Pythagorean thereom

Answer:

68

Step-by-step explanation:

16 + ((15 + 5) + 32)

= 16 + (20+32)

= 16 + 52

= 68

* Use BODMAS to solve the sum

Answer:

The ratio test formula is a infinite series which is based on calculating the ratio an+1/an a n + 1

how to solve a ratio: first add all the parts of a ratio together to find the total number. For example, if you have to split 20 sweets into a ratio of 3:1, you add the ratio figures up to find the total. In this case, that's 3 + 1 = 4

For series ∑a_n, the ratio test with limits is - \($$L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_n}\right|$$\) .

What is limit?

A limit in mathematics is a point at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend on limits, which are also used to determine integrals, derivatives, and continuity. It is employed in the analysis process and constantly considers how the function will behave at a specific point.

The usual form of the ratio test makes use of the limit -

\(L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_n}\right|\)

According to the ratio test -

If L = 1 or the limit does not exist, the test is inconclusive because both convergent and divergent series exist that fulfil this condition.

If L 1, the series converges absolutely.

If L > 1, the series diverges.

If limit superior and limit inferior are utilised, it is feasible to make the ratio test usable in some situations when the limit L does not exist.

If the test requirements are adjusted, the test may occasionally be conclusive even when L = 1.

In more detail, let -

\(\begin{aligned}& R=\lim \sup \left|\frac{a_{n+1}}{a_n}\right| \\& r=\liminf \left|\frac{a_{n+1}}{a_n}\right|\end{aligned}\)

The ratio test therefore shows that -

The test is otherwise ambiguous.

If R < 1, the series converges absolutely.

If r > 1, the series diverges.

If \(\begin{aligned}& \left|\frac{a_{n+1}}{a_n}\right| \\\end{aligned}\) > 1 for all large n (independent of the value of r), the series likewise diverges since |a_n| is nonzero and rising and therefore a_n does not approach zero.

Therefore, the ratio test formula is \($$L=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_n}\right|$$\).

To learn more about limit from the given link

https://brainly.com/question/282767

#SPJ4

Answer:

18.92%

Step-by-step explanation:

Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.

An example of a shock add is Poking fun at events

By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.

The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.

These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.

Learn more about advertising at: https://brainly.com/question/1020696

#SPJ1

Answer:

  4f-7

Step-by-step explanation:

You want the perimeter of a triangle whose side lengths are f, 2f, and f-7.

The perimeter is the sum of the side lengths:

  P = f +2f +(f -7)

  P = 4f -7

The perimeter of the triangle is 4f-7.

__

Additional comment

No such triangle can exist. The sum of the two shortest sides is f+(f-7) = 2f-7, which is not greater than the longest side, 2f. The triangle inequality is not satisfied.

99^2= 99*99

99

x 99

--------

891 (Multiplying 99 by 9)

891 (Multiplying 99 by 9 and leaving a space on the right)

--------

9801 (Adding)

The answer is 9801.

Due to inflation, a fixed quantity of money can buy 5% less every year. If camille has enough in her wallet to buy 86 movie tickets right now, the same amount of money could buy 69 movie tickets in 4 years.

Inflation is the sustained increase in the general price level of goods and services in an economy over a period of time. When inflation occurs, each unit of currency buys fewer goods and services; consequently, inflation reduces the purchasing power of money. Here, inflation reduces the purchasing power of money by 5% every year.

Let's assume that Camille has enough in her wallet to buy 86 movie tickets right now. After 1 year, the same amount of money would be able to buy 86 * (100 - 5) / 100 = 81.7 movie tickets, since the purchasing power of the same amount of money would have decreased by 5%.

After 2 years, the same amount of money would be able to buy 81.7 * (100 - 5) / 100 = 77.6 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

After 3 years, the same amount of money would be able to buy 77.6 * (100 - 5) / 100 = 73.7 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

After 4 years, the same amount of money would be able to buy 73.7 * (100 - 5) / 100 = 69.9 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

However, since movie tickets cannot be bought in fractional amounts, we would round down to the nearest whole number, so the same amount of money could buy 69 movie tickets in 4 years.

To learn more about inflation click on,

https://brainly.com/question/30012435

#SPJ4

Answer:  x = 1,y=-2

Step-by-step explanation: point from ( 1, -2 )

Answer:

9/5

Step-by-step explanation:

2×9×12=216 so216/120 =9/5

Jasmine bought approximately 4 triffids.

We have,

We know that Jasmine bought a total of twenty plants and that she purchased at least one of each type.

Let's assume she bought x triffids.

From the given information, we can determine the number of poison ivy plants and deadly nightshade plants she bought:

Number of poisoned ivy plants = Total plants - (Number of deadly nightshade plants + Number of triffids)

Number of poisoned ivy plants = 20 - (1 + x) = 19 - x

Number of deadly nightshade plants = Total plants - (Number of poisoned ivy plants + Number of triffids)

Number of deadly nightshade plants = 20 - (1 + (19 - x)) = 20 - (20 - x) = x

We can now set up an equation based on the total amount Jasmine spent:

Total cost = (Number of poisoned ivy plants * Cost per poisoned ivy plant) + (Number of deadly nightshade plants * Cost per deadly nightshade plant) + (Number of triffids * Cost per triffid)

£120 = (19 - x) * £2 + x * £9 + x * £12

Simplifying the equation:

£120 = £38 - £2x + £9x + £12x

£120 = £38 + £19x

£82 = £19x

Dividing both sides of the equation by £19:

£82/£19 = x

x ≈ 4.32

Since we can't have a fractional number of plants, we'll round down to the nearest whole number.

Therefore,

Jasmine bought approximately 4 triffids.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The complete question:

Jasmine spent a total of £120 on buying three types of plants: poisoned ivy, deadly nightshade, and triffids. Poisoned ivy plants cost £2 each, deadly nightshade plants cost £9 each, and triffids cost £12 each. She bought a total of twenty plants, ensuring that she purchased at least one of each type.

How many triffids did Jasmine buy?

x = first shop

y = second shop

This year the telephone bill for the first shop was $630 less then three times the telephone bill for the second shop.

⇒ x = 3y - 630

The total telephone expense for both shops was $2446.

⇒ x + y = 2446

Solve by substitution -- the first equation into the second:

x + y = 2446 ⇒ (3y - 630) + y = 2446 ⇒ 4y = 3076 ⇒ y = $769

Substitute the value of y back into either of the original two equations to solve for x:

x = 3y - 630 ⇒ x = 3(769) - 630 = $1,677

x = $1,677

y = $769

Answer:

42 degrees

Step-by-step explanation:

"Complementary" means the angle measures add up to 90 degrees.

\(m\angle A+m\angle B =90^\circ\\(x+28)+(4x-8)=90\\5x+20=90\\5x=70\\x=14\)

Now plug in 14 for x in the expression for the measure of angle A.

\(m\angle A = 14^\circ+28^\circ =42^\circ\)

Answer:

300 inches cubed

Step-by-step explanation:

12 x 10 x 2.5 = 12 x 25
                    = (3 x 4) x 25
                    = 3 x (4 x 25)
                    = 3 x 100
                    = 300

Answer:

No

Step-by-step explanation:

1+7/x=y cannot be a linear equation because x is the denominator. A variable in the denominator means it has restrictions to what it can or cannot be. For example it can never be 0.

In the competition experiment between Fragilaria and Tabellaria diatom species, where silicate was the limiting resource, the two species were placed together in the same container.

The competitive exclusion principle, proposed by ecologist Georgii Gause, states that two species with identical resource requirements cannot coexist indefinitely in the same ecological niche. In this experiment, Fragilaria and Tabellaria were both diatom species competing for limited silicate resources. In the absence of interspecific competition, Fragilaria had a lower intrinsic growth rate of 0.62/day, while Tabellaria had a higher intrinsic growth rate of 0.74/day.

When each species was alone in the container, the equilibrium silicate concentrations were 1.0 micromolars/liter for Fragilaria and 9.7 micromolars/liter for Tabellaria. However, when the two species were placed together, the competitive exclusion principle predicts that the species with the higher intrinsic growth rate, Tabellaria, will outcompete Fragilaria for the limited silicate resource. As a result, Tabellaria is expected to increase in abundance, leading to a decrease in silicate concentration and potentially driving Fragilaria to extinction.

In summary, the competitive exclusion principle predicts that in the presence of interspecific competition and limited resources, one species (Tabellaria) will outcompete the other (Fragilaria) and eventually lead to the exclusion or extinction of the inferior competitor.

Learn more about growth rate here:

https://brainly.com/question/11215089

#SPJ11

The coordinates of the segment T'V' are (-3, 6) (0, 1).

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

We have,

Triangle TVW which has points (-4, 8), (0, 4) and (4, 4) and on a coordinate plane.

Scale factor 3x/4, 3y/4

It has to be dilated to create a new triangle, T'V'W'.

So,

To create a new triangle,  

we have to multiply the original triangle's coordinate by scale factor, to get the new triangle's coordinate.

So, we have to dilate the coordinates by 3x/4, 3y/4,

T'  = (-4x 3/4, 8x3/4) = (-3, 6)

V' = (0x 3/4, 4x3/4) = (0, 1)

W' = (4x3/4, 4x3/4) = (1, 1)

So, the coordinates of triangle  after dilation are (-3, 6),  (0, 1) and (1, 1).

Hence, we can say that the coordinates of the endpoints of the segment    are (-3, 6),  (0, 1).

To learn more about the dilation in geometry;

https://brainly.com/question/10713409

#SPJ1

The complete question is;

Triangle TVW is dilated according to the rule

DO,(x,y)(three-fourths x, three-fourths y) to create the image triangle T'V'W', which is not shown.

On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).

What are the coordinates of the endpoints of the segment T'V'?

T'(-3, 6) and V'(0, 3)

T'(-3, 6) and V'(0, 1)

T'(-1, 2) and V'(0, 3)

T'(-1, 2) and V'(0, 1)

Answer: 7:35 a. M

Step-by-step explanation:

Given that:

Snooze on alarm = 5 minutes

Snooze on cellphone = 7 minutes

If both activates at 7:00 a. M

Time at which both will activate again ;

Obtain the Lowest Common Multiple of 5 and 7

_5 __|5 ___|7

_7__ |1 ___|7

____ |1 ___| 1

Lowest common multiple = (5 * 7) = 35

Hence, both alarms will sound together again after 35 minutes = 7:00a.m + 35 minutes = 7:35 A. M

Answer:

Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24.

Step-by-step explanation:

Answer:

calculator?

Step-by-step explanation:

calculator?

Answer:

(-2) and 3 and (-4)

Step-by-step explanation:

Answer:

1, 3, and 4

OR

A, C, and D

Step-by-step explanation:

The inequality is f is LESS THAN 4.

-2 is less than 4

7 is GREATER than 4 so this is incorrect

3 is less than 4

-4 is less than 4

The required number of markers does Gerald has 56 markers.

Let's represent the number of markers that Gerald has with the variable "m", and the number of pens he has with the variable "p". We can set up two equations based on the information given:

m + p = 78 (equation 1)

(m + 11) + (p + 11) = 78 (equation 2)

In equation 2, we add 11 to both the number of markers and the number of pens, since Gerald has 11 more of each. We can simplify equation 2 by combining like terms:

m + p + 22 = 78

m + p = 56 (equation 3)

Now we have two equations with two variables. We can use either substitution or elimination to solve for one of the variables. Let's use substitution and solve for "m" in terms of "p" using equation 1:

m + p = 78

m = 78 - p

Now we can substitute this expression for "m" into equation 3:

m + p = 56

(78 - p) + p = 56

Simplifying the equation, we get:

78 - p + p = 56

78 = 56 + p

p = 22

Therefore, Gerald has 22 pens. To find the number of markers he has, we can substitute this value of "p" into equation 1:

m + 22 = 78

m = 56

So, Gerald has 56 markers.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

Answer:

7

Step-by-step explanation:

the z value needed to conduct a two tail test in a statistical inference problem, specifying a 90% level of confidence is 1.65

A confidence interval is based on the sample statistics and is used to estimate a population parameter.

For example, a sample mean is used to build a confidence interval to estimate the population mean.

the z value needed to conduct a two tail test in a statistical inference problem, specifying a 90% level of confidence is 1.65

learn more about of interval here

https://brainly.com/question/13067956

#SPJ4

The partition where the bundle branches are located is called the interventricular septum. The interventricular septum is a wall of tissue that separates the ventricles of the heart. It plays a crucial role in electrical conduction within the heart.

Within the interventricular septum, there are specialized bundles of cardiac muscle fibers known as the bundle branches. These bundle branches are responsible for transmitting electrical signals from the atrioventricular (AV) node to the ventricles, coordinating the contraction and pumping of blood.

The bundle branches consist of the left bundle branch and the right bundle branch. The left bundle branch further divides into the anterior and posterior fascicles, while the right bundle branch extends towards the right ventricle. These branches distribute electrical impulses to specific regions of the ventricles, ensuring synchronized and efficient contraction.

In summary, the partition where the bundle branches are located is known as the interventricular septum. It serves as a pathway for electrical signals to reach the ventricles, facilitating coordinated contraction and efficient pumping of blood.

know more about interventricular septum.

https://brainly.com/question/29103032

#SPJ11

The equivalent expression is 5b-0.9b.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

As per the given information in the question,

Discount on the price of bread = 18%

Total loaves of bread by Shanaya = 5

Let the price of bread is b.

Then, the expression for the statement will be,

=>5 (b - 0.18b)

The equivalent expression for the statement will be,

=>5b - 0.9b

Hence the equivalent expression is 5b-0.9b.

To learn more about expression refer the below link

https://brainly.com/question/112703

#SPJ1

Answer:

12

Step-by-step explanation:

if he used 6 green, and 6x4=24, then u should do 3x4=12, so he used 12 blue

Answer: 36 total Legos

Step-by-step explanation:

First you divide 24 (the total number of green Legos) with 6(the number of Legos used per very 3 blue Legos).

24  ÷  6 = 4

We can multiply 3 with 4 for the total of blue Legos used.

3 × 4 = 12

Then add for the answer.

12 + 24 = 36

Answer:

SSS stands for Side Side Side triangle similarity.

SAS stands for Side Angle Side triangle similarity.

Step-by-step explanation:

1. is SSS because all the side of the two triangles are equal to each other.

2. is SAS because two side and one angle of the two triangles are equal.

3. SAS

4. SAS

5. SSS.

6. Congruent by Angle Angle but it is not said here so I would say SAS.

7. SAS

8. SSS

9. SSS

10. SSS

11. SAS

12 SSS

Answer:

20° and 22°

Step-by-step explanation:

Quadrilaterals are shapes with 360°. Since we are given two known angles, we can subtract them from 360. 360 - 216 - 102 = 144 - 102 = 42

Because the others are in a ratio of 10:11, the only possible degree combination will be 20° and 22°