A Pile Of Coal Is Stored In A Barrel-shaped Bin Whose Base Has A Radius Of 3 Meters. The Height Of The (2024)

The study method used to evaluate mother-child attachment is best described as option A: experimental.

Children who refuse food by acting negatively or in opposition seem to be a common theme in feeding interactions between depressed mothers and their kids. The purpose of this study was to examine parenting behaviours in the setting of feeding in moms who were suffering from serious depression from an attachment theory perspective. The easiest way to sum up the research design used to assess mother-child attachment is option A: experimental.

The idea of sensitive responsiveness was developed by attachment theory to measure a mother's capacity to empathetically recognise and respond to her child's signals. Their attitudes and behaviours when providing care may be badly impacted by this distress, which may be pervasive.

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Answer: [tex]\sqrt[5]{3}-1[/tex]

Step-by-step explanation:

Let the annual rate of increase be [tex]r[/tex].

[tex]3000=1000(1+r)^5\\\\3=(1+r)^5\\\\\sqrt[5]{3}=1+r\\\\r=\sqrt[5]{3}-1[/tex]

Answer:

Step-by-step explanation:

Yes, it is correct for Austin to be excited about the extra money he will make in interest. Interest is a common form of compensation for loaning money to another person, and it is generally expected to be paid back along with the principal amount. In this case, Austin will earn 4% interest on the $20 loan over the course of 3 months, which works out to be a total of $0.80. This is a relatively small amount, but it is still money that Austin would not have had if not for the loan. Therefore, it is reasonable for Austin to be excited about the opportunity to make a little extra money.

Answer:

123.2

Step-by-step explanation:

First find area of the square ABCD, then the triangle AMN.

Find CD:

sin30 = CD/20

CD = 20(sin30) = 10

CD = AD = 10

Find MD:

cos30 = MD/20

MD = 20(cos30) = 17.32

AM = MD - AD = 17.32 - 10 = 7.32

Area of ABCD = (10)(10) = 100

Find height of triangle AMN: AN

cos30 = AN/7.32

AN = cos30(7.32) = 6.34

Area of triangle ANM = 1/2(7.32(6.34) = 23.2

Total Area of the shape = 100 + 23.2 = 123.2

There are two ways to fence the garden in 3 areas with some equal sections.

2/5, 2/5, 1/5 and 3/5, 1/5, 1/5.

Fraction definition

A fraction depicts a segment or component of the whole. It represents the equal parts that make up the whole. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that are taken.

Given The garden is divided into 5 equal pieces, each of which is 1/5 of the total garden size.

By arranging some equal parts together, she will fence the garden into three sections. There are two ways to do this.

(1/5 +1/5) = 2/5

(1/5 +1/5) = 2/5

1/5

these are the 3 areas 2/5, 2/5, 1/5.

and

(1/5 +1/5 + 1/5) = 3/5

1/5, 1/5

these are 3 areas = 3/5, 1/5, 1/5.

Hence there are only two ways to fence the garden into three areas by grouping some equal sections.

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No, dividing by 1/2 is not the same as dividing by 2. Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.

Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.

Dividing by 2 means to take a number, and then divide it by 2. For example, 8 divided by 2 would be 4.

Dividing by 1/2 involves taking a number and dividing it by one half of itself. For example, if you were to divide the number 8 by 1/2, the result would be sixteen. On the other hand, dividing by 2 means taking a number and dividing it by two. If you were to divide the number 8 by 2, the result would be four. Both operations involve division, but the results are not the same. Dividing by 1/2 involves taking a number, doubling it, and then dividing the result by two, while dividing by 2 involves taking a number and simply dividing it by two. The difference in results can be seen when comparing 8 divided by 1/2, which is 16, and 8 divided by 2, which is 4. Consequently, these two operations are not the same.

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The expected number of radiation induced cancers according to the linear no threshold model of cancer induction is 500

Radiation is defined as the energy that comes from a source and travels through space at the speed of light.

Here we have given that 1,000,000 people are exposed to 10 msv and here we need to find the the expected number of radiation induced cancers according to the linear no threshold model of cancer induction.

As we all know that the amount of dose depends on the type of x-ray examination. A CT examination with an effective dose of 10 milli Sieverts

And it may be associated with an increase in the possibility of fatal cancer of approximately 1 chance in 2000.

therefore, here we have the total number as 1,000,000

Then the expected number if calculated as,

=> 1,000,000/2000

=> 500

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The best estimate of the average change in rent each year include the following: C. $40.

How to determine the average change in rent each year?

Mathematically, the rate of change is also referred to as slope or gradient and it can be calculated by using this formula;

Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change, m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the value of y with respect to the value of x on the scatter plot, which represents a line that is passing through the points (0, 800) and (10, 1200):

Rate of change, m = (1200 - 800)/(10 - 0)

Rate of change, m = 400/10

Rate of change, m = 40.

Based on the scatter plot, we can reasonably infer and logically deduce that the average rate of change in rent each year is equal to 40 dollars.

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Complete Question:

The scatter plot below shows the average rent (in dollars per month) for a 1-bedroom apartment in New York City each year between 2000 and 2013.

Which of the following is the best estimate of the average change in rent each year?

answer choices

$0.5

$1

$40

$400

From the correlation table , based on the correlation values , then the predictor that would lead to least prediction error in predicting happiness using simple regression is stats class .

What is Predictor Variable ?

The predictor variable is used to predict the future outcome based on some given circ*mstances. The Other names by which predictor variable is known as "criterion variable" and "explanatory variable" .

the best predictor from the given correlation table is the highest value in the table ; irrespective of the sign .

We have to predict happiness using the simple regression ;

So to find the predictor , we select the row in the happiness row ,

we can see that the biggest value for the happiness row is 0.41 , which is the stats class .

Therefore , The predictor that lead to least prediction error is Stats Class .

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Answer: 408

Step-by-step explanation:

85% is equal to 0.85 in decimal form.

So, the answer is [tex](480)(0.85)=408[/tex] students.

Answer:

408

Step-by-step explanation:

In decimal notation, 85% is 0.85.

Answer:

To find the angle subtended by a chord at the center of a circle, we can use the formula:

θ = 2 * arcsin (c / 2r)

where θ is the angle subtended by the chord, c is the length of the chord, and r is the radius of the circle.

Step 1: Substitute the given values into the formula

θ = 2 * arcsin (13.2 / (2 * 9.4))

Step 2: Simplify the equation

θ = 2 * arcsin (13.2 / 18.8)

Step 3: Use a calculator or a math table to find the value of arcsin

arcsin (13.2 / 18.8) = 0.636 radians

Step 4: Multiply the value obtained by 2

0.636 * 2 = 1.27 radians

Final Answer: The angle subtended by the chord at the centre of the circle is 1.27 radians or 72.8 degrees

Answer:

ForTheTriangleABOtofindthelengthr

Wehave

sin(

2

α

)=

hypotenuse

opposite

=

OA

AB

=

9.4

6.6

=0.70212

whereAB=

2

13.2

=6.6cm

2

α

=sin

−1

(0.70212)

thenweoptain=

α=44.6°×2

=89.2°

Answer:

48

Step-by-step explanation:

First you should subtract 43 and 19

then you get a answer 24

Multiply it by 2

you get 48

Answer:

no. of books =48 books

Step-by-step explanation:

lets say that he started with

x

books so,

(X÷2)-19=43

X÷2=24

X=48

Answer:

y-1=2/3(x+9)

Step-by-step explanation:

Sorry cant really explain well but I am positive this is the right answer.

The best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.

If you are looking for a deep spot to take a swim in a local river, the best choice is to go where the water flows slowly. The speed of the water is determined by the formula:

v=Q/A,

where v is the speed of the water, Q is the discharge rate, and A is the cross-sectional area of the river. As Q is constant for the same river, a slower water flow can be achieved by increasing A, which is the cross-sectional area of the river. Therefore, the best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.

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One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

We can write a system of inequalities to represent the situation as follows:

6x + 5y ≥ 90 (because Cameron must spend at least $90 on drinks and candies)

x + y ≥ 18 (because Cameron must buy at least 18 drinks and candies altogether)

x ≥ 0, y ≥ 0 (because Cameron can't buy negative number of drinks or candies)

To graphically represent the solution set of this system, we can plot the inequalities on a coordinate plane. We can start by drawing the line representing the first inequality: 6x + 5y = 90. To find the slope-intercept form of this equation we can subtract 90 from both sides, 6x + 5y - 90 = 0, and we get: 6x + 5y = 90.

The second inequality is x + y ≥ 18 which is a boundary line.

The third inequality is x ≥ 0 and y ≥ 0 which means that both x and y should be non-negative.

The solution set of this system of inequalities is the intersection of the half-planes defined by the inequalities. This is the set of all points that lie in all three half-planes. One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

Therefore, One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

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The slope of the line parallel to BC is 18/7 * (x + 0) is 18/7 y. the orthocenter is where concurrency occurs.

What is the slope of the line parallel to BC ?

Hana fastens tiny wood strips perpendicular to the opposing edge from each vertex. As a result, the orthocenter is where concurrency occurs.

Given: Hana fastens small wood strips perpendicular to the opposing edge from each vertex.

As a result, the orthocenter is where concurrency occurs.

Think of the ABC triangle with coordinates.

A(0, 0) B(0, 58), C(36, 44) (36, 44)

first determine the angles of the triangle's two sides.

Formula for slope: (y 2 - y 1)/(x 2 - x 1)

slope of the AB& A(0, 0) matrix side matrix, Slope of BC side B(0,58), B(0, 58) = (58 + 0)/(0 + 0) = 0 C(36,44) = (44 - 58)/(36 + 0) = - 14/36 = - 7/18

Use Equation of the altitude perpendicular to AB's point slope form after that.

The vertex in opposition to AB is point C.

A line perpendicular to AB has a slope of zero.

y-y 1 = m(x-x 1) y-44 = 0(x-36) y = 44

Altitude Equation Perpendicular to BC

The vertex opposite BC is Point A. A line perpendicular to BC has a slope of 18/7.

y + 0 = 18/7 * (x + 0)

y = 18/7 * x

Change the value of y in the equation above. y = 18/7 * x 44 = 18/7 * x

x = 17.11 The slope of the line parallel to BC is 18/7 * (x + 0) = 18/7 y.

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Answer:

Step-by-step explanation:

You will need to utilise algebraic expressions to create an equation to show Lori's age in relation to Shawn.

The procedure will be completely described in the sections that follow with step-by-step instructions .

Let us assume that Shawn's age is x and Lori's age is y .Younger denotes negative sign in algebric expression ( - ) .If Lori is 4 years younger than Shawn, then Lori is 4 years younger than Shawn.Therefore, an expression that represents Lori's age in relation to Shawn can be written as following : y=x-4

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Answer:

f

(

x

)

=

9

x

−

4

.

Step-by-step explanation:

The inverse of

f

(

x

)

=

9

x

−

4

is a function

g

(

x

)

such that

f

(

g

(

x

)

)

=

(

f

∘

g

)

(

x

)

=

x

but

f

(

g

(

x

)

)

=

9

g

(

x

)

−

4

=

x

Hope it helps.

If you have any query, feel free to ask.

(a) The value of the tension in wire BC will be = 80.4 N

(b) The value of the speed of the hammer’s head will be = 2.30 m/s

Mass of the head of the hammer = 7.1 Kg.

The speed at which it is revolving = v

value of ρ=0.93 m

The value of the angle θ=60°

Tension is described as the force transferred through a rope, string, or wire when pushed by opposing forces. The tension force is directed along the length of the wire and draws energy evenly on the bodies at the ends.

(a) Now, we will first calculate the value of the tension in wire BC,

First, we will note

[tex]$$a_A=a_n=\frac{v_A^2}{\rho}$$[/tex]

(a)

[tex]$+\Sigma F_y=0: T_{B C} \sin 60^{\circ}-W_A=0$[/tex]

or we can write it as:

[tex]$$\begin{aligned}T_{B C} & =\frac{7.1 \mathrm{~kg} \times 9.81 \mathrm{~m} / \mathrm{s}^2}{\sin 60^{\circ}} \\\end{aligned}$$[/tex]

=> =80.426 N

=>= 80.4 N (approx)

(b) Now calculate the speed of the hammer’s head.

[tex]$\quad+\Sigma F_x=m_A a_A: T_{B C} \cos 60^{\circ}=m_A \frac{v_A^2}{\rho}$[/tex]

or

[tex]$$v_A^2=\frac{(80.426 \mathrm{~N}) \cos 60^{\circ} \times 0.93 \mathrm{~m}}{7.1 \mathrm{~kg}}$$[/tex] = 2.30 m/s

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Note: The correct question may be like this:

During a hammer thrower’s practice swings, the 7.1-kg head A of the hammer revolves at a constant speed v in a horizontal circle as shown. If ρ=0.93m and ,θ=60° determine (a) the tension in wire BC, (b) the speed of the hammer’s head.

The needed diagram is attached below

Nothing that we can say regarding an we are unsure of whether the terms of an are rising or falling, a passes the Comparison Test and sequence, Since bn, an also converges.

what is a sequence?

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.

We are unable to comment on an.

This is due to the fact that bn converges, causing a to exceed bn, and as a result, we are unable to determine whether the terms of an are increasing or decreasing.

What can you say about an if a bn for all n? a passes the Comparison Test and converges.

This is due to the fact that since bn converges and a converges since bn, we may infer that the terms of an are likewise decreasing and that an also sequence since bn based on the comparison test.

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The possible values of [tex]$m$[/tex] are all real numbers greater than [tex]$\frac{2}{x^2}$[/tex]

A quadratic equation is an equation of the form ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0. It is called a quadratic equation because the highest degree of its unknown variable (x) is two. The solutions of a quadratic equation can be found by solving the equation using the quadratic formula, factoring, or graphing. Quadratic equations are used in many areas of mathematics, from basic algebra to differential equations.

Let [tex]$y = 2x^2mx8$[/tex]

The two distinct real roots of the equation imply that y is a quadratic equation with two distinct real roots.

So,[tex]$y = 0 = 2x^2mx8 \implies 2x^2mx - 8 = 0$[/tex]

Using the quadratic formula , [tex]$m = \frac{8}{2x^2x}$[/tex]

The two distinct real roots of the equation imply that the discriminant of the quadratic equation, [tex]$\Delta = b^2-4ac$[/tex] is greater than 0.

So, [tex]$\Delta = (2x^2)^2-4(2)(-8) > 0 \implies 4x^4 + 64 > 0$[/tex]

[tex]$4x^4 > -64 \implies x^4 > -16$[/tex]

So, [tex]$m > \frac{8}{2x^2x} \implies m > \frac{8}{2x^2(-4)} = \frac{2}{x^2}$[/tex]

Hence, the possible values of m are all real numbers greater than [tex]$\frac{2}{x^2}$[/tex]

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An expression that represents the height of a tree is 6.7 + 2.9.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Here, we have

Given

The initial height of the tree is 6.7 feet

The increase in height per year = 2.9 feet

Thus,

The expression will be = 6.7 + 2.9t,

Here t represents the number of years.

Hence, an expression that represents the height of a tree is 6.7 + 2.9.

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This statistic is misleading because Howard surveys only his department and not members of all the departments that the company has.

When studying anything from a population, it is usual practice in statistics to identify a sample of that group.

However, the sample has to be representative.

For example: I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, let's say, 1000 randomly selected Buffalo residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents. This is not representative of all New York State residents, just Buffalo residents.

Howard wants to know the proportion of employees of a company who use the company's healthcare. He asks only his department. However, a company as multiple departments, which leads to the statistics found in Howard's survey being misleading.

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The value of x in the expression 1 - (2/x²) = - x - 1 is ± √2, 4.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, An expression 1 - (2/x²) = - x - 1.

- (2/x²) + x = 2.

Multiplying each term by x².

- 2 + x³ = 2x².

x³ - 2x² = 2.

x²(x - 2) = 2.

x² = 2 ⇒ x = ± √2 Or x - 2 = 2 ⇒ x = 4.

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The present ages of the teachers are 25 and 29 years old.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that sum of the present ages of two teachers is 54 years. If the age of one teacher is 4 years more than the other, then;

Let the ages of teachers are x and y

x + y = 54

x = 4 + y

So, 4 + y + y = 54

4 + 2y = 54

y = 25

x = 29

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Let's denote the first part as x. Then, the second part is 2x, the third part is 3x, and the fourth part is 4x. So, x + 2x + 3x + 4x = 10x = $7200. Solving for x, we get x = $720. Hence, the four parts are:

First part: $720
Second part: 2x = 2 * $720 = $1440
Third part: 3x = 3 * $720 = $2160
Fourth part: 4x = 4 * $720 = $2880

Answer: 720, 1440, 2160, 2880

Step-by-step:

Create arbitrary variable a, such that 7200 = a + 2a + 3a + 4a.

Reduce to get 720 = a

and plug in a into the set {a, 2a, 3a, 4a} to get the answer

The possible number of the right triangle is 6. Hence option A is the correct option.

What is the right triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.

Given that △ABC is a right triangle.

The legs of the △ABC are a and b which are integers. The hypotenuse is b+1. Since b is an integer thus b+1 is an integer.

Pythagorean theorem:

The sum of the square of the legs of a right triangle is the square of the hypotenuse.

According to Pythagorean theorem,

a² + b² = (b+1)²

Applying the algebraic formula (a+b)² = a² + b² + 2ab

a² + b² = b² + 2b +1

Cancel out b² from both sides:

a² = 2b + 1

2b is always a positive number since 2 is multiplied with b. Thus 2b+1 is an odd number.

Since a² = 2b + 1, thus a² is an odd number.

The square of an odd number is an odd number. Thus a is an odd number.

Again given that,

b<100

2b < 200

2b + 1< 201

Putting 2b + 1 = a²:

a² < 201

Now putting a=1 in a² < 201:

1² < 201 (true)

Now putting a=3 in a² < 201:

3² < 201 (true)

Now putting a=5 in a² < 201:

5² < 201 (true)

Now putting a=7 in a² < 201:

7² < 201 (true)

Now putting a=9 in a² < 201:

9² < 201 (true)

Now putting a=11 in a² < 201:

11² < 201 (true)

Now putting a=13 in a² < 201:

13² < 201 (true)

Now putting a=15 in a² < 201:

15² < 201 (false)

If a = 1, 2b+1 = 1 which implies b = 0. The length of a side of a triangle is never zero. Therefore a ≠ 1.

Thus the possible values of a are 3,5,7,9,11,13.

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The evaluation of the piecewise function gives:

when x = -3, f(x) = -4; when x = 2, f(x) = 0; and when x = 4, f(x) = 2.

when x = -3, w(x) = 2; when x = 2, f(x) = 5; and when x = 4, f(x) = 5

How to evaluate a piecewise function?

A piecewise function is a function that is defined by multiple sub-functions, each of which applies to a certain range of the input (or domain) values.

We want to evaluate the piecewise function when x = -3, x =2 and x = 4:

{ -4, x < 2

f(x) = { x-2, -2 ≤ x≤ 4

{0 x > 4

when x = -3:

f(x) = -4 because x < 2 (i.e. -3 < 2)

when x = 2:

f(x) = x-2

f(2) = 2-2 = 0

when x = 4:

f(x) = x-2

f(2) = 4-2 = 2

{ -x - 1, x ≤ -3

w(x) = { 2x + 2, -3 < x < 2

{5, x ≥ 2

when x = -3:

w(x) = -x - 1

w(-3) = -(-3) - 1 = 2

when x = 2:

f(x) = 5

when x = 4:

f(x) = 5

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50

I attached a pic of my work.

so what I did was find the amount of the other sides of the triangle using their opposite congruent sides. aka, the bottom is 90, which means the top should also be 90. and 90-50 is 40, so the rest of that side (which is one side of the triangle) should be 40.

and then I used the pythagorean theorem, since it is a right triangle (indicated by the squares in the corners).

the theorem states that a^2 + b^2 = c^2

so just plug in the legs (a and b), and you should get the amount of segment AB (which is c)