Which part of this graph shows a linear relationship?

Answer:

[tex]P = [-3/5,2.33][/tex]

Step-by-step explanation:

Given

See attachment for line segment RQ

[tex]P = \frac{5}{6}[/tex] of RQ

Required

The coordinates of P

Using line segment ratio formula, we have:

[tex]P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]

If P is at:

[tex]P = \frac{5}{6}[/tex]

Then:

[tex]m : n = \frac{5}{6} : 1 -\frac{5}{6}[/tex]

Solve

[tex]m : n = \frac{5}{6} : \frac{6-5}{6}[/tex]

[tex]m : n = \frac{5}{6} : \frac{1}{6}[/tex]

Multiply by 6

[tex]m : n = \frac{5}{6} *6: \frac{1}{6} * 6[/tex]

[tex]m : n = 5 : 1[/tex]

By comparison

[tex]m=5\ \& n = 1[/tex]

From the attached line segment

[tex]R(x_1,y_1) = (4,-1)[/tex]

[tex]Q(x_2,y_2) = (-5,3)[/tex]

So, we have:

[tex]P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}][/tex]

[tex]P = [\frac{-25 + 4}{6},\frac{15 -1}{6}][/tex]

[tex]P = [\frac{-21}{6},\frac{14}{6}][/tex]

[tex]P = [-3/5,2.33][/tex]

Answer and Step-by-step explanation:

Work is in Picture:

#teamtrees #PAW (Plant And Water)

Answer:

252

Step-by-step explanation:

14 x 6 x 12 = 1008/2 = 504/2 = 252

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

Answer:

1211.65 cubed ft.

Step-by-step explanation:

Half sphere: V = 4/3(3.24)(5.25^3)

V = 605.82

Divide by two since we need to find the volume of the half sphere, not the full sphere.

605.82 ÷ 2 = 302.91

Cylinder: V = (3.14)(5.25^2)(10.5)

V = 908.74

Add the two volumes to each other to find the total volume of the composite figure.

908.74 + 302.91 = 1211.65

Answer:53.38 is the answer

Step-by-step explanation:

The radius is always half of the diameter so half of 17 is 8.5. 8.5x3.14 is 26.69. Then you add 26.69+26.69 to get the answer. (I’m not positive that this is correct)

Answer:

Function g(x)

Step-by-step explanation:

Given

See attachment for functions

Required

Which has an average rate of 3 over [1,3]

The average rate of change (m) is calculated as:

[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]

Where:

[tex][a,b] = [1,3][/tex]

So, we have:

[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]

[tex]m = \frac{f(3) - f(1)}{2}[/tex]

From the table f(x), we have:

[tex]f(3) = 6\\ f(1) = -2[/tex]

So:

[tex]m = \frac{6 - -2}{2}[/tex]

[tex]m = \frac{8}{2}[/tex]

[tex]m =4[/tex]

From the graph of g(x), we have:

[tex]g(3) = 4\\ g(1) = -2[/tex]

So:

[tex]m = \frac{g(3) - g(1)}{2}[/tex]

[tex]m = \frac{4 - -2}{2}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

Since only one of the function has an average rate of change of 3 over the given interval,

Then g(x) answers the question

Answer:

Apothem:

radius is the same length as the base/length of each side of the hexagon.

r = 8

use pythagorean theorem to calculate the apothem

[tex]4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928[/tex]

≈ 6.9

Area

[tex]A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7[/tex]

Answer:

D.   150°

Step-by-step explanation:

∠X and ∠W are supplementary

Let a = m∠X

Then 5a = m∠W

m∠X + m∠W = 180

a + 5a = 180

6a = 180

a = 30

m∠W = 5a = 5(30) = 150°

Answer:

9.1m

Step-by-step explanation:

h = V ÷ l w = 819 ÷ (10 × 9) = 9.1m

Have a good day

Answer:

$417.91

Step-by-step explanation:

Answer:

Length of side of square = 8 inch

Step-by-step explanation:

Given:

Length of rectangular wire = 9 inch

Width of rectangular wire = 7 inch

Find:

Length of side of square

Computation:

We know that same wire is used from square

So,

Perimeter of rectangle = Perimeter of square

2[l + b] = 4 x side

2[9 + 7] = 4 x Length of side of square

2[16] = 4 x Length of side of square

32 = 4 x Length of side of square

Length of side of square = 32 / 4

Length of side of square = 8 inch

Answer:

Simplifying

6z2 + -8z + 1 = 0

Reorder the terms:

1 + -8z + 6z2 = 0

Solving

1 + -8z + 6z2 = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

Answer:

Answe⁣r is i⁣n a phot⁣o. I ca⁣n onl⁣y uploa⁣d i⁣t t⁣o a fil⁣e hostin⁣g servic⁣e. lin⁣k belo⁣w!

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ly/3a8Nt8n

Answer: There are 56 boys in the 10th grade

Step-by-step explanation:

Step 1

ratio of boys to girls in the 10th grade is 8 :13

Number of girls= 91

To find the number of boys, we first find the total number of boys and girls in the 10th grade

Step 2

Now the total ratio= 8 +13=21

Number of girls = ratio of girls/ total ratio  x  Total number of students

91=13/ 21  x  Total number of students

Total number of students =21 x 91 / 13  =147

Step 3

Therefore Number of boys =ratio of boys/ total ratio  x  Total number of student

8/21 x 147=56

Answer:

3:2

Step-by-step explanation:

I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!

Answer: 1 boy for every 3 girls

Step-by-step explanation:

I put 30/45 into a fraction and simplified.

Answer:

Step-by-step explanation:

Volume of a cube = (side)³

                              = (20)³

                              = 8000 cubic in.

Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = Radius of the sphere

Since, sphere just fits in, radius of the sphere = half of the dimension of the cube

r = [tex]\frac{20}{2}[/tex]

r = 10 in

Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]

                                                        = 4188.79 cubic inch

Volume of the space between the cube and sphere = 8000 - 4188.79

                                                                                       = 3811.21 cubic inch

The probability that Felix will spin a green and an F on the next spin is 2/45.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, Felix spins each spinner 30 times. He

records the number of times each section is spun. Red (7), Yellow (5), Blue (10), Green (8)

Since probability distribution:

A probability distribution is a mathematical function that describes the probability of different possible values of a variable.

probability= desired outcome/ Total Outcomes

In our case,

Total outcomes = 30 *30

Desired outcome = spin a green and an F on the next spin

Since from probability distribution getting F and getting green has a likelihood of 5 and 8.

thus,

Probability  = 8 * 5/ 30 *30

probability = 2/45

therefore,  the probability that Felix will spin a green and an F on the next spin is 2/45.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Answer: 4d + 3

Step-by-step explanation:

Megan's daughter's age = d

Based on the information given, since Megan's age is three years more than four times her daughter's age, this can be written mathematically as:

= (4 × d) + 3

= 4d + 3

Therefore, Megan's age is 4d + 3.

For example, if the daughters age is 7 years, Megan's age will be:

= 4d + 3

= 4(7) + 3

= 28 + 3

= 31 years

Answer:

7x-2=19

5x=15

5x+6=21

................

Step-by-step explanation:

Here x = 3

3x = 1 (False)

3* 3 ≠1

3x = 33 (False)

3 *3 ≠ 33

7x - 2 =19 (True)

7 *3 - 2 = 19

21 - 2 = 19

19 = 19

2x = 5 (False)

2 *3 ≠ 5

5x = 15 (True)

5 * 3 = 15

15 = 15

5x + 6 = 21 (True)

5 * 3 + 6 = 21

15 + 6 = 21

21 = 21

Hope it will help :)❤

Answer:

x squared -3× =x(x-3)

Step-by-step explanation:

Since the common factor is x,one comes out to multiply the other to give it x squared and since one x has been written outside already we just write the 3 so that when we multiply it we will get the answer we were asked to factorise

Answer:

4 × 2/9

Im sorry if I'm wrong

Answer:

4 × 2/9

Step-by-step explanation:

both equal 8/9

Answer:

3a) -22 + 5 = -17

3b) -22 - (-5) = -22 + 5 = -17

3c) (-22)(-5) = 110

3d) -22 ÷ 5 = -4.4

Hope this helps!

Step-by-step explanation:

a) -22+5=-17

b)-22+5=-17

c)-22_5=-27

d)-22÷5=-4.4