write 1001 in binary form​

The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

For similar questions on Equivalent

https://brainly.com/question/2972832

#SPJ11

Answer:

Step-by-step explanation:

1. Domain: {-5, -3, 0, 4}

   Range: {-2, -1, 7}

 Function? No

2. Domain: {-6, -3, 0, 1, 4}

    Range: {-5, -2, 5, 7}

    Function: Yes

3. Domain: {-3, -2, -1}

  Range: {-9, -1, -6)

Function: No

Answer:

9a^2 + 42a + 49

Step-by-step explanation:

expand to (3a+7) (3a+7) then distribute then combine like terms

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

When substituting side lengths into the theorem, it is important to ensure that the appropriate values are used.

The length of the hypotenuse must always be substituted for the "c" value in the equation, while the lengths of the other two sides must be substituted for "a" and "b".

This is because the hypotenuse is always the longest side of the triangle, and it is necessary to use the correct values in order to correctly calculate the length of this side.

Using incorrect values may result in an incorrect calculation and a wrong answer.

To know more about Pythagorean Theorem visit:

https://brainly.com/question/14930619

#SPJ11

Answer:

x = 3.

Explanation:

Line TP = Line QR = 9.

And Line SP = Line ST = 6.

Subtract both to get Line RT.

9 - 6 = x = 3

m<TSU=85°

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

The ladder reaches the height of approximately 16.03 feet up the wall. (Rounded to the nearest hundredth of a foot)

We can use trigonometry to solve this problem. Let h be the height up the wall that the ladder reaches, and let θ be the angle that the ladder makes with the ground. We know that the length of the ladder (hypotenuse) is 16 feet and the angle θ is 78 degrees.

We can use the trigonometric function tangent (tan) to find the height h:

tan(θ) = opposite/adjacent

In this case, the opposite side is the height h, the adjacent side is the distance from the ladder to the wall (which is the same as the distance from the wall to Lauren), and the angle θ is 78 degrees. So we have:

tan(78°) = h/x

where x is the distance from the ladder to the wall. Solving for h, we get:

h = x * tan(78°)

We don't know the value of x, but we can use the fact that the ladder is 16 feet long to find it. Using the Pythagorean theorem, we have:

x^2 + h^2 = 16^2

Substituting h = x * tan(78°), we get:

x^2 + (x * tan(78°))^2 = 16^2

Simplifying, we get:

x = 16 / √(1 + tan^2(78°))

x ≈ 3.83 feet

Finally, we can substitute x into our equation for h:

h = x * tan(78°)

h ≈ 16.03 feet

Therefore, the ladder reaches approximately 16.03 feet up the wall. Rounded to the nearest hundredth of a foot, the answer is 16.03 feet.

To know more about Height:

https://brainly.com/question/25961201

#SPJ4

Answer:

-10

Step-by-step explanation:

-4 - 5 + 4 + (-5)

-9 + 4 - 5

-5 - 5 =

-10

Answer:

-10

Step-by-step explanation:

the answer is -10

combine the negatives to get -14

and positives to get 4

so you have -14+4=-10

Answer:

g-6=b

hope this helps

The value is 10.81

From the question, we have

\(\sqrt{3^{4} +6^{2} } \\=\sqrt{81+36 }\\=\sqrt{117 }\\ = 10.81\)

The value is 10.81

Addition:

When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.

To learn more about addition visit: https://brainly.com/question/680614

#SPJ1

Answer:

6

Step-by-step explanation:

isolate the x

divide both sides by 4

x = 24/4

x=6

Step-by-step explanation:

\({\large{\boxed{{Question}}\)

Solve the equation for x.

\(4x=24\)

Since we want to know the exact value of \(x\) we divide both sides by 4

\(4x\div4=24\div4\\\\{\boxed{x=6}\)

Answer:

60 divide by 1656 is 0.0416

Step-by-step explanation:

The solution to the given ODE dy/dt = 2y with the initial condition y(5) = 3 over the domain [0, 5] is y(t) = (3 / exp(10)) × exp(2t).

The ODE dy/dt = 2y represents a simple exponential growth equation. The general solution to this ODE is given by y(t) = y0 × exp(2t), where y0 is the constant determined by the initial condition. In this case, the initial condition is y(5) = 3.

To find the specific solution, we substitute the initial condition into the general solution and solve for y0. Substituting y(5) = 3 into y(t) = y0 × exp(2t), we get 3 = y0 × exp(2 × 5), which simplifies to y0 = 3 / exp(10).

Thus, the solution to the ODE with the given initial condition is y(t) = (3 / exp(10)) × exp(2t).

This solution describes the behavior of the function y(t) over the interval [0, 5], showing exponential growth with a rate determined by the coefficient 2 in the ODE.

Learn more about Ordinary Differential Equation

brainly.com/question/30257736

#SPJ11

268 cm^2

Step-by-step explanation:

Find the SA of the purple rectangular prism:

LEFT FACE EXCLUDED

Front: (6)(2) = 12 cm^2

Back: 12 cm^2

Top: (7)(2) = 14 cm^2

Bottom: 14 cm^2

Right: (7)(6) = 42 cm^2

TOTAL: 94 cm^2

SA of the pink triangular prism:

RIGHT FACE EXCLUDED

Front: (1/2)(6)(8) = 24 cm^2

Back: 24 cm^2

Bottom: (7)(8) = 56 cm^2

Left: (10)(7) = 70 cm^2

TOTAL: 174 cm^2

Add both SAs of figures:

174 + 94 = 268 cm^2

The vertical shift of the given expression involving tangent would be B. -3.

To find the vertical shift of the function y = -3 + tan(1/2(θ + π/2)), we look at the constant term that is added or subtracted from the trigonometric function. The vertical shift is the value that moves the graph of the function up or down on the coordinate plane.

In this case, the constant term is -3, which means the vertical shift is -3. This indicates that the graph of the function is shifted 3 units downward.

Find out more on vertical shift at https://brainly.com/question/26029487

#SPJ1

Answer:

8x^3 -4x^2 -2x-15

Step-by-step explanation:

Answer:

180 maybe ...........

Answer:

A. The tree provides shelter for the ants, and the ants help the tree to stay alive

the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.

First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.

Next, we can use the formula for transforming a z-score to a raw score:

raw score = z-score * standard deviation + mean    

Substituting the values given in the problem, we get:

raw score = 1.48 * 6.1 + 76.4

raw score = 85.48

Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.

In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.

To know more about  normal distribution click here:

brainly.com/question/29509087

#SPJ4

Answer:

(3, -1)

Step-by-step explanation:

When reflecting over the x-axis, you take the opposite of the y coordinate.

(3, 5) -----> (3, -5)

When you translate up that means the point is going up the y-axis, so add 4 to the y coordiante.

(3, -5) ------> (3, -5 + 4) -------> (3, -1)

The fractions equivalent to 6/12 are 6/12, 2/4, and 1/2.

1. 4/6: To see if these fractions are equivalent, we can simplify 6/12. Divide both the numerator and the denominator by their greatest common divisor, which is 6. 6/12 ÷ (6/6) = 1/2. Now, simplify 4/6 by dividing both by their greatest common divisor, which is 2. 4/6 ÷ (2/2) = 2/3. These fractions are not equivalent, as 1/2 ≠ 2/3.

2. 3/8: This fraction cannot be equivalent to 6/12, as their denominators are different and don't have a common factor. So, no further calculation is needed.

3. 6/12: This fraction is the same as the original fraction and is therefore equivalent to itself.

4. 2/4: Simplify 2/4 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 2/4 ÷ (2/2) = 1/2. This fraction is equivalent to 6/12, as 1/2 = 1/2.

5. 1/2: As we found out earlier, 6/12 simplifies to 1/2, so this fraction is equivalent to 6/12.

Learn more about common divisor here:

brainly.com/question/29199768

#SPJ11

Uncle Makhosi needs approximately 1.56 kilograms of butter.

To determine the amount of butter in kilograms, we'll use the conversion rate of 1 kg = 2.25 pounds.

First, we need to convert 3 and a half pounds to a decimal form. Since half a pound is equal to 0.5 pounds, we can express 3 and a half pounds as 3.5 pounds.

Next, we'll use the conversion rate to calculate the equivalent weight of 3.5 pounds in kilograms:

3.5 pounds * (1 kg / 2.25 pounds) = 1.56 kilograms (rounded to two decimal places).

To summarize, based on the given conversion rate of 1 kg = 2.25 pounds, Uncle Makhosi requires approximately 1.56 kilograms of butter to fulfill his 3 and a half pound requirement. This conversion can be useful when dealing with different units of measurement, allowing us to easily switch between kilograms and pounds.

For more such questions on equivalent weight

https://brainly.com/question/30745781

#SPJ8

The radius of the oatmeal container is 0.2 inches.

The surface area of the plastic is 0.08π square inches

The base and lid are made of plastic and have a radius of R.

The base and lid have a combined surface area of:

πr² + πr² = 2πr² square inches

The total surface area of the oatmeal container is 40 square inches.

The surface area of the cardboard is 16πr square inches and the surface area of the plastic is 2πr² square inches.

Thus, we have the equation:

40 = 16πr + 2πr²

We can solve for R as follows:

16πr + 2πr² = 40

2πr^2 + 16πr - 40 = 0

2πr^2 + 20πr - 4πr - 40 = 0

20r(πr + 2) - 4(πr + 2) = 0

(20r - 4)(πr + 2) = 0

20r - 4 = 0 or πr + 2 = 0

20r = 4 or πr = -2

r = 0.2

Thus, the radius of the oatmeal container is 0.2 inches.

The surface area of the plastic is 2πr² = 2π(0.2)² = 0.08π square inches

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

Answer:

x > 1, x5 < - 2/5

Step-by-step explanation:

Answer:

2x( 2x-1) (x+3)

Step-by-step explanation:

4x^3 + 10x² - 6x

Factor out 2x

2x( 2x^2 +5x -3)

Factor inside the parentheses

2x( 2x-1) (x+3)

Answer:

2x(2x-1)(x+3)

Step-by-step explanation:

4x³ + 10x² - 6x

here 2x is a common factor then we can pull it out:

4x3 + 10x² - 6x = 2x²×(2x) + 5x×(2x) - 3×(2x)

                        = 2x(2x² + 5x - 3)

                        = 2x(2x-1)(x+3)

2x² + 5x - 3 = (2x-1)(x+3) , here you can use the quadratic formula to find the roots.

Answer:

it is 85x and I'm only in middle school

The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

Learn more about harvest here:

brainly.com/question/16953777

#SPJ11