What is the volume of a right rectangular prism that is packed with 300 1/5-foot cubes?

The part "since  ∠ AMC is a right angle, ∠BMC and ∠CMD will be complementary" and "since  ∠ BMC is a right angle, ∠BMC and ∠AMB will be complementary" , the paragraph proof is incorrect.

We are given that,

∠ AMC and ∠BMC are right angles.

Since,

∠ AMC = ∠ AMB + ∠ BMC

The paragraph part should have been ∠ AMB  and ∠ BMC are complementary angles and,

Since,

∠ BMD = ∠ BMC + ∠ CMD

The paragraph part should have been ∠ CMD  and ∠ BMC are complementary angles instead of the part given in the paragraph proof.

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Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

(1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

Given are the polynomials,

1) x² - 2 x - 8

Factors = (x+2)(x-4)

2) x² + 2 x - 8

Factors = (x-2)(x+4)

3) x²-2x-4 = There will be no integral root.

4) x²+2x-4 = There will be no integral root.

Hence the (1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

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Step-by-step explanation:

one to one relationship

this is the answer

The correct connections for AC will be option b) AB+3.7 = 1.5. Two expressions joined by the equals symbol ("=") form an equation.

Hence, The correct connections for AC will be option b) AB+3.7 = 1.5.

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Answer:

468

486

648

684

846

864

Answer:

d. median of 1999 data

Step-by-step explanation:

a=10,249.25 (add all the 1998 data then divide by 4)

b=619 (add all 1999 data then divide by 4)

c= 2568 10050 12047 16332

10050+12047/2

d=3026 9904 13063 16546

9904+13063/2

Answer:

A. x = 3, y = 11

Step-by-step explanation:

Inserting these two numbers into the expressions, you get the numbers 9 and 7. These show that the triangles are congruent.

Hope it helps!

9514 1404 393

Answer:

  D.)  Graph moves 3 units right.

Step-by-step explanation:

Replacing x with x-h moves the graph h units to the right. Here, h=3, so the graph is moved 3 units to the right.

  parent: f(x) = x^2

  translated: f(x) = (x -3)^2

Hey there! The topic for this problem is Limit of Function!

As for the question, we are given the quadratic function and we have to find the limit, the value that approaches to a.

\( \large \boxed{lim_{x \longrightarrow a} f(x)}\)

We call this, "The limit of f(x) when x approaches a."

Then you may ask, "How do we find the limit of function?". That is a very nice question! The answer to your problem is just substitute x-value in. Although this substitution method only applies when the approaching value doesn't make the denominator to 0. I believe that in the beginning of Limit topic, we learn how to find or evaluate the basic limit that only requires substitution.

So from the question, we receive:

\( \large{lim_{x \longrightarrow 2} ( {x}^{2} - 3x - 1)}\)

Next step is to substitute x = 2 in the function.

\( \large{lim_{x \longrightarrow 2} ( {2}^{2} - 3(2) - 1)}\)

Evaluate the value.

\( \large{lim_{x \longrightarrow 2} ( 4 - 6 - 1)} \\ \large{lim_{x \longrightarrow 2} ( - 3)}\)

Cancel the limit out and there you have it!

\( \large \boxed{ - 3}\)

Answer

Now whenever you learn limit, you must know that limit is when we substitute the approaching value. That means x —> 2 is not x = 2 but x approaches 2.

Regarding the limit, any questions and doubts can be asked through comment and I will get back to you soon!

Thank you for using Brainly and I hope you have a fantastic day! Good luck on the assignment.

Answer:

17:53=5:53pm

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

i took the test :]

Answer:

Step-by-step explanation:

h(t) = -16t² + 14400

0= -16t² + 14400

(1/-16)×-14400=-16t²(1/-16)

900=t²

\(\sqrt{900} =\sqrt{t^{2}}\)

30=t

Hence, the time taken in seconds for barometer to hit the ground is 30.

A barometer falls from a weather balloon from a height of 14400, this means that the initial height is 14,400 ft.

How many seconds will it take for the barometer to hit the ground?

The initial height of a barometer is 14,400 ft.

After the barometer falls from a weather balloon it hits the ground and final height is 0.

So, the equation h(t)= -16\(t^{2}\)+ initial height

putting h(t)=0 which is the final height and initial height=14,400 we get,

0=-16\(t^{2}\) +14,400

16\(t^{2}\)=14,400

t=\(\sqrt{14,400/16}\)

\(t^{2}\)=900

t=\(\sqrt{900}\)

t=30

Hence, the time taken by barometer to hit the ground is 30 seconds.

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Answer:

x = 10

Step-by-step explanation:

To find the value of x:

1) add up like-terms

4 + 2x+1x-4=30

4 + 3x - 4 = 30

2) Add up the number on the left side

0 + 3x = 30

3x = 30

3) isolate the x

3x/3 = 30/3

x = 10

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

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The greatest common factor of 4, 8 and 12 is 4

The first number = 4

The second number = 8

The third number = 12

The GCF is stands for greatest common factor.

To find the greatest common factor use the prime factorization method

Prime factorization

Factorize the number 4 = 2 × 2

Factorize the number 8 = 2 × 2 × 2

Factorize the number 12 = 2 × 2 × 3

Here we have to take the common terms from the prime factorization

The greatest common factor = 2 × 2

Multiply the number

= 4

Therefore, the greatest common factor is 4

I have solved the question in general,  as the given question is incomplete

The complete question is:

What is the GCF of 4 and 8 and 12?

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John Rey invested $1000 in the first account at 9% interest and $3100 in the second account at 7% interest .

Let he invested x in the first account at 9%.

Interest = Principal × rate × time

Here rate = 0.09 and time = 1 year

Interest earned = 0.09x

Amount invested at 7% = $(4100-x)

rate = 0.07 and time = 1 year

Interest earned = 0.07(4100-x)

Total interest earned is $307

Hence : 0.09x + 287 - 0.07x = 307

or, 0.02x = 20

or, x = 1000

Amount invested at 7% = $(4100 - 1000) = $3100

Therefore John Rey invested $1000 in the first account at 9% interest and $3100 in the second account at 7% interest .

Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest.

Simple interest does not change the principal amount in the same way as compound interest, which adds the interest of one year's principal to the next year's principal to calculate interest.

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The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer:

75 km.

Step-by-step explanation:

Fractions of a number

To get the fraction of a number, we multiply that number by the given fraction.

For example two-thirds of 60 is 2/3 × 60 = 2 × 20 = 40 and one-fifth of 100 is 1/5 × 100 = 100/5 = 20

Now, we are supposed to find a fraction of 100 km. Assume its three-quarters.

So, three-quarters of 100 km is 3/4 × 100 km = 3 × 100 km/4 = 3 × 25 km = 75 km

So, three-quarters of 100 km is 75 km.

The probability of both coins landing on heads when two coins are tossed is 1/4, or 0.25, or 25%.

When two coins are tossed, there are four possible outcomes: both coins can land on heads (HH), both coins can land on tails (TT), the first coin can land on heads and the second coin on tails (HT), or the first coin can land on tails and the second coin on heads (TH).

Since we are interested in the probability of both coins landing on heads, we need to determine the number of favorable outcomes (HH) out of the total number of possible outcomes.

Out of the four possible outcomes, only one outcome is favorable (HH). Therefore, the probability of both coins landing on heads is 1 out of 4.

In fraction form, this can be written as 1/4. The probability can also be expressed as a decimal, which is 0.25, or as a percentage, which is 25%.

It's important to note that in this case, we assume that the coins are fair and unbiased, meaning that the probability of landing on heads is equal to the probability of landing on tails, which is 1/2 or 0.5 for each coin individually.

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Answer:

Step-by-step explanation:

i. 1/10

ii. 1/20

iii. 1/20

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200