The cost of one pine tree is $17.50.
To find the cost of one pine tree, we can use the information provided about the orders from the Greenery Landscaping Company. We have the following two equations:
1) 2P + 5H = $150 (2 pine trees and 5 hydrangea bushes)
2) 3P + 4H = $144.50 (3 pine trees and 4 hydrangea bushes)
Now, let's solve these equations using the substitution or elimination method. Here, we'll use the elimination method.
Step 1: Multiply the first equation by 3 and the second equation by 2 to make the coefficients of H the same:
1) 6P + 15H = $450
2) 6P + 8H = $289
Step 2: Subtract the second equation from the first equation:
(6P + 15H) - (6P + 8H) = $450 - $289
0P + 7H = $161
Step 3: Divide by 7 to find the cost of one hydrangea bush (H):
H = $161 / 7
H = $23
Step 4: Substitute the value of H back into one of the original equations to find the cost of one pine tree (P). We'll use the first equation:
2P + 5($23) = $150
2P + $115 = $150
Step 5: Subtract $115 from both sides of the equation:
2P = $35
Step 6: Divide by 2 to find the cost of one pine tree (P):
P = $35 / 2
P = $17.50
So, the cost of one pine tree is $17.50.
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50 PTS & BRAINLIEST! PLEASE HELP ASAP! Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is in the table
X is equal to 8 and Y is equal to 3.
What is an ordered pair?A pair that has two values stated in a certain sequence between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane.
Each domain element should have exactly one picture for the function, therefore the newest element in the column of x shouldn't be 6,3,9,7. Thus, we have two options for x = 8 or 12
Taking 8 will allow us to add another to the column on y, making y equal to 3.
thus, x = 8 and y = 3.
When an ordered pair is used, the numbers do not repeat.
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Please find all stationary solutions using MATLAB. I get how to do this by hand, but I don't understand what I'm supposed to do in MATLAB. Thanks!dx = (1-4) (22-Y) Rady = (2+x)(x-2y) de - this Find all stationary Solutions of System of nonlinear differential equations using MATLAB.
The first two arguments of the "solve" function are the equations to solve, and the last two arguments are the variables to solve for.
To find all the stationary solutions of the given system of nonlinear differential equations using MATLAB, we need to solve for the values of x and y such that dx/dt = 0 and dy/dt = 0. Here's how to do it:
Define the symbolic variables x and y:
syms x y
Define the system of nonlinear differential equations:
dx = (1-4)(2-2y);
dy = (2+x)(x-2y);
Find the stationary solutions by solving the system of equations dx/dt = 0 and dy/dt = 0 simultaneously:
sol = solve(dx == 0, dy == 0, x, y)
sol =
x = 4/3
y = 1/3
x = -2
y = -1
x = 2
y = 1
The stationary solutions are (x,y) = (4/3,1/3), (-2,-1), and (2,1).
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Which of the following would be a line of reflection that would map ABCD onto itself?y = 23x + y = 13x + y = −1−3x + 3y = 9
The line of reflection that will map ABCD onto itself is the line 3x + 3y = 9 which can be written as x + y = 3.
A line of reflection, which is also known as an axis of symmetry, is a straight line that bisects a given figure into two identical halves. The equation for the line of reflection in a coordinate plane is y = x and y = -x. The reflection of a figure over a line is obtained by taking each point on the figure and then drawing a line from that point to the reflection line, after which the intersection point is found.
The equation y = 23x is a line in a coordinate plane that passes through the origin (0,0). It has a slope of 23, which is greater than 1, so it cannot be an axis of symmetry. The line of reflection cannot be y = 23x because it cannot be a reflection line.
Another equation is y = 13x. This line also passes through the origin and has a slope of 13. However, it cannot be an axis of symmetry because it does not intersect with y = x or y = -x.
The last equation is 3x + 3y = 9 or x + y = 3. This is the equation of a line that passes through the point (3,0) and (0,3). It is perpendicular to the line y = -x and intersect with it at the point (1,2).
This means that the line x + y = 3 is the line of reflection that will map ABCD onto itself.
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what does it mean when the second derivative equals zero
When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.
Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.
Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.
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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.
To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.
Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.
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(Scientific Notation in the Real World MC)
Write the expression as a number in scientific notation.
(5x10²)(4.2×10¹)
6x10³
3.5 x 103
3.5 x 105
0 3.2 10³
3.2 x 105
234.6
Step-by-step explanation:
.
how many seconds are in a whole week?!
A. 200,400
B. 406,800
C. 604,800
D. 605,800
E. 604,000
Answer:
E 604,000
Have a nice day
Colin walked a distance of 15 miles in 6 hours.
Work out Colin's average speed
Give your answer in miles per hour.
You perform 5200 significance tests using a significance level of 3% Assuming that the null hypothesis is true, how many of the test results would you expect to be statistically significant
Approximately 156 of the test results should be statistically significant if the null hypothesis is correct.
A significance level is a probability threshold, which is used to determine whether a given hypothesis can be rejected.
The significance level can be expressed as a percentage, such as 0.05 or 5 percent.
When performing significance tests, if the p-value is less than the significance level, the null hypothesis can be rejected.
The number of test results that would be expected to be statistically significant is calculated using the following formula:
Expected Number of Statistically
Significant Results = Significance Level × Total Number of Tests
PerformedUsing the values provided, the expected number of statistically significant results can be calculated as follows:
Significance Level = 3% = 0.03
Total Number of Tests Performed = 5200
Expected Number of Statistically
Significant Results = 0.03 × 5200
= 156
Hence, if the null hypothesis is true, we would expect approximately 156 of the test results to be statistically significant.
This answer is supported by the fact that the significance level is very low at just 3 percent.
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Graph h(x)=−|x+2|+4.
The graph is in the attached image.
a state runs a lottery in which six numbers are randomly sclected selected ront from 40 without replacement. a player chooses six numbers before the state's cample sample is is selected. a. what is the probability that the six numbers chosen by a player match all six numbers in the state's sample? b. what is the probability that five of the six numbers chosen by a player appear in the state's sample? c. what is the probability that at most four of the six numbers chosen by a player appear in the state's sample? d. if a player enters one lottery each week, what is the expected number of weeks until a player matches all six numbers in the state's sample? hint: each week the game is played is independent of any other week played.
a. The probability that the six numbers chosen by a player match all six numbers in the state's sample is 1/273,765, a very low probability.
b. The probability that five of the six numbers chosen by a player appear in the state's sample is 1/16,496.
c. The probability that at most four of the six numbers chosen by a player appear in the state's sample is (9,717,807/9,829,032) or 0.9886 (rounded off to four decimal places).
d. If a player enters one lottery each week, the expected number of weeks until a player matches all six numbers in the state's sample is approximately 273,765 weeks.
a. The formula for this probability is given as: (40 C 6)/((40 C 6)*(39 C 5)*(38 C 4)*(37 C 3)*(36 C 2)*(35 C 1)) = 1/273,765.
b. The formula for this probability is given as: ((6 C 5) * (34 C 1))/((40 C 6)*(39 C 5)*(38 C 4)*(37 C 3)*(36 C 2)*(35 C 1)) = 1/16,496.
c. he formula for this probability is given as: ((40 C 4) * (36 C 2))/((40 C 6)*(39 C 5)*(38 C 4)*(37 C 3)*(36 C 2)*(35 C 1)) = 0.9886.
d. The formula for this expected value is given as: 1/p, where p is the probability of winning (found in part a). The expected number of weeks is therefore 1/((40 C 6)/((40 C 6)*(39 C 5)*(38 C 4)*(37 C 3)*(36 C 2)*(35 C 1))) = 273,765.
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What is the midpoint of AB
Answer:
about -4, 0.5 I believe
Step-by-step explanation:
the distance between AB is 7 theres is 4 on 1 side and 3 on the other making it lean towards the bottom side specifically -0.5 now using basic knowledge we can conclude that the horizo tal coordinate is -4 hope this helps
The graph of a function is shown below. What is its range?
O (1, 2, 4)
O (1, 2, 3, 5)
O All real numbers.
O (1, 2, 3, 4)
(1,2,4)
Step-by-step explanation:Range describes the y-values of a graph.
Range
Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.
Finding Range
In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).
Help me. The question is giving me problems help.
D/3
The real world situation that can be modelled with the given expression can be modelled as shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
D/3
A real world situation that can be modelled with this expression can be written as follows -
Amanda has a total of {D} bananas. She divides the bananas into 3 of her childrens equally. Write an expression that would represent the amount of bananas recieved by each of her child.
Therefore, the real world situation that can be modelled with the given expression can be modelled as shown above.
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Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recognizes that 7 and StartFraction 1 over 7 EndFraction are reciprocals, so she would like to find their product before she multiplies by StartFraction 13 over 29 EndFraction. Which property will allow Renee to do this without changing the value of the expression? associative property commutative property distributive property identity property
Answer:
The correct option is commutative property.
Step-by-step explanation:
The expression that Renee is simplifying is:
\((7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})\)
It is provided that, Renee recognizes that 7 and \(\frac{1}{7}\) are reciprocals, so she would like to find their product before she multiplies by \(\frac{13}{29}\).
The associative property of multiplication states that:
\(a\times b\times c=(a\times b)\times c=a\times (b\times c)\)
The commutative property of multiplication states that:
\(a\times b\times c=a\times c\times b=c\times a\times b\)
The distributive property of multiplication states that:
\(a\cdot (b+c)=a\cdot b+a\cdot c\)
The identity property of multiplication states that:
\(a\times 1=a\\b\times 1=b\)
So, Renee should use the commutative property of multiplication to find the product of 7 and \(\frac{1}{7}\),
\((7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})=(7\times\frac{1}{7})\times\frac{13}{29}=\frac{13}{29}\)
Thus, the correct option is commutative property.
Answer:
The correct option is commutative property.
Step-by-step explanation:
i took the test and got it right thx to the person ontop of mehn give him credit :p
How do you represent infinity on a graph?
Infinity cannot be directly represented on a graph since graphs are used to represent finite quantities.
However, concepts such as vertical asymptotes, horizontal asymptotes,
and an extended number line can be used to indicate or infer infinite behavior or values.
Infinity, being a concept representing an unbounded and limitless quantity, cannot be directly represented on a conventional graph.
Graphs are typically used to visualize and represent finite quantities or a range of values within a given domain.
However, there are some instances where infinity or infinite behavior can be indicated or inferred on a graph using specific notations or symbols.
Here are a few examples,
Vertical Asymptotes,
For functions, if a graph approaches a vertical line (often denoted by dashed lines) but never intersects it, it suggests an asymptote.
Asymptotes can represent values such as positive or negative infinity,
indicating that the function approaches those values as the independent variable approaches a particular point.
Horizontal Asymptotes
Similar to vertical asymptotes, a horizontal asymptote (represented by a horizontal line) can be used to indicate the behavior of a function
as the independent variable goes towards positive or negative infinity.
If the function approaches a constant value as x approaches infinity, that value can be represented as a horizontal asymptote.
Extended Number Line
Another representation of infinity can be seen on an extended number line, where infinity is often denoted by the symbol ∞.
This extended number line includes positive and negative numbers, as well as infinity as a conceptual endpoint,
indicating values that are unbounded in magnitude.
Infinity remains an abstract concept that lies beyond the scope of conventional graphing techniques.
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Please help me!!!!!!!!
Answer: written as (x,y)
1) (1, -4) 2) (1, -2) 3) (x, -23+7x) 4) (2,-2) 5) (6/5,1) 6) (6,13) 7) (1,2)
8) (23,-13/2)
Step-by-step explanation:
step 1) 4x+3y=-8
y=-12+8x
step 2) 4x+3(-12+8x)=-8)
answer 1) x=1
step 4) y= -12+8*1
answer 1) y=-4
step 1) 4x-2(-2)=8
answer 2) x=1
check 2) 4*1-2(-2)=8
-2=-2
step 1) 14x-2(-23+7x)=46
answer 3) XeR (solution in parametric form)
Step 1) -3x+2(8-5x)=-10
answer 4) x=2
Step 2) y=8-5*2
answer 4) y= -2
Step 1) -5x+4y=-2 (divide both sides)
5x+3y=9
Step 2) 7y=7 (eliminate one variable by adding the equations)
Answer 5) y=1
Step 3) 5x+3*1=9
Answer 5) x= 6/5
Step 1) -5x+3y=9
5x-y=17
Step 2) 2y=26
answer 6) y=13
step 3) 5x-13=17
answer 6) x=6
Step 1) -7x-8y=-23
8x+8y=24
answer 7) x=1
Step 2) 4*1+4y=12
answer 7) y=2
Step 1) -x-10/3y=-4/3
x=23
Answer 8) -13/2)
Answer 8) x=23
Consider drop counts of 20 drops per 1.0 mL, 43 drops per mL, and 67 drops per 3.0 mL. What would be the average number of drops per mL?
The average number of drops per mL is approximately 26 drops/mL.
To find the average number of drops per mL, we can take the total number of drops and divide it by the total volume in milliliters.
Let's first convert the drop counts to drops per milliliter:
20 drops per 1.0 mL = 20 drops/mL
43 drops per 1.0 mL = 43 drops/mL
67 drops per 3.0 mL = (67 drops / 3.0 mL) x (1.0 mL / 1,000 drops) = 22.3 drops/mL
Now we can calculate the average number of drops per mL as follows:
Average drops per mL = (total drops) / (total volume in mL)
The total drops is the sum of the individual drop counts:
total drops = 20 drops + 43 drops + 67 drops = 130 drops
The total volume is the sum of the volumes corresponding to each drop count:
total volume = 1.0 mL + 1.0 mL + 3.0 mL = 5.0 mL
Therefore, the average number of drops per mL is:
Average drops per mL = (total drops) / (total volume in mL) = 130 drops / 5.0 mL ≈ 26 drops/mL
So the average number of drops per mL is approximately 26 drops/mL.
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Subtract 2x^2 – 1 from 4x^2 + 2.
Answer:
2x^2+3 is the correct answer
Answer:
2x² + 3
Step-by-step explanation:
4x² + 2 - (2x² - 1) ← distribute by -1
= 4x² + 2 - 2x² + 1 ← collect like terms
= 2x² + 3
what is the sum of the reciprocals of all positive integers greater than 1, whose only prime factors are 2's and/or 3's
The sum of the reciprocals of all positive integers greater than 1, whose only prime factors are 2's and/or 3's is 8/3.
The sum of the reciprocals of all positive integers greater than 1, whose only prime factors are 2's and/or 3's is 8/3. To prove this, we can use the following equation:
(1/2) + (1/3) + (1/4) + (1/6) + (1/8) + (1/9) + (1/12) + (1/18) = 8/3.
Here, 1/2, 1/3, 1/4, and 1/6 are all reciprocals of numbers whose prime factors are only 2's and/or 3's,
and the sum of these four fractions is 2/3.
To complete the sum, we can add the reciprocals of 8, 9, 12, and 18, which are 1/8, 1/9, 1/12, and 1/18, respectively.
The sum of these four fractions is 6/3, and the sum of 2/3 and 6/3 is 8/3.
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help me for branitest pls
Answer:
The top two are 3 and 4
The bottom two are 6
Step-by-step explanation:
hope it works out
What is the length of PR?
A: 13.5 inches
B: 7.5 inches
C: 10.5 inches
D: 9.5 inches
Answer:
The correct option is;
C: 10.5 inches
Step-by-step explanation:
In triangle ΔPQR the given parameters are;
The length of \(\overline {QP}\) = 19.5 in.
The length of \(\overline {QR}\) = 7.5 in.
In triangle ΔVWX, the given parameters are;
The length of \(\overline {WV}\) = 13 in.
The length of \(\overline {WX}\) = 5 in.
The length of \(\overline {VX}\) = 7 in.
Given that we have;
\(\dfrac{\overline {QP}}{\overline {WV}} = \dfrac{19.5}{13} = 1.5 , \ \dfrac{\overline {QR}}{\overline {WX}} = \dfrac{7.5}{5} = 1.5\)
The ratio of the corresponding sides of triangle ΔPQR and triangle ΔVWX are equal, therefore ΔPQR is similar to ΔVWX, from which we have for the corresponding sides, \(\overline {PR}\) and \(\overline {VX}\);
\(\dfrac{\overline {PR}}{\overline {WV}} = \dfrac{\overline {PR}}{\overline {7}} = 1.5\)
∴ \(\overline {PR}\) = 7 × 1.5 = 10.5
The length of \(\overline {PR}\) = 10.5 inches
WHAT IS 8 tons converted to 8 pounds
Answer:
16,000 lbs. Theres 2,000 lbs to every ton.
If you're asking for 8 tons MINUS 8 pounds, it'd be 16,000 - 8 which equals 15,992 lbs.
Whats the equation and slope Brainlyest to whoever gets right + 20 PTS
Answer:
Equation: y = 1/5x - 2
Slope (m): 1/5
The graph of the line equation y = 1/5x - 2 is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
\(y = mx+b\)
where
m is the slopeb is the y-interceptGiven the ordered pairs
(5, -1)(-5, -3)Finding the slope between the points (5, -1) and (-5, -3)
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-3\right)\)
\(m=\frac{-3-\left(-1\right)}{-5-5}\)
Refine
\(m=\frac{1}{5}\)
Thus, the slope (m) = 1/5
Also given that the y-intercept b = -2
Now, substituting m = 1/5 and y-intercept b = -2 in the slope-intercept form
y = mx+b
y = 1/5x + (-2)
y = 1/5x - 2
Therefore, the equation of the line is:
y = 1/5x - 2The graph of the line equation y = 1/5x - 2 is also attached below.
mark spent a total of $12.33 on 9 oranges and a packet of strawberries. if the packet of strawberries costs $2.88 how much did each orange cost
Answer: $1.05 per orange
Step-by-step explanation:
12.33 - 2.88 = 9.45
9.45 ÷ 9 = 1.05
How do you do number 2
Answer: i tried to do this and the closes was to letter B i hope this helps
Step-by-step explanation:
three students (a, b, and c) are asked to determine the volume of a sample of ethanol. each student measures the volume three times with a graduated cylinder. the results in milliliters are: a (87.1 , 88.2, 87.6); b (86.9, 87.1 , 87.2); c (87.6, 87.8, 87.9). the true volume is 87.0 ml. which student has the best precision?
The values in b are compared with the true volume. And we conclude that b is precise and accurate.
Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.
First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.
From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.
From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.
From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.
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The diagram shows a rectangle. The area of the rectangle is 310 m². Work out the value of w when 5x-9 is the length and 3x+7 is the another length
Answer:
w = 10
Step-by-step explanation:
First we take the two values for the breadth of the rectangle
So:
5x - 9 = 3x + 7
now we solve this equation as follows:
5x - 3x = 9 + 7
2x = 16
x = 8
now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.
when we substitute x in any of these equations, we get
5(8) - 9 = 31
3(8) + 7 = 31
now that we have the value for the breadth we can form the following equation:
31 × w = 310
31w = 310
w = 310/31 = 10
Answer:
10
Step-by-step explanation:
Firstly, we find the value of X
since 5X-9 and 3X+7 are lenghts
5X-9= 3X+7
5X-3X= 7+9
2X = 16
dividing bothsides by 2
2X/2= 16/2
X = 8
Hence,
5X-9= 5(8)-9= 40-9 = 31
3X+7=3(8)+7= 24+7= 31
To find the width
Area= lenght×width
310= 31×w
31w= 310
w= 310/31
W= 10
Please find the value of x with explaination
the value of x is 36. is it right or wrong?
A car travels at a constant speed of 56 mph for 2 hours. How far does the car travel in this
time?
PLZZZZZZZZ HELLLPPPPP DUEEE TODAY!!!!!!!!!!!!!!!!!
Answer:
7776
Step-by-step explanation:
I used my calculator by getting the whole number for each number, then dividing the current whole number to get the correct number.
D foe atho sure kung tama foe ba Yan :) HAHAHA