anumeha mows lawns she charges an initial fee and constant fee for each hour of work
Answers
Given the function:
\(F(t)=6+12t\)Where F represents Anumeha's fees (in dollars) for working t hours. The initial fee can be calculated for t = 0:
\(F(0)=6+12\cdot0=6\)So the constant fee is $6. Now, we need to calculate how much does she charges each hour. We can calculate the values at t = 1, t = 2, and t = 3:
\(\begin{gathered} F(1)=6+12\cdot1=18 \\ F(2)=6+12\cdot2=30 \\ F(3)=6+12\cdot3=42 \end{gathered}\)As we can see, there is a constant increment of $12 for each hour. Then, Anumeha charges $12 for each hour of work.
Related Questions
at a farm the ratio of the number of hens to the number of ducks is 3:5 there are 125 ducks at the farm how many hens are there on the farm
Answers
3 : 5
x : 125
125 ÷ 5 = 25
25 × 3 = 75
no. of hens = 75
Use the Multiplication Property of One to rewrite the statement.8+ (= x1) =
Answers
The multiplication property of one is any number multiplied by 1, gives the same result as the number itself.
38. Which of the following describes a median of a triangle? (1 point)
a segment drawn from a vertex to the midpoint of the opposite side
a segment drawn from the vertex perpendicular to the line containing the opposite side
a segment drawn through the midpoint of a side and at a right angle to the side.
segment drawn from the center of an angle to the side opposite.
Answers
A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.
What is a triangle?In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.
In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.
In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.
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What is the area of the parallelogram QRST?
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\(\text{Area of parallelogram QRST} = QR \times TU = 20 ~in \times 18~in =360 in^2\)
Find the area to this shape
Answers
Answer:
A= 42.5
Step-by-step explanation:
2*5= 10
10/2=5
2*2= 4
4/2=2
5+2+4=11
3.5*9= 31.5
31.5+11=42.5
Sorry if this is wrong if it is wrong please let me know I think I know what I did wrong if it is wrong
Write each answer in scientific notation (6x10^-3)(1.4x10^1)
Answers
When expressed in scientific notation, extremely large or tiny numbers are easier to comprehend. The expression (6x10⁻³)(1.4x10¹) have the solution in scientific notation as 8.4 x 10⁻².
What does scientific notation actually mean?A number can be expressed using scientific notation if it cannot be conveniently expressed in decimal form due to its size or shape, or if doing so would require writing out an abnormally long string of digits. In the UK, it is also referred to as standard form, standard index form, and standard form.
Despite the fact that we are aware that whole numbers can never be exhausted, we are unable to record such vast amounts of data on paper. Moreover, a simpler method of representation is required for the numbers that appear at the millions place after the decimal. This may make it challenging to represent small numbers in their larger form. We employ a scientific notation as a result.
Given:
= (6x1.4)(10⁻³x10¹) = (8.4x10¹)(10⁻²)
= 8.4x (10¹ x 10⁻²)
= 8.4x (10¹ x 10⁻²)
= 8.4 x 10⁻²
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A and B are mutually exclusive events. P(A) = 0.20 and P(B) =
0.50.
What is P(A or B)?
Answers
help me pleaseeeeeeee
Answers
pls helppp this is so confusinggg
Answers
Answer: .025
Step-by-step explanation: we first have to find the distance between each term we divide 12/5 by 6 you have to change it into multiplication so you invert is to 12/5 times 1/6 you then get 12/30 you reduce that to become 2/5 if you want to test this to make sure it is right then you can. you then use a formula but I can't remember it so then you can just multiply it several times to find the answer. you get the answer by round from the thousandths
Identify the domain and range of the function graphed below.
Answers
need heeeelp please
Answers
Answer:
7.61577310586
Step-by-step explanation:
Pythagoras Theorem 7 squared + 3 squared= 49+9=58
\(\sqrt{58}\)
Select all the correct answers
A. Reflection across the x-axis followed by reflection across the y-axis and then a dial action by scale factor 0.5
B. A 90 counterclockwise rotation about the origin and then dialation by scale factor
C. A 180 clockwise rotation about the origin and then a dialation by scale factor of 0.5
D. A transition 2 units down and 5 units left and then a dialation by scale factor
Answers
Hope that helps ;)
Which is greater -8.3 or -8.4
Answers
Finding the intercepts, asymptotes, domain, and range from the graph of a rational function
Answers
From the given graph
The asymptotes are the dotted lines in the graph, then
The vertical asymptote is x = 3
The horizontal asymptote is y = 1
The domain is all values of x that make the function defined
Since x can not equal 3, then
The domain is
\(D=(-\infty,3)\cup(3,\infty)\)The range is all values of y corresponding to the values of the domain (x)
Since y can not equal 1, then
The range is
\(R=(-\infty,1)\cup(1,\infty)\)The x-intercept is the value of x at the graph intersecting the x-axis
Since the graph intersects the x-axis at the point (6, 0), then
The x-intercept is 6
The answer is the first choice 6
The y-intercept is the value of y at the graph intersection the y-axis
Since the graph intersects the y-axis at point (0, 2_, then
The y-intercept is 2
The answer is the second answer 2
Does the graph represent a function? Why or why not ?
Answers
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
Can someone please help me with this problem?
Answers
9514 1404 393
Answer:
0, 1, 2, 3
Step-by-step explanation:
The set of absolute values of integers is the set of non-negative integers. The four smallest values of the set are ...
0, 1, 2, 3
what percent of 75 is 57?
Answers
Answer:
76%
Step-by-step explanation:
57/75
(57 X 100)/ 75
5700/75
1900/25
76/1
76
Assume that military aircraft use ejection seats designed for men weighing between 133.8 lb and 208.0 lb. If women’s weights are normally distributed with a mean of 172.6 lb and a standard deviation of 42.4 lb, what percentage of women have weights between the ejection seat’s weight limits (that is, 133.8 to 208.0 lb)? Enter your answer as a percent rounded to one decimal place (do not add a "%"); add a trailing zeros as needed. The percentage of women with weights between 133.8 and 208.0 lb is [EjectPct] percent.
Answers
Answer:
61.8
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 172.6, \sigma = 42.4\)
What percentage of women have weights between the ejection seat’s weight limits (that is, 133.8 to 208.0 lb)?
We have to find the pvalue of Z when X = 208 subtracted by the pvalue of Z when X = 133.8 for the proportion. Then we multiply by 100 to find the percentage.
X = 208
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{208 - 172.6}{42.4}\)
\(Z = 0.835\)
\(Z = 0.835\) has a pvalue of 0.798
X = 133.8
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{133.8 - 172.6}{42.4}\)
\(Z = -0.915\)
\(Z = -0.915\) has a pvalue of 0.180
0.798 - 0.18 = 0.618
0.618*100 = 61.8%
Without the %, the answer is 61.8.
The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state and to see if they differed from the national average. Click on the datafile logo to reference the data.
A. Formulate hypotheses that can be used to determine whether the population mean annual administrator salaries in Ohio differ from the national mean of $90,000.
B. The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?
C. At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?
D. Repeat the preceding hypothesis test using the critical value approach?
Salary Data
77600
76000
90700
97200
90700
101800
78700
81300
84200
97600
77500
75700
89400
84300
78700
84600
87700
103400
83800
101300
94700
69200
95400
61500
68800
Answers
this question is proving to be very difficult so I'm here to request assistance on it?
Answers
...
SOLUTION
Given the figure below;
The radius of the inscribed circle is DE;
\(\begin{gathered} To\text{ determine DE;} \\ CE\text{ is divided into CD:DE}\rightarrow2:1 \\ DE=\frac{1}{3}\times CE \\ DE=\frac{1}{3}\times8.7 \\ DE=2.9 \\ The\text{ radius of the inscribed circle is 2.9} \end{gathered}\)The radius of the circumscribed circle is CD;
\(\begin{gathered} To\text{ determine CD:} \\ CD=\frac{2}{3}\times CE \\ CD=\frac{2}{3}\times8.7=5.8 \\ The\text{ radius of the circumscribed circle is 5.8} \end{gathered}\)
2x – 3 > -4x + 2
What is the solution to the inequality
Answers
Answer:
\(x>\frac{5}{6}\)
Step-by-step explanation:
\(2x-3>-4x+2\)
Add 3 to both sides
\(2x-3+3>-4x+2+3\)
Simplify
\(2x>-4x+5\)
Add \(4x\) to both sides
\(2x+4x>-4x+5+4x\)
Simplify
\(6x>5\)
Divide both sides by 6
\(\frac{6x}{6} >\frac{5}{6}\)
Simplify
\(x>\frac{5}{6}\)
I have a picture of a graph and I need to write the equation for a degree four polynomial
Answers
To find the polynomial equation of the graph.
Now, identify the x-intercept of the graph,
x=-3 , x=-1 , x=3, x=4.
these are the factors of the polynomial,
\((x+3),(x+1),(x-3),(x-4)\)The polynomial is,
\(p(x)=a(x+3)(x+1)(x-3)(x-4)\)to determine the sketch factor use the y-intercept point.
(0,1).
\(\begin{gathered} p(0)=a(0+3)(0+1)(0-3)(0-4) \\ 1=a(3)(1)(-3)(-4)_{} \\ 1=a\cdot36 \\ a=\frac{1}{36} \end{gathered}\)\(p(x)=\frac{1}{36}(x+3)(x+1)(x-3)(x-4)\)a jar contains 5 blue marbles, 7 yellow marble, and 8 green marbles. what is the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble
Answers
Answer:
10.526% or 0.10526
Step-by-step explanation:
The probability of choosing a blue marble would be 5/20, or 0.25 and then the probability of choosing a green marble next would be 8/19, or about 0.421. Multiply these probabilities together to get your answer.
Hope this helps:)
The table below represents favorite ice cream of the freshman and sophomores at
Eastern High School.
What is the approximate probability that a student's favorite is oreo ice cream?
Answers
Answer: 43%,
Step-by-step explanation:
i did it in my search bar but its just 112 percent of 378 which is 43
Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62000, with
annual raises of $2,000. How many years will it take for Lenny and Karl to make the
same salary?
Answers
Step-by-step explanation:
let no of years be x.
55000 + 2500x = 62000 + 2000x
500x = 7000
x = 14
therefore, 14 years.
Topic: algebraic eqns
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Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25
Answers
Answer:
-15
Step-by-step explanation:
When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.
f(g(-3))
means find g(-3) first, then put that answer into f.
g(x) = x - 7
g(-3) = -3 - 7
g(-3) = -10
We found g(-3) is -10, so now put -10 into f.
f(x) = 2x + 5
f(-10) = 2(-10) + 5
= -20 + 5
= -15
Two sides of a triangle have lengths 8 and 11. Which inequalities describe the values that possible lengths for the third side?
Answers
The possible lengths for the third side 8² + 11² < x², 8² + 11² = x²
and 8² + 11² ≥ x².
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, Two sides of a triangle have lengths 8 and 11.
Let, The third side be 'x'.
Therefore, The possible lengths for the third side are,
8² + 11² < x²...(i)
8² + 11² = x²...(ii)
8² + 11² ≥ x²...(iii)
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Help meeeee please thanks if you do!!
Answers
Answer:
its just 16
Step-by-step explanation:
Absoulte value is a whole postive form of a number meaning that 16 is the only answer.
ASAP I need fast now now pleaseo
Answers
Answer:
C (-354, 294)
Step-by-step explanation:
The geometric explicit formula is gn= g1 · \(r^{n-1}\).
N represents the term you are looking for which, in this case, is the 12th term. R represents the common ratio which, in this case, is +3.
G1 represents the first term in the sequence which, in this case, is -2.
Now you solve using this equation: g12 = -2 · \(3^{12-1}\).
12 minus 1 is 11. \(3^{11}\) is 177147. 177147 times -2 is -354294.
And that is your final answer; -354,294
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
Which one of the following simplifications is incorrect?
Group of answer choices
root(4)(9x^4)*root(4)(16x^4)=12x^4
root(3)(x^3)*root(3)(x^3y^6)=x^2y^2
root(3)(x^2y^2)*sqrt(4y^2)=2|y|root(3)(x^2y^2)
root(3)(64)*root(4)(81)=12
Answers
The correct simplification should be:
root(3)(x^2y^2)*sqrt(4y^2) = 2yx^(2/3) or 2yroot(3)(x^2)
The incorrect simplification among the options provided is:
root(3)(x^2y^2)*sqrt(4y^2) = 2|y|root(3)(x^2y^2)
This simplification is incorrect because the product of root(3)(x^2y^2) and sqrt(4y^2) should not result in 2|y|. Let's break down the correct simplification:
root(3)(x^2y^2)*sqrt(4y^2) can be rewritten as (x^(2/3)y^(2/3))(2y).
Now, multiplying x^(2/3) and 2y, we get 2yx^(2/3). However, in the given simplification, it states 2|y| instead of 2y. The absolute value symbol | | should not be present in this context since we are not dealing with negative numbers or absolute values.
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