In the last week, Mariah’s ranking in a video game changed by places on the high scores list. Which statement BEST describes the change in Mariah’s ranking?

Answer:

Step-by-step explanation:

distance =  square root [ \((x2-x1)^{2}\) + \((y2-y1)^{2}\) ]

where you have two points on the line

Point 1 = P1 = (x1,y1)

point 2 = P1 =(x2,y2)

The angles in the circle are as follows

angle 1 = angle 2 = 70 degrees

angle 3 = 40 degrees

angle 4 = 90 degrees

angle 5 = 122.5 degrees

angle 6 = 57.5 degrees

angle 1 = angle 2 (base angles of isosceles triangle)

angle 3 = arc AB = 40 degrees

say angle 1 = angle 2 = x

angle 1 + angle 2 + angle 3 = 180

2x + 40 = 180

2x = 180 - 40

2x = 140

x = 70 degrees

angle 4 = 90 (degrees angle on a semicircle)

angle 5 = 1/2 (arc CD + arc BE) intersecting secant theorem

angle 5 = 1/2 (65 + 180)

angle 5 =122.5 degrees

angle 5 + angle 6 = 180 linear pair theorem

122.5 + angle 6 = 180

angle 6 = 180 - 122.5

angle 6 = 57.5 degrees

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Answer:

55.923 MPH

Step-by-step explanation:

Divide by 1.609

The value of the expression \(\frac{999999999\times 999999999}{1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1}\) , which involves the division of a large number is obtained by making use of a scientific calculator is; 12345678987654321

Depending on the processor of the calculator, and the number of digits the calculator can handle, the exact value following the operations with very large numbers can be obtained. Graphing calculators can also be made to increase the number of digits of precession, up to 9999 digits.

The expression in the question can be presented as follows;

999999999 × 999999999 ÷ (1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1)

The value can be computed using a calculator;

999999999 × 999999999 = 999999998000000001

(1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1) = 81

999999999 × 999999999 ÷ (1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1) = 999999998000000001 ÷ 81 = 12345678987654321

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Answer:

Step-by-step explanation:

Remember to break these apart by using the powers to determine the number the base and power make.

2^5 = 32

3^2 = 9

5 = 5

32 * 9 * 5 = 1440

The answers are:

a) 2 cakes cost £5

b) 1 cake costs £2.5.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations. It may also include exponents and/or roots. Algebraic expressions are used to represent quantities and relationships between quantities in mathematical situations, often in the context of problem-solving.

To find the cost of 1 cupcake, we need to subtract the cost of the tea from the total cost of 3 cupcakes:

3 cupcakes + 1 tea = £9

3 cupcakes = £9 - 1 tea = £9 - £1.5 (assuming the cost of 1 tea is the same in both cases) = £7.5

1 cupcake = £7.5 ÷ 3 = £2.5

So 2 cupcakes would cost:

2 cupcakes = 2 × £2.5 = £5

Therefore, the answers are:

a) 2 cakes cost £5

b) 1 cake costs £2.5.

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Step-by-step explanation:

discretion data is something that will never change

continous data is data that will continue to become either larger or smaller

discret = ticket sales, number of employees

continuous = age,height

Answer:

fsfdsesdfsesd 'jp

Step-by-step explanation:

efsdsfefsggsesds

Option (a) is correct: the t distribution with df = 1 is the most different from the standard normal distribution N(0,1).

The t-distribution with df = 1 is the most different from the standard normal distribution N(0,1).

The t-distribution is a family of distributions that is similar in shape to the normal distribution but has heavier tails. The degree of freedom (df) parameter determines the shape of the t-distribution. As the df increases, the t-distribution approaches the normal distribution.

When df = 1, the t-distribution has a very different shape from the normal distribution. It has a much higher peak and much heavier tails, making it a more extreme distribution than the normal distribution. This is because the t-distribution with df = 1 has less data to work with, which leads to more extreme values.

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Answer:

\(\frac{48}{13}\approx 3.7\)

Step-by-step explanation:

Two triangles are similar by AAA ( Angles B and B' are right angles, the two angles in C are congruent because opposite by the vertex, and the third by difference). Corresponding sides are in proportion. In particular \(x:6=8:13 \leftrightarrow 13x=6\cdot8 \rightarrow x = \frac{48}{13} \approx 3.7\)

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

The optimal solution for the given linear programming problem using the graphical solution procedure is at (A, B) = (6, 2) with the objective function value of -4.

To find the optimal solution graphically, we plot the feasible region determined by the constraints. In this case, the feasible region is a polygon bounded by the lines 2A + 3B = 12, A + 4B ≤ 21, 2A + B ≥ 7, 3A + 1.5B ≤ 21, and -2A + 6B ≥ 0. We then evaluate the objective function -2A - B at the vertices of the feasible region to determine the optimal solution. The vertex that gives the minimum value of the objective function is the optimal solution. By calculating the objective function at each vertex, we find that the minimum value of -4 is obtained at (A, B) = (6, 2). This means that the optimal solution is to set A = 6 and B = 2, and the objective function value at this point is -4. For part (b), to determine the amount of slack or surplus for each constraint, we evaluate the constraints at the optimal solution (A, B) = (6, 2). For the constraint 1A + 4B ≤ 21, the left-hand side is 1(6) + 4(2) = 14, which indicates a slack of 7 (21 - 14). For the constraint 2A + 1B ≥ 7, the left-hand side is 2(6) + 1(2) = 14, which indicates a surplus of 7 (14 - 7). For the constraint 3A + 1.5B ≤ 21, the left-hand side is 3(6) + 1.5(2) = 20, which indicates a slack of 1 (21 - 20). Lastly, for the constraint -2A + 6B ≥ 0, the left-hand side is -2(6) + 6(2) = 4, which indicates a surplus of 4 (4 - 0). These slack and surplus values represent the amount by which the left-hand side of each constraint falls short or exceeds the right-hand side at the optimal solution. A positive slack indicates that the constraint is not fully utilized, while a positive surplus indicates that the constraint is exceeded.

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Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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The $30 your friend paid back will go into the checking account, so the balance will increase by that amount. Therefore, your balance will be $17 + $30 = $47.

Mina's rate per hour when she walks 1/4 miles in 1/2 hour is 1/2 miles per hour.

Rate is the speed at which something happens or changes, or the amount or number of times it happens or changes in a particular period:

To calculate Mina's rate, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, Mina's rate per hour is 1/2 miles per hour.

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Given:

The equation is:

\(y-5=\dfrac{4}{3}(x-5)\)

To find:

The graph of the given equation.

Solution:

Point slope form of a line is:

\(y-y_1=m(x-x_1)\)               ...(i)

We have,

\(y-5=\dfrac{4}{3}(x-5)\)           ...(ii)

On comparing (i) and (ii), we get

\(x_1=5,y_1=5,m=\dfrac{4}{3}\)

It means, slope of the line is \(\dfrac{4}{3}\) and it passes through the point (5,5).

Putting x=2 in the given equation, we get

\(y-5=\dfrac{4}{3}(2-5)\)

\(y=\dfrac{4}{3}(-3)+5\)

\(y=-4+5\)

\(y=1\)

The line passes through the point (2,1).  Plot the points (2,1) and (5,5) on a coordinate plane and connect them by a free hand curve as shown below.

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Answer:

\(y = -(0.03(x-90)^2)+240\)

Step-by-step explanation:

I hope you already understand how parabolas work, so here are the steps/equations you need:

\(y=\ -\left(a\left(x-c\right)^{2}\right)+\ b\)

\(a=\frac{H}{\left(\frac{T}{2}\right)^{2}}\)

\(c=\frac{T}{2}\)

\(b\ =\ H\)

\(H = 240\)

\(T = 180\)

\(a= 0.0296296296296\)

\(c= 90\)

\(b=240\)

Now that you have "a", "c", and "b", plug them into the very first formula. This is the final result you get:

\(y = -(0.03(x-90)^2)+240\)

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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The center of mass for the given system of masses is approximately (2.625, 0.1875).

To calculate the center of mass for the given system of masses, we need to find the coordinates (x_cm, y_cm) that represent the center of mass. The center of mass can be determined by considering the weighted average of the individual masses with their corresponding coordinates.

The formula to calculate the x-coordinate of the center of mass (x_cm) is given by:

x_cm = (m1x1 + m2x2 + m3x3 + m4x4) / (m1 + m2 + m3 + m4)

where m1, m2, m3, and m4 represent the masses, and x1, x2, x3, and x4 represent the x-coordinates of the respective masses.

Similarly, the formula to calculate the y-coordinate of the center of mass (y_cm) is given by:

y_cm = (m1y1 + m2y2 + m3y3 + m4y4) / (m1 + m2 + m3 + m4)

where y1, y2, y3, and y4 represent the y-coordinates of the respective masses.

Given the following information:

m1 = 6, m2 = 5, m3 = 1, m4 = 4

(x1, y1) = (1, -1)

(x2, y2) = (3, 4)

(x3, y3) = (-3, -7)

(x4, y4) = (6, -1)

We can now substitute these values into the formulas to calculate the center of mass:

x_cm = (61 + 53 + 1*(-3) + 4*6) / (6 + 5 + 1 + 4)

= (6 + 15 - 3 + 24) / 16

= 42 / 16

= 2.625

y_cm = (6*(-1) + 54 + 1(-7) + 4*(-1)) / (6 + 5 + 1 + 4)

= (-6 + 20 - 7 - 4) / 16

= 3 / 16

The coordinates (2.625, 0.1875) represent the center of mass, which is the weighted average of the individual masses' coordinates. It is the point in the xy-plane that represents the balance point or average position of the system.

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To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Answer: its the first 3 i think

Step-by-step explanation:

Answer:they are not congruent

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

5x5+5=30

8x9+7=79

24x3+28=100

9514 1404 393

Answer:

  1200 ≈ 3769.9 cubic units

Step-by-step explanation:

The area of the triangle is given by Heron's formula:

  s = (16 +25 +39)/2 = 40

  A = √(s(s -16)(s -25)(s -39)) = √14400 = 120

Then the height is ...

  A = 1/2·bh

  h = 2A/b = 2(120)/16 = 15

The centroid of the triangle is located 15/3 = 5 units from the axis of rotation, so it will be rotated through a circle with a circumference of ...

  C = 2πr = 10π . . . units

The volume is the product of this distance and the area of the triangle, so is ...

  V = CA = (10π)(120) = 1200π . . . cubic units

The solid's volume is 1200π ≈ 3769.9 cubic units.

Answer:

\(A= 6x^2-11x-35\)

Step-by-step explanation:

Given data

Length=  2x-7

Width= 3x+5.

Area= L*W

substitute

\(A= (2x-7)* (3x+5)\)

Open bracket

\(A= 6x^2+10x-21x-35\)

collect like terms

\(A= 6x^2-11x-35\)

Hence the area is

\(A= 6x^2-11x-35\)

The area of the middle rectangle is (d1 * d2) - (A1 + A2). By using the given distances and areas, we can find the area of the middle rectangle.

To find the area of the middle rectangle, we need to use the given information about the two specified distances and the areas of the left and right rectangles. Here are the steps to follow:

Let the two specified distances be d1 and d2, and the areas of the left and right rectangles be A1 and A2, respectively.
The area of the middle rectangle can be found by subtracting the areas of the left and right rectangles from the total area of the three rectangles combined.
The total area of the three rectangles combined is equal to the product of the two specified distances, or d1 * d2.
Therefore, the area of the middle rectangle is (d1 * d2) - (A1 + A2).
Plug in the given values for d1, d2, A1, and A2, and simplify to find the area of the middle rectangle.

So, the area of the middle rectangle is (d1 * d2) - (A1 + A2). By using the given distances and areas, we can find the area of the middle rectangle.

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The primary rationale for creating the DSM was to c. describe diagnoses to be used as part of a total case formulation.

As a component of a case components assessment that culminates in an absolutely effective treatment plan for each individual, the primary rationale of DSM-5 is to assist trained clinicians in the investigation of their patients' scholarly issues. In point of fact, the indicators in the various analytical norms units never again address the full meanings of hidden issues, which illustrate mental, emotional, social, and physiological strategies that are far more confounded than could be described in those brief outlines.

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(Complete question)

The primary rationale for creating of the DSM was to Select one: a. provide guidelines for psychiatric hospitalization b. identify the etiologies of mental disorders c. describe diagnoses to be used as part of a total case formulation. d. provide justification for reimbursement for treatment

Answer:

Step-by-step explanation:

Length ( L ) = 8 cm

Perimeter of square = 4 L

( where L is the side of the square )

Plug the value of length

⇒\( \sf{4 \times 8}\)

Multiply the numbers

⇒\( \sf{32 }\) cm

Hope I helped!

Best regards!

Answer:

\(\huge \boxed{\mathrm{32 \ cm}}\)

Step-by-step explanation:

The formula to calculate the perimeter of a square is given as:

\(\sf Perimeter = 4 \times side \ length\)

The side length of the square is 8 centimeters.

\(P=4 \times 8\)

Solve for the perimeter.

\(P=32\)

The perimeter of the square is 32 centimeters.