Joe bought an apple tree that was 48 inches in height. He noticed that this tree grew approximately 4 inches in height each year.
Which statement best describes the function that could be used to model the height of the apple tree, h(t), as a function of time, t, in years.
~The height of the apple tree can be represented by a linear function, and the variable t is an exponent in the equation representing the function.
~The height of the apple tree can be represented by an exponential function, and the variable t is multiplied by 4 in the equation representing the function.
~The height of the apple tree can be represented by a linear function, and the variable t is multiplied by 4 in the equation representing the function.
~The height of the apple tree can be represented by an exponential function, and the variable t is an exponent in the equation representing the function.
Answer:
Step-by-step explanation:
8
Find an equivalent ratio in simplest terms: 70:40
Answer:
7:4
Step-by-step explanation:
70 / 2 : 40 / 2
35:20
35 / 5 : 20 / 5
7:4
Fred works for $11.25 per hour. His regular hours are 40 hours per week and he gets time and a half for overtime. One week he works 48.5 hours. He wants to calculate his pay. Complete the table. Rate Regular Hours Overtime Hours Total N/A $ $11.25 $ N/A $ Gross $ Unlimited Attempts Remain
Step-by-step explanation:
The first row
Rate per hour is $11.25Number of regular hours is 40Payment for regular hours:
40*$11.25 = $450The second row
Rate per overtime hour:
$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)Number of overtime hours:
48.5 - 40 = 8.5Payment for overtime hours:
$16.88*8.5 = $143.48The third row
Gross payment is the sum of regular and overtime payments:
$450 + $143.48 = $593.489+(-4)+(-9)+4+8 with additive inverse
The additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is (-9) + 4 + 9 + (-4) -8
How to determine the additive inverse of the expression?The expression is given as
9 + (-4) + (-9) + 4 + 8
As a general rule, the additive inverse of an expression represented by x is
Additive inverse = -x
This means that
Expression = x
Additive inverse = -x
The above implies that we negate the expression to get the Additive inverse
So, we have
Expression = 9 + (-4) + (-9) + 4 + 8
This means that
Additive inverse = -[9 + (-4) + (-9) + 4 + 8]
Open the brackets
So, we have
Additive inverse = (-9) + 4 + 9 + (-4) -8
Hence, the additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is (-9) + 4 + 9 + (-4) -8
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A computer package was used to generate the following printout for estimating the mean sale price of homes in a particular neighborhood. X =sale_price SAMPLE MEAN OF X = 46,500 SAMPLE STANDARD 13,747 DEV - SAMPLE SIZE OF X = 15 CONFIDENCE = 95 UPPER LIMIT = 54,113.6 SAMPLE MEANOF X 46,500 LOWER LIMIT = 38,886.4 At what level of reliability is the confidence interval made? 52.5% 5% 95% 47.5%
The confidence interval for estimating the mean sale price of homes in the neighborhood is made at a 95% level of reliability.
The confidence level for the given interval is 95%. This means that if the sampling and estimation process is repeated many times, the calculated interval will contain the true mean sale price of homes in the neighborhood 95% of the time.
The given printout already indicates a confidence level of 95%, which means that you can be 95% certain that the true mean sale price falls within the range of the lower limit (38,886.4) and the upper limit (54,113.6).
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In the inequality 5x+10<250. ,x represents the number of pa parts mr melamet will be able to grade in an evening which phrase most accurately
Answer:
x<48
Step-by-step explanation:
step one- subtract 10 from both sides
step two- divide 240 by 5
step three- keep the inequality the same because the number with the x is positive
step four- x<48
Answer:
x<48
Step-by-step explanation:
Should you expect the answer to be a lot less than 88 slightly less than 88 slightly greater than 88 or a lot greater than 88?
Answer:
The answer is 11000; a lot greater than 88
Step-by-step explanation:
Do find the of:
88/x = .8/100
x.8 = 88 x 100
\(\frac{x.8}{.8} = \frac{8800}{.8}\)
8800 ÷ .8 = 11000
Select all expressions that are squares of linear expressions. Ox? +62+36 (2d + 8) (2d - 8) Op? - 6p +9 2? +36 ] 9.22 - 36
Answer:
Step-by-step explanation:
Distribute:
=(62)(9.22)+(36(2d+8)(2d−8))(9.22)+(−6p)(9.22)+(92)(9.22)+(36)(9.22)+−36
=571.64+1327.68d2+−21242.88+−55.32p+848.24+331.92+−36
Combine Like Terms:
=571.64+1327.68d2+−21242.88+−55.32p+848.24+331.92+−36
=(1327.68d2)+(−55.32p)+(571.64+−21242.88+848.24+331.92+−36)
=1327.68d2+−55.32p+−19527.08
this is what I got I'm sorry
does this graph have a maximum? so what is it?
No, actually that graph has a global minimun at x = 0
I need help! This pattern repeats every 4 terms. The pattern is square, hexagon, trapezoid, triangle. What is the shape in the 7th term of this pattern?
==========================================================
Explanation:
There are two ways to do this problem.
Method 1 involves listing out the terms until we reach the seventh one.
squarehexagontrapezoidtrianglesquarehexagontrapezoidtriangleWe see that the trapezoid is term 7.
-------------
Method 2 is faster and the one I recommend.
Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.
7/4 = 1 remainder 3
The remainder 3 means that the answer is found in term 3, which is the trapezoid.
Two stacks of books together are 7 1/2 inches tall. If one stack is 4 3/4 inches tall, how tall is the other?
please send help i really need it lol thank u
Answer:
i think it is B
Step-by-step explanation:
(iii) Calculate the probability that the couple will have two girls. (iv) Calculate the probability that the couple will have at least one girl. (2) (2) [11] (iii) Calculate the probability that the couple will have two girls. (iv) Calculate the probability that the couple will have at least one girl. (2) (2) [11] QUESTION 23 A newly married couple plans to have two children. Naturally, they are curious about whether their children will be boys or girls. Let B denotes that the child is a boy and G denotes that the child is a girl, BB denotes that the first child is a boy and the second child is a boy and GB denotes that the first child is a girl and the second child is a boy. (a) Construct the tree diagram of this experiment? (3) (b) Suppose that boys and girls are equally likely each time a child is born. (i) Calculate the probability that the couple will have two boys. (ii) Calculate the probability that the couple will have one boy and one girl. (2) (2) (2) (iii) Calculate the probability that the couple will have two girls. (iv) Calculate the probability that the couple will have at least one girl. (2) [11]
Answer:
(iii) The probability that the couple will have two girls is 1/4 or 0.25.
(iv) The probability that the couple will have at least one girl is 3/4 or 0.75.
Step-by-step explanation:
(a) The tree diagram for this experiment can be constructed as follows:
css
Root
/ \
B G
/ \ / \
B G B G
Each branch represents the gender of a child, with B denoting a boy and G denoting a girl. The outcomes BB, GB, BG, and GG represent the possible combinations of genders for the two children.
(b) Given that boys and girls are equally likely each time a child is born, we can calculate the probabilities as follows:
(i) The probability that the couple will have two boys is 1/4 or 0.25. This is the probability of the outcome BB.
(ii) The probability that the couple will have one boy and one girl is 1/2 or 0.5. This is the probability of the outcomes BG and GB.
(iii) The probability that the couple will have two girls is 1/4 or 0.25. This is the probability of the outcome GG.
(iv) The probability that the couple will have at least one girl is 3/4 or 0.75. This is the probability of the outcomes BG, GB, and GG.
These probabilities can be determined by counting the number of favorable outcomes and dividing by the total number of possible outcomes. In this case, since boys and girls are equally likely, each outcome has a 1/4 probability.
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Express each ratio as a fraction in the simplest form
Answer:
Step-by-step explanation:
13. 36/40 cups = 9/10 cups
14. 28/35 points= 4/5 points
15. 18/27 gallons= 2/3 gallons
16. 8/48 pennies= 1/6 pennies
19. 18/24 feet= 3/4 feet
18. 8/332= 2/83 dimes
17. 8/12 footballs= 2/3 footballs
20. 6/36 pints= 1/6 pints
Solve the equation 28=[12-2x][15-2x]
When a solution to the linear programming problem satisfies all the constraints, including the nonnegativity conditions, it is considered Feasible O Semi-feasible Infeasible O Unbounded 1 points Save Answer By reviewing and evaluating up Solution, we have a. taken the final step in the Decision-Making proces
b. taken the first step in the Decision Making proces c. considered multiple criterias to evaluate the alterr
d. proposed all possible alternatives for the problem
Option C. When a solution to the linear programming problem satisfies all the constraints, including the nonnegativity conditions, it is considered Feasible.
In linear programming, a feasible solution is a solution that satisfies all of the constraints in the problem, including the nonnegativity conditions. In other words, a feasible solution is a solution that is possible and meets all of the requirements of the problem.
On the other hand, an infeasible solution is a solution that violates one or more of the constraints or the nonnegativity conditions. An unbounded solution is a solution where the objective function can be increased or decreased indefinitely, without violating any of the constraints.
Therefore, when a solution to the linear programming problem satisfies all the constraints, including the nonnegativity conditions, it is considered feasible.
Option A, B, C, and D are not directly related to the concept of feasibility in linear programming.
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When a solution to the linear programming problem satisfies all the constraints, including the nonnegativity conditions, it is considered Feasible O Semi-feasible Infeasible O Unbounded 1 points Save Answer By reviewing and evaluating up Solution, we have
A. taken the final step in the Decision-Making process
B. taken the first step in the Decision Making process
C. considered multiple criterias to evaluate the alter
D. proposed all possible alternatives for the problem
If incomes increase by 58% and the quantity demanded of tennis balls drops by 87% as a result, what is the income elasticity of demand for tennis balls?
The income elasticity of demand for tennis balls is -1.5. The negative sign indicates an inverse relationship between income and the quantity demanded of tennis balls, suggesting that tennis balls are an inferior good.
To calculate the income elasticity of demand, we need to use the formula:
Income Elasticity of Demand = Percentage change in quantity demanded / Percentage change in income
Given that incomes increase by 58% and the quantity demanded of tennis balls drops by 87%, we can plug these values into the formula:
Income Elasticity of Demand = (-87%)/58%
Simplifying the calculation:
Income Elasticity of Demand = -1.5
The income elasticity of demand for tennis balls is -1.5. The negative sign indicates an inverse relationship between income and the quantity demanded of tennis balls, suggesting that tennis balls are an inferior good.
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A polygon is regular when all angles are equal and all sides are equal
True or False
Answer:
True
Step-by-step explanation:
True, because a polygon have all angles that are equal and all lengths are the same length.
A shipment of sugar fills 2(1)/(5) containers. If each container holds 3(3)/(4) tons of sugar, what is the amount of sugar in the entire shipmen Write your answer as a mixed number in simplest form.
The amount of sugar in the entire shipment is 97(1)/(2) tons.
We are given that a shipment of sugar fills 2(1)/(5) containers. If each container holds 3(3)/(4) tons of sugar, we need to find the amount of sugar in the entire shipment.
Step-by-step explanation:
One container of sugar holds 3(3)/(4) tons of sugar. There are 2(1)/(5) containers of sugar in the shipment.
Amount of sugar in one container = 3(3)/(4) tons
Amount of sugar in 2(1)/(5) containers
= 2(1)/(5) × 3(3)/(4) tons
= 13/5 × 15/4 = 195/20
= 97(1)/(2) tons
Therefore, the amount of sugar in the entire shipment is 97(1)/(2) tons.
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what is the largest number of edges in undirected graph with n vertices can have before it must contain a cycle?
The largest number of edges in the undirected graph with 'n' vertices which is before it present cycle is equal to n( n - 1 ) / 2.
Undirected graph represents no direct edges of the graph.In cyclic undirected graph two edges are joined with each other out of n vertices.Maximum possible number of edges in only single are given by ⁿC₂.Simplify ⁿC₂ we get number of edges equals to n! / 2! ( n - 2 )! = n( n- 1 ) / 2.The number of edges in directed graph is twice that of undirected graph.Possible number of edges in acyclic is equal to ( n - 1 ).Therefore, the largest possible number of edges in the undirected graph which has 'n' vertices before it contain a cyclic is equal to n ( n - 1 ) / 2.
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Kyle wants to go to a big concert coming up. The original price of the ticket is $60.00, but with taxes and fees, the price goes up to $75.00. By what percent did the taxes and fees increase the ticket price?
89
44
What is the value of v?
V=
o
Step-by-step explanation:
djzbiznJzlzbzjdkzlz?kskdbdid jaozbizz,#
the purpose of this test is to evaluate the effects of rotational acceleration on the semicircular ducts and dynamic equilibrium. This test is called_____.
The purpose of this test is to evaluate the effects of rotational acceleration on the semicircular ducts and dynamic equilibrium. This test is called Rotational Acceleration Test.
The purpose of the rotational acceleration test is to assess how the semicircular ducts and the body's dynamic equilibrium respond to rotational movements. The semicircular ducts are part of the vestibular system, which is responsible for detecting changes in head position and rotational movements.
During the test, the individual is subjected to controlled rotational acceleration, usually in a specially designed chair or device. The rotational acceleration induces a sense of spinning or movement, stimulating the semicircular ducts.
By observing the individual's responses, such as eye movements or changes in body posture, healthcare professionals can gather information about the functioning of the vestibular system and the body's ability to maintain balance.
This test is particularly useful in diagnosing disorders of the vestibular system, such as vestibular dysfunction, vertigo, or balance disorders. It helps healthcare providers determine the extent of the impairment and develop appropriate treatment plans or interventions to improve balance and reduce symptoms.
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find x, how do you do this??
Step-by-step explanation:
you do know that all angles at one side of a line around a single point have to be 180° (you can make only a half-circle on one side of a line).
therefore, y and 3y are supplementary angles (combined they are 180°).
y + 3y = 180
4y = 180
y = 45°
3y = 135°
and now again, the sum of all angles in a triangle is always 180°.
so,
180 = 135 + 18 + x
x = 27°
6-4 practice properties of rhombuses rectangles and squares
Quadrilaterals, rectangles, and squares are all quadrilaterals, which means they have four sides. However, there are some differences in their properties. Here are the 6 properties of rhombuses, rectangles, and squares:
Properties of Rhombuses:
A rhombus has four congruent sides.Opposite angles of a rhombus are congruent.Diagonals of a rhombus bisect each other at right angles.The diagonals of a rhombus are perpendicular.The area of a rhombus can be calculated as A = ½ (d1 x d2), where d1 and d2 are the lengths of the diagonals.The perimeter of a rhombus is equal to four times the length of one side.Properties of Rectangles:
A rectangle has four right angles.Opposite sides of a rectangle are congruent.The diagonals of a rectangle are congruent.The area of a rectangle can be calculated as A = l x w, where l is the length and w is the width.The perimeter of a rectangle can be calculated as P = 2(l + w), where l is the length and w is the width.The diagonals of a rectangle bisect each other.Properties of Squares:
A square has all four sides congruent.All four angles of a square are right angles.The diagonals of a square are congruent and bisect each other at right angles.The area of a square can be calculated as A = s^2, where s is the length of one side.The perimeter of a square can be calculated as P = 4s, where s is the length of one side.The diagonals of a square divide it into four congruent right triangles.For more details about quadrilaterals click here:
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Question 9 of 25
What is the probability that out of 250 bables born, 130 or fewer will be boys?
Assume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent.
A. 3.3%
B. 75.7%
C. 97.5%
D. 28.5%
SUBMIT
Use the expression 11 + 9k + 6n. Tell whether each statement is True or False. T or F: the expression has 3 terms. T or F: In the expression, 11 is a coefficient. T or F: In one of the terms, 6 is a factor. T or F: The expression has two variables.
The classification of the terms in the expression is given as follows:
True: the expression has 3 terms.True: in the expression, 11 is a coefficient.True: In one of the terms, 6 is a factor.True: The expression has two variables.First statementIn an addition, each term involved in the addition is called a term. Hence, the expression has three terms, which are given as follows:
11.9k.6n.Hence the first statement is correct.
Second statementThe coefficients of the expression are:
11.9.6.Hence the second statement is correct.
Third statementIn the third term, 6n is divisible by 6, hence six is a factor of the term, and the third statement is correct.
Fourth statementThe variables of the expression are k and n, hence two variables, and the fourth statement is correct.
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Help me please?!!!!!!!!!
Answer:
Last option: f(x) = \(\sqrt[5]{\frac{x}{7} }\)
Hope this helps!
Convert 7/11 into a decimal
7/11 written as a decimal to 3 decimal places is 0.636.
Answer:
0.63
Hope this help <3
Consider the line y=-5/4x + 5
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:5
Step-by-step explanation: