the graph of y=x^2 is shifted 4 units to the right,
and shifted 7 units downward

Answer:

-2X+24

Step-by-step explanation:

Answer:

[tex]y=-2x+24[/tex]

Step-by-step explanation:

Let

x------> the number of days

y----->the number of cookies which are left at the end of each day

we know that

[tex]y=-2x+24[/tex]

verify

For [tex]x=0\ days[/tex]

[tex]y=-2(0)+24=24\ cookies[/tex] -----> original amount of cookies

For [tex]x=1\ days[/tex]

[tex]y=-2(1)+24=22\ cookies[/tex]

For [tex]x=12\ days[/tex]

[tex]y=-2(12)+24=0\ cookies[/tex]

Answer:y=-6Vx-7

Step-by-step explanation:

Answer:

18x2 − 12xy + 9y + 11

Step-by-step explanation:

To find the maximum of the function f(x, y) = y² + xy – x² on the square 0 ≤ x ≤ 6, 0 ≤ y ≤ 6, we need to find the critical points by taking the partial derivatives with respect to x and y.

To find the maximum of the function f(x, y), we need to find the critical points by taking the partial derivatives with respect to x and y:

[tex]f_x[/tex] = y - 2x

[tex]f_y[/tex] = 2y + x

Setting these derivatives equal to zero and solving for x and y, we get the critical point (2,2). To determine if this point is a maximum, minimum, or point of inflection, we can use the second derivative test. Taking the second partial derivatives:

[tex]f_{xx[/tex] = -2, [tex]f_{yy[/tex] = 2, [tex]f_{xy[/tex] = 1

Using the discriminant D = [tex]f_{xx} \times f_{yy} - {(f_{xy})}^2[/tex], we have D = [tex](-2) \times 2 - {1}^2[/tex] = -4. Since D is negative, the critical point (2,2) is a saddle point, which means there is no maximum or minimum on the given square.

Final answer:

Anne Treisman is associated with the Attenuation Model, which posits that unattended information is not lost but simply weakened. This model contrasts with filter theories, emphasizing that meaningful information can penetrate the attention barrier for further processing.

Explanation:

The theorist associated with the idea that information not actively attended to is not lost but rather decreases in signal strength and is therefore not given any significance or future attention is Anne Treisman. Treisman proposed the Attenuation Model, which challenges the filter theory, suggesting that selection of information begins at the physical or perceptual level. However, unlike the filter theory that assumes unattended information is completely blocked, Treisman believes that unattended information is just weakened or attenuated. This means that any highly meaningful or pertinent information, such as one's own name, can still get through the filter for further processing at the level of meaning.

Supporting this model, late selection models like that of Deutsch and Deutsch also propose that all information is processed on the basis of meaning, but only task-relevant information reaches conscious awareness. This concept is in line with the idea of subliminal perception where unconscious information can be fully processed for meaning.

Therefore, the attenuation model and late selection models suggest that our attention selects information but does not completely eliminate the processing of unattended stimuli, particularly if the unattended information holds some form of intrinsic importance or meaning to the individual.

Answer:

Three hundred six thousandths.

Step-by-step explanation:

We are asked to write 0.306 in word form.

We can see that our given number has 3 tenths, 0 hundredths and 6 thousandths.

To convert our given number in word form, we will write the number of thousandths in 0.306.

The number of thousandths for our given number are three hundred six thousandths, therefore, our number is three hundred six thousandths.

Answer:

The monthly payment  is $ 154.29

Step-by-step explanation:

Given : time period = 60 months

Annual interest rate = 5.99%

Amount to be borrowed = $8000

We have to calculate the monthly payment.

We know ,

[tex]P=\dfrac{A\cdot \frac{i}{12}}{1-(1+\frac{i}{12})^{-n}}[/tex]

We have,

interest rate = 5.99% = 0.0599

Amount = $8000

time period = 60 months

P is monthly payment.

[tex]P=\dfrac{8000\left(\frac{0.059}{12}\right)}{1-\left(1+\frac{0.059}{12}\right)^{\left(-60\right)}}[/tex]

Simplify, we get,

P = 154.29

Thus, the monthly payment  is $ 154.29

The simplified expression of 4 +9 "/" 3 "/" 2 x 3 + (3 + 1) x 4 is 17, following the order of operations or PEMDAS.

To simplify the given expression, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

The original expression is 4 +9 / 3 / 2 x 3 + (3 + 1) x 4. First, address operations inside parentheses: (3+1) equals 4. The expression becomes 4 +9 / 3 / 2 x 3 + 4 x 4.

Next, handle the multiplication and division from left to right: 9 / 3 equals 3, and 2 x 3 equals 6. Then, 4 x 4 equals 16. This turns our expression into 4 + 3 - 6 + 16.

Finally, perform addition and subtraction from left to right: 4 + 3 equals 7, 7 - 6 equals 1, and 1 + 16 equals 17. Therefore, the simplified expression is 17.

Two thirds of a straight angle is calculated as 120 degrees.

Two thirds of a straight angle can be calculated by first understanding that a straight angle is equal to 180 degrees. When we want to find a fraction of a given angle, we multiply the fraction by the total degree measure of that angle.

In this case, to find two thirds of a straight angle, we multiply 180 degrees by 2/3.
Here is a step-by-step explanation of the calculation:

Understand that a straight angle equals 180 degrees.

Multiply 180 degrees by the fraction 2/3:

(180 degrees) * (2/3) = 120 degrees.

To determine which fraction is greater, we convert both fractions to decimal form. Six over ten is greater than one over two.

To determine which fraction is greater, six over ten or one over two, we can convert both fractions to decimal form and compare them. Six over ten can be simplified to three over five, which is equal to 0.6. One over two is equal to 0.5. Since 0.6 is greater than 0.5, we can conclude that six over ten is greater than one over two.

To find the number of full cabins, divide the total number of campers by the number of campers in each cabin. Round the answer up to the nearest whole number.

To find the number of full cabins, you can divide the total number of campers by the number of campers in each cabin.

148 campers / 28 campers per cabin = 5.2857 cabins

Since we can't have fractional cabins, we round up to the nearest whole number, which is 6.

Therefore, there are  that are full.

Final answer:

There are 6 cabins that are full.

Explanation:

To find the number of cabins that are full, we need to divide the total number of campers by the number of campers each cabin can hold. In this case, there are 148 campers and each cabin can hold 28 campers.

We can solve this problem by dividing 148 by 28: 148 ÷ 28 = 5.2857.

Since we cannot have a fraction of a cabin, we round up to the nearest whole number. Therefore, there are 6 cabins that are full.