Susie makes bracelets to sell at a local craft fair. At each craft fair, she sells 16 more bracelets than the last time. At her first craft fair, she sold 82 bracelets. At her second craft fair, she sold 98 bracelets. At her third craft fair, she sold 114 bracelets. If this pattern continues, how many bracelets will she sell at her sixth craft fair? 120 bracelets 130 bracelets 146 bracelets 162 bracelets

The radius of the circular field with area 14400 square feet is 67.7ft

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

The radius of a circular field with an area of 14400 square feet can be calculated by the formula:

Area of a circle(A) = [tex]\pi r^{2}[/tex]

where A = 14400[tex]ft^{2}[/tex]

[tex]\pi[/tex] = constant which is 3.142

A = [tex]\pi[/tex][tex]r^{2}[/tex], where A = area of circle , r = radius

divide both sides by c

A/[tex]\pi[/tex] = [tex]r^{2}[/tex]

[tex]r^{2}[/tex] = A/[tex]\pi[/tex]

r = [tex]\sqrt{\frac{A}{\pi } }[/tex]

Substitute the values of A and [tex]\pi[/tex]

r = [tex]\sqrt{\frac{14400}{3.142} }[/tex]

r = 67.7ft

In conclusion the radius of the field is 67.7ft

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We will have the following:

So, its zeros are x = -3, x = 0 & x = 3.

There is no question, just some graphs, I can not explain if I don't know the question

ok

y = 2x

This is a positive line that increases from left to right, because the number 2 of the equation is positive.

So from the graphs that you send me, the right answer is the second one, it is an increasing line.

A graph increases from left to rigth if it goes up

A graph decreases from left to right if it goes down

The option-C is correct, that is 1 to 10 millimeter per year fast is soil creep.

Given that,

In the picture we can see the options.

We have to select the correct option for the given question.

The slow, downward movement of rock and soil down a low grade slope is known as downhill creep, sometimes referred to as soil creep or simply creep. Downhill creep can also refer to the slow deformation of such materials as a result of persistent strain and tension. While creep may appear continuous to the spectator, it actually represents the accumulation of multiple little, discontinuous movements of slope material produced by gravity.

Therefore, The option-C is correct, that is 1 to 10 millimeter per year fast is soil creep.

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The perimeter of the given rectangle is 16r-14s centimeters.

Let width be represented by=w

Let length be represented by=l

Let perimeter be represented by=p

Then,

l=(r-5s)centimeters (Given in the question)

while w=(7r-2s)centimeters (Given in the question)

The formula for the perimeter of a rectangle= 2(l+b)

where l is the length while b is the breadth of the rectangle.

On putting values in the equation:

p=2(l+b)

p=2(l+w)

p=2[(7r-2s)+(r-5s)]

on opening the bracket 2 is multiplied by both terms.

p=2(7r-2s)+2(r-5s)

p=(2x7r-2x2s)+(2xr-2x5s)

p=(14r-4s)+(2r-10s)

p=14r-4s+2r-10s

p=14r+2r-4s-10s

p=14r+2r-(4s+10s)

p=14r+2r-(14s)

p=16r-(14s)

Thus,

p=16r-14s centimeters

The perimeter of the given rectangle is 16r-14s centimeters.

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Hello!

As this exercise informs the approximate heights, you can consider just this value (don't need to write two heights in this case).

To make this chart, I used the heigths:

• Mercedario: 6770m

• Misti, Volcán: 5820m

• Pular: 6230m

• Sajama: 6520m

• Talima: 5220m

Look at the chart below:

A' will be (-3,9)  B' will be (4,6) and C' will be (-5,-1). t are the coordinates of the vertices of aa'b'c' for the reflection rg.

A pair of numbers that specify where a point is situated on a coordinate plane using the horizontal and vertical separations from the two reference axes. usually represented by a pair of x-values and y-values (x,y).

In this problem, basically you have three points and 6 straight lines(4 described in the problem and x and y axis) in a 2-D plane. You have to find the reflection of these three points with respect to these 6 lines one by one.

Points are:

A(9,-3)

B(6,4)

C(-1,-5)

Case 1:

Line is X-axis  i.e.  y  =  0.

If you take reflection about x-axis then you can observe that the x - co-ordinate will remain same while y-co-ordinate will change its sign.

So A' will be (9,3), B' will be (6,-4) and C' will be (-1,5)

Case 2:

Line is y-axis  i.e.  x = 0

Here the analogy will remain same except here the y - co-ordinate will remain same and x - co-ordinate will change ite sign.

So, A' will be (-9,-3)  B' will be (-6,4) and C' will be (1,-5).

Case 3:

Reflection about line "m"  i.e.  x = -5

This is a vertical line. Suppose the point whose reflection is to be found about is line is at a perpendicular distance of "k" from the line on right side, then its reflection will be "k" distance on the left from this line on the same horizontal line. So y-co-ordinate will not change.

For A(9,-3), it is at a distance of 14 units from the line on the right side so its reflection will be 14 units on the left with same y - co-ordinate. So its x - co-ordinate will be -5-14  =  -19

So A' will be (-19,-3)

Similarly for B,  B' will be (-16,4) and C' will be (-9,-5).

This graph will help you understand better.

The red line is x  =  -5.

The case for line y = 1 and y = -2 will be similar.

Case 5:

Reflection about the line y  =  x

photos are attached .............

So, A' will be (-3,9)  B' will be (4,6) and C' will be (-5,-1).

We can use these two observations to find the reflection of any point about any line:

(i) The midpoint of the given point and the reflection point will lie on the given line about which the reflection is to be found.

(ii) The product of slope of given line and the line joining the given point and the reflection point is -1.

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The standard form of a graph that passes (-3,4) and has a slope of [tex]\frac{3}{2}[/tex] is

The standard form of the graph can be found as follows:

The point-slope form of a graph is

[tex](y-y_{1})=m(x-x_{1})[/tex]

where [tex](x_{1}, y_{1})[/tex] is the point that passes the graph and m is the slope.

Substitute [tex]x_{1}=-3[/tex], [tex]y_{1}=4[/tex], and m=[tex]m=\frac{3}{2}[/tex] into point slope form.

[tex](y-4)=\frac{3}{2} (x-(-3))[/tex]

Simplify the equation.

[tex]y-4=\frac{3}{2} (x+3)[/tex]

Multiply both sides by 2

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

Simplify.

[tex]2y-8=3x+9[/tex]

Add both sides by 8.

[tex]2y=3x+17[/tex]

Subtract both sides by 3x

[tex]2y-3x=17[/tex]

Multiply by -1.

[tex]3x+2y=-17[/tex]

Remember the standard form of the graph is:
Ax+By=C

Then, the standard form of the linear equation is A. [tex]3x-2y=-17[/tex].

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a) Remember that the coordinates for any given point in the cartesian system have two components, one in the X axis and the secon one in the Y axis. (X,Y)

The coordinates for P and Q are:

P (b,a)

Q(d,e)

b) If you have the formula for the function, you'll se that to determine the value on the Y axis for a given value of X you have to replace that value in the formula. This means that Y= f(x).

In this example the value of Y for X=b is equal to a, so f(b)= a

c) For f(x)=e, you have to identify the value of x that croses to Y=e, in this grapfic that value is d

d) f(z)=c and f(x)=z

If you watch the graphic, c is in the y-axis, this means that the x value of its coordinate is zero. So z=0

Now for f(x)=z, this means that you have to find the value of x when the value of Y is zero. To determine this value you have to see where the function crosses the X-axis.

The function crosses the X-axis in point h, so when f(x)= z, x=h

e) If f(b)=-f(d) this means that both |b| and |d| are equal, you can express it as:

b=-d

Answer:

D

Step-by-step explanation:

Well, since t = time in air, we already know that it traveled 2 seconds.

H = height in meters, and H = 18

So, after 2 seconds the object is 18m in the air

So, option D

In this exercise we have to use the knowledge of depth to be able to calculate the depth that is being seen by the telescope, in this way we can say that:

45 feet deep

First, knowing that the formula for the parabola is:

4py=x²

Now P is the distance from the vertex to the focus or to the directrix which is equal to 20, we can say that:

4(20)y=x²

80y=x²

Now we just should use individual knwon financial worth of X fashionable the maximum point of the dish, exist the measurement across object of the eating receptacle exist 120 extremities that is to say the maximum x, and we understand information that 120 extremities is heavy distance middle from two points the expansive -x and x, so those hopeful: -60 and 60.

80y=x²

80y=60²

80y=3600

y=45

Answer:

75ft

Step-by-step explanation:

We can let the parabola open upward......so we will  have the form

4a ( y - k)  =  (x - h)^2

The distance from the vertex to the focus =  20   = a

We can let the vertex be   ( 80, 30)

So we have the form

4(20) ( y- 30)  = (x - 80)^2   simplify

80 ( y - 30)  = ( x - 80)^2

Since the diameter  is 120 ft...the radius is 60 ft.....so we can let one point on the parabola be   ( 80 + 60 , a) =

(140 , a)......where a  is the height of the dish....so we have that

80 ( a - 30) = (140 - 80)^2

80 ( a - 30)  = (60)^2

80 ( a - 30) = 3600      divide both sides by  80

a -  30 =  45      add 30 to both sides

a = 75 ft  = the height of the dish

Answer:

7/16

Step-by-step explanation:

To find the answer, simply just add the numbers together:

For the numerators:

4 + 3 = 7

For the denominators:

9 + 7 = 16

So, we have 7/16 because this cannot be simplified down anymore.

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Answer:

Exact Form:

55/63

Decimal Form:

¯¯¯¯¯¯¯¯¯¯¯¯

0.873015

Step-by-step explanation:

The measures of the interior and exterior angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠7, ∠8, and ∠9 are 90°, 90°, 90°, 122°, 58°, 58°, 148°, 32°, and 148°, respectively.

We are given a triangle. One of the angles is 122 degrees, as shown in the diagram. We need to find all the interior and exterior angles. The vertically opposite angles are equal. The angle ∠4 is vertically opposite to the given angle. So, ∠4 = 122°. The angle ∠5 and the given angle form a linear pair. So, the angle ∠5 = 180° - 122° = 58°. The angle ∠6 is vertically opposite to the angle ∠5. So, the angle ∠6 = 58°. The angles ∠1, ∠2, and ∠3 are angles made by coordinate axes that are perpendicular to each other. So, the angles ∠1 = ∠2 = ∠3 = 90°. Now we use the angle sum property of a triangle. The sum of all the interior angles of a triangle is 180°. So, we can write the equation : ∠6 + ∠1 + ∠8 = 180°. So, ∠8 = 180° - (∠6 + ∠1) = 180° - (58° + 90°) = 180° - 148° = 32°. The angles ∠8 and ∠9 form a linear pair. So, ∠9 = 180 - 32° = 148°. The angle ∠7 is vertically opposite to the angle ∠9. So, the angle ∠7 = 148°.

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[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-19}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-19}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{2}}} \implies \cfrac{-19 +7}{3} \implies \cfrac{ -12 }{ 3 } \implies - 4[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{- 4}(x-\stackrel{x_1}{2}) \implies y +7 = - 4 ( x -2) \\\\\\ y+7=-4x+8\implies {\Large \begin{array}{llll} y=-4x+1 \end{array}}[/tex]

Answer:

x=2

Step-by-step explanation:

The required equation x = 2 has a linear graph that is parallel to the graph of the y-axis on the Cartesian coordinate system. which is the correct answer would be option (A).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A vertical line is a line on the coordinate plane with all of its points having the same x-coordinate. When we plot the points for a function x = an on a coordinate plane, we discover that connecting the coordinates results in a vertical line.

As per the given question, we have

The required equation x = 2 is the required vertical line.

Thus, the required equation x = 2 has a linear graph that is parallel to the graph of the y-axis on the Cartesian coordinate system.

Hence, the correct answer would be an option (A).

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Answer:

38.461538

Step-by-step explanation:

Calculate the height of the upper triangle, using the Pythagoras theorem

The length of the vertical diagonal = 2 x 24

The length of the vertical diagonal = 48m

[tex]\textit{internal division of a line segment using ratios} \\\\\\ X(1,-2)\qquad Z(11,3)\qquad \qquad \stackrel{\textit{ratio from X to Z}}{3:2} \\\\\\ \cfrac{X\underline{Y}}{\underline{Y} Z} = \cfrac{3}{2}\implies \cfrac{X}{Z} = \cfrac{3}{2}\implies 2X=3Z\implies 2(1,-2)=3(11,3)[/tex]

[tex](\stackrel{x}{2}~~,~~ \stackrel{y}{-4})=(\stackrel{x}{33}~~,~~ \stackrel{y}{9}) \implies Y=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{2 +33}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-4 +9}}{3+2} \right)} \\\\\\ Y=\left( \cfrac{ 35 }{ 5 }~~,~~\cfrac{ 5}{ 5 } \right)\implies {\Large \begin{array}{llll} Y=(7~~,~~1) \end{array}}[/tex]

Consider the system of inequalities,

Simplify the first inequality as follows,

So, the solution to this inequality will be the set of points including and lying on the left of point 4 on the number line.

Simplify the second inequality as follows,

So, the solution to this inequality will be the set of points including and lying on the right of point -6 on the number line.

The solution to the compound inequality will be the common solution of both the inequalities, that is, the set of real numbers ranging from -6 to 4.

The solution can be seen on the number line as follows,

The measure of the angle ∠ABD is calculated as 138° from the given data and figure.

The total of a triangle's three internal angles is 180 degrees, according to the angle sum property. When the values of the other two angles are known, the angle sum property is utilized to compute the measure of an unknown interior angle.

SAS stands for Side-Angle-Side Similarity. If the proportion of the two sides of one triangle is the same as the proportion of the two sides of another triangle, and the angle inscribed by the two sides of both triangles is equal, two triangles are said to be similar. 

Given: ΔACD and ΔBCD are isosceles.

          AD ≅ AC

          BD ≅ BC

         ∠BAC = 18°

         ∠BDC = 48°

We need to determine the measure of  ∠ABD.

Since,   AD ≅ AC

∠DAB = ∠BAC = 18°

Since, BD ≅ BC

∠BDC = ∠BCD = 48°

By triangle's angle sum property,

∠BDC + ∠BCD + ∠DBC = 180°

48° + 48° + ∠DBC = 180°

∠DBC = 84°

Also, ∠ABD = ∠ABC  [By SAS rule of ΔABD + ΔABC]

From the figure we can see that,

∠DBC + ∠ABD + ∠ABC = 360°

84° + 2∠ABD = 360°  [∵ ∠ABD = ∠ABC]

2∠ABD = 276

∠ABD = 138°

Therefore, the measure of the angle ∠ABD is calculated as 138° from the given data and figure.

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we have the equatiion

4x-5y=20

Convert to slope intercept form

y=mx+b

so

Isolate the variable y

step 1

subtract 4x both sides

4x-5y-4x=4x+20

simplify

-5y=-4x+20

step 2

Divide both sides by -5

so

-5y/-5=(-4x+20)/-5

simplify

Recall, 1 ton = 1000 kg

This means that

1 kg = 1/1000 = 0.001 tons

If

1 kg= 2.2046 lbs, it means that

0.001 tons = 2.2046 lbs

Answer:

121cm^2

Step-by-step explanation:

44/4=11 so each side equals 11cm

to find the area multiply height by width

11*11=121

121cm^2

Producing cost:

Revenue:

The profit (P) is equal to substract the producing cost for the revenue:

You can write also as:

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

P=50:

To solve for x:

Substract 50 in both sides of the equation:

Use the quadratic formula:

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

P=2500

Solve for x:

As the number under the square root is a negative number the equation has no solution (value of x) in the real numbers.

Answer:

-31.5

Step-by-step explanation:

36(0.25)+ 42(-1)-18(0.25)+6
9-42-4.5+6

=-31.5

Answer:14

Step-by-step explanation

The answer is PROBABLY a whole number.

(2) 10^3 = 1000; 20^3 = 8000. So the number is between 10 and 20; and closer to 10.

(3) Of the possible answers 11, 12, 13, and 14, only one of them has units digit 4 when raised to the 3rd power.

Answer:

L=14m

Step-by-step explanation:

volume of a cube =L×L×L

V=L³

2744=L³

L=³√2744

L=14m

Answer:

The correct answer is B

Step-by-step explanation:

Answer:

5rs^3t^2  cubed root rt

Step-by-step explanation:

so 5rs-cubed t-squared and inside the cube root is rt

Step-by-step explanation:

answer

Are you clear your doubt with my answer?