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Ganezh [65]
3 years ago
4

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.

Mathematics
2 answers:
IgorLugansk [536]3 years ago
8 0

Answer:

22 degrees

Step-by-step explanation:

22 is within 4 of 24

kogti [31]3 years ago
7 0

Answer:

I'm gonna swing

18°

Step-by-step explanation:

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Georgia is reading at a rate of 2 pages everything 5 minutes. Which graph below shows the same unite rate?
user100 [1]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
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A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh
aleksklad [387]

The spider's movement is an illustration of a parabola.

  • The equation of a parabola is: \mathbf{y = -\frac{1}{160}(x - 40) + 10}
  • The focus of a parabola is: (40,-30)
  • The axis of symmetry is: \mathbf{x = 40}
  • The directrix is:\mathbf{y = 50}

<u>(a) The equation</u>

The spider passes through the origin.

So, we have:

\mathbf{(x,y) = (0,0)}

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

\mathbf{(h,k) =  (40,10)}

The equation of a parabola is:

\mathbf{y = a(x - h)^2 + k}

So, we have:

\mathbf{0 = a(0 - 40)^2 + 10}

Subtract 10 from both sides

\mathbf{a(0 - 40)^2 =- 10}

\mathbf{1600a =- 10}

Solve for a

\mathbf{a =- \frac{1}{160}}

Substitute \mathbf{a =- \frac{1}{160}} and \mathbf{(h,k) =  (40,10)} in \mathbf{(h,k) =  (40,10)}

\mathbf{y = -\frac{1}{160}(x - 40) + 10}

<u>(b) The focus, directrix and the axis of symmetry</u>

The focus of a parabola is:

\mathbf{Focus= (h, k + p)}

Where:

\mathbf{p = \frac{1}{4a}}

So, we have:

\mathbf{p = \frac{1}{4 \times -1/160}}

\mathbf{p = -\frac{160}{4}}

\mathbf{p = -40}

So, we have:

\mathbf{Focus = (40,10-40)}

\mathbf{Focus = (40,-30)}

The axis of symmetry is:

\mathbf{x = h}

So, we have:

\mathbf{x = 40}

The directrix is:

\mathbf{y = k - p}

\mathbf{y = 10 + 40}

\mathbf{y = 50}

Read more about parabolas at:

brainly.com/question/25237745

4 0
3 years ago
Translate this phrase into an algebraic expression.
PtichkaEL [24]

Answer:

n x 2 + 10

Step-by-step explanation:

All you need to do is apply this say to a number like 10 for ex: 10 x 2 + 10

= 20 + 10

= 30

Now do the same with n!

n x 2 + 10 and there is your answer!

3 0
3 years ago
The perimeter of a rectangle is 18 feet, and the area of the rectangle is 20 square feet. What is the width of the rectangle?
bogdanovich [222]

4 ft or 5 ft

i think thats right

7 0
4 years ago
Read 2 more answers
A cashier of a certain company is paid Php 550 per day for an 8-hour shift. Each
Vera_Pavlovna [14]

Answer:

Php 3,230

Step-by-step explanation:

1. calculate x= the number of days worked in a week (5days)

which is,

x= 5 (no of days) x 550 ( total amount of Php received in a day)

x= Php 2,750

2. calculate y= the number of extra hours ( 6 hours )

which is,

y= 6 ( total number of extra hours ) x 80 ( because extra hours is paid at the amount of Php 80 )

y= Php 480

3. Add x and y to get the final answer

which is,

Php 2,750 + Php 480 = Php 3,230

3 0
3 years ago
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