Rachel is a lunch room supervisor at west school the children eat lunch at 15 long tables when all tables are used 240 children can eat at one time how many seats are there at each table?

Answer:

x= -4

Step-by-step explanation:

2x+4=6x+20

so 2x-6x=20-4

divide both sides by -4

-4x/-4 = 16/4

=-4

Answer:

a)(140,57)

b)positive correlation

c)155cm (Give or take)

Step-by-step explanation:

a) find the outlier which doesn't follow the pattern as the rest

find the coordinates.(140,57)

b)all of the results follow a positive pattern when weight increases so does the height.

c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.

hope this helps

The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm

This is the point that is far from other points in the scatter plot.

From the given graph, the point (140,57) is far from others.

Hence, the outlier point is (140,57)

From the graph, we can see that the points increase towards the right.

This represents a positive correlation

Hence, the correlation type is a positive correlation

The weight is given as:

Weight = 45 kg

From the graph, the closest points to y = 45 are

x = 148, 153, 156 and 158

The mean of these values is 154.

Hence, the estimated height of the student is 154 cm

Read more about scatter plots at:

https://brainly.com/question/6592115

#SPJ6

Answer:

(-14,0)

Step-by-step explanation:

-x+2y=14 to find the x intercept means y=0

-x+0=14

x=-14

Step-by-step explanation:

as you can see all the values more than -3 are included in the graph

so the answer is:

y≥-3

Answer:

See attached graph for the first part

Answer to second part: The end part of the graph show the slowest increase

Step-by-step explanation:

The attached picture represents the number of infected people, starting with a relatively small number at the origin of the horizontal axis (x=0, or time=0) then increasing abruptly in the center of the graph with steep slope. and then infection slowing down (although still slowly increasing) in the region highlighted in yellow to the right of the graph.

Answer:

The length of the arc is 89 yards

Step-by-step explanation:

Mathematically, to find the length of an arc, we use the formula below;

Length of an arc = Theta/360 * 2 * pi * r

In this case, Theta = 300 and r = 17 yards

Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard

Answer:

the correct answer is (b).........

Answer:

ABC = 140

Step-by-step explanation:

ABD = 70

ABD = DBC since it is bisected

ABC = ABD + DBC

        = 70+70

ABC = 140

Answer:

y = -2/3x + 1

Step-by-step explanation:

Step 1: Find slope

m = (-1 - 3)/(3 + 3)

m = -2/3

y = -2/3x + b

Step 2: Find b

-1 = -2/3(3) + b

-1 = -2 + b

b = 1

Step 3: Write equation

y = -2/3x + 1

Answer:

[tex]\boxed{\sf \ \ \ maximum \ is \ 11^9=2357947691 \ \ \ }[/tex]

Step-by-step explanation:

hello

[tex]y = 11^{(6x-x^2)}=exp((6x-x^2)ln(11))[/tex]

so to know the maximum to y we can check the maximum of

f(x)=[tex]6x-x^2[/tex]

f is derivable and f'(x)=6-2x

f'(x)=0 <=> x = 3

so the maximum is reached for x = 3

f(3)=18-9=9

and then

[tex]y = 11^9=2357947691[/tex]

to be rigorous, we can write the variation table of y to show that there is only one maximum

hope this helps

Answer: D.

Step-by-step explanation:

Hexagon has six sides, the sum exterior angles is 360 degrees

if you divide 360 by 6 you will get 60 degrees for each sides.

I might be wrong, I suck at geometry even if im doing calc

Answer:

What is the question?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The data is already in accending order

you look for the value in middle

that will be your median

Answer:

The midpoint is (3,8)

Step-by-step explanation:

To find the x coordinate of the midpoint,  add the two coordinates together and divide by 2

( 4+2)/2 = 6/2 = 3

To find the y coordinate of the midpoint,  add the two coordinates together and divide by 2

( 7+9)/2 = 16/2 = 8

The midpoint is (3,8)

Answer:

The reason is because linear functions always have real solutions while some quadratic functions have only imaginary solutions

Step-by-step explanation:

An asymptote of a curve (function) is the line to which the curve is converging or to which the curve to line distance decreases progressively towards zero as the x and y coordinates of points on the line approaches infinity such that the line and its asymptote do not meet.

The reciprocals of linear function f(x) are the number 1 divided by function that is 1/f(x) such that there always exist a value of x for which the function f(x) which is the denominator of the reciprocal equals zero (f(x) = 0) and the value of the reciprocal of the function at that point (y' = 1/(f(x)=0) = 1/0 = ∞) is infinity.

Therefore, because a linear function always has a real solution there always exist a value of x for which the reciprocal of a linear function  approaches infinity that is have a vertical asymptote.

However a quadratic function does not always have a real solution as from the general formula of solving quadratic equations, which are put in the form, a·x² + b·x + c = 0 is  [tex]\dfrac{-b \pm \sqrt{b^{2} - 4\cdot a\cdot c}}{2\cdot a}[/tex], and when 4·a·c > b² we have;

b² - 4·a·c < 0 = -ve value hence;

√(-ve value) = Imaginary number

Hence the reciprocal of the quadratic function f(x) = a·x² + b·x + c = 0, where 4·a·c > b² does not have a real solution when the function is equal to zero hence the reciprocal of the quadratic function which is 1/(a·x² + b·x + c = 0) has imaginary values, and therefore does not have vertical asymptotes.

Answer:

19.025

Step-by-step explanation:

( (4x3) + (13x2) + 5% ) divided by  1 + 1

4 x 3 = 12

13 x 2 = 26

5% = 1/20 or 0.05

so

   (12 + 26 + 0.05) ÷ 2

   (38 + 0.05) ÷ 2

   38.05 ÷ 2 = 19.025

(⌐■_■)

Answer:

7^15

Step-by-step explanation:

(7^5)^3

We know that a^b^c = a^(b*c)

 (7^5)^3 = 7^(5*3)

              = 7^15

none of the above

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

Answer:

1) 2 (11) - 1/2

Step-by-step explanation:

Given the following:

A line “t” is parallel to 3y = 6x + 9

Equation of a line;

y = mx + c

Where the Coefficient of x, 'm' is the gradient or slope and c is the intercept.

From the equation;

3y = 6x + 9

Divide through by 3

y = 2x + 3

Comparing the line equation with the equation provided :

Coefficient of x = 2, therefore 2 = slope

Since line t is Parallel to y = 2x + 3

Then, slope of line 't' is the same as that of y:

Slope of line 't' = 2

(11) For perpendicular lines :

Slope of original line : 3y = 6x + 9

Divide through by 3

y = 2x + 3

Compare to line equation:

y = mx + c

m = gradient/ slope, c = intercept

Gradient of original line, m = 2

For a line 'r' perpendicular to y = 2x + 3

Gradient, m of line r equals to the negative reciprocal of the gradient of original line

Therefore, gradient of r equals :

-1/2

Step-by-step explanation:

it's simple:

Answer:

About 157 meters

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:

[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]

Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!

Answer:

Solution,

1 round = circumference

[tex]2\pi \: r[/tex]

[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]

[tex] = \frac{44}{7} \times 12.5[/tex]

Required distance covered:

[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]

hope this helps..

Good luck on your assignment...

Answer:

Number of lawns mow in 49 hours = 31.5 lawns

Step-by-step explanation:

Given:

Number of lawns mow = 9

Time taken = 14 hours

Find:

Number of lawns mow in 49 hours

Computation:

Time taken for 1 lawn = 14 / 9

Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn

Number of lawns mow in 49 hours = 49 / (14/9)

Number of lawns mow in 49 hours = 31.5 lawns

Answer:

The answer is D.

Step-by-step explanation:

The lateral surface area of a 3-D figure is the area of each face that is NOT a base.

Answer:

2.94

Step-by-step explanation:

SA

Area of one plane moultyply by number of planes

0.7*0.7*6

=2.94

Answer: angles EBA and HBI are congruent

Step-by-step explanation:

they are the congruent because they are verticle angles

Answer:

I think it's 1/2 because it might be right

Answer:

6 + 6y + 6 = 12 + 6

Step-by-step explanation:

2(3) + 6y = 12

Multiply 2(3).

6 + 6y = 12

Subtract 6 on both sides, so y variable is isolated.

6 + 6y - 6 = 12 - 6

6y = 6

Divide by 6 on both sides.

6y/6 = 6/6

y = 1

Answer:

Step-by-step explanation:

The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.

  PN² = 33² +60² = 4689

  PN = √4689 ≈ 68.476 . . . meters

Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.

  NS² = PN² +PS² = 4689 +1600 = 6289

  NS = √6289

  NS ≈ 79.3 . . . meters

__

We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:

  tan(PNS) = NS/PN = 40/68.476

  ∠PNS = arctan(40/68.476)

  ∠PNS ≈ 30.3°

Answer:

2600

Step-by-step explanation:

the number of female : 5000*48%= 2400 female

males =5000-2400=2600 0r 52%

Answer:

B. [tex] 4\sqrt{7}[/tex]

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

[tex] h = \sqrt{(xy)} [/tex]

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = [tex] h = \sqrt{(14*8)} [/tex]

[tex] h = \sqrt{112} [/tex]

[tex] h = \sqrt{16}*\sqrt{7}[/tex]

[tex] h = 4\sqrt{7}[/tex]

Hey there!

Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!

So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).

3.92÷2.8=1.4

So, the first package is 1.4 times heavier than the first one!

Have a wonderful day!

Answer:

140 square units

Step-by-step explanation:

The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.