle into two congruent right triangles.

At the vertex where the height is, each angle of the small triangles is 30 deg.

The other acute angle of the right triangle measures 60 degrees.

The two right triangles are 30-60-90 right triangles.

The ratio of the lengths of the sides of a 30-60-90 right triangle is

1 : √3 : 2

The height is opposite the 60-deg angle, so it corresponds to the side with length √3 in the ratio.

The long leg measures 10.

The short leg measures 10/√3 = 10√3/3

The hypotenuse measures 20√3/3

The side of the equilateral triangle is the hypotenuse of each small right triangle.

Answer: 20√3/3 or approx. 11.55 in.

Answer:

(x ^ 16y ^ 22)

Step-by-step explanation:

For this case we have the following expression:

  (x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2

Rewriting and for power properties we have:

  (x ^ 18y ^ 24) / x ^ 2y ^ 2

  (x ^ (18-2) y ^ (24-2))

  (x ^ 16y ^ 22)