A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975.

Answer:

f(3) = 63

Step-by-step explanation:

f(x) = 4^x-1;

Let x =3

f(3) = 4^3 -1

     = 64-1

     =63

Answer:

f(3)=16

Step-by-step explanation:

This question asks us to find f(3). We have to find what f(x), or y is, when x is equal to 3.

f(x)=4^x-1

Substitute 3 in for x.

f(3)=4^3-1

First, subtract what is in the exponents.

f(3)=4^2

4^2 is the same as multiplying 4, 2 times.

4^2=4*4=16

f(3)=16

Answer:

The probability of first landing on a 4: P = 1/4

The probability of second landing on a 4: P = 1/4

Applying the multiplication rule:

=> The probability of landing on a 4 and then landing on a 4:

P = (1/4) x (1/4) = 1/16

Hope this helps!

:)

Answer:

$1193

Step-by-step explanation:

First we need to find the volume of one pedestal, that has a cylindrical part and a cubic part.

The volume of the cylindrical part is:

V1 = pi * r^2 * h

The radius is half the diameter, so r = 8/2 = 4 in. So the volume is:

V1 = pi * 4^2 * 3 = 48pi in3

The volume of the cubic part is:

V2 = side^3 = 8^3 = 512 in3

So the total volume of the pedestal is:

V = V1 + V2 = 512 + 48pi in3

If we want 15 pedestals, we have a total volume of:

15 * V = 15 * (512 + 48pi) = 9941.9467 in3

As each cubic inch costs $0.12, we just need to multiply the volume by the price to find the total cost:

Cost = 9941.9467 * 0.12 = $1193.03

Rounding to the nearest dollar, we have a cost of $1193

Answer:

Rectangle. length x width = area

10x4=40

triangle. base x height / 2 = area

3x4=12/2=6

40+6= a total of 46 square meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

if m is the slope of given line.

Then eq. of parallel line through (-4,-6) is

y+6=m(x+4)

Answer:

y=-6

Step-by-step explanation:

The line shown is a horizontal line through the y-axis and has the equation y=4. A parallel line to it is a line that does not cross it. It will also have the form y=a where a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.

Answer:

P(multiples of 12)=1/25

Step-by-step explanation:

Multiples of 12: 12, 24, 36, 48

That is 4/50=1/25

Answer:

7

Step-by-step

n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer

n+(n+1)+(n+2)+(n+3)=34

4n+6=34

4n=28

n=7 ANSWER: The smallest integer is 7

CHECK:

7+8+9+10=34

34=34

the least of the four consecutive integers is 7.

Let's denote the four consecutive integers as x, x + 1, x + 2, and x + 3.

According to the given information, the sum of these four consecutive integers is 34:

x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 34

Simplifying the equation:

4 x + 6 = 34

Subtracting 6 from both sides:

4 x = 28

Dividing both sides by 4:

x = 7

The four numbers are 7, 8, 9, 10

Therefore, the least of the four consecutive integers is 7.

Learn more about consecutive integers here

https://brainly.com/question/29123756

#SPJ2

Answer:

a.  x = 61 degrees.

Step-by-step explanation:

By the External angle of a Triangle Theorem:

116 = 55 + x

x = 116 - 55

x = 61 degrees.

Answer:

a) 61

Step-by-step explanation:

The classic way to do this is to subtract 116 from 180, then adding that result to 55 and subtracting this second result from 180.

But another way that I have discovered is to subtract 55 from 116. You will get the same answer of 61.

Answer:

91 students passed the test.

Step-by-step explanation:

130 / 10 = 13

13 x 3 = 39

130 - 39 = 91

Answer:

91 students passed the test.

Step-by-step explanation:

We need to find 10% of 130.

130÷10=13

Then we need to make it 30% in order to see the amount of students that failed the test.

13×3=39

Then we need to do 130 - 39 (The whole class- 30%)

130-39=91

Answer:

2 to the power of 3

Step-by-step explanation:

2820

Step-by-step explanation:

Answer:

552.64 cubic centimeters

Step-by-step explanation:

The volume of a cylinder is:

[tex]\pi r^2 h=\\\\3.14 \cdot 4^2 \cdot 11=\\\\3.14 \cdot 176=\\\\552.64[/tex]

Hope this helps!

So the right answer is 552.64cm^3

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

See below

Step-by-step explanation:

Quadratic equations with one solution are:

[tex] (x+2)^2 = 0, \:\: (2x-8)^2 = 0[/tex]

Quadratic equations with two solutions are:

[tex] (2x-11)^2 = 1 [/tex]

Quadratic equations with no solution are:

[tex] (x+2)^2 = - 4, \:\: x^2 + 6 = - 3[/tex]

Answer: EDMENTUM + PLATO

Step-by-step explanation:

Answer:

No, 4% is 620 light bulbs

Step-by-step explanation:

No, because 700 out of 15,500 is 4.5% not 4 %. 4% of 15,500 would be 620 light bulbs  

Answer:

7/13 or 54% or about 0.54

Step-by-step explanation:

Answer:

Step-by-step explanation:

the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.

the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height

v = length x width x height

2700 = (15)(15)h

2700/225 = h

the height is 12

Answer:

Step-by-step explanation:

Given

[tex]\log _{10}\ 50=1.69897[/tex]

and we know that

[tex]\log _a\ a=1[/tex]

therefore

[tex]\Rightarrow \log _{10}\ 10=1[/tex]

and [tex]\Rightarrow \log _{10}\ 100=\log _{10}\ 10^2=2[/tex]

and [tex]50[/tex] lies between [tex]10[/tex] and [tex]100[/tex] . So, its value must lie between [tex]1[/tex] and [tex]2[/tex]

Answer:

A

Step-by-step explanation:

The shape was reflected across the purple line

Answer:

Reflection

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Considering that C is the only decrease it would leave me to believe it is the correct answer.

Answer:

B, 5x - 3 = 12

Step-by-step explanation:

3 less means subtracting, it's going to be -3.

It says 3 less than five times a number, meaning we don't know the number, so we can put it as x.

3 less means your subtracting from something, which would make it 5x - 3.

Finally, they state that it equals 12, making the equation 5x - 3 = 12.

Answer:

Therefore the expression that finds the coterminal angles is:

[tex]coterminal = 126\º \pm 360[/tex]

Step-by-step explanation:

Coterminal angles are angles that finish at the same line. Therefore in order to find the coterminal angles with 126º we need to add or subtract a angle of 360º. So the expressions are:

coterminal angle = 126º + 360º = 486º

coterminal angle = 126º - 360º = -234º

Therefore the expression that finds the coterminal angles is:

[tex]coterminal = 126\º \pm 360[/tex]

Answer:

126° + (720n)°, for any integer n or D on edge :)

Step-by-step explanation:

Because me big brain

Answer:

$56.25

Step-by-step explanation:

We know that Max has just enough money to buy 3 tickets that each cost $18.75, so let's write the expression:

18.75 * 3

We just solve this by multiplication:

18.75 * 3 = $56.25

Max saved $56.25.

Answer:

$56.25

Step-by-step explanation:

His savings were equal to the cost of 3 tickets, therefore

Savings = 3 × 18.75

Savings = 56.25

Answer:

b) 40

Step-by-step explanation:

By angle sum property of a triangle:

[tex] x°+20°+120°=180°\\

x°+140°=180°\\

x°=180°-140°\\

x° = 40°\\

\huge \red {\boxed {\therefore x = 40}} [/tex]

Answer:

B)40°

Step-by-step explanation:

Sum of angles in a triangle =180°

120°+20°+x°=180°

140°+×°=180

Collect like terms

x°=180°-140°

x°=40°

Answer:

c = 2

Step-by-step explanation:

P(x)=x^3-4x^2+3x+c

The polynomial has x - 2 as a factor

Rewriting the polynomial as:

As we see the first 2 terms have (x -2) as a factor, so the third term:

Answer is c= 2

Answer :

9 sides

Explanation:

Step 1

Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

Step 2

Method 2: Since the exterior angle is 140°

The sum of the interior angles = (2n - 4) × right angles.

So 140n =(2n - 4) ×right angles, or we can also say

140n =(2n - 4) × 90

140n = 180n - 360

40n = 360

Divide both sides of the equation by 40

n = 9 sides.

n = 9 sides.Hence the number of sides is 9 sides.

Answer:

180 - 62 - 57 = 61

∠BAD = 180 - 61

∠BAD = 119°

Step-by-step explanation:

Answer:

erm

Step-by-step explanation:

2 5/9

Answer:

2 5/9

Step-by-step explanation:

8-5 4/9=2 5/9

Answer:

7.4

Step-by-step explanation:

Answer:

23/21 liters

Step-by-step explanation:

Celia drank

Before going jogging=2/3

After jogging=3/7

Total amount of water drank by Celia=2/3+3/7

L.C.M of the denominators 3 and 7 is 21

=14+9/21

=23/21

=1 2/21 liters

Answer: 23/21

Step-by-step explanation:

Litre of Water drank before jogging = 2/3

Litre of water drank after jogging = 3/7

The total amount of water drank altogether ;

2/3 + 3/7

The lowest common factor of 3 and 7 = 21

= (14 + 9)/21

= 23/21 litres

= 1 2/21 litres [1 whole number 2/21]