What is the constant of proportionality?

Answer:

30

Step-by-step explanation:

Perimeter of parallelogram = 70 ft

-> 2x + 2y = 70 .....(1)

x = 6y (Given) .....(2)

From equations (1) & (2)

2(6y) + 2y = 70

12y + 2y = 70

14y = 70

y = 70/14

y = 5

-> x = 6*5

-> x =30

This shape is called parallelogram.

perimeter : 2(base + height)

Identify the base and height

base : x ≈ 6(y)                                          [ as x is 6 times as large as y ]

height : y

====================================

Find x:

Answer:

cos S = 7/25

Step-by-step explanation:

cosine is the ratio of the side adjacent to angle S and the hypotenuse.

use the pythagorean Theorem to or a Pythagorean triple to find the third side of the triangle It is a  7-24-25 triple or

b²=c²-a²

b=√c²-a²

b=√625-196

b=√49=7

cos S = 7/25

Answer:

the answer is B, 4:00 am

Step-by-step explanation:

Answer:

At approximately what time on the next day does the depth first reach 4 meters?

3:00 am

4:00 am

5:00 pm

10:00 am

The correct answer is B. 4:00 am  

Answer:

30°

Step-by-step explanation:

<KOL = <JOL - <JOK

= 58° - 28°

= 30°

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2

Answer:

A square with side lengths of 5.5*5 = 25.

Step-by-step explanation:

Answer:

h(x) = (x + 1)^2 + 4/ 23+40 =49

Step-by-step explanation:

The step by step is on papamath.com

Answer:

90 degrees

Step-by-step explanation:

it is a right angle

Answer:

x: 8.75

y: 8.5

Step-by-step explanation:

Since the two triangles are similar, you can find the scale of LJK relevant to TRS by dividing 7/4 = 1.75

This means each side of LJK is 1.75 times greater than the respective side of TRS

Now you can plug this in to the other two sides by doing 5*1.75=8.75 and 6*1.75=10.5

This solves x, but since side LK is y+2, y is 10.5-2=8.5

x=8.75

y=8.5

Answer:

2.5

Step-by-step explanation:

5 divided by 2 equals 2.5

Answer:

595

Step-by-step explanation:

2 positions for 35 employees.

[tex]C(n) = (\frac{n}{k}) = \frac{n!}{(k!(n-k)!)}[/tex]

Where n = 35, total number of employees and k = 2, how many spots available

[tex]\frac{35}{2} = \frac{35!}{2!(n-k)!} = \frac{35*34}{2 * 1} = 595[/tex]

Answer:

595

Step-by-step explanation:

Answer:

[tex]la = 588 \: \: {cm}^{2} [/tex]

Step-by-step explanation:

Lateral area for trapezoidal prism:

- Is the sum of all the areas excluding the base area.

la - Lateral area

[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]

[tex]la = al + \: bl + \: cl + \: dl[/tex]

[tex]la = l(a + \: b + \: c + \: d)[/tex]

[tex]la = 12(20 + 10 + 10 + 9)[/tex]

[tex]la = 588 \: \: {cm}^{2} [/tex]

Answer:

the given picture is not clear

Answer:

208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.

So, the formula for finding the surface area is ;

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\[/tex]

Now, we'll substitute the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\[/tex]

Therefore,

33117.7 in is the answer I believe…

Answer:

33117.7

Step-by-step explanation:

33117.7 is the perfect answer

Answer:

2 cats

Step-by-step explanation:

12% of 24 = 2.88

Answer:

2 cats were adopted.

Step-by-step explanation:

When finding a percentage of something, heres a trick. Just take the number you taking the perccentage of, and mutiply it by the percentage. In this case, 24*12.

24*12 = 288.

Now take that new number and divide it by 100. Now you have your answer. In this case,

288/100 = 2.88.

Becuase these are cats, we can't have or adopt half of one XD. You can't adopt half of a cat, so we round it down to 2. Meaning, 2 cats were adopted.

Answer:

height of the equilateral triangle is 5cm

by the use of Pythagoras

Step-by-step explanation:

Answer:

12.25

Step-by-step explanation:

B = 15.25 -0.06x

B = 15.25 -0.06(50)

B = 12.25

Answer:

0.0000571

Step-by-step explanation:

Height after 9th bounce = Initial height * (19/100)^9

                                        = 177*(0.19)^9

                                        = 0.00005711572

The vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5), the correct option is C.

The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.

The standard equation of the vertex of the parabola is;

[tex]\rm a(x - h)^2 + k[/tex]

Where h and k are the coordinates of the vertex of the parabola.

The given expression is;

[tex]\rm =3x^2 - 12x + 7\\\\= 3(x^2 - 4x) + 7\\\\ = 3[ (x - 2)^2 - 4)] + 7\\\\= 3(x - 2)^2 - 12 + 7\\\\= 3(x - 2)^2 - 5[/tex]

On comparing with the standard form of vertex of the parabola

h = 2 and k = -5

Hence, the vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5).

To know more about parabola click the link given below.

https://brainly.com/question/20333425

Answer:

18.75 pounds

Step-by-step explanation:

3.75 pounds per 5 batches

batch 1 :    3.75                                                                 7.5

add them +                                                                    +  7.5

batch 2:  3.75                                                                =   15

              =                                                                          +3.75

                7.5                                                                  = 18.75

                                                                                 hope this helped

batch 3:  3.75

add them +

batch 4  3.75

              =  7.5

    batch 5  3.75

Step-by-step explanation:

3×3 = 9, so it's greater than 3

3×4/3 = 4, so it's greater than 3

3×5/5 = 3, so it's equal to 3

3x4/9 = 4/3, so it's less than 3

3x5/6 = 5/2, so it's less than 3

The equation that can be used to solve for n, the smaller of the two numbers would be n² + n - 210 = 0.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

If we use n to be the smaller number of two integer numbers, then the next consecutive number is n + 1.

The product of those two numbers would become n × (n + 1) = n (n + 1).

Half of that product is n (n + 1) / 2.

And the question states that the equation is equal to 105, so the equation becomes,

n (n + 1) / 2 = 105

Now we have to simplify that equation until we get an expression equal to one of the choices,

Multiply both sides by 2

n (n + 1) = 210

n² + n = 210

Subtract 210 from both sides

n² + n - 210 = 0

Thus, the equation formed is the quadratic equation.

Learn more about quadratic equations;

brainly.com/question/13197897

Answer:

n² + n - 210 = 0 is your answer! hope it helps!

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

do 5 into 600 and u get 12 have a good day!!!

Answer:

$144

Step-by-step explanation:

first, we need to divide 600 by 50, to get them organized for the best packages. 600/50 = 12.

then, we multiply that (the 12) by the cost ($12/ea) so 12*12 which is $144 if they use the bundling.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:10 {x}^{2} - 25x + 15 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:5(2x {}^{2} - 5x + 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 5x + 3 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 3x - 2x + 3 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(2x - 3) - 1(2x - 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x - 1)(2x - 3) = 0[/tex]

Therefore, the required factors are ~ (x - 1) and (2x - 3)

So, correct choice is B

Answer:

the answer is 10666.6666667.

Step-by-step explanation:

40*40*40=64000

64000/ 6=10666.6666667

Answer:

See below

Step-by-step explanation:

There are   27 C 5 ways to choose 5 doctors from 27

             = 27 ! /(22!  5!)  = 80730 ways to choose 5

This is a COMBINATION.

Answer: Combination

Step-by-step explanation: It has no order of selection. It is random and can't be paired like permutation.

Compare with another response

Answer:

https://brainly.com/question/27407610

Step-by-step explanation:

d(4.4)

hope it really helps ...!!!

Answer:

Example:

Sri Rangaman's flower garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 meters, the area will be 19 square meters more than the present area. What is the length of a side now?

Another Example how to solve it:

1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below

How to use the square root function in word problems?Examples: 1. The floor of a square room is covered with square-foot floor tiles. If 81 tiles cover the floor, how long is each side of the room?2. Mr. Dase found a square digital image of a famous painting on a Web site. The image contained 490,000 pixels. How many pixels high is the image?