Is it possible for two triangles to have the same side lengths but not be congruent?

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Step-by-step explanation:

The probability the x is less than 14 is 0.4087

Probability is a measure of the possibility of an event occurring.

The likelihood could range from 0 to 1, , where 0 indicates an impossibility and 1 indicates a certainty. Probability is the ratio of possible outcomes to the total outcomes.

Probability = Possible outcomes/total outcomes

Z score is given by:

Z = (14-18)/03

Z = -1.333

from Z table,

P(z < -1.333) = 0.4087

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Answer:

B

Step-by-step explanation:

The function is increasing anywhere the slope is positive.  This corresponds to the intervals -4<x<-2 and 0<x<2.  So, answer B is correct.

Answer:

the last one

Step-by-step explanation:

Given what we know about the probability of the greenhouse effect, the best thing to do is to take actions that mitigate its effects and reduce greenhouse gas emissions.

The greenhouse effect is the process by which certain gases in the Earth's atmosphere trap heat and warm the planet. This process is essential for life on Earth, as it helps to maintain a stable temperature. However, human activities have significantly increased the concentration of greenhouse gases in the atmosphere, leading to an enhanced greenhouse effect and global warming.

To address this issue, it is important to understand the probability associated with the greenhouse effect and its potential impacts. Scientists have conducted extensive research and modeling to determine the likelihood and consequences of various climate change scenarios. While there is still some uncertainty in the exact outcomes, the scientific consensus is clear: human activities, primarily the burning of fossil fuels, are increasing greenhouse gas concentrations and driving climate change.

Taking this into consideration, the best course of action is to reduce greenhouse gas emissions by transitioning to renewable energy sources, improving energy efficiency, and adopting sustainable practices. These actions can help mitigate the effects of the greenhouse effect and reduce the probability of more severe climate change impacts, such as rising sea levels, extreme weather events, and disruptions to ecosystems.

Furthermore, it is essential to raise awareness and educate others about the greenhouse effect and climate change. By promoting understanding and encouraging collective action, we can work towards creating a more sustainable and resilient future.

In summary, the best thing to do, given what we know about the probability of the greenhouse effect, is to take actions that reduce greenhouse gas emissions and promote sustainability. This includes transitioning to renewable energy, improving energy efficiency, and raising awareness about climate change.

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Answer:

The answer to the question a∧18

Answer:

\(a^{18}\)

Step-by-step explanation:

Use the product rule to simplify a ^7 x a ^11

\(a^{7}\) × \(a^{11}\) =

(add the exponents)

7 + 11 = 18

\(a^{18}\)

Answer:

The unit cubes that are required to create a larger cube with an edge length of 3 units is:

Step-by-step explanation:

To identify the number of cubes you need to create a larger cube, you must think in the number of cubes of the length (3 cubes in this case), and use the exponent 3, because you need to form a cube. Below I'll show you:

To understand it in a better form, suppose that you need a cube with an edge of 5 units, in that case, remember you use the number 5 how base and the exponent is 3, because is a cube, in that case, it would be:

If it wasn't a cube but a square, you must elevate to the number 2, in the case of the cube is elevated to 3, so, the unit cubes that are required to create a larger cube with an edge length of 3 units is 27 cubes.

Answer:  The price of one egg is 36/12= Rs 3. For the price of 18 eggs: Rs 3 x 18 = Rs 54.

Step-by-step explanation:

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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It would take the bowling ball approximately 3.1 seconds to fall 150 feet.

What is distance?

Distance is the total movement of an object, regardless of direction. We can define distance as how much ground an object has covered, regardless of its starting or ending point.

Distance is defined as the size or amount of displacement between two positions. Note that the distance between two locations is not the same as the distance between them. The distance traveled is the total length of the path traveled between two positions.

Here given equation,

d = 16t², where t is the time in seconds and d is the distance in feet and distance is 150 feet.

We want to find the value of t.

Now,

\(d = 16 {t}^{2} \\ {t}^{2} = \frac{d}{16} \\ {t}^{2} = \frac{150}{16} \\ t = \sqrt{( \frac{150}{16}) } \\ t = \sqrt{9.375} \\ t = 3.0619\)

So, t = 3.1 (rounded to one decimal place)

Therefore, it would take the bowling ball approximately 3.1 seconds to fall 150 feet.

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Correct question is "How long would it take the bowling ball to fall 150 feet where equation of distance is d = 16t² ?(Estimate your answer to one decimal place). "

The difference in the amount paid by Cathy and Steven is $4000.

Simple interest is when the interest that is paid on the loan of a customer is a linear function of the loan amount, interest rate and the duration of the loan.

Simple interest = amount borrowed x interest rate x time

Simple interest of Cathy = $20,000 x 0.052 x 10 = $10,400

Simple interest of Steven = $20,000 x 0.048 x 15 = $14,400

Difference in interest = $14,400 - $10,400 = $4000

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Answer:

-3

Step-by-step explanation:

5a=-11-4

5a = -15

a = -3

Answer:

5a= -11 - 4

5a = - 15

a = -15/5

a= -3

Answer:

x = -8

m∠BDC = 68°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set up Equation

m∠BDC + m∠CDA = 180°

(-7x + 12)° + (-8x + 48)° = 180°

Step 2: Solve for x

Step 3: Find m∠BDC

Step-by-step explanation:

josh is 1.5 inches taller than sean

so, let sean's height be x

sean = x

josh = x + 1.5

each year josh gain 2.75 inches, and now he's 13 so how many year has passed

13 y - 5 y = 8

then how tall he grew

2.75×8=22

x + 1.5+22=63

x=63-22-1.5

x=39.5

Answer:

For an nth term U(n) = a + (n -1)d

n = number of terms

a = first term

d = common difference

a = 8

d = 16 - 8 = 8

U(n) = 8 + (n-1)8

= 8 + 8n - 8

= 8n

The formula for the sequence is 8n

Hope this helps.

Answer:

All Real Answers

Step-by-step explanation:

Step 1:

4 - 6x - 2 = - 6x + 2      Equation

Step 2:

2 - 6x = - 6x + 2     Subtract

Step 3:

2 = 2     Add 6x on both sides

Answer:

All Real Answers

Hope This Helps :)

Answer:

87.22 hopee helps

Step-by-step explanation:

Answer:

-0.58

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

0u

Answer:

Answer 2

Step-by-step explanation:

the number are being added together based on their position

Answer:

the second choice (under not ossible)

Reflecting telescopes use mirrors to collect light. A refracting telescope uses lenses. There are many different types of reflectors, but generally all refractors follow the same basic design. Refracting telescopes use lenses to collect and focus light, much like binoculars.

Reflecting Telescope: -

A reflecting telescope (also called a retroreflector) is a telescope that uses one or a combination of curved mirrors that reflect light to form an image. Reflecting telescopes were invented by Isaac Newton in the 17th century as an alternative to refracting telescopes, which at the time suffered from severe chromatic aberration. Reflecting telescopes produce other types of optical aberrations, but are designed to allow very large diameter lenses. Most of the large telescopes used for astronomical research are reflectors. Many different geometries are used, some with additional optical elements to improve image quality or mechanically position the image. Because reflecting telescopes use mirrors, they are sometimes called reflecting telescopes.

The primary mirror is located in the reflector at the bottom of the tube, and the front surface is coated with a very thin metal film such as aluminum. The back of the mirror is usually glass, but other materials are sometimes used. Pyrex was the predominant glass of choice in many of the older large telescopes, but new technology has led to the development and widespread use of a variety of glasses with very low coefficients of expansion.

Refracting Telescope:

A refractor telescope is a type of optical telescope (also called a refractor telescope) that uses a lens as an objective lens to create an image. Refractor designs were originally used in binoculars and astronomical telescopes, but are also used in long focal length camera lenses.

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Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer:

484π or 1520.530844

Step-by-step explanation:

4xπx11²

Answer:

Area of rhombus is 105.84 cm².

Step-by-step explanation:

Area of rhombus is given by

Answer:

Step-by-step explanation:

diagonal 1 = d1 = 8.4 +8.4 = 16.8 cm

Diagonal 2 = d2 = 6.3+6.3 = 12.6 cm

Area of Rhombus = \(\frac{d_{1}*d_{2}}{2}\)

                            \(= \frac{16.8*12.6}{2}\\\\= 8.4*12.6\\\\= 105.84 cm^{2}\)

Answer:

11600kg

Step-by-step explanation:

Given parameters:

Density of aluminium  = 2900kg/m³

  Volume needed  = 4m³

Unknown:

Mass of the aluminum needed  = ?

Solution:

Density is the mass per unit volume of a substance.

 Mathematically;

        Density  = \(\frac{mass}{volume}\)

  Mass  = density x volume

Now, insert the parameters and solve;

  Mass = 2900 x 4  = 11600kg

Answer:

Step-by-step explanation:

Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;

Step 1: Collect the like terms of the expression

= -2y-8+4y

= (-2y+4y)-8

Step 2: Sum up the terms in parenthesis:

=  (-2y+4y)-8

= 2y-8

Step 3: factor out the common terms

= 2y-8

= 2(y-4)

Hence the equivalent expression is 2(y-4).

Answer:

A and B

Step-by-step explanation:

On Khan Academy its right.

Answer:

\(\huge\boxed{\sf 288.9\ unit\²}\)

Step-by-step explanation:

Given that,

a = 29

b = 28

c = 22

= Sum of all sides

= 29 + 28 + 22

= 79

= P / 2

= 79 / 2

= 39.5

= \(\sqrt{s(s-a)(s-b)(s-c)}\)

Where s is semi-perimeter.

Put the given data:

= \(\sqrt{39.5(39.5-29)(39.5-28)(39.5-22)}\)

= \(\sqrt{39.5(10.5)(11.5)(17.5)}\)

= \(\sqrt{83468.4}\)

$7335 is the amount that is left after the expenses.

The given yearly budget for expenses is shown below;Rent mortgage $22002Food costs $7888Entertainment $3141To find out how much will be left after the expenses, we will have to add up all the expenses. So, the total amount of expenses will be;22002 + 7888 + 3141 = 33031Now, we will subtract the total expenses from the annual salary to determine the amount that is left after the expenses.40356 - 33031 = 7335Therefore, $7335 is the amount that is left after the expenses.

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1) S∪W: A. (-∞,-1]

2) S∪T: B. [-8,2]

3) S∩W: C. ∅

4) T∩W: C. ∅

1) S∪W: Since W includes all real numbers less than -5 and S includes all real numbers less than -1, their union would include all real numbers less than -1, including -8. Therefore, S∪W = (-∞,-1].

The correct notation is A. (-∞,-1].

2) S∪T: The union of S and T would include all numbers between -8 and 2, including -1. Therefore, S∪T = [-8,2].

The correct notation is B. [-8,2].

3) S∩W: Since S includes only negative numbers and W includes only numbers less than -5, there is no overlap between them. Therefore, S∩W = ∅ (the empty set).

The correct notation is C. ∅.

4) T∩W: T includes only numbers between -2 and 2, while W includes only numbers less than -5, so there is no overlap between them. Therefore, T∩W = ∅ (the empty set).

The correct notation is C. ∅.

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The given question is incomplete, the complete question is:

Let S=[−8,−1), T=[−2,2], and W=(−[infinity],−5). For each intersection or union, find  the correct notation for the resulting interval.

1. S∪W

2. S∪T

3. S∩W

4. T∩W

Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.

The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.

Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.

Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.

Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.

Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.

In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.

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