candace works at a chocolate factory that makes 2,850 chocolates in 30 minutes. what is the constant of proportionality that relates the number of chocolates, y, to the minutes, x?

The equation of straight line in the cartesian plane with slope and y-intercept of -1 is  y+x+1=0

A straight line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.

Given the slope = y-intercept= -1

Therefore m = -1 and c = -1 .

Substituting the values of m and c in the general equation of a straight line we get :

y = -x - 1

or, y + x+ 1 = 0

Therefore the equation of the straight line is y + x+ 1 = 0.

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The square root of 11 and 62 to the nearest tenth is 7.9 and 3.3 .

Given, the numbers are 11 and 62.

we are asked to determine the square root of the given numbers to the nearest tenth.

a. 11

Since the given number is not an even number, hence we can't get a whole number as the square root of 11.

we need to find the number whose square root is nearest to the number 11.

3 × 3= 9

9 is nearer to 11 whereas 4 × 4 = 16 gets greater than 11.

then dividing the number 11 by 3.we get:

√11 = 3.31662479  × 3.316622479

√11 = 3.31662479

√11 = 3.4 (rounding off to the nearest tenth)

b.  62

since we can't get the square root as a whole number so ,

we need to find the number whose square root is nearest to the number 62.

8 × 8 = 64

which gets greater than 62, hence we take 7 × 7 = 49

therefore, √62 = 7.874007874 × 7.874007874

√62 = 7.874007874

√62 = 7.9 (rounding off to the nearest tenth)

hence we get the square root of 11 and 62 as 3.3 and 7.9 respectively.

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Answer:

Angle BOC = 120°

Angle DOC = 60°

Angle ODC = 90°

Step-by-step explanation:

Triangle ABC is an equilateral triangle, therefore Angle BAC = 60°.

Now that we know Angle BAC, we can find Angle BOC: 2 × 60 = 120°

Angle DOC = ½ Angle BOC ( Radius drawn from centre to midpoint of chord, bisect the angle)

So Angle DOC = ½ (120) = 60°

Angle = 90° because D is the midpoint of chord BD and OD is a radius.

For this analysis,  4/25  is the f-ratio.

What is f- ratio?

SS between = 30

SS within = 60

Mean square of regression = 30/2 = 15

Mean square of error = 60/15 = 4

So f ratio = 15/4 = 3.75

So it's answer is D.

Solution(15)

Df between = Df total - Df within = 29-27 = 2

So it's answer is b. I.e. 2

Solution(16)

If Df = 18 and there are two independent sample than total sample size = 18+2 = 20

So it's answer is A

Solution(17)

N1=10

N2 = 15

So DF = 10+15-2 = 23

So it's answer is C. I.e. 23

Solution(18)

D = (M1-M2)/spooled = (35-31)/25 = 4/25

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The vector function, r(t) that represents the curve of intersection of the two surfaces, the paraboloid and the parabolic cylinder is given by < t, 3t2, 8t2 + 9t4 >. It is attained by applying the concept of vectors to the assigned problem.

What is a vector?

A vector is any quantity that contains both magnitudes as well as direction. Geometrically, one can imagine a vector as a directed line segment, whose length denotes the magnitude of the vector and the direction is shown by the arrow, which is generally taken from its tail to its head. Using an arrow with a line specifies that it is not only scalar but also has some direction.

Calculation of the vector function representing the curve of intersection of the paraboloid and parabolic cylinder

A vector function r(t) is represented as: r(t) = < x, y, z >

Given: y = 3x2                         – 1

z = 8x2 + y2                             – 2

Let,

x = t

Using x = t in equations 1 and 2

y = 3t2

z = 8t2 + y2

Putting the value of y in z, we get,

z = 8t2 + (3t2)2

z = 8t2 + 9t4

Substitute  these values of x, y, and z in vector representation to obtain the result, i.e. < t, 3t2, 8t2 + 9t4 >

Hence, the value of vector function r(t) is: < t, 3t2, 8t2 + 9t4 >

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The proper format for scientific notation is a x 10^b , 6.75 × 10⁹ is the scientific notation for 6,750,000,000.

The proper format for scientific notation is a x 10^b where a is a number or decimal number.

Given number is 6,750,000,000, we need to write in scientific notation.

To write the number to scientific notation, we need to follow few rules, Move the decimal so there is one non-zero digit to the left of the decimal point.

The number of decimal places you move will be the exponent on the . If the decimal is being moved to the right, the exponent will be negative.

If the decimal is being moved to the left, the exponent will be positive.

6,750,000,000 = 6.75 × 10⁹

Therefore 6.75 × 10⁹ is scientific notation for 6,750,000,000.

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Based on the fact that town is 2 miles away, the time it took Trinity to travel to town and back was 33 minutes

The time taken can be found as:

= Distance / Speed

Trinity's trip to town took:
= 2  / 4

= 0.5 hours

Trinity's trip back took:

= 2  / 40

= 0.05 hours

The total time it took Trinity to travel to and from town was:

= (0.5 + 0.05) x 60 minutes per hour

= 0.55 hours x 60

= 33 minutes

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There are 3 cars to be needed for the remaining 15 persons in Ethel club.

Unitary method:

Unitary method used to find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given,

27 people will travel for bowling.

As there is only one van.

and in that one van only 12 people can go.

so remaining people will go by car

no. of people that they will go by car

=> 27 - 12 = 15

in one car 5 people can go

no. of cars needed to take people=no. of people/no. of cars

=> 15 / 5 = 3

Therefore 3 cars will be needed.

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Answer:

22) -3jk+12k^2---------24)-3xy^4-7xy^3

Step-by-step explanation:

The interval at which the function f ( x ) = - ( x + 8 )² - 1 is decreasing is [-8, ∞).

We are given the function:

f ( x ) = - ( x + 8 )² - 1

We will first simplify the expression:

f ( x ) = - x² - 64 - 16 x - 1

f ( x ) = - x² - 16 x - 65

Now, we will plot the function on a graph.

Now, we can see that, the function is decreasing at [-8, ∞) from the graph of the function.

Therefore, the interval at which the function f ( x ) = - ( x + 8 )² - 1 is decreasing is [-8, ∞).

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Answer:

$3.53

Step-by-step explanation:

$30.01- the eggs $5.30= $24.71

24.71÷7= 3.53

The simplified expression for the expression 2y - 7x + 4x² + 3y + 7x is

D. 5y + 4x²

Option D is the correct answer.

We have,

To simplify the expression 2y - 7x + 4x² + 3y + 7x, we combine like terms:

The like terms are:

2y and 3y

-7x and 7x

Group the terms with "y" together: 2y + 3y = 5y

Group the terms with "x" together: -7x + 7x = 0

Combining (1) and (2) for the expression.

Now the expression becomes:

5y + 4x²

Thus,

The simplified expression for the expression 2y - 7x + 4x² + 3y + 7x is

D. 5y + 4x²

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Answer: software, hardware, input device, operating system

Step-by-step explanation:

Answer:

windows-software

mouse-input device

microsoft word-operating system

motherboard-hardware

Step-by-step explanation:

The shortest distance from the center of a circle to a point on the circle is the radius.

The circular line is drawn equidistant from the center point of a circle, which is a two-dimensional geometry object on a plane.

Any line segment connecting a circle's center to its perimeter is considered a circle's or sphere's radius, and in more recent usage, their length is also considered.

The radius of a circle is the shortest path between any two points on the circle.

Therefore, the shortest distance from the center of a circle to a point on the circle is the radius.

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The volume of cube whose edge length is 0.843 is 0.599 cubic centimeters.

According to the given question.

Length of the edge of the cube = 0.843 cm.

As we know that, a cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.

And the volume of cube is calcualted by the formula

V = a^3

Where,

V is the volume of cube

And, a is the length of the edge of cube

Therefore,

The volume of the cube whose edge length is 0.843 cm

= (0.843cm)^3

= 0.599 cubic centimeters

Hence, the volume of cube whose edge length is 0.843 is 0.599 cubic centimeters.

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Answer:

a

Step-by-step explanation:

The commutative property is related to both addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result.

Since the question specifically asked for multiplication, the answer is a.

Answer:

p+4

Step-by-step explanation:

The best estimation for the area of the triangle is option (C) 21 square units  

The base of the triangles = 6 units

The height of the triangle = 7 units

We know,

The area is  the total space taken by the surface of an object.

Area of the triangle is the half the product of its base length and height.

The area of the triangle = (1/2)×b×h

Where b is the base of the triangle

h is the height of the triangle

Substitute the values in the equation

The area of the triangle = (1/2)× 6× 7

= (1/2)× 42

= 21 square units

Hence, the best estimation for the area of the triangle is option (C) 21 square units  

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In the expression:

[tex] - 2(x - 5) - 3(4x + 4)[/tex]

Apply the rule of BODMAS which states that bracket comes first, and we know that when a number is outside a bracket, it means the number will multiply the number(s) in the bracket. Infact, bracket means multiplication. So, -2 will multiply the values in the bracket beside it, and -3 will multiply the values in the bracket beside it. When that is done, combine everything together (always observe the mathematical signs)

[tex] - 2x + 10 - 12x - 12[/tex]

Now, collect like terms.

[tex] - 2x - 12x + 10 - 12[/tex]

Therefore, final answer is:

[tex] - 14x - 2[/tex]

The value of x is 1/ 5

Algebraic expressions are expressions that comprise of variables, factors, coefficients, terms and constants.

They are also made up of mathematical operations such as addition, division, multiplication, subtraction, etc

Given the expression:

3/ 5x + 22 = 28

collect like terms

3/ 5x = 28 - 22

3/ 5x = 6

cross multiply

5x × 6 = 3

30x = 6

Makr 'x' the subject

x = 6/ 30

x = 1/ 5

Thus, the value of x is 1/ 5

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Answer:

2x+y=-2

-9x-3y=18

So what you would do is see which one you would like to get rid of (either x, or y in this situation get rid of y)

multiply y by postive 3

3(2x+y=-2)

6x+3y=-6

-9x-3y=18          (both y's cross out since 3y+-3y is equal to zero)

-----------------

-3x=-24 (divide both sides by -3)

---     ---

-3      -3

x= 8 (neg/neg=positive)

Then figure out the x so use either the first or second equation

so in this case I will use the first equation (plug in the x for 8)

2(8)+y=-2

16+y=-2

-16    -16

---------------

y=-18

Check:

2x+y=-2

2(8)+y(-18)=-2

16+-18=-2

-2=-2 (therfore you know that you are right)

Ansers:

y=-18

x=8

Hope this helps!

The coordinates of the mid point of the given points  (4,-1) and (3,-2) is found as (x,y) = (3.5, -1.5).

In response to the question, we have -

A (4,-1)and B(3,-2) are our two coordinate points.

We must determine the midpoint of the this line AB.

x(m) = [x(1) + x(2)]/2

y(m) = [y(1) + y(2)]/2

A is the first coordinate point (4,-1).

Point B is the second coordinate (3,-2).

Put the given points;

x(m) = [4 + 3)]/2

x(m) = 7/2 = 3.5

Now, for y;

y(m) = [y(1) + y(2)]/2

y(m) = [-1 -2]/2

y(m) = -3/2 = -1.5

Therefore, we get - using the Mid - Point formula (x,y) = (3.5, -1.5).

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Answer:

99

Step-by-step explanation:

9 × 11 = 99

Answer:99 you got it right.

Step-by-step explanation:

its easy for a seventh grader.

The distance between -2 3/5 and -1​ on a number line is -1 3/5.

A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is -2 3/5.

In order to determine the distance, -1 would be subtracted from -2 3/5

[tex]-2\frac{3}{5} - (-1)[/tex]

[tex]-2\frac{3}{5} + 1[/tex]

[tex]-\frac{13}{5} + \frac{5}{5}[/tex]

[tex]\frac{5 - 13}{5}[/tex]

-8/5 = -1 3/5

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Answer:

Step-by-step explanation:

The numerical form of the statement the product of 9 and a number is

9n - 9.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The given statement is 9 is subtracted from the product of 9 and a number.

Let the number be 'n'.

Therefore, The statement 9 is subtracted from the product of 9 and a number can be numerically written as,

9n - 9.

We can also take 9 as a common factor,

9(n - 1).

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Answer:

2949.44 Step-by-step explanation: 18,434x4 - four trucks = 73736 73736x.04-2949.44

Answer:

30/32

Step-by-step explanation:

15×2=30

16×2=32

30/32

Answer:

5:2 , 30:12 , 60:24 , etc.

Step-by-step explanation:

To identify ratios equivalent to 15:6, all you need to do is multiply or divide both numbers in the ratio by the same amount to find an equivalent ratio.

So, for example:

1:2 --> 1*2 : 2*2 = 2:4 Both one half, so equal.

Now for 15:6...

Let's divide by the least common denominator ( 3 )

15 / 3 and 6 / 3 = 5 and 2

So 15:6 = 5:2

And we can also multiply the ratio by any constant as well...

For example 15 * 2 and 6 * 2

So 30:12 = 15:6

Hope this helped!

Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.

We are given that:

Pamela wants to make a three legged stool.

She has two pieces of wood: 36 inches and 21 inches.

Length of each leg = 16 inches.

Now, she cut 1 leg from each piece of the wood.

Length of wood pieces left will be given by the expression:

36 inches - 16 inches = 20 inches

and

21 inches - 16 inches = 5 inches.

Yes, Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.

Therefore, Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.

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