A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?

Answer:

Step-by-step explanation:

Even I need help with that

Answer:

$365

Step-by-step explanation:

did the math

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which:

The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:

[tex]x(t) = r\cos{(t)} + x_0[/tex]

[tex]y(t) = r\sin{(t)} + y_0[/tex]

In this question:

[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]

This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Answer:

B: y= 3(1/3)^x

Step-by-step explanation:

I graphed it on Desmos

Answer:

neither

gfhhhufkufjkg

Answer:

a) V = 35.1 in.^3

b) V = 288 pi in.^3

c) h = 2.7 in.

Step-by-step explanation:

a)

radius of base = 2 in.

height = 8 in.

volume of cone = (1/3)(pi)(r^2)h

V = (1/3)(pi)(2 in.)^2(8 in.)

V = 35.1 in.^3

You are correct.

b)

You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.

radius of base = 6 in.

height = 24 in.

volume of cylinder = (pi)(r^2)h

V = (1/3)(pi)(6 in.)^2(24 in.)

V = 288 pi in.^3

c)

volume = 288 pi in.^3

radius = 18 in.

288 pi in.^3 = (1/3)(pi)(18 in)^2 h

288 in. = (1/3)(324)h

288 in. = 108h

h = 2.666 in.

h = 2.7 in.

Answer:

40

Step-by-step explanation:

26 is 65% of 40

Answer:

D - 33.75

Step-by-step explanation:

If the rectangles are similar, then you can use this cheat:

Width:

9/4 = 2.25

2.25 is the scale factor between the two rectangles.

Using the new-found scale factor, you can do this:

15 x 2.25 = 33.75

This means the length on the second rectangle is 33.75 inches long.

Hoping this helps you! :)

Answer:3kg of small bag costs £10.20 while 3kg of the medium bag costs £11.40. Hence, the bag with better value which is the cheapest is a 3kg of the big bag which costs £3.9

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Slopes of a perpendicular line are the opposite reciprocal.

So, the opposite of 1/3 is -1/3.

Then the reciprocal of -1/3 is -3 (since -3 is -3/1).

Answer:

o . ooo 2 and dr 45009.7 ok byy

Answer:

Option A is correct answer..

Pls sandhya se baat karado yaar ,

nhi to mai mar jaunga .

Pls sandhya baat karlo na yaar .

ʜᴀᴠᴇ ᴀ ɢᴏᴏᴅ ᴅᴀʏ

❥︎ ʏᴜɢᴀʟᵇᵒˢˢ!

Answer:

its A

Step-by-step explanation:

Answer:

Carter scored 21 points

Step-by-step explanation:

If Denise scored 3 fewer points, then you would add three to 18 to get the number of points that Carter scored.

18 + 3 = 21

Answer:

Step-by-step explanation:

(x+1)(x+6)/(x+1) = x + 6

(x-19)(x+2)/(x+2)= x - 19

(x-8)(x-2)/(x-2)= x - 8

Answer:

x+6 x-19 x-8 from top to bottom

Step-by-step explanation:

Hope this helps give brainliest if you can

Answer:

X=-2

Y=0

Step-by-step explanation:

X+y=-2 = x=-2-y

3x+4y=-6

3(-2-y)+4y=-6

-6-3y+4y=-6

y=0

x+3(0)=-2

x=-2

Answer:

[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]

Step-by-step explanation:

To solve by substitution we must first isolate 1 variable in an equation.

Let's use the first equation.

[tex]x+3y= -2[/tex]

Subtract 3y from both sides to isolate the variable x.

[tex]x+3y-3y= -2 -3y[/tex]

[tex]x= -2 -3y[/tex]

Now we can substitute the expression (-2-3y) in for x in the second equation.

[tex]3x+4y= -6[/tex]

[tex]3(-2-3y)+4y= -6[/tex]

Distribute the 3. Multiply each term inside the parentheses by 3.

[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]

Combine the like terms on the left side.

[tex]-6-5y= -6[/tex]

Add 6 to both sides to isolate the variable.

[tex]-6+6-5y=-6+6\\-5y=0[/tex]

Divide both sides by -5.

[tex]-5y/-5=0/-5 \\y=0[/tex]

Now we know that y is equal to 0 and can substitute it into the first equation and find x.

[tex]x+3(0)=-2[/tex]

[tex]x+0=-2 \\x= -2[/tex]

x is equal to -2 and y is equal to 0.

Answer:

Step-by-step explanation:

Step-by-step explanation:

6 customers per hour [tex]=1[tex] customer per 10 minutes

[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)

Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]

Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.

Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]

[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]

a)[tex] \begin{array}{c}

P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\

P(X<12)=0.699 \end{array}[/tex]

[tex]\begin{aligned}

&\begin{array}{c}

P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\

P(X>20)=0.1353

\end{array}\\[/tex]

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

Answer:

150:30

Step-by-step explanation:

It's essentially saying 5:1, 5 girls to one boy.

so with this in mind.

150:x

150/5

30

therefore

150:30

Answer:

30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )

Step-by-step explanation:

1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.

Thats it lol.

Btw can I have brainliest if I got it correct please?

Answer:

X is greater than negative 53

Answer:

700,000

Step-by-step explanation:

Answer:

87.5

Edited: Yea should be 56, misread it LOL.

Appoligise to that silly mistake

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

hope u find this helpfull

Answer:

Step-by-step explanation:

x = 12

the triangle was made smaller (i forget what the term is)

it was made smaller by  [tex]1\frac{1}{3}[/tex]

to find that you divide 24 by its equivalent side on the other triangle which would be 18

24 / 18 =  [tex]1\frac{1}{3}[/tex]

to find what x is equal to you have to find the equivalent side on the other triangle. this would be 16. since the triangle with 16 is bigger the equation is:

16 / [tex]1\frac{1}{3}[/tex] = 12

so x = 12

Answer:

I might be wrong but since ur in a rush: 173

Step-by-step explanation:

Answer:

287.25 miles in 5.75 hours

Step-by-step explanation:

so he was first driving at 48mph because 168/3.5=48

5 miles per hour faster than that is 53mph

53*2.25=119.25

then we add 119.25 and 168

Answer:

the coordinates of b if it is reflected over the x-axis (-2,5)

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

Answer:

-9 = Yes

8 = Yes

-8 = Yes

9 = No

Answer:

3

Step-by-step explanation:

the y axis

Answer:

B. 12 in.

Step-by-step explanation:

Diameter = 5 in.

Diagonal = 13 in.

Apply Pythagorean theorem to find the height of the cylinder.

Thus:

13² - 5² = height²

144 = height²

√144 = height

12 in. = height

Answer:

B. 12 in.

Step-by-step explanation:

Answer:

5a - 8b

Step-by-step explanation:

Mr Davis buys 5 package of a glue stick

= 5a

Mr. Wilson buys 8 packages of b glue sticks

= 8b

Therefore the difference in the total is

5a-8b