Simplify and put in standard form: (12x5 + 10x3 - 8x4 - 6x +4) - (7x5 + 2x4 - 12+6x – 5x3 + x2 )

Answer: Scalene Right

Step-by-step explanation:

None of the side lengths are equal and there's a 90 degree angle

Answer:

13

Step-by-step explanation:

Use sin = opposite/hypotenuse

Setup an equation. I'm going to use x to represent the hypotenuse.

\(sin44=\frac{9}{x}\)

Now move the x to the other side by multiplying. We want to solve for x.

\(x(sin44)=(\frac{9}{x})x\)

The x cancels on the right side. Now divide both sides by sin44. To get  by itself on the left.

\(\frac{x(sin44)}{sin44} = \frac{9}{sin44}\)

\(x = \frac{9}{sin44}\)

Use your scientific calculator, make sure it is on degrees, and divide 9 by sin44.

\(x = 12.9560088566\)

Round to the nearest whole number

\(x = 13\)

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

Learn more about radicals here:

https://brainly.com/question/12739054

#SPJ1

Given the sequence:

1, 1, 2, 6, 24

Let's fill in the sequence.

Here, we can see that the nth term is equal to the pprevious term multiplied by n.

First term: 1 x 1 = 1

Second term: 1 x 2 = 2

Third term: 2 x 3 = 6

Fourth term: 6 x 4 = 24

Fifth term: 24 x 5 = 120

Sixth term: 120 x 6 = 720

Seventh term: 720 x 7 = 5040

8th term: 5040 x 8 =40320

Hence, the sequence is:

1, 1, 2, 6, 24, 120, 720, 5040, 40320

The explicit formula of the sequence is:

For example to find the 6th term, we have:

We can see the 6th term is 720.

For the recursive formula, we have:

ANSWER:

Sequence: 1, 1, 2, 6, 24, 120, 720, 5040, 40320

Explicit formula:

Recursive formula:

The distance travelled in the first 14 seconds would then be 3.57 x 14 = 49.98 metres.the acceleration would be 7.14 - 3.57 = 3.57 metres per second squared.

Distance is the numerical measurement of how far apart two objects are. It is measured in units such as kilometers, meters, miles, feet, inches, and more. Distance can be calculated in one, two, or three dimensions. Distance is a key factor in many real-world applications, such as navigation, transport, and communication. Distance can also be used to describe relationships, such as the connection between two people.

A)To work out the distance travelled on a cycle in the first 14 seconds, we must first determine the velocity of the cycle. This can be done by dividing the distance travelled by the time taken. For example, if the cycle travelled 50 metres in 14 seconds, the velocity would be 50 / 14 = 3.57 metres per second. The distance travelled in the first 14 seconds would then be 3.57 x 14 = 49.98 metres.

B) To work out the acceleration speed in the first 4 seconds, we must first determine the change in velocity over the period of time. We can do this by subtracting the initial velocity from the final velocity. For example, if the cycle started at a velocity of 3.57 metres per second, and increased to 7.14 metres per second after 4 seconds, the acceleration would be 7.14 - 3.57 = 3.57 metres per second squared.

To know more about distance click-

brainly.com/question/23848540

#SPJ1

complete question with diagram is

Question A) Work out the distance travelled on a cycle in the first 14 seconds. Q B) Work out thr acceleration speed in the first 4 seconds.

diagram shows trapezium in graph with velocity at y axiz and time at x axis

Answer:

If the two polygons are similar, then their sides are proportianal.

We see that sides in the larger polygon are two times as long as the sides of the smaller polygon.

So, if the larger polygon has a side length of 13, then the smaller polygon would have a side length of 13/2, or 6.5

Let me know if this helps!

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

For more question on square visit:

https://brainly.com/question/428672

#SPJ8

Answer:

Larry’s graph is incorrect.He should used a closed circle at -5

Step-by-step explanation:

Answer:

A)Larry’s graph is incorrect. He should have used a closed circle at –5.

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

The formula ax + by = c for y = \(y = \frac{c}{b}- \frac{ax}{b}\).

Given formula:

ax + by = c

Subtract ax

from both sides of the equation.

by = c − ax

Now divide each term in by= c − ax by b and simplify.

Divide each term in by = c − ax by b.

\(\frac{by}{b} = \frac{c}{b} +\frac{-ax}{b}\)

Simplify the left side.

Cancel the common factor of b.

Cancel the common factor and divide y by 1.

\(y = \frac{c}{b} +\frac{-ax}{b}\)

Now Simplify the right side.

\(y = \frac{c}{b}- \frac{ax}{b}\)

Hence the answer is the formula ax + by = c for y = \(y = \frac{c}{b}- \frac{ax}{b}\).

To learn more about expressions click here https://brainly.com/question/22048677

#SPJ4

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

Answer:

the median is increased from 7 to 7.5

Answer:

It lies between 5 and 6

Step-by-step explanation:

\({ \tt{ \sqrt{30} = \sqrt{5 \times 3 \times 2} }} \\ \\ x={ \tt{ \sqrt{5} \times \sqrt{3} \times \sqrt{2} }} \\ \\ { \boxed{ \tt{= 5 < x < 6}}}\)

x is the root of 30

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

Learn more about percentage on:

brainly.com/question/843074

#SPJ1

Answer: D.

Step-by-step explanation: 2x squared - 2x squared cancel each other out. 4x-2x is 2x. -6-8 is -14. Then, put the answers together. Therefore, the final answer is 2x-14. Brainliest plz

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

Learn more about data points from

https://brainly.com/question/30588709

#SPJ1

The value of x, y, and z for the train and number of passengers are 0, -32, and 32 respectively.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

The total number of trains are 20. This is represented as:

x + y + z = 0  

The accommodation of passengers is represented as:

2x + 3y + 5z = 64......(2)

During market day the train used is:

3x + 2y + 4z = 64.......(3)

Multiply the equation 2 with 3 and equation 3 with 2:

6x + 9y + 15z = 192

6x + 4y + 8z = 128

Subtract the two equations:

5y + 7z = 64..........(4)

Multiply the first equation by 2:

2x + 2y + 2z = 0

2x + 3y + 5z = 64.

Subtract the two equations:

-y - 3z = -64

y + 3z = 64..........(5)

Multiply the equation 5 by 5.

5y + 15z = 320

5y + 7z = 64

Subtract the two equations:

8z = 256

z = 32

Substitute the value of z in equation 5:

y + 3z = 64.

y + 3(32) = 64

y + 96 = 64

y = - 32

Using equation 1:

x + y + z = 0

x - 32 + 32 = 0

x = 0

Hence, the value of x, y, and z are 0, -32, and 32 respectively.

Learn more about equations here:

https://brainly.com/question/29657988

#SPJ1

Answer: $1,540,194.30 .

Step-by-step explanation:

The formula to calculate the accumulated amount earned on principal (P) at rate of interest (r)[ in decimal] compounded monthly after t years :

\(A=P(1+\dfrac{r}{12})^{12t}\)

Given:  P= $425,000

r= 4.3% = 0.043

t= 30 years

\(A=425000(1+\dfrac{0.043}{12})^{12(30)}\\\\=425000(1.003583)^{360}\\\\=425000\times3.62398657958\approx1540194.30\)

Hence, the payment would be $1,540,194.30 .

Therefore, the number of days required for 15 people to complete the project is 15 × 3 = 45 days. Hence, the answer is 45 days.

Given that 45 people in a certain company can work together to finish a project in 15 days.Assuming that all people have the same level of productivity, let the total work be W.

Therefore, the work done by the 45 people in 1 day is W/15 and the work done by 1 person is (W/15)/45 = W/675.Assuming that the company decided to use 15 people for the same workload, let the number of days be x.

Therefore, the work done by the 15 people in 1 day is W/x and the work done by 1 person is (W/x)/15 = W/15x.Since the workload is the same, we have W/675 × 10 = W/15x. Solving this equation for x, we get:x = 45 × 10/3 = 150 days.

Therefore, if 15 people are used, the project will take 150 days to complete. Hence, the answer is 150 days.

Alternatively, we can use the concept of man-days, which states that the work done is directly proportional to the number of people and the number of days.

Let M be the number of man-days required to complete the project. Then, we have:

M = 45 × 15 = 15 × 15p,

where p is the number of days required when 15 people are used.Solving this equation for p, we get

:p = (45 × 15)/(15 × 15) = 3/1 = 3 days per person.

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

The inequality which represents the constraints of the range is D. p(m) ≥ -875

Since the PTA was doing fundraiser and bought 500 megaphones to sell for the pep rally, and the profit, p, from the sale of megaphones can be represented by p(m) = 3.5m - 875 where m = number of megaphones sold.

To find the inequalities represents the constraints of the range of p(m), we need to know the domain of m.

Since we have 500 megaphones and we can sell from 0 to 500 inclusive. So, the domain of m is 0 ≤ m ≤ 500.

To determine the range of p(m), we insert the values of m at its extreme points into p(m).

So, when m = 0

p(m) = 3.5m - 875

p(0) = 3.5(0) - 875

p(0) = 0 - 875

p(0) = -875

when m = 500

p(m) = 3.5m - 875

p(500) = 3.5(500) - 875

p(500) = 1750 - 875

p(500) = 875

Since for a profit, m ≥ 0. So, p(m) ≥ p(0) = -875

So, p(m) ≥ -875

So, the inequality which represents the constraints of the range is D. p(m) ≥ -875

Learn more about inequalities here:

https://brainly.com/question/17457213

Answer:

Set your calculator to Degree mode.

55^2 = 90^2 + 50^2 - 2(90)(50)cos(C)

3,025 = 10,600 - 9,000cos(C)

-7,575 = -9,000cos(C)

cos(C) = 101/120

C = cos^-1 (101/120) = 32.7°

Answer:

A and A that is the answer

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

For more such questions on points, click on:

https://brainly.com/question/26865

#SPJ8

Answer:

\(\frac{1}{r^{7} + 8^{12}}\)

Step-by-step explanation:

We need to make the negative exponents positive my puting it over one.

so:

\(r^{-7} + 8^{-12}\\ =\frac{1}{r^{7} + 8^{12}}\\ =\frac{1}{r^{7} + 68719476736}\\\)            <--- This answer could be right.

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

To learn more about : depth

https://brainly.com/question/1441593

#SPJ8