What is 4/10 X 3/4 in a fraction form

Answer: Cost = $70 + ($13)(n)

Step-by-step explanation: As we can see that the cost of the banquet is 70$ and for each person attending there will be a 13$ extra so as to model this problem, let's from an expression. The expression that models the problem can be written as -

Cost = $70 + ($13)(n)

In this expression 'n' will be the number of people attending the banquet at that time.

In this expression the 'x' will be the number of people attending the banquet. 'y' will be the cost of the banquet. y-intercept will be 70$, which is actually the cost of the banquet and the slope will be 13$ which is the cost for each person that will be attending.

The 9.75 ft wide wall and the 5.75 feet window in the center, through the use of unit conversion

1. The space to fill 4 feet

2. 4 feet = 48 inches

3. 8 pictures

4. Tne new number of pictures with 10 inches width is 4 pictures

Unit conversion is the expression of the same quantity, using different a different unit of measurement

Part of the question obtained from a similar question includes;

The width of the wall Mr. Hamilton decorates with pictures = 9.75 ft

The width of the window at the center of the wall = 5 3/4 feet = 5.75 ft

Location of the window = The center of the wall

Location Mr. Hamilton will fill with the pictures = Left and right sides of the window

The width of each pictiure of a president = 6 inches

1. The length of the space Mr. Hamilton wants to fill with pictures = 9.75 ft - 5.75 ft = 4 ft.

2. The unit convertion factor from feet to cm is;1 ft = 12 inches

Therefore, 4 feet = 4 ft × 12 inches/ft = 48 inches

3. The number of pictures Mr. Hamilton will use, n, is therefore;

n = 48 inches/(6 inches/picture) = 8 pictures

The number of pictures Mr. Hamilton can use for decorating by placing pictures of presidents on the wall is 8 pictures

4. The responses to the questions if the dimensions of the picture are 10 inches are;

Learn more unit conversion here: https://brainly.ph/question/2782422

#SPJ1

The equation for a parabola with a focus at (9, 0) and a directrix at y = -4 is y = (x - 9)^2 - 4.

Parabola is a type of curve that is symmetrical around a line called the directrix. It is an important conic section and is described by a quadratic equation.

This equation is derived from the equation for a parabola in standard form, which is y = a(x - h)^2 + k.
To find the equation for the parabola, we need to determine the values of a, h, and k. The focus of the parabola is (9, 0), so h = 9. The directrix of the parabola is y = -4, so k = -4. The value of a can be determined by the distance between the focus and the directrix, which is 4. So a = 1/4.
Putting these values together, we get y = (x - 9)^2 - 4.

To learn more about parabola
https://brainly.com/question/64712
#SPJ1

Answer:

0.35

Step-by-step explanation:

To find the correlation coefficient, we can use the formula:

r = (n * Σ(x * y) - Σx * Σy) / √((n * Σx^2 - (Σx)^2) * (n * Σy^2 - (Σy)^2))

where n is the number of data points, x is the grade, y is the number of pets, Σx is the sum of grades, and Σy is the sum of the number of pets.

To use this formula, we first need to find the sum of the grades and the sum of the number of pets from the data in the table.

Grade Number of Pets

5 0

6 4

2 2

1 3

4 5

2 1

4 2

1 2

4 0

3 5

17 2

sum of grades = 5+6+2+1+4+2+4+1+4+3+17+5 = 49

sum of number of pets = 0+4+2+3+5+1+2+2+0+5+2 = 26

Now we can substitute these values into the formula along with n = 12, the number of data points in the table:

r = (12 * (50 + 64 + 22 + 13 + 45 + 21 + 42 + 12 + 40 + 35 + 172 + 52) - (49*26)) / √((12 * (5^2 + 6^2 + 2^2 + 1^2 + 4^2 + 2^2 + 4^2 + 1^2 + 4^2 + 3^2 + 17^2 + 5^2) - 49^2) * (12 * (0^2 + 4^2 + 2^2 + 3^2 + 5^2 + 1^2 + 2^2 + 2^2 + 0^2 + 5^2 + 2^2) - 26^2))

Which after some calculation give us r=0.35,

So the correlation coefficient for the data is approximately 0.35.

The difference in the cost of the two plans after 18 months will be 240. The solution has been obtained using linear equations.

What is a linear equation?

A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. Such an equation on the graph, forms a straight line.

According to the table, the companies increase the cost by equal amount every month.

So, the linear equations for both the companies come out to be,

Company A: y=40+35x

Company B: y=10+50x

Therefore, after 18 months cost of both the companies will be

Company A:

y=40+35(18)

y=40+630

y=670

Company B:

y=10+50(18)

y=10+900

y=910

The difference in the cost of the two plans after 18 months will be

910-670= 240

Hence, the difference in the cost of the two plans after 18 months will be 240.

Learn more about linear equation from the given link

https://brainly.com/question/2030026

#SPJ1

Based on the graph, the average number of feet per day is 0.25 per day.

To calculate the average using the information of the graph, let's identify the highest and lowest number:

Highest number:  200

Lowest number: 75

Now let's find the average: 200 +75 /2 = 125

This means that on average there was a change of 125 feet during the 400 days

Now using this number, let's find the average daily change:

Average = average change/number of days

125/ 400 = 2.5 feet per day

Learn more about average in https://brainly.com/question/24057012

#SPJ1

Answer:

g(x)=x-2/x^2-9

If there is more than one value, separate them with commas.

Step-by-step explanation:

Answer:

Anna the teacher bought  54 child tickets and 19 adult tickets

Step-by-step explanation:

All circles are similar because their shape is same but sizes vary.

Similar figures are those figures which have the same shape, but sizes are different.

To prove the given statement, consider two circles C and C' with radius r and r' respectively.

r can be greater than or less than r'.

Circle C can be dilated to a certain value to get the circle C'.

The shape of both the circles remain same.

But the size is different.

This is the case for any arbitrary circles.

Hence all circles are similar.

Learn more about Similar Figures here :

https://brainly.com/question/20368229

#SPJ1

The set that does not represent a function is the one in option A.

{(6,−1),(1,−9),(6,−3),(−6,−5)}

A function is a relation that maps inputs into outputs, such that each input is mapped into only one output.

So, if we have a relation where an input has more than one output, then it is not a function.

And remember that the notation for the ordered pairs is (input, output)

Looking at the options, we can see the set:

{(6,−1),(1,−9),(6,−3),(−6,−5)}

Where the input x = 6 is mapped into two different outputs, -1 and -3

So this does not represent a function.

Learn more about functions at:

https://brainly.com/question/2328150

#SPJ1

The height of the roof from the ground is given as follows:

7 meters.

The quadratic functions for the motions in this problem are given as follows:

The ball is in the root at time zero of the downward motion, hence the height of the roof is obtained as follows:

F2(0) = -2(0)² + 0 + 7

F2(0) = 7 meters.

Which is the y-intercept of the function for the downward motion.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

The most appropriate graph to visualize the information is a PIE CHART. The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.

Both charts could be used to make a display of the information given.

The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.

The pie chart could be used to represent a whole of the 100 fruits as a single circle and divides the circle into parts based on the number of fruit belonging to each type including their respective percentages.

Also, since the number of fruits/types are just 5, using a pie chart gives a more accurate and readable visual representation of the information.

Learn more about of frequency here

brainly.com/question/15952755

#SPJ4

Answer:

y=-140x I think so

Step-by-step explanation:

The price for a box containing 36 pieces of cheese will be sold for $10.44

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, a bag of string cheese containing 24 pieces of cheese sells for $6.96, we need to find the price for a box containing 36 pieces of cheese using the same unit rate,

Since, 24 pieces are sold for = $6.96

Therefore,

1 piece will be sold for = 6.96 / 24 = $0.29

Therefore,

36 pieces of cheese will be sold = 0.29 x 36 = $10.44

Hence, the price for a box containing 36 pieces of cheese will be sold for $10.44

Learn more about unit rates, click;

https://brainly.com/question/29781084

#SPJ1

The correct justification to each box. The answer is 2(y − 5) + 4 = 4 given.

What is meant by box ?

To the complete questions is;

Drag the correct justification to each box.

2(y−5)+4=4

2y−10+4=4 []

2y−6=4 []

2y=10 []

y=5 []

2y − 10 + 4 = 4 Distributive Property

2y − 6 = 4 Addition

2y = 10 Addition Property of Equality

y = 5 Division Property of Equality

To learn more about box refer to

https://brainly.com/question/26393693

#SPJ1

This is an experimental study.

This study demonstrates an experimental design, as the intervention (tutoring and study skills advice) was used to examine the impact it had on the test scores.

An experimental study is used to examine the effects of an intervention or treatment on a group of participants. In this case, the study involved two groups of algebra students, one of which was given additional help in the form of tutoring and study skills advice while the other was not. After a few weeks, the students took a test and the results of the two groups were compared. This study demonstrates an experimental design, as the intervention (tutoring and study skills advice) was used to examine the impact it had on the test scores.

This study demonstrates an experimental design, as the intervention (tutoring and study skills advice) was used to examine the impact it had on the test scores.

Learn more about raw score here

https://brainly.com/question/29022735

#SPJ4

Answer: x= (5+√17)/(4) AND x=(5-√17)/(4)

Step-by-step explanation:

You subtract 5x to put it on the other side, so it's 2x^2-5x+1 and then use the quadratic formula. Hope this helps.

The Ferris wheel is 16.63 feet tall.

Angle of depression is the angle which is between a horizontal line and the line of sight which is pointed downwards.

We have a triangle formed here by the information given.

Angle of depression between the Ferris wheel and the friend on the ground = 61°

Distance of friend from the foot of the Ferris wheel = 30 feet

We have to calculate the height of Ferris wheel.

Let x be the required height.

tan 61 = 30 / x

x = 30 / tan 61

x = 30 / 1.804

x = 16.63 feet

Hence the height of the Ferris wheel is 16.63 feet.

To learn more about Angle of Depressions, click :

https://brainly.com/question/13514202

#SPJ1

19.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (1 h 4) must not be equal to zero. Therefore, h cannot be equal to -4. So, the value(s) of h that make the matrix a consistent linear system is any value other than -4.

20.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (6 8 4) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.

21.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (1 -4 3) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.

22.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (2 -3 -6) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.

In summary, in all four cases, h does not affect the consistency of the system, so the matrix is always consistent regardless of the value of h.

To learn more about the matrix:

https://brainly.com/question/24313510

#SPJ4

Answer:

x = 1/3 and x = -2

Step-by-step explanation:

3x² - 5 = -5x - 3

turn this into a quadratic equation by adding -5x and -3 to the other side

3x² + 5x - 2 = 0

factor:

(3x-1)(x+2) = 0

3x-1 = 0

x = 1/3   AND

x+2 = 0

x = -2

The solutions of the quadratic equation:

3x² - 5 = -5x - 3

are:

x = 1/3

x  = -2

Here we want to solve this quadratic equation:

3x² - 5 = -5x - 3

We can move all the terms to the left side to get:

3x² - 5 + 5x + 3 = 0

3x² +5x - 2  = 0

The solutions are given by the quadratic formula:

[tex]x = \frac{-5 \pm \sqrt{5^2 - 4*3*(-2)} }{2*3} \\\\x = \frac{-5 \pm7 }{6}[/tex]

Then the two solutions are:

x = (-5 + 7)/6 = 1/3

x = (-5 - 7)/6 = -2

Learn more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ1

The gestation period of horses is 417% longer than the gestation period of cats.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

We have been asked to find percentage change of the gestation period of horses and cats.

First of all we will find difference between our two numbers.

Difference= 336-65

                 =271

Now we will find percentage of our difference with respect to gestation period of cats.

Percentage change = 271/65*100

                                 =416.92

Therefore, gestation period of horses is 417% longer than the gestation period of cats.    

To learn more on percentage click:

brainly.com/question/13450942

#SPJ1

Answer:

10.58

Step-by-step explanation:

here we need to find out the value of x by Pythagoras theorem. By Pythagoras theorem in q right angled triangle the sum of squares of base and perpendicular is equal to the square of hypotenuse. so ,

h² = p² + b²

Now here ,

on using Pythagoras theorem,

h² = p² + b²

16² = 12² + x²

256 = 144 + x²

x² = 256 -144

x² = 112

x = √112

x ≈ 10.58 [ required answer]

and we are done!

-Rishabh

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

[tex]\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx[/tex]

= [tex][\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4[/tex]

= 2.07

Area B:

[tex]\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx[/tex]

= [tex][\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}[/tex]

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ1

1) There were 1.26 times as many assaults in Year 5 compared to Year 1

2) Graph B best represents the data.

What is Graph?

A graph is a structure that resembles a set of items in discrete mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given that;

The data is most accurately depicted in bar graph B.

It allows for the following data observations:

In year 1, there were 235 assaults.

Year 1 saw 265 assaults, Year 2 saw 250 attacks, Year 1 saw 280 assaults, Year 1 saw 295 assaults, and Year 2 saw 260 assaults.

1)In the first year, there were 235 assaults, and by the fifth year, there were 295 assaults.

ratio = year5/year1 = 295/235 =1.26

Hence , there were 1.26 times as many assaults in Year 5 compared to Year 1

2) The total number of data points falls between 200 and 300.

Therefore, graph A, whose output value ranges from 0 to 300, is not truly necessary.

Graph B, on the other hand, uses the right range and has a step size of 10, which is also fairly accurate.

Therefore, Graph B best depicts the data.

Learn more about Graph click here:

https://brainly.com/question/25184007

#SPJ1

In the given situation the best way for the viewer to comprehend this information is through the graph's histogram.

The distribution of numerical data is roughly depicted by a histogram.

Karl Pearson was the person who first coined the phrase.

The first stage in creating a histogram is to "bin" (or "bucket") the range of values, divide it into a series of intervals, and then count the number of values that fall into each interval.

The bins are often defined as a series of discrete intervals that don't overlap.

The bins (intervals) must be close together and frequently, though not always, have the same size.

The graph's histogram would help the viewer understand this information the best.

Therefore, in the given situation the best way for the viewer to comprehend this information is through the graph's histogram.

Know more about the Histogram here:

https://brainly.com/question/2962546

#SPJ4

Correct question:

Suppose you want to make a visualization that shows how many students bought certain quantities of candy from the vending machine during the month of September. What chart would best convey this information to the person looking at the graph?

Surface area overall of a cone is A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Volume of a cone:

V = (1/3)πr2h

Cone's slant height:

s = √(r2 + h2)

Lateral surface area of a cone:

L = πrs = πr√(r2 + h2)

Cone (circle) base surface area:

B = πr2

Total surface area of a cone:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

To learn more about cone, refer to:

https://brainly.com/question/1082469

#SPJ4

The angle in standard position formed by rotating the terminal side of angle one complete counterclockwise rotation has a radian measure of pi radians

To learn more about angle measure refer to:

https://brainly.com/question/25716982

#SPJ4

Vickie must sell at least 64 cupcakes in order to make a profit.

To  learn more about the break-even point theory refer to:

https://brainly.com/question/15281855

#SPJ1

The recursive formula for the sequence is -1, -6, -36, -216

is -1[tex](-6)^{n-1}[/tex].

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Example:

2, 4, 8, 16 is a geometric sequence.

We have,

-1, -6, -36, -216 is a geometric sequence.

The first term is -1,

The common ratio.

= -6/-1

= 6

Now,

The nth term of a geometric sequence is a[tex]r^{n-1}[/tex].

So,

= -1[tex](-6)^{n-1}[/tex]

Thus,

The recursive formula is -1[tex](-6)^{n-1}[/tex].

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ1

The solution graphs for the differential equations y' = 1 + x2 + y2, y' = xe?x2 ? y2, y' = 1/(1 + ex2 + y2), and y' = sin(xy) cos(xy) are labeled I, II, III, and IV respectively. The slope of the graphs when x is less than 0 and greater than 0, as well as the horizontal tangent line when y is equal to 0, are used to determine the correct graph for each equation.

Match the differential equations with the solution graphs labeled I-IV. Give reasons for your choices.

I 9-1-013a.gif II 9-1-013b.gif

III 9-1-013c.gif IV 9-1-013d.gif

(a)

y' = 1 + x2 + y2

y' = 1 + x2 + y2 ? (? < ? > = )1 and y' ? ? (1 ? 0 -1 -? )as x ? ?.

The only curve satisfying these conditions is labeled ? (I II III IV) .

(b)

y' = xe?x2 ? y2

y' = xe?x2 ? y2 ?( > ? ? = <) 0 if x > 0 and y' ? (? = > < ?) 0 if x < 0.

The only curve with ---Select---( negative positive horizontal vertical) tangent slopes with

x < 0

and ---Select--- positive negative horizontal vertical tangent slopes when

x > 0

is labeled ? (I II III IV) .

(c) y' =

1

1 + ex2 + y2

y' =

1

1 + ex2 + y2

? ? = ? > < 0 and y' ? ? (-? ? 1 0 -1 )as x ? ?. The only curve satisfying these conditions is labeled ?( I II III IV) .

(d)

y' = sin(xy) cos(xy)

y' = sin(xy) cos(xy) ? (> ? < ? )= 0 if y = 0,

which is the solution graph labeled ?( I II III IV) .

a) I

b) IV

c) II

d) III

a) The differential equation is y' = 1 + x2 + y2, which has a positive slope when x is less than 0 and a negative slope when x is greater than 0. The only graph with these conditions is labeled I.

b) The differential equation is y' = xe?x2 ? y2, which has negative tangent slopes when x is less than 0 and positive tangent slopes when x is greater than 0. The only graph with these conditions is labeled IV.

c) The differential equation is y' = 1/(1 + ex2 + y2), which has a negative slope when x is less than 0 and a positive slope when x is greater than 0. The only graph with these conditions is labeled II.

d) The differential equation is y' = sin(xy) cos(xy), which has a horizontal tangent line when y is equal to 0. The only graph with this condition is labeled III.

The solution graphs for the differential equations y' = 1 + x2 + y2, y' = xe?x2 ? y2, y' = 1/(1 + ex2 + y2), and y' = sin(xy) cos(xy) are labeled I, II, III, and IV respectively. The slope of the graphs when x is less than 0 and greater than 0, as well as the horizontal tangent line when y is equal to 0, are used to determine the correct graph for each equation.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4