Using it's formula, it is found that the population density of the penguin population was of 134.9 penguins per square acre.
What is the formula for population density?It is given by the population divided by the area.
In this problem:
The population is of 6342 penguins.The area is of 47 square acres.Hence:
D = 6342/47 = 134.9 penguins per acre.
More can be learned about population density at https://brainly.com/question/26148357
#SPJ1
A square pyramid is 6.3 in by 4 in by 4 in what is the surface area of the pyramid
Answer:
32.2 square feet
The top of a building is 65 meters away from a spot located 16 meters away from the foot of the building what is the height of the building
Answer:
81
Step-by-step explanation:
65 meters plus the 16 is 81
Answer:
Step-by-step explanation:
AB represent the building. C represents the spot
The building forms right angle with the ground.
BC will be the hypotenuse and AB, AC are the legs
Use Pythagorean theorem,
AB² + AC² = BC²
AB² + 16² = 65²
AB² + 256 = 4225
AB² = 4225 - 256
= 3969
[tex]AB = \sqrt{3969} =\sqrt{63*63}[/tex]
AB = 63 m
height of the building = 63 m
what is the name of the shape
Answer:
triangular prism
Step-by-step explanation:
Have a great day!
Question 4 of 10
What is the probability that a data value in a normal distribution is between a
z-score of -0.28 and a z-score of 0.642 Round your answer to the nearest
tenth of a percent.
O A. 34.9%
O B. 73.3%
O c. 58.1%
O D. 90.9%
SUBIRI
PLS I really need this a have 40 questions due tomorrow :( (please help anyone) 16 points
BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTTTTtt
Using the tree diagram below, what is the probability of getting tails and an even number?
hi the awnser us defiantly going to be that I 56
Step-by-step explanation:
edge
Can someone step by step turn 3y-9x=-81 into slope-intercept form!???
To turn something into the slope-intercept form
⇒ must know the slope-intercept form ⇒ [tex]y = mx +b[/tex]
m: the value of the slopeb: y-interceptTo convert our current form into slope-intercept form
⇒ must solve for 'y'
⇒ (in other words) move everything to one side and 'y' by itself on the
other
[tex]3y - 9x = -81\\3y =9x-81\\y = 3x - 27[/tex]
*purely extra information (not necessary for final answer)
slope is 3y-intercept is -27Slope-intercept form: y = 3x - 27
Hope that helps!
Point P is located at (4, 6) on a coordinate plane. Point P will be reflected over the x-
axis. What will be the coordinates of the image of point P? What transformation was
performed on the given figure
1. (8,4)
2. (4-6)
3. (4,28)
4. (24,4)
Answer:
2.
Step-by-step explanation:
it's the reciprocal
so it's gonna reflect
Manuel works out at the gym 2 days each week for 3/4 hour each day
how many hours does manuel work out each week?
2 x 3/4 =
Answer:
1.5, so an hour and thirty minutes
Step-by-step explanation:
Simplify 3/4 as 0.75. 0.75 times 2 is 1.5.
7/2 inches by 3/2 inches?
Answer:
5.25 inches or [tex]5 \frac{1}{4}[/tex] inches
Step-by-step explanation:
I believe that the question is what do they multiply to..? If so, we start by making them both in decimal form:
7 / 2 = 3.5
3 / 2 = 1.5
Now, we multiply:
3.5 * 1.5 = 5.25
If you want fraction form, we can turn .25 to 1/4.
Fraction form: [tex]5 \frac{1}{4}[/tex]
At the beginning of the year, Mrs. Wilkinson's class had 19 packages of colored paper. So far, the class has used 401 pieces of colored paper.
If each package of colored paper contained 75 pieces, how many pieces of colored paper does the class have left?
I need help
Answer:
1024 pages left
Step-by-step explanation:
19 pack * 75 page/pack - 401 page =
Is Figure B a scale copy of Figure A?
Figure B
Figure A
Answer:
yes, if this is the answer you're looking for
Step-by-step explanation:
Yes. The scale factor is 1/2 or Divide by 2
WILL GIVE BRAINLIEST!!!
Solve 3(2x - 3) = 15. Explain ALL steps.
Answer:
x=4
Step-by-step explanation:
distributive property goes first.
you get 6x-9=15
add 9 on both sides so 9 cancells out on the left side.
you get 6x=24
divide by 6 and you get x=4
I am greater than -4 and less than 12. I am a multiple of 10. What number am I?
Answer:
I believe it is 10!
Step-by-step explanation:
The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 and so on.
The only multiple between -4 and 12 is 10!
Hope this helps!!!!
The shorter leg of a right triangle has a measure of x + 5. The longer leg is one less than three times the length of the shorter leg. The hypotenuse is thirteen more than two times the shorter leg. The area of the triangle, A, is 2.5 times the magnitude of the perimeter.
Create a system of equations to model the situation above. Determine if there are any solutions, and, if possible, whether or not they are viable.
How many total possible solutions of the form (x, A) are there for this situation?
How many total viable solutions of the form (x, A) are there for this situation?
Answer:
Given:
[tex]\textsf{Shorter leg}=(x+5)[/tex][tex]\textsf{Longer leg}=3(x+5)-1[/tex][tex]\textsf{Hypotenuse}=2(x+5)+13[/tex][tex]\sf A=2.5P\quad \textsf{(where A is area and P is perimeter)}[/tex][tex]\begin{aligned} \textsf{Perimeter} & =\textsf{shorter leg + longer leg + hypotenuse}\\ & = (x+5)+[3(x+5)-1]+[2(x+5)+13]\\ & = x+5+3x+15-1+2x+10+13\\ & = 6x+42\end{aligned}[/tex]
[tex]\begin{aligned} \textsf{Area} & =\dfrac12\textsf{(shorter leg)(longer leg)}\\ & =\dfrac12(x+5)[3(x+5)-1]}\\ & =\dfrac12(x+5)(3x+14)\\ & = \dfrac12(3x^2+29x+70)\\ & = \dfrac32x^2+\dfrac{29}{2}x+35 \end{aligned}[/tex]
[tex]\begin{aligned} \textsf{Area} & =2.5 \sf (Perimeter)\\ \implies \dfrac32x^2+\dfrac{29}{2}x+35 & =\dfrac52(6x+42)\\ 3x^2+29x+70 & =5(6x+42)\\ 3x^2+29x+70 & =30x+210\\ 3x^2 -x-140 & =0\\ 3x^2-21x+20x-140 & =0\\ 3x(x-7)+20(x-7) &=0\\ (x-7)(3x+20)& =0\end{aligned}[/tex]
Therefore:
[tex](x-7)=0 \implies x=7[/tex]
[tex](3x+20)=0 \implies x=-\dfrac{20}{3}[/tex]
[tex]x=-\dfrac{20}{3}[/tex] is not a viable solution as when inputting this into the formula for the shorter leg, it gives a negative value:
[tex]\textsf{Shorter leg}=-\dfrac{20}{3}+5=-\dfrac53[/tex]
As distance cannot be negative, this is not a viable solution.
When x = 7:
[tex]\textsf{Shorter leg}=7+5=12[/tex]
[tex]\textsf{Longer leg}=3(7+5)-1=35[/tex]
[tex]\textsf{Hypotenuse}=2(x+5)+13=37[/tex]
[tex]\textsf{Perimeter}=6(7)+42=84[/tex]
[tex]\textsf{Area} & =\dfrac32(7)^2+\dfrac{29}{2}(7)+35=210[/tex]
Therefore, there is one viable solution. This solution in the form (x, A) is (7, 210)
A right triangle has leg lengths of 9 units and 12 units. Write an equation that can be
used to determine the length of the hypotenuse, c .
The Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
a and b are the two legs in a right trianglec is the hypotenuse (the longest side of a right triangle; opposite the 90° angle*keep in mind that this theorem applies only to right trianglesSolving the QuestionWe're given:
Legs = 9 units and 12 unitsHypotenuse = cPlug these measurements into the Pythagorean theorem:
[tex]a^2+b^2=c^2\\9^2+12^2=c^2[/tex]
⇒ Combine like terms:
[tex]81+144=c^2\\c^2=225[/tex]
Answer[tex]c^2=225[/tex]
Jean estimates that her friend completes a new level of a video game on the first try 20% of the time. She conducts a simulation to predict how many times out of 80 her friend would complete a new level on the first try. Jean uses a random number generator. Every digit that is 8 or 9 represents completing the level. Examine the table.
The probability of the friend completing the new level in her first try is 22.5%
What is probability?This is a concept that is used to talk about the likelihood or the chances of an event occuring.
For the digit 8, the frequency is 7
For the digit 9, the frequency is 11
The total number of frequencies is given as
10 + 9 + 6+ 7 + 8 + 12 + 4 + 6 + 7 + 11 = 80
7 + 11 = 18
Probability = 18/80
= 0.225 x 100
= 22.5%
Read more on probability here: https://brainly.com/question/251701
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
y= 22 + 3
y = -3.2 + 3
2=
y =
y
Answer:
Step-by-step explanation:
y=2x+3
y=-3x+3
**This is what's on the image.**
You need to aline the two together.
2x+3 = -3x+3
Add 3x both sides
3x+2x+3=3
5x+3=3
Now subtract 3 from both sides
5x=3-3
x= 0
This should be a vertical line from (0,0) to above since there is no slope you should have a straight line that is vertical.
The sum of two numbers is 122. The difference of the first number and twice the second number is 23. Find the two numbers.
Answer:
One is 89 , the other is 33.
Step-by-step explanation:
Set up a system of 2 equations:
x + y = 122
x - 2y = 23 Subtracting:
0 + 3y = 99
y = 33.
So:
x + 33 = 122
x = 122 -33 = 89.
Answer:
first number= 89 and second number= 33
Step-by-step explanation:
here, let the first number be X and the second number be y,then
From the question,
x + y = 122 ---- eq i
x -2y = 23 ----- eq ii
From substitution method,
From eq i,
x + y = 122
or, x =122 - y
Now, putting the vale of x in eq ii,we get,
122 -y -2y = 23
or, -3y = 23-122
or, -3y = -99 (cut minus sign in both sides)
or, y=99/3
or, y = 33
Again, putting the value of y in eq i,we get,
x + 33 = 122
or, x= 122-33
or, x=89
Help asap!!! NO LINKS PLS!!
18
Solution:First, evaluate 2^3, which equals 8.Next, evaluate 4^2, which equals 16.This is the simplified expression:3/4(8+16)3/4(24)Multiply:18Hope it helps.
Do comment if you have any query.
The equation y = 8x 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. use this information to describe how to draw the line on a graph.
Answer:
Use points (0,12) and (1,20) on graphing paper or a program to find final answer.
Step-by-step explanation:
In the problem, I was unable to understand the equation so I am presuming the equation actually means y=8x+12
Whenever you graph a Linear Function you always need two points. The first point is always easy to acquire.
You can plug in any value for x, which will be your x cordinate and the output (solution) of the equation will be you y cordinate.
I'm plugging in 0 for X first.
y=8x+12
y=8(0) +12
y=12
We have our first point as (0,12)
Now you can plug in any other number for X other then Zero.
I choose 1 this time for X.
y=8x+12
y=8(1)+12
y=8+12
y=20
We now have our second point (1,20). Two points will be enough to graph this graph, you can graph these two points and then draw a line if on paper or use an application and get the line that way.
Answer:
Use the rise/run strategy to draw the line. Start at the y-intercept (0, 12), and count 8 up and 1 to the right to the point (1, 20). Then, draw a line through the points. Test the point (3,36) in the equation y = 8x + 12 to verify that the line is correct.
Step-by-step explanation:
got it right
(WILL MARK BRAINLIST)
Write an inequality to represent the graph.
у
-5
4
3
(0, 2)
2 1
x
x
-5 -4 -3 -2 -1 0
-1
2
4 5 6 7 8 9 10
(4,-1)
-2
-3
-4
-51
-6
-7
-8
-9
-Previous Question
Question 1 (Answered)
A beach toy in the shape of a pyramid has a rectangular base with dimensions of 4 inches by 12 inches. The height of the rectangular pyramid is 10 inches.
How many cubic inches of sand is needed to fill the beach toy?
Enter your answer in the box.
Question 1 options:
The amount of sand needed = volume of rectangular pyramid = 160 cubic inches of sand.
What is the Volume of a Rectangular Pyramid?Volume of rectangular pyramid = 1/3(base area × height of pyramid)
Given the following:
Base area of the pyramid = 4 in. × 12 in. = 48 in.²Height = 10 in.Amount of sand needed to fill each beach toy = Volume of rectangular pyramid = 1/3(48 × 10) = 160 cubic inches of sand.
Learn more about volume of rectangular pyramid on:
https://brainly.com/question/1153556
Super Sandwiches offers 4 kinds of breads, 3 kinds of meats, 5 cheeses, and 7 dressings for a sandwich. How many possible combinations would there be for making a sandwich
Answer:
19
Step-by-step explanation:
Answer:
420
Step-by-step explanation:
answers needed asap, assignment is due 29, april 2022
Answer:
The answer is 3
Step-by-step explanation:
Answer:
The unit rate would be 3 dollars per pound!
a fishing tackle box is 13 inches long 6 inches wide and 2 1/2 inches high. what is the volume of the tackle box
Answer:
195 cubic inches
Step-by-step explanation:
A fishing tackle box is 13 inches long, 6 inches wide, and inches high. What is the volume of the tackle box? SOLUTION: The volume of the tackle box is 195 cubic inches.
a dozen oranges cost 12 pesos so how much do 60 oranges cost
Given the following graph, define a) the vertex, b) the intercepts, c) the axis of symmetry, and the sign of the lead coefficient.
Answer:
Option D is correct
[tex]Slope[/tex] [tex]of[/tex] [tex]AC=Slope[/tex] [tex]of[/tex] [tex]DF[/tex]
Step-by-step explanation:
Given:
1.
ΔABC and ΔDEF are similar
Property of similar states that corresponding sides are in proportion.
2.
[tex]\frac{BC}{EF}=\frac{AB}{DE}[/tex] [By property of similar triangles]
Property of proportions allows you to cross multiply the equation.
then;
3.
[tex]\frac{AB}{BC}=\frac{DE}{EF}[/tex] [Property of proportion]
Definition of slope: Slope is described as the steepness and direction of line.
then by definition of slope;
4.
[tex]Slope[/tex] [tex]of[/tex] [tex]AC=\frac{BC}{AB}[/tex]
5.
[tex]Slope[/tex] [tex]of[/tex] [tex]DF=\frac{EF}{DE}[/tex]
6.
Substitution property of equality states that:
If a = b then a can be substituted in place of b in any equation or vice-versa.
then;
[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]
Therefore, the missing step in 6 we get,
[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]
A fabric company can produce 10,200 yards of fabric per year currently. The company's goal is to increase the amount of
fabric it can produce by 450 yards each year. If the company meets its goal, how many total yards of fabric will it have
produced after 9 years?