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kozerog [31]
2 years ago
6

A map of Arizona, is drawn on a coordinate grid where each unit represents one mile. The high school is located at (7, -2). The

public library is directly 8 miles north of the high school. What ordered pair represents the location of the public library. PLEASE HELP ASAP THIS IS DUE TODAY explanation. And brainliest
Mathematics
1 answer:
Nonamiya [84]2 years ago
3 0

Answer:

(7,6)

Step-by-step explanation:

We already know that the high school is located at (7,-2) and when writing coordinate points we write the x value and then the y value. (x,y) The x represents when you move left or right while the y represents moving up or down. In this example we are moving up because the library is 8 miles north of the high school. All we need to do is add 8 to -2. 8+(-2) =6. So, (7,6) is your answer.

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How many hours of sleep do you get each night? Is this a statistical question
noname [10]

Answer:

Yes.

Step-by-step explanation:

This is a statistical question because a statistical question is a question that can be answered by collecting data that vary. The question that you provided would have different answers from different people.

Another example of a statistical question could be: "How old are the students at my school?" This would be statistical because once again, the ages will vary from different people.

4 0
3 years ago
5 Michiko has a metal container in the shape of a cuboid. The container is 2.4 m long, 1.2 m wide and 0.6 m high. Michiko plans
konstantin123 [22]

Answer:

a) Michiko needs to buy 18 tins of paint.

b) cost of paint would be $152.82

Step-by-step explanation:

Surface area of cuboid = 2lw + 2lh + 2hw

Length (l) = 2.4 m

Width (w) = 1.2 m

Height (h) = 0.6 m

SF = 2(2.4 × 1.2) + 2(2.4 × 0.6) + 2(0.6 × 1.2)

   = 5.76 + 2.88 + 1.44

   = 10.08 meter²

Paint coverage is 4.5 meter² per liter.

Total paint used in one coat =

                                              = 2.24 liters

Paint used in double coats = 2.24 × 2 = 4.48 liters

a) Size of one tin paint = 250 ml

1 liters = 1000 ml

4.48 liters = 4.48 × 1000 = 4480 ml

Number of tins needed by Michiko =

                                                          = 17.92 ≈ 18 tins

b) Cost of one tin of metal paint = $8.49

∴ cost of 18 tins of paint = $152.82

a) Michiko needs to buy 18 tins of paint.

b) cost of paint would be $152.82

3 0
2 years ago
I need help with this problem
marishachu [46]

True

∠2 and ∠5 are both vertical at the vertex of the 2 straight lines



7 0
3 years ago
Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu
kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

f(x) =  {x}^{5}  -  {x}^{3}  + 6

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

f'(x) = 5 {x}^{4} - 3 {x}^{2}

At turning point f'(x)=0.

5 {x}^{4} - 3 {x}^{2}  = 0

This implies that,

{x}^{2} (5 {x}^{2}  - 3) = 0

{x}^{2}  = 0 \: or \: 5 {x}^{2}  - 3 = 0

x =  - \frac{ \sqrt{15} }{5}   \: or \: x = 0 \:  \: or \: x =\frac{ \sqrt{15} }{5}

We plug this values into the original function to obtain the y-values of the turning points

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  +750)) \:and \:  (0, - 6) \: and\: (   \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( - 6 \sqrt{15}  +750))

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]

f''(x) = 20 {x}^{3}  - 6x

f''( -  \frac{ \sqrt{15} }{5} ) \:   <  \: 0

Hence

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  + 750))

is a maximum point.

f''( \frac{ \sqrt{15} }{5} ) \:    >  \: 0

Hence

(     \frac{ \sqrt{15} }{5}  , \frac{1}{125} (- 6 \sqrt{15}  + 750))

is a minimum point.

f''(0) \: =\: 0

Hence (0,-6) is a point of inflexion

4 0
3 years ago
Jed's has $45 for the amusement park. He spent $17 for admission into the park.
77julia77 [94]
If you take the original amount 45 and subtract the admission fee 17 you get what is left over which would be  28 dollars. Good Luck and I hope that this helps!!
6 0
3 years ago
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