A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 34.

SOMEONE HELP ME WITH THIS RIGHT NOW. please

Answer:

should be 359.18876

Step-by-step explanation:

if you round it to the nearest hundredth it will give you your answer in units

Given:

Consider the given function is:

[tex]P(t)=4000(1.2)^t[/tex]

To find:

a. The type of exponential function (growth or decay).

b. Percentage change in population.

c. Population after 5 years.

Solution:

a. The general exponential function is:

[tex]P(t)=P_0(1+r)^t[/tex]          ...(i)

Where, [tex]P_0[/tex] is the initial population and r is the rate of change in decimal.

If r<0, then the function represents exponential decay and if r>0, then the function represents exponential growth.

We have,

[tex]P(t)=4000(1.2)^t[/tex]

It can be written as:

[tex]P(t)=4000(1+0.2)^t[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]P_0=4000[/tex]

[tex]r=0.2[/tex]

Since r>0, therefore the given function represents exponential growth.

b. From part (a), we have

[tex]r=0.2[/tex]

So, the rate of change in the population is 0.2. Multiply is by 100 to get the percentage change in population.

[tex]r\%=0.2\times 100[/tex]

[tex]r\%=20\%[/tex]

Therefore, the yearly percentage change in population is 20%.

c. We have,

[tex]P(t)=4000(1.2)^t[/tex]

Substitute [tex]t=5[/tex] in the given function to find the population living on the island after 5 years.

[tex]P(5)=4000(1.2)^5[/tex]

[tex]P(5)=4000(2.48832)[/tex]

[tex]P(5)=9953.28[/tex]

[tex]P(5)\approx 9953[/tex]

Therefore, the estimated population living on the island after 5 years is 9953.

Answer:

A = 2π in2

Step-by-step explanation:

See the image I have shared

Answer:

100-89/100=11/100

=0.11

Answer:

can can travel 280 miles

Step-by-step explanation:

2y + 5 = 3y + 2

=> 5 - 2 = 3y - 2y

= 3 = y

Answer:

y = 3

Step-by-step explanation:

2y + 5 = 3y + 2

2y - 3y + 5 = 3y - 3 y + 2                  [ subtract both sides by 3y ]

- y + 5 = 0 + 2                                  [ 3y - 3y = 0 ]

- y + 5 - 5 = 2 - 5                              [ subtract by 5 on  both sides ]

- y + 0 = - 3                                      [ -5 + 5 = 0 ]

  - y = - 3                      

     y = 3                                          [ divide by - 1 on both sides ]            

Answer:

8 feet, 256 ft^2

Step-by-step explanation:

The function of the area can be graphically rapresented with a parabola that opens downwards

in this specific case the vertex is the maximum point of the parabola.

(X) Vertex = -64/-8 = 8 feet

(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2

Answer:

Maximum Width = 8 feet.

Maximum area = 256 ft^2.

Step-by-step explanation:

Part A.

A = -4w^2 + 64w

Finding the derivative:

dA/dw = -8w + 64 = 0  for maxm/minm, so

-8w  = -64

w = 8

The second derivative is -8 so w = 8 gives a maximum.

Part B.

The maximum area = -4(8)^2 + 64*8

= -256 + 512

= 256 ft^2.

the bottom one... i think

Answer:

∠ 1 = 53°, ∠ 2 = 37°

Step-by-step explanation:

let ∠ 2 be x then ∠ 1 = x + 16

Complementary angles sum to 90° , then

x + 16 + x = 90

2x + 16 = 90 ( subtract 16 from both sides )

2x = 74 ( divide both sides by 2 )

x = 37

Then

∠ 2 = 37° and ∠ 1 = 37 + 16 = 53°

Answer:

D

Step-by-step explanation:

YD and TH

TH is in HOT and YD is in DAY

They go from end to the front in the same way

Making a straight line from left to right that are on the same place

Answer:

Solution given:

3(5x+8)

distribute

15x+8*3

15x+24 is a required answer.

Answer:

15x + 24

Step-by-step explanation:

Apply the Distributive Property of Multiplication.  Multiply each of the two terms inside parentheses by 3:

3(5x + 8) = 15x + 24

Answer:

please give me brainliest for quest

Step-by-step explanation:

Answer:

[tex]81[/tex]

Step-by-step explanation:

The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].

Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.

Answer:

Step-by-step explanation:

1- Order in descending order the following polynomial with respect to the

variable n. Then identify the independent term:

[tex]6n^3 + 7n^4 - 2n^2 - 5 + 9n^5[/tex]

The independent term is - 5.  

3- Look at the following polynomial and identify what the terms are

similar:

[tex]- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n[/tex]

The similar terms are + 3m^3 n and - 11 nm^3 and

- 4 m^2 n and 6 m^2 n

Hi there!  

»»————-　★　————-««

I believe your answer is:  

C. (5, –23)

»»————-　★　————-««  

Here’s why:  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

===================================================

Explanation:

Focusing on triangle ACD, we see that AC = 20 is the hypotenuse and AD =  20/2 = 10 is the short leg. The short leg is half that of the hypotenuse when working with 30-60-90 triangles.

Also, for these types of triangles, the long leg is sqrt(3) times that of the short leg. That makes CD = AD*sqrt(3) = 10*sqrt(3)

The opposite sides are the same length, meaning BC = AD and AB = CD.

-----------

The perimeter of rectangle ABCD is

P = AB+BC+CD+AD

P = 10*sqrt(3) + 10 + 10*sqrt(3) + 10

P = 20 + 20*sqrt(3)

P = 54.6410161513776

P = 54.6 cm is the approximate perimeter

Answer:

54.64 cm

Step-by-step explanation:

The perimeter of a rectangle is the total length of all the sides of the rectangle. Hence, we can find the perimeter by adding all four sides of a rectangle. Perimeter of the given rectangle is a + b + a + b.

Length of CD = 17.32 cm from :

[tex] \sin(60) = \frac{cd}{20} \\ then \: x = 17.32 \: cm[/tex]

now CD = BA

Now we must determine length of AD :

[tex] \sin(30) = \frac{ad}{20} \: then \: ad \: = 10 \: cm[/tex]

Now :

perimeter = 17.32 + 17.32 +10+10 = 54.64 cm

Answer:

24-12

Step-by-step explanation:

Answer:

[tex]\displaystyle m = 2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (0, -1)

Point (1, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Step-by-step explanation:

Answer:

3x < 4x < 3x + 8  < 4x + 3 < x² < x² + 6

Step-by-step explanation:

This is because as x → ∞

3x → 3∞ ,

Also, as x → ∞

4x → 4∞ ,

Also, as x → ∞

3x + 8  → 3∞ + 8,

Also, as x → ∞

4x + 3 → 4∞ + 3 ,

Also, as x → ∞

x² → ∞²,

Also, as x → ∞

x² + 6 → ∞² + 6

and 3∞ < 4∞ < 3∞ + 8 < 4∞  + 3 < ∞² < ∞² + 6

Thus as x → ∞

3x < 4x < 3x + 8  < 4x + 3 < x² < x² + 6 in ascending order

Answer:

i am not 100% sure but i think it is

3x < 3x + 8 < 4^x < 4^x + 3 < x^2 < x^2 + 6

Step-by-step explanation:

I just got this because one of the other answers said replace x with infinite.  Their answer would have been wrong because the actual question is supposed to be 4^x and 4^x + 3 which is different than just 4x and 4x + 3. :)

Answer:

Step-by-step explanation:

(-1, 3)

y=3

Answer:

x = 12

Step-by-step explanation:

Leg 1 = 9

Leg 2 = x

Hypotenuse = 15

Using Pythagorean Theorem;

A² + B² = C²

9² + x² = 15²

81 + x² = 225

x² = 225 - 81

x² = 144

x = [tex]\sqrt{144}[/tex]

x = 12

Hope this helps!

Answer:

x ≈ 12

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer: g(f)= 2f - The input is f

h(g)=-4+g - The input is g

f(h)=h-7 - The input is h

Step-by-step explanation:

The matches are:

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

We have to given that,

To Match each function with its input.

h(g) = -4+9

The input is f.

f(h) = h - 7

The input is h.

g(t) = 21

The input is g.

Now, We get;

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

So the matches are:

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

5√2

Step-by-step explanation:

By the Pythagorean theorem,

A² + B² = C²

5² + 5² = C²

25 + 25 = C²

C² = 50

C = √50

C = √(2 • 25)

C = √2 x √25

C = √2 • 5

C = 5√2

Answer:

5[tex]\sqrt{2\\}[/tex]

Step-by-step expla

chọn  tam giác ==> cạnh huyền là đường chéo của hình vuông  ảg

sin(∝)= đối / huyền

⇒huyền= đối /sin(45°)

⇒huyền=  5/ sin(45°)

⇒huyền=  5[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}[/tex]

Answer:

[tex]for~x=3[/tex]

[tex]f(x)=-5[/tex]

[tex]So,f(3)=-5[/tex]