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2 years ago

How do you evaluate fuctions?

Mathematics

1 answer:

Evgen [1.6K]2 years ago

6 0

Step-by-step explanation: To evaluate functions substitute the given number or expression function's variable.

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Houw would i factor this problem out completely?

kvasek [131]

You can factor out a 3t first, resulting in:
$3t(2t^2+3t-5)$

Now, let's factor the equation in the middle using the quadratic equation. Plug in the values to the quadratic equation:
$\frac{-3\pm \sqrt{3^2-4(2)(-5)}}{2(2)} = -\frac{3\pm \sqrt{49}}{4} = -\frac{3\pm 7}{4}$

Simplify, you get your x's:
$x = 1, -\frac{5}{2}$

To write the equation in simplified form, you just write it this way:
$3t(x-1)(2x+5)$

That's your answer ^

3 0

3 years ago

Read 2 more answers

A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.

tangare [24]

Answer:

your fricked I don't even know this lolll

7 0

3 years ago

Read 2 more answers

A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude

I am Lyosha [343]

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

<h3>Solution:</h3>

We are given three sides of a triangle, Let the sides be :

( a ) = 35 cm

( b ) = 54 cm

( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

<u>Heron's </u><u>Formula</u>

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

$\sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}$

where ( s ) :

$\sf \longrightarrow s = \dfrac{a + b + c}{2}$

Therefore, for the given triangle first we will calculate ( s )

$\begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}$

Now, Area of triangle will be:

$\begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}$

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

$\begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}$

3 0

2 years ago

Read 2 more answers

What is the product?(4y − 3)(2y2 + 3y − 5)8y3 + 3y + 158y3 − 23y + 158y3 − 6y2 − 17y + 158y3 + 6y2 − 29y + 15

motikmotik

We need to find the product of :

$\mleft(4y-3\mright)\mleft(2y2+3y-5\mright)$

So, the result as following:

$\begin{gathered} \mleft(4y-3\mright)\mleft(2y^2+3y-5\mright) \\ =4y\cdot(2y^2+3y-5)-3\cdot(2y^2+3y-5) \\ =8y^3+12y^2-20y-(6y^2+9y-15) \\ =8y^3+12y^2-20y-6y^2-9y+15 \\ \\ =8y^3+6y^2-29y+15 \end{gathered}$

So, the answer is the option 4. 8y3 + 6y2 − 29y + 15

5 0

1 year ago

20 mountains and where they are found in the world

Serga [27]

Answer:

20. Nuptse, Mahalangur Himalaya

It is located in the Mahalangur range in the Khumbu region and is one of the mountains surrounding Mount Everest.

19. Distaghil Sar, Hispar Karakoram

This peak is located in the Karakoram range of the Gilgit-Baltistan region of Pakistan. Dishtaghil Sar is almost three kilometers wide and 7884 meters in height.

18. Himalchuli, Manaslu Himalaya

The Himalchuli peak is a part of Nepal Himalayas and prevails south of Mount Manaslu, one of the world’s highest mountains. Himalchuli has the second-highest summit in its mountain range, i.e., Mansiri Himalaya, at the height of 7892 meters. Hisashi Tanabe of Japan was the first person to have climbed it in 1960.

17. Gasherbrum IV, Baltoro Karakoram

Gasherbrum IV is one of the peaks in the Gasherbrum mountain range, as the name suggests, and is located in Pakistan. It is at the north-east end of the Baltoro Glacier in the Karakoram range of the greater Himalayas. The rest of the three peaks located in the Gasherbrum range are well above 8000 meters, while this peak is about 7932 meters in elevation.

16. Annapurna II, Annapurna Massif

At 7934 m high, Annapurna II lies in the eastern ranges of the Annapurna range, and quite contrary to the common belief in people, it is an independent peak. The first ascent of this peak was made by Richard Grant, Chris Bonington, and Ang Nyima Sherpa in 1960 and has seen very few ascents since.

15. Gyanchung Kang, Mahalangur Himalaya

Gyanchung Kang lies between two of the tallest mountains globally, both of which are above 8000 meters, namely, Cho Oyu and Everest. It is part of Mahalangur Himalaya while it spreads between Nepal and Tibet Autonomous Region of China. It is 7952meters in height.

14. Shishapangma, Jugal Himal

All the mountains listed from here onwards are above an altitude of more than 8000 meters. It is located between Tibet and Nepal. It lies in the restricted area that foreigners are not permitted to visit on security grounds.

Mount Lhotse

13. Gasherbrum II or K4, Baltoro Karakoram

Gasherbrum II lies above Gasherbrum III, and as mentioned above, it is located in the Karakoram range. The 8035-meter peak was first climbed in 1956 by an Austrian climber.

12. Broad Peak or K3, Baltoro Karakoram

The broad peak at 8051 meters is the 12th highest mountain and is also popularly known as Falchan Kangri.

11. Gasherbrum I or Hidden Peak or K5, Baltoro Karakoram

The name was hidden peak due to the extreme remoteness in which it is located. Pete Schoning and Andy Kauffman, who were part of an eight-member American team, were the first to climb this 8080-meter peak in 1956.

10. Annapurna I, Annapurna Massif

The main peak of Annapurna I is the tenth tallest mountain in the world with an altitude of 8091 meters.

9. Nanga Parbat, Nanga Parbat Himalayas

It is also known by the name of “Killer Mountain” because it has one of the highest numbers of deaths and unsuccessful expeditions simultaneously; it has never been climbed during the winter. Located in the Diamer District of Gilgit-Baltistan, Pakistan, Nanga Parbat is the western anchor of the Himalayas.

8. Manaslu, Manaslu Himal

It lies in the Himalayas’ Gorkha district and is in very close proximity to the Annapurna range. Manaslu stands at 8163 meters. Located in the Diamer District of Gilgit-Baltistan, Pakistan, Nanga Parbat is the western anchor of the Himalayas.

7. Dhaulagiri I, Dhaulagiri Himal

It is the highest point in the Kali Gandaki river valley. This massif is bounded on the north and southwest by tributaries of the Bheri River and on the southeast by the Myagdi Khola.

6. Cho Oyu, Mahalangur range Himalaya

Cho Oyu is usually considered the easiest of the 8000-meter peaks due to the moderate slopes and passes nearby. Nepal (Province No. 1)–China (Tibet)

5. Makalu, Mahalangur range Himalaya

Despite being part of the Mahalangur range, Makalu is an isolated peak shaped like a four-sided pyramid. It is located in the Mahalangur Himalayas 19 km southeast of Mount Everest, on the border between Nepal and Tibet Autonomous Region, China.

4. Lhotse, Mahalangur Range Himalaya

Part of the Everest massif, Lhotse is connected to the latter peak via the South Col. Lhotse means "South Peak" in Tibetan

3. Kangchenjunga, Kangchenjunga Himalaya

In a section of the Himalayas called Kangchenjunga Himal delimited in the west by the Tamur River, in the north by the Lhonak Chu and Jongsang La, and in the east by the Teesta River.

2. K2 /Chhogori/Godwin Austen, Baltoro Karakoram

The Baltistan region of Pakistan is home to the highest point in both the Karakoram range and the nation in the form of K2.

1.Sagarmatha /Chomolungma/ Mount Everest /, Mahalangur Range Himalaya

Mount Everest or Sagarmatha, as it is called in Nepal, and Chomolungma is known in Tibet.

Step-by-step explanation:

Hope this helps :)

8 0

2 years ago