Juliette multiplied two polynomials. Her work is shown here:
(x-3)-(x+4)
(x)-(x) + (-3) (4)
7-12
a. Did Juliette multiply correctly? If not, explain to Juliette what b. Show how an am
she did wrong and show how she can correct her work.

Answer:

Step-by-step explanation:

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37 and 15

The pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides.

Given that, the volume of a pentagonal prism is 360 in³, with a height of 3 inches,

We need to find the area of the base,

We know that, the volume of a pentagonal prism is =

V = 1/4 √(5(5+2√5)·a²h

Where a is the base edge and h is the height,

360 = 1/4·3 √(5(5+2√5)·a²

1/4·√(5(5+2√5)·a² = 120

Since, the base of a pentagonal prism is a pentagon, and the area of a pentagon = 1/4 √(5(5+2√5)·a²

And we have,

1/4 √(5(5+2√5)·a² = 120

Therefore, the base area is 120 in²

Hence, the pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

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Answer: 28282

Step-by-step explanation:

I think

The depth of the ocean is 650 feets at the bottom of the sunlight zone.

The distance travelled by echo sound is given by the formula -

Speed = 2×distance/time

So, calculating the speed of sound from the formula using distance and time

Speed = 2×25/(1/100)

Speed = 50×1000

Speed of sound = 5000 feet/second

Now, calculating the distance or depth of ocean at the bottom of the sunlight zone -

Distance = (speed×time)/2

Distance = (5000×26/100)/2

Distance = 1300/2

Distance = 650 feets

Hence, the depth of ocean is 650 feets.

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Based on the given information, the compass will lag behind the airplane during a turn from the south. This means that the compass reading will be slower to update and indicate the correct heading compared to the actual direction of the airplane. Therefore, the first statement "The compass exaggerates the rate of turn" is false.

During a turn, the compass needle is affected by the magnetic field of the Earth, and it takes some time for the needle to align with the new heading. This lag in the compass reading is due to the inertia of the compass needle and the damping effect of the compass mechanism. As the airplane turns, the compass needle will gradually catch up and align with the new heading. Therefore, the second statement "The compass will lag behind the airplane" is true.

The third statement "The compass will match the exact heading" is false because, as mentioned earlier, the compass will lag behind the airplane during a turn. It will eventually align with the correct heading, but it will not match the exact heading instantaneously.

In summary, during a turn from the south, the compass will lag behind the airplane, but it will eventually align with the correct heading. It does not exaggerate the rate of turn, and it does not immediately match the exact heading.

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Answer:

yessirrr

Step-by-step explanation:

1. They are all 100 degrees

2. They are once again all 150 degrees

Answer:

3/4

Step-by-step explanation:

three-fourths also means 3 out of 4. This can be shown as a fraction as 3/4

Answer:

3/4 the last option

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

The length of the segment HD will be 5.5.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that triangle, F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8.

The length of the segment HD will be calculated as,

EG / GD = FH / HD

4 / 11 = 2 / HD

HD = 22 / 4

HD = 5.5

The missing image is attached with the answer below.

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The partial sum of the given sequence, 1 + 10 + 19 + ... + 199, can be found by identifying the pattern and using the formula for the sum of an arithmetic series.  Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

To find the partial sum of the given sequence, we can observe the pattern in the terms. Each term is obtained by adding 9 to the previous term. This indicates that the common difference between consecutive terms is 9.

The formula for the sum of an arithmetic series is Sₙ = (n/2)(a + l), where Sₙ is the sum of the first n terms, a is the first term, and l is the last term.

In this case, the first term a is 1, and we need to find the value of l. Since each term is obtained by adding 9 to the previous term, we can determine l by solving the equation 1 + (n-1) * 9 = 199.

By solving this equation, we find that n = 23, and the last term l = 199.

Substituting the values into the formula for the partial sum, we have:

S₂₃ = (23/2)(1 + 199),

= 23 * 200,

= 4600.

However, this sum includes the terms beyond 199. Since we are interested in the partial sum up to 199, we need to subtract the excess terms.

The excess terms can be calculated by finding the sum of the terms beyond 199, which is (23/2)(9) = 103.5.

Therefore, the partial sum of the given sequence is 4600 - 103.5 = 4496.5, or approximately 4497 when rounded.

Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

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The data described in the first statement, "The movie ratings of a critic with possible ratings being 0 stars, one-half star, 1 star, and so on," is discrete data.

Discrete data consists of distinct, separate values or categories that have gaps between them. In this case, the possible movie ratings are specifically defined as 0 stars, one-half star, 1 star, and so on. Each rating is a distinct category with no intermediate values or measurements. The ratings are not continuous and cannot take on any value within a range.

In contrast, continuous data represents measurements or values that can take on any value within a range or interval. For example, if the movie ratings were described as a continuous scale from 0 to 5 stars, where any fractional value within that range is possible, it would be considered continuous data.

Since the movie ratings in the given statement are defined as specific categories without any intermediate values, they are classified as discrete data.

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Answer:

Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.

Answer:

See below.

Step-by-step explanation:

She is wrong because  3 times the perimeter  of one triangle is the sum of 9 sides of the triangles.

In the shape  we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape,  - the perimeter is only the length of 5 sides of a triangle.

So the perimeter is less than the sum of the sides of the 3  triangles.

This distance of 8.66 centimeters is the maximum separation of the tips of the hour and minute hands of an analog clock over a 24 hour period.

The distance between the two tips of the hands of an analog clock can be calculated with the Pythagorean Theorem. The difference in time between the two hands is 1 hour, or 15 degrees

1. Calculate the angle between the two hands:

1 hour = 15 degrees

2. Calculate the hypotenuse of the triangle formed by the two hands:

3 cm and 4 cm = 5 cm

3. Calculate the distance between the two tips using the cosine of the angle:

5 cm x 1.73= 8.66 cm

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Answer:

5 cm

Step-by-step explanation:

Square has the formula = S × S

S × S = S²

S = Side

Square has an area 25 cm²

Length of a side of the square :

25 cm² = S²

S² = 25

S = √25

S = 5 cm

________________________

Answer:

y2=34 y1= -11

x2= 39 x1= -26

y2-y1/x2-x1

34-(-11)/39-(-26)

34+11/39+26

45/65

m=9/13

Answer:

1 / 6

Step-by-step explanation:

1 - 5 / 6 = 1 / 6

because:

6 / 6 - 5 / 6 = 1 / 6

Answer:

1/6 or 0.16

Step-by-step explanation:

subtract 1 from 5/6 and it would be 1/6.

Answer:

q = 9

Step-by-step explanation:

we can see it is a parallelogram so opposite sides are equal.

q - 3 = 6 ( being opposite sides of parallelogram)

q = 6 + 3

q = 9

Answer:

29 16/25

Step-by-step explanation:

29 and 64/100

reduces to 29 16/25

Answer:

170 is the difference between 120 & -50 on a number line

Step-by-step explanation:

so - 50 to 0 is 50

than 0 to 120

so, |-50| + 120 = 170

The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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Answer:

x=30

Step-by-step explanation:

105 is also the same as angle b which is also the same as the angle opposite.

so

150+150=300

360-300=60

60/2=30

hope that helps.

plz mark as brainliest if correct

thank you

Answer:

x=75°

Step-by-step explanation:

the angle that is 105° and the angle that is x makes a co interior angle.

the two angles belonging to that co interior angle will always add up to 180°.

so in this case, 180° - 105° = x

answer = x=75°

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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Answer:

Jamal is correct.

Step-by-step explanation:

(11.5) − (−11.5)

=11.5 − (−11.5)

=11.5 + 11.5

=23

In the given case, people staying away from the city centre are not being irrational but, their opportunity cost of commuting must be lower

Opportunity cost is the price of forgone options or the worth of the next best option that must be given up in order to pursue a certain choice. The opportunity cost of commuting might encompass not just the time and money spent on transportation, but also the advantages and disadvantages of living in various places. In the given case, living close to the city centre, could make it simpler to access social events, entertainment, and cultural activities, while relocating further away might provide you access to more space, privacy, and natural surroundings.

As a result, depending on their personal and professional ambitions, financial limitations and other considerations, different people may have various preferences and trade-offs when deciding where to live and how much to commute. Some people might put their commute time and cost reduction first, while others might put other aspects of their lifestyle and surroundings first.

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Enchanted Rock State Natural Area is located at latitude 30.506130 and longitude -98.820064. The geographic coordinates of Enchanted Rock State Natural Area in Fredericksburg, United States, are 30° 30' 22.068" N and 98° 49' 12.2304" W. Enchanted Rock State Natural Area falls under the Mysterious Sites category.

The standard datum used by default for GPS devices used for commercial and recreational purposes is WGS84. GPS users are advised to always verify the datum of the maps they are utilising.

WGS 84, also known as the datum, is now in use by US forces.

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Answer:

The volume of the container is 1872 cubic cm. The volume of the water is 672 cubic cm.

Therefore, 672/1872 = 0.36 or 36%

Answer:

8+4b+9x+7d

Step-by-step explanation:

(9+4b) +(-3+9x) +(2+7d)

combine like terms 9-3+2=8

so, 8+4b+9x+7d

Answer:

4b+7d+9x+8

Step-by-step explanation:

The outcome or result of adding two or more integers is known as the SUM.

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

the sum of two or more numbers, magnitudes, quantities, or specifics as determined by or as though decided by the addition process in mathematics.

The outcome of adding two or more numbers, objects, or things is referred to in mathematics as the sum.

The result or solution we obtain from adding two or more integers is known as the SUM. Addends are the figures that are combined.

\(Simplify $\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}: \frac{x+5}{x+3}$Steps$$\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}$$Apply the fraction rule: $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$$$=\frac{x+3+2}{x+3}$$Add the numbers: $3+2=5$$$=\frac{x+5}{x+3}$$\)

Therefore, the correct answer is option b) \($=\frac{x+5}{x+3}$\)

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Answer:

I’m not sure but I need this too!!

Step-by-step explanation: