is alice looking at a region of maximum brightness, minimum brightness, or neither? explain your reasoning.

Answer:

\({ \boxed{ \mathfrak{ \: answer : }}} \\ { \rm{2x + 3 {y}^{2} - 2(x - {y}^{2}) }} \\ = { \rm{2x + 3 {y}^{2} - 2x + 2 {y}^{2} }} \\ = { \rm{(2x - 2x) + (3 {y}^{2} + 2 {y}^{2} ) }} \\ \\ = { \underline{ \rm{ \: 5 {y}^{2} \: }}}\)

Answer:

5y²

Step-by-step explanation:

2x+3y²-2(x-y²)=2x+3y²-2x+2y²

=2x-2x+3y²+2y²

=5y²

Answer: 2 (3x-1) (x+1)

Step-by-step explanation: Add and subtract the second term to  the expression and factor by grouping.

The solution to the linear programming problem is:

Maximum value of z = 120

x₁ = 0, x₂ = 6

To solve the given linear programming problem using the graphical method, we first need to plot the feasible region determined by the constraints and then identify the optimal solution.

The constraints are:

x₁ + x₂ ≥ 12

x₁ + x₂ ≤ 6

x₁, x₂ ≥ 0

Let's plot these constraints on a graph:

The line x₁ + x₂ = 12:

Plotting this line on the graph, we find that it passes through the points (12, 0) and (0, 12). Shade the region above this line.

The line x₁ + x₂ = 6:

Plotting this line on the graph, we find that it passes through the points (6, 0) and (0, 6). Shade the region below this line.

The x-axis (x₁ ≥ 0) and y-axis (x₂ ≥ 0):

Shade the region in the first quadrant of the graph.

The feasible region is the overlapping shaded region determined by all the constraints.

Next, we need to find the corner points of the feasible region by finding the intersection points of the lines. In this case, the corner points are (6, 0), (4, 2), (0, 6), and (0, 0).

Now, we evaluate the objective function z = 15x₁ + 20x₂ at each corner point:

For (6, 0): z = 15(6) + 20(0) = 90

For (4, 2): z = 15(4) + 20(2) = 100

For (0, 6): z = 15(0) + 20(6) = 120

For (0, 0): z = 15(0) + 20(0) = 0

From the evaluations, we can see that the maximum value of z is 120, which occurs at the corner point (0, 6).

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The proportion of the students will have sufficient time to complete the test is of 0.9938 = 99.38%, using the normal distribution.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is given by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the time needed to complete the test are given as follows:

\(\mu = 50, \sigma = 12\)

The proportion is the p-value of Z when X = 80, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (80 - 50)/12

Z = 2.5

Z = 2.5 has a p-value of 0.9938.

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Step-by-step explanation:

x+55+80=180(sum of triangle)

or,x+135=180

or,x=180-135

or,x=45

Therefore,x=45°

The value of X or angle C is 45 degrees.

Given:

Two angles of triangle ABC are 80 degrees and 55 degrees.

It is required to find the value third angle X of the triangle.

The sum of three angles of a triangle is 180°.

So, the third angle, X, can be calculated as,

\(80+55+x=180\\135+x=180\\x=45^{\circ}\)

Thus, we can conclude that the value of X is 45°.

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The expressions which demonstrates the identity property of multiplication is; 25(1) = 25 option B

Identity Property of Multiplication states that any number multiplied by 1 does not change, that is, it is constant or remains the same

Check all options

25(0) = 25

0 = 25

Not true

25(1) = 25

25 = 25

True (identity property of multiplication holds)

25 + 0 = 25

25 = 25

True (Not identity property of multiplication)

25 + 1 = 25

26 = 25

Not true

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Answer:

Step-by-step explanation:

Let the number of free throws = x

And the number of regular field goals = y

Total shots made by the team = 31

Equation for the shots will be,

x + y = 31 ------(1)

If the team gets 1 point for free throws and 2 points for a regular field goal,

x + 2y = 49 --------(2)

[total points gained by the team = 49]

1). Option (2) is the correct option.

2). Subtracting equation (1) from equation (2),

  (x + 2y) - (x + y) = 49 - 31

  y = 18

  Therefore, number of  regular field goals made by the team = 18

Answer:

720

Step-by-step explanation:

interior angles  of a hexagon is 720

Answer:

not equal to

Step-by-step explanation:

11*2-2*2=18

2*2-11*2=-18

18≠-18

Answer:

Is not, and the term is -2t.

Step-by-step explanation:

The derivative of y=cos-1(2x) sin-1(2x) is dy/dx  is calculated to be 4cos-2(2x) sin-2(2x) - 4sin-2(2x) cos-2(2x)   (using chain rule).

To find dy/dx of y=cos-1(2x) sin-1(2x), we can use the chain rule. The chain rule states that if y is a function of u and u is a function of x, then dy/dx = dy/du * du/dx. Therefore, we can find dy/dx by finding dy/du and du/dx.

First, we will find dy/du. Taking the derivative of y with respect to u, we have:
dy/du = (cos-2(2x) * -2) * sin-1(2x) + (sin-2(2x) * -2) * cos-1(2x)
dy/du = -2cos-2(2x) sin-1(2x) - 2sin-2(2x) cos-1(2x)

Next, we will find du/dx. Taking the derivative of u with respect to x, we have:
du/dx = (cos-2(2x) * -2) + (sin-2(2x) * -2)
du/dx = -2cos-2(2x) - 2sin-2(2x)

Finally, using the chain rule, we can find dy/dx by multiplying dy/du and du/dx:
dy/dx = (-2cos-2(2x) sin-1(2x) - 2sin-2(2x) cos-1(2x)) * (-2cos-2(2x) - 2sin-2(2x))
dy/dx = 4cos-2(2x) sin-2(2x) - 4sin-2(2x) cos-2(2x)

Therefore, the derivative of y=cos-1(2x) sin-1(2x) is dy/dx = 4cos-2(2x) sin-2(2x) - 4sin-2(2x) cos-2(2x).

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Answer:✨Samantha✨

Step-by-step explanation:

Answer:

$ 3820

Step-by-step explanation:

When the car is new, it is 0 year old. It means, t = 0

Initial value = 26,000 (0.84)^0 = 26,000(1)

Initial value = $ 26000

Similarly, when car is 11 year old, t = 11

=> 26000(0.84)¹¹ = 26000(0.14691)

≈ $ 3819.842

≈ $ 3820 (round to near ten)

Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

The scale ratio that Angie used for the drawing is 25 centimeters : 862 meters.

Scale ratio is a mathematical expression of the relationship between the measurements of an object or space in a drawing or model compared to the measurements of the actual object or space.

A fraction is a mathematical expression that represents a part of a whole. It is written as one number (the numerator) over another number (the denominator), separated by a horizontal or diagonal line.

We can use the scale ratio formula to find the scale that Angie used for the drawing:

Scale ratio = length in drawing / actual length

In this case, the length of the parking lot in the drawing is 348 centimeters, and the actual length of the parking lot is 120 meters. We can convert the units so that they are consistent, for example, by converting the length in the drawing to meters:

Scale ratio = 348 cm / 120 m

Simplifying this ratio, we can convert the length in centimeters to meters by dividing by 100:

Scale ratio = 3.48 m / 120 m

Simplifying further, we can divide both terms by 3.48 to get:

Scale ratio = 1 / 34.48

To express this ratio in the form of a fraction of centimeters to meters, we can multiply the numerator and denominator by 100 to get:

Scale ratio = 100 cm / 3448 cm = 25 / 862

So the scale that Angie used for the drawing is 25 centimeters : 862 meters.

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The co-ordinates of J'K'L'M'N' are (0,5), (-2,3), (-3,4), (-4,1), (-1,2)

What is Co-ordinate Geometry?

Coordinate geometry is a field of mathematics that assists in displaying geometric forms on a two-dimensional plane and learning the attributes of these figures.

Solution:

The co-ordinates of J'K'L'M'N' are (0,5), (-2,3), (-3,4), (-4,1), (-1,2)

From the figure it can be clearly observed that

a) L' is located at (-3,4) - True

b) M' is located 4 units left of the y - axis - True

c) The y - co ordinate of zN' is the opposite of the y - co ordinate of N - False

d) J'K' = JK - False

e) M' is located at (-4,1) - True

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Answer: $2400

Step-by-step explanation:

Given

Maria got a hike of 3%.

After the hike she earns $2472 each month

Suppose, before hike she earns x each month

\(\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400\)

Thus, she earns $2400 before the hike.

The volume of the figure is 1, 005. 4 mi³

Note that the figure is a cylinder

The formula for volume of a cylinder is given as;

Volume = πr²h

Where

h = height = 5 mi

r = radius = 8mi

Substitute into the volume

Volume = 3. 142 × 8 × 8 × 5

Volume = 1,005. 4 mi³

Thus, the volume of the figure is 1, 005. 4 mi³

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the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.

To determine how often the hotel should use the pickup-and-delivery service, we need to compare the costs of storing the dirty towels and clean towels with the costs of the pickup-and-delivery service.

Let's calculate the costs of storing the towels:

Dirty towel storage cost per day: 600 towels x $0.02 = $12 per day

Clean towel storage cost per day: 600 towels x $0.01 = $6 per day

Next, let's calculate the costs of the pickup-and-delivery service:

Fixed charge per pickup and delivery service: $81

Variable cost per towel: 600 towels x $0.60 = $360

Now, let's compare the costs:

If the hotel uses the pickup-and-delivery service every 10 days, the total cost would be:

10 days  ($12 + $6) + $81 + $360 = $267

If the hotel uses the pickup-and-delivery service every 9 days, the total cost would be:

9 days  ($12 + $6) + $81 + $360 = $255

Since the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.

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Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.

Let P be the principal amount of $7,000

Let r be the annual interest rate of 6%

Let n be the number of compounding periods per year.

Using formula for simple interest: I = Prt, the interest earned after 60 months is:

I = 7,000 × 0.06 × 5

I = $2,100.

Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:

\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)

The interest earned is:

I = A - P

I = $9441.95 - $7,000

I = $2,441.95.

The difference in interest earned between compound and simple interest is:

= $2,441.95 - $2,100

= $341.95.

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Answer:

C. Log base b (a) - Log base b (d)

Step-by-step explanation:

In logarithm, log means index or exponent. It can be explained with following example. Consider 2^5 = 32

here index = log = 5 so you can write the log of 32 = 5

Consider 64/16 = 4

now 64 = 2^6 and 16 = 2^4

We can write log 2(64) = 6 and log2(16)=4

Now log 64/16= log 4= 2

Also log2(64)-log2(16)=6-4=2

Therefore

Log base b (a/d) = Log base b (a) - Log base b (d)

99^2= 99*99

99

x 99

--------

891 (Multiplying 99 by 9)

891 (Multiplying 99 by 9 and leaving a space on the right)

--------

9801 (Adding)

The answer is 9801.

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

Answer:

x = 11

Step-by-step explanation:

4 ⋅ 11 + 4 = 48

angle A = 48°

angle B = 48°

To convert inches to yards you would divide the number of inches by inches per yard.

The numerator would be the inches given and the denominator would be 36

The ratio would be inches / inches per yard.

Numerator = inches

1)

8. ∠ABC, 5. \(\overrightarrow{BA}\), 9. Point C, 3. Plane W, 6. \(\overline{AB}\), 2. \(\overrightarrow{BC}\) and \(\overrightarrow{BA}\), 1. \(\overleftrightarrow{AB}\), 7. Plane ABC, 4. line m.

2)

a) The output of the rule is (-6,9)

b) The output of the rule is (-3,0)

c) No.

3) The image is attached below.

What is a line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

1)

Angle: An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.

Therefore first image is ∠ABC.

In mathematics, a ray is a segment of a line with a fixed starting point but no ending.

The fixed point is B. Then second image represents \(\overrightarrow{BA}\). The sixth image represents two rays that are \(\overrightarrow{BC}\) and \(\overrightarrow{BA}\),

A point is a basic concept in traditional Euclidean geometry that represents an exact place in space and has no length, breadth, or thickness. In contemporary mathematics, a point more broadly refers to a component of a set known as a space.

The image represent point C.

A plane is an infinitely long, Euclidean, two-dimensional surface in mathematics. A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

The fourth image represent Plane W. The eighth image represents Plane ABC.

The seventh image represents  \(\overleftrightarrow{AB}\) and the ninth image represents line m.

2)

The translation rule is

(x,y) → (x-3, y+4)

(a) The translation of the point (-3,5) is (-3 -3, 5 + 4) = (-6,9).

(b) The translation of the point (0,-4) is (0 -3, -4 + 4) = (-3,0)

(c) No, since a function consists of one variable. But in the translation, there is two variables.

3)

The vertices of △PQR are P(1,-1), Q(3,-2), R(3,-4).

The rule of 180° rotation about origin is (x,y) → (-x,-y)

After rotation, P'(-1,1), Q'(-3,2), R(-3,4).

The rule reflection about x-axis is (x,y) → (x,-y)

After reflection,  P''(1,1), Q''(3,2), R''(3,4).

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The tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.

What is Circle?

A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are a fixed distance away from a given point, called the center of the circle. This distance is known as the radius of the circle.

A circle can also be defined as the locus of a point that moves in a plane in such a way that its distance from a fixed point is constant. The constant distance is the radius of the circle.

The minute hand on a clock makes a full rotation in 60 minutes, which means it travels the circumference of a circle with a radius of 23 cm in 60 minutes. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.

Therefore, the circumference of the circle traced by the tip of the minute hand is:

C = 2πr = 2 × 3.14 × 23 cm ≈ 144.44 cm

To find out how far the minute hand travels in 11 minutes, we need to calculate what fraction of the circumference it covers in that time. Since 11 minutes is about 18.3% of an hour (60 minutes), the minute hand travels 18.3% of the circumference of the circle in that time:

Distance traveled = 0.183 × 144.44 cm ≈ 26.4 cm

Therefore, the tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.

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The within mean square, also known as the mean square error (MSE) or residual mean square, can be obtained from the analysis of variance (ANOVA) output in R.

In this case, the within mean square corresponds to the "Mean Sq" value for the "Residuals" row. From the given ANOVA table, the within mean square is 3009. This value represents the average sum of squares of the residuals, which indicates the amount of unexplained variability in the data after accounting for the effect of the feed supplements.

A smaller within mean square suggests a better fit of the model to the data, indicating that the type of diet has a significant influence on the growth rate of chickens. The obtained within mean square can be used to further assess the significance of the diet effect and make conclusions about the experiment.

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