A landscape engineer is designing a triangular area. He wants to place potted trees in the two largest corners. In which corners will he place the two potted trees?
Answers
Answer:
the picture is kinda blurry, i cant see the numbers
Step-by-step explanation:
Related Questions
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
Answers
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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Swimming Pool On a certain hot summer's day. 203 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $372.75. How many children and how many adults swam at the public pool that day?
Answers
168 children and 35 adults swam in the public pool
Simultaneous equationLet the number of children in the pool be x
Let the number of adult in the pool be y
If 203 people used the public swimming pool, then;
x + y = 203
x = 203 - y .......... 1Also, if the daily prices are $1.75 for children and $2.25 for adults with the receipts for admission totaled $372.75, then;
1.75x + 2.25y = 372.75
175x + 225y = 37275
7x + 9y = 1,491
Substitute equation 1 into 2
7(203-y) + 9y = 1,491
1421- 7y + 9y = 1491
2y = 70
y = 35
Since x = 203 - y
x = 203 - 35
x = 168
Hence 168 children and 35 adults swam in the public pool
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What is the y-intercept of the 1st graph? What is the y-intercept of the 2nd graph? Are the y-intercepts the same?
Answers
195 on the second
It’s the point where the line crosses the y-axis
If the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will also be increased.
a. True
b. False
Answers
False!
The answer is: False.
Whomever stated the answer is "true" is wrong.
simplify (p^2+pq-q^2)+(-p^2+3pq+q^2)
Answers
Simplify the expression (p^+pq+q^2)-(-p^2+3q+q^2) as,
\(\begin{gathered} (p^2+pq-q^2)+(-p^2+3pq+q^2)=p^2+pq-q^2-p^2+3pq+q^2 \\ =4pq \end{gathered}\)So answer is 4pq.
a student missed 3 questions on a 30 question test. what percent did she get correct?
Answers
Answer:
90%
Explanation: 27/30 ÷ 3 = 9/10
9/10 ⇒ 9 x 10 = 90%
At a family reunion, each of Shamar's aunts and uncles is getting photographed once. The aunts are taking
pictures in groups of 5 and the uncles are taking pictures in groups of 10. If Shamar has the same total number
of aunts and uncles, what is the minimum number of aunts that Shamar must have?
Answers
The minimum number of aunts that Shamar must have based on the information provided is 10.
What are the possible number of uncles and aunts?It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:
Uncles: 10, 20, 30, 40, 50
Aunts: 5, 10, 15, 20, 25
How to find the minimum number of relatives?In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.
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The graph shows the relationship between time and the distance a train travels.
What is the slope of the line?
?
Distance (mi)
200
150
100
50
0
ہے
Time (h)
3
Answers
Answer:
50
Step-by-step explanation:
i got it correct on the iready quiz
The graph of the line does not change except only in the y - intercept. The slope of the line remains same.
What is the general equation of the straight line? What is a mathematical function, equation and expression?straight line equation : The general equation of a straight line is -y = mx + c
[m] : slope of line.
[c] : y - intercept
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a graph that shows the relationship between time and the distance a train travels.
From the graph, we can write the coordinates as -
(1, 60) and (2, 120)
So, we can write the slope of the line as -
m = (120 - 60)/(2 - 1)
m = 60/1
m = 60
Therefore, the slope of the line given in the graph will be 60 miles/hr.
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Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21
Answers
Order the numbers from least to greatest
Since median means middle mark off a number on each side until there is one left. That will be your answer
If it is an even amount of numbers than take the middle two numbers and find the average (mean)
To do so add the numbers and divide by two
Answer:
The median of the following numbers is 14
Step-by-step explanation:
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
Answers
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
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A pair of dice is rolled. Determine the probability of a result with: i. one die showing a 4 and the other a 5?
Answers
Answer:
2/11
Reasoning, there are 36 possible (and equally likely) combinations that we can obtain from two dice. Of these 11 (1,5 2,5 3,5 4,5 5,5 6,5 5,6 5,4 5,3 5,2 5,1) would allow us to ‘know’ that “one dice (not necessarily the first) has shown a 5”. Of these 11 possibilities only two also contain a 4. So the probability is 2/11
Step-by-step explanation: have a good day
The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
Is the new jar smaller, the same size or larger than the original? Explain how you worked out your answer.
Answers
Answer:
The new jar is smaller.
Step-by-step explanation:
Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.
Write an equation for the function graphed below
Answers
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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What is the slope of a line perpendicular to the line y=-1/4x-1?
Answers
Answer:
Step-by-step explanation:
The product of the slopes of perpendicular lines is always -1.
The slope of y = -¼x-1 is -¼
The slope of the perpendicular is the inverse reciprocal of -¼, i.e., +4.
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
Answers
How do I solve this equation?? With the steps given below
Answers
Answer:
Step-by-step explanation:
a) Find the slope, x-intercept, y-intercept of the line (L):
3x+4y-6= 0 and draw its graphs.
b) Find the equation of a line perpendicular to the line (L) in part (a) and
passing through the point (1, -2).
Answers
Answer: 2, 1.5 , -0.75
(b) \(4x-3y-10=0\)
Step-by-step explanation:
Given
line is \(3x+4y-6=0\)
Converting it into intercept form
\(\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1\)
So, the x-intercept is \(2\) and y-intercept is \(1.5\)
The slope is given by
\(-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75\)
(b) the line perpendicular to the above line and passing through \((1,-2)\)
The slope of the required line
\(m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}\)
Equation of the line is given by
\(\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0\)
Solve the system of equations.
3x-2y=3
-4x+5y=-11
Answers
The answer to the system of equations 3x-2y=3 and -4x+5y=-11 is (6, 7). An equation is a proposition that has two equal sides as well as an equal sign .
what is equation ?
It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation is a proposition that has two equal sides as well as an equal sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a system of equations is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.
given
Equation substitution is another name for combining the equations. When one variable is added to another equation, this is done.
-8x - 5y = -13
-4x - 5y = 11
Let's make the second equation a one-variable-on-each-side equation.
-5y = 4x + 11
y = -4/5x - 11/5
Put this into your first equation right now.
-8x - 5(-4/5x - 11/5) = -13
Give out the -5 symbol.
-8x + 4x + 11 = -13
Stack similar phrases.
-4x + 11 = -13
-4x = -24
Divide both sides by -4 to isolate x.
x = -24/-4
x = 6
Reintroduce this to either equation now.
y = -4/5(6) - 11/5
Multiply.
y = -24/5 - 11/5
Subtract.
y = -35/5
Simplify.
y = -7
The answer to the system of equations 3x-2y=3 and -4x+5y=-11 is (6, 7).
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3. Tom's entered a snowman building contest in which the person who builds the tallest
snowman wins. Currently, the record is 13.4 feet high. If Tom's snowman is currently 9 feet
high, how many more feet does he need to build on, in order to win the competition
Answers
tom's snowman has to increase by anything greater than 4.4 ft
Answer:
4.5 feet
Step-by-step explanation:
9+4.5=13.5
13.5>13.4
Ok Billy needs 90 lbs of garden soil to landscape a building. In the company storage area, he finds 2 cases holding 24 3/4 soil each, and a third case holding 19 3/8 lb. How much gardening does Bill still need in oder to do the job?
Answers
Answer:
1/3
Step-by-step explanation:
Hello , what is the answer please ?could you please do it step by step in the answer tab because I am very weak in the perfect square
Answers
Step 1
Given;
\(x^2-5x+4\)Required; To write it in the form below
\((x-a)^2+b\)Step 2
Use the method of completing the square to rewrite the expression as required.
The steps to completing the square method include;
1) Divide all terms by the coefficient of x² especially if it is not 1
2) Separate the expression into 2 brackets. The constant term will be in 1 bracket and the other terms in another bracket.
3)Find half of the coefficient of x and add the square of half of the coefficient of x to the bracket containing the other terms but subtract it from the constant term.
4)Simplify the square of half of the coefficient of x on both sides
5) Simplify the constant term by adding up or subtracting as the case may be.
6) Factorize the other bracket containing the square of half of the coefficient of x simplified, x², and x to get the two factors that must be identical binomials as shown below
7) Write the factorized perfect square or identical binomials and the simplified constant sides together to get the answer in the required form.
\(\begin{gathered} ((x^2-5x)+6.25)+(4-6.25) \\ ((x^2-5x)+6.25)+(-2.25) \\ (x^2-5x+6.25)+(-2.25) \\ (x^2-5x+6.25)\text{ is a perfect square} \\ A\text{ p}\operatorname{erf}ect\text{ }square\text{ is a }quadratic\text{ expression that factors out to identical binomials} \\ \text{Therefore,} \\ We\text{ will factorize it searching for 2 factors such;} \\ \text{When we add them we get -5x.} \\ ^{}\text{When we multiply them we get 6.25} \end{gathered}\)These factors are -2.5x and -2.5x
We will now replace -5x with the 2 factors (-2.5x - 2.5x)
Note; These two factors still sum up to -5x and when multiplied give 6.25
\(\begin{gathered} (x^2-5x+6.25) \\ (x^2-2.5x-2.5x+6.25) \\ (x^2-2.5x)(-2.5x+6.25) \\ \text{Get the GCF in both brackets} \\ \text{GCF}=x\text{ in the first bracket and -2.5 in the second bracket} \\ x(\frac{x^2}{x}-\frac{2.5x}{x})-2.5(-\frac{2.5x}{-2.5}+\frac{6.25}{-2.5}) \\ x(x-2.5)-2.5(x-2.5) \\ \text{Hence,} \\ we\text{ have; (x-2.5)(x-2.5)} \\ \text{(x-2.5)(x-2.5)}=(x-2.5)^2 \end{gathered}\)Hence, we will have;
\((x-2.5)^2_{}+(-2.25)\)Hence the given equation, written in the form of (x-a)²+b will be;
\((x-2.5)^2_{}+(-2.25)\)Chris got 28 out of 35 correct in his test. What fraction of the marks did he get wrong? Give your answer in its simplest form.
Answers
Answer:
3/35
Step-by-step explanation:
Chris got 28 out of 35 correct in his test
So
he get wrong=3
fraction= 3/35
So 3/35 is the answer
A cylinder is shown. Which could be the base shape of the cylinder? line non-square rectangle circle square
Answers
Answer:
I believe the answer the 3rd option because a cylinder is a closed shape and had two parallel lines
Step-by-step explanation:
Answer:
circle
Step-by-step explanation:
took the test :) and cylinder bases are circles so!
For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should be expected, on average, between the two sample means. Each sample has n =4 scores with s^2 = 68 for the first sample and s^2 = 76 for the second. (Note: Because the two samples are the same size, the pooled variance is equal to the average of the two sample variances).
a) 4.24.
b) 0.24.
c) 8.48.
d) 6.00.
Next, each sample has n=16 scores with s^2 = 68 for the first sample and s^2 = 76 for the second.
a) 0.12.
b) 2.12.
c) 4.24.
d) 3.00.
Answers
Answer:
d)6.00
d)3.00
Step-by-step explanation:
We are given that
n=4 scores
\(S^2_1=68\)
\(S^2_2=76\)
We have to find the difference should be expected, on average, between the two sample means.
\(S_{M_1-M_2}=\sqrt{\frac{S^2_1}{n_1}+\frac{S^2_2}{n_2}}\)
\(n_1=n_2=4\)
Using the formula
\(S_{M_1-M_2}=\sqrt{\frac{68}{4}+\frac{76}{4}}\)
\(S_{M_1-M_2}=\sqrt{\frac{68+76}{4}}\)
\(S_{M_1-M_2}=\sqrt{36}=6\)
Option d is correct.
Now, replace n by 16
\(n_1=n_2=16\)
\(S_{M_1-M_2}=\sqrt{\frac{68}{16}+\frac{76}{16}}\)
\(S_{M_1-M_2}=\sqrt{\frac{68+76}{16}}\)
\(S_{M_1-M_2}=\sqrt{9}=3\)
Option d is correct.
a sales manager analyzed the sales, in dollars, y, of snow shovels compared to the outside temperature, in degrees fahrenheit, x. the manager calculated the correlation coefficient of r
Answers
The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.
The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.
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A summary of the two stocks is shown.
Name of Stock Symbol Closing Price Day 1 Closing Price Day 2 Closing Price Day 3
Metropolis, Ltd MTP 17.95 18.25 18.28
Suburbia, Inc SBR 5.63 4.98 5.25
Suppose you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price. Which day, during the following two days, would be the best to sell both stocks and by how much?
Day 2 is the best by $13.00.
Day 3 is the best by $13.00.
Day 2 is the best by $2.45.
Day 3 is the best by $2.45.
Answers
The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.
Given are the closing prices of two stocks in three days.
If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,
Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25
If the stock is sold in day 2,
Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25
Profit = $1435.25 - $1448.25 = -$13
If the stock is sold in day 3,
Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7
Profit = $1450.7 - $1448.25 = $2.45
The profit is more for day 3 than day 2.
Hence it is best to sell on day 3 by $2.45.
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Nathan works at an ice cream shop. The sugar cones have a diameter of 5.5 inches and a height of 3 inches. For a single-scoop cone, he packs the cone with ice cream and then puts a scoop on top. The scoop is approximately half a sphere. What is the volume of ice cream Nathan serves in a single scoop cone? Use 3.14 for pi. Round the volume to the nearest tenth.
Answers
The volume of ice cream Nathan serves in a single scoop cone is 67.32 in³.
What is the volume of the cone?The volume of a cone is calculated using the following formula as shown below;
V = ¹/₃πr²h
where;
r is the radius of the coneh is the height of the coneThe radius = d/2 = 5.5 in / 2 = 2.75 in
The volume of the cone is calculated as follows;
V = ¹/₃ x π x ( 2.75 in )² x 3
V = 23.76 in³
The /volume of the sphere is calculated as follows;
V = ⁴/₃ πr³
Since he added half of the volume of sphere, the new volume becomes;
V = ¹/₂ x ⁴/₃ πr³
V = ²/₃πr³
V = ²/₃π(2.75)³
V = 43.56 in³
The total volume = 23.76 in³ + 43.56 in³ = 67.32 in³
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The function F(x) varies inversely with x and f(x) = 25 when x = 6 what is f(x) when x= 18
Answers
Answer:
8.333
Step-by-step explanation:
F(x) α 1/ x
F(x) = k/x
F(x) = 25 ; x = 6
Lets use the information above to obtain the value of k
25 = k/6
k = 25 * 6 = 150
k = 150
Therefore, the value of f(x) when x = 18 will be :
Using the relation :
F(x) = k/x
k = 150, x = 18
F(x) = 150 / 18
F(x) = 8.333
A worker in the UK is paid 22,000 GBP per year as a gross salary her pay is increased by 11.5. What is her new salary? Round to nearest dollar
Answers
Answer:
the final answer of 34,342 USD.
Step-by-step explanation:
To find the worker's new salary, we need to add 11.5% of her current salary to her current salary.
11.5% of 22,000 GBP can be calculated as follows:
11.5% = 11.5/100 = 0.115
0.115 x 22,000 = 2,530
So the increase in salary is 2,530 GBP. To find the new salary, we add this amount to the current salary:
22,000 + 2,530 = 24,530
Therefore, the worker's new gross salary is 24,530 GBP. To convert this to dollars, we need to multiply by the exchange rate of GBP to USD. Assuming an exchange rate of 1.4 USD/GBP (as of September 2021), we have:
24,530 GBP x 1.4 USD/GBP ≈ 34,342 USD
Rounding this to the nearest dollar, we get the final answer of 34,342 USD.
True or False? 6 ab and 4 ba are like terms