Answer:
(d) (-6, 0)
Step-by-step explanation:
Given graphed inequalities and a list of points, you want the point that is a "solution."
AssumptionsWe assume the graphed inequalities are part of a system of two inequalities and that a "solution" is one that must satisfy both of them. Any solution point will be in the doubly-shaded area, or on the solid blue boundary next to that area.
SolutionEach of the given points is 6 units from the origin on one of the coordinate axes. The only such point that lies in the doubly-shaded area is (-6, 0) on the negative x-axis.
The point (-6, 0) is a solution.
__
Additional comment
We know the kinds of inequalities that can give rise to a graph like this, but we don't know the question for which one of these points would be a solution. That is why assumptions are necessary.
The point (0, 6), for example, could be a solution to the question, "what set of values satisfies x-y ≤ 1, but not x+y < 3?"
A cylinder has a base radius of 10inches and a height of 20inches . What is its volume in cubic
in, to the nearest tenths place?
Answer:
6280 cm³
Step-by-step explanation:
V=πr2h
=(3.14) (100) (20)cm³
=6280 cm³
the eighth grade at byrnade Junior high school has 464 students. There are 212 more boys than girls. how many boys are there?
Answer: 338 boys
1) Formulate an equation
The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.
2) Isolate the variable
Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.
3) Plug the variable
Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.
(x² – 2x - 4) (x² – 3x-5)
what is force ?????????
Answer:
\({\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}\)\(\huge\red\dashrightarrow\) In physics, a force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.
if f (x) =3(x+3)^2 - 10 then calcutlate f (2)
pls answer todayyy i need help
Answer:
x
=
−
8
−
√
13
3
,
−
8
+
√
13
3
I dont know why the answer is spacing out like this
Solve by using substitution. Express your answer as an ordered pair
3x + y = -5
x = y - 3
Answer:
vz
Step-by-step explanation:
3x+y=−5,x=y−3
Consider the second equation. Subtract y from both sides.
x−y=−3
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
3x+y=−5,x−y=−3
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
3x+y=−5
Subtract y from both sides of the equation.
3x=−y−5
Divide both sides by 3.
x=
3
1
(−y−5)
Multiply
3
1
times −y−5.
x=−
3
1
y−
3
5
Substitute
3
−y−5
for x in the other equation, x−y=−3.
−
3
1
y−
3
5
−y=−3
Add −
3
y
to −y.
−
3
4
y−
3
5
=−3
Add
3
5
to both sides of the equation.
−
3
4
y=−
3
4
Divide both sides of the equation by −
3
4
, which is the same as multiplying both sides by the reciprocal of the fraction.
y=1
Substitute 1 for y in x=−
3
1
y−
3
5
. Because the resulting equation contains only one variable, you can solve for x directly.
x=
3
−1−5
Add −
3
5
to −
3
1
by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
x=−2
The system is now solved.
x=−2,y=1
Work out m and c for the line
y= x + 3
m=
c=
Answer:
1
3
Step-by-step explanation:
The equation of a graph is normally written in form Mx+c.
So, here there is x+3.
Thus, m = 1
C = 3
Hope this helps
how many pattern block rhombuses would create 3 hexagons
9 block rhombuses would create 3 hexagons.
In order to increase the total number by three, a hexagon can be divided into a minimum of three rhombuses, each of which can be further divided into four rhombuses. With n being a positive integer, the result is 3n. The top two hexagons in this image are each divided into 8 and 10 rhombuses. The total number of rhombuses that can fit in a hexagon is not limited to multiples of three, given that the total number of rhombuses dividing a hexagon can be raised by three by quartering a single component rhombus. The amount might actually be any integer larger than 7.
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In circle O below, what is the value of f ?
Answer:
I believe the answer is 15 .
Hope it helps ^^
Consider the 3D harmonic oscillator: V= 2
1
mω 2
(x 2
+y 2
+z 2
) with E=(n x
+n y
+nz+3/2)ℏ0 for ψ(x,y,z)=Ψ nx
(x)ψ ny
(y)Ψ nz
(z) w here ψ n
(x) is defined in Eg.2.86 H ′
=Ayx 2
z The above perturbation is applied, where A is a constant. (a) How is the ground state perturbed to first order? (b) Is the first excited state degenerate?If so, use degenerate perturbation theory to find perturbed energy levels to first order.
(a) The ground state is not perturbed to first order.
(b) The first excited state is not degenerate, and degenerate perturbation theory is not required.
To analyze the perturbation of the ground state and the first excited state of the 3D harmonic oscillator, we'll follow the steps of perturbation theory. Let's address each part of the problem:
(a) Perturbation of the Ground State:
The ground state of the unperturbed system is given by n_x = n_y = n_z = 0. Let's denote this state as |0,0,0⟩.
To determine the first-order perturbation correction to the ground state energy, we need to calculate the matrix element of the perturbation operator H' between the ground state and the excited states. The perturbation operator is given by H' = Ayx^2z.
The first-order correction to the energy of the ground state is given by:
ΔE(0) = ⟨0,0,0|H'|0,0,0⟩
Since the ground state is the eigenstate of H' with zero energy, the first-order correction is zero:
ΔE(0) = 0
Therefore, the ground state is not perturbed to first order.
(b) Degeneracy of the First Excited State and Perturbed Energy Levels:
The first excited state of the unperturbed system has n_x = n_y = n_z = 1. Denote this state as |1,1,1⟩.
To determine if this state is degenerate, we need to check if there are other states with the same energy. In this case, we need to find the states that have the same energy as |1,1,1⟩ in the absence of perturbation.
The energy of the first excited state is given by:
E(1) = n_x + n_y + n_z + 3/2
Substituting n_x = n_y = n_z = 1, we have:
E(1) = 1 + 1 + 1 + 3/2 = 5/2 + 3/2 = 4
To determine if there are other states with the same energy, we need to examine the possible combinations of n_x, n_y, and n_z that satisfy the condition:
n_x + n_y + n_z + 3/2 = 4
We can see that there are no other combinations of n_x, n_y, and n_z that satisfy this condition. Therefore, the first excited state is not degenerate.
Since the first excited state is not degenerate, we do not need to use degenerate perturbation theory to find perturbed energy levels to first order.
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The following expressions are polynomial except
\(4 {x}^{3} - 5 {x}^{ - 2 } + 3 \)
\(5 {x}^{2} + 2x - 1\)
\(2 {x}^{5} - 2 {x}^{2} - 2\)
\(x + 9\)
Answer:
x+9
Step-by-step explanation:
its a binomial (2 terms
I need help asap!!!!!!!!!!!!!!!!!!!!
Answer: c
Step-by-step explanation:
Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have(A $411,234) (B $425,352) (C $449,739) saved in 30 years. Her account balance is a result of Jenna’s(A annuity payments)(B lump-sum payment) .
Answer:
The answer is $43623.50Step-by-step explanation:
This problem is on compound interest.
the expression for compound interest is given as
A=P(1+r)^t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Given data
P= $2,500
r= 10/100= 0.1
t= 30 years
substituting into the expression for compound interest and solving for A we have
A=2500(1+0.1)^30
A=2500(1.1)^30
A=2500*17.449
A=$43623.50
The final amount is $43623.50
Her account balance is a result of Jenna’s(A annuity payments)
Answer:
b then a
Step-by-step explanation:
neutron style
3' - '2' + 'm' / 'n' is ________.
The expression "3' - '2' + 'm' / 'n'" is invalid because it combines character literals and arithmetic operations. The expression "3' - '2' + 'm' / 'n'" is not valid in most programming languages.
It attempts to mix character literals ('3', '2', 'm', 'n') with arithmetic operations (-, +, /), which is not meaningful. In programming languages, characters are typically represented using character literals enclosed in single quotes.
While arithmetic operations are performed on numerical values. The expression should be revised to ensure that the operations are performed on numerical values rather than character literals.
For example, if 'n' and 'm' represent numerical values, the expression could be written as "3 - 2 + m / n" to perform arithmetic operations correctly.
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-5(-2)^3+8(-2)^2. Simplify your answer
Ans:-
\( \fbox{ \: \sf \purple 8 \: \: }\)\( \: \)
Solution:-
\(↣ \: \textsf{-5 ( -2 )³ + 8 ( -2 )²}\)
\( \: \)
\( ↣ \: \textsf{-5 ( -8 ) + 8 ( -4 )}\)
\( \: \)
\( ↣ \: \textsf{40 + ( -32 ) }\)
\( \: \)
\( \textsf{[ + , - = - ]}\)
\( \: \)
\(↣ \: \textsf{40 - 32 }\)
\( \: \)
\( \underline{ \underline{↣ \textsf \orange{ \: \: 8 \: \: \: }}}\)
\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps!:)
7 2 + 1 . 5 = 6 8 + 2
Answer:
I don't get it are you telling us a answer or is it a question?
What is the slope of a line with the equation y = -x + 6?
True or false? Based only on the given information, it is guaranteed that
AC = BC.
А
B
Given: A ABC
AB I CD
ZACD = BCD
Answer:
Step-by-step explanation:
True
Option B is correct that is false.
We have been given a figure we need to tell that the two lines are perpendicular
Lines are perpendicular if they meet at the right angle.
Line CD is perpendicular AB to vice-versa is not true.
Hence, Option B is correct
What is perpendicular with examples?Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle. The symbol is used to denote two perpendicular lines: ⊥ ⊥ .
The perpendicular symbol is ⊥. It is used between the two lines to show that they are perpendicular to each other. Perpendicular lines intersect at right angles (90°) while parallel lines are parallel to each other and never intersect.
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Find the sum of the series 9 +3+1+...+1/27
Answer:
\(\dfrac{364}{27}\)
Step-by-step explanation:
A geometric sequence has a constant ratio (multiplier) between each term, so each term is multiplied by the same number, whereas an arithmetic sequence has a constant difference between each term, so the difference between each term is the same.
Given series:
9 + 3 + 1 + ... + 1/27As each term of the given sequence is a third of the previous term, the given series is a geometric series. This means the common ratio (r) is 1/3.
From inspection of the given series, the first term (a) is 9.
To find the value of n for the nth term 1/27, simply divide each term by 3:
\(a_1=9\)
\(a_2=\dfrac{a_1}{3}=\dfrac{9}{3}=3\)
\(a_3=\dfrac{a_2}{3}=\dfrac{3}{3}=1\)
\(a_4=\dfrac{a_3}{3}=\dfrac{1}{3}\)
\(a_5=\dfrac{a_4}{3}=\dfrac{\frac{1}{3}}{3}=\dfrac{1}{9}\)
\(a_6=\dfrac{a_5}{3}=\dfrac{\frac{1}{9}}{3}=\dfrac{1}{27}\)
Therefore, as the 6th term in the sequence is 1/27, we need to find the sum of the series of the first 6 terms. To do this, use the geometric series formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)
The given values are:
a = 9r = 1/3n = 6Substitute these values into the formula to find the sum of the first 6 terms:
\(\implies S_n=\dfrac{a(1-r^n)}{1-r}\)
\(\implies S_6=\dfrac{9\left(1-\frac{1}{3}^6\right)}{1-\frac{1}{3}}\)
\(\implies S_6=\dfrac{9\left(1-\frac{1}{729}\right)}{\frac{2}{3}}\)
\(\implies S_6=\dfrac{9\left(\frac{728}{729}\right)}{\frac{2}{3}}\)
\(\implies S_6=\dfrac{\frac{728}{81}}{\frac{2}{3}}\)
\(\implies S_6=\dfrac{728}{81} \cdot \dfrac{3}{2}\)
\(\implies S_6=\dfrac{2184}{162}\)
\(\implies S_6=\dfrac{364}{27}\)
\(\hrulefill\)
Alternative methodAs there are only 6 terms to sum, an alternative method would be to simply add the 6 terms:
\(\implies S_6=9+3+1+\dfrac{1}{3}+\dfrac{1}{9}+\dfrac{1}{27}\)
Rewrite all the numbers so that they are fractions with the same denominator of 27:
\(\implies S_6=\dfrac{243}{27}+\dfrac{81}{27}+\dfrac{27}{27}+\dfrac{9}{27}+\dfrac{3}{27}+\dfrac{1}{27}\)
As the denominators are the same, simply add the numerators:
\(\implies S_6=\dfrac{243+81+27+9+3+1}{27}=\dfrac{364}{27}\)
due last weeeekk help!!!!
A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:
Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).
In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;
(x, y) → (y, -x)
Ordered pair B' (-2, 1) → E (1, 2)
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Solve for z.
3 + 2z = 7
z =
Solve for z.
3 + 2z = 7
z =
Answer: z=2
Step-by-step explanation:
2 x 2 = 4 + 3 = 7
Answer: Okay, the answer is z=2.
Step-by-step explanation: Step 1: Simplify the both sides of the equation: 2z+3=7.
Step. 2: Subtract 3 from the both sides: 2z+3−3=7–3.
Last but not least is step 3. Divide the both sides by 2: 2z/2=4/2. So you get z=2. I hoped my step-by-step explanation formula substitution is very helpful, please mark me as Brainliest, and have a happy holidays!!!!!!! :D
Someone mind helping? It’s pretty late rn and I need to hurry this up..
Answer:
Y=1/2x (-1,-2)
Step-by-step explanation:
The slope is 1/2 and there is no y intercept so it’s simply y= 1/2x
Answer:
y = 2x
(4,8)
Step-by-step explanation:
The linear function
y = 2x
For an another pair not named on the graph,
Just input a value for x!
Which means,
y = 2(4)
y = 8
(4,8) satisfied the function.
Hope this helps!!
Please give me brainliest if it is the correct answer :)
Given parallelogram abcd, diagonals ac and bd intersect at point e. ae=2x, be=y 10, ce=x 2 and de=4y−8. find x.
the diagonals of a parallelogram bisect each other
2x=x+2
x=2
Hence the value of x is 2.
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Opposite or opposite sides of a parallelogram have equal lengths, and opposite angles of a parallelogram are equal. The congruence of opposite and opposite angles is a direct consequence of the Euclidean parallel postulate, the Euclidean parallelism The condition cannot be proved without resorting to the line postulate or one of its equivalent formulations.
A parallelogram with base b and height h can be divided into trapezoids and right triangles and converted into rectangles as shown in the left figure. This means that the area of a parallelogram is equal to the area of a rectangle with the same base and height.
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PLEASE HELP MEEE! Simplify 6! − 3!
6!(1 − 2!)
3!((6x5x4) − 1)
3!(2! − 1)
6!(1 − 0.5!)
The simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).
What is the simplified form of a term?Simplified form of a term is the simplest way of expression the term, which is obtained by applying the required operations of mathematics.
Factorial is the way to write the product of the numbers from its phase value to 1 in decreasing order. Suppose, the number is 3!. Then it can be written as,
3!=3×2×1
The expression which has to be simplified is,
6! - 3!
It can be written as,
6! - 3!
(6×5×4×3!)-3!
3!((6×5×4)-1)
Thus, the simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).
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\(\huge\text{Hey there!}\)
\(\mathsf{6! - 3!}\\\mathsf{\approx 6(5)(4)(3)(2)(1) - 3(2)(1)}\\\mathsf{\approx 30(4)(3)(2)(1)- 6(1)}\\\mathsf{\approx 120(3)(2)(1) - 6}\\\mathsf{\approx 360(2)(1) - 6}\\\mathsf{\approx 720(1) - 6}\\\mathsf{\approx 720 - 6}\\\mathsf{\approx 714}\\\mathsf{\approx 3!((6\times5\times4) - 1)}\)
\(\huge\text{Answer: \boxed{\mathsf{3!((6\times5\times4) - 1)}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Candice is cleaning the office building's 200-gallon aquarium. For
cleaning, she must remove the fish from the aquarium and drain the
water. The water drains at a constant rate of 10 gallons per minute.
• independent quantity:
?
• dependent quantity:
?
I need the independent quantity + dependent quantity. Using the image I need the exact graph that fits this problem.
Using function concepts, we have that:
The independent quantity is the time.The dependent quantity is the volume.Graph H fits this problem.What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
For this problem, the volume is a function of time, hence Volume = f(Time) and:
The independent quantity is the time.The dependent quantity is the volume.The decay rate is constant, meaning that we have a decreasing linear function, and graph H fits this problem.
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-27 = -6-3p I need help
Answer:
p=7
Step-by-step explanation:
use inverse operation
add 6 to both sides
you get
-3p=-21
divide -3 from both sides
p=7
Answer:
p=7
Step-by-step explanation:
how much time should be allowed for a 605 mile card ship if the car will be traveling at an average speed of 55 mph
11 hours, 5 minutes is the ansewer
The area of a rectangle is 126m2. If the width is changed by a factor of 1/2 and the length is increased to three times
its original length, calculate the new area.
126 m 2
1. 126 m2
2. 63 m2
3. 378 m2
4. 189 m2
Answer: 4. 189 m2
Step-by-step explanation:
126m2 divided by 2
= 63
63 times 3
= 189
189m2
Help me please raise my grade
Answer:
20% = 20 out of 10080% = 80 out of 10080th percentile = 80% of all the values in the data set are less than or equal to this quantity.20th percentile = 20% of all the values in the data set are less than or equal to this quantity.a factory manufacturing tennis balls determines that the probability that a single can of three balls will contain at least one defective ball is 0.025. what is the probability that a case of 48 cans will contain at least two cans with a defective ball?
There is about a 33.7% probability that a case of 48 cans will contain at least two cans with a defective ball.
To solve this problem, we can use the binomial distribution. Let's define "success" as getting a can with no defective ball and "failure" as getting a can with at least one defective ball.
The probability of success in one can is:
P(success) = 1 - P(failure) = 1 - 0.025 = 0.975
The probability of failure in one can is:
P(failure) = 0.025
Now, let's define X as the number of cans in a case of 48 that have at least one defective ball. We want to find the probability that X is greater than or equal to 2.
We can use the binomial distribution formula to calculate this probability:
P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)
P(X = 0) = (0.975)^48 ≈ 0.223
P(X = 1) = 48C1 (0.975)^47 (0.025)^1 ≈ 0.44
where 48C1 is the number of ways to choose one can out of 48.
Therefore, the probability that a case of 48 cans will contain at least two cans with a defective ball is:
P(X ≥ 2) ≈ 1 - 0.223 - 0.44 ≈ 0.337
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