What is the binary number for 13​

Answer:

47 parts per minute

Step-by-step explanation:

423/9=47

Answer:

test score of new student = 43

Step-by-step explanation:

28 x 72 = 2016 (total points class scored)

29 x 71 = 2059 (total points class scored after student joined)

2059 - 2016 = 43

The test score of the student who joined the class is 43.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The mean test score of 28 students is 72.

A student joins the class and the mean becomes 71.

We have to find the test score of the student who joined the class.

28 x 72 = 2016

29 x 71 = 2059 (total points class scored after student joined)

The difference between 2016 and 2059 is the test score of new student.

2059 - 2016 = 43

Hence, the test score of the student who joined the class is 43.

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SOLUTION:

Step 1 :

In this question, we are meant to find the result of flipping the graph of the function shown below over the line:

Step 2 :

From the options, we can see clearly that option A is correct.

Answer:

Expressions equivalent to 16x - 12 -24x + 4.

-8x - 8 , - (8x + 8) , 8 (-x -1) , -8 (x + 1)

Step-by-step explanation:

16x -12 -24x + 4

Arranging like terms, 16x - 24x - 12 + 4 = -8x - 8

Taking common minus, =  - (8x + 8)

Taking common 8, = 8 (-x -1)

Taking common -8, = -8 (x +1)  

Answer:

The coordinates of Y' will be:  A'(4, -3)

Step-by-step explanation:

Triangle XYZ with vertices

We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.

We know that when P(x, y) is reflected in y = x, we get P'(y, x)

i.e.

The rule of y=x:

As we are given that Y(-3, 4), so the coordinates of Y' will be:

A(-3, 4) → A'(4, -3)

Therefore, the coordinates of Y' will be:  A'(4, -3)

Answer:

-20

Step-by-step explanation:

First thing you do is set up your equation:

y-17= -37

+17   +17        Next you add 17 to both sides

-------------        Follow your integer rules

y= -20

We can check this by putting it back into the solution

-20-17= -37  Integer Rules

                     You use KCC aka Keep Change Change

= -20+ -17= -37

Using Multinomial theorem, a) Without restriction, there are 23751 different ways to distribute. b) There are 14950 different ways to distribute. c) There are 243 different ways to distribute.

(a)  We can use the formula for Multinomial theorem, the number of ways to distribute n identical items among r distinct groups:

(n+r-1) choose (r-1) = (25+5-1) choose (5-1) = 29 choose 4 = 23751

 (b) If each child gets a piece of each type of candy, there are 3 pieces of candy already distributed. This leaves 22 pieces of candy to distribute without restriction. Using the same formula as before:

(n+r-1) choose (r-1) = (22+5-1) choose (5-1) = 26 choose 4 = 14950

 (c) If each child gets a piece of each type of candy and each child gets the same total number of pieces of candy, then each child must get 5 pieces of candy. This means that each child will get 2 additional pieces of candy after getting one of each type.

There are 3 ways to choose which 2 additional pieces of candy each child will get. Therefore, there are 3^5 = 243 different ways to distribute the candy.

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9514 1404 393

Answer:

  -3 < b < 3

Step-by-step explanation:

The inequality is equivalent to two inequalities.

For b ≥ 0, this is ...

  b < 3

Together with the restriction that b ≥ 0, the solution to this is ...

  0 ≤ b < 3

__

For b ≤ 0, this is ...

  -b < 3

  b > -3 . . . . multiply by -1

Together with the restriction that b ≤ 0, the solution to this is ...

  -3 < b ≤ 0

__

The solution is the 'or' of these two solutions. They can be expressed as the single compound inequality ...

  -3 < b < 3

_____

Comment on absolute value inequalities

When the inequality is of the form ...

  |p| < q

It can be written as the equivalent compound inequality ...

  -q < p < q

as we showed above.

The possible values of h, in cm, are 4x < h < 10x. To determine the possible values of h, we need to use the Triangle Inequality, which states that the sum of any two sides of a triangle must be greater than the third side.

Mathematically, this can be expressed as:

3x + 7x > h (sum of the two smaller sides must be greater than the third side)

Simplifying this inequality, we get:

10x > h

Similarly, we can write:

h + 3x > 7x (sum of the smallest side and the largest side must be greater than the third side)

Simplifying this inequality, we get:

h > 4x

Therefore, the possible values of h are 4x < h < 10x.

In simpler terms, the third side of a triangle must be larger than the difference between the other two sides, but smaller than their sum. In this case, the smallest and largest sides are 3x and 7x respectively, so the third side (h) must be greater than 4x (the difference between 7x and 3x), but less than 10x (their sum).

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Answer:

Therefore, the other side length of the Rectangle b = 4 (4/9)

Step-by-step explanation:

Although crucial information that area of the rectangle is missing we can assume it be 10 square units for understanding purposes.

Let the sides of the rectangle be a and b.

Given a = 2 1/4 units

a = 9/4 units

b=?

Area of a rectangle = product of its sides = a×b

⇒ a×b= 10

⇒ 9b/4 = 10

⇒ b= 40/9 = 4 (4/9)

Therefore, the other side length of the Rectangle b = 4 (4/9)

Answer:

Step-by-step explanation:

The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!

sorry if im wrong...  

Answer: 81 socks

Step-by-step explanation: $35 + .75s > $55 + .50s

s > 80

Barbara can buy a combination of earrings and necklaces with a total cost of no more than $144. We need to determine how many of each item she can buy within her budget.

Let's assume Barbara buys x earrings and y necklaces. The cost of earrings will be 12x, and the cost of necklaces will be 24y. According to the problem, the total cost must be no more than $144, so we have the inequality:

12x + 24y ≤ 144

To find the possible combinations, we can test different values of x and y that satisfy this inequality. Since we want to maximize the number of items Barbara can buy, we can start by setting x and y to their maximum possible values.

The maximum number of earrings Barbara can buy is 144/12 = 12 pairs. The maximum number of necklaces she can buy is 144/24 = 6 necklaces.

By trying different combinations within these limits, we find that Barbara can buy 0 earrings and 6 necklaces, spending a total of $144, or she can buy 6 earrings and 0 necklaces, also spending a total of $144.

Therefore, Barbara can either buy 6 necklaces or 6 earrings within her budget of $144.

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Answer:

its a good photo I would miss him so much if it was true

The statements is true of the function f(x)= x^2 + 6x^3 - 4 + 2x^5 is C.the graph has exactly one x-intercept

It is shown that the function has one intercept in the x direction by plotting the graph of the polynomial

The graph showed one x intercept is at the coordinate (0.778, 0)

x intercept refers to the value of x when y is zero

The graph is plotted and attached

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Answer:

Step-by-step explanation:

smelly a becasue

Answer:

The answer is 22.

Step-by-step explanation:

6x+2x+4=180

8x+4=180

8x=176

x=22

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

Step-by-step explanation:

Take 20 and 50.

20 * 50 = 1000.

We have the 2 zeros in 20 and 50 , also 2 * 5 = 10, making 3 zeroes.

Answer:

A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder​.

radius = diameter / 2 = 8/2 =4units

\(volume \ of \ cone = \pi r^2 \frac{h}{3}\)    =134.04cubic units

\(volume \ of \ cylinder = \pi r^2h\)  = 402.12 cubic units

\(volume \ of \ sphere = \frac{4}{3}\pi r^3\) = 268.08 cubic units

Leila's score of 3 x (24,500 + 3,610) - 6,780 could be the result of completing a level worth 24,500 points, earning a bonus of 3,610 points, and then incurring a penalty of 6,780 points.

Let's describe a sequence of events that might have led to Leila earning a score of 3 x (24,500 + 3,610) - 6,780.

Leila starts the game with a base score of 0.

She completes a challenging level that rewards her with 24,500 points.

Encouraged by her success, Leila proceeds to achieve a bonus by collecting special items or reaching a hidden area, which grants her an additional 3,610 points.

At this point, Leila's total score becomes (0 + 24,500 + 3,610) = 28,110 points.

However, the game also incorporates penalties for mistakes or time limitations.

Leila makes some errors or runs out of time, resulting in a deduction of 6,780 points from her current score.

The deduction is applied to her previous total, giving her a final score of (28,110 - 6,780) = 21,330 points.

In summary, Leila's score of 3 x (24,500 + 3,610) - 6,780 could be the result of her initial achievements, followed by some setbacks or penalties that affected her final score.

The specific actions and events leading to this score may vary depending on the gameplay mechanics and rules of the game.

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The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Cost of one label is 62.8 cents when the cost per box is  £33. 40  .

Given,

Cost per box = £33.40

Total sheets in a box = 150

Labels on each sheet = 14

Now,

Label on 1 sheet = 14

Label on 150 sheets = 150*14

Label on 150 sheets = 2100

Here,

Cost of one box = £ 33.40

Total labels in one box = 2100

Hence ,

Cost of one label = £33.40/2100

Cost of one label = £0.015

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Answer:

B. Reflection over the x-axis

The transformation that was applied to this boomerang is Reflection over the x-axis.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

A Figure in the graph.

A translation simply shifts a shape up, down, or from side to side without altering the object's overall appearance.

The following equation can be used to reflect a point or line segment: The point (x,y) will be reflected to from the point (x,−y)  that is being mirrored over the x-axis.

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.

A transformation known as rotation about the origin revolves or spins a figure (such as a triangle) around the origin point.

Thus, the transformation here is Reflection over the x-axis.

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Answer:

what? it seems like you just spammed anything from the web O_o

Step-by-step explanation:

Answer:

One. Kamala.

Step-by-step explanation:

Answer:

The distance from point P to point V = 17 ft.

Step-by-step explanation:

A rectangular prism is simply a cuboid,

The image describing the cuboid described, as obtained from from internet is attached to this solution. (It is redrawn to avoid the solution being removed due to violation of community guidelines)

From the image, PR, PS and SR form a right angled triangle on the case of the cuboid.

With PR as the hypotenuse side, using Pythagoras theorem,

(PR)² = (PS)² + (PR)²

(PR)² = 12² + 9² = 144 + 81 = 225

PR = √225

PR = 15 ft.

On a second evaluation, the required length, PV, PR and RV form another right angled triangle with PV as the hypotenuse side, using Pythagoras theorem again,

(PV)² = (PR)² + (RV)²

(PV)² = 15² + 8² = 225 + 64 = 289

PV = √289

PV = 17 ft.

Hope this Helps!!!

Answer: C

Step-by-step explanation:

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

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