Which shows a rational number plotted correctly on a number line?
A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 39 Over 2 EndFraction is plotted on the mark 1 space to the right of negative 20.
A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 6.5 is plotted halfway between negative 6 and negative 4.
A number line going from negative 6 to positive 2 in increments of 2. There are 4 equal spaces between each number. Negative one-half is plotted on the mark 1 space to the right of 0.
A number line going from negative 5 to positive 3 in increments of 1. Negative 2.5 is plotted halfway between negative 2 and negative 1.

The value of g becomes 64% of its value on the surface of the earth when it is at a height of 3200km above the surface, with the radius of the earth being 6400km.

Radius of Earth = 6400 km

Height above the surface of Earth = 3200 km

Gravitational Acceleration on surface of Earth = 9.8 m/s2

Gravitational Acceleration at 3200 km above the surface of Earth = 9.8 x 0.64 = 6.272 m/s2

The gravitational acceleration (g) on the surface of the earth is 9.8 m/s2. This value is constant, regardless of the height of an object above the surface. However, as the height of an object increases, the gravitational force experienced by the object decreases. The radius of the earth is 6400 km, so at a height of 3200 km above the surface, the gravitational acceleration experienced by an object is 64% of its value on the surface of the earth, which is 6.272 m/s2. This is because the gravitational force decreases as the object moves further away from the surface, and at 3200 km the force is only 64% of the force at the surface.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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The value of m<RQS as required to be determined in the task content is; 70°.

It follows from the task content that the measure of angle RQS is to be determined as required.

Recall, the measure of the central angle subtended by an arc is twice that which it subtends at any point on the circumference.

Therefore, m<RPS = 2 • m<RQS.

m<RQS = 140°/2

m<RQS = 70°.

Ultimately, the measure of angle RQS are; 70°.

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The difference between the interquartile range of Matt's and Linda's remaining vacation days is 1.5.

The interquartile range will be calculated through the formula -

\( Q_{3}\) = \( Q_{2}\) - \( Q_{1}\)

Firstly calculating \( Q_{3}\) for Matt

\( Q_{2}\) = (4+5)/2

\( Q_{2}\) = 4.5

\( Q_{3}\) = (8+12)/2

\( Q_{3}\) = 10

Finding interquartile range now -

\( Q_{3}\) = 10 - 4.5

\( Q_{3}\) = 5.5

Now, performing calculation for Linda

\( Q_{2}\) = (0+10)/2

\( Q_{2}\) = 5

\( Q_{3}\) = (11+13)/2

\( Q_{3}\) = 12

Finding interquartile range now -

\( Q_{3}\) = 12 - 5

\( Q_{3}\) = 7

The difference between the interquartile range of Linda and Matt will be calculated as:

Difference = Interquartile range of Linda - Interquartile range of Matt (as we see Linda has greater interquartile range than Matt)

Difference = 7 - 5.5

Difference = 1.5

Hence, the difference between interquartile range of days is 1.5.

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The work done if the crane lifts the ball from ground level to 10 ft in the air by drawing in the cable is; W = 27112.95 J

The given parameters are;

Mass of the ball; m = 2000 lb

height of the cable; h = 10 ft

density of the cable, ρ = 9 lb/ft

The work done if  the crane lifts the ball from ground level to 10 ft in the air by drawing in the cable is calculated as follows;

W = fd

W = mg * d

where;

g is acceleration due to gravity = 32.17 ft/s²

The work done is calculated as;

W = 2000 * 32.17 * 10

W = 643,400 lb.ft²/s²

Converting to Joules gives;

W = 643,400 lb.ft²/s² * 0.0421401101 joules/lb.ft²/s²

W = 27112.95 J

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Answer: 3 students

Step-by-step explanation:

15% of 20

Answer:

Step-by-step explanation

Answer:

A  

Step-by-step explanation:

x = -3 goes straight through -3, 7 vertically

The value of the tax for the meal is $1.05.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.

Given the  cost of the meal = $15.00

and rate of tax = 7%

converting the rate of tax into decimal form,

rate of tax = 7% = 7/100

rate of tax = 0.07

amount of tax = cost x rate of tax

amount of tax = 15 x 0.07

amount of tax = $1.05

Hence the amount of tax is $1.05.

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The matrix Transformation for ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3), for a dilation by a factor of 1/4 is:\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}.

A dilation is a type of matrix transformation that changes the size of a geometric figure, but not its shape, by multiplying all its coordinates by a constant factor.

To identify the matrix transformation of ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3),

for a dilation by a factor of 1/4, we will first find the center of a dilation using the formula:

(x,y)\rightarrow (\frac{1}{4}x,\frac{1}{4}y)

Since this is a dilation with a center of origin, the center of dilation is (0, 0).

Next, we will find the image of each vertex by multiplying its coordinates by the dilation factor:

F(0, -1) becomes (0, -1/4)G(5, -1) becomes (5/4, -1/4)H(4, 3) becomes (1, 3/4)

Therefore, the vertices of the image are F’(0, -1/4), G’(5/4, -1/4), and H’(1, 3/4).

The matrix transformation for the dilation by a factor of 1/4 is:

\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}

So, the matrix transformation for ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3), for a dilation by a factor of 1/4 is:\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}.

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Answer:

(9+5)-7= 7

(18-6) +4+6 = 22

Answer:

(9 + 5) - 7 = 7

(18-6) + 4 + 6 = 22

Step-by-step explanation:

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

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Answer:

$11,640

Step-by-step explanation:

Answer: y = 5x-2

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

18/5 divided by 3/25 is the same thing as multiplying 18/5 with the reciprocal of 3/25 (25/3).

\(\frac{18}{5} *\frac{25}{3} =\frac{450}{15}\)

And when multiplying out you get 450/15.

Simplifying (by dividing 450 by 15) this you will get 30.

Answer:

x= −1/4 or x = 5

Step-by-step explanation:

Step 1: Factor left side of equation.

(4x+1)(x−5)=0

Step 2: Set factors equal to 0.

4x+1=0 or x−5=0

Answer:

x= −1/4 or x = 5

The factored form of the equation  4x²- 19x - 5 = 0 is (4x+1)(x-5).

The given equation is 4x²- 19x - 5 = 0.

To factor the quadratic expression on the left-hand side into two binomials.

The binomial factors will have the form (ax + b)(cx + d).

We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.

After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.

(4x² - 20x) + (x - 5) = 0.

4x(x - 5) + (x - 5) = 0.

(4x+1)(x-5)=0

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

(i)

2 * 6 = 6

6 * 1 = 1

2 * (1 * 6) = 2 * 6 = 6

6 * (2 * 3) = 6 * 3 = 6

(ii) * is commutative if for any a, b ∈ A, we have a * b = b * a. You can verify this visually by checking for symmetry in the table along the main diagonal (going from top left to bottom right).

* is not commutative because

6 * 1 = 1

while

1 * 6 = 6

(iii) If e is the identity, then for any a ∈ A, we have a * e = e * a = a.

Here, 2 is the identity element because 1 * 2 = 1 and 2 * 1 = 1, and the same is true if we replace 1 with 2, 3, or 6.

(iv) Let a ∈ A. a has an inverse a ⁻¹ if a * a ⁻¹ = a ⁻¹ * a = e.

We know that e = 2, so look for any pairs that map to 2. The table shows that

1 * 3 = 2   and   3 * 1 = 2

2 * 2 = 2

so 1 has an inverse of 3, 3 has an inverse of 1, and 2 has itself as its inverse (which is to be expected for the identity).

Answer:

This has no answer. Whats the question? Please tell me so I can help you

Is it probability ???

Answer:

22 degrees

Step-by-step explanation:

Just do arccos(0.9272) on your calculator or just do 90 minus 68.

The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

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Answer:24 sq. units

Step-by-step explanation:

The length of the base is (7-1)= 6 units. The height is 8 units.

Area =1/2*l*b=24

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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Answer:

B:

Step-by-step explanation:

If we rotate the 3-D figure around y-axis we'll obtain a cone with a radius of 3 units

Answer:

ADD MORE POINTS THEN WE CAN TALK HUN THANK ME LATER HUN FOU

Step-by-step explanation:

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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Answer:

?

Step-by-step explanation:

Answer:

y = 1/2x + 4

Step-by-step explanation:

Answer:

y = 1/2x + 4

Step-by-step explanation:

To find the 1/2 you can see that is is between the box, and cannot be negative because it is going up not down. To find y-interceptive, you start where the line starts and until you hit a y value; which is 4.

The measure of the indicated arc angle is 134 degrees.

The angle subtended by the arc at the centre of the circle is the angle of the arc.

Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.

Hence, the central angle is also known as the arc's angular distance.

Therefore, the measure of an arc is the measure of its central angle.

Hence, the measure of the indicated arc is 134 degrees.

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