Which point is located at (4, -2, -3)?
O point A
O point B
O point C
O point D

Answer:

D

Step-by-step explanation:

the answer for this question

y = - x + 3

Answer:

V = 65.97π

Step-by-step explanation:

Answer:

g00gle is a really great source for these questions!

Just put in the information and they do they work!

Step-by-step explanation:

66 inches cubed since you round up .03 decimals!

or 65.97 if you aren't supposed to round

The correct answer is Danny's average rate of change is 0.13 miles per minute.

Rate of change is the amount of change in a certain quantity over a specific period of time. It is often used to measure how quickly a value is increasing or decreasing. For example, the rate of change of a company's profits is how much the profits increase or decrease over a certain period of time.

This answer can be determined using the slope formula which states that the average rate of change can be calculated by taking the change in the output (y) over the change in the input (x). In this case, the change in output is 5.85 - 2.6 = 3.25 miles and the change in input is 45 minutes - 20 minutes = 25 minutes. Therefore Danny's average rate of change is 3.25 miles/25 minutes = 0.13 miles per minute.

The slope formula is an important concept in mathematics and can be used to calculate the rate of change for a variety of applications. For example, in calculus, the slope formula can be used to calculate the rate of change of a function. It can also be used to calculate the rate of change of a line on a graph, which is what is being done in this problem. In this case, Danny's rate of change can be calculated by taking the change in output (miles run) over the change in input (minutes run). This gives us the answer of 0.13 miles per minute.

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The standard form of the equation Y=(x-2)² + 4 is written as y=x²-4x+6.

A standard form serves as a gauge for how widely scattered the data is in comparison to the mean.

The data are grouped around the mean when the standard deviation is low.

A parabola with the point at its vertex represents this equation (2,4). On a coordinate plane, the equation can be graphed, revealing a parabola that extends upwards and has a minimum value of 4 at the point (2,4).

The factored version of the equation

Y=(x-2)² + 4 is y =  (x-2) (x-2) + 4

This representation of the equation demonstrates that it is the result of two binomials. When the common element is eliminated, the equation can be made simpler (x-2).

The equation is now more easily expressed as

y = (x-2) (x-2) + 4 = (x-2)² + 4.

Expanded form of the equation

Y=(x-2)² + 4 is expressed as y = x² - 4x + 6.

This representation of the equation demonstrates that it is the outcome of expanding (x-2)².

You may use this equation to determine the vertex of the parabola, which is (2,4). The vertex is the location where the parabola's value is at its lowest.

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If the tanker driver worked the entire month of June without fail and received a per day salary of $100, his total salary for the month would be = 30 days (the number of days in June) x $100 per day = $3,000

Assuming the tanker driver worked every day in June, without taking any days off, and did not have any deductions or bonuses, his total salary for the month would be $3,000. However, if he took any days off or had any deductions, his total salary would be lower. It's also important to note that different companies may have different pay structures for their employees, so the per day salary of $100 may not apply universally.

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The complete question is :

Workout the june salary that was received by the tanker driver if he worked the entire month without fail. Assume that his daily wage is $100 and there is no deductions or bonuses.

Answer:

111

hope that helps!

The length of the straw is 3.74 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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Answer:

84,000 m + 36,000 p = 1,962,800

Step-by-step explanation:

Let m denotes number of miles of 2-lane roads the department could resurface and p denotes number of workers hired by the department of Streets of a city.

The cost of resurfacing a mile of 2-lane road is estimated at $84,000.

So,

Cost of resurfacing m miles of 2-lane road = $84,000 m

The average starting salary of a worker in the department is $36,000  a year

So,

Total salary paid to p workers = $36,000 p

Now, total amount is equal to $1,962,800.

84,000 m + 36,000 p = 1,962,800

An equation that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, p, if it spends the entire budget is given as follows  

\(84000\times m + 3600 \times p = 1,962,800.......(1)\)

Equation (1)  is the model equation for the given situation.

According  to  the question

Numbers of  miles of 2 lane road = m

Number of workers that could be hired = p

The cost of resurfacing a mile of 2-lane road is estimated at $84,000. /mile

here m and p are our variables

The average starting salary of a worker in the department is $36,000 /year

The Department of Streets of a city has a budget of $1,962,80.

So the Equation for the budget can be written as

\(84000\times m + 3600 \times p = 1,962,800.......(1)\)

Equation (1) represents One linear equation with two variables.

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Answer:

1. GH

2. a

Step-by-step explanation:

Perpendicular: When 2 lines meet at 90 degrees

1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)

2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too

This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees

Answer: 45 centimeters

Step-by-step explanation:

27 - 3

divide both by 3

9 - 1

multiply by 5

45 - 5

Answer:

45 Centimeters.

Step-by-step explanation:

27 / 3 = 9

9 x 5 = 45

Answer:

Look at explantation.

Step-by-step explanation:

5. It's the first and last one.

6. It's the third one.

Step-by-step explanation:

5: y=[x+3] FALSE

y=-[x-3] FALSE

y=-[x]-2 FALSE

y= [x+8]+5 FALSE

conclusion: none in 5 are right.

explanation: unable to identify a local extrema l

6: y=1/4[x]+5 FALSE

y=-[x]-2 TRUE

y= -7[x+5] TRUE

y= 3[x-2] FALSE

conclusion 2/4 are correct.

explanation: using desmos i could see that 2 had a. shift to the left and 2 were to the right

Answer:

y= 10+ 3x

10 is the admission fee

3x is the cost for each ticket

y is the total

The function for the total cost (y) spent by the event-goer at the event is

y = 3x+10

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, Admission costs $10, and each raffle ticket costs $3. There are no other possible costs.

Let the total cost be y,

Therefore, establishing the function, for x number of tickets.

y = 3x+10

Hence, the required function is y = 3x+10

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Answer:

x = 27

Step-by-step explanation:

3x - 4(4) = 65

3x - 16 = 65

3x = 81

x = 27

The  probability is the same as in part (d):

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

Let's begin by calculating the total number of ways to select two students from a group of 43. This can be done using the combination formula:

C(43,2) = (43!)/(2!(43-2)!) = 903

a. To calculate the probability that a male is selected first and then a female, we need to consider that there are 22 ways to select a male from the group of 43 students, and then 21 ways to select a female from the remaining 42 students. Therefore, the probability is:

(22/43) * (21/42) = 0.280 (rounded to the nearest thousandth)

b. To calculate the probability that a female is selected first and then a male, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 22 ways to select a male from the remaining 42 students. Therefore, the probability is:

(21/43) * (22/42) = 0.261 (rounded to the nearest thousandth)

c. To calculate the probability that two males are selected, we need to consider that there are 22 ways to select a male from the group of 43 students, and then 21 ways to select another male from the remaining 42 students. Therefore, the probability is:

(22/43) * (21/42) = 0.280 (rounded to the nearest thousandth)

d. To calculate the probability that two females are selected, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 20 ways to select another female from the remaining 42 students. Therefore, the probability is:

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

e. To calculate the probability that no males are selected, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 20 ways to select another female from the remaining 42 students. Therefore, the probability is the same as in part (d):

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

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The expected value or the average number of times a customer visits the store, given the probability distribution of X, is 1.4.

To find the expected value of X, we need to multiply each possible value of X by its corresponding probability and then sum up the products. In this case, we have:

E(X) = (0 x 0.1) + (1 x 0.4) + (2 x 0.4) + (3 x 0.1)

= 0 + 0.4 + 0.8 + 0.3

= 1.4

Therefore, the expected value or the average number of times a customer visits the store in a one week period is 1.4. This means that if we were to observe a large number of customers over a long period of time, we would expect the average number of visits per customer to be approximately 1.4.

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When we rotate a figure 90° counterclockwise each point changes thorugh the following rule.

then, since the initial coordinates of the figure are given, apply the transformation to each point

If we look at the flags shown, the correct ubication of the flag is:

Answer:

Step-by-step explanation:

AAS and SAS

The congruence theorems or postulates could be given as reasons why ABC= ADEF are SAS, AAS the correct options are A and F.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

\(\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF\)

(|AB| denotes length of line segment AB, and so on for others).

We are given that;

The diagram

Now,

Based on the information given in the diagram, we can use the following congruence theorems or postulates as reasons why ABC= ADEF:

SAS (Side-Angle-Side): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

We can use SAS to show that ABC and ADEF are congruent, since AB = AD, BC = DE, and the included angle BAC = the included angle EDF.

AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

We can use AAS to show that ABC and ADEF are congruent, since the included angles BAC and EDF are congruent, angle ABC is congruent to angle ADE (since they are vertical angles), and side BC is congruent to side EF.

Therefore, by congruent triangles the answer will be SAS, AAS.

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Answer:

C "38 degrees"

Step-by-step explanation: I got it correct on Pearson

Step-by-step explanation:

There are many different ways to simplify this. It could be

3(w-2)+4u , 2(2u-3)+3w , or something else.

The amount of money Mayte can spend on a daily basis is given by $ 111 .

Sellers and purchasers of products and services both accept money as a form of payment. When we purchase goods like food, clothing, a house, groceries, etc., we provide money in exchange. We exchange money for everything we buy. This is a straightforward swap.

In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, "," or occasionally "/," is used in computer code.

Mayte get a total money of  $977 from her parents so,

total = 977

She saves $200 for herself so now the remaining sum is

977 - 200 = 777

The rest she has to distribute in 7 days so, by using the simple dividation rule we get,

777/7 = 111

Therefore, much money can you spend daily is $111.

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Complete question:

Mayte is a foreign student and receives his parents $977 per week. She saves $200 and the rest is distributed among the 7 days of the week, How much money can you spend daily?​

Both of these are correct. When multiplying 32 and 8, we should follow these steps:

So, the correct answer is 256.

Here is the multiplication shown step-by-step:

 32
   8

 16 --> drop down 6 and carry the 1

1
32
   8

   6

24-   --> drop down the 4 and add 1; carry the 2

 56

2

 32
    8

   6

 5 -

2 - - --> drop down the 2 since no more digits available to multiply

256 --> the answer

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Answer:

\(y = \sqrt{ 900 - x\²\)

Step-by-step explanation:

In the complete question, the area of  the roller coaster is:

\(x\² + y^2 = 900\)

Required

Solve for y

We have:

\(x\² + y^2 = 900\)

Subtract \(x\²\) from both sides

\(y^2 = 900 - x\²\)

Take positive roots of both sides

\(y = \sqrt{ 900 - x\²\)

Answer:

29.70

Step-by-step explanation:

Add up purchases 4.35+8.20+12.45+2.5=27.50

calc sales tax 27.50 x .08=$2.20

27.50+2.20=29.70

The solution is, 29.70 is the total amount Charlotte will pay for her purchases if there is an 8% sales tax.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that.

from the given data, we get,

mouth wash = 4.35

detergent = 8.20

paper towels = 12.45

dish soap = 2.50

so, we get,

as total,

Add up purchases 4.35+8.20+12.45+2.5=27.50

now, we get,

calc sales tax 27.50 x .08=$2.20

so, we have,

27.50+2.20=29.70

Hence, The solution is, 29.70 is the total amount Charlotte will pay for her purchases if there is an 8% sales tax.

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Both sections cover important mathematical concepts with challenging aspects but also offer numerous applications for various professional fields and everyday life.

In Section 1, computing partial derivatives algebraically can be tricky and frustrating because it involves using the chain rule, product rule, and quotient rule in complex functions. However, it can also be exciting to see how these rules can be applied to find rates of change in multivariable functions.

Two things that could be useful as a scientist, engineer, mathematician or in your personal life from this section are:
1. Understanding partial derivatives can help in optimizing systems in engineering and science.
2. Partial derivatives can also be used in finance to calculate sensitivity analysis in portfolio management.

In Section 2, local linearity and the differential can be difficult to grasp because it involves understanding the tangent plane of a surface and how it approximates the surface near a point. However, it can be exciting to see how this concept can be applied to approximating solutions to nonlinear equations.

Two things that could be useful as a scientist, engineer, mathematician or in your personal life from this section are:
1. Local linearity can be used in computer graphics to render 3D objects.
2. The differential can be used in physics to calculate small changes in variables in differential equations.

Section 1: Computing Partial Derivatives Algebraically
1. Tricky aspects:
  a. Differentiating with respect to one variable while treating other variables as constants can be challenging, especially in functions with multiple variables.
  b. Applying the chain rule for partial derivatives may be confusing for some due to the interplay of different variables.

2. Applications:
  a. Scientists and engineers use partial derivatives to model and understand how different parameters affect complex systems.
  b. Mathematicians use partial derivatives in optimization problems to find the maxima or minima of multivariable functions.

Section 2: Local Linearity & The Differential
1. Tricky aspects:
  a. Understanding the concept of local linearity and how it connects to differentiability can be challenging for some learners.
  b. Applying differentials to approximate changes in functions can be tricky due to the need to find the right balance between accuracy and simplicity.

2. Applications:
  a. Engineers use the concept of local linearity to analyze how systems behave under small changes and make approximations that simplify their calculations.
  b. In personal life, differentials can be used to estimate how small changes in one aspect, like the price of a product, might affect the overall cost.

In summary, both sections cover important mathematical concepts with challenging aspects but also offer numerous applications for various professional fields and everyday life.

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Answer: 1.9 or 90%

Step-by-step explanation: it’s worth it x

Answer:

Step-by-step explanation:

This "subtraction problem" involves: "one value" minus "another value":
The first value is:  " 10m³n²σ⁵ " ;

The second value is:  25m⁴nσ " ;
_________________________
The problem to be solved is:
  " 10m³n²σ⁵ − 25m⁴nσ = ?? ;  

 Let us "factor out" what we can—considering the two (2) values:
  1)  " 10m³n²σ⁵ " ; and:
  2) " 25m⁴nσ " ;

The GCF ["Greatest Common Factor"] of:
 "10" and "25" :
______________________
List the factors for Both "10" and for "25"—as follows:

 10: 1, 2, 5, 10.
25: 1,  5, 25.
        → The GCF for "10 and 25" is "5".
→ Note that the GCF for " m³ and m⁴ " is "m³ ."

→ Note that the GCF for: " n²  and n" is "n".   {Note:  " n  =  n¹ ".}

→ Note that the GCF for: " σ⁵  and "σ" is "σ".  {Note:  " σ =  σ¹ ".}

So, the GCF for entire problem:

Factor out:  " 5m³nσ"

________________________

The first expression:
 10m³n²σ⁵  ;

 Factor out:  (5m³nσ} ;

   (5m³nσ} (2*1*nσ⁴}
  =   (5m³nσ} (2nσ⁴}

______________________

The second expression:
 25m⁴nσ ;

Factor out:
  (5m³nσ} (5m*1*1} ;

 = {5m³nσ} (5m} .

________________________
So:

  (5m³nσ} (2nσ⁴} − (5m³nσ}  (5m} ;

  =    {5m³nσ} * (2nσ⁴ − 5m) ;   {Note:  {" ax − ay  =  a(x − y) "}.

Now, simplify:
 

{5m³nσ} * (2nσ⁴ − 5m) =

 {5m³nσ} * 1(2nσ⁴ − 5m) ;

   →  1 (2nσ⁴ − 5m) ;   Note:  a(b+c) = ab + ac ;  

                                               a(b−c) = ab − ac ;

  1 (2nσ⁴ − 5m) = 2nσ⁴ + (-5m)

                          = 2nσ⁴ − 5m ;
Now bring down the:

 {5m³nσ} ; and rewrite:
     ⇒  {5m³nσ}*(2nσ⁴ − 5m);  Note: a(b+c) = ab + ac ;  ==> again:
 in which:  a = 5m³nσ ;  b = 2nσ⁴ ; c = -5m ;
      →   {5m³nσ}*(2nσ⁴ - 5m} =
             [5m³nσ}*(2nσ⁴} +  {5m³nσ}{-5m) ;

Start with the "left-hand side" of the problem; ^directly above:
[5m³nσ}*(2no⁴} = 5*2*m³*n²σ⁵  = 10m³*n²σ⁵ ;

Then: We shall examine the "right-hand side" of the above:
   "{5m³nσ}{-5m)" ;

        →   {-25m⁴nσ);

________________
Then, we shall add these values together:
 10m³*n²σ⁵  +  (-25m⁴nσ);

   = 10m³*n²σ⁵  − 25m⁴nσ);

Answer: A, C, 57

Step-by-step explanation:

I multiply by 0.40 for the first one, and then multiply by 1.0625. 0.40 = 40% and multiplying by 1.0625 is the same as adding 6.25%. For the second, I multiply by 0.70 because that is 70%. For the last, I multiply by 0.95 for the same reason.

the general solution to the given differential equation is:

\(xy^{2e}^{2xy} +\frac{1}{2} x^2 + yxe^{2xy} + C = 0\)

where C is an arbitrary constant.

To determine the value of b for which the given equation is exact, we need to check if the partial derivatives of the coefficients with respect to y are equal. Let's calculate these partial derivatives:

∂/∂y (\(ye^{2xy} + x\)) = (\(2xye^{2xy}\)) + 0 = \(2xye^{2xy}\)

∂/∂x (\(bxe^{2xy}\)) = b(\(e^{2xy} + 2xye^{2xy}\))

For the equation to be exact, we require that ∂/∂y (\(ye^{2xy} + x\)) = ∂/∂x (\(bxe^{2xy}\)).

Comparing the two partial derivatives, we have:

\(2xye^{2xy} = b(e^{2xy} + 2xye^{2xy})\)

To find the value of b, we equate the coefficients of the terms involving \(e^{2xy}\):

2xy = 2xyb

From this equation, we can see that b = 1 satisfies the condition. Therefore, the value of b for which the given equation is exact is b = 1.

Now that we know the equation is exact for b = 1, we can proceed to solve it. Let's find the potential function F(x, y) such that ∂F/∂x = \(ye^{2xy}\) + x and ∂F/∂y = \(bxe^{2xy}\).

Integrating the first equation with respect to x, we obtain:

F(x, y) = ∫(\(ye^{2xy} + x\)) dx = \(xy^{2e}^{2xy} +\frac{1}{2} x^2 + g(y)\)

where g(y) is the constant of integration with respect to x.

Now, we differentiate F(x, y) with respect to y and set it equal to \(bxe^{2xy}\):

∂F/∂y = \(2xye^{2xy} + g'(y) = bxe^{2xy}\)

Comparing the coefficients of the terms involving xy, we get:

2xy = bx

From this equation, we find that b = 2.

Therefore, the potential function F(x, y) is given by:

\(F(x, y) = xy^{2e}^{2xy} + \frac{1}{2} x^2 + g(y)\)

Substituting b = 2, we have:

\(F(x, y) = xy^{2e}^{2xy} + \frac{1}{2} x^2 + g(y)\)

Now, to find g(y), we can substitute the potential function into the equation and solve for g(y).

\((bxe^{2xy})dy\) = ∂F/∂y dy

\(2xye^{2xy} dy\) = ∂F/∂y dy

Integrating both sides with respect to y, we obtain:

∫\(2xye^{2xy}\) dy = ∫g'(y) dy

\(xye^{2xy} + C = g(y)\)

where C is the constant of integration with respect to y.

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