Find the 4th term in the expansion of (5x + y)4 in simplest form.

Marcella is correct. A square is a type of rectangle.

A rectangle is a four-sided plane figure with four right angles. A trapezoid is a four-sided plane figure with one pair of parallel sides. Thus, it is not possible to draw a trapezoid that is also a rectangle. However, a square is a four-sided plane figure with four equal sides and all four right angles, making it a type of rectangle. Therefore, it is possible to draw a square that is a rectangle.

A rectangle is a four-sided plane figure with four right angles. A trapezoid is a four-sided plane figure with one pair of parallel sides.

Marcella is correct. A square is a type of rectangle.

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answer: none it is  -3

If Young is replacing fencing around his rabbit pens and garden , then to replace the two rabbit pens and his garden the number of feet of fencing required is 76 ft .

The Dimensions of the Rabbit Pen is :

the length of rabbit pen is = 3.5 ft ;

the width of the rabbit pen is = 4.5 ft ;

the Dimensions of the Garden are :

the length of garden is = 12 ft ;

the width of garden is = 10 ft ;

So , Perimeter of Rabbit Pen is = [tex]2\times (Length + Width)[/tex] ;

Perimeter = [tex]2\times (3.5 + 4.5)[/tex]

= 16 ft .

Since there are 2 rabbit pens ,

So , the Perimeter of two rabbit pen is = [tex]16+16[/tex] = 32 ft ;

And , Perimeter of Garden is = [tex]2\times (12 + 10)[/tex] = 44 ft .

Total Perimeter of Pen and Garden is  = [tex]32+44[/tex] = 76 ft .

Therefore , Young would require 76 ft of fencing to replace the two rabbit pen and garden .

The given question is incomplete , the complete question is

Young is replacing the fencing around his rabbit pens and garden. The table shows the dimensions of the different areas. How many feet of fencing will he need to replace two rabbit pens and his garden?

Item             Length(ft)   Width(ft)

Rabbit Pen      3.5             4.5

Garden             12               10

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Answer:

Step-by-step explanation:

x: Andre's Age

(x+3): Andre's Brother's Age

(x−2): Andre's Sister's Age

3(x+3): Andre's Mom's Age

87: The Sum of All Four Ages

Answer:

[tex]a=15, b=0[/tex]

Step-by-step explanation:

The numbers are [tex]5w-1, 5w, 5w+1[/tex].

So. the sum is [tex]5w-1+5w+5w+1=15w \implies a=15, b=0[/tex].

Answer: it is a transporter or conveyer in english. Used for transporting goods

Step-by-step explanation:

This test batch can be chosen is 455 ways. (Option A).

The problem is asking for the number of ways to choose 3 batteries out of a box of 15.

This is a combination problem and the number of ways to choose k items out of a set of n items, without regard to the order of selection, is given by the binomial coefficient:

C(n,k) = n!/(k!(n-k)!)

where ! denotes factorial.

So in this case, we have:

C(15,3) = 15!/(3!(15-3)!) = 151413/(321) = 455

So, the answer is 455.

Therefore, This test batch can be chosen is 455 ways. (Option A).

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Answer:

90

Step-by-step explanation:

The symbol represented in the angle is the right angle symbol ∟

This means that the angle would be 90

Have a lovely day :)

Answer:

There's no m so I'm assuming you meant b.

The angle of b is 121

Step-by-step explanation:

The shape here is a heptagon. The formula for calculating the sum of interior angles is ( n − 2 ) × 180. *n represents the number of sides.

(7-2) × 180               There are 7 sides so plug that in.

(5) × 180 = 900       This means the shape's interior angles add up to 900.

Now, all we have to do is add up all the sides known and set it equal to 900.

c + d + e + f + g + a = 900

148 + 90 + 142 + 130 + 139 + 130 + b = 900

779 + b = 900              

now subtract 779 from both sides to isolate b.

b = 121

Answer:

1/2

Step-by-step explanation:

i hope it helps you all

If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, the probability P(x = 0) =.50 is not correct.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

The probability of all the events in a sample space adds up to 1.

Thus, If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, the probability P(x = 0) =.50 is not correct.

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Answer: 1.7

Step-by-step explanation: First, let's see how many decimeters are in 1 cm. To find it, we must divide the cm by 10. So, we can do 17 / 10 or move the decimal one spot left. They should both = 1.7. I hope this helped!

So the probability that the system fails is 41% if the probability that each component fails is 0.1 and different components fail independently of one another.

The probability that the system fails is the probability that even one of the 5 components fails. Since the components fail independently of one another, we can use the probability of failure for each component and multiply it by the number of components to find the probability that the system fails.

The probability that the system fails is:

1 - (1 - probability of failure of one component)^(number of components)

Given that the probability of failure of each component is 0.1, the probability that the system fails would be:

1 - (1 - 0.1)^5 = 1 - 0.59 = 0.41 or 41%

So the probability that the system fails is 41% if the probability that each component fails is 0.1 and different components fail independently of one another.

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If a student in stat 121 wants to estimate the average score on the stat 121 final exam from last semester. The sample is: The 200 students interviewed.

Sample can be defined as the data or information that are randomly collected from a group of population so as to reach or drawn a conclusion.

Based on the scenario the sample will be the 200 students who took the class last semester  as the 200 students were randomly selected from a larger population so as to reach a conclusion.

Therefore we can conclude that the sample is the 200 students interviewed.

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Answer:

The percent mass composition of zinc in the brass sample is:

(mass of zinc / total mass of sample) x 100%

(4.21 g / 12.00 g) x 100% = 35.08% zinc

So the brass sample contains 35.08% zinc by mass.

To find the percent mass composition of copper in the sample, you can use the information that the sample is made of copper and zinc only, so you can use the difference between 100% and the percent zinc:

100% - 35.08% = 64.92% copper

So the brass sample contains 64.92% copper by mass.

The vertex form is

y = (x - 1)^2 - 4.

Generally, The equation of a parabola, which is a kind of quadratic function, may be written in a particular format known as the vertex form. The equation of the parabola may be written out in vertex form as follows:

y = a(x - h)^2 + k

If the vertex of the parabola is located at (h, k), and the leading coefficient is denoted by a. If an is positive, the parabola will have its lowest point at the vertex, and if an is negative, the vertex will have its highest point.

The vertex form is important because it makes it simple to determine where the vertex of a parabola is located, and it may also be used to establish the direction in which the parabola is pointing.

The vertex form of the equation y = x^2 - 2x - 3 is

y = (x - 1)^2 - 4.

The vertex of this parabola is at the point (1, -4).

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On solving the the provided question we can say that -  here in the slope the equation will be y - 3 = 1(x+6) = y - x - 9 = 0

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

points are (-6,3)

y - y1 = m(x-x1)

y - 3 = 1(x+6)

y - x - 9 = 0

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Answer: acute-angled triangles.

Step-by-step explanation:

Equilateral Acute Triangle. An equilateral acute triangle is that type of acute triangle that has all its interior angles measuring 60°.

Isosceles Acute Triangle.

Scalene Acute Triangle

Answer: 4⋅(2+5) = 4 * (2+5) = 4 * 7 = 28

Step-by-step explanation:

Line 1 shows the original expression and Line 2 shows the expression is simplified by using the distributive property.

4⋅2 + 4⋅5 = 8+20 = 28

So the final result is 28.

Answer:

C) 8 : 1

Step-by-step explanation:

To find our ratio, we will multiply both sides by 20 to get rid of fractions, this gives us:

[tex]\frac{2}{5} * 20 : \frac{1}{20} * 20[/tex]

8 : 1

So, the ratio is C) 8 : 1.

The reason the answer is C), and not B) is because C) is the most simplified form.

Hope this helped!

Answer:

The answer is C) 1:8

Step-by-step explanation:

2/5 is equal to 8/20

so if you compare 8/20 to 1/20 the answer is c

The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of amount $50 and a 25% markup on the selling price.

$50 / 0.25 = $200

To calculate the cost of the Nike baseball gloves with a markup of 25% and a margin of $50, use the following formula:

Cost = (Price + Markup) / (1 + Markup Percentage)

Cost = ($50 + $50) / (1 + 0.25)

Cost = $100 / 1.25

Cost = $80

Therefore, the manager can afford to pay amount $80 for each baseball glove.

The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of $50 and a 25% markup on the selling price.

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The equation of a line in the form y is y = 150 - 85x.

This equation can be used to determine the amount of money in the grocery account at any given week, x. To solve, we will use the information given in the question.

We know that the initial amount in the account is $150. This is the y-intercept of the line. Therefore, 150 = 150 - 85x. Solving this equation for x, we get x = 0. This means that at week 0 the account has a balance of $150.

Next, we know that money is withdrawn from the account every week. We can use this information to solve for the slope of the line. We know that every week $85 is withdrawn from the account, so the slope of the line is -85. Therefore, the equation of the line is y = 150 - 85x.

Using this equation, we can determine the amount in the account at any given week. For example, at week 5, y = 150 - 85(5) = $25. This means that the account has a balance of $25 at week 5.

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There are two types of roots for an equation: real roots and complex roots. Real roots are the solutions of the equation where the values of the variables are real numbers, and complex roots are the solutions of the equation where the values of the variables are complex numbers.

There are two types of roots for an equation: real roots and complex roots. Real roots are the solutions of the equation where the values of the variables are real numbers. To find the real roots of an equation, one can use various methods such as graphing, factoring, completing the square, and the quadratic formula. If the equation is a linear equation, one can also use the slope-intercept form to find the real root. Complex roots are the solutions of the equation where the values of the variables are complex numbers. Complex roots are usually found using the quadratic and cubic formulas. These formulas involve complex numbers and can be used to solve equations with complex coefficients. The roots can also be found graphically by plotting the equation on a complex plane and finding the intersecting points. The real and imaginary parts of the root can then be determined.

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Answer:

[tex]x=16y^2-5[/tex]

Step-by-step explanation:

Lets solve for x.

[tex]\frac{\sqrt{x+5} }{4} =y[/tex]

Multiply both sides of the equation by 4.

[tex]\sqrt{x+5}=4y[/tex]

Eliminate the square root on the left side raising both sides of the equation to the power of 2.

[tex]\sqrt{x+5}^2=(4y)^2[/tex]

The square root and the exponent on the left side cancel out leaving us with

[tex]x+5=(4y)^2[/tex]

Distribute the exponent on the right side.

[tex]x+5=4^2y^2[/tex]

Simplify.

[tex]x+5=16y^2[/tex]

Subtract 5 from both sides.

[tex]x=16y^2-5[/tex]

Answer:

8000

Step-by-step explanation:

bc if its 3 picnic its its 8000

The surface area of the prism in this problem is given as follows:

46 cm².

A surface area is given by the sum of all the areas that compose the figure.

The prism in this problem is composed as follows:

The area of the square is given by the side squared, hence:

As = 2² = 4 cm².

The area of a right triangle is given by half the multiplication of the side lengths, hence:

At = 2 x 0.5 x 2 x 7 = 14 cm².

The area of a rectangle is given by the multiplication of the dimensions, hence:

Ar = 2 x 2 x 7 = 28 cm².

Hence the surface area of the prism is then obtained as follows:

S = As + At + Ar

S = 4 + 14 + 28

S = 46 cm².

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Phelan now has 81.48 x 1.08 = 87.79 US dollars, which is 87.79 dollars of the original 250 dollars.

First, we need to find out how many euros Phelan has left after spending 150 euros on his trip.

We are taking the exchange rate of 1 euro = 1.08 USD

He started with 250 US dollars, which he exchanged for 250 / 1.08 = 231.48 euros.

After spending 150 euros, he has 231.48 - 150 = 81.48 euros left.

To convert the euros back to US dollars, we need to multiply the number of euros by the exchange rate (1 US dollar = 1.08 euros)

So, Phelan now has 81.48 x 1.08 = 87.79 US dollars, which is 87.79 dollars of the original 250 dollars.

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10/√3 is the length of side x in simplest radical form with a rational denominator.

The fundamentals of radical form are simple. When a number or algebraic expression is under a radical, the term refers to that form of the expression. To improve that, we can manipulate a number or an algebraic expression in radical form to convert it to simplest radical form.

Simply put, simplifying a radical eliminate any need to find more square roots, cube roots & fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.

The triangle is a right triangle, therefore we will apply trigonometry

To obtain the value of X which is the hypotenuse :

We know that

Cosθ = adjacent / hypotenuse

Cos 30 = 5 / X

√3/2 = 5 / X

√3 / 2 × X = 5

X = 5 ÷ √3 / 2

X = 5 × 2 / √3

X = 10/√3

Thus, 10/√3 is the length of side xx in simplest radical form with a rational denominator.

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The solutions are x = ±1.73, ±3.87.

Given equation: x4 − 10x2 + 9 = 0

Rewrite equation as (x2 - 9)(x2 + 1) = 0

Set each factor equal to 0 and solve for x

x2 - 9 = 0

⇒ x2 = 9

⇒ x = ±3.87

x2 + 1 = 0

⇒ x2 = -1 ⇒

x = ±1.73

The given equation is x4 − 10x2 + 9 = 0. This can be rewritten as (x2 - 9)(x2 + 1) = 0. By setting each factor equal to 0 and solving for x, we get x2 - 9 = 0 which implies x2 = 9 and x = ±3.87. Similarly, x2 + 1 = 0 implies x2 = -1 and x = ±1.73. Therefore, the solutions of x4 − 10x2 + 9 = 0 are x = ±1.73, ±3.87.

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The interval of increase for the given function is (-1 , 0) (0 , infinity).

The real-valued functions that tend to rise and decrease with changes in the value of the function's dependant variable are increasing and decreasing intervals of real numbers. You must ascertain the function's first derivative in order to identify intervals of rise and decline.

This is done to determine whether the function's sign is positive or negative. If the value of the function f (x) rises as the value of x rises, the function interval is said to be positive. Instead, if the value of the function f (x) drops as the value of x increases, the function interval is said to be negative.

The given function is:

C(x) = x1/5(x + 6)

Find the derivative of the given function to get calculate the interval of increase and decrease.

The interval of increase is (-1 , 0) (0 , infinity).

Th graph is concave up when derivative of, f is greater than 0. The intervals in which the function depicts this behavior will be the interval that will have a concave up curve.

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Answer:

its increases by 10 degrees

Step-by-step explanation: