The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.
Based on the given conditions.
First a farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard.The orchard is divided into equally sized square plotsHe has 10 trees of each variety and randomly assigns each tree to a separate plot in the orchard.Since the plots are the things being measured, they serve as the experimental units. The explanatory variable is the type of apple trees because they induce change in the experimental unit by undergoing two distinct treatments. The experiment is being run by the farmer, and the outcome is the quantity of apples. Since each plot is being investigated separately, the orchard as a whole has no bearing on the experiment.Therefore,
The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.
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Can someone help me with this, please? I really need help!
Strontium-90 (Sr-90) has a half-life of approximately 29 years. Let the initial amount of Sr-90 in a sample be 100g. If the decay function s(y)=100*0.5^y/29 expresses the amount of Sr-90 that remains in the sample after y years, in how many years will 1g of Sr-90 be left? Round up your answer to the nearest number of years
Answer: Approximately 193 years
=======================================================
Work Shown:
y = number of years
s(y) = amount of Strontium-90 (Sr-90) in grams
We plug in s(y) = 1 and solve for y to determine how long it takes for the initial 100 gram sample to decay to 1 gram.
s(y)=100*0.5^(y/29)
1=100*0.5^(y/29)
1/100 = 0.5^(y/29)
0.01 = 0.5^(y/29)
Log[ 0.01 ] = Log[ 0.5^(y/29) ] .... see note1 below
Log[ 0.01 ] = (y/29)*Log[ 0.5 ] .... see note2
(y/29)*Log[ 0.5 ] = Log[ 0.01 ]
y/29 = Log[ 0.01 ]/Log[ 0.5 ]
y = 29*Log[ 0.01 ]/Log[ 0.5 ]
y = 192.671829503468
y = 193
Footnotes
note1: if the variable is in the trees, aka exponent, then log it down. In other words, we use logs to isolate the exponent.note2: use the log rule that Log(A^B) = B*Log(A) which is the actual act of pulling down the exponent and it helps us isolate it.Which would be the result if we divide the sum of 275 and 325 by 25?
A.
25
B.
24
C.
20
D.
30
E.
40
Answer: B. 24
Step-by-step explanation:
275+325= 600
600/25 = 24
Hence, 24 is the outcome
B. 24 is your answer
For i = √-1, (1 + 2i)² = ?
The value of given expression is F(x) = (-3 +4√-1)
What is the expression?An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.
Given i = √-1
F(x) = ( 1 + 2i)²
F(x) = ( 1 + 4i² + 4i)
F(x) = ( 1 - 4 + 4√-1)
F(x) = ( -3 + 4√-1)
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Please help me
Thank you ;)
Explanation:
SAS = side angle side
The tickmarks tell us which sides are congruent to one another. This forms one S of SAS.
The other S would be the shared overlapping sides between the triangles. We're using the reflexive property here.
The marked angles in red are congruent to one another, which refers to the 'A' in SAS. We have two pairs of congruent sides, and a pair of congruent angles between those sides. This allows us to use the SAS rule.
SSS can't be used since we don't know anything about the third pair of sides.
Mr.peters has 80 sheets of colored paper.Seven of his students need the paper for a project.how many sheets does each student get? How many sheets are leftover?
Answer:
each student gets 1 sheet. There are 73 sheets left.
Step-by-step explanation:
Each student only needs 1 sheet and so you just do 80-7 and you get 73
please help with this (percentages)
Here is a recipe for cupcakes.
• Terrance has cup of flour and eggs.
• Duri has cups of flour and grams of butter.
• Habib has cups of milk and cups of sugar.
• Anika has cup of sugar and cups of milk.
If each person has enough of all the other ingredients,
The number of cupcakes made by each person based on the limiting ingredients are;
Terrance → 6 cupcakes
Duri → 12 cupcakes
Habib → 12 cupcakes
Anika → 12 cupcakes
What is a limiting factor of a process or experiment?A limiting factor of a process is one that is used up completely upon completion of the process
The possible missing parts of the question are;
Recipe for making 12 cupcakes;
2 cups of flour
3/4 cups of sugar
2 eggs
3/4 cups of milk
125 g of butter
The ingredients each person has
Terrance; 1 cup of flour + 6 eggs
Duri; 12 cups of flour + 1,000 grams of butter
Habib; 3 cups of milk + 6 cups of sugar
Anika; 1 cup of sugar+ 4 cups of milk
Required;
The number of cupcakes each person can make on their own if each person has enough of the other ingredients.
Solution;
The question is with regards to the limiting variable or factor to making of the cakes
Terrance;
2 cups of flour bakes 12 cupcakes;
The number of cupcakes the 1 cup of flour Terrance has can bake is therefore;
(2 cups of flour)/2 = 1 cup of flour
(2 cups of flour)/2 bakes (12 cupcakes)/2 or 6 cupcakes
1 cup of flour bakes 6 cupcakes
Terrance can bake only 6 cupcakesDuri;
Duri has both more than the required number of cups of flour and grams of butter to make 12 cupcakes, therefore;
The number of cupcakes Duri can make given that he only has sufficient amounts of the other ingredients to make 12 cupcakes is therefore;
12 cupcakesHabib;
Habib also has more than the required amount of milk and sugar, but is limited by the other ingredients of which he only has enough to make 12 cupcakes, therefore;
The number of cupcakes Habib makes is 12Anika;
Anika also has more than the prerequisite amounts of sugar and milk to make 12 cupcakes, therefore;
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Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-7,-2); y= -3x + 1
the equation of line which passes through point (-7,-2) and is parallel to the graph of the given equation is y = -3x +23.
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables..
Here, the given equation is :
y = -3x + 1
which passes through point (-7,-2)
Let us first find the slope of line m which is parallel to the liney = -3x + 1 using point-intercept equation of line that is given by :
y = mx + c....(1)
y = -3x + 1
comparing above equation with equation (1) we get
m = -3
Now, the slope of line parallel to line y = -3x + 1 will have same slope that is m = -3
Now, Let us find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-(-2)) = -3(x-(-7))
(y+2) = -3x-21
y = -3x -21 -2
y = -3x +23
Therefore, the equation of line which passes through point (-7,-2) is y = -3x +23.
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The cost of a family membership at a local gym is $20 for a parking permit plus $15 for each member of the family. express this cost as a function of the number of people in a family, x, using one car.
(A) f(x) = 20x + 15
(B) f(x) = 35x
(C) f(x) = 15x + 20
(D) f(x) = 20x + 1
(E) f(x) = 15x + 1
PLEASE ANSWER ASAP! I WILL GIVE YOU BRAINLIEST IF CORRECT!
Answer:
its C cause when it said permit plus $15 for each member in the family they mention by C
x² + 16x + c = 0
What is the value of “c”
The equation can be solved as below
What is an equation?
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definitions of the word equation and its cognates in various languages might vary slightly. For instance, in French, an equation is defined as having one or more variables, but in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign. Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.
The equation can be solved as
x² + 16x + c = 0
or, c = - x² - 16x
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Two parrel lines cut by a transversal find each angle mesure
The angles formed between the parallel lines and the common transversal are;
7. [tex] \displaystyle{m \angle ABC = 92^{ \circ} }[/tex]
8. [tex] \displaystyle{m \angle MPQ = 125^{ \circ} }[/tex]
9. [tex] \displaystyle{m \angle MNP = 56^{\circ} }[/tex]
10. [tex] \displaystyle{m \angle WXZ = 130^{ \circ} }[/tex]
Corresponding angles
1 and 5, 2 and 6, 4 and 8, 3 and 7
Alternate interior angles
4 and 6, 3 and 5
Alternate exterior angles
1 and 7, 2 and 8
Same side exterior angles
1 and 8, 2 and 7
Same side interior angles
4 and 5, 6 and 3
What are parallel lines on a coordinate plane?Parallel lines on a coordinate plane are lines that have the same slope.
7. According to corresponding angle theorem, we have;
4•x° = (3•x + 23)°
Which gives;
4•x = (3•x + 23)
4•x - 3•x = 23
x = 23
[tex] \displaystyle{m \angle ABC = 4 \cdot x^{ \circ} = (4 \times 23)^{ \circ} = 92^{ \circ} }[/tex]
8. 5•x° = (3•x + 50)°
5•x - 3•x = 50
2•x = 50
x = 50 ÷ 2 = 25
[tex] \displaystyle{m \angle MPQ = (3 \cdot x + 50)^{ \circ} = (3 \times 25 + 50)^{ \circ} = 125^{ \circ} }[/tex]
9. According to alternate interior angles theorem we have;
2•a° = (a + 28)°
2•a° - a° = 28°
a = 28
[tex] \displaystyle{m \angle MNP = (a + 28)^{\circ} = (28 + 28)^{ \circ} = 56^{\circ} }[/tex]
10. 5•y = 2•y + 78°
5•y - 2•y = 78°
3•y = 78°
y = 78° ÷ 3 = 26°
y = 26°
[tex] \displaystyle{m \angle WXZ = 5•y = 5 \times 26^{\circ} = 130^{ \circ} }[/tex]
Corresponding angles
The corresponding angles are;
1 and 5, 2 and 6, 4 and 8, 3 and 7
Alternate interior angles
The alternate interior angles are;
4 and 6, 3 and 5
Alternate exterior angles
The alternate exterior angles are;
1 and 7, 2 and 8
Same side exterior angles
The same side exterior angles are;
1 and 8, 2 and 7
Same side interior angles
The same side interior angles are;
4 and 5, 6 and 3
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Under her cell phone plan, Nora pays a flat cost of $35.50 per month and $5 per gigabyte. She wants to keep her bill at $42 per month. Write and solve an equation which can be used to determine g, the number of gigabytes of data Nora can use while staying within her budget.
Answer:
Step-by-step explanation:
the answer is 1.3 gigabytes
Answer:the equation which can be used to determine the number of gigabytes is 35.5 + 5x = 42 and the solution is x = 1.3
Step-by-step explanation:
17. it is recommended that hikers' backpacks weigh no more than 20% of their body weight on overnight bikes and no more than 10% of their body weight on day hikes there are restrictions a hiker who weighs 160 pounds is planning an overnight hike. the weight of her backpack when packed with essential equipment is 15 pounds. write an inequality to show how many pounds, p, the hiker can still add to her backpack and stay within the recommended weight a hiker who weighs 180 pounds is planning a day hike. the weight of his backpack when packed with part a part b
Expressions can be represented as equations or inequalities
(a) The hiker's backpack weighs 15 lb.
(b) the hiker can add additional 19.5 pounds
The inequality that represents the additional weight is:
The hiker can add additional 19.5 pounds
(a) Long hike
The hiker's weight is given as:
, the recommended weight (x) of the backpack is calculated as:
The hiker's backpack weighs 15 lb.
So now what weare supposed to do is
Subtract 15 from both sides
(b) Day hike
The hiker's weight is given as:
The hiker is embarking on a day hike (i.e. short hike), the recommended weight (x) is calculated as:
The hiker's backpack weighs 7.5 lb.
So, the additional weight the hiker can add is represented as:
Subtract 7.5 from both sides
Hence, the hiker can add additional 19.5 pounds
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Solving Inequalities with One Variable
Show work
4+1+2≥5
Answer: The statement is true
4+1+2≥5
4+1+2 can be simplified to 7
7≥5, 7 is indeed greater than 5
Is this right? I really need to know
Yes, this is right. theta is angle C.
What are angles?In Euclidean geometry, an angle is made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles can be formed by two rays in the plane where they are placed. Additionally, when two planes overlap, angles are created. Dihedral angles are what they are called. When two straight lines or rays intersect at a single point, an angle is created. The vertex of an angle is the location where two points converge.
Here, angle is formed at C, A and B, but here B is 90 and the angle sign is given at C.
So, theta is angle C.
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how did you get the answer for 1.13-0.46
help me....
Answer: 0.67 Just subtract
Step-by-step explanation:
I'm confused about what you are asking But ill assume you want to subtract?
1.13 minus 0.46 is 0.67
Answer:
0.67
Step-by-step explanation:
just get the answer taking out
the delivery times for a distributing site are normally distributed with an unknown population mean and standard deviation. if a random sample of 25 deliveries is taken to estimate the mean delivery time, what t-score should be used to find a 98% confidence interval estimate for the population mean?
The t-statistic is the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column is 2.06
How to calculate confidence interval for population mean for small sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
The number of degrees of freedom will be n - k
The confidence level in the confidence interval
The parameters given in the question is;
The number of pizza orders in the sample is n
The sample size = 26
The number of samples used in the estimate, k = 1 group of 26 randomly sampled.
The level of confidence that the interval contains the population mean = 95%
Therefore, the significance level;
α = 1 - 95% = 1 - 95/100
= 0.05
Here α-level for the upper and lower limit of the interval are;
α/2 = 0.05/2 = 0.025 long
The degrees of freedom, DF = n - k
DF = 26 - 1 = 25
The t-statistic is the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column);
[tex]t_{\alpha/2, DF} = 2.06[/tex]
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A virus is spreading around Kingwood. At the moment, 368 people are infected. If the virus is spreading at a rate of 6% each day, how many people in all will have caught the virus in 5 days?
Answer:
478 / 479
Step-by-step explanation:
6% of 368 is 22.08.
5 days = 6% x 5 = 30%.
30% of 368 = 110.4
110.4 + 368 = 478.4
492 people will be infected with the virus in 5 days.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
We have,
Number of people infected = 368
Rate of spreading = 6%
We can make an equation for the number of people infected in x days.
y = 368 x [tex](106/100)^x[/tex]
y = 368 x [tex]1.06^x[/tex]
Substitute x = 5
y = 368 x [tex]1.06^5[/tex]
y = 492.467
y = 492
Thus,
492 people will be infected with the virus in 5 days.
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pleaseeeee answer Separatrix Separation
The separatrix, which marks the transition from one type of motion to another, can typically be determined under straight forward circumstances.
We have to explain the separatrix separation.
When in motion, a pendulum can either swing from side to side or rotate continuously. The separatrix, which marks the transition from one type of motion to another, can typically be determined under straight forward circumstances. But when the pendulum is pushed at a nearly constant rate, the math breaks down.
A pendulum in motion has two possible motions: a continuous circle or a side-to-side swing. The separatrix—the point at which it switches from one kind of motion to another—can be estimated in the majority of straight forward circumstances. However, the mathematics breaks down when the pendulum is pushed at a nearly constant velocity.
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9
Marisa needs to hire at least 10 staff members for an
upcoming project. The staff members will be made
up of junior directors, who will be paid $640 per
week, and senior directors, who will be paid $880 per
week. Her budget for paying the staff members is no
more than $9,700 per week. She must hire at least
3 junior directors and at least 1 senior director.
Which of the following systems of inequalities
represents the conditions described if x is the
number of junior directors and y is the number of
senior directors?
A) 640x+8800700
Answer:
$9,700=640x+880y+100 let me know if it is set up in a different way because I can only see a's answerStep-by-step explanation:
first we find out how much the required directors will take out of our budgetwe need 3 Jr and 1 SrJr get paid$640 a week and a Sr gets paid$880so we do 640×3=1,920now we add the Jrs and the Sr1,920+880=2,800so we are gonna subtract them from our total9,700-2,800=6,900we have $6,900 left we need at least 7 more employees so we need to figure out how much money we can spend for the next 7 employees6,900÷7= $985.7142857now we know how much we can spend at least $985 per employee we can hire 7 more Sr directors7×880= $6,160now we take that off the left over to see what we get6,900-6,160=740we can afford one more Jr director then we will have $100 remainingin total we can afford 8 Sr directors and 4 Jr directors with $100 remainingto put that in an equation it would be$9,700=640x+880y+100Solve and show your work
The most appropriate choice for factorization will be given by-
[tex](x - 6)(x - 3)[/tex] is the required factorization
What is factorization?
At first, it is necessary to know about algebraic expression.
Algebraic expressions consists of variables, numbers connected with operations like addition, subtraction, multiplication and division.
Factorization is the process of breaking an algebraic expression into a product of smaller expressions. Each smaller expression is known as factors of the algebraic expression
One of the technique of factorization is to do middle term breaking.
Factorization is a very important tool in mathematics
Here,
Middle term technique will be used.
[tex]2x^2 - 9x -18\\2x^2 - 12x + 3x -18\\2x(x-6)+3(x-6)\\(x-6)(2x + 3)[/tex]
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if i had 90 days and i did two months how many days do i have with the school breaks in it to ???
Answer:
Nothing cause your an special and you should know
Step-by-step explanation:
duh
There are 6 triangles and 2 squares. What is the simplest ratio of squares to total shapes?
Answer:
1:4
Step-by-step explanation:
6 triangles
2 squares
total number of shapes = 6 + 2 = 8
ratio of squares to total = 2/8 = 1/4
Answer: 1:4
how many hundreds multiplied by 4 will fit into 2018
We need to know numbers that multiplied by 4 are not greater than 2018.
For example, the number 100 (one hundred), when multiplied by 4 gives 400.
It obviously fits into 2018.
The number 900 by 4 gives 3600
Conrad has 6 more marbles than Rory has. Let r represent the number of marbles that Rory has. Select the expression that represents the number of marbles that Conrad has.
Answer:
Conrad = r + 6
Step-by-step explanation:
The width of stamp M is 43 inches, and the length is 75 inches. The dimensions of stamp M are 76 times the dimensions of stamp P. What is the length of stamp P, in inches? A:6/5 B:8/7 C:14/9 D:49/3
If the dimensions of stamp M are 76 times the dimensions of stamp P then the length of stamp P in inches will be 75/76.
Given that the width of stamp M is 43 inches, length is 75 inches and the dimensions of stamp M are 76 times the dimensions of stamp P.
We are required to find the length of stamp P in inches.
Suppose the length of stamp P be x.
According to question, the length of stamp will be 76x.So,
75=76x
x=75/76
Hence if the dimensions of stamp M are 76 times the dimensions of stamp P then the length of stamp P in inches will be 75/76.
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Answer:
the answer is A, 6/5
4(x−3)−7x≥6 Responses
Answer:
x ≤ -6
Step-by-step explanation:
4(x-3) -7x ≥ 6 Distribute the 4
4x - 12 -7x ≥ 6 Combine like terms
-3x - 12 ≥ 6 Add 12 to both sides
-3x ≥ 18 Divide both sides by -3 Remember to flip the inequality sign
x ≤ -6
if A,B and C are three collinear points such that AB=10 units and AC=15, units what could be the length of BC?
The answer should be 25 unites
\frac{5}{8}-\frac{1}{8} 8 5 − 8 1
After solving the given fractions, the resultant fraction is 1/2.
What are fractions?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many parts of a particular size there are when spoken in everyday English. There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The terms with a numerator and a denominator are called fractions.So, 5/8 - 1/8:
Now, solve as follows:
5/8 - 1/8(5 - 1)/84/81/2
Therefore, after solving the given fractions, the resultant fraction is 1/2.
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The correct question is given below:
Solve: 5/8 - 1/8
please help!! I really need help please help
Answer:
Step-by-step explanation:
Second answer: Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.
Third answer: The transitive property of equality formula is given as follows: If x = y and y = z, then x = z. Where x, y and z belongs to the same category elements. For example, if “x” represents the measurement of a line segment, then y and z should represent the measurement of the line segment.
Fourth answer: Congruent segments are segments that have the same length. ≅ Points that lie on the same line are called collinear.
