Answer:
yes it is, we know this because out of the four side the two longer sides are congruent and this goes for the shorter sides as well
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation
What are the coordinates of the image of the point (4,5) after reflecting over the y-axis
here is a link to the aneser hope it helps
The coordinates of the image of the point (4,5) after reflecting over the
the y-axis is (- 4, 5).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A point (4, 5) is reflected over the y-axis.
We know points of coordinated (x, y) reflected over the x-axis becomes
(- x, y).
Therefore, The coordinate points (4, 5) after reflecting over the y-axis would be ( - 4, 5).
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Please help giving brainiest
Answer:
the third
Step-by-step explanation:
a water sprinkler that sprays out 35 feet from the center operates long enough to cover a circular area of 1.4 gallons of water per square foot. how many total gallons of water were used?
The area is covered with 1.4 gallons of water per square foot, approximately 5388.9 gallons of water were used.
We use the formula for the area of a circle: A = πr².
The radius can be determined by dividing the diameter, which is 70 feet, by 2. Therefore, r = 35 feet.
To find the area of the circle, substitute the value of r into the formula for the area of a circle: A = πr².
A = πr²
A = π(35)²
A = 3.14 × 1225
A = 3842.5 square feet
We know that this area is covered with 1.4 gallons of water per square foot, so we can multiply the area of the circle by 1.4 to get the total gallons of water used:
Total gallons of water used = A * 1.4
1.4 × 3842.5 ⇒ 5,379.5 gallons.
Therefore, the total gallons of water used is 5,379.5 gallons.
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Monica earned twice as much as Samuel mowing lawn Monica earned $56. Write an equation to find,s, the amount of money Samuel earned ?
Answer:
see below
Step-by-step explanation:
Monica earned twice as much as Samuel
m = 2*s
Divide each side by 2
1/2 m = 1/2 ( 2s)
1/2 m = s
If monica earned 56
1/2 (56) = s
28 =s
The ratio of triangle BOY to triangle GRL is 1:2. If BO=x+3 and GRL=3x-1, then the length of GR is
explain the math behind it please and thank you
A.5
B.7
C.10
D.20
Answer: B. 7
The ratio of the two triangles indicates that BOY is 1/2 the size of GRL. Therefore, the ratio of the sides of the triangles is also 1:2. Since the length of BO is given as x + 3, this means that the length of GR must be 2(x + 3) - 1 = 2x + 5. Therefore, the length of GR is 7.
Question 19: Salem Tech is currently an all equity firm that has 95,000 shares of stock outstanding with a market price of $40 a share. The current cost of equity is 12 percent and the tax rate is 35 percent. The firm is considering adding $200,000 of debt with a coupon rate of 9 percent to its capital structure. The debt will be sold at par value. What is the levered value of the equity
To calculate the levered value of equity, we need to determine the value of equity after adding debt to the capital structure. Given that Salem Tech is an all-equity firm and plans to add $200,000 of debt with a coupon rate of 9%, we can calculate the levered value of equity.
The levered value of equity can be calculated using the equation:
Levered Value of Equity = Unlevered Value of Equity + Debt
To find the unlevered value of equity, we use the formula:
Unlevered Value of Equity = Market Value per Share * Number of Shares
Given that the market price per share is $40 and the number of shares outstanding is 95,000, the unlevered value of equity is:
Unlevered Value of Equity = $40 * 95,000 = $3,800,000
Finally, we can calculate the levered value of equity by adding the unlevered value of equity and the value of debt:
Levered Value of Equity = Unlevered Value of Equity + Value of Debt
Levered Value of Equity = $3,800,000 + $200,000 = $4,000,000
Therefore, the levered value of equity for Salem Tech is $4,000,000.
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Put -2 1/2 and -3.25 in order from least to greatest. You can use the number line to help.
Answer:
-3.25 then -2 1/2
Step-by-step explanation:
the greater the number in the negative side the less the amount
Evaluate the expression when y=6 and x=9.
x+7y
Answer:
9+(7)(6)
9+42=51
Step-by-step explanation: hope this help
Maya is asked to solve the equation 2(3x + 6) - 3(x - 10). The table shows her steps.Step 1: 6x + 12 = 3(x - 10)Step 2: 6x + 12 = 3x + 30Step 3: 3x + 12 = 30Step 4:3x = 18Step 5: x= 6Where did Maya make a mistake in solving the equation, and why?A. Maya made a mistake between the Given and Step 1 because she did not correctly distribute 2 to (3x + 6).B. Maya made a mistake between Step 1 and Step 2 because she did not correctly distribute 3 to (x10).C. Maya made a mistake between Step 2 and Step 3 because she did not correctly subtract 3x from 6x.D. Maya made a mistake between Step 3 and Step 4 because she did not correctly subtract 12 from 30.
Let's solve the following equation to see where Maya made a mistake:
2 (3x + 6) = 3 (x - 10)
Step 1: Solving parenthesis
6x + 12 = 3x - 30
Step 2: Like terms
6x - 3x = -30 - 12
Step 3: Complete the subtractions at both sides
3x = -42
Step 4: Dividing by 3 at both sides
3x/3 = -42/3
x = -14
Maya didn't multiply correctly 3 * - 10
Yes, Javionery, option B is the correct one.
what is the surface area of the box?
Answer:
B. 152 square inches
Step-by-step explanation:
The surface area equation is:
SA=2LH+2LW+2WH
In this problem, length is 6, width is 1 and height is 10. If we plug those numbers into the equation we have:
SA=2(6)(10)+2(6)(1)+ 2(1)(10)
(simplify)
SA=120+12+20
(simplify)
SA=152
Las edades de dos hermanos tienen una razón de 2 a 1. Cuando transcurran 4 años, la razón entre sus edades será de 8 a 6. ¿Cuántos años tienen actualmente?
Answer:
The age of brothers are 4 years and 2 years respectively.
Step-by-step explanation:
We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.
Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.
So, according to the question;
The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;\(\frac{x}{y} =\frac{2}{1}\)
\(x=2y\) -------------- [equation 1]
The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;\(\frac{x+4}{y+4}=\frac{8}{6}\)
\(6({x+4})=8}(y+4)\)
\(6x+24=8y+32\)
\(6(2y)+24=8y+32\)
\(12y-8y=32-24\)
\(4y=8\)
\(y=\frac{8}{4}\) = 2 years
Putting the value of y in equation 1 we get;
x = 2y
x = \(2 \times 2\) = 4 years
Hence, the age of brothers are 4 years and 2 years respectively.
Adding and subtracting rational expressions, What is the difference? 2x+5/x^2-3x - 3x+5/x^3-9x - x+1/x^2-9?
After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9 .
We first simplify each expression inside the parentheses :
that means :
⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;
⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³) ;
⇒ (x + 1/x² - 9) = (-9 + x + 1/x²) ;
Now we substitute these expressions into original equation/expression :
we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)
Simplifying further ,
we get ;
⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x² ;
On Combining the like terms, we get ;
⇒ 4x - 4/x² - 5/x³ + 9
Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.
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The given question is incomplete , the complete question is
Adding and subtracting rational expressions, Simplify the rational expression (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9) .
a) Find the value of x,
b) State the postulate or theorem that justifies your answer.
Answer:
a) x=60
b) I did (2x-70)+130=180 because each line is 180 unless it's a circle equaling 360
Step-by-step explanation:
The area of a circle is 144 m2. What is the diameter of the circle? O A. 6 m B. 12 in OC. 24 in OD. 144 m
Which answer is equivalent to
Answer:
A
Step-by-step explanation:
sorry if it is wrong
amy wants to put 18 stones around her circular fire pit.the fire pit has a diameter of 4 feet. how many stones are needed?
The circumference of the circle shows that the number of stones needed will be 13.
How to calculate the circumference of the circle?It should be noted that the circumference of a circle is calculated by using the formula:
= 2πr
= 2 × 3.142 × (4/2)
= 12.568
= 13 approximately
Therefore, 13 stones are needed.
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a square garden has an area of 137 square feet.what is the approximate length of one side of the garden
Answer:
11.7
Step-by-step explanation:
when they said sequre they mean the two sides are same length that's why we looked for two numbers are they are same length , then times one number by same number together to find the area because to enable to find the area times one side by the other side equals the area square feet 11.7 times 11.7 equals 137 square feet
my friend consumed 8 donuts in one sitting. 8 donuts is .... (a) a lower bound on how many donuts he is physically capable of eating in one sitting. (b) an upper bound on how many donuts he is physically capable of eating in one sitting. (c) the exact number of donuts that he is physically capable of eating in one sitting. (d) none of the other answers is correct.
My friend consumed 8 donuts in one sitting. 8 donuts is a lower bound on how many donuts he is physically capable of eating in one sitting option A.
An element of K that is bigger than or equal to each member of S is referred to as an upper limit or majorant of a subset S of some preordered set (K, ) in mathematics, notably in order theory. In addition, each element of K that is smaller than or equal to each element of S is characterised as a lower limit or minorant of S.
A set that has an upper (or lower) bound is referred to as being majorized (or minorized), bounded from above, or minorized by that bound. In the mathematical literature, sets that have upper (or lower, respectively) limits are referred to as being bounded above (or below).
Friend consumed 8 doughnuts. So it is
lower bound on how can eat in a sitting.
Many donuts he lower bound is the lowest quantity in a set, as in our.
example, we definitely know he can eat 8 of them. We don't know how many more can be eat (upper bound) or is it exact amount be can eat.
Hence option (a) is correct.
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Zahra hikes up a mountain. She hikes back down at a constant rate. The table
shows Zahra's elevation at each hour after she begins her descent.
Which function describes Zahra's elevation during her descent?
Hours
1
2.
3
4
5
Elevation (ft) 6550 4925 3300 1675 50
y= -1625x + 8175 describes Zahra’s elevation during her descent. Option(4) is correct
A mathematical statement made up of two expressions joined by an equal sign is known as an equation. For instance, x + 5 = 12 is an equation, in which x + 5 and 12 are two expressions separated by an 'equal' sign.
Given data
Hours Elevation(ft)
1 6550
2 4925
3 3300
4 1675
5 50
Now we will go through the options
y=-1625x-8175
Let x =hours vale
X =1,2,3,4,5
Now take option (1) when x =1,2, 3, 4, 5
y = -1625 – 8175 = -9800
y = -3250 – 8175 = -11425
y = -4875 – 8175 = -13050
y = -6500 – 8175 = -14675
y = -8125 – 8175 = -16300
Now take option (2) when x =1,2, 3, 4, 5
y = 1625 + 8175 = -9800
y = 3250 + 8175 = 11425
y = 4875 + 8175 = 13050
y = 6500 + 8175 = 14675
y = 8125 + 8175 = 16300
Now take option (3) when x =1,2, 3, 4, 5
y = 1625 – 8175 = -6550
y = 3250 – 8175 = -4925
y = 4875 – 8175 = -3300
y = 6500 – 8175 = -1675
y = 8125 – 8175 = -50
Now take option (4) when x =1,2, 3, 4, 5
y = -1625 + 8175 = 6550
y = -3250 + 8175 = 4935
y = -4875 + 8175 = 3300
y = -6500 + 8175 = 1675
y = -8125 + 8175 = 50
y= -1625x + 8175 satisfies all the conditions
Therefore y= -1625x + 8175 describes Zahra’s elevation during her descent.
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Match the following problems with their answer, HELP ME PLEASE!!!!!
Answer:
1. 12.5%
2. 26%
3. 51
4. 16
Step-by-step explanation:
3/24=0.125 -> 12.5%
65/250=0.26 -> 26%
300*0.17=51
0.4*40=16
A bus travels the 100 miles between A and B at 50 mi/h and then another 100 miles between B and C at 70 mi/h. The average speed of the bus for the entire 200-mile trip is:
Answer:
Average speed= 58.3 mi/hourStep-by-step explanation:
The average speed is defined as the total distance traveled divided by the total time taken.
from A to B
distance= 100 miles
speed= 50 mi/h
speed= distance/time
time= distance/speed
time= 100/50
time= 2 hours
from B to C
distance= 100 miles
speed= 70 mi/h
speed= distance/time
time= distance/speed
time= 100/70
time= 10/7 hours
Average speed= total distance/total time
total distance= 200 mile
total time= 2+10/7= (14+10)/7= 24/7
Average speed= 200/24/7
Average speed= 200*7/24
Average speed= 1400/24
Average speed= 58.3 mi/hour
a line graph is used when an independent variable is
A line graph is used when an independent variable is a continuous quantitative variable. A line graph is a type of chart used to represent data over time with the help of lines connecting various data points.
A line graph, also known as a line plot or a curve graph, is a type of graph used to display data that changes over time. The horizontal axis (x-axis) in a line graph shows the independent variable, whereas the vertical axis (y-axis) shows the dependent variable.Line graphs are utilized to show changes in data over time, and they can represent numerous data sets on one graph. When the data points are connected, the lines on a line graph provide a visual representation of how the data varies over time.To know more about line graph, visit:
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Please help me !! Ill difinately compensate you for your effort PLEASE!!! and if you don't know the answer then please be generous and let the brains answer it! THANK YOU!!
Answer:
When I squared the binomials, they became quadratic trinomials.
(Not sure if this is the kind of answer you want, sorry if it's not!)
(x-3)² = x² - 6x + 9
(x+2)² = x² + 4x + 4
(x-4)² = x² - 8x + 16
(x+5)² = x² + 10x + 25
How do you solve 5(2x-1)=9x+2 as a proof?
what os the y-value when x=0
a. -2
b. 2
c. 0
d. 1
Answer:
the value of y when x = 0 is 1 (0, 1)
Step-by-step explanation:
The average daily balance is the mean of the balance in an account at the end of each day in a month. The following table gives the dates and amounts of the transactions in Elliott's account in June.
Day of June Transaction type Transaction amount (in dollars)
1
11 Starting balance
1223
12231223
10
1010 Deposit
615
615615
15
1515 Withdrawal
−
63
−63minus, 63
22
2222 Withdrawal
−
120
−120minus, 120
There are
30
3030 days in June.
What is the average daily balance of Elliott's account for the month of June?
Answer:
the daily balance of Elliott's account for the month of June is $1497.37.
Step-by-step explanation:
Day 1: 1223
Day 10: 1838 (1223+615)
Day 15: 1775 (1838 - 63)
Day 22: 1655 (1775 - 120)
To find the average daily balance, we add up the balances for each day and divide by the number of days in June:
prime factors of 576
Answer:
what do you mean im confused
Step-by-step explanation:
Answer:
22222233
Step-by-step explanation:
The daily return of the stock XYZ is normally distributed with a mean of 20 basis points and a standard deviation of 40 basis points. Find the probability of making a gain that amounts for more than one standard deviation from the mean on any given day.
The probability of making a gain that exceeds one standard deviation from the mean for stock XYZ on any given day is approximately 31.73%.
The probability of making a gain that amounts to more than one standard deviation from the mean on any given day for the stock XYZ can be found using the properties of the normal distribution.
To calculate this probability, we need to find the area under the normal distribution curve beyond one standard deviation from the mean in the positive direction. In this case, the mean (μ) is 20 basis points and the standard deviation (σ) is 40 basis points.
Using the standard normal distribution, we can convert the value one standard deviation above the mean (μ + σ) to a z-score by subtracting the mean and dividing by the standard deviation.
Z = (X - μ) / σ
Z = (μ + σ - μ) / σ
Z = σ / σ
Z = 1
Once we have the z-score, we can look up the corresponding probability using a standard normal distribution table or a statistical calculator.
The area under the normal curve beyond one standard deviation from the mean in the positive direction corresponds to approximately 0.1587 or 15.87%.
Therefore, the probability of making a gain that amounts to more than one standard deviation from the mean on any given day for stock XYZ is approximately 0.1587 or 15.87%.
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Find the probability of getting a doublet in a throw of a pair of dice.
Question:
Find the probability of getting a doublet in a throw of a pair of dice.
Answer:
The probability is 1 out of 6.
Explanation:
There are a total of 6 possibilities that you get a doublet, which is {1, 1}, {2, 2}, {3, 3}, {4, 4}, {5, 5}, and {6, 6}.
The total possibilities of throwing a dice are 6 possibilities for the first dice, and 6 possibilities for the second dice. Which results in a total of 6 × 6 = 36 possibilities available.
Probability = Possibilities of getting doublet ÷ Total possibilities = 6 ÷ 36 = 1 ÷ 6.
Hopefully this answer will help you.
A major fishing company does its fishing in a local lake. The first year of the
company's operations it managed to catch 130,000 fish. Due to population decreases,
the number of fish the company was able to catch decreased by 4% each year. How
many total fish did the company catch over the first 13 years, to the nearest whole
number?
The company caught approximately 1,461,880 fish over the first 13 years. We can calculate it in the following manner.
Since the number of fish caught by the company decreases by 4% each year, the number of fish caught in the second year will be 96% of the first year, and the number of fish caught in the third year will be 96% of the second year, and so on.
To find the total number of fish caught by the company over the first 13 years, we can use the following formula:
Total fish caught
\(= 130,000 + 0.96130,000 + 0.96^{2130,000} + ... + 0.96^{12*130,000}\)
Using the formula for the sum of a geometric series, we can simplify this to:
Total fish caught = 130,000 * (1 - 0.96¹³)/(1 - 0.96)
Plugging in the values and solving for the total fish caught, we get:
Total fish caught = 130,000 * (1 - 0.96¹³)/(1 - 0.96) = 1,461,880
Therefore, the company caught approximately 1,461,880 fish over the first 13 years.
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