Is there a connection between a student's dominant hand and their
size
(8 points)

Answer: 340

There's 7 days in a week. Meaning that you have to do 45 x 7 which is 315. since theres a 25 dollar gps fee you have to add 315 to 25 which is equal to 340

The required value of k will the system of linear equations has infinite number of solutions is 8.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given set of equations is

kx + 4y = k - 4 ...(i)

16x + ky = k ...(ii)

We apply Cramer's rule to find the value of k.

Here,

D = k² - (16 × 4)

= k² - 64

= (k + 8) (k - 8)

D1 = k (k - 4) - 4k

= k² - 4k - 4k

= k² - 8k

= k (k - 8)

D2 = k² - 16 (k - 4)

= k² - 16k + 64

= (k - 8)²

= (k - 8) (k - 8)

For infinite number of solutions, we must have

D = 0 = D1 = D2

⇒ k = 8,

since (k - 8) is the common factor in D, D1 and D2.

∴ the required value of k is 8.

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Answer:

Step-by-step explanation:

x represents the numbers of months and y represents the insect

population.

We are told that:

  1) we start with 125 insects, and

 2) the rascals double each month

Lets use m for months they double from the start of 125 insects.).

We can form an equation that will predict the insect population as a function of the numbers of months, m, from the start (125 insects).

Month 0 is 125

Month 1 would be 125*(1+1) or 125*2

 We can rewrite this as 125*2^1

Month 2                 125*2^2  [It dounbes again]

Month 3                  125^3     [It dounbes yet again]

Month 4                  125^4     [And again]

Month 5                  125^5     [And so on to Infinity and Beyond]

The pattern is 125*(2)^m. where m is months since the starting month of 0.

Insect Population(m) = 125*(2)^m

See the attached graph.

An algebraic expression (w + 6) (w+8)  for the given rectangular sandbox represents the total area of the rectangular sandbox and cement walkway.

As given in the question,

For the given rectangular sandbox,

Let w represents the width of the rectangular sandbox.

Length of the rectangular sandbox is given by (w + 2 )foot

On the entire surrounding of the rectangular sandbox there is 3 foot wide cement walkway

Length of the rectangular sandbox including cement walkway

= w + 2 + 3 + 3

= w + 8

Width of the rectangular sandbox including cement walkway

= w + 3 + 3

= w + 6

Area of the rectangular sandbox including cement walkway is represented by the algebraic expression :

= Length × width

= (w + 6) (w+8)

Therefore, the given algebraic expression  (w + 6) (w+8) represents the area of the rectangular sandbox including cement walkway.

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Answer:

m<1=41°

Step-by-step explanation:

m<1 and m<4 are vertically opposite angles, making them equal. We know m<4=41°, so we can say m<1=41° too.

a. Graph the system:

The two lines will intersect at the point (2,-5). The first line will cross the y-axis at (0, 1), and the second line will cross the y-axis at (0, -6). The lines will be in different slope-intercept form.

What exactly is a math graph?

In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).

b. What are the equations of the lines:

To find the equations of the lines, we can use the point-slope form of a line: y - y1 = m(x - x1)

Given the point (0,1) on the first line, the slope of the first line is m = (y2 - y1) / (x2 - x1) = (-5 - 1) / (2 - 0) = -3

so the equation of the first line is y = -3x + 1

Given the point (0,-6) on the second line, the slope of the second line is m = (y2 - y1) / (x2 - x1) = (-5 - (-6)) / (2 - 0) = 1/2

so the equation of the second line is y = 1/2x - 6

c. Check that (2,-5) is the solution of the system of equations you wrote in problem 2b.

To check that (2,-5) is the solution of the system of equations we need to substitute x=2 and y=-5 in both equations

for the first equation:

-5 = -3*2 + 1 = -6 + 1 = -5

for the second equation

-5 = 1/2*2 - 6 = 1 - 6 = -5

as we can see that both equation are true for x=2 and y=-5 so the point (2,-5) is the solution of the system of equations.

The graph will be two lines crossing each other at point (2,-5) and both lines crossing the y-axis at different points (0,1) and (0,-6) respectively.

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The factor of the given expression [tex]x^4-5x^2-36=0[/tex] is -2i, 2i, -9 and 9.

In the given question, we have to find the solutions of the equation [tex]x^4-5x^2-36=0[/tex] using factoring to solve.

The given polynomial is [tex]x^4-5x^2-36=0[/tex].

We can write this expression as

[tex](x^2)^2-5x^2-36=0[/tex]

The multiplication of first and third term is 36 and the middle term is 5. So the possible factors are 4 and 9.

So the factor of the given expression is

[tex](x^2)^2-(9-4)x^2-36=0[/tex]

[tex](x^2)^2-9x^2+4x^2-36=0[/tex]

Now taking the common

[tex]x^2(x^2-9)+4(x^2-9)=0[/tex]

[tex](x^2+4)(x^2-9)=0[/tex]

Now taking the factor equal to zero.

[tex]x^2+4=0[/tex]

Subtract 4 on both side, we get

[tex]x^2 = -4[/tex]

Now taking the square root on both side, we get

[tex]x = -2i,+2i[/tex]

The second factor is

[tex]x^2-9=0[/tex]

Add 9 on both side, we get

[tex]x^2=9[/tex]

Taking square root on both side, we get

[tex]x = 9,-9[/tex]

Now the factor of the given expression [tex]x^4-5x^2-36=0[/tex] is -2i, 2i, -9 and 9.

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Answer:

y=3x+18

Step-by-step explanation:

the slope is 3

y-6=3(x+4)

y-6=3x+12

y=3x+18

For a set population, a parameter does not change. A parameter is a numerical value that describes some aspect of a population, such as the mean, median, or standard deviation.

It is a fixed value that represents the entire population and does not change as new data is collected.

If there are three different samples of the same size from a set population, it is possible to get three different values for the same statistic.

Because a sample is a subset of a population, the values of statistics calculated from samples will vary depending on the specific individuals or observations that are included in the sample. Even if the samples are of the same size, they will likely have different values for the statistics because of the randomness of sampling.

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Answer:

Shorter leg of triangle: 4cm

Step-by-step explanation:

So, we are told   is the longer leg, let's say this is a. [tex]4\sqrt{15} = \sqrt{240}[/tex], the Pythagorean theorem is [tex]a^2+b^2=c^2[/tex] , we'll say b = shortest leg, which is what we're solving for.

Since the hypotenuse (c), is 4 times b I changed it to 4b in my equation. [tex]\sqrt{240} + b =4b[/tex], square this to get [tex]240 + b^2 = 16b^2[/tex], -b^2 on both sides, [tex]240 = 15b^2[/tex]  then divide by 15. [tex]16=b^2[/tex] , use square root and you get 4 = b. To find hypotenuse, which isn't needed for your answer multiply by 4.

Hypotenuse: 16 cm

Shorter leg: 4 cm

As given 4x+y<2 but y>-2, so the only linear inequality are 4x+(-1)<2, 4x+(0)<2 and 4x+(1)<2, graph these three and we have it.

Linear functions are used in mathematical linear inequalities. Because both sides in these functions are not equal, an equal sign cannot be used to denote them. In general, an inequality can be both an algebraic inequality and a generic inequality.

The definition of a linear inequality includes expressions with unequal sides. In this case, the equal sign is replaced by the symbols greater than, less than, greater than or equal to, and less than or equal to. Inequality can take many different forms. These three types of inequality are rational, absolute value, and polynomial.

The graph for the given linear inequality is given below↓↓↓

Every point in the dark purple zone represents

4x + y < 2

y > -2

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Answer:

C) 75

Step-by-step explanation:

Put the set of number in order from biggest to smallest.

Then you will see that your two middle numbers are 75 and 75. Add 75 + 75= 150 then divide that by 2. Which equals 75.

Answer:

Step-by-step explanation:

Let's call the number of women in the club "W", the number of men in the club "M", and the number of children in the club "C".

We may deduce from the facts provided that:

The club has a membership of 60 people.

Because women make up half of the club's membership, W = 60 / 2 = 30.

Because there are three times as many women as males in the club, W = 3M.

The remaining members of the club are youngsters, therefore C = 60 - W - M

The male-to-child ratio is n:1.

We know that W=30 from the first equation.

We may use the second equation to replace in the value of W to get 3M = 30. So, M = 30/3 = 10.

We can calculate the number of children in the club by inserting the values of W and M: C = 60 - W - M = 60 - 30 - 10 = 20

Now we may calculate the child-to-male ratio: C:M = 20:10 = 2:1. As a result, the value of n is 2.

Answer:

n=2

Step-by-step explanation:

Total 60 people in the club

Half are women ==> number of women = 60/2 = 30

Rest are are  men and women so rest = 30

This number is 3 times number of men

Number of men = 30/3 = 10

Number of children = 30 -10 = 20

Ratio of children to men: 20:10 or 2:1

So n= 2

The exact amount of grass will depend on the size of the backyard, how large the pool and walkway will be, and any other features that will need to be included.

The amount of grass the Thompson family will need to plant in their backyard will depend on the size of their backyard, as well as the size of the pool and walkway they plan to install. The larger the backyard, the more grass they will need. The size of the pool and walkway will also factor into the equation, as these will take up space in the backyard and reduce the amount of grass that can be planted. Additionally, any other features, such as a patio or deck, will also need to be taken into account, as these will also reduce the amount of grass that can be planted. Ultimately, the exact size of the grass area in their backyard will depend on all of these factors and can only be determined once these details are known.

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The diapers of brand B that cost $39.99 for 100 diapers is a better buy that the diapers of brand A that cost $24.94 for 60 diapers.

We must utilize the unitary method in this elementary algebra issue, which is nothing more than figuring out the price per diaper in both of the cases. The cost per diaper from Brand A which has 60 diapers worth $24.94 is to be determined. As a result, since 60 diapers cost $24.94, 1 diaper must cost $24.94/60, or around 42 cents per diaper. When we repeat the job for the Brand B, we see that 100 diapers cost $39.99, making 1 diaper cost $39.99/100, or 40 cents per diaper. Now that each diaper costs less when bought from Brand B, it turns out to be a superior purchase.

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The estimated gradient of the curve at x=3 is given by the value of m.

Tangent is a line or surface that touches a curve or curved surface at one point and is perpendicular to the curve or surface at that point. It is a fundamental concept in geometry and calculus and can be used to calculate the slope of a curve at any given point. It also has many applications in engineering, physics, and other fields.

The gradient of the curve at x=3 can be estimated by the tangent drawn on the graph. In the diagram, the gradient of the tangent is given by the slope of the line, m. This can be determined using the formula, m= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plugging in the coordinates of the point of tangency on the graph and the coordinates of a point on the tangent, we get:

m= $\frac{f(3)-f(4)}{4-3}$

Therefore, the estimated gradient of the curve at x=3 is given by the value of m.

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A variable's value that, when substituted into the equation, results in a true assertion is known as the solution. The process of finding the solution to an equation is called solving the equation.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                      Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

To insert a value into an equation, what does that mean?

By solving for one variable, you can then enter that expression into the other equation using the substitution approach.

                         Making sure you are always substituting equivalent values is crucial in this situation. For instance: Sean is five years older than his daughter, who is his son's age.

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450 envelopes if Binita decides to purchase them. Binita will have to pay 0.72 pounds (£) in order to purchase the envelopes from Value World.

Calculating the cost of value in the world is the second step.

Cost =  450 / 25 × 3.29

Cost = 59.22

The second step is to calculate the cost of value world

Cost = 450 /30 × (1.95 ×2)

Cost = 58.50

Let's now determine how much it would cost to purchase envelopes from Value World.

Cost = 59.22 - 58.50

Cost = 0.72 pounds

As a result, the price is 0.72 pounds.

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when two values are multiplied together, the result will be a new value that is the sum of the two original values multiplied by each other. Therefore, the product of XA and X+b is X2 + Xb.

The product of XA and X+b is XA(X+b).

XA(X+b) = X(A)(X+b) = X2 + Xb

The product of XA and X+b can be expressed as XA(X+b). This is the same as X(A)(X+b), which can be further expanded to X2 + Xb. This means that when two values, XA and X+b, are multiplied together, the result is a new value that is the sum of X2 and Xb. In other words, the product of XA and X+b is the sum of X multiplied by itself and X multiplied by b. This means that when two values are multiplied together, the result will be a new value that is the sum of the two original values multiplied by each other. Therefore, the product of XA and X+b is X2 + Xb.

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The binomial formula to find the coefficient of the t^17q^2 term in the expansion of (t+2g) ¹⁹ is 32.06.

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To determine the separation between two points in a coordinate plane, we analyze the distance formula. We can use this to study the connections between points and resolve mathematical issues.

A mathematical method called the distance formula is used to determine how far apart two points in a coordinate plane are from one another. The Pythagorean Theorem, which states that the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides, is the source of the formula. We must first ascertain the coordinates of each point in order to compute the distance between them. The first point's coordinates are (x1, y1), and the second point's coordinates are (x2, y2). then, the separation between The formula d = (((x2-x1)2 + (y2-y1)2) can be used to identify the two points. This formula can be applied to several mathematical issues, including the analysis of point relationships.

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18 3/4 because 600/32

x + y = 1

2x - y = 4

The answer is: (5/3; -2/3)

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

Since the two prisms are similar, the ratios of each of the sides of the larger prism to the corresponding sides of the smaller prism must be the same

[tex]\dfrac{16}{4} = \dfrac{24}{6} = \dfrac{x}{1} = 4[/tex]

So each side of the larger prism is 4 times the corresponding side of the smaller prism

[tex]\dfrac{x}{1} = 4\\\\x = 4[/tex]

Segment QS is not a radius of Circle P because it is diameter.

Answer:

a. 2

b. 12

c. 15

d. See below

Step-by-step explanation:

It  takes 6 people 20 days to paint 4 houses  [A]

More the people less for same number of houses ==> less the time
More the people working for same time ==> more the number of houses

a. 3 people working for 20 days can finish only half of 4 houses = 2 houses

b. To paint 4 houses in 10 days will require twice the manpower which is 2 x 6 = 12 people

c. For 8 people to paint 4 houses, number of days = 6/8 x 20 = 15

d

People                                Days                            Houses

6                                           20                                    4

1                                            120  (2 x 20)                    4    

1                                              30  (  120/4)                    1

6                                             60                                  12  (3 x 20)

4                                             60                                   8   (4/6 x 12)  

Use the following info to complete the table

1 person will take 6x20 = 120 days to paint 4 houses

To paint 1 house, this time will be 1/4th = 120/4 = 30 days

So it takes 1 person 30 days to paint 1 house

Answer: 17

Step-by-step explanation:

Two negatives make a positive

[tex]-6+23[/tex]

Which is the same as

[tex]23-6=17[/tex]

Answer:

Step-by-step explanation:

The answer will be 17:

So since -6 is multiplied to -23 the negative rule needs to be applied ( a - (-b = a+b) so -6 - (-23) will now turn into -6 + 23.

The value of x for the triangle is 11 units.

In geometry, the ray, line, or segment that divides a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. It splits one angle into two smaller congruent angles, to put it another way.

Given a Triangle PQR,

QS is the angle bisector

and measure of sides as given in the figure,

QP = 31.2, QR 26, and SR = 5,

let the measure of PS be a

and x = PS + SR

according to angle bisector property,

A triangle's opposite side is split into two segments by an angle bisector that is proportional to the triangle's other two sides.

so QP/PS = QR/SR

31.2/a = 26/5

a = 31.2*5/26

a = 6

x =  PS + SR

x = 6 + 5 = 11

Therefore, a measure of x is 11 units.

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The complete question is in the image,

The value of the expression  0.3k - 4m is 14. 14 is a constant term.

What is an expression?

There are numerous branches of mathematics. Arithmetic is the branch of mathematics that deals with numbers and their operations. Arithmetic taught us how to add, subtract, multiply, and divide two or more numbers.

An expression, also known as an algebraic expression, is a mathematical statement made up of numbers, variables, and an arithmetic operation between them. For example, 4a - 5 is an expression in which the terms 4m and 5 are separated by the arithmetic sign - and a is the variable of the given expression.

Given expression is  0.3k - 4m.

To find the value of  0.3k - 4m, when k =20 and m =-2 put the values in the given expression.

Putting k =20 and m =-2 in  0.3k - 4m

0.3k - 4m

= 0.3 × 20 - 4 × (-2)

=6.0 + 8

= 14

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The rate of the number of haircuts to the number of days as -

{r} = 15.25.

Given is that the barber cuts 61 haircuts in 4 days.

We can write the rate for the ratio of the number of haircuts to the number of days as mentioned below -

{r} = 61/4

{r} = 15.25

Therefore, the rate of the number of haircuts to the number of days as -

{r} = 15.25.

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