Answer: 1/4
Step-by-step explanation: He plants 3/4 of the flowers in one garden. There are 1/4 left. 4/4 - 3/4= 1/4
An online music store charges $1.25 for each song after you pay a $25 subscription fee. write a function that represents the arithmetic sequence. how many songs
can you buy if you have $57 to spend?
If f(1)=3 and f(n)=f(n-1)^2+n then find the value of f(3)
Answer:
[tex]\sqrt{\sqrt{2} }[/tex]
Step-by-step explanation:
f(1)=3; f(1)=f(0)^2+1
f(0)=[tex]\sqrt{2}[/tex]=f(3)^2+0; f(3)^2=sqrt*2; f(3)=sqrt*sqrt2
1. The hypotenuse of a right triangle has length of 34cm. The sum of the lengths of the other two legs is 46cm. What are their lengths?
The length of the other two sides are 16 and 30.
What is right-angle triangle ?
A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.
If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
let one angle be x
the other angle be 46-x
as the sum of the angles is 46
x² + (46-x)² = 34²
2x² - 92x + 46² - 34² = 0
x² - 46x + 480 = 0
x² - 16x - 30x + 480 = 0
x(x-16) - 30 (x - 16) = 0
(x-30)(x-16) = 0
x = 30 or x = 16
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consider a qubit to be in the state . what is the probability to find the spin projection along the x-axis (corresponding operator ) to be 1 ?
The probability to find the spin projection along the x-axis to be 1 is 0.5. The operator corresponding to the spin projection along the x-axis is X, and the expectation value of X in this state is 0.
This result is a consequence of the fact that operator X is a Hermitian operator, which means that its eigenvalues are real. The eigenvalues of X are ±1, so the probability of measuring a spin projection of 1 is ½. This is because the eigenstate corresponding to the eigenvalue 1 is |+⟩, which is a superposition of |0⟩ and |1⟩.
Similarly, the eigenstate corresponding to the eigenvalue -1 is |-⟩, which is also a superposition of |0⟩ and |1⟩. Thus, the qubit is equally likely to be found in either the |+⟩ or the |-⟩ state, and so the probability of measuring a spin projection of 1 is 0.5.
In summary, since the qubit is in a superposition of the two computational basis states, the expectation value of any Hermitian operator is 0, and the probability of measuring a spin projection of 1 is 0.5.
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Determine the equation of a parabola with vertex (-2, -11) and point (-4, 5).
3 marks
Answer (vertex form): y=4(x+2)^2 - 11
Answer (standard form): y=4x^2 + 16x + 5
Last season , the Roswell hornets out scored their opponents 5:2 if their opponents scored 28 points , how many points did the hornets score ?
The hornets scored 70 points if they scored 5:2 when their opponents scored 28 points.
Therefore the answer is 70.
If the Roswell hornets outscored their opponents 5:2, this means that for every 5 points the hornets scored, their opponents scored 2 points.
If we know that the opponents scored 28 points, we can use this information to find out how many points the hornets scored.
We can set up the equation:
x/28 = 5/2
Where x is the number of points the hornets scored.
On solving the equation we get:
x = (5 × 28)/2
x = 5 × 14
x = 70
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The ratios from parts A and B are equivalent. Write an equation by setting the ratios equal to one another.
Answer:
the solution is 9/2 = X24
what is the reciprocal of -2/7
Answer: -3.5 is the reciprocal
Answer:
= 7/-2
= -7/2
Step-by-step explanation:
The reciprocal number results from dividing the number 1 ny the original number, in this case:
original number = -2/7
reciprocal number = 1 / (-2/7) = (1*7)/-2 = 7/-2 = -7/2
a norma window has the shape of a rectangle surmounted by a semicircle of diameter equal to the width of the rectangle. if the perimeter of the window is 10m what is the dimension will admit the most lighT
The dimensions that will admit the most light are, the breadth of the rectangular window is [tex]2b = \frac{20+10\pi }{4+3\pi }[/tex], the length of the window is [tex]2l = \frac{40}{4+3\pi }[/tex] and the radius of the semicircular arc is [tex]l= \frac{20}{4+3\pi }[/tex].
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. "Composite figures" or "composite shapes" are shapes created by combining two or more simple shapes. To determine the area of a composite form, we must add up the areas of all the shapes that make up the figure.In the given question,
Let the length and breadth of the rectangular part of the window be 2l and 2b respectively. So the radius of the semicircular arc will be l.
The total perimeter of the window will be 1 length of the rectangle, 2 breadths of the rectangle, and the length of the semicircular arc.
l+2b+πl = 10
(1+π)l+2b = 10
[tex]b = \frac{1}{2} [10-(1+\pi )l][/tex]
To admit maximum light through the window implies that the area of the window is maximized.
The area of the window will be:
[tex]A = (2l)(2b)+\frac{\pi l^{2} }{2}[/tex]
[tex]= 4lb+\frac{\pi l^{2} }{2} \\= 2l[10-(1+\pi )l] +\frac{1}{2} \pi l^{2}[/tex]
[tex]= 20l-2l^{2} -2\pi l^{2} +\frac{1}{2} \pi l^{2}[/tex]
[tex]= 20l-2l^{2} - \frac{3}{2} \pi l^{2}[/tex]
For the area to be maximum,
[tex]\frac{dA}{dl} =0\\20 -4l -3\pi l = 0\\l= \frac{20}{4+3\pi }[/tex]
[tex]b = \frac{1}{2} [10-(1+\pi )\frac{20}{4+3\pi }\\b = \frac{10+5\pi }{4+3\pi }[/tex]
Therefore, the breadth of the rectangular window is [tex]2b = \frac{20+10\pi }{4+3\pi }[/tex], the length of the window is [tex]2l = \frac{40}{4+3\pi }[/tex] and the radius of the semicircular arc is [tex]l= \frac{20}{4+3\pi }[/tex].
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3/8 in simplest form as a fraction
3/8 is already in its simplest form as a fraction. The numerator, 3, and denominator, 8, have no common factors other than 1. To simplify a fraction to its simplest form, you divide both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 3 and 8 is 1, so there's no need to simplify further. Therefore 3/8 is already in its simplest form.
Answer:
3/8 is already in its simplest for as both numerator n denominator does not have any common factor
In the given figure, △ADE ∼ △ABC. Which triangle similarity theorem justifies
this similarity? Show proof toyour answer.
a. Using the figure below, name the three similar triangles.
b. Write the proportions that exist among corresponding parts of similar
By similarity theorem The three similar triangles are △CLB~△LUB~△CUL
(B) The proportions in corresponding parts of similar are in △CLB~△LUB: CL/LU=LB/UB=CB/LB and in △CLB~△CUL:CL/CU=LB/UL=CB/CL
What is similarity theorem?Triangle similarity in Euclidean geometry. According to the fundamental theorem of similarity, a line segment can divide two triangle sides into proportionate segments if and only if it is parallel to the third side of the triangle.
In the given figure, △ADE~△ABC.
1. ∠D≅∠B
2. DE II BC converse of basic proportionality
3. ∠E ≅ ∠C corresponding angle are congruent
4. ∠DAE≅∠BAC reflexive property
5. △ADE ≅△ABC (AAA similarity theorem)
The three similar triangles are-
△CLB~△LUB~△CUL
The proportions that exist among corresponding parts of similar
→ In △CLB~△LUB
CL/LU=LB/UB=CB/LB
→ In △CLB~△CUL
CL/CU=LB/UL=CB/CL
→ In △LUB~△CUL
LU/CU=UB/UL=LB/CL
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HELP I ONLY HAVE TELL 12 QUICK I HAVE OTHER QUIZZES TOO
Answer:
by 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
1. Find the slope of the line.
−3x−4y=6
2. Find the slope of the line that is (a) perpendicular to the line that goes through points (6, -1) and (-4, -10).
The slope of the line in 1. is -3/4 and the slope of 2. is 9/10.
What is slope?Understanding what slope is is among the most crucial things to know about lines. The line's slope, also referred to as rise over run, is how "steep" it is. By dividing the difference between the y-values at two points by the difference between the x-values, we can determine slope. Understanding how to interpret graphs and create equations is necessary in order to comprehend the significance of the definition of slope.
The slope of the line = m in y = mx + b
−3x−4y=6
4y = -3x -6
y = (-3x -6)/4
y = -3x/4 -6/4
y = -3/4(x) -3/2
2. Slope formula = y₂ - y₁ = m(x₂ -x₁)
points (6, -1) and (-4, -10)
Substitute
-10 -(-1)= m(-4 -6)
m = 9/10
Thus, the slope of the line in 1. is -3/4 and the slope of 2. is 9/10.
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a nutritionist believes that 10% of teenagers eat cereal for breakfast. to investigate this claim, she selects a random sample of 150 teenagers and finds that 25 eat cereal for breakfast. she would like to know if the data provide convincing evidence that the true proportion of teenagers who eat cereal for breakfast differs from 10%. what are the values of the test statistic and p-value for this test?
On solving the provided question, we can say that random sample the conditions for interference are met.
what is random sample?selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.
Yes, the conditions for interference are met.
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the expression $x^2 3x - 28$ can be written as $(x a)(x - b),$ and the expression $x^2 - 10x - 56$ written as $(x 2b)(x c)$, where $a$, $b$, and $c$ are integers such that $c > 0.$ what is the value of $2c - a$?
The required value of the expression 2c - a is 1.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
It's possible to multiply, divide, add, or subtract with this mathematical operation.
An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)
So, we have:
x²+3x-28
x²+7x-4x-28 [28=7×2×2, 7-(2×2)=7-4=3]
x(x+7)-4(x+7)
(x+7)(x-4)$
In light of the fact that x2+3x-28 can be expressed as (x+a)(x-b).
in order to compare (x+7)(x-4) and (x+a)(x-b).
As a result, a = 7 and b = 4.
Similarly,
x²-10x-56$
x²-14x+4x-56 [ 56= 7×2×2×2, - (7×2)+(2×2) = -14+4=10]
x(x-14)+4(x-14)
(x-14)(x+4)
Given that (x+2b)(x+c) can be used to represent x2-10x-56.
Consequently, compare (x-14)(x+4)and (x+2b)(x+c).
Now, c=4 [∵c>0].
Then,
2c-a
(2×4)-7
8-7
1
Therefore, the required value of the expression 2c - a is 1.
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A manufacturer offers a 25/20 chain
discount if the invoice subtotal is above
$1,000. If the list price is $52 per item,
what is the total price of the first invoice
that activates the chain discount?
The total price of the first invoice that activates the chain discount is $624.
What is percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
A manufacturer offers a 25/20 chain discount if the invoice subtotal is above $1,000.
If the list price is $52 per item.
now, to get the discount he must buy at least = 1000/52= 20 items
= 20 x $52
= $1040
Thus, (1040) (1-25%)(1- 20%)
= 1040 x 0.75 x 0.80
= 624
Hence, the total price is $624.
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Answer and explaining
Answer:
a
Step-by-step explanation:
i just took it
how many liters of a 15% alcohol solution must be mixed with 30 liters of a 40% alcohol solution to obtain a 30% solution
Answer: 20 liters
Step-by-step explanation:
Let the number of liters of 15% alcohol solution be [tex]x[/tex].
[tex]0.15x+30(0.4)=0.3(x+30)\\\\0.15x+12=0.3x+9\\\\12=0.15x+9\\\\0.15x=3\\\\x=20[/tex]
a rectangular box with a square base is made from 216 ft2 of material. which dimensions will result in a box with the largest possible volume?
height = 14.5 ft and width = length = 3.2 ft in a box with the largest possible volume
Let the side of the square base is a and the height of the box is h.
The material required to make the box is equal to the total surface area of the box.
Area of base = a²
Cost of square base is $ 2 per ft²
So, the cost of making base = 2a²
Area of four walls + area of top = 2 (a² + ah + ah) + a² = 3a² + 2ah
Cost of making walls and the top is $ 1 per ft²
So, the cost of making walls and the top = 1 x ( 3a² + 2ah)
Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah
According to the question
144 = 5a² + 2ah
.... (1)
The volume of the box is V = length x width x height
V = a x a x h
V = 72 a - 2.5 a³ from equation (1)
Differentiate both sides with respect to a.
dV/da = 72 - 7.5 a²
Put, it equal to zero for maxima and minima
7.5 a² = 72
a = 3.2 ft
Put in equation (1)
h = 14.5 ft
So, the dimensions of the box are
height = 14.5 ft
width = length = 3.2 ft
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What are the characteristics of an absolute value graph?
There are six characteristics of an absolute value graph.
An absolute value function is a function of the form f(x) = |x|. The graph of an absolute value function has the following characteristics:
It is symmetric about the y-axis, since changing the sign of x (from positive to negative or vice versa) does not change the value of |x|.It has a "V" shape, with the vertex located at the origin (0,0).As x moves away from 0 along the x-axis, the y-coordinate of the graph increases in value.As x moves towards 0 along the x-axis, the y-coordinate of the graph approaches 0.The graph does not cross the x-axis.The range of the function is all non-negative numbers.Learn more about Graphs:
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What is the difference between the best and worst credit score interest rates?
The difference between the best and worst credit score interest rates would be = 6.24%
What is an interest rate?An interest rate is defined as the particular amount of money an individual receives for a period of time due to an investment made.
The difference between the best and the worst credit score interest rates would be to substrate the best score from the worst score.
The best interest rate score = 3.65
The worst interest rate score = 9.89
Therefore the difference = 9.89 - 3.65 = 6.24 %
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(2^-3x divided by 2^-2)^2=2^10
.
Greetings!!
Lool at the attachment
Which graph represents the function of f(x) =9x²-36/3x +6
The graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2. That is the second graph of the second picture gives the graph of the function.
What is y-intercept?The point at which a graph crosses the y-axis is known as the y-intercept. It is, in other words, the value of y when "(x=0)" occurs. Using the slope and a specified location, determine the y-intercept of a linear function.
Determine the graph's gradient and a point first. Enter a linear equation in slope-intercept form (y = mx + b) once this is finished. Rewrite the equation using the supplied point (x, y) and slope (m), inserting the correct values for x, y, and m.
The function is:
f(x) = (9x^2 - 36)/3x + 6
Simplify that function to a linear function for all x for which 3x + 6 ≠ 0
3x = - 6
x = -2
So, for x ≠ - 2, you can do:
f(x) = (9x^2 - 36) / 3x + 6
f(x) = 9(x^2 - 4) / 3x + 6
f(x) = 3(x + 2)(x - 2) / x+2
f(x) = 3(x - 2) = 3x - 6
Hence, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2. That is the second graph of the second picture.
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Heeeeeeeeelp, what is x?
Answer:
right angle
Step-by-step explanation:
Answer:
its 34
Step-by-step explanation:
Did it yesterday and got it right.
PLEASE HELPPPP!!! (-2/3)^4 evaluate.
(-2/3)^4 evaluates to (1/81) or 0.012345679012345678.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!QUICK
How do you graph an inequality. Explain in 2 or more sentences
Answer:
can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
What is the product of radical 5 and 10 radical 30 in simplest radical form
The product of radical 5 and 10 radical 30 in simplest radical form is 50√6
What is Expression?An expression is combination of variables, numbers and operators.
We need to find the product of radical 5 and 10 radical 30 in simplest radical form
It can be written as √5×10√30
√a.√b=√ab
√5×10√30
10√5×30
10√150
10√25×6
10.5√6
50√6
Hence, the product of radical 5 and 10 radical 30 in simplest radical form is 50√6
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Answer:
What the other dude said:
The product of radical 5 and 10 radical 30 in simplest radical form is 50√6
Step-by-step explanation:
suppose you want to estimate the percentage of college studentswho are using electronic cigarettes on a regular basis. you have permission to sample two colleges, grove city college and penn state university. grove city has an enrollment of 2,500 students and penn state has an enrollment of 45,000 students. what should the relative size of our samples be from each school if we want the two sampling distributions to have approximately the same standard deviation?
The correct option is A "Because the population sizes are so different, it's impossible to make the standard deviations equal by adjusting the two sample sizes ".
The collection of data is gathered and chosen from a statistical population with the use of some prescribed techniques in both statistics and quantitative methodology. Data sets may be divided into two categories: sample and population.
All the components of the data set are included in the population, which also contains quantifiable qualities like mean and standard deviation.
A sample is made up of one or more observations that are taken from the population, and a statistic is what makes a sample quantifiable. The act of sampling is the selection of a sample from a population.
Complete question:
Suppose you want to estimate the percentage of college students who are using electronic cigarettes on a regular basis. You have permission to sample two colleges, Grove City College and Penn State University. Grove City has an enrollment of 2,500 students and Penn State has an enrollment of 45,000 students. What should the relative size of our samples be from each school if we want the two sampling distributions to have approximately the same standard deviation?
A. Because the population sizes are so different, it's impossible to make the standard deviations equal by adjusting the two sample sizes
B. We should take a larger number of Penn State students since there are more of them.
C. We should take a larger number of Grove City students since there are fewer of them.
D. We should take the same size samples from each school.
E. We should take samples that are exactly 10% of each school's enrollment.
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once a homework quiz is opened, how long does the student have to submit the quiz? group of answer choices 2 hours, but must submit the exam no later than the closing time. 3 hours, but must submit the exam no later than the closing time. 4 hours, but must submit the exam no later than the closing time. 5 hours, but must submit the exam no later than the closing tim
3 hours, but must submit the exam no later than the closing time.
The browser displays a notification banner for tests that have a due date to inform students when the test will be marked as incomplete (30 minutes prior, 5 minutes prior, and 1 minute prior).
The browser displays a notification banner for quizzes that are about to auto-submit (using an Until date or the natural course finish date) to inform students of this (30 minutes prior, 5 minutes prior, 1 minute prior, and 10 seconds prior).3 hours, but must submit the exam no later than the closing time.
If students are unable to finish a timed quiz in the full permitted time, the browser will display a notification banner.
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Solve for X, Leave in simplest radical form.
Hope it helps.
If you have any query, feel free to ask.
