The Hemlock Woolly Adelgid is an insect that has accidentally been released in Eastern U.S. forests from Asia. Since it has no natural enemies in the U.S., it is spreading rapidly. A forester studying the abundance of the insect in southern Vermont wants to determine if it has spread that far north. He randomly selects 200 hemlock trees in a large Vermont forest and finds that 46 of them show signs of damage from this insect. To which of the following groups of trees would it be appropriate to generalize the results of the study?
A. All hemlock trees in southern Vermont
B. All trees in southern Vermont
C. The 200 hemlock trees that were randomly selected
D. All hemlock trees in the U.S.
E. All hemlock trees in the forest from which the 200 trees were selected
Answer: E. All hemlock trees in the forest from which the 200 trees were selected
Step-by-step explanation:
When we generalize data, it needs to be about a sample that is as specific as possible so that the generalization has a better chance of holding true.
The best group of trees to generalize the data on is the trees in the forest where the hemlock trees were found. This is a specific population and has a higher chance of being right because the trees used in research could not have been the only ones suffering.
The sum of two numbers is 36 twice the first number minus the second number is 6 find the numbers
Answer:
14, 22
Step-by-step explanation:
x+y = 36
2×x - y = 6
=> x = 36 - y
=> 2×(36 - y) - y = 6
72 - 2y - y = 6
-3y = -66
3y = 66
y = 22
=> x = 36 - 22 = 14
Hurry please I’ll give you 20 points
The general rule is power of power. It can be represented by (x^m)^n = x^mn.
What is an exponent?
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Now complete the given table:
Problem to First repeated second repeated Power of
simplify multiplication multiplication the form of a^n
(2²)³ 2²×2²×2² 2×2×2×2×2×2 2⁶
(5³)⁴ 5³ × 5³ × 5³ × 5³ 5×5×5×5×5×5×5×5×5×5×5×5 5¹²
(7³)⁴ 7³ × 7³ × 7³ × 7³ 7×7×7×7×7×7×7×7×7×7×7×7 7¹²
((3x)²)³ (3x)²×(3x)²×(3x)² 3x×3x×3x×3x×3x×3x (3x)⁶
(4y²)³ (2y)²×(2y)²×(2y)² 2y×2y×2y×2y×2y×2y (2y)⁶
The general rule is (x^m)^n = x^mn. The name of the rule is power of power.
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A line has a slope of – 1/7 and passes through the point (4,5). What is its equation in point-slope form?
Answer:
y-5=-1/7(x-4)
Step-by-step explanation:
The equation of the line in point-slope form is y-5=-1/7(x-4)
Answer:
y = -1/7 x + 39/7
Step-by-step explanation:
An equation in point slope form is
y = mx+b where m is the slope and b is the y intercept
We are given the slope
y = -1/7 x + b
Substitute in the point for x and y and solve for b
5 = -1/7(4) +b
5 = -4/7 +b
5 + 4/7 = b
5*7/7 + 4/7 = b
35/7 + 4/7 = b
39/7 = b
The equation is
y = -1/7 x + 39/7
Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.
What is the unit rate?A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.
Given, Joyce painted 8 window frames in 5 hours while earning money for college.
Her painting rate in window frames per hour is = 8 /5
Her painting rate in window frames per hour is = 1.6
Her painting rate in hours per window frame is = 5/8
Her painting rate in hours per window frame is = 0.625
therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.
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someone help ASAP!!
Answer:
Pretty sure is 90 degrees
Step-by-step explanation:
Answer:
[tex] {a}^{2} = {100}^{2} - {80}^{2} \\ {a}^{2} = 10000 - 6400 \\ {a}^{2} = 3600 \\ a = \sqrt{3600} = 60mi[/tex]
What is a rational number ?
Answer:
In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1. Therefore, 5 is a rational number
Step-by-step explanation:
If this helps please mark as brainliest
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Dave is adding a new patio to the back of his house. The dimensions of the patio are shown below. If one bag of concrete mix will cover 50 square feet, how many bags of concrete will he need?
Answer:
Hence for a patio with Dimension
Length=12.5 feet
Width=9.5 feet
2.4 bags of concrete mix is needed
Step-by-step explanation:
The question is not complete, there is not attachment showing the dimension of the patio
Say the dimension of the patio is
Length=12.5 feet
Width=9.5 feet
Area= Length* Width
Area= 12.5*9.5
Area= 118.75 square feet
One bag of concrete mix will cover 50 square feet
Hence x bags will cover 118.75 square feet
cross multiply
50x= 118.75*1
x= 118.75/50
x= 2.4 bags
Help!!!!!! ASAP help
Answer:
A
Step-by-step explanation:
Notice that its y-intercept is (0,-5), so it crosses the y-axis at (0,-5)
Then, we notice that it is going doing from [-10,-2] and remains the same from[-2, 10]. Thus, the best choice is A
Please Help ! Will give brainliest!
Answer:
D: I and IV only.
Step-by-step explanation:
We can go through each statement and examine its validity.
I) All congruent triangles are similar.
For congruent triangles, all of its corresponding sides and angles are congruent.
Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.
II) All similar triangles are congruent.
Congruence guarantees similarity, but similarity does not guarantee congruence.
Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.
III) All right triangles are similar.
Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.
IV) All isosceles right triangles are similar.
Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.
However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.
Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.
The correct statements are I and IV.
Solve in simplest form
Answer:
2
Step-by-step explanation:
Bonus: Mr. Rao is planning on making a shed in his backyard (see his plan in the image below). However, local laws require sheds to be at least 15 feet from the property lines. Describe how Mr. Rao should move his shed to comply with the laws. Be specific about the number of feet and the direction (north, south, east, west) that he should move the shed.
Answer:
North 10 feet, and East 5 feet.
Step-by-step explanation:
So we know that North is ^ way. We also know that East is > way.
These are the two directions we must go, since the property line is both South and West of the shed.
The shed is 10ft East of the property line, and we must be 15ft in that direction. So we must go another 5ft East.
Now, the shed is 5ft North of the property line, and we must be 15ft in that direction. So we must go another 10 feet North.
Hope this helps!
What is the solution of 2x^2 3x 5 0?
Answer: The answer is 10x2
Step-by-step explanation:
L) simplify
cos²x - sin²x
Answer:
cos(2x)
Step-by-step explanation:
To simplify the expression cos²x - sin²x, we can use the identity cos²x - sin²x = cos(2x).
This identity can be derived by using the double angle formula for cosine:
cos(2x) = cos(x + x) = cos(x)cos(x) - sin(x)sin(x) = cos²x - sin²x
Therefore, the expression cos²x - sin²x can be simplified to cos(2x).
Plz help no links thank you
Answer:
58
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
x + 56 = 114 subtract 56 from both sides
x = 58
Abraham ran 3.18 miles on Monday. On Tuesday, he ran 1.6 times further than he did on Monday. How many more miles did he run on Tuesday than on Monday?
1.908 miles Abraham run on Tuesday than on Monday.
How miles more miles he run on Tuesday than on Monday?Step 1
Monday he run 3.18 miles
Tuesday he run 1.6 times than Monday
how many more miles miles he run?
Step 2
3.18*(1.6-1)
1.6-1 is 1.6 times further than he did on Monday
Step3
3.18*(1.6-1)
=3.18*0.6
=1.908
he run on Tuesday than on Monday is 1.908
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Abraham ran 1.908 more miles on Tuesday than it was on Monday, based on the information provided.
Why is math referred to as arithmetic?The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
First, he ran 3.18 miles on Monday.
He ran 1.6 times more on Tuesday than on Monday.
how many kilometers did he run in total?
Step 2\s3.18*(1.6-1) (1.6-1)
One and a half times closer than he was on Monday at 1.6-1
Step3\s3.18*(1.6-1)\s=3.18*0.6\s=1.908
He ran 2.908 more on Tuesday than it does on Monday.
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HELP!!!! Due to inflation, there were two price increases. After the second increase, the price of an item was twice its original price. By what percent did prices increase the first time if prices increased by 25% the second time?
The increase was 250% over the original price.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
let 'x' represent the original price, then 'x+0.25x' represents the first increase of 25%
six times greater, converted to a percentage:
(x+0.25x)×2×100 a second increase of six-fold
1.25x×2×100
250
The increase was 250% over the original price.
Hence, the increase was 250% over the original price.
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The image shows a quadrilateral inscribed in a circle. Select ALL true statements.
Answer:
c, d, e, g
Step-by-step explanation:
c. you already got it correct
d. since angle b is 100, arc AC must be two times that amount, which is 200
e. opposite angles of a quadrilateral are supplementary (adds up to 180). to find CDA, you have to do 180 minus 100 (which is the measure of angle B) to get 80
g. opposite angles of a quadrilateral are supplementary (adds up to 180). to find BCD, you need to do 180 minus 70 (which is the measure of angle A) to get 110
PLEASE HELP! I’ll give brainliest (no links please)
Answer:
g(x)=2x^2
Step-by-step explanation:
Multiplying by a constant will stretch the graph as shown. The graph of g(x) appears to pass through (1,2), so g(x)=2x^2 is a reasonable guess (I can't see the answer choices).
What is the solution to this system of linear equations y − x 6 y x − 10?
The solution to the system of linear equations is (-8, -2).
NOTE: The problem that is solved here is, 'What is the solution to this system of linear equations? Y - x = 6, Y + x = -10'
The equations with two variables and the largest exponent order of 1 each have one, zero, or an infinite number of solutions, and are referred to as linear equations.
A linear equation with two variables has the conventional form ax + by + c = 0, where x and y are the variables.
Additionally, the answers can be expressed as ordered pairs, like as (x, y). The system of linear equations in two variables is graphically represented by two straight lines, which may intersect, be parallel, or be coincident.
y - x = 6 ----> y = x + 6
y + x = -10 -----> y = - x - 10
As both the equations in terms of y, we get
x + 6 = - x - 10
By further calculation
x + x = - 10 - 6
2x = - 16
Dividing both sides by 2
x = -8
Substituting the value of x in either of the equations
y - x = 6
y - (-8) = 6
So we get
y + 8 = 6
y = 6 - 8
y = - 2
Therefore, the solution to the system of linear equations is (-8, -2).
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solve the system of equations by substitution
y = 2x + 1 and 3x + y = 16
Answer: y=7,x=3
Steps:
y = 2x + 1
3x + y = 16
Substitute y = 2x + 1
3x + 2x + 1 = 16
Simplify
5x+1=16
Isolate x for 5x + 1 = 16: x = 3
For y = 2x + 1
Substitute x = 3
y = 2 · 3 + 1
Simplify
y = 7
The solutions to the system of equations are:
y = 7, x = 3
Hope This Helps!
Aiden is a spice trader.
The price he charges for an order of cumin (in dollars) as a function of the size of the order (in kilograms) is graphed.
What is the approximate average rate at which the total cost increases, as the order size increases from 100 to 600 kilograms?
Approximately $2.40 per kilogramme is the average rate that the total cost rises as the order size does, from 100 to 600 kg.
How much is the average rate?The average rate of change is the average change rate of one thing in respect to another. Simply explained, a computation that divides the amount of change in one thing by the comparable amount of change in another is known as an average rate of change function.
How are average rates calculated?Divide the y-value change by the x-value change to determine the average rate of change. When analyzing changes in observable parameters like average speed or average temperature, finding that average rate of change is especially helpful.
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please help me ♀️ im a tad bit slow-
9514 1404 393
Answer:
Michelle$5Step-by-step explanation:
The dollar value of the 20% coupon will increase if the discount is from a larger amount. Applying the $25 coupon first reduces the amount that the 20% applies to, so reduces the dollar value of the 20% coupon.
Michelle used the 20% coupon first, so its value was 20%($100) = $20.
Natasha used the $25 coupon first, so the value of the 20% coupon was ...
20%($100 -25) = 20%(%75) = $15.
Michelle paid $20 -15 = $5 less.
Answer to question first
Answer:
C. But be careful. It depends if you have been told what I was having trouble with.
Step-by-step explanation:
The question is a little unclear. If the actual interest is constant for all situations, the answer is C. The more times you compound, the more interest you will accumulate. Banks don't do it that way. It they compound every three months, then they cut the interest rate by a quarter.
So the interest would look like (1 + 0.022/4)*principle. Whoever made the question has to make clear what is going on. My guess is the intended answer is C.
what decimal is equivalent to 4/10
Answer:
0.4 is the answer
Step-by-step explanation:
4/10 = 0.4
hope it's helpful
3x+5y= 8
2х - 5y = 22
Solve system of equations
Answer:
{x,y}={6,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 3x + 5y = 8
[2] 2x - 5y = 22
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 2x = 5y + 22
[2] x = 5y/2 + 11
// Plug this in for variable x in equation [1]
[1] 3•(5y/2+11) + 5y = 8
[1] 25y/2 = -25
[1] 25y = -50
// Solve equation [1] for the variable y
[1] 25y = - 50
[1] y = - 2
// By now we know this much :
x = 5y/2+11
y = -2
// Use the y value to solve for x
x = (5/2)(-2)+11 = 6
Graphic Representation of the Equations :
The answer should be: {x,y}={6,-2}
What are the 3 possible solutions when solving a system of equations?
Three possible solutions when solving a system of equation are: one solution, no solution, and infinite solutions.
The 3 possible solutions of a system of equations are:
- Unique or one solution
- Infinite solutions
- No solution
In case of a system of linear equations, we can determine the type of its solution as follows:
- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.
- If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.
- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
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Why will the speedup of a parallel algorithm will eventually reach some limit?
The advantages of adding additional processors will decrease as more are added because some portions are always still sequential, and eventually the speedup approaches a limit.
What is a parallel algorithm's speedup factor?The ratio of the compute time for the sequential method to the time for the parallel algorithm represents the speedup of a parallel algorithm over a matching sequential algorithm. n-fold speedup is what we refer to if the speedup factor is n. For instance, if a sequential approach needs 10 minutes to compute while a parallel algorithm needs just 2, then the speedup is 5 times.
The observed speedup is dependent on every aspect of the implementation. For instance, more processors frequently result in speedups that are greater; but, if other programmer are running on the processors concurrently with a programmer using a parallel technique, the speedup may be reduced by those other applications.
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5. Solve for x: (x-11)-5<(2x-11)+1
A. x>-6
B. X<-6
C. X<2
D. x>2
Answer:
A. x>-6
Step-by-step explanation:
x-11<2x-11+1+5
x-2x<-11+1+5+11
-x<6 (Now multiply by - )
x>-6
The rectangular floor of a classroom is 30 feet in length and 24 in width. A scale drawing of the floor has a length of 15 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answer: 54 inches squared
Step-by-step explanation:
Since it is a scale drawing, when we scale one variable up or down, we have to scale the other value the same amount because they are proportional. For example, if we divide one value by 3, we have to divide the other value by 3 also.
In this case, the real length is 30 feet, and the scale drawing length is 15 in. We divided by 2, so we have to divide the width by the same amount. 24/2 = 12 inches, so the width would be 12 inches or 1 foot.