The sequence of transformation is;
D; a reflection over a line through point P followed by a dilation centered at point P
Here, we want to get the transformation type that could take PQRS to PTUV
As we can see, PQRS is bigger, so there needs to be a dilation done so as to resize it for it to match the size of PTUV
However, before we can have a dialtion, we need a reflection
By reflecting over a line drawn through P, we can get the shape of PQRS flipped over its side to match the positioning of PTUV
Suppose that x is normally distributed with a mean of 30 and a standard deviation of 3. What is P(27.42 ≤ x ≤ 34.08)?
The answer to this question is 0.6826, or 68.26%. To calculate this probability, we need to use the z-score formula.
What is z-score formula?The z-score formula is a statistical measurement that is used to identify how far a raw score is from the mean score of a population. It is calculated by subtracting the population mean from an individual raw score and then dividing the difference by the population standard deviation.
This formula allows us to convert a given value into a standardized score relative to the mean and standard deviation of the normal distribution. In this case, the z-score for 27.42 is -1 and the z-score for 34.08 is 1.
We can then use the cumulative normal distribution function to calculate the probability of x being between 27.42 and 34.08. This function allows us to calculate the area under the normal distribution curve between two given points. Since the normal distribution is symmetrical, the area under the curve between -1 and 1 is 0.6826 or 68.26%. This is the probability of x being between 27.42 and 34.08.
To summarize, in order to calculate the probability of x being between 27.42 and 34.08, we need to calculate the z-scores of these two values and then use the cumulative normal distribution function to calculate the area under the curve between the two z-scores. The area under the curve between -1 and 1 is 0.6826 or 68.26%, which is the probability of x being between 27.42 and 34.08.
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Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship. The retail price of a particular smartphone and the number of units sold at that price
Answer:
no correlation
Step-by-step explanation:
The price of the smartphone is fixed beforehand, therefore price does not depend upon the number of units sold.
Hence, there is no correlation between the two given variables.
Hence, no correlation would be the answer.
an=26-6n find the 5th term in the sequence
5th term of the sequence is -4
To find the 5th term in the sequence, we need to substitute n = 5 into the expression given
\(a_5\) = 26- 6( 5)
\(a_5\) = 26- 30
\(a_5\) = -4
The formula given, an = 26- 6n, represents an computation sequence with a common difference of-6.
This means that each term in the sequence is attained by obtain 6 from the former term.
It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the matching value of n.
In this case, we were asked to find the 5th term, so we substituted n = 5 into the formula to get a5 = -4.
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Complete the statement.
The point
1) is on the line y = -2x + 9.
Answer:this would be 16
Step-by-step explanation:It would be because initially it started at x now its not.
Along with calculating the ratios, what else is needed for your report?
options:
Making observations and identifying trends that are suggested by the ratio analysis
Identifying the factors that drive the trends in the ratios
Both of the above
Ratios that help determine whether a company can access its cash and pay its debts that mature in less than a year are called ________ ratios.
These ratios, which help determine how efficiently a firm is using its assets to generate sales are called _______ ratios.
Ratios that help assess a company’s ability to service the interest and repayment obligations on its long-term debt and the degree to which it uses borrowed versus invested financial capital are called _________
Answer:
Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial
statements:
⚫Balance Sheet
•Income Statement
⚫Statement of Cash Flows
.5 Categories
The five (5) major categori in the financial ratios list include the following:
•Liquidity Ratios
•Activity Ratios
•Debt Ratios
•Profitability Ratios
•Market Ratios
Step-by-step explanation:
Sana makatulong
Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.
Explanation:In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:
Ratios that help determine whether a company can access its cash and pay its debts that mature in less than a year are called Liquidity Ratios.Ratios which help determine how efficiently a firm is using its assets to generate sales are called Activity Ratios.Ratios that help assess a company’s ability to service the interest and repayment obligations on its long-term debt and the degree to which it uses borrowed versus invested financial capital are called Leverage Ratios.
However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.
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Which of the following sets of numbers is a Pythagorean triple?
42, 40, 82
42, 40, 58
41, 41, 58
40, 41, 57
HELP QUICK PLEEZ
Answer:
42,40,58
Step-by-step explanation:
How many solutions does the system of equations below have?
y= 3x + 4
2y -8 = 6x
Answer:
infinitely many solutions (infinite solutions)
Step-by-step explanation:
2y - 8 = 6x
+8 +8
-------------------------------
2y = 6x + 8
\(\frac{2y}{2}\) = \(\frac{6x}{2}\) + \(\frac{8}{2}\)
-------------------------------
y = 3x + 4
Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.
Brainliest? Which situation can be modeled by this graph?
Answer:
d) A ball is thrown directly upward from an initial height of 7 feet, will reach a maximum height of 19.3 ft in 0.9 s, and finally will hit the ground in 2 s.
Step-by-step explanation:
The y-intercept of the curve is at (0, 7) so when t = 0, the ball is 7 ft above the ground. Therefore, the ball is thrown from an initial height of 7 feet.
The maximum point of the curve is (0.9, 19.3) which means the maximum height is 19.3 feet is reached after 0.9 seconds.
Finally, the curve intercepts the x-axis at t = 2, which means at 2 s the ball's height is zero, i.e. it hits the ground at 2 s.
For the following polynomial expression, find its number of terms and degree:
Answer:
• Number of terms: 4
,• Degree: 3
Explanation:
Given the polynomial:
\(8x^3y^2+3x^2y^2+2xy-y\)(a)The terms in the polynomial are:
\(\begin{gathered} 8x^3y^2 \\ 3x^2y^2 \\ 2xy \\ -y \end{gathered}\)Therefore, the number of terms in the polynomial is 4.
(b)The degree of the polynomial is the highest power of the variables in the polynomial.
• The highest power = 3
Therefore, the degree of the polynomial is 3.
when solving a system of equations by elimination, there are multiple correct ways you can start. which of the following is NOT a correct first step to solve this system?
(picture included)
Answer: the 2nd one
Step-by-step explanation: you didn’t multiply the -7 by 5, therefore being wrong
Select the correct answer from each drop-down menu.
The area of the shaded square is
square inches. The length of the unshaded rectangle is
inches.
The estimated value of the length of the shaded square is
inches. The estimated value of the area of the unshaded rectangle is
square inches.
The completed statement with regards to the area of the square and the rectangle are;
The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.
What is the area of a square?The area of a square is the product of the side lengths which are congruent, therefore;
Area of a square = Side length, s × Side length, s = s²
The possible figure in the question includes;
A shaded square that is 125 square inches
An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches
Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.
Therefore;
The side length of the square = √(125) inches = 5·√5 inches
The estimated value of the side length of the square is; 5·√5 inches
The area of a rectangle = Length × Width
The length of the rectangle = 7·√5 inches
The width of the rectangle = 5·√5 inches
Therefore;
The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175
The estimated area of the unshaded rectangle is 175 square inches
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7 x what = 315?????????????
Answer:
7 × x = 315
x = 315 ÷ 7
x = 45
45 is the answer.
Answer:
45
Step-by-step explanation:
315 ÷ 7 = 45
help me please ASAP!!!!
ummmmmm you dont need the explanation and I'd rather not type but trust me its d, good luck!
How to write 1.06 in expanded form
Answer:
1+(6*.01)
Step-by-step explanation:
\(\large{\sf{Question:}} \\ \\\)
How to write 1.06 in expanded form
Solution :
1.06
\( \implies\) 1 + 0.0 + 0.06
If I have 2 hours to complete 5 chores. Then how many hours will it take me to complete 15 chores?
Answer:
6 hours
Step-by-step explanation:
5 multiplied by what equals 15? 3 because 5x3=15. Now what you do to that number you also have to do to the other. So 2x3. It equals 6 so it'll take you 6 hours to do 15 chores.
how much will a person pay for 4.5 pounds of bananas at a price of $1.25 per pound
Answer:
$5.62 it could also possibly be $5.63 if you have to round up.
Step-by-step explanation:
Answer: $5.63
Step-by-step explanation: multiply 4.5 by the price per pound.
E is the midpoint of DF. If DE = 15x and DF = 31x -11, what is DF?
Step-by-step explanation:
(31x-11)-15x=DF
DF= 16x-11
Answer:
(31x-11)-15x=DF
DF= 16x-11
Step-by-step explanation:
It should be right
Climbing Mt. Everest is not an easy task! Not only is it a difficult hike, but the Earth's atmosphere
decreases exponentially as you climb above the Earth's surface, and this makes it harder to breathe. The air
pressure at the Earth's surface (sea level) is approximately 14.7 pounds per square inch (or 14.7 psi). In
Denver, Colorado, elevation 5280 feet, the air pressure is approximately 12.15 psi.
a.) write an exponential equation
b.) what is the air press at the top of mount everest, elevation 29,000 feet?
The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is
y = 14.7 x 0.827^x
The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi
Finding exponential equation and calculating air pressureTo write an exponential equation for the relationship between the air pressure and the elevation above the Earth's surface, we can use the form y = a x b^x,
where y is the air pressure,
x is the elevation,
and a and b are constants.
We can use the data given in the problem to find the values of a and b.
Let y = air pressure (psi)
x = elevation (feet)
We know that at sea level (x = 0), y = 14.7 psi
At Denver, Colorado, elevation 5280 feet, y = 12.15 psi
We can use these two points to find the values of a and b in the equation y = a x b^x
12.15 = 14.7 x b^5280
b = (12.15/14.7)^(1/5280)
b = 0.827
a = 14.7
The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is
y = 14.7 x 0.827^x
b.) To find the air pressure at the top of Mount Everest, elevation 29,000 feet, we can substitute that value for x into the exponential equation.
y = 14.7 x 0.827^29000
y = 1.931 psi
The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi. It's worth noting that this is a very low air pressure and the human body is not able to survive with such low pressure without proper equipment.
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Help plz I will give Brainlyest
What is the perimeter of a rectangle 5cm by 8cm?
Answer:26
Step-by-step explanation:
3- 2 1/3×3/14+1 1/3÷4/5
Answer:
4.166 or 4.17 or 4 7/100
Step-by-step explanation:
Please consider giving me brainliest.
Have a good day<3 Bye!
Answer: 4.17
It is the right answer, I just checked it.
what is the length if the baseedge labeled X? Will mark brainliest if correct.
Answer:
Answer is 18
Step-by-step explanation:
\(w = 3 \frac{v}{hl} \)
w = 3(108 ÷ 18)
=3(6)
=18
A,b & c form a triangle where BAC =90 degrees AB=7.5 mm BC=16.7mm find the length of AC giving your answer rounded to 1DP
Answer:
18.3mm
Step-by-step explanation:
using pythagoras
AC = \(\sqrt{7.5^{2} + 16.7^{2} }\)
AC = 18.3 mm
can someone help me with this question, please?
Answer:
which question?
Step-by-step explanation:
I'm confused on what your trying to solve
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
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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Help pls i dont understand this
The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.
What is the percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.
The total number of water bottles the company manufactured in February, March, and April.
In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.
Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.
This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.
Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.
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What is the slope of a line that is parallel to the graph of 5x+4y=6 text ? I DON'T NEED AN EXPLANATION JUST THE ANSWER QUICK
Given: The equation below
\(5x+4y=6\)To Determine: The slope of the line that is parallel to the graph of the given equation
Solution
Please note that two lines are parallel if their slopes are equal. Therefore, a line that is parallel to the given equation would have the same slope to the given
The slope can calculated as shown below
\(\begin{gathered} Slope-intercept\text{ form of a line is} \\ y=mx+c \\ m=slope \\ c=intercept\text{ on y-axis} \\ So, \\ 5x+4y=6 \\ 4y=6-5x \\ \frac{4y}{4}=\frac{6}{4}-\frac{5x}{4} \\ y=\frac{3}{2}-\frac{5}{4}x \\ y=-\frac{5}{4}x+\frac{3}{2} \\ Hence,slope\text{ is} \\ m=-\frac{5}{4} \end{gathered}\)Hence, the slope of a line parallel to the graph of 5x + 4y = 6 is - 5/4
Point Q lies on ST , where point S is located at (-2, -6) and point T is located at (5,8).
If SQ: QT = 5: 2, where is point Q on ST ?
Select the point, and then select a place on the coordinate grid to plot point Q.
Answer: (3,4)
(X,Y) (X1- Y1)+ (X2- Y2)
The coordinate of point Q is (3,4).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
Coordinate point Q can be given by interception formula that state
Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂).
x = [m(x₂) + n(x₁)]/(m + n)
And,
y = [m(y₂) + n(y₁)]/(m + n)
So,
x = [5(5) + 2(-2)]/(5 + 2)
x = 3
Similarly
y = [5(8) + 2(-6)]/(5 + 2)
y = 4
Hence "The coordinate of point Q is (3,4)".
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The formula to convert from Celsius to Fahrenheit is
F=95C+32 . Use this formula to complete the statements below. Round your answers to the nearest tenth as needed.
If the temperature is 78 degrees Fahrenheit , that is equivalent to
degrees Celsius.
If the temperature is 41 degrees Celsius, that is equivalent to
degrees Fahrenheit.
The temperature in Celsius will be 25.5556 °C and he temperature in degree Fahrenheit will be 105.8 °F, respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function to convert temperature from Celsius to Fahrenheit is F=(9/5)C+32.
A.) Given that If the temperature is 78 degrees Fahrenheit. Therefore, the temperature in degree Celsius will be,
F = (9/5)C + 32
78 = (9/5)C + 32
78 - 32 = (9/5)C
46 = (9/5)C
C = (46 × 5)/9
C = 25.5556
Hence, the temperature in Celsius will be 25.5556 °C.
B.) Given that the temperature is 41 degrees Celsius. Therefore, the temperature in degree Celsius will be,
F = (9/5)C + 32
F = (9/5)41 + 32
F = 73.8 + 32
F = 105.8
Hence, the temperature in degree Fahrenheit will be 105.8 °F.
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log2(1/128)=x, then x =
The value of x will be -7. The expression is solved using the identity.
What is the definition of a logarithm?Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.
Given expression;
\(\rm log_2(\frac{1}{128}) = x\)
The expression is solved using the identity as;
\(\rm log_e1 = x\\\ e^x=1\)
Apply the identity;
\(\rm log_2(\frac{1}{128}) = x \\\\ 2^x = \frac{1}{128}\\\\ 2^x = \frac{1}{2^7} \\\\ 2^x = 2^{-7} \\\\ x = -7\)
Hence the value of x will bed -7.
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