When a baby Giraffe was born it weight 150 Pounds over the next 5 years it gained Equal amounts of weight each year. The Giraffe now weight 675 pounds. How much was the weight gain per year?

Answer:

(a) y intercept is approximately 4.3

(b) [tex]y = 1.5x+4.5[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where [tex]x =0[/tex]

From the attached graph; By observation

[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (9,18)[/tex]

[tex](x_2,y_2) = (8,16.5)[/tex]

So:

[tex]m = \frac{16.5- 18}{8 - 9}[/tex]

[tex]m = \frac{-1.5}{- 1}[/tex]

[tex]m = 1.5[/tex]

The equation is then calculated using:

[tex]y =m(x - x_1) + y_1[/tex]

Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]

[tex]y = 1.5(x - 9) + 18[/tex]

[tex]y = 1.5x - 9*1.5 + 18[/tex]

[tex]y = 1.5x - 13.5 + 18[/tex]

[tex]y = 1.5x+4.5[/tex]

Answer:

1) the angles are supplementary because they sum up to 180 degrees

2) the two angles are same-side interior angles

3) 3x + 10 + 3x - 28 = 180

4) => 6x = 198 => x = 33

Answer:

33 messy

Step-by-step explanation:

Answer:

96 ft²

Step-by-step explanation:

Area of triangle + area of square

Area of triangle = (base × height)/2

= 120/2=60

Area of square = 6 × 6=36

60 + 36= 96

Answer:

[tex]\sqrt{73}[/tex] units (or about 8.5 units, rounding to the nearest tenth)  

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (9,0) and (6,-8) into the formula and simplify:

[tex]d= \sqrt{(9-6)^2+(0+8)^2} \\d = \sqrt{(3)^2+(8)^2}\\d = \sqrt{9+64} \\d = \sqrt{73}[/tex]

So, as an exact answer, the distance is [tex]\sqrt{73}[/tex] units.

To find the decimal approximation of that, put that value into a calculator. So, rounding to the nearest tenth, [tex]\sqrt{73}[/tex] is about 8.5 units.

Answer:

[tex] \large \boxed{y = - \frac{2}{3} x + 2}[/tex]

Step-by-step explanation:

both slopes multiply each others must equal to -1 for perpendicular.

[tex] \large{m_1m_2 = - 1}[/tex]

Let m1 = 3/2

[tex] \large{ \frac{3}{2} m_2 = - 1} \\ \large{3m_2 = - 2} \\ \large{m_2 = - \frac{2}{3} }[/tex]

Therefore -2/3 is perpendicular to 3/2. Because the line passes through (6,-2)

[tex] \large{y - y_1 = m(x - x_1)}[/tex]

Given (x1, y1) = ordered pair

Therefore (x1, y1) = (6,-2)

and m = - 2/3

[tex] \large{y + 2 = - \frac{2}{3} (x - 6)}[/tex]

Write in slope-intercept form.

[tex] \large{y = - \frac{2}{3} x + 4 - 2} \\ \large{y = - \frac{2}{3}x + 2}[/tex]

Answer:

$6,800

Step-by-step explanation:

The interest earn after 5 years will be $6800.

It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.

We have to find out the interest earn.

What do you mean by interest ?

Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.

As per the question ;

Investment made by Huang = $720 for five years

At end of five years , account balance = $50000.

So ;

Five years = 60 months

and the investment is an annuity every month for five years.

If Huang invests $720 every month for 5 years then total investment is ;

= $720 × 60

= $43200

And account balance at end of 5 years = $ 50000

So ;

Interest earn will be ;

= $50000 - $43200

= $6800

Thus , the interest earn after 5 years will be $6800.

To learn more about algebra click here ;

brainly.com/question/22516053

#SPJ2

Answer:

a) no

b) yes

c) yes

d) no

Step-by-step explanation:

Answer:

(6,1) is the correct answer

Answer: (-2,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula is P= a+b+c+d

a=base

b=base

c=side

d=side

Please search perimeter of a trapezoid.  It will provide the answer.

Answer:

Perimeter = 19.77 units

Step-by-step explanation:

Perimeter = AB + BC + CD + AD

BC = 5

AD = 8

AB² = 2² + 3² = 4 + 9 = 13

AB = √13 = 3.61

CD² = 1² + 3²  = 1 + 9 = 10

CD = √10 = 3.16

Perimeter = 3.61 + 5 + 3.16 + 8 = 19.77

Answer:

a

Step-by-step explanation:

edge 202011

Answer:

$22.5.

Step-by-step explanation:

The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,

                              y = (25 - x)(100 + 5x)

Simplifying,

                             y = 2500 + 25x - 5x²

We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.

                            dy/dx = 0 = 25 - 10x

Answer:

detail attached

Step-by-step explanation:

I think it asks you to match the corresponding base and height

The area of a circle with a radius of r is [tex]pi r^2[/tex]

Answer:

the answer is 228 so b

Step-by-step explanation:

i foot has 12 inches so you multiply 12 and 19 and then you get 228

hope this helped

can i get brainliest

Step-by-step explanation:

The surface area increases by 100

if x y and z are side lengths and it is a rectangle.

Then finding the surface area would normally be 2xy+2yz+2xz

But then increasing each side length by a factor of 10 means multiplying it together

2x(10)y(10)+2y(10)z(10)+2x(10)z(10)

200xy+200yz+200xz and that is 100 times greater than the normal surface area.

Volume:

(x)(y)(z)=normal volume

x(10)y(10)z(10)=increased value

1000xyz=new volume

that is 1000 times greater than the previous volume

Hope that helps :)

Answer:

13

Step-by-step explanation:

It is a quadratic equation meaning it has 2 factors and since one of it has root -5, the first factor is (n + 5),

So, we have (n + 5)(n + a) = n^2 + an + 5n + 5a

Thus, by comparison,

n^2 + (5 + a)n + 5a = n^2 - 8n - 65 = 0

5 + a = -8

5a = -65

a = -13

Thus, the other factor is (n -13) and root is 13

Answer:

25

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF),

25

Answer:

around 21-8 so the equation would look like this (21-8)-6=7

Step-by-step explanation:

you do this because if u put the parentheses around 8-6 you would get 21- (8-6)= 19 because 21 - 2 = 19 so you have to put them around 21-8 to get the right answer

Answer:

z = -0.816

Step-by-step explanation:

z = (x-μ)/σ

z = (4-6)/2.45

z = -0.816

Answer: x<7/12

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

to isolate 'x', subtract 1/4 from 5/6

you can use a common denominator of 12

1/4 = 3/12

5/6 = 10/12

x < 10/12 - 3/12

x < 7/12

Answer:

y = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

57552232

Step-by-step explanation:

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

[tex]a_{n} = a_0 + (n-1)d[/tex]

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

[tex]S_{n} = \frac{n(a_1+a_n)}{2}[/tex]

ai = ai-1 + 6

This means that [tex]d = 6[/tex]

In this question:

Sum of the first 800 terms, so [tex]n = 800[/tex]

First term is -53, so [tex]a_1 = -53[/tex]

The 880th term is:

[tex]a_{880} = -53 + (880-1)*6 = 5221[/tex]

Sum

[tex]S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920[/tex]

The sum of the first 880 terms in the sequence is 2,273,920.

Answer:

Step-by-step explanation:

Using the comparison, substitution, and elimination method, the answer is:(x,y)=(3,-2)

When rewriting the equation the answer is:

3x+y=7

2x-y=8

Answer:

4/x = [tex]\frac{\pi }{6}[/tex], 5 [tex]\frac{\pi }{6}[/tex]

Step-by-step explanation:

Sorry if I am wrong

The average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].

The average Rate of Change of the function f(x) can be calculated as;

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]

The given function is f(x) = 2sin(1/2)x on the interval [0, π]

Here a = 0

b = π

f(a) = 2sin(1/2)a

f(0) = 0

f(b) = 2sin(1/2)π = 2

Step 2: Find Average

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\f(x) = \dfrac{2- 0}{\pi }\\\\f(x) = \dfrac{2}{\pi }\\[/tex]

Therefore, the average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].

Learn more about average rate;

https://brainly.com/question/20784578

#SPJ2