The quantities
�
xx and
�
yy are proportional.
�
xx
�
yy
3
33
30
3030
10
1010
100
100100
16
1616
160
160160
Find the constant of proportionality
(
�
)
(r)left parenthesis, r, right parenthesis in the equation
�
=
�
�
y=rxy, equals, r, x.
�
=
r=r, equals

Given:

measured length = 16.0 cm

Percentage error is calculated using the formula:

The greatest possible error of a measurement is considered to be one-half of the measuring unit. The measured value is 16.0cm (measuring to the nearest tenth), the greatest possible error is one-half of one-tenth or 0.05.

Hence, we have:

error = 0.05

Substituting we have:

Answer: 0.3125%

To write the expression 2 x 2 x 2 x 4 x 4 using exponents, we can first group the factors of 2 together, which gives:

(2 x 2 x 2) x 4 x 4

We can then write the group of three 2's as 2 raised to the third power (2^3), which gives:

2^3 x 4 x 4

Finally, we can simplify the expression by multiplying the two remaining factors of 4, which gives:

2^3 x 16

Therefore, the expression 2 x 2 x 2 x 4 x 4 written using exponents is 2^3 x 16.

Answer:

the answer of the question is

y= 2x+6

Answer:

Step-by-step explanation:

Let's begin by labeling the dimensions of each corral in the figure as shown below:

       +--------+---+--------+

       |        |   |        |

       |        | a |        |

       |        |   |        |

       +--------+---+--------+

        \        /   \        /

         \  z   /     \  y   /

          \    /       \    /

           \  /         \  /

            \/           \/

        +--------+   +--------+

        |        |   |        |

        |        | x |        |

        |        |   |        |

        +--------+---+--------+

We can see that there are three rectangular corrals (x, y, and z) and three triangular corrals (a, b, and c).

We need to find the dimensions of each corral that will use up the entire 1400 feet of fencing and maximize the enclosed area.

Let's start by setting up some equations based on the length of fencing:

The total length of fencing used for the rectangular corrals is 2x + 2y + 2z.

The total length of fencing used for the triangular corrals is a + b + c.

Since the rancher has 1400 feet of fencing, we can write the following equation:

2x + 2y + 2z + a + b + c = 1400

Next, let's express the area of the corrals in terms of the dimensions. The total area enclosed by all six corrals is given by:

A = xy + yz + zx + (1/2)ab + (1/2)bc + (1/2)ca

We want to maximize A, subject to the constraint on the length of fencing. We can use the equation for the length of fencing to express one of the variables in terms of the others, and then substitute that expression into the equation for the area. This will give us a function of two variables, which we can differentiate and set to zero to find the maximum.

Let's solve for c in terms of the other variables:

c = 1400 - 2x - 2y - 2z - a - b

Substituting this into the equation for the area, we get:

A = xy + yz + zx + (1/2)ab + (1/2)b(1400 - 2x - 2y - 2z - a) + (1/2)a(1400 - 2x - 2y - 2z - b)

Simplifying and rearranging, we get:

A = (3/4)ab + (1/2)(x+y+z)(700 - x - y - z)

Now we have a function of two variables, A(x,y,z,a,b) that we want to maximize. To do this, we take partial derivatives with respect to x, y, and z, set them to zero, and solve for x, y, and z.

∂A/∂x = (1/2)(700 - 2x - 2y - 2z) - (1/2)b = 0

∂A/∂y = (1/2)(700 - 2x - 2y - 2z) - (1/2)a = 0

∂A/∂z = (1/2)(700 - 2x - 2y - 2z) = 0

Solving these equations, we get:

700 - 2x - 2y - 2z = a + b

700 - 2x - 2y - 2z = a + c

700 - 2x - 2y - 2z = b + c

Adding these equations together, we get:

2100 - 6x - 6y - 6z = 2a + 2b + 2c

But we know that 2a + 2b + 2c = 1400 - 2x - 2y - 2z, so we can simplify this to:

2500 - 8x - 8y - 8z = 0

Solving for z in terms of x and y, we get:

z = (2500 - 8x - 8y)/8

Now we can substitute this expression for z into the equation for the length of fencing:

2x + 2y + 2z + a + b + c = 1400

Substituting and simplifying, we get:

a + b + c = 1400 - 2x - 3y

We can also substitute z into the equation for the area:

A = (3/4)ab + (1/2)(x+y+(2500-8x-8y)/8)(700 - x - y - (2500-8x-8y)/8)

Simplifying and rearranging, we get:

A = (3/4)ab + (1/2)(-11x - 11y + 6250)/8 * (x + y) + 30625/4

Now we have a function of two variables, A(x,y), which we want to maximize. To do this, we take partial derivatives with respect to x and y, set them to zero, and solve for x and y.

∂A/∂x = (3/4)b - (11/16)x + (11/16)y + 1531.25 = 0

∂A/∂y = (3/4)a + (11/16)x - (11/16)y + 1531.25 = 0

Solving these equations, we get:

x = y = 375 - (1875/11)

Substituting these values into the expression for z, we get:

z = (2500 - 8(375 - (1875/11)))/8 = 625/11

Substituting these values for x, y, and z into the expression for the area, we get:

A = (3/4) * (375 - (1875/11)) * (375 - (1875/11) - (625/11)) + (1/2)(375 - (1875/11) + 625/11)(700 - 2(375 - (1875/11)) - 2(625/11))

Simplifying, we get:

A = 1015625/121 + 122500/11

So the maximum area is approximately 103072.06 square feet.

Therefore, the dimensions that maximize the enclosed area are:

x = y = 375 - (1875/11) feet

z = 625

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer:

or,x*10=5*6

or, 10x=30

or,x=30/10

or,x=3

X/6 = 5/10 // - 5/10

X/6-(5/10) = 0

X/6-1/2 = 0

1/6*X-1/2 = 0 // + 1/2

1/6*X = 1/2 // : 1/6

X = 1/2/1/6

X = 3

X = 3

Here's a link to help with future problems and it helped me with this question

https://www.geteasysolution.com/

Step-by-step explanation:

At first let's understanding the question,

In this following questions it has given that;

Difference of two numbers is 19. If the smaller number is 18, we have to find the greater

number.

According to the question:-

let the Greater no is =G

in question, The smaller no is =18

The difference of two no is =19

Solution:-

From the question,

Final answer:-

\(\therefore\) The greater no is 37.

Answer:

675 devided bye 9 = 75

Step-by-step explanation:

Answer: 75 words per minute

Step-by-step explanation:

We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9   9/9
75:1 or 75 words per minute

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

we have: 2( W + L ) = P

=> 2(x + 15) = 48

Answer: B

Ok done. Thank to me :>

The correct match for each linear system with one of the phase plane direction fields will be:

1:B

2:C

3:D

4:A

What is plane?

In geometry, a plane is a surface made up of all the straight lines connecting any two locations on it. It is, in other words, a level or flat surface. A plane is uniquely defined in a Euclidean space of any number of dimensions by one of the following: three non-collinear points are used. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature. The flat surfaces of a cube or cuboid, as well as the flat surface of paper, are all true instances of geometric planes, despite the fact that it is difficult to envision a plane in real life.

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Answer:

$3400

Step-by-step explanation:

800+(26x100)

Answer:

I think its C. but i might be wrong.

Step-by-step explanation:

1. The value of Angle STR is 19°

2. The value of arc ST is 134°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

Part of circle theorem states that: The angle in the same segment are equal.

1. Therefore the value of angle STR is calculated as;

= 180- ( 90+71)

= 180- 161

= 19°

2. The value of arc ST is calculated as;

Since arc SR = QR = 46°

representing the value of arc ST by x

therefore,

46+46+x+x = 360

92 +2x = 360

2x = 360-92

2x = 268

divide both sides by 2

x = 268/2

x = 134°

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Answer:

He needs to take 5.5 grams of medications.

Step-by-step explanation:

I added 2.1 to 3.4 and got 5.5. *booyah*

The required parameters is as follows:

Equation: y = 10x + 12.

Slope: 10.

Y-intercept: 12.

Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.

The simplest definition of point-slope form is a line equation expressed using a single line point and the line's slope. The slope is the ratio of the change in the y values over the change in the x values, or the rise over run, and the point form is written as (x,y).

This mathematical formula gives the equation of a straight line in slope-intercept form;

y = mx + c

Where, m represents the slope or rate of change

x and y are the points

c represents the y-intercept or initial value.

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Answer:

5x+20x(50)=?

answer kidssssssssss

6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Chef Alfredo made the investment 4 years ago.

To solve this problem, we have to use the formula of simple interest.

Data;

The formula of simple interest is given as

\(S.I = \frac{PRT}{100}\)

Let's subtract the principal from the final amount to know the simple interest

\(6000-4800=1200\)

Substitute the values into the formula

\(s.i=\frac{prt}{100} \\1200=\frac{6000*5*t}{100}\\ 1200*100=6000*5*t\\120000=30000t\\t = 4\)

The time he made that investment was 4 years ago

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Answer:

54% = 27/50

72% = 18/25

97% = 97/100

Answer:

Step-by-step explanation:

a.144m2. take the square root of that to find the length of one side of the room

the square root would be 12m

b. this is basically asking for the perimeter. since you have one side of the room, you can find the perimeter now by multiplying one side by 4, because a square has 4 equal sides. 12 times 4 is 48m

c. each piece of the baseboard is 2.5m, you need 48 m of baseboard. divide  48/2.5 to get your answer. 19.2 pieces of baseboard, or 20 if you want to get technical