Ma smith invested $1240 more in stock A than in stock B if she invested a total of $6000 in the two stock How much did she invest in stock A?

Answer:

m=1/128

Step-by-step explanation:

Answer:

m=128

Step-by-step explanation:

-7/8m=-112

x represents the number of wooden fences

and

y represents the number of metal fences

The profit for each wooden fence is 340

The profit for each metal fence is 290

The function for total profit will be :

p = 340x + 290y

Step-by-step explanation:

g=15

3

g=5

hope U mean this.

Answer:

g = 5

Step-by-step explanation:

First, find a number in common between 15 and 3, which is 5. If you divide 15 by 3 you'd know that g is 5.

Absolute maximum point: (π/10, 2).

Absolute minimum point: (π/6, -3).

Given function is: f(t) = -2sin(5t) - sin(10t)The function is defined on the closed interval [0,π/10]. We need to find the absolute maximum and absolute minimum values of the given function in the interval [0,π/10].

Absolute extrema are the highest and lowest points on a function, either over its entire domain or within a certain range (interval). If the given interval is closed and bounded, the function will have both an absolute maximum and an absolute minimum in that interval.

First, we need to find the critical points of the function f(t) in the given interval. Critical points of f(t) in the interval [0,π/10] are obtained by equating the derivative of f(t) to zero.∴ f'(t) = -10 cos(5t) - 10 cos(10t) = 0⇒ cos(5t) + cos(10t) = 0.

Using the formula 2cosAcosB = cos(A+B) + cos(A-B), we can simplify the above equation.∴ cos(5t) + cos(10t) = 2cos(7.5t)cos(2.5t) = 0⇒ cos(7.5t) = 0 or cos(2.5t) = 0Solving for cos(7.5t) = 0, we get t = π/30, 5π/30 = π/6, and 7π/30.Solving for cos(2.5t) = 0, we get t = π/10, 3π/10, 7π/10, and 9π/10.

Now, we can find the absolute extrema of f(t) in the given interval by calculating the function values at the critical points and the endpoints of the interval.∴ f(0) = -2sin(0) - sin(0) = 0∴ f(π/10) = -2sin(π/2) - sin(π) = 2∴ f(π/6) = -2sin(5π/6) - sin(π) = -3∴ f(π/30) = -2sin(π/6) - sin(π/3) = -3/2∴ f(3π/10) = -2sin(3π/2) - sin(3π) = 2∴ f(π/2) = -2sin(5π/2) - sin(5π) = 0.

The maximum value of f(t) in the interval [0,π/10] is 2, and the minimum value is -3. The absolute maximum point is (π/10, 2), and the absolute minimum point is (π/6, -3).Therefore, the required answers are:Absolute maximum point: (π/10, 2)Absolute minimum point: (π/6, -3)

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Answer:

true

Step-by-step explanation:

if each of the left has one right its a function if b had 12 and 3 it would not be a function so its a function because b and a has 3.

Answer:

*Most of these, you just have to get the variable by itself. To check, put the answer in for the letter.*

1. b+8=14

Subtract 8 from both sides

b=6

Check: 6+8=14 ——— 14=14

2. 25-t=15

Subtract 25 from both sides

-t = -10 ––Divide both sides by -1

t=10

Check: 25-10=15 ——— 15=15

3. 9p=81

Divide both sides by 9 to get p alone

p=9

Check: 9(9)=81 ——— 81=81

4.  y/7= 2

Multiply both sides by 7 to cancel out the fraction

y=14

Check: 14/7=2 ——— 2=2

5. y+6=10

Subtract 6 from both sides

y=4

Check: 4+6=10 ——— 10=10

6. f-4=9

Add 4 to both sides

f=13

Check: 13-4=9 ——— 9=9

7. 8d=48

Divide both sides by 8 to get d alone

d=6

Check: 8(6)=48 ——— 48=48

8. 10 = r/5

Multiply both sides by 5 to cancel out the fraction

50 = r

Check: 10=50/5 ——— 10=10

9. 15=x/3

Multiply by 3 to cancel out the fraction

45=x

Check: 15=45/3 ——— 15=15

Answer:

12

Step-by-step explanation:

Hello. Y/x = a constant k because y and x are by definition always in the same ratio. (y varies directly as x so if x is doubled y is also doubled etc.)

To approximate the value of y(0.9), we can use linear approximation, also known as the tangent line approximation.

The linear approximation involves finding the equation of the tangent line to the curve at a given point and using it to estimate the function value at a nearby point.

Given that y = x + ln(x), we want to approximate the value of y(0.9). First, we find the derivative of y with respect to x, which is 1 + 1/x. Then we evaluate the derivative at x = 1, which gives us a slope of 2.

Next, we determine the equation of the tangent line at x = 1. Since the function passes through the point (1, 1), the equation of the tangent line is y = 2(x - 1) + 1.

Finally, we can use this linear equation to approximate the value of y(0.9). Substituting x = 0.9 into the equation, we get y(0.9) ≈ 2(0.9 - 1) + 1 = 0.8.

Therefore, using linear approximation, the approximate value of y(0.9) is 0.8.

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COMPLETE QUESTION:

et A = a 3 x 3 matrix and b = some set of three numbers. W= Span{a1,a2,a3}

is b in {a1,a2,a3}? How many vectors are in {a1,a2,a3}?

ANSWER:

Regarding the number of vectors in {a1, a2, a3}, it depends on whether these vectors are linearly independent or not. If they are linearly independent, then the number of vectors in {a1, a2, a3} would be 3.

To determine whether the vector b is in the span of the vectors a1, a2, and a3, we need to check if b can be expressed as a linear combination of those vectors.

Let's assume A is the matrix formed by arranging the vectors a1, a2, and a3 as columns:

A = [a1 | a2 | a3]

To check if b is in the span of a1, a2, and a3, we can solve the following system of equations:

A * x = b

where x is a column vector of coefficients that we need to find.

If there exists a solution for x, then b is in the span of a1, a2, and a3. Otherwise, it is not.

Regarding the number of vectors in {a1, a2, a3}, it depends on whether these vectors are linearly independent or not. If they are linearly independent, then the number of vectors in {a1, a2, a3} would be 3. However, if they are linearly dependent, it means that one or more vectors can be expressed as a linear combination of the others, and the number of vectors in {a1, a2, a3} would be less than 3.

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Summary: The domain of a is not provided in the question, making it impossible to determine the correct answer without further information.

Explanation: The question does not provide any specific information about the variable or function represented by "a." Consequently, without knowing the context or given conditions, it is not possible to determine the domain of a. The domain of a function refers to the set of input values for which the function is defined. It can vary depending on the specific problem or mathematical expression involved. Therefore, without additional details, it is not feasible to provide an accurate answer for the domain of "a." To determine the domain, it is necessary to have more information about the context in which "a" is being used, such as the type of function or the given constraints.

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Answer:

3,4,5,6,..................any number bigger than 3 can be taken as the answer

Answer: 3 and 4

Step-by-step explanation:

2(3) - 3

6 - 3 = 3

3 > 1

2(4) - 3

8 - 3 = 5

5 > 1

The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.

Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:

x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0

Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).

Therefore, the vertex of the quadratic function is (0, 0).

In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

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Answer:

M = -13

Step-by-step explanation:

Divide both sides by -4−4.

m−26=3m

Subtract mm from both sides.

−26=3m−m

Simplify  3m - m  to  2m.

−26=2m

Divide both sides by 2

− 26/2=m

Simplify 26/2 to 13

-13=m

Switch sides.

m=13

Answer:

-13

Step-by-step explanation:

1. First distribute                      

2. Then get m on one side by adding 4m to both sides

3. Combine the numbers with the variable m

4. You need to get m by itself so divide both sides of the equation by -16

5. You should get m=-13

1.-4(m-26)=-4m+104  4m+4m+104=-12m

2. 104=-12m-4m

3. 104=-16m

4. 104/-13=-16/-16m

5. -13=m

Answer: f(x)=x^(2)+14x+40

Answer:

Order of Operations

Step-by-step explanation:

I'm not sure what terms you're using but the order of operations gives you the order of what operation to do first in a problem

The range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.

Andy's calculation of the range of ages as 39, based on subtracting the minimum age from the maximum age (50 - 11), is incorrect. The range of a set of values represents the difference between the maximum and minimum values, but it does not necessarily reflect the actual span or dispersion of the values within that range.

In the context of ages, the range refers to the difference between the highest and lowest ages in a given group. However, this calculation alone does not provide any information about the distribution or spread of ages within that range.

For example, if a group consists of individuals with ages 11, 12, 13, 14, ..., 49, 50, the range would still be 39 years (50 - 11). However, the ages within that range are evenly distributed and not widely spread.

On the other hand, if the group has ages 11, 11, 12, 13, ..., 49, 50, the range would still be 39 years, but the ages are tightly clustered around the lower end of the range.

Therefore, while the range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.

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The probability that exactly four people get the right letter is 1/120.

Let the people form a line and the envelopes are on the table.

The first person has a 1 in 5 chance of selecting the right letter.  (He selects the correct one)

Now there are 4 on the table so the second person has a 1 in 4 chance of getting the right one (He selects the correct one)

Now there are 3 on the table so the second person has a 1 in 3 chance of getting the right one (He selects the correct one)

Now there are 2 on the table so the second person has a 1 in 2 chance of getting the right one (He selects the correct one)

and so on

so

P(everyone getting the correct letter) = 1/5*1/4*1/3*1/2*1/1=1/5!=1/120.

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the value of y is -1

The sample space consists of the following outcomes: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T

To state the sample space, we'll consider all the possible outcomes of rolling a die and flipping a coin. There are 6 possible outcomes for the die (1-6) and 2 possible outcomes for the coin (heads or tails).

We'll use notation like 1h means rolling a 1 on the die and flipping heads on the coin, 1t means rolling a 1 on the die and flipping tails on the coin, 2h means rolling a 2 on the die and flipping heads on the coin, and so on.

The sample space consists of the following outcomes: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T

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The spherical coordinate expression for F(x, y, z) is:

\(F(\rho , \theta , \phi) = \rho^5*sin^3(\theta)*cos^2(\theta)*sin(\phi)^2 + \rho^2*sin^2(\phi)^2, where \rho = \sqrt{x^2 + y^2 + z^2}, \theta = arctan(y/x), and \phi = arccos(z/\rho).\)

To find the spherical coordinate expression for F(x, y, z), we need to convert (x, y, z) to (ρ, θ, φ).

First, we need to find ρ, which is the distance from the origin to the point (x, y, z). Using the formula for ρ in spherical coordinates, we have:

\(\rho = \sqrt{x^2 + y^2 + z^2}\)

Next, we need to find θ and φ, which are the angles that the point (x, y, z) makes with the positive x-axis and positive z-axis, respectively. Using the formulas for θ and φ in spherical coordinates, we have:

θ = arctan(y/x)
φ = arccos(z/ρ)

Finally, we can express F(x, y, z) in terms of (ρ, θ, φ) using the following formula:

\(F(\rho, \theta , \phi) = \rho^5*sin^3(\theta)*cos^2(\theta)*sin(\phi)^2 + \rho^2*sin^2(\phi)^2\)

Therefore, the spherical coordinate expression for F(x, y, z) is:

\(F(\rho , \theta , \phi) = \rho^5*sin^3(\theta)*cos^2(\theta)*sin(\phi)^2 + \rho^2*sin^2(\phi)^2, where \rho = \sqrt{x^2 + y^2 + z^2}, \theta = arctan(y/x), and \phi = arccos(z/\rho).\).

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Answer:

No, because the statement explains a parallelogram also.

Step-by-step explanation:

A rectangle is a quadrilateral that has four sides which has a set of equal opposite sides that are parallel to each other. The sum of all angles in a rectangle = \(360^{0}\)

No, he can not conclude that ABCD is a rectangle with the statement because the statement is applicable to a parallelogram also. He could add that opposite sides are straight and parallel. So that:

<ABC = CDA = \(90^{0}\) (right angle property)

<DAB = <BCD = \(90^{0}\) (right angle property)

Hey there!

Guide

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative

Negatives are on the LEFT side of 0

Positives are on the RIGHT side of 0

Negatives are BELOW 0

Positives are ABOVE 0

ANSWERING YOUR QUESTIONS

Question #1

-3 - (-5)

= -3 + 5

= 2

Therefore, your answer is: 2

Question #2

-4 + 6

= 2

Therefore, your answer is: 2

Question #3
-5 + (-6)

= -5 - 6

= -11

Therefore, your answer is: -11

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Random note: You can use a number line to tackle problems like this. :)

Answer:

11/4 the second one

multiply 2 and 4 then add 3

\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)

a) the population cannot be negative, the limiting population is 4300.

b)the population is increasing when 0 < p < 4300 and decreases when p > 4300.

c)the equilibrium solutions are p = 0 and p = 4300.

(a) To determine when the population is increasing or decreasing, we need to look at the sign of dp/dt.

\(\frac{dp}{dt} = 1.2p(1 - \frac{p}{4300})\)

For dp/dt to be positive (i.e. population is increasing),

we need\(1 - \frac{p}{4300} > 0, or \ p < 4300.\)

For dp/dt to be negative (i.e. population is decreasing),

we need\(1 - \frac{p}{4300} < 0, or p > 4300.\)

Therefore, the population is increasing when 0 < p < 4300 and decreases when p > 4300.

(b) To find the limiting population, we need to find the value of p as t approaches infinity.

As t approaches infinity,\(\frac{dp}{dt}\)approaches 0. Therefore, we can set \(\frac{dp}{dt}\) = 0 and solve for p.

0 = 1.2p(1 - p/4300)

Simplifying, we get:

0 = p(1 - p/4300)

So, either p = 0 or 1 - p/4300 = 0.

Solving for p, we get:

p = 0 or p = 4300.

Since the population cannot be negative, the limiting population is 4300.

(c) Equilibrium solutions occur when\(dp/dt = 0.\)We already found the equilibrium solutions in part (b): p = 0 and p = 4300.

Therefore, the equilibrium solutions are p = 0 and p = 4300.

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a)  The population is increasing when 0 < p < 4300, and  decreasing when p > 4300.

b)  The population cannot be negative, the limiting population is 4300.

c)  these are the equilibrium solutions.  At p = 0, the population is not

increasing or decreasing, and at p = 4300,  the population is decreasing

but not changing in size.

(a) To determine when the population is increasing or decreasing, we

need to find the sign of dp/dt. We have:

dp/dt = 1.2p(1 - p/4300)

This expression is positive when 1 - p/4300 > 0, i.e., when p < 4300, and

negative when 1 - p/4300 < 0, i.e., when p > 4300.

Therefore, the population is increasing when 0 < p < 4300, and

decreasing when p > 4300.

(b) To find the limiting population, we need to solve for p as t approaches infinity. To do this, we set dp/dt = 0 and solve for p:

1.2p(1 - p/4300) = 0

This equation has two solutions: p = 0 and p = 4300. Since the population cannot be negative, the limiting population is 4300.

(c) To find the equilibrium solutions, we need to solve for p when dp/dt = 0. We already found that the only solutions to dp/dt = 0 are p = 0 and

p = 4300.

Therefore, these are the equilibrium solutions.

At p = 0, the population is not increasing or decreasing, and at p = 4300,

the population is decreasing but not changing in size.

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The solution to the expression 3x - 7x - 6 is -4x - 6

From the question, we have the following parameters that can be used in our computation:

3x - 7x - 6

When the like terms are evaluated, we have

3x - 7x - 6 = -4x - 6

The above expression cannot be further simplified

Hence, the solution is -4x - 6

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List all the ordered pairs in the relation

R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}.

c. (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 2) (2, 4) (2, 6) (3, 3) (3, 6)

List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6} is (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 2) (2, 4) (2, 6) (3, 3) (3, 6) (4, 4) (5, 5) (6, 6)

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

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Answer:

x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.

The solution of the expression ''12 more than 5'' would be 17.

Used the concept of addition that states,

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that,

The expression is,

''12 more than 5''

Now, we can evaluate the expression as,

12 more than 5

Here the term ''more than'' means to add the number.

So, it can be written as,

''12 more than 5''

= 12 + 5

Add the numbers,

= 17

So, the solution of the expression is 17.

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Answer:

\(-1\frac{1}{10}\)

Step-by-step explanation:

\(-\frac{8}{5} +\frac{1}{2}\)

→ Make a common denominator

\(-\frac{16}{10} +\frac{5}{10}\)

→ Simplify

\(-\frac{11}{10}\)

→ Convert into mixed number

\(-\frac{11}{10}=-1\frac{1}{10}\)