Need 30,529.22 pounds to buy a Lexus that costs 5,000,000 yen
To buy a Lexus that costs 5,000,000 yen, you would first need to convert the yen to pounds. You can find the updated exchange rate online.
And based on March 2, 2023, here is the current exchange rate for 1 yen = 0.0061 pounds. Therefore, you would need to multiply the cost of the Lexus in yen by the exchange rate to get the cost in pounds:
5,000,000 yen * 0.0061 pounds = 30,529.22 pounds
So you would need 30,529.22 pounds to buy a Lexus that costs 5,000,000 yen.
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Which fraction is equivalent to 3/8
Answer:
6/16
Step-by-step explanation:
3/8 x 2 = 6/16
HELP NEEDED ASAP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!
Consider function h.
What is the range of function h?
Answer: (-\(\infty\), \(\infty\))
Step-by-step explanation:
The following graph is a graph with a slant asymptote, which is an asymptote that isn't horizontal or vertical (i.e. doesn't have a slope of 0 or \(\infty\)).
To review, an asymptote is a line that the graph of a function approaches, but will never touch. Normally, a horizontal asymptote would limit the range as the graph can never cross a certain y-value.
However, there is no such y-value that must not be crossed in a slant asymptote; therefore, there is not limitation to the range. The range would be all real numbers.
Hence, the range of function h is (-\(\infty\), \(\infty\)).
find the magnitude and direction (in degrees) of the vector. (assume 0° ≤ < 360°. round the direction to two decimal places.) v = 8, 6
The magnitude of the vector v is 10 and the direction is approximately 36.87°
The given vector v = (8, 6).
Magnitude of the vector is found using the Pythagorean Theorem as:
Magnitude of v = √(8² + 6²)= √(64 + 36)= √100= 10
Therefore, the magnitude of the vector is 10.
Direction of the vector is found using the following formula:
Direction of v = tan⁻¹(y/x)
where x is the horizontal component and y is the vertical component of the vector.
Therefore, direction of v = tan⁻¹(6/8) = tan⁻¹(0.75) ≈ 36.87°
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Select all the expressions which have 3 as the greatest common factor of the terms.
A. b + 3 + 6c
B. 27n + 66p
C. 38 – 9j + 6k
D. 12x + 75y + 21
E. –32 – 24z
There are A to E equations. The equation B and D area the equations have 3 as the greatest common factor.
Given that,
There are A to E equations.
We have to find that which equation is having 3 as the greatest common factor.
To check the the greatest common factor we have to multiply by 3.
A. b+3+6c
Divide by 3.
b/3+3/3+6c/3
b/3+1+2c
The equation does not have 3 as the greatest common factor.
B. 27n+66p
Divide by 3
27n/3+66p/3
9n+22p
The equation have 3 as the greatest common factor.
C.38-9j+6k
Divide by 3
38/3-9j/3+6k/3
38/3-3j+2k
The equation does not have 3 as the greatest common factor.
D.12x+75y+21
Divide by 3
12x/3+75y/3+21/3
4x+25y+7
The equation have 3 as the greatest common factor.
E. -32-24z
Divide by 3
-32/3-24z/3
-32/3-8z
The equation does not have 3 as the greatest common factor.
Therefore, The equation B and D area the equations have 3 as the greatest common factor.
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The length of a rectangle is represented by (2x2−5x+5)cm and the width is represented by (x2+4x−3)cm. What is the representation of the perimeter
Answer: \(6x^2-2x+4\)
Step-by-step explanation:
Given
The length of a rectangle is given by
\(l=2x^2-5x+5\)
and the breadth is given by
\(w=x^2+4x-3\)
Perimeter is the sum of the sides of rectangle
\(\therefore \text{Perimeter P= }2(2x^2-5x+5+x^2+4x-3)\\\Rightarrow P=2(3x^2-5x+4x+5-3)\\\Rightarrow P=2(3x^2-x+2)\\\Rightarrow P=6x^2-2x+4\)
Thus, the perimeter is given by \(6x^2-2x+4\).
Find two integers with a product of −40 and a sum of −3.
Find all the prime numbers in each of the following
decades.
2021-2030
Answer:
2027 and 2029
Step-by-step explanation:
am not sure if this is what you meant
the prime numbers in the decade from 2021 to 2030 are: 2023, 2027, and 2029.
To find all the prime numbers in the decade from 2021 to 2030, we need to check each number in this range and determine if it is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Let's examine each number in the range from 2021 to 2030:
2021: Not a prime number (divisible by 7 and 17)
2022: Not a prime number (divisible by 2 and 101)
2023: Prime number (divisible only by 1 and 2023)
2024: Not a prime number (divisible by 2, 4, 8, 253, 506, and 1012)
2025: Not a prime number (divisible by 5 and 405)
2026: Not a prime number (divisible by 2, 3, 11, 61, and 122)
2027: Prime number (divisible only by 1 and 2027)
2028: Not a prime number (divisible by 2, 4, 7, 14, 31, 62, 127, and 254)
2029: Prime number (divisible only by 1 and 2029)
2030: Not a prime number (divisible by 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, and 435)
In summary, the prime numbers in the decade from 2021 to 2030 are: 2023, 2027, and 2029.
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Solve the following inequality: 38 < 4x+3+7 – 3x.
a. x < 28
b. x > 28
c. x < 4
d. x > 4
To solve the given inequality, first we have to simplify the given inequality.38 < x + 10 After simplification we get, 38 - 10 < x or 28 < x.
The correct option is B.
The given inequality is 38 < 4x + 3 + 7 - 3x. Simplify the inequality38 < x + 10 - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. The given inequality is 38 < 4x + 3 + 7 - 3x. To solve the given inequality, we will simplify the given inequality.
Simplify the inequality38 < x + 10 - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. Combine the like terms on the right side and simplify38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18.So, the answer is x > 28. In other words, 28 is less than x and x is greater than 28. Hence, the answer is x > 28.
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You are a delivery manager at MN Company, a wholesale lollipop. The
company employs 2 drivers and owns 1 van (2 shifts: day shift and night shift) Each van can deliver up to 5,000 lollipops a shift. The company has standing orders for 8,500 lollipops a day, but for the Kindergarten opening, the company expects to increase sales 150% more. For the new expectation,
how many drivers and vans do you need?
For the new expectation, 3 drivers and 2 vans are needed.
To determine, for the new expectation, how many drivers and vans do you need, the following calculation must be performed:
8500 x 1.5 = 12750 5000 x 3 = 15000Therefore, for the new expectation, 3 drivers and 2 vans are needed.
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What is the domain of f x )=- 3?
The domain of the function f(x) = -2 would be \(-\infty \: < x < \infty \:\).
What is the domain of the function?
The domain of a function is the set of all input values that the function is defined for.
The domain of the function f(x) = -3 is the set of all real numbers. This is because the function f(x) = -3 is defined for all real numbers x, and for any real number x, the output value of the function f(x) is always -3.
Hence, the domain of the function f(x) = -2 would be \(-\infty \: < x < \infty \:\).
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When we are approximating an irrational number we place the number under the square root between two consecutive
Answer:
Is this a t or f?
Step-by-step explanation:
PLEASE HELP
If m
< AOC = 85°, m ZBOC = 2x + 10, and m < AOB = 4x - 15, find the degree measure of
< BOC and < AOB. The diagram is not to scale.
Answer:
therefore, option B is correct
hope this answer helps you dear...take care!
hiii please help i’ll give brainliest if you give a correct answer ty!!
Answer: 1.5 hours
Step-by-step explanation:
14 times in 21 hours
1 time would be 21 ÷ 14
21 ÷ 14 = 1.5
It took 1.5 hours to orbit the earth 1 time
Hope I helped!
19
Points Scored
74 82 84
122 193
21
53
103
108 116
a. Find the range and interquartile range of the data.
The range is [172 points.
The interquartile range is 42 points.
93
b. Use the interquartile range to identity the outlier(s) in the data set. Find the range and the interquartile range of the data set without
the outier(s).
The outier is 21 points.
The range without the outlier is 140 points
The interquartile range without the outlier is points.
DELL
calculator
check answer
Therefore, the range is 172 points and the interquartile range is 42 points. Therefore, the range without the outlier is 140 points and the interquartile range without the outlier is 40 points.
What is range?In statistics, the range is the difference between the largest and smallest values in a dataset. It is a measure of dispersion that indicates the spread of the data. The range provides a quick and simple way to get an idea of the variability of the data, but it can be affected by outliers and is therefore not always a reliable measure of dispersion. To calculate the range, you simply subtract the smallest value from the largest value in the dataset.
Here,
a. To find the range, we subtract the smallest value from the largest value:
Range = 193 - 21 = 172
To find the interquartile range, we first need to find the first and third quartiles.
Arrange the data in order from smallest to largest:
21, 53, 74, 82, 84, 103, 108, 116, 122, 193
Find the median (middle value) of the lower half of the data (Q1):
Q1 = median(21, 53, 74, 82, 84) = 74
Find the median (middle value) of the upper half of the data (Q3):
Q3 = median(103, 108, 116, 122, 193) = 116
Subtract Q1 from Q3 to get the interquartile range:
IQR = Q3 - Q1 = 116 - 74 = 42
b. To identify the outlier(s), we can use the rule that any value less than Q1 - 1.5 x IQR or greater than Q3 + 1.5 x IQR is considered an outlier.
Q1 - 1.5 x IQR = 74 - 1.5 x 42 = 11
Q3 + 1.5 x IQR = 116 + 1.5 x 42 = 181
The value 21 is less than the lower bound of 11, so it is an outlier.
To find the range and interquartile range without the outlier, we need to remove it from the data set:
74 82 84 122 193 53 103 108 116
The range without the outlier is:
193 - 53 = 140
To find the interquartile range without the outlier, we need to find the first and third quartiles of the new data set:
Q1 = median(53, 74, 82, 84, 108) = 82
Q3 = median(116, 122, 193) = 122
IQR = Q3 - Q1 = 122 - 82 = 40
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a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year
A function \(P(t) = 170.(1.30)^t\) that gives the deer population P(t) on the reservation t years from now
We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.
We could see the deer population grow exponentially since each year there will be 30% more than last year.
Since we know that an exponential growth function is in form:
\(f(x) = a*(1+r)^x\)
where a= initial value, r= growth rate in decimal form.
It is given that a= 170 and r= 30%.
Let us convert our given growth rate in decimal form.
\(30 percent = \frac{30}{100} = 0.30\)
Upon substituting our given values in exponential function form we will get,
\(P(t) = 170.(1+0.30)^t\)
⇒ \(P(t)= 170.(1.30)^t\)
Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.
Complete Question:
There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.
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how far away is {-4,-6} away from {5,-6} on a coordinate grid
Answer:
(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.
Step-by-step explanation:
Use the distance formula:
\(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:
\(d = \sqrt{(5-(-4))^2+(-6-(-6))^2}\) \(d=\sqrt{(5+4)^2+(-6+6)^2}\) \(d=\sqrt{(9)^2+(0)^2}\) \(d=\sqrt{9^2}\) \(d=9\)The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.
Angie used 4 apples and 5 strawberries in her fruit salad. Salim used 7 apples and 9 strawberries. Did Angie and Salim use the same ratio of apples to strawberries? If not, who used the greater ratio of apples to strawberries?
Answer:
We can write a ratio between two quantities, x and y, as:
x to y.
To find if two ratios:
"a to b" and "c to d" are equal, we need to see if the quotientes:
a/b and c/d are equal.
Here we know that the ratios are:
4 apples to 5 strawberries, this gives the quotient 4/5 = 0.8
7 apples to 9 strawberries, this gives the quotient 7/9 = 0.78
So the quotients are different, which means that the ratios are not equal.
Now we want to see who used a greater ratio of apples to strawberries.
notice that in the numerator we used the number of apples, so as larger is the quotient, larger is the ratio of apples to strawberries.
We can see that the quotient of Angie is larger, then Angie used the greater ratio of apples to strawberries.
In a group of seventeen people, five play guitar and six play piano. Only two people play both piano and guitar. Which two-way table represents the data?
Answer: Picture Below
Step-by-step explanation:
Took the test
What is the solution to –2|2.2x – 3.3| = –6.6?
x = –3
x = 3
x = –3 or x = 0
x = 0 or x = 3
Answer:
D
Step-by-step explanation:
HELP NOW PLZ 20 POINTS FOR BRAINLIEST Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant! (Recall: Standard Form of a quadratic equation is Ax^2 + Bx + C ). You need to choose a value for A, B, and C that satisfies each of the following conditions. You can use a value of 0 for B for no more than 1 of the 5 questions! Step 2: Solve each of the equations you create. YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT FOR THIS STEP! Write your Exact answer in simplest form AND if necessary, round your estimate to the nearest tenth. 1) Equation 1 should represent a parabola that opens up and has a negative y-intercept. Equation 1: ____________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 2) Equation 2 should represent a parabola that opens down and has a negative y- intercept. Equation 2:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 3) Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. Equation 3:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 4) Equation 4: You decide what type of parabola you would like to create by answer the following questions: Does your parabola open up or down? _______________ Is there a vertical stretch or vertical compression? _______ What is the y-intercept? __________ Equation 4: ____________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 5) Write a quadratic equation that can only be solved using the quadratic formula. Equation 4: _________________________________________________________________ Show your work for how you use the quadratic formula to solve this equation:
Step-by-step explanation:
Equation 1: \(3x^{2} +7x-6\)
Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.
Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.
1. The parabola should open upwards: a> 0
2. \(3x^2+7x-6\) (a>0), y-int is negative (0s for x's)
3(0)^2 + 7(0) -6
y= -6
Step 2:
1. Factor the original equation: (3x-2)(x+3)
x=2/3, -3
2. Strategy used (factor by grouping)
Equation 2: -\(x^{2}\) + 3x - 6
Equation 2 should represent a parabola that opens down and has a negative y-intercept.
Parabola that opens down = a<0
Ax^2 + Bx + C
-\(x^{2}\) + 3x - 6
Negative y-intercept: -(0)^2 +3(0) -6 = y= -6
Strategy to solve: Quadratic formula
Why? - This equation doesn't factor cleanly.
Show your work:
a= -1 b= 3 c= -6
Write the quadratic formula down (\(x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}\)) ± not just +
Show step, solve.
x= 1.5 + 1.9365i
Equation 3:
Sorry, I can't do this.
Equation 4 :\(x^{2} -1\)
You decide.
Alright, easy parabola.
1. Does parabola open up or down. UP
2. Is there a vertical stretch or compression? NO
3. What is the y-intercept- (0,-1)
\(x^{2} -1\)
Strategy: Simple factoring patterns (Difference of squares) -
(x+1)(x-1)
x = + 1
Show work: x^2 is square of x,
Equation 5: \(x^{2} -3x+15\)
x^2−3x+15
a=1 b= -3 c=15
(\(x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}\)) ± not just +
Good luck! Sorry that I couldn't do equation 3, vertical stretches are not my thing.
I need help so fast please!
Factor completely, then place the factors in the proper location on the grid.
b2 - 7b + 12
Answer:
(b - 4)(b - 3)
Step-by-step explanation:
b² - 7b + 12
consider the factors of the constant term (+ 12) which sum to give the coefficient of the b- term (- 7)
the factors are - 4 and - 3 , since
- 4 × - 3 = + 12 and - 4 - 3 = - 7 , then
b² - 7b + 12 = (b - 4)(b - 3)
What are the coordinates of the midpoint of segment whose endpoints are A(-2,7) and B(4,-2)?
The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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why is it recommended that you do not deviate too far from the mean value of x when using a historical regression equation to predict a future value of y?
It is essential that you do not depart too much from overall mean value of x when predicting a future value of y because the variance of the estimate increases as we deviate, increasing uncertainty.
Define the term historical regression?Regression analysis is a method being used finance, investments, and other disciplines to evaluate the strength and character of a relationship between a single dependent variable (typically represented by Y) and a set of other factors like independent variables.
The most frequent version of this technique is linear regression, also known as simple regression as well as ordinary least squares (OLS). Linear regression determines the linear relationship of two variables using a best-fit line. Linear regression is hence represented graphically by a straight line, with the slope specifying how a change in one variable affects a change the other.Thus, when utilizing a historical regression models that predict a future value of y, it is advised to ensure that you not deviate too drastically from the mean value of x because our estimate's variance increases as we move further away from the mean, implying greater uncertainty.
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A side of the triangle below has been extended to form an exterior angle of 117 deg Find the value of x.
Answer:
x=149
Step-by-step explanation:
If dr. robinson rejects the null hypothesis after observing a test statistic which exceeds the critical value at the .05 level, there is_____________________________________________.
If dr. Robinson rejects the null hypothesis after observing a test statistic that exceeds the critical value at the .05 level, there is a 5% chance that the null hypothesis is actually true.
What is a Null Hypothesis?This refers to the hypothesis that there is no significant difference between specified populations, where any observed difference is due to sampling or experimental error.
Hence, we can see that if dr. Robinson rejects the null hypothesis after observing a test statistic that exceeds the critical value at the .05 level, there is a 5% chance that the null hypothesis is actually true.
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which two dimensial shape can be roatated about one of its edges to create a cone
Answer:
The Triangle
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
consider rolling two dice. which of the following describe two events that are collectively exhaustive? multiple select question. event 1: a value of 6 or more. event 2: a value of 8 or less. event 1: a value of 9 or more. event 2: a value of 7 or less. event 1: a value of 7 or more. event 2: a value of 6 or less. event 1: rolling an even number. event 2: rolling an odd number.
Two events that are collectively exhaustive are event 1: a value of 6 or more and event 2: a value of 7 or less.
These events are collectively exhaustive because the events cover the entire possible range of values of the dice rolls. If one of these events does not occur, then the other event must occur. This means that the sum of the dice rolls is either 6 or less, or it is greater than 6. This means that the sum of the dice rolls is either 7 or more, or it is less than 7.
Another set of events that are collectively exhaustive are event 1: rolling an even number and event 2: rolling an odd number. These events are collectively exhaustive because the events cover the entire set of possible outcomes of rolling two dice. If one of these events does not occur, then the other event must occur. This means that the sum of the dice rolls is either even or odd. This means that the sum of the dice rolls is not both even and odd at the same time.
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