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Contact [7]
3 years ago
10

Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer:

  • 9 unit²

Step-by-step explanation:

The points are plotted and the figure is a parallelogram with base and height both of 3 units long.

<u>The area is:</u>

  • A = 3*3 = 9 unit²

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What is the factored form of 125a6-64?
iogann1982 [59]

Answer:

(5a^2-4)*(25a^4+20a^2+16)

Step-by-step explanation:

7 0
3 years ago
for the opening day of a carnival, 800 admission tickets were sold. The receipts totaled $3775. Tickets for children cost $3 eac
zloy xaker [14]
Total tickets sold  = 800
Total revenue = $3775

Ticket costs:
$3  per child,
$8  per adult,
$5 per senior citizen.

Of those who bought tickets, let
x =  number of children 
y = number of adults
z = senior citizens

Therefore
x + y + z = 800                   (1)
3x + 8y + 5z = 3775           (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y                                (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y                        (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775                 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225  adults,
125 senior citizens.
6 0
3 years ago
What is equal to 3 * 3 * 3 * 3 * 3​
ladessa [460]

Answer:

243 or 3^5

Step-by-step explanation:

You can do the product by multiplying starting from the left.

3 * 3 * 3 * 3 * 3​ =

= 9 * 3 * 3 * 3

= 27 * 3 * 3

= 81 * 3

= 243

You can also change it to an exponential form.

3 * 3 * 3 * 3 * 3​ = 3^5

3 0
3 years ago
Read 2 more answers
Find the volume of the cone. Round your answer to the nearest tenth.<br> 13 ft<br> 10 ft
Jlenok [28]

Answer:

340

Step-by-step explanation:

340.33 and rounfing off whole number is 340

5 0
2 years ago
A survey of 25 grocery stores revealed that the mean price of a gallon of milk was $2.98, with a standard error of $0.10. What i
Gnesinka [82]

Answer:

95% confidence interval: (2.784,3.176)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 25

Sample mean = $2.98

Standard error = $0.10

Alpha = 0.05

95% confidence interval:

\mu \pm z_{critical}(\text{Standard error})

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

2.98 \pm 1.96(0.10) = 2.98 \pm 0.196 = (2.784,3.176)

5 0
3 years ago
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