Answer:
At the end of the second day, the value of the share is $23.76
Step-by-step explanation:
Maddie bought $22 worth of share
20% increase of $22 share in the first day
= 20/100 × 22
= $4.40
The total value at the end of the $22 + $4.40
= $26.40
On the second day, 10% decrease of $26.40 is
= 10/100 × $26.4
= $2.64
At the end of the second date, the value of the share is $26.40 - $2.64
= $23.76
examples of one solution
Answer:I can’t see image on mobile
Step-by-step explanation:
h
A local bakery charges $2.75 per cupcake. Which equation best represents y, the total cost of x number of cupcakes? (Show/Explain Work)
y = 2.75 + x
y = 2.75x
x = 2.75y
x = 2.75 + y
Please i need help, i can't get this question wrong. Please help, please and thank you
Answer:
D. 48
Step-by-step explanation:
4pi r^2
4 × 3 × 2^2 = 48
Answer:
The answer is D.
Step-by-step explanation:
You only have to substitute π value and r value into the formula :
\(s.a = 4\pi {r}^{2} \)
\(let \: \pi = 3,r = 2\)
\(s.a = 4 \times 3 \times {2}^{2} \)
\(s.a = 12 \times 4\)
\(s.a = 48 \: {m}^{2} \)
Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l
Answer:
A, D, E, F, J, and L
Explanation :
These units can hold things!
-3(x-2)-3x<2x+18
good luck
Answer:
x>-3/2
Step-by-step explanation:
Answer:
x > - \(\frac{3}{2}\)
Step-by-step explanation:
Given
- 3(x - 2) - 3x < 2x + 18 ← distribute parenthesis and simplify left side
- 3x + 6 - 3x < 2x + 18
- 6x + 6 < 2x + 18 ( subtract 2x from both sides )
- 8x + 6 < 18 ( subtract 6 from both sides )
- 8x < 12
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.
x > \(\frac{12}{-8}\) , that is
x > - \(\frac{3}{2}\)
by what number should (-2/3)³ be divided so that the quotient is (9/8) -²
this is a question from 8th mathematics chapter 2 exponents
Answer:
-3/8
Step-by-step explanation:
(-2/3)³ / x = (9/8) -²
-2³/3³ = (2³/3²)²x
-2³/3³ = (2^6/3^4)x
-2³ × 3^-3 × 3^4 × 2^-6 = x
-2^-3 × 3 = x
x = -3/8
Suppose F→(x,y,z) = ⟨x, y, 5z⟩. Let W be the solid bounded by the paraboloid z=x²+y² and the plane z=16. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of F→ through S.
(b) Find the flux of F→ out the bottom of S (the truncated paraboloid) and the top of S (the disk).
(a) To find the flux of the vector field F→(x, y, z) = ⟨x, y, 5z⟩ through the closed boundary S of the solid W bounded by the paraboloid z = x² + y² and the plane z = 16, we can apply the divergence theorem.
AS
The divergence theorem states that the flux of F→ through S is equal to the triple integral of the divergence of F→ over the volume V enclosed by S.
First, we need to calculate the divergence of F→. Taking the divergence, we have div(F→) = ∂/∂x(x) + ∂/∂y(y) + ∂/∂z(5z) = 1 + 1 + 5 = 7.
Next, we evaluate the triple integral of the divergence over the volume V. The limits of integration for V are determined by the region bounded by the paraboloid and the plane, which can be expressed as 0 ≤ z ≤ x² + y² and 0 ≤ z ≤ 16. The integral becomes ∭V div(F→) dV = ∭V 7 dV.
To evaluate this triple integral, we need to express it in appropriate coordinates, such as cylindrical or spherical coordinates, depending on the symmetry of the problem. Then we can determine the limits of integration and perform the integration to compute the flux value.
(b) To find the flux of F→ out of the bottom of S (the truncated paraboloid) and the top of S (the disk), we need to consider the orientation of the surface and apply the divergence theorem separately for each surface.
For the bottom surface (truncated paraboloid), the outward orientation is in the negative z-direction. The flux through this surface is given by the negative of the integral ∭V div(F→) dV over the volume V enclosed by the bottom surface.
For the top surface (disk), the outward orientation is in the positive z-direction. The flux through this surface is equal to the integral ∭V div(F→) dV over the volume V enclosed by the top surface.
In both cases, we can use the same divergence value calculated earlier, div(F→) = 7, and integrate over the appropriate limits of integration based on the geometry of the surfaces.
In summary, to find the flux of F→ through the closed boundary S, we apply the divergence theorem by calculating the divergence of F→ and evaluating the triple integral over the volume enclosed by S. To find the flux out of the bottom and top surfaces separately, we consider the orientations and integrate over the appropriate volumes.
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Please help, promise I will mark ya if ur right
I was just wondering how he got the 14y thank u!
Given equation is:
\(3y^2+(y+7)^2-15\)let us simplify,
use the formula
\((a+b)^2=a^2+2ab+b^2\)\(\begin{gathered} 3y^2+(y+7)^2-15^{} \\ 3y^2+(y^2+2\cdot7\cdot y+7^2)-15 \\ 3y^2+y^2+14y+49-15 \\ 4y^2+14y+34 \end{gathered}\)The answer is
\(4y^2+14y+34\)Indicate below weather the equation in the box is true or false
Answer:
False
Step-by-step explanation:
4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10
Find X. Round to the nearest tenth of degree.
Answer:
\(x=49.16^{\circ}\)
Step-by-step explanation:
We need to find the value of x in the given figure.
It is a right angled triangle, in which base is 19, height is 22.
We can use trigonometry to find x.
We know that,
\(\tan\theta=\dfrac{P}{B}\)
Where
P is perpendicular and B is base
So,
\(\tan x=\dfrac{22}{19}\\\\x=\tan^{-1}(1.157)\\\\x=49.16^{\circ}\)
So, the value of x is equal to \(49.16^{\circ}\).
P (x) is the statement "x2 < 10" and the domain consists of the positive integers less than 4. Write out each of these propositions using disjunctions, conjunctions, and negations (i.e. rewrite the propositions without using quantifiers). [2pts, 0.5pt each]
a) ∃xP(x) __________________________ b) ∀xP(x) __________________________ c) ∃x¬P(x)__________________________
d) ∀x¬P(x) __________________________
Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∧ ¬P(2) ∧ ¬P(3)) which translates to "(1 ≥ √10 and 4 ≥ √10 and 9 ≥ √10)"Note: √10 is not a positive integer less than 4.
In this problem, P(x) is the statement "x2 < 10", and the domain consists of positive integers less than 4. We are to write out each of these propositions using disjunctions, conjunctions, and negations (i.e. rewrite the propositions without using quantifiers).a) ∃xP(x): This proposition is read as "there exists an x such that P(x) is true." Using the domain and statement given above, we can write out this proposition as: (P(1) ∨ P(2) ∨ P(3)) which translates to "(1 < √10 or 4 < √10 or 9 < √10)"b) ∀xP(x): This proposition is read as "for all x, P(x) is true." Using the domain and statement given above, we can write out this proposition as: (P(1) ∧ P(2) ∧ P(3)) which translates to "(1 < √10 and 4 < √10 and 9 < √10)"c) ∃x¬P(x): This proposition is read as "there exists an x such that P(x) is false." Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∨ ¬P(2) ∨ ¬P(3)) which translates to "(1 ≥ √10 or 4 ≥ √10 or 9 ≥ √10)"d) ∀x¬P(x): This proposition is read as "for all x, P(x) is false." Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∧ ¬P(2) ∧ ¬P(3)) which translates to "(1 ≥ √10 and 4 ≥ √10 and 9 ≥ √10)"Note: √10 is not a positive integer less than 4.
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Find one solution for the equation, (2x-3)(3x+5)=0.
The two solutions to the equation (2x - 3)(3x + 5) = 0 when solved are x = 3/2 and x = -5/3
How to determine the solution to the equationGiven that, we have the following equation
(2x - 3)(3x + 5) = 0
The above equation means that
2x - 3 = 0 and 3x + 5 = 0
When the equations are evaluated, the equations becoms
2x = 3 and 3x = -5
Lastly, we divide both sides of the equation by the coefficent of x i.e 2 and 3
So, we have
x = 3/2 and x = -5/3
So, the values of the solutions to the equation are x = 3/2 and x = -5/3
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PLEASE HELP QUICK!!!
Answer:
b
Step-by-step explanation:
Let R represent the set of all real numbers.
Suppose f:R -> R has the rule f(x)=3x+2. Determine whether f is a function, injective, surjective and/or bijective. Choose all that apply.
A. Function B. Injective C. Surjective D. Bijective
Option D is the correct.
The given function f: R → R with the rule f(x) = 3x + 2. Let R represent the set of all real numbers.
What is a function?
A function is defined as the set of ordered pairs in which each first element of the ordered pair maps to one unique second element of the ordered pair.
What is an injective function?
A function f(x) is called one-to-one or an injective function, if and only if each and every element of the function domain is paired with exactly one element of the function range.
What is a surjective function?
A function f(x) is called onto or a surjective function, if and only if each and every element of the function range is paired with at least one element of the function domain.
What is a bijective function?
A function f(x) is called a bijection or a bijective function if it is both injective and surjective.
The given function is a function because for every x in R, there is exactly one image (3x+2) in R.
Let x₁, x₂ be two distinct real numbers in R, then3x₁ + 2 ≠ 3x₂ + 2, which implies f is injective or one-to-one.
Therefore, the given function f is both an injective function and a surjective function.
So, the function is a Bijective function
Option D is the correct choice. The given function f: R → R with the rule f(x) = 3x + 2 is Bijective function.
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Convert 46.1031 to 4 significant figures
Converting 46.1031 to 4 significant figures, we have 46.10.
Rounding off to 4 significant figure.Rounding off numbers implies reducing the number of digits in a given number to a preferred length. The two modes are significant figures, or decimal places.
Decimal places requires reducing the numbers of digits in a given number to a required number but considering the position of the decimal point. In significant figures, the length of the given number is reduced to a required number by not considering the position of the decimal.
In the given question, we are to convert 46.1031 to 4 significant figures.
This can be done by counting four digits, and rounding off the digits after.
So that we have;
46.1031 = 46.10 (4 sf)
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The conversation of 46.1031 to 4 significant figures would be = 46.10
What is a four significant figures?A four significant figures are those figures that shows that all zeros to the right of the last significant zero after the decimal point.
From the given figure such as 46.1031, to convert to four significant figures, 46.10
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The mean of 5 numbers is 8.four of the numbers are 7,9,11 and 5.find the fifth number.
Answer:
8
Step-by-step explanation:
One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.
When we subtract the mean from the given numbers, we find the differences are ...
-1, 1, 3, -3
The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.
The prices of 10 ceiling fans are shown in the line plot. Find the median price
If the prices of the ceiling fans are $50, $60, $70, $80, $90, $100, then the median price would be the average of $70 and $80, or $75.
What is the median price?Generally, To find the median price of the ceiling fans, you will need to arrange the prices in numerical order from least to greatest.
Once you have done this, you can find the median by identifying the middle value. If there are an odd number of prices, then the median will be the middle value.
If there are an even number of prices, then the median will be the average of the two middle values.
For example, if the prices of the ceiling fans are $50, $60, $70, $80, $90, then the median price would be $70, as it is the middle value.
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The complete Question was not found
The line plot is not found
What is the total surface area of the triangular prism in square yards?
a. 132 yds
b. 100 yds
c. 164 yds
d. 168 yds
Answer:
A
Step-by-step explanation:
The total surface area is 132 yd square. So, option A is correct.
How to determine the total surface area?From the question, we have the following dimensions
Length = 8 yd
Width = 5 m
Height = 4 m
The total surface area is then calculated as:
Substitute the known values in the above equation,
Total surface area = (5 x 8) + 1/2( 4 x 8) x 2 + 2( 5 x 7)
Evaluate the expression
Total surface area = 132
Hence, the total surface area is 132 yd square. So, option A is correct.
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The following function represents the population of an endangered bird where x is in
years
y = 200,000 (0.95)"
how many birds will there be in 10 years?
After 10 years, there will be approximately 131,501 birds based on the given function y = 200,000 (0.95)^x.
The given function y = 200,000 (0.95)^x represents the population of an endangered bird, where x represents the number of years. To find the population after 10 years, we substitute x = 10 into the function.
Plugging x = 10 into the function, we have y = 200,000 (0.95)^10. Calculating this, we get y ≈ 200,000 (0.5987) ≈ 119,741.
Therefore, after 10 years, there will be approximately 119,741 birds.
However, it's worth noting that the decimal representation is an approximation. If we round the result to the nearest whole number, the population after 10 years would be approximately 120,000 birds. Thus, the estimated number of birds after 10 years is approximately 120,000 (or 119,741).
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Help!!!! I will give Brainlist - Which graph best represents a function with a range of all real numbers greater than or equal to 8?
Answer:
it’s D, I just
Took the quiz
Answer:
Correct answer is C.
Step-by-step explanation.
one more than the reciprocal of a particular number is $\frac{7}{3}$. what is the original number expressed as a common fraction?
Original number = $\frac{3}{4}$. The original number expressed as a common fraction is $\frac{3}{4}$.
1. Reciprocal: This is the result of switching the numerator and denominator of a fraction (or dividing 1 by a whole number).
2. Original number: This is the number we're trying to find.
3. Common fraction: This is a fraction where the numerator and denominator are both integers (whole numbers).
Step 1: Set up the equation using the given information.
One more than the reciprocal of the original number is $\frac{7}{3}$. We can express this as an equation:
Reciprocal of the original number + 1 = $\frac{7}{3}$
Step 2: Solve for the reciprocal of the original number.
Reciprocal of the original number = $\frac{7}{3}$ - 1
Step 3: Simplify the equation.
Reciprocal of the original number = $\frac{7}{3}$ - $\frac{3}{3}$
Reciprocal of the original number = $\frac{4}{3}$
Step 4: Find the original number.
Since we have the reciprocal of the original number, we can find the original number by taking the reciprocal of this value:
Original number = $\frac{1}{(\frac{4}{3})}$
Step 5: Simplify the expression.
Original number = $\frac{1}{1} \times \frac{3}{4}$
Original number = $\frac{3}{4}$
The original number expressed as a common fraction is $\frac{3}{4}$.
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pls answer this asap
Answer:
its c or d
Step-by-step explanation:
which graph of ordered pais shows a proportional relationship? i need help lol
Walter, a 68-year-old single taxpayer, received $18,000 in social security benefits in 2021. He also earned $14,000 in wages and $4,000 in interest income, $2,000 of which was tax-exempt. What percentage of Walter's benefits will most likely be considered taxable income? None. Up to 50%. Up to 85%. Up to 100%.
The answer is that none of Walter's social security benefits will most likely be considered taxable income.
Walter, a 68-year-old single taxpayer, received $18,000 in social security benefits in 2021. He also earned $14,000 in wages and $4,000 in interest income, $2,000 of which was tax-exempt. To determine the percentage of Walter's benefits that will most likely be considered taxable income, we need to calculate his combined income.
Walter's total income is the sum of his social security benefits, wages, and interest income:
Total income = $18,000 + $14,000 + $4,000 = $36,000
However, we need to subtract the tax-exempt interest from his total income:
Total income - Tax-exempt interest = $36,000 - $2,000 = $34,000
To calculate the taxable part of Walter's social security benefits, we take half of his social security benefits and add it to his total income:
Taxable part = (Half of social security benefits) + Total income
Taxable part = ($18,000 ÷ 2) + $34,000
Taxable part = $9,000 + $34,000 = $43,000
Since Walter's combined income is less than $34,000, none of his benefits will be considered taxable income. Therefore, the answer is that none of Walter's social security benefits will most likely be considered taxable income.
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what is the value of the product {3-2i][3+2i}
Answer:
13
Step-by-step explanation:
Step 1: Write out expression
(3 - 2i)(3 + 2i)
Step 2: FOIL
F - 9
O - 6i
I - -6i
L - -4i²
Step 3: Combine
9 + 6i - 6i - 4i²
Step 4: Combine like terms
9 - 4i²
Step 5: Simplify
i² = -1
9 - 4(-1)
9 + 4
13
When the two lines are parallel, corresponding angles are ___
a always congruent
b supplementary
c never congruent
The equation x^2=1 has two solutions of the equation is changed to 4x^2=1 which operation
Answer:
for the x^2 =1 the first solution is 1x1 the other solution is -1x-1
4x^2=1 the "x" equals to 1/2
Step-by-step explanation:
Because the answer is "1" it is positive. Negative and negative equals to positive. Positive and positive equals to positive.
which one doesn't belong
Answer:
x - 3 = 6
Step-by-step explanation:
In all of the other equations... when you solve for x... you get x = 6.
x -3 = 6 does not end up with x = 6... rather x = 9 in that equation
Answer:
the 2nd one
Step-by-step explanation:
1. 6-2=4
2.9-3=6
3.6-5=1
4.6-6=0
all 6's except 2nd
The diagram shows a door lock.
B
2
3
4
The code is a letter followed by a number.
Write down all the possible codes,
write your answers like this: (A, 1)
You must write all of your answers on one line.