Answer:
£48
Step-by-step explanation:
£25 = 450 rubles
We need to know how many rubles you can get from £1.
£25 = 450
£ = 450/25
£ = 18
So, with £1 you get 18 rubles.
To know how many £'s you would need for 864 rubles, you need to divide 864 by 18.
£ = 864/18
£ = 48
y=2x^2+2x-4 find the vertex and explain why
Answer:
\(( - 0.5 , - 4.5 )\)
Step-by-step explanation:
Rewrite the equation in vertex form.
Complete the square for
\(2 {x}^{2} + 2x - 4\)
Use the form
\(a {x}^{2} + bx + c\)
to find the values of a, b, and c.
a = 2
b = 2
c = −4
Consider the vertex form of a parabola.
\(a(x + d) ^{2} + e\)
Find the value of d using the formula
\(d = \frac{b}{2a} \)
\(d = \frac{1}{2} \)
Find the value of e using the formula
\(e = c - \frac{ {b}^{2} }{4a} \)
\(e = - \frac{9}{2} \)
Substitute the values of a, d, and e into the vertex form
\(2(x + \frac{1}{2} ) ^{2} - \frac{9}{2} \)
Set y equal to the new right side.
\(y = {2(x + \frac{1}{2}) }^{2} - \frac{9}{2} \)
Use the vertex form,
\(y = a(x - h) ^{2} + k\)
to determine the values of a, h, and k.
a = 2
h = -1/2
k = -9/2
Find the vertex (h,k).
\(( - \frac{1}{2} , - \frac{9}{2} )\)
Determine the surface area of a right circular cone that has a slant height of 4 mm and aradius of 3 mm? Round your answer to the nearest whole.
The surface area of a right circular cone is computed as follows:
\(SA=\pi rs+\pi r^2\)where r is the radius and s is the slant height of the cone.
Substituting with r = 3 mm and s = 4 mm, we get:
\(\begin{gathered} SA=\pi\cdot3\cdot4+\pi\cdot3^2 \\ SA=12\pi+9\pi \\ SA=21\pi \\ SA\approx66\text{ mm}^2 \end{gathered}\)f(x) = x² + 6x-2, g(x) = x-6, find f(g(4)) and (gof)(-4).
Answer:
f(g(4)) = -10
(g o f)(-4) = -16
Step-by-step explanation:
Function composition is an operation where one or more functions are substituted into another function.
Given functions:
\(\begin{cases}f(x)=x^2+6x-2\\g(x)=x-6\end{cases}\)
The given composite function f(g(4)) means to substitute the function g(4) in place of the x in function f(x). The function g(4) is the value of function g(x) when x = 4.
\(\begin{aligned}f\left(g(4)\right)&=\left(g(4)\right)^2+6\left(g(4)\right)-2\\&=\left(4-6\right)^2+6\left(4-6\right)-2\\&=\left(-2\right)^2+6\left(-2\right)-2\\&=4-12-2\\&=-8-2\\&=-10\end{aligned}\)
The given composite function (g o f)(-4) means to substitute the function f(x) in place of the x in function g(x), then substitute x = -4 into the resulting function.
\(\begin{aligned}\left(g \circ f \right)(-4)&=g\left(f(-4)\right)\\&=\left(f(-4)\right)-6\\&=((-4)^2+6(-4)-2)-6\\&=(16-24-2)-6\\&=-10-6\\&=-16\end{aligned}\)
Let f(x) = 7x +5 and g(x) = x^2. Perform each function operation and then find the domain of the results.
10. (f - g)(x)
12. ( f * g)(x)
14. g/f(x)
Answer:
I'm pretty sure it's 12) ( f * g) (x)
Step-by-step explanation:
Let me know if that's wrong and I'll do my best to fix it!
12. The second of three numbers is one less than the first. The third
number is 5 less than twice the second. If the third number exceeds the
first number by 12, find the three
numbers.
Answer:
The three numbers are 19, 18, and 31.
Step-by-step explanation:
The three numbers are x, y, and z.
y=x-1
z=2y-5
z=x+12
2y-5=x+12
2(x-1)-5=x+12
2x-2-5=x+12
x=19
y=18
z=31
The three numbers are 19, 18 and 31
what is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.
let the three numbers be x, y, and z.
So, according to question
The second of three numbers is one less than the first,
y = x-1
The third number is 5 less than twice the second,
z=2y-5
also, If the third number exceeds the first number by
12z=x+12
Now, equating the equations
2y-5=x+12
2(x-1)-5=x+12
2x-2-5=x+12
x=19
So, y=18 and z=31.
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Which document does one need to get permission to use a specific location for a project gmetrix.
A permit is a legal document that enables a person or a business to utilize a specific area for a project or other activity.
To obtain permission to use a specific location for a project, you may need to submit a request in writing or fill out a permission form. The exact document that you need to obtain permission will depend on the specific location and the requirements of the owner or manager of the location.
You may also need to provide information about your project, including the purpose, duration, and any potential impact on the location. Depending on the location and the nature of your project, you may also need to obtain other approvals or permits, such as building permits or environmental permits.
It is a good idea to research the requirements for using the specific location that you are interested in and to contact the appropriate authorities or individuals to find out what documents you need to obtain permission.
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I do not understand this Can you please help.
Answer: 1.7 is the answer hope this helps.
Step-by-step explanation:
Answer: Solve using proportions
Step-by-step explanation:solve for x:
1/500=x/828
my teacher needs me to write a problem and demonstrate how to do it tomorrow... any ideas for the math question?
Answer:
How to find the area?
Step-by-step explanation:
Will this work?
hope it will
thanks!
a shirt normally cost 26 pounds. the price was reduced by 25%. how much does the shirt cost now?
Answer:
19.5 pounds
Step-by-step explanation:
25% of 26 equals 6.5, so 26-6.5 is 19.5 pounds
i need help on this equation please.
9514 1404 393
Answer:
2.43 m
Step-by-step explanation:
The wavelength is the distance between crests, given as 2.43 m.
3 drinks and 2 pretzels costs $16, but 5 drinks and 5 pretzels costs $31.25. What is the price of one pretzel?
if you get pulled over what do you do?
A. Keep driving
B. get out of the car and run
C. try to hit the cops
D. tell the cops that you are a cop
E. None of the above
You will go to jail and you don't want that right? Right. So listen to the officer. Then when the time is right, break those handcuffs, push the cops on to the ground and run to the hills where no one will find you ever again.
The table shows the amount of money Tyler earns for mowing lawns. Is the
relationship a proportional relationship? Complete the explanation.
Tyler (select) charge a constant rate. The rates (select) equal because his rate
(select)
Answer:
No the rate of dollars per lawn is not constant
PLEASE MARK ME AS BRAINLYEST
Step-by-step explanation:
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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Suppose d varies directly as f, and d varies inversely as g. Find g when d = 6 and f = -7, if g = 12 when d = 9 and f = 3.
\(\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\begin{array}{llll} \textit{"d" varies directly}\\ \textit{with "f" and}\\ \textit{inversely with "g"} \end{array}\qquad d=\cfrac{kf}{g}\hspace{5em}\textit{we also know that} \begin{cases} g=12\\ d=9\\ f=3 \end{cases} \\\\\\ 9=\cfrac{k(3)}{12}\implies \cfrac{12}{3}\cdot 9=k\implies 36=k\hspace{9em} \boxed{d=\cfrac{36f}{g}} \\\\\\ \textit{when d=6 and f=-7, what's "g"?}\qquad 6=\cfrac{36(-7)}{g} \\\\\\ g=\cfrac{36(-7)}{6}\implies g=-42\)
can someone awnser the following screenshot
The answer is 23v
steps-
remove the parentheses
2x7v+9v
multiply the number
2x7=14+19v
add them
14v+19v=23v
Assume you have a normal distribution with a mean of 65 and a standard deviation of 13. Find the Z-Score of 72, rounding your answer to the nearest HUNDREDTH.
STEP - BY - STEP EXPLANATION
What to find?
The z- score of 72
Given:
mean (μ) = 65
standard deviation (σ) = 13
x = 72
Step 1
Recall the z- score formula.
\(z=\frac{x-\mu}{\sigma}\)Step 2
Substitute the values into the formula and simplify.
\(Z=\frac{72-65}{13}\)\(=0.54\)ANSWER
0.54
URGENT! Given the three functions g, h, and p, answer the questions below by dragging the correct expression into the box provided.
The expressions are given as;
1. The factored form of g(x) is g(x) = 1/(x-6)
2. The LCD of g(x) and h(x) is (x-6)(x+8)
3. The LCD of h() and p(x) is (x-6)(8x + 32)
What are functions?Functions are simply defined as laws, equations or rules showing the relationship between two variables.
These variables are termed;
Independent variableDependent variablesFrom the information given, we have that;
g(x) = (x + 8)/x² + 2x - 48
Factorize the denominator of the function;
x²+ 8x - 6x - 48
group in pairs
x(x + 8) - 6(x + 8)
Then,
g(x) = x + 8/(x-6)(x+ 8)
g(x) = 1/(x-6)
The lowest common denominator of the functions g(x) and h(x) is;
g(x) = x + 8/(x-6)(x+ 8)
h(x) = 6x - 36/x-6
LCD = (x-6)(x+8)
The LCD of h(x) and p(x) is given as;
p(x) = x² - x - 20/8x + 32
= (x-6)(8x + 32)
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a. no, the program is not statistically significant because the results are unlikely to occur by chance. b. no, the program is not statistically significant because the results are likely to occur by chance. your answer is correct.c. yes, the program is statistically significant because the results are likely to occur by chance. d. yes, the program is statistically significant because the results are unlikely to occur by chance. part 2
The weight loss program is not statistically significant because the results are likely to occur by chance. (Option D)
What is statistical significance?Statistical significance can be used to determine whether a result is more likely the consequence of chance or an important element. Significant results simply imply that you can be sure they are true rather than that you were fortunate (or unfortunate) in the sample you used.Now,
In the given case, 7 subjects have lost around 43 lbs and there is 22% chance of getting these results with a diet that has no effect.In accordance to the definition of statistical significance, it implies that the given program is more likely the consequence of chance.As a result, we can say that in such case, the result occur by chance, i.e., they are followed by a specific probability in terms of occurrence.Hence, the given program is not statistically significant because the results are likely to occur by chance. (Option D)
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(COMPLETE QUESTION:
Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance.
In a study of a weight loss program, 7 subjects lost an average of 43 lbs. It is found that there is about a 22% chance of getting such results with a diet that has no effect.
Does the weight loss program have statistical significance?
A.No, the program is not statistically significant because the results are unlikely to occur by chance.
B.Yes, the program is statistically significant because the results are unlikely to occur by chance.
C.Yes, the program is statistically significant because the results are likely to occur by chance.
D.No, the program is not statistically significant because the results are likely to occur by chance.)
Quinton would like to send an email to a friend when he presses the send an error message appears Quainton should
1 check the imaging software
2 check the Internet
Answer:
Check the internet first, then if there is nothing wrong check the imaging software.
Step-by-step explanation:
Here is a list of numbers: -45,-21,-16,12,33,40
C) work out the sum off all numbers in the list
Answer:
To find the sum of all the numbers in the list, we can add each number together:
-45 + -21 + -16 + 12 + 33 + 40 = 59
So the sum of all the numbers in the list is 59.
Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister’s age.
Answer:
youngest 17
middle 19
oldest 21
Step-by-step explanation:
Three sisters have ages that are consecutive odd integers
youngest = x
middle = x + 2
oldest = x + 4
--------------------
The sum of the age of the youngest
x
and three times the age of the oldest
+ 3(x + 4)
is five less than five times the middle sister’s age
= 5(x + 2) - 5
-----------------------
x + 3(x + 4) = 5(x + 2) - 5
Distribute
x + 3x + 12 = 5x + 10 - 5
Combine like terms
4x + 12 = 5x - 5
Subtract 4x from both sides
12 = x - 5
Add 5 to both sides
17 = x
youngest x = 17
middle x + 2 = 19
oldest x + 4 = 21
Someone help me plz it’s fast easy plz
Answer:
(2,3,4)
First you take the exponent and times 2 by two then you get four then you subtract the 4 from the 1 and you get three then group thennumbers that gotten used
Let A be a square matrix. It is used in the dynamic system: Az = I2+1 You are given the three eigenvalues of A: λ = 1.02 λ 2 = 0.2 +0.51 λ z = 0.2 - 0.51 How would you classify the origin? The origin is an attractor The origin is a repellor The origin is neither
A be a square matrix. It is used in the dynamic system In this origin is an attractor.
To determine the nature of the origin in the dynamic system defined by the matrix A, we need to analyze the eigenvalues of A.
Given that the eigenvalues of A are λ₁ = 1.02, λ₂ = 0.2 + 0.51i, and λ₃ = 0.2 - 0.51i, we can classify the origin based on the eigenvalues.
If all eigenvalues have magnitude less than 1, the origin is considered an attractor. If all eigenvalues have magnitude greater than 1, the origin is classified as a repellor. If at least one eigenvalue has magnitude equal to 1, the nature of the origin cannot be determined.
In this case, the eigenvalues λ₂ and λ₃ have magnitudes less than 1 (0.61 and 0.61, respectively), while λ₁ has a magnitude greater than 1 (1.02). Therefore, we can conclude that the origin is an attractor in this dynamic system.
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Which of the following shows the correct first step to solve x^2-18x=-45
A x^2 - 18x + 18= -45 + 18
B. x^2 - 18x + 9 = -45 + 18
C. x^2 -18x + 81 = -45
D. X^2 -18 + 81 = -45 + 81
Answer:
D, X^2 -18 + 81 = -45 + 81
Step-by-step explanation:
it is complating squer method that used for solving x in a quadratic equetion . in this step you will add
(y/2)^2 if y is the cofitient of x .
Find the lowest value of the set of data this box-and-whisker plot represents.
15
16
13
12
Answer:
15
Step-by-step explanation:
Answer:
you can give the other person brainiest
Step-by-step explanation:
round 9.725 to 2 decimal places
Answer:
9.73
explanation:
9.725 = 9.73 rounded to nearest 2 decimal places.
two decimal places should be in two decimals example: 2.63, 8.14
Answer:
\(\huge\boxed{\sf{9.73}}\)
Step-by-step explanation:
Hello.
Remember the Rounding Rules:
If the number you are rounding is followed by a number less than 5, you round down.
If the number you are rounding is followed by a number greater than or equal to 5, you round up.
Let's check our number.
9.725
We have 3 decimal places, and we need to round to 2.
The 2nd decimal place is followed by 5, therefore, we round up:
9.725 => 9.73
And we're done!
I hope it helps & have an outstanding day!
\(\boxed{imperturbability}\)
Which expression is equivalent to 5y - 3x + 2?
Step-by-step explanation:
Which expression is equivalent to 5y - 3x + 2? i just wsnted poit
Answer:
-3x + 5y + 2.
Step-by-step explanation:
its correct
the general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. True or False
The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena
In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.
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Determine the radii of convergence of the Taylor series of the functions centered at the indicated pointsz0, without explicitly writing the series.
(a) sinz/e^z,z0=−2
(b) 1/cosz’ , z0=0
(c) z^2+1/(z−i), z0=1+i
a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.
The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.
(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.
(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.
(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.
Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.
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