the mass of a newborn kitten is 400 g. When it is a fully grown adult cat, its mass is 4000 g. The cat's final mass as a percentage of its newborn mass is, %​

40cm as a fraction of 2.4m is 1/6

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. In a proper fraction, the numerator is less than the denominator. e.g . 2/7, 4/5, 3/10 e.t.c

An improper fraction had it's numerator higher than it's denominator .Example is 5/2 , 7/3 e.tc.

By expressing 40 cm as a fraction of 2.4m. The first thing we have to do is making both of thesame unit. therefore ;

2.4m = 2.4×100 = 240cm

40 as a fraction of 240 = 40/240

divide through by 40

= 1/6

therefore the fraction of 40 in 240 is 1/6 i.e 240×1/6 = 40

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Answer:

y = -1/2

Step-by-step explanation:

We are given the equation -10 - 8y = 2y - 5.

We want to solve this equation for y.

To do that, we need to isolate y on one side of the equation.

To start, add 10 to both sides.

-10 - 8y = 2y - 5

+10               +10

________________

-8y = 2y + 5

Subtract 2y from both sides.

-10y = 5

Divide both sides by -10.

y = -5/10

-5/10 can be simplified to -1/2.

Hence, y = -1/2.

The minimum and maximum values, over the interval x ≥ 3, for the function f(x) = -|x - 1| + 1 graphed are -36 and 64 respectively.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Here Relative minimum are the minimum values  in the interval

Looking at the graph, we find the lowest point in the interval

Relative minimum : (-3, -36) and (3,-36)  

y value -36

Looking at the graph, we can find the highest point in the interval

Relative maximum : (0,64)  

y value 64

The minimum and maximum values, over the interval x ≥ 3, are -36 and 64 respectively.

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Answer:

x = arccos(3/4) + 2πn where n = 0,1,2,3,4, ....

Step-by-step explanation:

We can solve the equation 4cos(x) + 3 = 6 by isolating the cos(x) term on one side of the equation.

4cos(x) + 3 - 3 = 6 - 3

4cos(x) = 3

cos(x) = 3/4

Now we can find the solutions of the equation by finding the values of x that make cos(x) equal to 3/4. Since -π < x < π, we can find the solutions in the range of -π < x < π.

x = cos^-1(3/4) + 2πn, where n is an integer

x = cos^-1(3/4) + 2πn, where n = 0, 1, 2, ...

The solutions are x= cos^-1(3/4) and x = cos^-1(3/4) + 2π, x = cos^-1(3/4) + 4π

Keep in mind that cos^-1(3/4) is the inverse cosine function or arccos(3/4) so the final solution is x = arccos(3/4) + 2πn where n = 0,1,2,3,4, ....

Answer:

Below  

Step-by-step explanation:

Vertex at 8,1      and includes point 9,-1    <=====given

Vertex form :

y = a (x-8)^2 + 1

Plug in the point (9,-1)  to find 'a'

  -1 = a ( 9-8) + 1

    a = -2

                   Parabola equation is then  y = -2(x-8)^2 + 1

Answer: -5

Step-by-step explanation:

y2 - y1/x2 - x1

3 + 2/3 - 4

5/-1

-5

Answer:

Step-by-step explanation:

The company will need to hire approximately 200 freelancers in order to complete the remaining 40,000 hours of work. This is because each freelancer works 200 hours per month, so in order to complete the 40,000 hours of work in the last 4 months, the company will need to hire 200 freelancers.

Answer:

62.5%

Step-by-step explanation:

(mass of solute/mass of solution) x 100 = 62.5%

The pair of parallel lines intersected by a transversal so at least one angle is 45 degrees has an angle B'EB as 45 degrees.

In terms of geometry, parallel lines are two separate lines that never cross each other and are located in the same plane. They may be vertical or horizontal.

They are referred to be intersecting lines when two or more lines in a plane cross each other. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.

The pair of parallel lines intersected by transversal is as shown:

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Answer:

3/10

This is to reach the character limit

Answer:

3/10

Step-by-step explanation:

0.3 =

3/10  ==> since there is a non-zero number before the decimal, the

number is being divided by 10. If there was an extra 0, add a 0 to 10 and divide the number by 100. (0.3 = 3/10. 0.03 = 3/100)

Add another 0 to make 0.003, which is 3/1000 (add an extra 0 to 100 to make 1000, 10->100->1000).

Answer:

(x−h)2+(y−k)2=r2

Step-by-step explanation:

Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

A counterexample to show that the statement is false is -1<x<0 or >1

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

EXPLANATION;

Rearrange unknown terms to the left side of the equation: x^3-x>0

Factor the expression:x(x+1)(x-1)>0

Convert inequality to equation:x(x+1)(x-1)=0

Apply Zero Product Property: x=0 or x+1=0 or x-1=0

Rearrange unknown terms to the left side of the equation:x=-1

Rearrange unknown terms to the left side of the equation:x=1

Combine the results: :x=0 or :x=1  or- :x=1

Order x-intercepts from smallest to greatest: x1=-1or x2=0  or x3=1

EXPLANATION;

Rearrange unknown terms to the left side of the equation:

Factor the expression:

Convert inequality to equation:

Apply Zero Product Property: or  or

Rearrange unknown terms to the left side of the equation:

Rearrange unknown terms to the left side of the equation:

Combine the results: or  or

Order x-intercepts from smallest to greatest: or  or

Plot: As shown in figure

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The correct statement regarding the addition of the fractions is given as follows:

A. (3x² + 14x + 196)/[(x + 14)(x - 14)], x ≠ -14, x ≠ 14.

The addition of fractions for this problem is given as follows:

[tex]\frac{2x}{x + 14} + \frac{x + 14}{x - 14}[/tex]

They have different denominators, hence the least common factor of the denominator is used.

The terms at the denominator have no common factor, hence the least common factor is the multiplication of them.

Dividing the least common factor by the denominator and multiplying at the numerator, the addition of the fractions is given as follows:

[2x(x - 14) + (x + 14)(x + 14)]/[(x + 14)(x - 14)]

Expanding the numerator, we have that:

2x² - 14x + x² + 28x + 196.

Combining the like terms, the added fraction is given as follows:

(3x² + 14x + 196)/[(x + 14)(x - 14)]

The denominator cannot be zero, hence the restrictions are given as follows:

x ≠ -14, x ≠ 14.

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Answer:

22.75

Step-by-step explanation:

2a + 4c = 43.5

5a + 3c = 65

10a + 20c = 217.5

subtract

10a +6c = 130

= 14c = 87.5

c = 6.25

2a + 25 = 43.5

2a = 18.5

a = 16.5

16.5 + 6.25 = 22.75

Answer:

One adult ticket costs £9.25, and one child ticket costs £6.25.

Step-by-step explanation:

Let a = price of 1 adult ticket.

Let c = price of 1 child ticket.

"A family of two adults and four children pay £43.50. for entry."

2a + 4c = 43.5

"Another family of five adults and three children pay £65."

5a + 3c = 65

We have a system of simultaneous equation in two unknowns.

2a + 4c = 43.5

5a + 3c = 65

Let's solve the system by the method of elimination. We need to add multiples of the two equations in a way that one variable will be eliminated (add to zero).

Let's eliminate the variable a. Multiply both sides of the first equation by -5  Multiply both sides of the second equation by 2. Then add them.

      -10a - 20c = -217.5

+     10a +   6c = 130

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

                -14c = -87.5

                     c = 6.25

Now substitute 6.25 for c in the first original equation and solve for a.

2a + 4c = 43.5

2a + 4(6.25) = 43.5

2a + 25 = 43.5

2a = 18.5

a = 9.25

Answer: One adult ticket costs £9.25, and one child ticket costs £6.25.

Using the rate of the exponential growth to calculate the exponential function, the number of subscribers after 10 years is 3446

An exponential function is a function in which the variable appears in an exponent. It is of the form f(x) = aˣ, where a is a constant and x is the independent variable. The graph of an exponential function is a curve that increases or decreases at an increasing rate.

To solve this problem, we have to find the rate and then calculate the number subscribers after 10 years.

In a given exponential function;

A = P(1 + x)ⁿ

Since this is an exponential growth, we can calculate the rate as;

1 year = 250 subscriber

2 years = 3 * 250

rate = (250 / 750) * 100

rate = 30%

We can substitute the values into the formula and solve

A = 250(1 + 0.3)¹⁰

A = 3446.46

They are expected to have 3446 subscribers after 10 years

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Answer: If 34,500 copies sold in the first month of release represent 9.8% of the number of copies sold to date, we can use this information to find the total number of copies sold to date. We can set up the equation as:

(34,500 copies) / (9.8%) = (Total number of copies sold to date)

To solve for the total number of copies sold to date, we can cross-multiply and divide by 0.098:

(34,500 copies) * (100%) / (9.8%) = (Total number of copies sold to date)

(34,500 copies) * (100/9.8) = (Total number of copies sold to date)

This simplifies to:

(34,500 copies) * 10.20408163 = (Total number of copies sold to date)

Total number of copies sold to date = 353878.163.

Rounding the answer to the nearest whole number we get:

Total number of copies sold to date = 353878.

So the book has sold 353878 copies to date.

Step-by-step explanation:

352,041

Take 34,500 and divide it be 9.8.

Next, multiply it by 100.

not sure if this is the answer

The graph solution of the function is attached below;

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

Given in the question;

points to be plotted;

(-4,9) , (-1,3) , (0,1) , (2,-3)

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Answer:

Step-by-step explanation:

A line of reflection can be represented by a line of dashes that is used to reflect a geometric shape or figure over it.

A line of reflection can be represented by a line of dashes, which is the mirror line. When a shape is reflected over it, the shape is flipped over the line in a 180-degree angle, creating a mirror image of the original shape.

For example:

(Picture attached)

In this example, the horizontal line represented by the dashes is the line of reflection. If a shape is reflected over this line, it would create a mirror image of the original shape.

Please note that this representation is only for visualization purposes and it's not a mathematical representation.

Answer:

Step-by-step explanation:

Two opposite numbers are 16 units away from each other. What are the numbers?

16 : 2 = 8

-8 and 8, the distance is 16

The amount Erica earned (in dollars) from her job at the college is 16400.

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

Let, The amount she earned from her college job is, 'x'.

Therefore, The numerical form of the statement can be formed as,

(3x + 1550) + x = 67150.

4x = 65600.

x = 65600/4.

x = 16400.

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Answer:2√5

Step-by-step explanation:

5. If OR is perpendicular to PQ and O its the center of the cincunference it means that RP has the same size of QR, then all you have to do its a Pythagorean theorem

H^2=C^2+C^2

OP^2=(2√3)^2+(2√2)^2

(=)OP^2= 12+8

(=)OP^2=20

(=)OP=±√20 ∧ OP>0

(=)OP=2√5

I'm Sorry for the bad english

Reason:

1% converts to the decimal form 0.01

0.01*800 = 8

Basically we move the decimal point two spots to the left

So the 800.0 becomes 8.000 or simply 8

Answer:

8

Step-by-step explanation:

Anything in percentage format can be expressed as a fraction by dividing by 100

Thus

[tex]\textrm{1\% }= \dfrac{1}{100}[/tex]

1% of 800 is found by multiplying 800 by the above fraction
[tex]\textrm{1\% of 800 } = 800\cdot \dfrac{1}{100} = 8[/tex]

Answer:

1. Distribute the 9

2. Add 9 to both sides

3. Divide both sides by 27

4. Write the fraction in lowest terms

Step-by-step explanation:

Generally for these problems we would first distribute the 9 and that is indeed going to be the first step in this equation, although one thing to note is it's really not necessary, since you could divide both sides by 9, and 0/9 is still 0, so it kind of simplifies the problem.

From that first step we would get:

[tex]27x-9=0[/tex]

From here we want to isolate the "x" variable, which we want to achieve by removing any constants on it's side, in this case -9, and then remove any coefficients in this case 27. We usually first start by removing any constants on the variables side which we can achieve by subtracting or adding a value, depending on the sign. The important thing to note is we want to do the inverse operation, essentially what cancels it out. So to cancel out minus 9 we simply add 9 to both sides to cancel out the minus 9 and to maintain equality.

[tex]27x=9[/tex]

Now from here we want to remove coefficients which we do by dividing, since the coefficient is simply multiplying, so the inverse is division. In this case we want to divide by 27, to cancel out the multiplication of 27.

[tex]x=\frac{9}{27}[/tex]

From here we can divide both the numerator and denominator by 9 to simplify the fraction.

[tex]x=\frac{1}{3}[/tex]

The expected value of playing a single game is given as follows:

-$0.499.

As the expected value is negative, it is not a wise investment to play the NC pick 3 in the long run.

The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability.

You have to pick three digits in correct order. Considering that for each digit there are 10 possible outcomes, the probability of winning is given as follows:

1/10 x (1/10) x (1/10) = 1/1000 = 0.001.

The probability of losing is given as follows:

1 - 1/1000 = 1000/1000 - 1/1000 = 999/1000 = 0.999.

Considering that you get $500 winning, while you lose $1 losing, the distribution is given as follows:

Hence the expected value of the distribution is given as follows:

E(X) = 500 x 0.001 - 1 x 0.999

E(X) = -$0.499.

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230p – 1010 = 650p – 400 – p and 2.3p – 10.1 = 6.49p – 4 are the equations after rewriting their properties have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p.

As with other words like "equal," "equality," and "equate," the word "equa" at the start of the equation will sound familiar to you. Making things balance out is the theme of all these words. A statement of two quantities' equality is expressed by an equation.

You might still attempt to make the two sides equal even if the equation is not mathematical but rather, say, interpersonal. It might be simpler for two people to decide to remain together for a while if marriage is removed from the picture, for instance.

Given the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p

When multiplied by 100, it becomes

230p – 1010 = 650p – 400 – p

And 6.5p - 0.01p = 6.49p

So, 2.3p – 10.1 = 6.49p – 4

Thus, 230p – 1010 = 650p – 400 – p and 2.3p – 10.1 = 6.49p – 4 are the equations after rewriting their properties have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p.

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Answer: 9 inches of wire may be botten.

Step-by-step explanation: First I divided 72 by 12 to find the rate of cents for every inch of wire. I found the rate was 6 cents per inch so I did 6x9= 54.

Pls mark me brainiest if this was right and it helped you (;

Answer:

x = √52

Step-by-step explanation:

Triangle PLM and JLK are connected together at L, which means that they share the same vertex L and therefore, the angle at L is the same for both triangles.

Since PLM and JLK are both triangles, we know that the sum of the angles in each triangle is always 180 degrees.

Let's call the angle at L as a. So we have:

a + (180-a) = 180

We know that PL = 6 and PM = 12, so we can use the Law of Cosines to find the value of the angle a:

c^2 = a^2 + b^2 - 2ab*cos(C)

where c is the hypotenuse, a and b are the other two sides and C is the angle opposite to c.

c = PL = 6

a = PM = 12

b = JL = 4

c^2 = 12^2 + 4^2 - 2124cos(a)

36 = 144 - 48cos(a)

cos(a) = (144 - 36)/48 = (108/48) = 9/4

a = arccos(9/4)

Now we know the measure of angle a and we can use it in the equation of the sum of angles in a triangle.

a + (180-a) = 180

We also know that JL = 4 and JK = x and we can use the Law of Cosines again to find the value of x.

x^2 = 4^2 + 6^2 - 246cos(a)

x^2 = 16 + 36 - 24(9/4)

x^2 = 52

x = √52

Answer:

B.The operating space of the blue car is closed because the driver's line of sight is restricted.

Step-by-step explanation:

it is not the best lane because lanes depend on which direction you are going so neither a nor c were correct and the driver's straight-ahead vision is not at this angle for there is a car roof and the driver can't see it like this as if you were above the cars this perspective is from above and also not a central vision

The algebraic rule for the reflection of FG is solved to be

Transformation is a term used in mathematics to refer to the movements made by objects.

Reflection is one of the movements in transformation that involve creation of mirror image

Transformation rule for reflection over x-axis at origin (0, 0)) is

(x, y) → (x, -y)

Transformation rule for reflection over line y-axis at origin (0, 0)) is

(x, y) → (-x, y)

The reflection of line FG is done across the x axis hence the transformation rule to be used is (x, y) → (x, -y)

This is equal to the last option

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Both lines are parallel to each other, so it has no any intersection point.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The system of equation is,

⇒ 8x +10y =14   .. (i)

⇒ 4x + 5y = 4   .. (ii)

Now, By multiply by 2 in equation (ii), we get;

⇒ 2 (4x + 5y) = 4 × 2

⇒ 8x + 10y = 8  .. (iii)

Hence, By equation (i) and (iii), we get;

The both equations are parallel to each other and it has no solution.

Hence, It can never intersect each other at any point.

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