can someone please explain how they got this final answer.
how did they get the 3? and why is the 18 gone! :( i am so confused

Answer:

they both last 1,25 hours

Step-by-step explanation:

Friday: 5*A + 3*B =10 hours

Saturday: 2*A + 6*B = 10 hours  --> A = (10-(6*B)) / 2

                                                          A = 5-(3B)

5*(5-3B) + 3B = 10

25 - 15B + 3B = 10

15= 12B

B=1,25 hours

A=5-3*1,25

A= 1,25 hours

Danika walks 50 blocks in one week.

Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.

As per the data given,

We have,

Danika lives at 5 blocks from her school.

As Danika walks 5 blocks to and from school, making her round trip

So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.

As Danika walks to and from school 5 days a week,

Hence, she walks 10 blocks * 5 days = 50 blocks in one week.

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The formula for the slope a of the regression line is:

a = r(sy/sx)

The reason for the connection between the value of r and the slope of the least squares line has to do with the formula that gives us the slope of this line. For paired data (x,y) we denote the standard deviation of the x data by sx and the standard deviation of the y data by sy.

The formula for the slope a of the regression line is:

a = r(sy/sx)

The calculation of a standard deviation involves taking the positive square root of a non-negative number. As a result, both standard deviations in the formula for the slope must be nonnegative. If we assume that there is some variation in our data, we will be able to disregard the possibility that either of these standard deviations is zero. Therefore the sign of the correlation coefficient will be the same as the sign of the slope of the regression line.

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The compound inequality that is graphed on the number line is:

x ≤ -6 or x > 2.

Here we have a number line that represents a compound inequality.

First, let's look at the left side, we can see a closed circe at x = 6, and then a line that extends to the left. The closed circle means that the value is a solution.

Then that inequality is:

x ≤ -6

Then we have an open dot at x = 2, and a line that goes to the right, that one will be written as:

x > 2.

Then the compound inequality is:

x ≤ -6 or x > 2.

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The flow duration is regarded the independent variable in the proposed research design.The independent variable is the element that the researcher manipulates or changes in order to observe its influence on another component, known as the dependent variable. .

It is controlled or quantified to explore its influence on the porosity of the sample material chosen as the possible container. The flow time is the variable in the experiment that is being manipulated, and its influence on porosity is being observed, making it the independent variable.

The idea of independent and dependent variables is critical in experimental design because it allows researchers to investigate causality and anticipate how changes in one component will impact another.

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Answer:

23.) x = 111

24.) x = 53

25.) x = 32

26.) x = 66

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360°.

23.)

65 + 106 + 78 + x = 360

249 + x = 360

x = 111

24.)

50 + 48 + 59 + x + x + 58 + 39 = 360

254 + 2x = 360

2x = 106

x = 53

25.)

85 + 44 + 3x + 2x + 71 = 360

200 + 5x = 360

5x = 160

x = 32

26.)

40 + x + 77 + 2x + 45 = 360

162 + 3x = 360

3x = 198

x = 66

Answer:

he will need 360g of margarine

Step-by-step explanation:

u need 180g to make 12 cakes...so all u need to do is double it

The statement ∀x∃y∃z(y 6= z → p(x, y) ∧ p(x, z)) is false.

Let's start by understanding what "p" is. "p" is a function that takes in two arguments, x and y. It tells us whether the relationship between x and y is true or false.

Now, let's look at the statement

=>∀x∃y∃z(y 6= z → p(x, y) ∧ p(x, z)).

This statement says that for every x, there exists a y and a z such that y is not equal to z and both p(x, y) and p(x, z) are true.

This statement is actually false.

Why? Imagine if p(x, y) only returned true when y was equal to x. Then, there would be no y and z such that y is not equal to z and both p(x, y) and p(x, z) are true.

Therefore, it is possible for the function "p" to return false for the statement

=> ∀x∃y∃z(y 6= z → p(x, y) ∧ p(x, z)).

It depends on the definition of the function. To determine if the statement is true or false, we need to know what the function "p" is.

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Answer:

[tex]\boxed{y = \dfrac{2}{5}x - 4}[/tex]

Step-by-step explanation:

Let's find the equation for the line

Take two distinguishable points on the graph.

(0, 4) and (2, -1) are two points with integer values for coordinates through which the line passes

The equation of a line in slope-intercept form is
y = mx + b

where
m = slope
b = y-intercept

Slope m = rise/run

rise = difference in y values of any two chosen points

run = difference in corresponding x values for the same chosen points

Taking the two points (0, 4) and (2, -1)

rise = -1 - 4 = -5

run = 2 - 0 =2

So slope = - 5/2

The y-intercept of this line is 4, - this is the y-value where the line crosses the y-axis and corresponds to the value of y when x = 0

The equation of the line is
y = mx + b
[tex]\rightarrow y = -\dfrac{5}{2}x + 4 \;\;\cdots \cdots (1)\\\\[/tex]

A line perpendicular to this line will have a slope that is the negative of the reciprocal of the slope.

The product of the two slopes will be -1

Reciprocal of -5/2 = -2/5
Negative of this is -(-2/5) = 2/5

So slope of perpendicular line = 2/5

Equation of line is
[tex]y = \dfrac{2}{5}x + b[/tex]

To find b plug in x, y values for (5, -2) and solve for b

[tex]-2 = \dfrac{2}{5}\cdot 5 + b\\\\[/tex]

[tex]-2 = 2 + b\\\\-4 = b\\\\b = -4\\[/tex]

[tex]\textrm{Equation of the line is}\\\\\boxed{y = \dfrac{2}{5}x - 4}[/tex]

Answer:

$54.3

Step-by-step explanation:

17% of 319.41

so u need only to multiply them

Answer:

the answer is B: 218.14 miles

The factorized form of the expression is 5(-2 + x).

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

We have an expression,

-10 + 5x.

To factorize the expression:

Simplifying,

-10 + 5x,

= 5(-2 + x)

Therefore, the required expression is  5(-2 + x).

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The speed of the scooter is 1/2 miles per minute.

The time traveled by an object or person in any direction in a particular period of time is called speed. Speed is a scalar quantity that has no direction, it has only magnitude.

Uniform speed, variable speed, average speed, and instantaneous speed are the four kinds of speed.

To find the required speed of a scooter, you can use the following formula:

Speed= Distance/Time

Here given that, the scooter traveled 1/4 miles in 1/2 minute.

By applying the formula,

speed=(1/4)miles/(1/2)minutes

=1/2 miles/minute

Therefore, the speed of the scooter is 1/2 mile/minute.

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Half a mile per minute is the speed at which the scooter moves.

Speed is the amount of time it takes for a person or object to move in any direction over a predetermined amount of time. Speed is a scalar quantity with only magnitude and no direction.

Uniform, variable, average, and instantaneous speeds are the four different types of speed.

Apply the following formula to determine the required speed for a scooter:

Time/Distance = Speed

As a result, the scooter traveled a quarter mile in just over a minute.

Using the equation,

speed=(1/4)miles/(1/2)minutes

50/60 miles per hour

The scooter moves at a speed of half a mile per minute as a result.

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In the given Geometric shape/figure ∠1=∠4 i.e. C.

What are geometric shapes?

In Mathematics, Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes.

Shapes are also classified with respect to their regularity or uniformity. A regular shape is usually symmetrical such as a square, circle, etc. Irregular shapes are asymmetrical. They are also called freeform shapes or organic shapes. For example, the shape of a tree is irregular or organic.

In plane geometry, the two-dimensional shapes are flat shapes and closed figures such as circles, squares, rectangles, rhombus, etc.  In solid geometry, the three-dimensional shapes are cube, cuboid, cone, sphere and cylinder. We can observe all these shapes in our daily existence also. For example books (cuboid shape), glasses (cylindrical shape), traffic cones (conical shape) and so on.

Now,

    As we know, If two lines intersect and make an angle, say X=45°, then its opposite angle is also equal to 45°.

The same theorem is applied here

hence

          The opposite angles ∠1 and ∠4 equal.

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Answer:

y = -1/4x + 5

Step-by-step explanation:

(y - y1) = m(x - x1)      Point - slope form

y - 3 = -1/4(x - 8)

y - 3 = -1/4x + 2

y = -1/4x + 2 + 3

y = -1/4x + 5

If slope of the line is 1/3,  then slope of the perpendicular line should be negative reciprocal, and so it is equal -3.

Lines that cross at a straight angle (90 degrees) are said to be perpendicular. Two geometric objects in basic geometry are perpendicular if they intersect at a right angle. The perpendicular sign,, is a graphic representation of the perpendicularity criterion.

Between two lines, between a line and a plane, or between two planes, it can be defined. slope, An evaluation of a line's inclination with respect to the horizontal using numbers.

The slope of any line, ray, or line segment in analytical geometry is defined as the ratio of the vertical to the horizontal distance between any two points on the line ("slope equals rise over run"). The slope or gradient of a line in mathematics is a number that indicates the line's steepness and direction.

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Answer: 14

Step-by-step explanation:

Let's call the number of matches the team played "x".

We know that the team scored 36 goals in total, and if they had played five matches less, their goal average would have been exactly four goals per game. We can use this information to set up the following equation:

(36 goals) / (x - 5 matches) = 4 goals per match

To solve for x, we need to isolate x on one side of the equation. To do this, we can multiply both sides of the equation by (x - 5):

36 = 4(x - 5)

36 = 4x - 20

56 = 4x

Now we can divide both sides of the equation by 4:

x = 14

Therefore, the team played 14 matches in total.

Answer: 0.48

Step-by-step explanation: To get your percentage multiplier, divide the desired percentage by one hundred. In this case, 48/100.

Answer: The percentage multiplier to decrease a price by 48% is 0.52. :)

Step-by-step explanation:

Answer: Richard is 36 and Teo is 12

Step-by-step explanation:

Let Richard be "R" and Teo be "T",

R + T = 48 (1)

R = 2T + 12 (2)

2T + 12 + T = 48 <-- Plug (2) into (1)

3T = 36

T = 12

R + 12 = 48 <-- Plug T=12 into (1)

R = 36

Therefore Richard is 36 and Teo is 12

Answer: 12 and 36

Step-by-step explanation:

(12x2)+12=36

12=36=48

12 and 36

The process of creating a vector that ranges from 0 to π and contains 32 evenly spaced elements is illustrated below.

A vector is a mathematical concept that is used to represent a set of numbers in an ordered manner.

To create a vector that ranges from 0 to π and contains 32 evenly spaced elements, you first need to determine the step size.

This is done by dividing the range (π - 0) by the number of elements (32) and subtracting 1. In this case, the step size is

=> (π - 0) / (32 - 1) = π / 31.

Next, you will create a variable to represent the starting value of the vector, which is 0.

Finally, you can use the append function to add the elements of the vector to the list or array.

To ensure that the vector contains 32 evenly spaced elements, you can check the length of the vector using the len() function, and you can also check the spacing of the elements by printing the values of the vector.

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Answer:

$210

Step-by-step explanation:

42/2=21 5+3+2=10 21*10=210

Advantages of using a permutation as in problem 1 include increased efficiency and simplicity, while disadvantages include reduced flexibility and a potential loss of information.

Permutations are mathematical operations that rearrange elements in a list or sequence, and there are different ways to define and generate permutations. A permutation specified in problem 1 may have certain desirable properties, such as being easy to compute, having low computational complexity, or having a simple mathematical form.

These advantages, however, can also be disadvantages if they limit the ability to capture more complex or subtle relationships between elements, or if they prevent the use of other methods that may be more appropriate for a particular application. Therefore, the choice of a specific permutation method depends on the requirements of the problem and the available computational resources.

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Therefore , the solution of the given problem of polynomial comes out to be (x-4)²(x-1)(x+2) is a four degree polynomial.

A polynomial is a mathematical statement with coefficients or uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to a phrase in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that can be added, deducted, multiplied, then raised to negative number powers of non-variables.

Here,

Given :

=> (x-4)(x-1)(x+2)

=>(x-4)²(x-1)(x+2)

So,

=> (x-4)²(x-1)(x+2) is a four degree polynomial.

The two zeros of the degree four polynomial presented are x = 2 and x = 4. The two components of the above polynomial are (x - 2) and since x = 2 and x = 4 are its two zeros (x - 4).

The quadratic expression with the coefficients 1, 8, and 15 can be factored to find additional components. This equals x2 + 8x + 15.

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The total number of hours Josh worked during the week is 44.7 hours.

We first need to calculate his regular pay by dividing his weekly gross earnings by his hourly rate:

$487.29 / $10.95 = 44.7 hours

Since the company pays time-and-a-half for any hours worked exceeding 40 in one week, we need to determine if Josh worked more than 40 hours during the week. If he did, we'll calculate his overtime pay by multiplying his regular pay by 1.5.

If Josh worked 44.7 hours, then he worked 44.7 - 40 = 4.7 hours of overtime.

His overtime pay would be 4.7 hours * $10.95 * 1.5 = $81.48

His regular pay would be 40 hours * $10.95 = $438.00

So his total weekly pay would be $438.00 + $81.48 = $519.48

The total number of hours Josh worked during the week is 44.7 hours.

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The distance between the given pair of points (1,11) and (7,18) is √85.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given that;

Point 1 (1,11)

Point 2 (7,18)

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √( ( 7 - 1 )² + ( 18 - 11 )² )

D = √( ( 6 )² + ( 7 )² )

D = √( 36 + 49 )

D = √85

Therefore, the value of the distance is √85.

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The value of k is 1/5.

A relation is a function if it has only One y-value for each x-value.

The given function is  f(x) and

g(x) = f(k⋅x)

We have to find the value of f(x) and g(x)

For f(x), we have:

(x, y)={(-10, -6)(-5, -1)}

Slope=-1+6/-5+10

=5/5=1

For g(x), we have:

(x, y)={(-2, -6)(-1, -1)}

Slope=-1+6/-1+2=5

g(x)=kf(x)

5=k(1)

k=1/5

Hence, the value of k is 1/5.

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Debemos tener la misma masa en ambos brazos del tubo, entonces veremos que la altura que alcanza la columna de aceite es 0.33m

La altura de la columna de aceite será de tal forma que la masa en ambos brazos sea igual.

Recordar que la masa es el producto entre la densidad y el volumen, para el caso de cilindros, el volumen es el producto entre la altura H y el area circular A.

Para que las masas sean iguales debemos tener que:

A*(0.30 m)* (1 g/cm^3) = A*(H)*(0.9 g/cm^3)

Podemos remover A de ambos lados para obtener:

(0.30 m)* (1 g/cm^3) = (H)*(0.9 g/cm^3)

Resolviendo esto para H obtendremos:

H = (0.30 m)* (1 g/cm^3)/(0.9 g/cm^3)

H = 0.33m

Esa es la altura que alcanza el aceite.

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