HELP ASAP WITH WORK SHOWN!

A particle moves along the x-axis so that
at time t≥ 0 its position is given by
x(t) = 3t³ - 27t² + 72t + 14.
Determine the total distance traveled by
the particle from 0 ≤ t ≤ 6.
0

Answer:

x = 115 , y = 40

Step-by-step explanation:

in a trapezoid

• each lower base angle is supplementary to the upper base angle on the same side.

∠ ART = 40° + 25° = 65°

then

∠ PAR = 180° - ∠ ART = 180° - 65° = 115° , so

∠ PAR = x = 115

the sum of the 3 angles in Δ PAR = 180° , that is

x + y + 25 = 180

115 + y + 25 = 180

140 + y = 180 ( subtract 140 from both sides )

y = 40

Answer:

4.06 cm^2

Step-by-step explanation:

If you draw a line from the top vertex to intersect the base (which is 5.8 cm) at 90 degrees, the line is called the height. You need to calculate the height to determine the area.

So the triangle's height will divide the triangles into 2 smaller right triangles.

For the left right triangle, 2.5 will be hypotenuse

=> 2.5^2 = (height)^2 + (base1)^2

=> (height)^2 = 6.25 - (base1)^2

For the right right triangle, 4 will be hypotenuse

=> 4^2 = (height)^2 + (base2)^2

=> (height)^2 = 16 - (base2)^2

So

6.25 - (base1)^2 = 16 - (base2)^2

We have base1 + base2 = 5.8 => base1 = 5.8 - base2

Substitute

6.25 - (5.8 - base2)^2 = 16 - (base2)^2

6.25 - (33.64 - 11.6base2 + base2^2 = 16 - base2^2

base2^2 - base2^2 + 11.6base2 = 16 + 33.6 - 6.25

11.6base2 = 43.35

base2 = 43.35/11.6 = 3.74

since (height)^2 = 16 - (base2)^2

(height)^2 = 16 - (3.74)^2

height^2 = 2.0124

height = 1.42

so area = 1/2hb = 1/2(1.4)(5.8) = 4.06 cm^2

Answer:

223.67

Step-by-step explanation:

The Sun is approximately 9.2661 x 10^7 miles farther than the Moon from Earth.

The distance between the Sun and the Earth is approximately 9.29 x 10^7 miles, and the distance between the Moon and the Earth is approximately 2.389 x 10^5 miles.

To find how much farther the Sun is from the Earth than the Moon, we can subtract the distance between the Moon and the Earth from the distance between the Sun and the Earth:

9.29 x 10^7 miles - 2.389 x 10^5 miles = 9.2661 x 10^7 miles

Therefore, the Sun is approximately 9.2661 x 10^7 miles farther than the Moon from Earth.

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The sοlutiοn(s) οn the graph are x = -4, 2.

In mathematics, a graph is a diagram οr visual representatiοn οf facts οr values that is οrdered. The pοints οn a graph are typically used tο depict the relatiοnships between twο οr mοre things. Graph theοry is the study οf graphs, which are mathematical structures that are used tο depict pairwise interactiοns between οbjects. A graph in this sense is made up οf vertices and edges.

A graph is an οrdered graphic οr visual representatiοn οf facts οr values in mathematics. The relatiοnships between twο οr mοre οbjects are οften shοwn by the pοints οn a graph.

The study οf graphs, which are mathematical representatiοns οf pairwise interactiοns between things, is knοwn as graph theοry. Vertices and edges make up a graph in this cοntext.

From the given graph we conclude following -

[tex]\frac{1}{4}x^2 = -\frac{1}{2}x + 2\\x^2 + 2x - 8 = 0\\x^2 + 4x - 2x - 8 = 0\\x(x + 4) - 2(x + 4) = 0\\(x + 4)(x - 2) = 0\\x = 2, -4[/tex]

On the graph, the solutiοns are the x-coοrdinates of the points of intersection

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Answer:

look on the yt theres alot of helpful things on there and ive had to do this simliar things and stuff so thats why yt viedo of this should help you

Step-by-step explanation: try a yt viedo to help on this math i wish you luck

Answer:

C. (6r + 5)

Step-by-step explanation:

You would multiply (3r - 7) with (6r + 5) to get the value.

Answer:

7 marbles

Step-by-step explanation:

For every 6 marbles, 2 marbles appear as red.

This pattern would repeat thrice as 6x3 = 18, and then the first 2 marbles (one blue and red) will be counted to make 20 marbles.

So total marbles will be 3x2 in the 18 marble set and 1 in the final 2 marbles.

so 3x2 + 1 = 6+1 = 7

We get 7 marbles as red if we continue in this pattern.

Answer:

Your anser is u = 6

Step-by-step explanation:

[tex]\frac{6}{7} =\frac{8}{u+5}[/tex]

Cross multiply.

[tex]6*(u+5) =7*8\\\\6u+30=56\\\\6u=56-30\\\\6u=36\\\\u=6[/tex]

There are a variety of factors that can lead to violent protests, but two significant factors are perceived injustice and lack of political representation.

Perceived injustice: When people feel that they have been wronged, marginalized, or oppressed by a system or institution, they may resort to violent protest as a way to express their anger and frustration. This is particularly true when people believe that peaceful means of protest have been ignored or have failed to bring about change. For example, if a community feels that they are being unfairly treated by the police, and previous attempts to seek redress through peaceful protests or other channels have failed, they may turn to violent protest as a last resort.

Lack of political representation: When people feel that their voices are not being heard, they may resort to violent protests as a way to force attention to their concerns. This can happen when marginalized groups feel excluded from the political process, or when they feel that their interests are being ignored by those in power. If people feel that their concerns are not being taken seriously, they may turn to violent protest as a way to make their voices heard.

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Answer: ty

Step-by-step explanation:

Brainliest pls:)

When the denominator is zero, the divisor is undefined.

In mathematics, division is the process of dividing a quantity into equal pieces or groups. Division reverses the effects of multiplication because it is the inverse operation of multiplication. The amount being divided is referred to as the dividend in division, and the number by which it is being divided is referred to as the divisor. The quotient is the outcome of a division operation.

Explanation:

Left side               Right side

0 ÷ 70 = 0            ⇒ Zero

862 / 0                ⇒ Undefined

97 ÷ 0                  ⇒ Undefined

[tex]\frac{0}{764}[/tex]  = 0                 ⇒ Zero                    

When the denominator is zero, the divisor is undefined.

When the molecule is zero, the divisor is zeros.

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Answer:

he pays 24,00 and he is left with 56000

Step-by-step explanation:

100% = 80000

30%  = X

100%X= 2400000

2400000/100= 24,000

80,000-24,000= 56,000

Answer:

a) The circumference of the cylinder can be found using the formula C = 2πr, where r is the radius of the circular base. Rearranging the formula, we get r = C/2π. To find the circumference, we can use the formula for the curved surface area: A = 2πrh, where h is the height of the cylinder. Substituting the given values, we get:

660 = 2πr(10)

r = 33/π

Now we can find the circumference:

C = 2πr = 2π(33/π) = 66

Therefore, the circumference of the cylinder is 66 cm.

b) The radius of the cylinder is given by r = 33/π, which we already found in part a).

c) The area of one circular base can be found using the formula A = πr^2. Substituting the value of r from part b), we get:

A = π(33/π)^2 = 1089/π

Therefore, the area of one circular base is 1089/π cm^2.

d) The surface area of the cylinder consists of the curved surface area and two circular bases. The area of one circular base was found in part c), so we just need to add the curved surface area to twice the area of one circular base:

Surface area = 2A + 2πrh

Substituting the given values, we get:

Surface area = 2(1089/π) + 2π(33/π)(10) = 2187/π + 660

Therefore, the surface area of the cylinder is 2187/π + 660 cm^2.

Step-by-step explanation:

Cami's trophy rack has a volume of 2904 cubic inches.

In mathematics, volume is the amount of space within a particular 3D object. For example, an aquarium is 3 feet long, 1 foot wide, and 2 feet high. To find volume, multiply length with width and height. This is 3x1x2, or 6. To calculate the volume of Cami's trophy rack, you need to multiply the length, width, and height of the rack. Looking at the drawing provided, you can see that the shelf is 8 inches high, 11 inches wide and 33 inches long.

So the volume of the trophy rack is:

V = 8x11x33

V = 2904 cubic inches

Therefore, the Cami Trophy Rack has a volume of 2904 cubic inches. 

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Complete question is: Cami was building a shelf to put her trophies on. The drawing of her shelf is shown below.

11 inches

33 inches

8 inches

What is the volume of Cami's trophy shelf? (in cubic inches)

The hight above the first floor to second floor is 15 ft , for this we have Trigonometry angles.

Angles determined by the ratios of the trigonometric functions are known as trigonometric angles.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.

Given h = 60 ft, we have to find p

Sin 15° = p/h

0.25 = p/60

p = 15 ft

So, the hight above the first floor to second floor is 15 ft.

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Answer:

[tex]\frac{660}{4} = 165[/tex]  [tex]km/h[/tex]

Jina is taller than 90% of US women if her height is at least 67.3 inches. Jina's height is approximately 67.3 inches.

Jina's height can be found using the z-score formula: z = (x - μ) / σ, where x is Jina's height, μ is the mean height of US women, and σ is the standard deviation of the heights. We need to find the z-score such that the area under the normal curve to the right of it is 0.10 (since Jina is taller than 90% of the population).

Using a z-score table or a calculator, we find that the z-score corresponding to an area of 0.10 is approximately 1.28. Substituting into the z-score formula and solving for x, we get:

1.28 = (x - 64.5) / 2.2

x - 64.5 = 2.816

x = 67.316

Rounding to one decimal place, Jina's height is approximately 67.3 inches.

In other words, Jina is taller than 90% of US women if her height is at least 67.3 inches.

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The tοtal interest paid οver the full 40 years the Jacksοns have a lοan fοr the hοuse is apprοximately $137,986.85.

Tο sοlve this prοblem, we can use the fοrmula fοr a fixed-rate mοrtgage payment:

[tex]P = (Pv\times r) / (1 - (1 + r)^{(-n))[/tex]

Where:

Pv = present value οf the mοrtgage

r = mοnthly interest rate

n = tοtal number οf payments

a) Mοnthly payment οn the οriginal 5.75% mοrtgage:

Pv = $150,000

r = 5.75% / 12 = 0.004792

n = 30 years × 12 mοnths per year = 360

[tex]P = (150,000 \times 0.004792) / (1 - (1 + 0.004792)^{(-360))[/tex]

P ≈ $875.25

Therefοre, the mοnthly payment οn the οriginal 5.75% mοrtgage was apprοximately $875.25.

b) Remaining balance after 10 years:

Using an οnline amοrtizatiοn calculatοr οr fοrmula, we can find that the remaining balance after 10 years is apprοximately $111,138.77.

c) Interest paid during the first 10 years:

Using the same amοrtizatiοn calculatοr οr fοrmula, we can find that the tοtal interest paid during the first 10 years is apprοximately $54,316.57.

d) Mοnthly payment οn the refinance 4.375% mοrtgage:

Pv = $111,138.77

r = 4.375% / 12 = 0.003646

n = 30 years × 12 mοnths per year = 360

[tex]P = (111,138.77\times 0.003646) / (1 - (1 + 0.003646)^{(-360))[/tex]

P ≈ $554.62

Therefοre, the mοnthly payment οn the refinance 4.375% mοrtgage is apprοximately $554.62.

e) Tοtal interest paid οver the 30 year term οf the refinance:

Using the same amοrtizatiοn calculatοr οr fοrmula, we can find that the tοtal interest paid οver the 30 year term οf the refinance is apprοximately $82,670.28.

f) Tοtal interest paid οver the full 40 years:

Tο find the tοtal interest paid οver the full 40 years, we can add up the interest paid during the first 10 years and the interest paid οver the 30 year term οf the refinance:

Tοtal interest = $54,316.57 + $82,670.28

Tοtal interest = $137,986.85

Therefοre, the tοtal interest paid οver the full 40 years the Jacksοns have a lοan fοr the hοuse is apprοximately $137,986.85.

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The probability of at most one accident in the next 2 hours is 82.15%.

Let X be the number of car accidents in the next 2 hours, and Y be the number of motorcycle accidents in the next 2 hours. Both X and Y follow Poisson distributions, with rates of λX = 0.12 = 0.2 and λY = 0.052 = 0.1, respectively.

To find the probability that there will be at most one accident (either car or motorcycle) in the next 2 hours, we need to find the probability of the events {X + Y = 0} and {X + Y = 1}:

P(X + Y ≤ 1) = P(X + Y = 0) + P(X + Y = 1)

To find these probabilities, we can use the joint Poisson distribution of X and Y:

P(X = i, Y = j) = e^-(λX+λY) * (λXᵃ /a!) * (λYᵇ / b!)

where a and b are non-negative integers.

For X + Y = 0, we have:

P(X + Y = 0) = P(X = 0, Y = 0) = e⁻⁽⁰ ²⁺⁰ ¹⁾  * (0.2⁰ / 0!) * (0.1⁰ / 0!) = e⁻⁰ ³ ≈ 0.7412

For X + Y = 1, we have:

P(X + Y = 1) = P(X = 0, Y = 1) + P(X = 1, Y = 0) = e⁻⁽⁰ ²⁺⁰ ¹⁾ * (0.2⁰/ 0!) * (0.1¹/ 1!) + e⁻⁽⁰ ²⁺⁰ ¹⁾  * (0.2¹/ 1!) * (0.1⁰ / 0!) = 20.20.1*e⁻ ⁰ ³ ≈ 0.0803

Therefore, the probability of there being at most one accident (either car or motorcycle) in the next 2 hours is:

P(X + Y ≤ 1) ≈ 0.7412 + 0.0803 ≈ 0.8215

So the probability of there being at most one accident in the next 2 hours is about 82.15%.

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0.67032

The given data is that car accidents and motorcycle accidents on a stretch of road occur independently and are described by the Poisson distribution at a rate of 0.1 and 0.05 per hour respectively. It is required to find the probability that there will be at most one accident in the next 2 hours.The number of car accidents along the stretch of the road in the next 2 hours is a Poisson distribution with a mean of 0.1 x 2 = 0.2. Similarly, the number of motorcycle accidents in the next 2 hours is a Poisson distribution with a mean of 0.05 x 2 = 0.1.The probability that there will be at most one accident in the next 2 hours is:P(at most one accident in the next 2 hours)=P(no accident in the next 2 hours)+P(one accident in the next 2 hours)= e^(-0.2) (0.2)^0 / 0! + e^(-0.2) (0.2)^1 / 1! + e^(-0.1) (0.1)^0 / 0! + e^(-0.1) (0.1)^1 / 1!= 0.67032Therefore, the probability that there will be at most one accident in the next 2 hours is 0.67032.

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The charged battery costs 16 dollars, which is denoted as -16. (negative number). The cost for  the savings for using a battery that can be recharged is +14(positive number).

A battery is an electrical energy storage instrument made up of one or more electrochemical cells connected to the outside world. The cathode and anode of a battery are the positive and negative terminals, respectively, when the battery is supplying electricity.                            The battery costs 16 dollars. You save 14 dollars each time you recharge the battery.  The cost of the rechargeable battery as a negative number is -16.The savings for using a battery that can be recharged is +14

The charged battery costs 16 dollars, which is denoted as -16. (negative number). Each refresh saves 14 dollars, which is symbolised as +14. (positive number). The charged battery costs 16 dollars, which is denoted as -16. (negative number). The cost for  the savings for using a battery that can be recharged is +14(positive number).

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The response will be P(neither blue nor white) = 0, in accordance with the information provided.

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, in which the both the numerator and the denominator are divided. In a simple fraction, both are integers. The numerator or decrease of a complicated fraction contains a fraction. The numerator of an appropriate fraction is less than the denominator.

The total probability of all potential outcomes must equal 1. As P(blue) and P(white) are both 1, there cannot be any other card colors. P(neither blue nor white) is therefore equal to zero.

If there are additional cards of different colors and the information provided is insufficient or inaccurate, we can also apply the following formula:

P(neither blue nor white) = 1 - P(blue) - P(white)

Assuming that there are just three possible card colors (blue, white, and another color), the following equation can be constructed using the provided data:

P(blue) + P(white) + P(another color) = 1

P(white) and P(blue) are both 1, so we have:

1 + 1 + P(another color) = 1

When we simplify this equation, we obtain:

P(another color) = -1

The presented information does not support the notion that there are merely three possible card colors, hence this is not a legitimate probability. Hence, the only viable response is.

P(neither blue nor white) = 0

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The answer is 0/1, which can be simplified to 0.

what is probability?

Probability is a measure of the likelihood or chance of an event occurring.

If P(blue) and P(white) are both 1, it means that all the cards are either blue or white.

Let's assume there are a total of n cards. Then,

P(blue) + P(white) = 1

=> Number of blue cards + Number of white cards = n

Given that P(blue) = P(white) = 1, we can conclude that there are n/2 blue cards and n/2 white cards.

Therefore, the probability of choosing a card that is neither blue nor white is the probability of choosing a card of a different color. There are no other colors given, so we can assume that there are no cards of any other color.

Hence, the probability of choosing a card that is neither blue nor white is 0.

So, P(neither blue nor white) = 0.

Therefore, the answer is 0/1, which can be simplified to 0.

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Answer:

Step-by-step explanation:

D.The value of B is equal to -1

Answer:

I believe it's C.

Step-by-step explanation:

The correct equation of p is C. p(x) = x(x - 3)^2(2x + 7)^2. This is because the given polynomial has a zero of multiplicity 2 at x = 3, a zero of multiplicity 1 at x = 0, and a zero of multiplicity 2 at x = -7/2. Therefore, the equation of the polynomial can be written as p(x) = k(x - 3)^2(x)(2x + 7)^2, where k is some constant. Since the leading coefficient of the polynomial is 1, k = 1. Thus, we get the equation p(x) = x(x - 3)^2(2x + 7)^2.

It is option C and not A, B, or D because:

Option A, p(x)= x(x - 3)(2x + 7)^2, has only one factor of (x - 3), but the given polynomial has a factor of (x - 3) squared.

Option B, p(x) x^2(x - 3)(2x + 7), has an extra factor of x^2 that is not present in the given polynomial.

Option D, p(x)= x(x - 3)^2(2x + 7), is very close to the correct answer, but it is missing the factor of (x) that is present in the given polynomial.

Thus, the correct equation of p is C, p(x) = x(x - 3)^2(2x + 7)^2, which includes all the necessary factors and satisfies the given conditions.

Hope this helps you! I'm sorry if it doesn't. If you need more help, ask me! :]

The family needs 15 cubic feet of sand to fill the mold completely.

The volume of the square pyramid sand castle mold can be calculated as V = (1/3) * b² * h, where b is the length of one edge of the square base and h is the height from the base to the apex.

In this case, b = 3 feet and h = 5 feet.

Plugging these values into the formula, we get:

V = (1/3) * 3² * 5

V = 15 cubic feet

Therefore, the family needs 15 cubic feet of sand to fill the mold completely.

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Answer:

X AXIS WILL BE ON 4,2 AND Y AXIS WILL BE 4,2 ON BEHALF OF BOTH ANGLES HAVING QUADILATERAL AND THEN APPLY THEOREMS FOR THE EASY SOLUTIONS..

The general solution is given by: y = c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

The most general solution to the original nonhomogeneous differential equation can be found by adding the homogeneous solution and the particular solution together. That is,

y = y_h + y_p

= c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

This is the most general solution to the original nonhomogeneous differential equation. We can use the arbitrary constants c1 and c2 to find specific solutions for different initial conditions. The general solution is given by:

y = c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

This is the final answer. Note that we have used the terms "general solution" and "arbitrary constants" in our answer, as instructed.

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The correct answer is A. Definition of midsegment. In this step, the proof is demonstrating that the midsegment of a triangle is parallel to the median of the triangle.

A triangle is a three-sided polygon. It is one of the basic shapes in geometry. It has three sides and three angles, with the sum of the angles of a triangle being always 180 degrees. Triangles come in various shapes and sizes, and are classified by their angles or sides. Examples of triangle shapes include equilateral, isosceles and scalene.

The midsegment is defined as the line segment that connects the midpoints of two sides of the triangle. The median is defined as the line segment that connects a vertex of the triangle with the midpoint of the opposite side. Therefore, in order to prove that the midsegment is parallel to the median, the definition of the midsegment must be used. The definition of the midsegment states that it is the line segment that connects the midpoints of two sides of the triangle, which is necessary in order to prove that it is parallel to the median. Therefore, A. Definition of midsegment is the correct answer for this step in the proof.

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Answer:

1,4,5

Step-by-step explanation:

Jist Multiply these