Least common multiple of 5 and 2x-5

Answer:

x=28

x=-28

Step-by-step explanation:

a. The definite integral ∫₀²f(x)dx = lw

b.  The definite integral ∫₂⁴f(x)dx = πr²/2

A definite integral is an integral evaluated on an interval.

Given the figure, to evaluate the definite integral ∫₀²f(x)dx and ∫₂⁴f(x)dx, we proceed as follows.

a.  The definite integral ∫₀²f(x)dx

Observe the graph, the integral ∫₀²f(x)dx is the area occupied by the square on the interval (0, 2).

So,  ∫₀²f(x)dx = lw

b.  The definite integral ∫₂⁴f(x)dx

Observe the graph, the integral ∫₂⁴f(x)dx is the area occupied by the circle on the interval (2, 4).

So,  ∫₂⁴f(x)dx = πr²/2

Learn more about definite integral here:

https://brainly.com/question/31166438

#SPJ1

The value of x is given as follows:

x = 2.5 cm.

Similar triangles are triangles that share these two features listed as follows:

The logic for similar triangles can be expanded for any similar polygons, as is the case for this problem.

The proportional relationship for the side lengths is given as follows:

x/5 = 4/8

Applying cross multiplication, the value of x is obtained as follows:

8x = 20

x = 2.5 cm.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer:

there is no associstaion

Step-by-step explanation:

In conclusion 1324 base 5 = 326 base 8.

To convert the number 1324 in base 5 to base 8, you can follow these steps:

Step 1: Write the given number in expanded form with powers of 5.

1324 base 5 = 1 × 5² + 3 × 5¹ + 2 × 5⁰ + 4 × 5⁻¹

Step 2: Simplify the expression to obtain the decimal equivalent.

1324 base 5 = 25 + 15 + 2 + 0.4 = 42.4

Step 3: Convert the decimal equivalent to base 8 by successive multiplication by 8.

0.4 × 8 = 3.2 (0)

0.2 × 8 = 1.6 (1)

0.6 × 8 = 4.8 (4)

0.8 × 8 = 6.4 (6)

0.4 × 8 = 3.2 (3)

0.2 × 8 = 1.6 (1)

The integer parts obtained in order give the equivalent representation of the number in base 8.

Therefore, 1324 base 5 = 42163 base 8.

learn more about integer here:

https://brainly.com/question/15276410

complete question:

How can I convert the number 1324 in base 5 to its equivalent representation in base 8?

The value of x rounded to 1 decimal place is 15.9 cm.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

First of all, we would determine length of sides or side lengths of the opposite side of the ight-angled triangle as follows;

12.5² + y² = 19.5²

156.25 + y² = 380.25

y² = 224 cm.

y = √224 cm

Now, we can determine value of x;

x² = (√224)² + (5.5)²

x² = 224 + 30.25

x = 15.9 cm.

Read more on Pythagorean theorem here: brainly.com/question/15430861

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The value of x in the triangle is 7 units.

The triangle has three sides. Let's find the value of x in the triangle as follows:

x + 12  - 15 = 4

Therefore,

x  - 3 = 4

add 3 to both sides of the equation

x  - 3 = 4

x  - 3 + 3 = 4 + 3

x = 7 units

Therefore, the value of x in the triangle is 7 units.

learn more on triangle here: https://brainly.com/question/14926756

#SPJ1

The real answer is 29.8x14.2= 410.38m, so it differs by 4.38m squared

It is fair to assume that the spinner will land on an odd number 160 times.

The likelihood of landing on any one of the eight congruent portions of the spinner is 1/8. This information allows us to reasonably forecast the frequency with which the spinner will fall on an odd number.

The likelihood of landing on an odd number is 4/8 or 1/2 since the spinner has four odd numbers (1, 3, 5, and 7) and four even numbers (2, 4, 6, and 8). Thus, we may anticipate that the spinner will land on an odd number on average 50% of the time.

If the spinner is spun 320 times, we would expect it to land on an odd number about half of those times, or approximately:

(1/2) x 320 = 160

Therefore, the probability that the spinner will fall on an odd number 160 times is fair.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

A reasonable prediction for the number of times the spinner will land on an odd number is 160.

We have,

Since the spinner has eight congruent sections, each odd number (1, 3, 5, and 7) appears once on the spinner, and there are a total of four odd numbers.

Since the spinner is spun 320 times, we can expect each section of the spinner to be landed on equally, on average.

Therefore, the expected number of times the spinner will land on any one section is 320/8 = 40.

Since each odd number appears once on the spinner, we can expect the spinner to land on an odd number 4 times in every 8 spins, or once in every 2 spins.

Therefore, the expected number of times the spinner will land on an odd number in 320 spins is approximately 320/2 = 160.

Thus,

A reasonable prediction for the number of times the spinner will land on an odd number is 160.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

We know that,

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

a_n = a_1 + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

The major distinction between recursive and explicit formulas is that a recursive formula returns the value of a particular term depending on the preceding term, whereas an explicit formula returns the value of a given term based on its location.

When the value of the first term and the common difference is known then an explicit formula is used, while the recursive formula will be used when the value of the previous value is known and the value of the common difference is known.

Learn more about Arithmetic Sequence:

brainly.com/question/3702506

#SPJ1

complete question:

what is the difference between the explicit formula and recursive formula for sequences when would you use one over the other​

Answer:10

Step-by-step explanation:

Answer:

4.47214

Step-by-step explanation:

The measure of the angle m∠3 of the triangle is m∠3 = 150°

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the angles are

m∠1 = ( 3x + 12 )°

m∠2 = ( 3x + 18 )°

m∠3 = ( 7x + 10 )°

m∠3 = 180° - ( m∠1  + m∠2 )

Now , for a triangle , the total angles = 180°

So , m∠1 + m∠2 = m∠3

On simplifying , we get

( 3x + 12 ) + ( 3x + 18 ) = ( 7x + 10 )

6x + 30 = 7x + 10

Subtracting 6x on both sides , we get

x + 10 = 30

Subtracting 10 on both sides , we get

x = 20

m∠3 = 150°

Hence , the measure of m∠3 = 150°

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1

The complete question is attached below :

In the figure, m<1 = (3x + 12) degrees, m<2 = (3x + 18) degrees and m<3 = (7x + 10) degrees. What is m<3 in degrees?

The coordinates of the new point  is (-6, -2)

From the question, we have the following parameters that can be used in our computation:

Point = (6, 2)

Rule: 180 degrees rotation

The rule of 180 degrees rotation is

(x, y) = (-x -y)

Substitute the known values in the above equation, so, we have the following representation

image = (-6, -2)

Hence, the image is (-6, -2)

Read more abotu transformation at

brainly.com/question/27224272

#SPJ1

James Abbott McNeill Whistler's Nocturne in Black and Gold: The Falling Rocket (c. 1875) is an example of "art-for-art's sake" of the Aesthetic movement is: B. Aesthetic.

The art for art's sake movement which began to form in the late 19th century as a response against the utilitarian and moralistic attitude to art that had predominated in previous centuries is exemplified by The Falling Rocket.

The movement emphasized the value of art as a self sufficient and independent field, free from politics, religion and other outside influences.

Therefore the correct option is B.

Learn more about The Falling Rocket here:https://brainly.com/question/30883541

#SPJ1

Arcs get their angle measure from the central angle they're in, in this case the central angle of 86°, central to arcED, has a counterpart of a twin vertical angle across the center, since both vertical angles are identical twins that means the central angle for arcAB is 86° also, and that's the arcAB's measure too.

Step-by-step explanation:

This is a composit figure of a 20 x 30 m rectangle and a circle of radius 10m

area of rectangle + area of circle = total area

     l x w                +     pi r^2           = total

       20 x 30         + pi (10^2)   = 914.2 m^2

Answer:

  (a) ∠7 = 47°. Angles 5 and 7 are vertical angles, hence congruent.

  (b) 47 +(2x -5) = 180

  (c) 69

Step-by-step explanation:

Given angles identified as ∠5, ∠6, ∠7 where two lines cross, and the measure of ∠5 as 47°, you want the measure of ∠7, and an equation and solution when ∠6 is (2x-5).

Angles that share a vertex and are formed from opposite rays are "vertical angles." They are congruent.

Angles 5 and 7 are vertical angles, so the measure of angle 7 is the same as the measure of angle 5.

  ∠7 = 47°

Angles that form a linear pair are supplementary. This means the sum of angles 5 and 6 is 180°.

  ∠5 +∠6 = 180°

  47° +(2x -5)° = 180°

  2x = 138 . . . . . . . . . . . . divide by °, subtract 42

  x = 69

Answer:  x=3   <W=27

Step-by-step explanation:

<Y is half of the arc XW

<Y=78/2 =39

The sum of all the angles in a triangle is 180

so add all angles ang make =180

114+39+7x+6=180          Simplify

159+7x=180                   Subtract 159 from both sides

7x=21                              Divide 7 to both sides

x=3

plug back in x to find <W

<W=7(3)+6

=21+6

27

Answer:

20

Step-by-step explanation:

2L + 2W = P :))

The total interest paid is $58.52.

We are given that;

P = 800

r = 0.015

n = 18

Now,

We can plug in the values given in question:

EMI = 800 x 0.015 x (1+0.015) ^ 18 / { (1+0.015) ^ 18-1}

EMI = 47.64

This means that your monthly payments are $47.64.

To find the total interest paid, we can multiply the EMI by the number of months and subtract the loan amount12:

Total interest paid = EMI x n - P

Total interest paid = 47.64 x 18 - 800

Total interest paid = 58.52

Therefore, by the given interest the answer will be $58.52.

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ1

The height of the image after the dilation with scale factor of 6 is given by the relation H = 54 mm

Given data ,

Let the image be an image of a panda to create a custom shirt

Now , original image is 9mm tall and 16mm wide

Let the dilation scale factor of enlargement be k = 6

So , the new image is 6 ( 9mm tall and 16mm wide )

On simplifying the equation , we get

The new image is 54 mm tall and 96 mm wide

Hence , the height of the image is 54 mm

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ1

The equation for the scenario of the work load doubling every period would be Assignments due = 3 x 2^(number of periods)

The assignments due would be:

Assignments start at 3 assignments and then double per period so the best equation is:

Assignments due = 3 x 2^(number of periods)

After 1 period:

Assignments due = 3 x 2^(number of periods)

= 3 x 2

= 6 assignments

After 4 periods:

= 4 x 2⁴

= 48 assignments

After 8 periods:

= 4 x 2 ⁸

= 768 assignments

Find out more on equations at https://brainly.com/question/13372188

#SPJ1

The amount paid by the major medical policy is $3,046.40.

First, we need to calculate the covered expenses before the coinsurance feature comes into play. Since Olga's major medical policy did not cover $312 of the bill, the covered expenses will be:

Covered expenses = Total bill - Amount not covered

Covered expenses = $4,620 - $312

Covered expenses = $4,308

Next, we need to calculate the amount of the covered expenses that is subject to the coinsurance feature. Since Olga's policy has a $500 deductible, the covered expenses subject to coinsurance will be:

Covered expenses subject to coinsurance = Covered expenses - Deductible

Covered expenses subject to coinsurance = $4,308 - $500

Covered expenses subject to coinsurance = $3,808

The coinsurance feature pays 80% of the covered expenses subject to coinsurance, so the amount paid by the major medical policy will be:

Amount paid = Coinsurance rate x Covered expenses subject to coinsurance

Amount paid = 0.8 x $3,808

Amount paid = $3,046.40

Therefore, the amount paid by the major medical policy is $3,046.40.

Learn more about Expense here:

https://brainly.com/question/30342989

#SPJ1

Answer:

9w - 35

Step-by-step explanation:

-3(w + 5) + 4(3w - 5)

(Use the distributive property to multiply -3 by w + 5.)

-3w - 15 + 4(3w - 5)

(Use the distributive property to multiply 4 by 3w - 5)

-3w - 15 + 12w - 20

(Combine -3w and 12w to get 9w.)

Subtract 20 from -15 to get -35.

9w - 35.

Answer:

Step-by-step explanation:

[tex]\mathrm{-3(w+5)+4(3w-5) }[/tex]

Expand (Apply the distributive property) :-

[tex]\mathrm{-3w-15+12w-20}[/tex]

Combine like terms:-

[tex]\mathrm{-3w+12w=\bf 9w}[/tex]

[tex]\matherm{-15-20=\bf-35}[/tex]

[tex]\mathrm{9w-35}[/tex]

______________________

Hope this helps!

The standard form of the equation of the hyperbola is

[(y + 6)²/4] - [(x - 3)²/16] = 1.08

We have,

To find the standard form of the equation of a hyperbola, we need to know the locations of the vertices and the foci.

In this case, we are given the coordinates of the vertices, but we need to find the foci. However, we are also given that the hyperbola passes through the point (7, −12), which will allow us to find the foci.

First, let's find the center of the hyperbola.

Since the vertices have the same x-coordinate of 3, the center must be the point (3, −6), which is the midpoint of the two vertices.

Next, we can find the distance between the center and one of the vertices. Using the distance formula, we get:

d = √[(3 - 3)² + (-8 - (-6))²] = 2

Since the vertices are vertically aligned, we know that the distance from the center to each vertex is the same.

Therefore, the distance from the center to each vertex is also 2.

We can now use the Pythagorean theorem to find the distance from the center to each focus, which we will call c.

We know that c² = a² + b², where a is half the distance between the vertices (in this case, a = 2), and b is half the distance between the foci.

We want to solve for b.

Since the hyperbola passes through the point (7, −12), we know that the distance from this point to each focus is constant and equal to the distance from this point to the center of the hyperbola.

Using the distance formula, we can set up the following equation:

√[(7 - 3)² + (-12 - (-6))²] = sqrt[(7 - 3)^²+ (-12 - (-8))²] + b

Simplifying this equation, we get:

2 √(37) = 2 √(20) + b

b = √(37) - √(20)

Now that we have the values of a and b, we can write the standard form of the equation of the hyperbola:

[(y + 6)²/4] - [(x - 3)²/16] = 1 + [(√(37) - √(20))²/16]

Simplifying, we get:

[(y + 6)²/4] - [(x - 3)²/16] = 1.08

Therefore,

The standard form of the equation of the hyperbola is

[(y + 6)²/4] - [(x - 3)²/16] = 1.08

Learn more about hyperbola here:

https://brainly.com/question/28989785

#SPJ1

The time will take the car to reach it's destination is 0.005 hours

The first step is to convert 528 feet to miles

1 foot= 0.000189394 miles

528= x

cross multiply

= 528 × 0.000189394

= 0.1

Time= distance/speed

distance= 0.1 miles

speed= 20

Time= 0.1/20

= 0.005 hours

Hence it will take the car 0.005 hours to reach its destination

Read more on hours here

https://brainly.com/question/12447748

#SPJ1

The surface area of the figure in this problem is given as follows:

S = 48m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The figure in this problem is composed as follows:

Hence the surface area of the figure is given as follows:

S = 2 x (2 x 2 + 2 x 4 + 2 x 4) + 4 x 1/2 x 2 x 2

S = 48m².

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/1310421

#SPJ1