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atroni [7]
2 years ago
15

Whats this answer i need it fast uwu

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0
Find slope (y2-y1)/(x2-x1)
Pick points: (1,10) , (2,8)
(8-10)/(2-1) = -2/1 = -2
Y = -2x + b
10 = -2 + b, b = 12
It would be the first response
12 = initial while -2 is rate of change
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15 POINTS ANSWER ASAP, SHOW WORK
forsale [732]

Answer:

V=97.6\ in^3

Step-by-step explanation:

step 1

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=4/2=2\ in ---> the radius is half the diameter

h=8\ in

substitute

V=\pi (2)^{2}(8)\\\\V=32\pi\ in^3

step 2

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

we have

r=2\ in ---> the radius is the same that the radius of the cylinder

h=0.70\ in

substitute

V=\frac{1}{3}\pi (2)^{2} (0.70)\\\\V=0.93\pi\ in^3

step 3

Find the volume of the plastic object

we know that

The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone

so

V=32\pi-0.93\pi=31.07\pi\ in^3

assume

\pi=3.1416

V=31.07(3.1416)=97.6\ in^3

8 0
3 years ago
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
Fittoniya [83]

Answer:

(a)

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

r\geq  5

Since she does yard work, y\geq 0

Lia’s parents allow her to work a maximum of 15 hours per week overall.

r+y\leq 15

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

8r+12y\geq 120

The system of inequalities that represent this problem is therefore:

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

  • (5,10)
  • (5, 6.7)
  • (15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

  • At (5,10), Earning=(5X8)+(10X12)=40+120=$160
  • At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
  • At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

8 0
3 years ago
What is the y-intercept of the line given by the equation below? Enter your answer as an ordered pair.
max2010maxim [7]

The y intercept of given equation y = 2x + 10 is (0, 10)

<em><u>Solution:</u></em>

Given equation of line is:

y = 2x + 10

<em><u>To find: y intercept of the line</u></em>

The point where a line or curve crosses the y-axis of a graph is y intercept

<em><u>Finding y - intercept:</u></em>

To find the y-intercept, plug 0 in for 'x' and solve for 'y'

<em><u>Substitute x = 0 in given equation</u></em>

y = 2(0) + 10

y = 0 + 10

y = 10

Thus the y intercept of given equation is (0, 10)

3 0
3 years ago
Point A(2, 2) and point D(−4, −3) are located on the grid. Which measurement is closest to the distance between point A and poin
Virty [35]

Answer:

B


Step-by-step explanation:

The distance formula is D=\sqrt{(y_2-y_1)^{2}+(x_2-x_1)^{2}}

Where (x_1,y_1) is the first coordinate (our case, point A(2,2)) &  (x_2,y_2) is the second coordinate (our case, point D(-4,-3))


<em>Plugging these in into the formula gives us:</em>

D=\sqrt{(y_2-y_1)^{2}+(x_2-x_1)^{2}} \\D=\sqrt{(-3-2)^{2}+(-4-2))^{2}} \\D=\sqrt{(-5)^{2}+(-6)^{2}}\\ D=\sqrt{25+36} \\D=\sqrt{61} \\D=7.81


Answer choice B is closest.

5 0
3 years ago
Read 2 more answers
What does this mean 405(8) in math?
zepelin [54]
405 multiplied by 8 (: 

4 0
3 years ago
Read 2 more answers
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