The number of ways that the landscaper can plant the trees in a row, assuming that the trees are evenly spaced is 630 ways.
How to calculate the value?According to the data, the golf course architect needs to plant 2 bald cypress trees, 5 white birch trees, and 4 linden trees in a row along a fairway. It should be noted that the number of feasible arrangements will be shown as follows based on the information provided:
Based on the information given, it should be noted that n1 =4, n2 = 5 and n3 = 2.
Therefore, the number of ways that the lineup can be possible will be:
n! / (n − r)!
where n is the number of things to choose from and we choose r of them
This will be illustrated as:
= 10! /4!5!2!
= 630
There are 630 ways.
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What is the reason for each step in the solution of the equation?
4x−1=−2(x+1)
The solution of the equation 4 x - 1 = - 2 (x + 1) is x = [tex]\frac{-1}{6}[/tex]
4 x - 1 = - 2 (x + 1) (given)
4 x - 1 = - 2 x - 2 (applying distributive law to RHS)
4 x - 1 + 2 x = - 2 (transferring literal term from RHS to LHS)
6 x - 1 = - 2 (simplifying literal terms of LHS)
6 x = - 2 + 1 (transferring constant term from LHS to RHS)
6 x = - 1 (simplifying constant terms of RHS)
x = - 1 / 6 (transferring literal coefficient from LHS to RHS)
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2. A rectangle with a length of 20 centimeters and an unknown width of x centimeters has a
smaller rectangle cut out of it. The smaller rectangle has a length of 16 cm and a width of
x-3. The area of the shaded region (what remains) is 80 square centimeters.
Set up
and solve an equation for the value of x.
X
x-3
20 cm
16 cm
The value of x is 8 cm.
What is the area of a rectangle?The area of a rectangle is the space occupied by the rectangle inside its perimeter. A rectangle's area is calculated by multiplying its length by its width.
Given:
Length of rectangle = 20 cm
Width of rectangle= x cm
Area of rectangle = length × width
= 20x cm²
The dimensions of the smaller rectangle cut out of it are,
Length = 16cm
Width = x-3
Area of the smaller rectangle = length × width
= 16(x - 3) cm²
The area of the shaded portion will be equal to the difference between both areas which is given as 80 square centimeters.
20x - 16(x-3) = 80
Now, we need to solve this equation to obtain the value of x.
20x - 16x + 48 = 80
4x = 80 - 48
4x = 32
x = 32/4
x = 8
Therefore, the value of x is 8 cm.
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Give the focus, directrix, and axis of the parabola.x^2=4y
Solution:
The equation of an up-down facing parabola with vertex at (h, k) and focal length p is expressed as
[tex](x-h)^2=4p(y-k)\text{ ----- equation 1}[/tex]Tom worked 28 hours last month and earned $9 per hour. He spent $17 of his earnings since then. How much money does he have left?
Answer:
He would have $235
Step-by-step explanation:
If Tom worked 28 hours and earned $9 per hour he would have 252 dollars. Then if he spent $17 dollars he would have $235
Answer:
235
Explanation:
If Tom worked 28 hours last month, and his hourly rate is $9.
Start by multiplying 9 times 28. 9 × 28 = 252
Faster way I do the math is in my head, what is 9*3=27, Add a zero 9×30=270. 30-2=28;2×9=18, Subtract 270-18=252...
Tom spent $17 of his earnings, $252-$17=$235
In Savannah's World Religions class Quizzes are worth 15% of the final grade, Exams are worth 55%, Projects are worth 25%, and Attendance is worth 5%.
At mid-semester Savannah scored 118 out of 150 points on quizzes, 73, 89, and 97 on the first three exams,each worth 100 points. She got extra credit on her project with a score of 28 out of 25 possible points, and she had perfect attendance to class. Compute Savannah's grade percentage in the class so far.
Savannah's grade percentage in the class so far is 92.28%.
What is the grade percentage?
Percentage is a measure of frequency that is used in mathematics. The sign that represents percentage is %. In order to convert a number to percentage, multiply the fraction of that amount by 100 or by the given percentage.
Savannah's grade percentage can be determined by adding her percentage score in each component that makes up the total grade.
Percentage score in quizzes = (score obtained / maximum score) x percentage allocated to quizzes
(118 / 150) x 15% = 11.80%
Percentage score in the three exams = (average of the three scores / maximum score) / percentage allocated to exams
Average of the three scores = (73+ 89 + 97) / 3 = 86.33
(86.33 / 100) x 55% = 47.48%
Percentage score in the project = (score in the project / maximum points) x percentage allocated to project
(28 / 25) x 25% = 28%
Percentage score in attendance = 5%
Total grade percentage so far: 5% + 28% + 47.48% + 11.80% = 92.28%
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a jar contains 9/10 cups of honey you poured 2/3 cups into a bowl how many cups of Honey are left in the jar
Given the information on the proble, we have to substract 2/3 cups from the 9/10 cups that the jar contains. We can use the following general rule for the substraction of fractions:
[tex]\begin{gathered} \frac{a}{b}-\frac{c}{d}=\frac{a\cdot d-b\cdot c}{b\cdot d} \\ b,d\ne0 \end{gathered}[/tex]then, in this case, we have the following:
[tex]\frac{9}{10}-\frac{2}{3}=\frac{9\cdot3-10\cdot2}{10\cdot3}=\frac{27-20}{30}=\frac{7}{30}[/tex]therefore, there are 7/30 cups of honey left in the jar
Simplify these expressions.
a. n + n + n
b. 3c + 5c
c. 3xy + 5y − 2xy + 3y
The expressions are simplified to;
a. 3n
b. 8c
c. xy + 8y
What are algebraic expressions?Algebraic expressions are defined as mathematical expressions that are composed of coefficients, variables, terms, factors and constants.
They are also made up of some operations, mathematical or arithmetic, which includes;
BracketDivisionMultiplicationAdditionSubtractionParentheses, etcGiven the expressions;
a. n + n + n
Since they are like terms, collect and them together
We have;
3n
b. 3c + 5c
Add the like terms
8c
c. 3xy + 5y − 2xy + 3y
collect like terms
3xy - 2xy + 5y + 3y
Add or subtract like terms
xy + 8y
Hence, the values are 3n, 8c and xy + 8y respectively.
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what is the standard error of mean if o=64 and n=64?
The standard error of mean if o=64 and n=64 will be 8 given the parameters standard deviaion of = 64 and n = 64.
How can the standard error mean be obtained?The formula N provides the standard error mean. We must be aware that the standard error means in the given question is denoted by the letter M.
Applying the formula now, we get the following:
σM = 64/√64
64 divided by its square root gives us the number 8.
The standard error means is thus equal to 64 divided by 8, or 8.
We may then conclude that the standard error means will be 8 given the standard error means of = 64 and n = 64.
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NEED HELP ASAP
Complete the paragraph proof
Answer:
(a) 180°
(b) 180°
(c) Transitive
(d) m∠3
(e) ∠3
Step-by-step explanation:
(a) and (b) Supplementary angles add to 180°
(c) Transitive Property says if a = b and b = c then a = c
please help thank you
A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at random from this population. Assume this is an infinite population. What is the standard error of the sample mean?
The standard error of the sample nean for a population that consists of 500 observations is 1.5
How to calculate the sample mean?From the information, the population that consists of 500 observations has a mean of 40 and a standard deviation of 15.
It should be noted that the sample mean is calculated as:
= Standard deviation / ✓number
= 15 / ✓100
= 15 / 10
= 1.5
Therefore, the standard error is 1.5.
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find the slope of the line that passes through (-82, -26) and (-81, 4)
PROBLEM
Slope of a line passes through (-82,-26) and (-81,4)
Method
Step 1
Write out slope formula
[tex]\text{Slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]Step 2
write out all parameters
x1 = -82, y1 = -26
x2 = -81 , y2 = 4
Step 3
Input all parameter
[tex]\begin{gathered} \text{Slope = }\frac{4\text{ - (-26)}}{-81\text{ - }(-82)} \\ \text{Slope = }\frac{4\text{ + 26}}{-81+82} \\ \text{Slope = }\frac{30}{1} \\ \\ \text{Slope = 30} \end{gathered}[/tex]56 a) -1 < x < 6
d) 7,1
b) x > 0,4
2
e) x ≤
7
c) 3,9 < x
f) x ≥ 5
Answer:
a) -1< x < 6
Step-by-step explanation:
you no. how true answer
Senem is auditing the tax returns of individuals in three zip codes. Thus far, 93.1% of the audited tax returns have passed the audit. If Senem takes 15 tax returns, what is the probability that at most 14 returns will pass the audit?
Round your answer to 3 decimal places.
The required probability would be 65.78% that at most 14 returns will pass the audit.
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
P(Passed the audit) = 0.931
Number of tax returns = 15
We must determine the probability that no more than 14 returns will pass the audit.
⇒ P(X⇒14)
P(X⇒14) = 1 - P(X>14) =1 - P(X=15)
Binomial distribution probability, which can be computed as will be used in this case
⇒ P(X=n IN,p) = P(X=15| 15,0.931)
⇒ 15C15 (0.931¹⁵) (1-0.931)⁽¹⁵⁻¹⁵⁾
⇒ 10.34221 × 10
⇒ 0.3422
⇒ P(X⇒14) = 1 - P(X>14)=1 - P(X=15) = 1 -0.3422 = 0.6578
Hence, there is a 65.78% probability that a maximum of 14 returns will be accepted for filing.
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Which values are in the solution set to this inequality? 3 x 4 < 9 and − x 6 ≥ − 3 x = 4 x = 11 x = 18 x = 12 x = 15
The value of x in the solution set is x = 4
How to determine the values in the solution setThe system of inequalities is given as
3x + 4 < 9
-x + 6 ≥ -3
The first step is to solve for x in both inequalities in the system of inequalities
So, we have
3x + 4 < 9
3x < 5
Divide by 3
x < 5/3
Also, we have
-x + 6 ≥ -3
-x ≥ -9
Divide by -1
x ≤ 9
So, we have
x < 5/3 and x ≤ 9
x ≤ 9 is a superset of x < 5/3
So, we have
x ≤ 9
This means that the values of x do not exceed 9
An example of this value (from the options) is 4
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WILL GIVE BRAINLYEST 100 POINTS
Answer:
first one 49.75
second one 154.5
Step-by-step explanation:
Answer:
1.) 49 [tex]\frac{3}{4}[/tex] [tex]in^{2}[/tex] 2.) 154.5 [tex]cm^{2}[/tex]
Step-by-step explanation:
These involve finding the area of a rectangular prism.
1.)
A = 2wl + 2lh + 2hw
A = 2(3.25 x 3.5) + 2(3.5 x 2) + 2(2 x 3.25)
A = 2(11.375) + 2(7) + 2(6.5)
A = 22.75 + 14 + 13
A = 49.75
2.)
A = 2wl + 2lh + 2hw
A = 2(4.5 x 8.5) + 2(8.5 x 3) + 2(3 x 4.5)
A = 2(38.25) + 2(25.5) + 2(13.5)
A = 76.5 + 51 + 27
A = 154.5
I need help please it would help me a lot thank u
Her monthly payment will be $103.29.
Define simple interest.Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest. Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. Because simple interest keeps total interest payments lower than compound interest, it is better for borrowers. Simple interest is used in the monthly amortization of auto loans and retailer instalment loans. As the loan balance decreases with each monthly payment, so does the interest.
Given Data
Principal = $939
Time = 12 months
Rate = 11%
Simple interest = P(R)(T)
Simple interest = [tex]\frac{939(1)(11)}{100}[/tex]
Simple interest = 103.29
Her monthly payment will be $103.29.
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The word that has the/k/ sound
Answer:
kiss
i just thought of kiss I'm probably not correct to be honest
Question 4
Two diagonally opposite vertices of a square on a coordinate grid are located at (-5,7). (1,1). What is the
perimeter of the square? (7.G.6)
1p
Check the picture below.
Factor completely
4v6+18v5-10v4
Answer:
[tex]2v^4 (v+5)(2v-1)[/tex]
Step-by-step explanation:
[tex]4v^6+18v^5-10v^4 \\ \\ =2v^4 (2v^2 + 9v-5) \\ \\ =2v^4 (v+5)(2v-1)[/tex]
Let f be the function given by f(x)=∣∣x2−2∣∣(x+0.4)(x2−2)(x+0.4). On which of the following open intervals is f continuous?
Using the continuity concept, it is found that the function is continuous on the following interval:
C. (0, 1).
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
In the context of this problem, the numeric values are especially relevant, as the function not continuous at the zeros of the denominator.
The denominator of the function is given as follows:
(x² - 2)(x + 0.4).
Hence the discontinuity points are:
x² - 2 = 0 -> x = -1.41 and x = 1.41.x + 0.4 = 0 -> x = -0.4.Hence the only interval in which the function is continuous over the entire interval is given by option C.
What is the missing information?The function and the possible options are given by the image at the end of the answer.
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John and Ariana bought school supplies. John spent $10.50 on 5 notebooks and 4 pens. Ariana spent $7.80 on 4 notebooks and 2 pens
What is the cost of 1 notebook and what is the cost of 1 pen?
The most appropriate choice for simultaneous linear equation will be given by -
Cost of one notebook is $1.70 and cost of one pen is $0.50
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here,
Let the cost of one notebook be $x and the cost of one pen be $y
John spent $10.50 on 5 notebooks and 4 pens.
So,
5x + 4y = 10.50 ........... (1)
Ariana spent $7.80 on 4 notebooks and 2 pens
So,
4x + 2y = 7.80 ............ (2)
Multiplying equation (2) by 2,
8x + 4y = 15.60 ............ (3)
Subtracting (1) from (3),
3x = 5.10
[tex]x = \frac{5.10}{3}[/tex]
[tex]x =[/tex] $[tex]1.70[/tex]
Putting the value of x in (1)
[tex]5 \times 1.70 + 4y = 10.50\\8,50 +4y = 4y = 10.50\\4y = 10.50 - 8.50\\4y = 2\\y = \frac{2}{4}[/tex]
y = $[tex]0.50[/tex]
Cost of one notebook is $1.70 and cost of one pen is $0.50
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Isaiah is going to invest in an account paying an interest rate of 4.9% compounded
monthly. How much would Isaiah need to invest, to the nearest ten dollars, for the
value of the account to reach $1,150 in 14 years?
3
Answer:
579.93
Step-by-step explanation:
trust me bro
Answer: 580
Step-by-step explanation:
A bag contains 7 red balls and 3 white balls. Andrew, Betsy, Cam and Doug, in that order are going to randomly pick a ball out of the bag and not replace it. The first person to draw a white ball wins $160. What is the probability that Doug will win the S160?
ANSWER
3/7 (the correct option is not there)
EXPLANATION
There are 7 red balls and 3 white balls in the bag.
To find the probability of Doug being the first to draw the white ball, we have to assume that Andrew, Betsy and Cam all draw red balls.
There are a total of 10 balls there.
After Andrew Betsy and Doug pick their balls, there will be 7 balls left, that is:
4 red balls and 3 white balls.
Ther probaility of Doug picking the white ball will therefore be the number of white balls divided by the total number of balls.
That is:
P(Doug) = 3/7
That is the probability that Doug will win the $160.
Find the width w
184 = 2w + 64 + 2w
Answer:
the aswer is 30 glad i could help
Step-by-step explanation:
Answer:
w = 30
Step-by-step explanation:
184 = 2w + 64 + 2w
(2w + 2w)
184 = 4w + 64
(184 - 64)
120 = 4w
(÷4)
w = 30
Lisa earns $39 for 3 hours of babysitting what does she earn per hour of babysitting?
Answer:
13$
Step-by-step explanation:
just divide 39 by three.
39 dive by 3=13
13 x 3=39
Will the number of bananas get smaller or larger as you move down the table. How do you know
With the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.
What is tabular data?Data given in the form of rows and columns are known as tabular data.Tabular data is very useful in statistics.Here,
Bill can only place 5 fruits in a bowl.According to the table,
If there are zero apples, there are 5 bananasIf there is 1 apple, there are 4 bananasIf there are 2 apples, there are 3 bananasIf there are 3 apples, there are 2 bananasIf there are 4 apples, there is 1 bananaIf there are 5 apples, there are 0 bananasThe number of bananas will become smaller as one moves down the table.
Therefore, with the help of the given tabular data, we can conclude that the number of bananas will become smaller as one moves down the table.
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Complete question:
Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. Will the number of bananas get smaller or larger as you move down the table? How do you know?
The table has been attached
Miss Jones mowed 1/4 of her lawn her son mowed 2/5 of it. who mowed most of the lawn? how much of the lawn still needs to be mowed
The son mowed most of the lawn
7/20 of the lawn still needs to be mowed
Explanations:Size of the lawn mowed by Miss Jones = 1/4
Size of the lawn mowed by her son = 2/5
To know who mowed the most lawn, find the LCM of the denominators
The LCM of 4and 5 = 20
Make the denominators of both fractions to be 20
Size of the lawn mowed by Miss Jones = 1/4 x 5/5 = 5/20
Size of the lawn mowed by her son = 2/5 x 4/4 = 8/20
Since 8/20 > 5/20, Miss Jone's son mowed more part of the lawn than Miss Jone
How much of the lawn still needs to be mowed:
[tex]\begin{gathered} \text{The part of the lawn that still n}eeds\text{ to be mowed = 1 -}\frac{1}{4}-\frac{2}{5}\text{ } \\ \text{The part of the lawn that still n}eds\text{ to be mowed = }\frac{7}{20} \end{gathered}[/tex]Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for n. A sphere has a diameter of 5.2 centimeters. The volume of the sphere is about cm?.
Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for n. A sphere has a diameter of 5.2 centimeters. The volume of the sphere is about cm?.
we know that
the volume of the sphere is equal to
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]In this problem we have
r=5.2/2=2.6 cm -----> the radius is half the diameter
pi=3.14
substitute the given values
[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot2.6^3 \\ V=73.6\text{ cm\textasciicircum{}3} \end{gathered}[/tex]answer is 73.6 cubic centimetershow to solve this one