1 pound is closest in weight to which one of the following Metric units of weight? 450 grams 4,500 centigrams 0.045 kilograms 45,000 milligrams​

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

168 students are enrolled in both classes.

This is a problem from set theory. We can solve this problem by following a few steps easily.

First of all, we have to calculate the students present in both classes.

Student present in both classes = the total student - the student not enrolled in both classes.

So the percentage of the students enrolled in both classes or any of one class is ( 100% - 42% ) = 58%.

Now, the students only enrolled in chorus class is ( 58% - 34%) = 24%

So, the students who joined both classes is ( 28%- 24%)= 4%

The total student is 1200, then 4% of the total student is

( 1200 × 14 )/100 = 168 students.

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Answer:

\(\sqrt{13}\) units

Step-by-step explanation:

The distance formula is \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) where \(d\) is the distance between points \((x_1,y_1)\) and \((x_2,y_2)\). Let \((x_1,y_1)\rightarrow(5,1)\) and \((x_2,y_2)\rightarrow(3,4)\), thus:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(3-5)^2+(4-1)^2}\\\\d=\sqrt{(-2)^2+(3)^2}\\\\d=\sqrt{4+9}\\\\d=\sqrt{13}\)

Therefore, the distance between points P(5,1) and Q(3,4) is \(\sqrt{13}\) units.

The value of XZ is given by 26.

Given that the triangles RST and XYZ are congruent to each other.

So, RS = XY, since corresponding parts of Congruent triangles are equal.

Given also that,

RS = 11x-1

XY = 9x+5

XZ = 7x+5

So, RS = XY gives

11x-1 = 9x+5

11x-9x = 5+1

2x = 6

x = 6/2

x = 3

Substituting the value of x in the value of XZ is given by,

XZ = 7x+5 = 7*3+5 = 21+5 = 26

Hence the value of XZ is 26.

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Answer:

A

Step-by-step explanation:

The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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Step-by-step explanation:

what "normal" trigonometric function did this remind us of ?

it starts at "high" for x = 0.

"high" signs mean "1" for the standard functions.

the trigonometric function that starts with 1 at x = 0 is cosine.

so, this is a cosine function that we need to scale properly.

original value : 1

graph : 15

original value : -1

graph : 12

original value : 0

graph : (15+12)/2 = 27/2 = 13.5

so, we need to add this to the cosine function result.

the distance from the 0 level (13.5) to high or low is 1.5 (instead of originally 1).

Du, we need to stretch the cosine function result to go from -1.5 to +1.5 (12 to 15).

and for the x-axis :

12 hours = 180° or pi (the interval for cosine to go from +1 to -1).

1 hour = 180/12 = 15° or pi/12.

so, for cosine to react to the hour value as for the curdling degrees we need to multiply x by 180/12 or by pi/12.

so, our temperature function temp(x) is then

temp(x) = 1.5×cos(x×180/12) + 13.5

or

temp(x) = 1.5×cos(x×pi/12) + 13.5

The perimeter of the room is 624 inches.

We need 657 tiles to cover the floor.

We need to add 66 extra tiles to account for the overage due to grout and waste.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Length = 10 ft 9in

Width = 15ft 3 in

a.

Perimeter = 2 (Length + Width)

Length = 10 ft 9 in = (10 x 12) + 9 = 129 in.

Width = 15 ft. 3 in. = (15 x 12) + 3 = 183 in

Perimeter.

= 2(129 + 183)

= 624 in.

b.

Area = Length x Width

Area = 129 in. x 183 in

Area == 23,607 in²

Each tile covers an area of 6 in. x 6 in

Area of tiles = 36 in²

So,

The number of tiles required.

= Area ÷ Tile area

= 23,607 in² ÷ 36 in²

≈ 656.3 tiles.

c.

10% of 657

= 10/100 x 657  

= 0.1 x 657

= 65.7

= 66

Thus,

The perimeter of the room is 624 inches.

We need 657 tiles to cover the floor.

We need to add 66 extra tiles to account for the overage due to grout and waste.

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The value of a in the equation 60°a = [? ]° is dependent on the value of [? ].

To solve for a in the equation 60°a = [? ]°, we need to isolate a on one side of the equation. We can do this by dividing both sides of the equation by 60°:

60°a / 60° = [? ]° / 60°

This simplifies to:

a = [? ]° / 60°

Since we don't have the value of [? ]°, we cannot determine the exact value of a. However, we can simplify the expression by canceling out the ° units:

a = [? ] / 60

Therefore, the value of a is dependent on the value of [? ].

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Answer:

$518.85/x

Step-by-step explanation:

$582.85 - $64 = $518.85

$518.85/x = How much each player would get

Answer:

1. (582.85-64)/p

2. 64.85

Step-by-step explanation:

i did the assignment and got it correct.

hope this helps!

Answer: gurl you think i know

Step-by-step explanation:

Without more information or a diagram, it's not possible to definitively determine which side-angle relationship (ASA, AAA, SSS, SAS) the triangle fits. These acronyms represent different combinations of sides and angles known in a triangle.

Given the question, it's clear that we are discussing a concept in Geometry - the side-angle relationships in a triangle. However, without more information or an accompanying diagram, it isn't possible to definitively determine which of the side-angle relationships (ASA, AAA, SSS, SAS) the triangle fits. These acronyms represent different combinations of side and angle information known about a triangle. For example, ASA means that we know two Angles and the Side between them. SAS relates to knowledge of two Sides and the Angle between them, and so forth. More information or a visual representation would allow a more conclusive answer.

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Answer:

equation of the line is

10x-y=19

Step-by-step explanation:

Given:

(2,1) parallel to 10x-y=2

we have to find the slope

10x-y=

=>y=1x-2

Therefore slope of the line is

m=10

Now, equation of the slope m passing through a point (x1, y1)

is y-y1=m(x-x1)

Here the point is (2,1) and slope m=10.

=>equation of the line is:

 y-1=10(x-2)

 y-1=10x-20

 20-1=10x-y

19=10x-

=>10x-y=19

Hence the equation of the line

is 10x-y=19.

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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The correct answer is O 1:2:3. In a free-falling object, its acceleration due to gravity is constant.

Distance is the physical separation between two points or objects. It is usually measured in miles, kilometers, or meters. Distance can be used to measure the length of a journey, the size of an area, or the difference between two locations. Distance is also used to measure the time taken to travel, the speed of an object, or the strength of a signal. Distance is an important concept in physics and mathematics, and it is fundamental to the understanding of the universe.

This means that the distance covered in each 1-second time interval is directly proportional to the square of the time elapsed. Therefore, the ratio of distances traveled during each 1-second time interval by the object during the first, second, and third seconds of its fall will be 1:2:3.

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By the SSS Congruence Theorem, △ABC ≅ △DEF.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

What is the SSS rule?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer

The maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the height of the space in which boxes are needed to be stored is 36 inches high. Also, the height of the box is 6 inches.

But a space of 9 inches must be left at the top. Therefore, the space left to keep the boxes is,

Space left to keep the boxes = 36 inches - 9 inches

                                                 = 27 inches

Now, the number of boxes that can be put in the leftover space is,

Number of boxes = 27 inches / 6 inches

                             = 4.5

Since a half box can be placed in the space, therefore, the number of boxes that can be in the space is 4.

Hence, the maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.

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Answer:

400 litres

Step-by-step explanation:

Multiply assets by ratio

200,000 x 0.29 = $58,000

answer: c. $58,000

the answer is 2,4,6,8,10

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

4.5

Step-by-step explanation:

18 divided by 4 equals 4.5

Answer:

g(-3) = -27

Step-by-step explanation:

g(x) = -2x² + 3x ---> g(-3)

g(-3) = -2(-3)² + 3(-3)

g(-3) = -2(9) + 3(-3)

g(-3) = -18 - 9

g(-3) = -27

Hope this helps, thank you :) !!

The probability of landing on the red shaded circle is 6/18

Probability simply measures the chances at which an event could occur in a sample or population.

Mathematically, Probability is calculated thus:

Here ,

P(red circle ) = 6/18

Therefore, the probability is 6/18

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The true statement about the quadrilateral will be (a) Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.

The coordinates are given as:

E(7, 10), F(4, 7), G(6, 5), H(9, 8)

To determine if the quadrilateral EFGH is a rectangle, the following statements, must be true.

Opposite sides must be congruent.

Opposite sides must have equal slopes.

Adjacent sides must have opposite reciprocals as their slopes.

Therefore, The above highlight means that the true statement is (a)

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Answer:

A- Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.

Step-by-step explanation:

Answer:

a, c, b

Step-by-step explanation:

ITS CORRECT TRUST MEEE

Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)