Find a formula for RN for the function f(x) = (5x)² on [-1, 5] in terms of N.

Could you please show the work? I was able to get the area but can't exactly figure out what they want for the formula.

Compute the area under the graph as a limit.

lim RN=1050

Answer:

sq root of 21=7

Step-by-step explanation:

we need to use Pythagoras theorem

so distance(isa-jul)^2 +distance(ele-jul)^2= distance(isa-ele)^2

now just do the square root and there you go.

Answer:

Step-by-step explanation:

Triangle JKL is a 51-51-78 triangle, since the angles in a triangle must add up to 180°. Since triangle PQR is similar to triangle JKL, it must also be a 51-51-78 triangle. Since corresponding sides in similar figures are in proportion, we can set up a proportion to find the length of PR:

(PR)/(JK) = (PQ)/(JL) = (36)/(18)

Cross multiplying and solving for PR, we find:

PR = (JK) * (PQ)/(JL) = 18 * 36/18 = 36

The quartic equation y = x⁴ - x³ - 5 · x² - x - 6 has x = - 2 and x = 3 as its only real zeros. (Correct choice: C)

Quartic equations are polynomials of grade 4, whose standard form is described below:

y = a · x⁴ + b · x³ + c · x² + d · x + e

Where a, b, c, d, e are real coefficients. A value of x is a zero of a polynomial when the result is equal to zero. The quickest way to find the polynomial is by evaluating each expression at x = - 2 and x = 3:

x = - 2

y = (- 2)⁴ - (- 2)³ - 5 · (- 2)² - (- 2) - 6

y = 16 + 8 - 20 + 2 - 6

y = 0

x = 3

y = 3⁴ - 3³ - 5 · 3² - 3 - 6

y = 81 - 27 - 45 - 3 - 6

y = 0

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Answer:

54.4

Step-by-step explanation:

g(20) = 19.6 + 1.74 (20)

g(20) = 19.6 + 34.8

g(20) = 54.4

Answer:

The probability mass function :

P(X1 = 1, X2 = 1) = 5/13 * 4/12 = 5/39

P(X1 = 1, X2 = 0) = 5/13 * 8/12 = 10/39

P(X1 = 0, X2 = 1) = 8/13 * 5/12 = 10/39

P(X1 = 0, X2 = 0) = 8/13 * 7/12 = 14/39

Step-by-step explanation:

Given :

Number of white balls = 5

Number of red balls = 8

Total number of balls = (5 + 8) = 13

P(X1 = 1, X2 = 1) = 5/13 * 4/12 = (5/13 * 1/3) = 5/39

P(X1 = 1, X2 = 0) = 5/13 * 8/12 = (5/13 * 2/3) =10/39

P(X1 = 0, X2 = 1) = 8/13 * 5/12 = (2/13 * 5/3) =10/39

P(X1 = 0, X2 = 0) = 8/13 * 7/12 =(2/13 * 7/3) = 14/39

Answer:

$4.37 is a possibility to the answer

Answer:

they ate 6 pizza

Step-by-step explanation:

༼ つ ◕‿◕ ༽つ

Volume of pyramid:

= ⅓ × l × w × h

= ⅓ × 9 × 9 × 7

= 3 × 63

= 189 ft³

The solution to the above math arithmetic is 5115.

Finding the sum and difference of two integers are the two main addition and subtraction arithmetic procedures. They are both the other's polar opposite. An ordered group of integers with a shared difference between each word is known as an arithmetic sequence. The common difference, for instance, between the mathematical series 3, 9, 15, 21, and 27 is 6.

This grouping contains percent difficulties, decimal recognition, addition, subtraction, multiplication, and division as well as fraction and percent equivalences and estimate issues.

For instance, 5 + 6 = 11 and 11 - 6 = 5.

5x35 + 65x76=5115

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Answer:

30 meters squared

Step-by-step explanation:

First of all, we need to split the shape into different shapes. In this case, two triangles and a rectangle. We know that the triangle on the left has a height of 3 meters, and a width of 3 meters, and the formula for the area of a triangle is:

(b*h)/2 = A

So, we can plug in the values:

(4*3)/2 = A

Then, solve.

12/2 = A

6 = A

So, the triangle on the left is 6 meters squared. There is another copy of that triangle, so that means that both of the triangles combined is:

6*2 = 12 meters squared

Lastly, we need to find out the middle rectangle, which is 6 meters by 3 meters. The area of a rectangle is:

L*W = A

Plug the values...

6*3 = 18 square meters

So, the rectangle is 18 meters squared.

Our last step is to add the area for all the shapes. That would be:

12 + 18 = 30 meters squared.

Therefore, the area of this shape is 30 meters squared. Hope this helps!

Answer:

157 cm^2

Step-by-step explanation:

1) find the radius

radius = side of the square /2 = 10 /2 = 5 cm

2) notice that four semicircles are equals  to two circles

3) find the area of the shaded region

A = radius^2 x pi x 2 = 5^2 x pi x 2 = 157 cm^2  (round the nearest whole number)

Answer:

Step-by-step explanation:

Answer:

It's (E) ..................

Answer:

E

Step-by-step explanation:

Answer:

dddd

Step-by-step explanation:

Answer:

see image below

Step-by-step explanation:

Answer:

105.72 meters

Step-by-step explanation:

We can set up a system of equations to represent the information given in the problem, and then use algebra to solve for the length of the blue rope. Let x be the length of the red rope.

According to the problem statement:

blue rope = 3 * red rope = 3x

green rope = 4 * blue rope = 4 * 3x = 12x

we know that:

red rope + blue rope + green rope = 563.84

x + 3x + 12x = 563.84

then we can solve for x:

16x = 563.84

x = 35.24

So the length of the red rope is 35.24 meters.

The length of the blue rope is 3x = 3 * 35.24 = 105.72 meters.

The domain and range of the absolute value function are the ones in the first option.

Here we have the absolute value function:

f(x) = |x - 3| + 6

The domain for all absolute value functions is the set of all real numbers, as there are no input that generates a problem with the function.

And the range, the set of the inputs, has a minimum at the vertex.

Remember that if the vertex is (h, k), then we can write the function as:

f(x) = |x - h| + k

Then in this case:

f(x) = |x - 3| + 6

The vertex is at (3, 6)

Then the range is the set of all real values equal to or larger than 6, or:

y ≥ 6

Then the correct option is the first one:

Domain: {x|x is all real numbers}

Range: {yly ≥ 6}

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The area of the trapezoid is 1.5x² + 2x. If the height is increased by 4 feet, the new area would be 1.5x² + 8x

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

Let x represent the height of the trapezoid.

a) One base of trapezoid measures five feet greater than its height. Hence:

First base = x + 5

The other base is one foot less than twice its height, hence:

Second base = 2x - 1

Area = (1/2)(sum of bases) * height = (1/2)(x + 5 + 2x - 1)(x) = 1.5x² + 2x

b) The height is increased by 4 feet. New height = x + 4

First base = (x + 4) + 5 = x + 9

Second base = 2(x + 4) - 1 = 2x + 7

Area = (1/2)(sum of bases) * height = (1/2)(x + 9 + 2x + 7)(x) = 1.5x² + 8x

The area of the trapezoid is 1.5x² + 2x.

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Answer:

1 3/4

Step-by-step explanation:

[tex]4\frac{1}{4}- 2\frac{2}{4} \\\\17/4 - 10/4\\7/4\\1 3/4[/tex]

Answer:

Converting from Mixed numbers to Fraction

4¹/4 = 17/4

2²/4 = 10/4

17/4 – 10/4

= 7/4

You can also change this answer into Mixed Number

it'll be 1 3/4 (One whole number, three over four)

Answer:

No solution exists. Hope that helps sorry it took me long I was typing alot as you can see bye and have a great day!

Step-by-step explanation:

1. Break down the problem into these 2 equations 2x+3=-5 -(2x+3)=-5

2. Solve the 1st equation : 2x+3=-5  Subtract 3 from both side 2x=-5-3 =-8 divides both sides by 2 x= -8/2 which give you x=-4 Now solve the 2nd equation : -(2x+3)=-5  Remove parentheses -2x-3=-5 add 3 to both sides  -2x=-5+3=-2 Divide both sides by -2x=-2 which would give you x=1

When x=-4x, the original equation ∣2x+3∣=−5 does not hold true.

We will drop x=-4x from the solution set.

When x=1, the original equation |2x+3|=-5 does not hold true.

We will drop x=1, from the solution set. So, No solution would be your answer.

Answer: I think it’s skewed right

Step-by-step explanation:

Step-by-step explanation:

think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.

Answer:

The radius of the sphere is 12 inches.​

Step-by-step explanation:

V = 4/3 · pi · r³

r³ = 1728

r = 12

Answer:

4 x 8.5 x 12.5 =425 (multiple hight x width x length)

The volume of the box is [tex]425in^{3}[/tex]

Answer:

= 18√2

decimal =25.45584412

The correct statement regarding the linear function passing through the coordinates (2, 1), (3,3), (5,7), (6,9) is given as follows:

A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

A linear function represents a proportional relationship if it has an intercept of zero.

For the points in this problem, when x increases by one, y increases by two, hence the slope is given as follows:

m = 2/1 = 2.

Hence:

y = 2x + b.

When x = 2, y = 1, hence the intercept b is given as follows:

1 = 2 + b

b = -1.

As the intercept is different of zero, this is not a proportional relationship, and option A is correct.

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Answer:

Step-by-step explanation:

Dolls:240 Teddy Bears:120

120:240

Please Describe the fraction If Possible.