Convert to standard form: y=-7x/2-3

The function h(t)=6+3ln(t+1) is a logarithmic function

The height of the tree will exceed 18 feet after 53.6 years

The function is given as:

h(t)=6+3ln(t+1)

When the height is 18 feet, we have:

6+3ln(t+1) = 18

Subtract 6 from both sides

3ln(t+1) = 12

Divide both sides by 3

ln(t+1) = 4

Take the exponent of both sides

t + 1 = e^4

Evaluate the exponent

t + 1 = 54.6

Subtract 1 from both sides

t = 53.6

This means that the height of the tree will exceed 18 feet after 53.6 years

Read more about logarithmic functions at:

https://brainly.com/question/25953978

Answer:

225 men

This conversion leads to the answer:

Answer: A, D, F

Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000

G: 10

Answer:

I think it is 3,478 if you need it to be Simplifyed

Step-by-step explanation:

hope this helps if not please let me know

Step-by-step explanation:

[tex]the \: length \: of \: the \: ladder \: becomes \: the \: hypotenuse \: [/tex]

[tex]the \: base \: becomes \\ = \sin( \alpha ) \times hypotenuse \\ = \sin(12) \times 15 \\ = 3.119ft[/tex]

Answer: 5.7s

Step-by-step explanation:

We are explicitly given the final velocity of 58.8m/s, and implicitly given the acceleration of 9.8m/s^2 due to gravity. We are also implicitly given the initial velocity of the pebble. The pebble was not thrown off the cliff, it simply fell off the cliff. Therefore the initial velocity is 0m/s. Using the first kinematic equation, you get:

[tex]v_f=v_i+at[/tex]

[tex]58.8=0+(9.8)t[/tex]

[tex]58.8=9.8t[/tex]

[tex]t=5.7s[/tex]

My math teacher did it the same way so I would go with your teacher's way

Answer:

31.6m

Step-by-step explanation:

First, find area of the vessel [ (πr2h)/3 ]

Radius = 5.2/2= 2.6

Using Pythagorean theorem, find the height of the cone:

[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38

Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] =  56.88 [tex]cm^{3}[/tex]

Do cross multiplication using ratios:

1.8      =    1

56.88 =   [tex]x[/tex]

[tex]\frac{56.88}{1.8}[/tex]= 31.6

let's keep in mind that the shapes are both congruent, and let's also notice the letters sequence, KLMN is congruent with with its corresponding sides and angles at PQRS, so the PS side will be corresponding with the NK side, and the angle at M is the same as the angle at R, Check the picture below.

Answer:

-2

Step-by-step explanation:

-4x^3 = 32

x^3 = -8

take the cube root of both sides.

x = -2

[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]

Answer:

purple

Step-by-step explanation:

[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]

$60

hope it helps...!!!

Answer:

Formula of Mean= Efx/n

Formula of Median=n+1/2

I think it will help you

Answer:

He worked about 5.5 hours

Step-by-step explanation:

Im pretty sure

Answer:

7.5  hours

Step-by-step explanation:

h=hours

30+8h +12-8 =94

8h+34=94

8h =60

h= 7.5

The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

From the question, we are to determine the point-slope form of the given line

The point-slope form of an equation of a straight line is written as

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line

From the given information,

m = -3

And in the diagram,

One of the points on the line is (2, -2)

Therefore, we can write that

x₁ = 2 and y₁ = -2

Substituting into the point-slope form of an equation of a line,

We get

y - (-2) = -3(x - 2)

This becomes

y + 2 = -3(x - 2)

Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231

The diagram for the question is attached below.

Answer:

14.424375 cubed feet (can round)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

First, find the volume of the rectangular prism which is 4 x 2 x 2 = 16 cubed feet.

Next, find the volume of the cylinder, and use this formula:

πrr (area of one circle) x the height

The r = the radius, but we only have the diameter. We need to divide the diameter by 2 to find the radius. (7 divided by 2 = 3.5 feet)

Now, we can plug all of the numbers in the previous formula:

π(3.5)(3.5) x the height (6 feet) = 230. 79 cubed feet

For the final step, we need to do 230. 79 divided by 16 to find how many rectangular prisms can fit in the cylinder.

So, the answer is 14.424375 cubed feet. (Add the label of "squared feet" and round the answer if you like!)

Answer:

In the first 5 years, 138,750$ worth of rent will already have been paid.

Step-by-step explanation:

Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.

Answer:

The graph is shown below

Step-by-step explanation:

So, we can see that it is a linear equation, and the slope is 1/3x. Simply graph a line that has a slope of 1/3. Then, Becuase it shows y is greater than, we would shade above becuase y is greater than. But becuase it is not or equal to, we would create the line with dashes.

         ⇒ Perimeter = 10 + 10 + 10 + 10 = 40 ft

        To understand the slant height, look at the diagram I attached

       Slant height: 13 ft

         ⇒ Lateral Area = 4 * (Area of Triangle)

                                    = [tex]4*(\frac{1}{2} *10 * 13) = 4 * 5* 13 = 260ft^2[/tex]

                                    = 260 ft^2

       Area of Base = 10 * 10 = 100ft^2

        Surface Area = Area of Base + Lateral Area

                               = 100 + 260 = 360 ft^2

Hope that helps!

Answer:

B. 12 ÷ 13

Explanation:

Answer: 4.1

Step-by-step explanation:

Answer:

1. B = 6 m²

2. h = 2 m

3. V = 12 m³

Step-by-step explanation:

the base is a right triangle

Then

[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]

____________

The height of the prism is the length of the segment that join the base to its opposite face

Then

h = 2m (given)

___________

The volume of the prism :

[tex]V=B\times h=6\times 2=12 m^3[/tex]

Answer: 90$

Step-by-step explanation:

Answer:

a no. is the answer

Step-by-step explanation:

b=a+13

or, 14 = 1+13

or, 14= 14 {True}

Answer:

b=a+13

b=1+13

b=14

again,

b=a+13

b=6+13

b=19

so the relationship between a & b is b=a+13

[tex]y = |x + 2| [/tex]

____________________________________________

As you know all kind of vertical transfers are along the y-axis thus :

[tex]y = |x + 2| + 1[/tex]

____________________________________________

[tex]y = | x + 2| - 1[/tex]

_____________________________________________

Working with the operation along the x-axis are all opposite so when the question say transfer the graph on unit to left it means to decrease all x values by one unit and we have to do the inverse work with mean to increase all the x values by one unit :

[tex]y = |(x +1 ) + 2| [/tex]

[tex]y = |x + 3| [/tex]

_____________________________________________

[tex]y = |(x - 1) + 2| [/tex]

[tex]y = |x + 1| [/tex]

And we're done...