y/4-x/5=6 and x/15+y/12=0 help please

The given function is:y = −3 + (1/cos(xx - ²))³ = - 3 + (1/cos(x- ²))³The function is shifted 2 units to the right.Phase shift, P = 2 Final answer:Period: 2πAmplitude: 1 Phase shift: 2

Given function is

y = −3 + (1/cos(xx - ²))³Period:

Period is the distance after which the function will repeat itself. For finding the period of the given function, use the formula:

T = 2π/b

Where T = period and b is the coefficient of x Here the coefficient of x is 1 Period,

T = 2π/1 = 2πAmplitude:

Amplitude of the given function can be determined by observing the graph of the function or it can be calculated using the formula

A = |1/b|

Here b is the coefficient of cosx, which is 1.Amplitude, A = |1/b| = 1Phase Shift:The general form of cosine function is:

y = A cos (bx - c) + d

Here A is the amplitude, b is the coefficient of x, c is the phase shift and d is the vertical shift. Phase shift is the horizontal shift of the graph of the given function.The given function is:

y = −3 + (1/cos(xx - ²))³ = - 3 + (1/cos(x- ²))³

The function is shifted 2 units to the right.Phase shift, P = 2 Final answer:

Period: 2πAmplitude: 1 Phase shift: 2

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The sketch of the polynomial function f(x) = x^3 + x^2 - 9x - 9 has a left-hand behavior that starts up and a right-hand behavior that ends down. It has a y-intercept of (0, -9), and its real zeros are x = -3, -1, and 3, each with a multiplicity of 1. The value of y at x = 22 is 10847.

Here is the four-step process to sketch the polynomial function f(x) = x^3 + x^2 - 9x - 9:

Step 1: Find the end behavior of the function

As x approaches negative infinity, f(x) approaches negative infinity because the leading term x^3 dominates. As x approaches positive infinity, f(x) approaches positive infinity because the leading term x^3 still dominates.

Step 2: Find the y-intercept

To find the y-intercept, we set x = 0 and evaluate f(0) = (0)^3 + (0)^2 - 9(0) - 9 = -9. Therefore, the y-intercept is (0, -9).

Step 3: Find the real zeros of the polynomial

We can use synthetic division or factor theorem to find the zeros of the polynomial:

Using synthetic division with x = -3, we get (x+3)(x^2 - 2x - 3), indicating that x = -3 is a zero of multiplicity 1.

Factoring x^2 - 2x - 3, we get (x-3)(x+1), indicating that x = -1 and x = 3 are also zeros of multiplicity 1.

Therefore, the real zeros of the polynomial are x = -3, -1, and 3.

Step 4: Determine the multiplicity of each zero

The zero located farthest left on the x-axis is x = -3, which has a multiplicity of 1.

The zero located between the leftmost and rightmost zeros is x = -1, which also has a multiplicity of 1.

The zero located farthest right on the x-axis is x = 3, which has a multiplicity of 1.

To evaluate a test point, we can choose any value of x and evaluate f(x). Let's choose x = 22. Then, f(22) = (22)^3 + (22)^2 - 9(22) - 9 = 10847.

Therefore, the sketch of the polynomial function f(x) = x^3 + x^2 - 9x - 9 has a left-hand behavior that starts up and a right-hand behavior that ends down. It has a y-intercept of (0, -9), and its real zeros are x = -3, -1, and 3, each with a multiplicity of 1. The value of y at x = 22 is 10847.

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Answer:

x = 4

Step-by-step explanation:

plug in -6 to y and you get

4x + -6 = 10

+6 +6

4x = 16

÷4 ÷4

x = 4

then check

4(4) + (-6) = 10

16 + (-6) or 16 - 6 = 10

therefore x = 4

Answer:4 Step-by-step explanation:bc khan

Therefore, the displacement of the wheel during this interval is approximately 141.372 cm.

To find the displacement of the wheel during this interval, we need to determine the distance traveled by a point on the rim of the wheel.

Given:

Radius of the wheel: 45.0 cm

The wheel rolls without slipping

The wheel rolls through one-half of a revolution

Since the wheel rolls without slipping, the distance traveled by a point on the rim of the wheel is equal to the circumference of the wheel for each complete revolution. Therefore, the distance traveled for one-half of a revolution is equal to half the circumference of the wheel.

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.

Using the given radius of the wheel, we can calculate the circumference:

C = 2π(45.0 cm) ≈ 2π(45.0) cm ≈ 282.743 cm (rounded to three decimal places)

Since the wheel rolls through one-half of a revolution, the displacement is equal to half the circumference of the wheel:

Displacement = 0.5 × 282.743 cm ≈ 141.372 cm (rounded to three decimal places)

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The wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

We must ascertain the wheel's distance traveled and the displacement's direction.

Since the wheel has completed one-half of a revolution, the distance it has gone is equal to half its circumference. The formula: can be used to determine a circle's circumference:

Circumference = 2 * π * radius

In this case, the radius of the wheel is 45.0 cm. Let's calculate the circumference:

Circumference = 2 * π * 45.0 cm

Circumference ≈ 2 * 3.14 * 45.0 cm

Circumference ≈ 282.6 cm

So, the distance traveled by the wheel is approximately 282.6 cm.

The wheel's displacement is the angular separation between its starting point, where it first makes contact with the ground, and its finishing point, where it stops after rolling through one-half of a rotation. The point of contact with the floor does not move since the wheel is moving without slipping.

Therefore, the wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

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Answer:

Length = 8 meters

Width = 6 meters

Step-by-step explanation:

Given the following information:

Perimeter of a rectangular vegetable patch: 2(L + W) = 28 meters

Area = L × W = 48 m²

We can solve for the dimensions by using both equations.

First, let's use the formula for the perimeter of the rectangular vegetable patch, and isolate one of the given variables:

2(L + W) = 28

Divide both sides by 2:

\(\frac{2(L + W)}{2} = \frac{28}{2}\)

L + W = 14

Subtract W from both sides to isolate L:

L + W - W = 14 - W

L = 14 - W

Next, we'll take the formula for the area, and substitute the value for the L from our previous step:

A = 48  =  L × W

48  = W × (14 - W)

Distribute W into the parenthesis:

48 = 14W - W²

Add W² and subtract 14W to both sides:

W² - 14W + 48 = 14W - 14W - W² + W²

W² - 14W + 48 = 0   ⇒ This represents a quadratic equation in standard form. We can use the coefficient and constant values to solve for its roots.

a = 1, b = -14, and c = 48

Substitute these values into the quadratic equation:

\(x = \frac{-b +/- \sqrt{b^{2}-4ac}}{2a}\)

\(x = \frac{14 +/- \sqrt{(-14)^{2}-4(1)(48)}}{2(1)}\)

\(x = \frac{14 +/- \sqrt{196-192}}{2}\)

\(x = \frac{14 +/- \sqrt{4}}{2}\)

\(x = \frac{14 + 2}{2}\), \(x = \frac{14 - 2}{2}\)

x = 8, x = 6

Now, we can substitute these values into the formulas for the perimeter and area to find the true dimensions of the rectangular vegetable patch.

Perimeter: 2(L + W) = 2(8 + 6) = 28 meters

Area = L × W = 8 × 6  = 48 m²

Therefore, the dimensions of the rectangular vegetable patch are:

Length = 8 meters

Width = 6 meters

Dimensions: 8 × 6 meters.

Yes, the "between" the 6s in 6.642 and 66.83 is different. The first 6 is in the tenths place, while the second 6 is in the units place. Their positions in the numbers significantly affect their values and overall significance.

In decimal notation, the position of a digit determines its place value. The first 6 in 6.642 is in the tenths place, meaning it represents 6/10 or 0.6. On the other hand, the second 6 in 66.83 is in the units place, which means it represents the whole number 6. Therefore, the two 6s differ in their respective values and contributions to the overall magnitude of the numbers.

The positional value of a digit determines its significance in a number. Moving a digit one place to the left or right changes its value by a factor of 10. In the case of 6.642, the second 6 has less significance since it represents a smaller fraction of the overall number compared to the first 6. The positional difference between the two 6s affects the relative magnitude and interpretation of the numbers. It is important to consider the specific place value of each digit when analyzing or comparing numbers.

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Answer:

Step-by-step explanation:

A fair coin means that there is a 50% probability of heads and a 50% probability of tails.

Playing the game 300 times means that Mason will approach theoretical probability.

Therefore, playing 300 times, he should expect to win 50% of the time, so 50% x 300 = 150 times.

Mason should expect to win 150 times.

According to the given statement Lauren purchased 29 gallons of gas at Quickflick.

To find out how many gallons of gas Lauren purchased at Quickflick,

we can set up a system of equations. Let's let x be the number of gallons she bought at Quickflick.

From the given information, we know that the total number of gallons she bought at both gas stations is 34.5.

Therefore, the number of gallons she bought at Gasstop would be (34.5 - x).

Now, we can set up the equation based on the cost of gas.

At Gasstop, the gas cost $2.80 per gallon, so the cost of gas bought at Gasstop would be (2.80 * (34.5 - x)).

At Quickflick, the gas cost $2.88 per gallon, so the cost of gas bought at Quickflick would be (2.88 * x).

According to the given information, the total amount she spent on gas is $97.92.

Therefore, we can set up the equation:

(2.80 * (34.5 - x)) + (2.88 * x) = 97.92

Now, we can solve this equation to find the value of x,

which represents the number of gallons she purchased at Quickflick.

Simplifying the equation:

95.6 - 2.8x + 2.88x = 97.92

Combining like terms:

0.08x = 2.32

Dividing both sides by 0.08:

x = 29

Lauren purchased 29 gallons of gas at Quickflick.

Therefore, Lauren purchased 29 gallons of gas at Quickflick.

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The solution of the integral are:

(a) ∫tanx secx dx = sec(x) + C,

(b) \(\int\limits{ \frac{y^3}{(1 - 2y^4)^5} \, dy = -\frac{1}{32(1 - 2y^4)^4}\)

What is integral?

Integrals are used to evaluate such quantities as area, volume, work, and, in general, any quantity that can be interpreted as the area under a curve.

We have given,

∫tanx *secx dx = ?

∫y³/(1-2y⁴)⁵ dy = ?

∫tan(x)sec(x)dx

Rewrite the expression

∫ sin(x)/cos²(x) dx

Use the substitution dx = − 1/sin(x) dt to transform the integral

∫ sin(x)/cos²(x) ×(− 1/sin(x))dt

Simplify

∫− 1/cos²(x)dt

Use the substitution t=cos(x) to transform the integral

∫−t⁻²dt

= −(−t⁻¹)

Calculate

t⁻¹

Substitute back

1/cos(x)

Rewrite the expression

1 × sec(x)

Multiply the terms

sec(x)

Solution

sec(x) + C,  C ∈ R

∫y³/(1-2y⁴)⁵ dy =

\(= \int\limits {-\frac{1}{8u^5} } \, du\)

\(= \frac{1}{8} \int\limits {-\frac{1}{u^5} } \, du\)

\(= \frac{1}{8} (-\frac{1}{4u^4} )\)

by substituting u = (1 - 2y⁴)⁴

\(= \frac{1}{8} (-\frac{1}{4(1-2y^4)^4} )\)

\(= -\frac{1}{32(1 - 2y^4)^4}\)

Hence, the solution of the integral are:

(a) ∫tanx secx dx = sec(x) + C,

(b) \(\int\limits{ \frac{y^3}{(1 - 2y^4)^5} \, dy = -\frac{1}{32(1 - 2y^4)^4}\)

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Answer:

y is -4.55

Step-by-step explanation:

Answer:

9 would be the correct solution to this question?

By distributive property (5k + 2m)(3p + 4s) this we get   15kp + 20 ks + 6mp +8ms.

It is possible to multiply a single value by two or more values enclosed in a set of parenthesis using the distributive property, an algebraic property.

According to the distributive property, it is necessary to multiply each of the two terms by the factor when adding two terms to a factor. Only then may the addition operation be done. The following is a symbol for this property:

A (B+ C)=AB + AC

When there are three distinct values for A, B, and C.

Example : (5k + 2m)(3p + 4s)

Apply FOIL method:

(a + b) (c + d) = ac + ad + bc + bd

(5k + 2m)(3p + 4s) = 5k . 3p + 5k. 4s + 2m. 3p + 2m . 4s

5k . 3p + 5k. 4s + 2m. 3p + 2m . 4s

Simplify 5k . 3p + 5k . 4s + 2m .3p + 2m .4s : 15kp + 20 ks + 6mp +8ms

= 15kp + 20 ks + 6mp +8ms.

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Justin has sold 5 popsicles so from the original 9 if we take away 5, he has 4 popsicles left to eat.

Answer:

\(Area = 9.405\)

Step-by-step explanation:

Given

\(x = 20^\circ\)

\(b =11\)

\(c = 5\)

See attachment for triangle

Required

Calculate the area

The area is calculated as:

\(Area = \frac{1}{2}*ab*sinC\)

In this case, it is:

\(Area = \frac{1}{2}*bc*sinX\)

So, we have:

\(Area = \frac{1}{2}*11 * 5*sin(20^\circ)\)

\(Area = \frac{1}{2}*11 * 5*0.3420\)

\(Area = \frac{1}{2}*18.81\)

\(Area = 9.405\)

The equation which represents total pay P and the number of copies sold N is P = 2300 + 90N and the total pay for 22 copies sells will be $4280.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Total pay = base salary + additional

Total pay = base salary + number of copies × per copy price

P = 2300 + N × 90

P = 2300 + 90N

Now for 22 copies

P = 2300 + 90(22) = $4280

Hence, the equation which represents total pay P and the number of copies sold N is P = 2300 + 90N and the total pay for 22 copies sells will be $4280.

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Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.

To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:

The first number, 5, is the sum of the second and third numbers (2 + 1).

The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).

The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).

The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).

The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).

The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).

Based on this pattern, we can deduce that the missing values are 5 and A.

Now, let's calculate the missing value:

m + A = 5

To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

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Mr. Alvarez can make a total of 18 complete pillows with 12.5 yards of fabric.

To determine the number of complete pillows that can be made with 12.5 yards of fabric, we need to divide the total fabric by the amount of fabric required for each pillow.

Each pillow requires 2/3 of a yard of fabric.

To calculate the number of complete pillows, we divide the total fabric available by the fabric required per pillow:

Number of pillows = Total fabric / Fabric required per pillow

Number of pillows = 12.5 yards / (2/3) yards

To divide by a fraction, we multiply by its reciprocal:

Number of pillows = 12.5 yards * (3/2) yards

Calculating this, we have:

Number of pillows = (12.5 * 3) / 2

Number of pillows = 37.5 / 2

Number of pillows = 18.75

Since we can't have a fraction of a pillow, we need to round down to the nearest whole number ≈ 18

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To find the general solution of the differential equation 4y - 4y' - 3y = 0, we can rearrange the equation as follows:

4y - 4y' - 3y = 0

4y - 3y - 4y' = 0

y(4 - 3) - 4y' = 0

y - 4y' = 0

y(1 - 4') = 0

y - 4y' = 0

Now, we can solve the homogeneous linear differential equation y - 4y' = 0. We assume a solution of the form \(y = e^(rt),\) where r is a constant.

Substituting this into the differential equation, we get

\(e^(rt) - 4re^(rt) = 0\)

\(e^(rt)(1 - 4r) = 0\)

For the equation to hold for all values of t, we must have

1 - 4r = 0

Solving for r, we find r = 1/4.

Therefore, the general solution of the differential equation is:

\(y(t) = C1e^(1/4t)\)

where C1 is the constant of integration.

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Answer:

B

Step-by-step explanation:

Answer:

C. 15800 to spare

Step-by-step explanation:

All you have to do is add up the total money he has to spend  money, then you add up the total cost, and subtract the total money he has to spend by the total cost, and you're left with he has 15,800 left to spare. ;)

He should make a loan from the investors about 4.6%..

To determine the volume or chance of commodity in terms of 100, use the chance formula. Per cent simply means one in a hundred. With the chance formula, a number between 0 and 1 can be expressed. A number that's expressed as a bit of 100 is what it is. It's substantially used to compare and determine rates and is represented by the symbol.

Total quantum plutocrat Korey have

= Saving plutocrat heritage plutocrat

= $,500$,000

= $,500

Total quantum of charges

= Store Fixtures amount + Computer and Cash Register amount + Inventory  amount +Rent amount + Insurance amount

=  $2700 + $1200 + $17400 +$10800 + $3000

= $35100

So, Fund taken through loans and investor

= Total quantum of charges -Total quantum plutocrat Korey have

= $ 35100-$ 33500

= $ 1600

and, the percentage is

= 1600 x 100 / 35100

= 4.6%

He should make a loan from the investors about 4.6%.

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Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer:

99/6=16.5 per pizza

have u good day

Answer:

16 and a half, ($16.50)

Step-by-step explanation:

99 / 6 = 16.5

We know that taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

A way to build good credit is by paying bills when they are due. Additionally, using only secured loans can also help build good credit, as these loans require collateral and can be easier to qualify for.

Using only credit cards can also be a way to build good credit, as long as the cards are used responsibly and payments are made on time.

However, taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

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Integer: 12

Irrational numbers: -2√10 and √20

Rational numbers: 17/4, 0.25, and -77/11.

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

There are rational and irrational numbers in the image.

The numbers can be written in the form of p/q, where q is never zero is rational numbers.

And rest of the numbers are irrational numbers.

So, the solutions are given in the image below.

√144 = 12

0.25 = 25/100 = 1/4

Therefore, the solutions are given in the image below.

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Answer:

2:1

2:5

4:3

Step-by-step explanation:

In these examples the comparison words "per", "to", "for every" is the colon.

Then just put the numbers in the same order they are in in the problem

1. Two cookies per student. __:__

Means 2 cookies per 1 student

We're writing the ratio

cookies:students

2:1

2. The odds of the horse winning the race are 2 to 5. __:__

The "to" is the colon

2:5

3. Colorado State University, there are 4 female students for every 3 male students. __:__

We are comparing

female:male

4:3

The solution of the piecewise function at the given values of the independent variable g(0) is 5, g(-7) is 12 and g(2) is 7.

This is an example of a piecewise function, which is a function composed of two or more parts, each part being defined by a separate equation.

In this function, the first part is defined as g(x) = x+5 if x >= -5, and the second part is defined as g(x) = -(x+5) if x < -5.

To evaluate the function at the given values of the independent variable, we can simply substitute the values into the appropriate equation.

At x = 0,

=> g(0) = 0+5 = 5.

At x = -7,

=> g(-7) = -(-7+5) = 12.

And at x = 2,

=> g(2) = 2+5 = 7.

Therefore, the values of the function are 5, 12, and 7 respectively

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The United States will have 16 additional​ shirt(s) after the trade ​(enter a numeric response using an​ integer) and 0 additional​ boot(s). At the same​ time, Canada will be able to consume 14 additional​ shirt(s) as a result of the trade and 0 additional​ boot

With Alaska in the northwest and Hawaii extending the country's reach into the Pacific Ocean, the United States is a confederation of 50 states that encloses a sizable portion of North America. Significant Atlantic Coast cities include Washington, DC, and New York, a centre of international culture and economics. Chicago, a major city in the Midwest, is renowned for its significant architecture, whereas Hollywood, near Los Angeles on the west coast, is renowned for its film production.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

The US will consume 16 shirts with trade. (4+12=16 and 16-2=14) The US will have 14 additional shirts.

With commerce, the US will consume 18 boots. 18-18=0

0 additional boots.

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Answer:

y = 45

I hope this is the answer you are looking for

Step-by-step explanation:

Answer: There is no solution for this equation

Step-by-step explanation: