Please help! Algebra!!! Thank You!!!

Answer:

for 0.5 pounds size, we have 7.5

for 0.25 pounds size, we have 15

Step-by-step explanation:

Here, we want to calculate the number of each hamburger size that could be made

for 0.5 pounds size, we have that;

3.75/0.5 = 7.5

for 0.25 pounds, we have;

3.75/0.25 = 15

The coordinates of the pre-image of F include the following: A. (-2, 4).

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.

Furthermore, a reflection across the line y = -x would interchange (switch) the x-coordinate and y-coordinate in order to form a negative inverse of the parent function and this is given by this transformation rule:

(x, y)                                    →              (y, x)

Ordered pair F = (4, -2)      →        Ordered pair F' = (-2, 4).

In conclusion, we can reasonably infer and logically deduce that the coordinates of the pre-image of F after a reflection across the line y = -x are (-2, 4).

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Answer:

See below.

Step-by-step explanation:

Divide the percentage to find the decimal form.

\(\frac{7.5}{100} =0.075\)

Multiply the total by the percentage.

\(50*0.075=3.75\)

Add that to the total.

\(50 +3.75=53.75\)

Answer: \(53.75\)

:)

To reduce 1 molecule of oxygen 4 electron are required, which means  4 Nadhs are needed for the reduction of one oxygen molecule

NADH donates one electron to become NADH⁺ + e⁻

So, the number of Nadhs are needed for the reduction of one oxygen molecule is same as the number of electrons needed for the reduction of one oxygen molecule

Water has 2 hydrogen and each hydrogen needs only one electron. Hence, four electrons along with four hydrogen atoms are required to reduce one molecule of oxygen to two molecules of water.

Therefore, To reduce 1 molecule of oxygen 4 electron are required, which means  4 Nadhs are needed for the reduction of one oxygen molecule.

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D. The project timeline not including holidays which the team members plan to take off does not represent a constraint described in Dempster's triangle.

The constraints described in Dempster's triangle are related to project scope, time, and resources, and typically include limitations on budget, technology, staffing, and other factors that may impact project success. While holidays may impact project scheduling, they are not typically considered a constraint in the same sense as other Dempster's triangle that directly impact project deliverables.

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Answer:

1. Distance is 5 units 2. Distance is 14 units 3. B. (2, -5), 10. (4, 14) 11. (6, 12) 14. x = 12 16. x = 55

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

14=-(x-8)

14=−x+8(Distribute)

flip equation:

−x+8=14

Subtract 8 from both sides

−x+8−8=14−8

−x=6

divide by -1 both sides

x=-6

Answer:

2400

Step-by-step explanation:

Interest = Principal * Rate * Time

             = 2000 * .05 * 4

             = 400

Total amount to pay:

Principal + Interest

2000 + 400 = 2400

Answer:

12/ 20

Step-by-step explanation:

adjacent (12)

over

hypotenuses (20)

Answer:

9

Step-by-step explanation:

What you do if first you draw your rectangle. You name length as x (as told in the question) and width as x-3 (since the width is 3 feet less). To obtain the area you have to do x × (x-3) because to find area you do length × width right.

So area is x(x-3) and it also tells you that area is 54 there

That's how you get x(x-3)=54

Now to solve it, you have to expand

x(x-3)=54

x²-3x-54 = 0 (you have to factorise this now)

(x+6) or (x-9) = 0

x = -6 or x = 9

As you can see you have two answers there. We have to eliminate the -6 because length can never be negative. The logic is simple, any length you take for example on a ruler (it has to be 0 or above) you can measure 1 feet, 2 feet, even 100 feet but you can't measure less than 0 right?

So the final answer is that x=9 and x represents the length

So length = 9

The researchers are investigating the perception of three-dimensional shapes on computer screens and specifically examining the components of a square figure or cube necessary for viewers to perceive details of the shape. They vary the stimuli to include fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. Four participants are recruited for an intense study, and their accuracy rates are measured across the three figure conditions. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.

In this study, the researchers are interested in understanding how viewers perceive details of three-dimensional shapes on computer screens. They manipulate the stimuli by presenting fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. By varying these components, the researchers aim to identify which elements are necessary for viewers to accurately perceive the shape.

Four participants are recruited for an intense study, indicating a small sample size. While a larger sample size would generally be preferred for generalizability, intense studies often involve fewer participants due to the time and resource constraints associated with conducting a large number of trials. This approach allows for in-depth analysis of individual participant performance.

The participants are trained on how to detect subtle deformations in the shapes, which suggests that the study aims to assess their ability to perceive and discriminate fine details. After the training, the participants' accuracy rates are measured across the three different figure conditions, likely reported as a percentage of correctly identified shape details.

To minimize potential biases, the trials are presented in different orders for each participant, using a random-numbers table to determine unique sequences. This randomization helps control for order effects, where the order of presenting stimuli can influence participants' responses.

The researchers in this study are investigating the perception of three-dimensional shapes on computer screens. By manipulating the components of square figures or cubes, they aim to determine which elements are necessary for viewers to perceive shape details accurately. The study involves four participants, an intense study design, and measures accuracy rates across different figure conditions. The use of randomization in trial presentation helps mitigate potential order effects.

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Answer:

1111/2500

Step-by-step explanation:

Answer:

25 square inches

Step-by-step explanation:

just divide your base by 2 and then multiply it by the height

Answer:

n¹⁵

Key:

Step-by-step explanation:

\(\frac{n^{10}}{n^{-5}}\\=n^{10-\left(-5\right)}\\n^{10} = n10\\^{-5} = -5\\n10 - -5 = n15\\= n^{15}\)

(a) The expression\((-4x^20)^3\) simplifies to\(-64x^60\). (b) The expression \((x+10)^2 - (x-3)^2\) simplifies to 20x + 70. (a) The rational expression (1 - \(p)/(2^(6/4) + (p^(2/4))/(2^(4/4)))\)simplifies to \((1 - p)/(4 + (p^(1/2))/2)\). (b) The expression\(x^2 - 43x + x + 25 + x/9\) simplifies to \(x^2 - 41x + (10x + 225)/9.\)

(a) To simplify \((-4x^20)^3,\) we raise the base \((-4x^20)\)to the power of 3, which results in -\(64x^60\). The exponent 3 is applied to both the -4 and the \(x^20,\) giving -\(4^3 and (x^20)^3.\)

(b) For the expression \((x+10)^2 - (x-3)^2,\) we apply the square of a binomial formula. Expanding both terms, we get x^2 + 20x + 100 - (x^2 - 6x + 9). Simplifying further, we combine like terms and obtain 20x + 70 as the final simplified expression.

(a) To simplify the rational expression\((1 - p)/(2^(6/4) + (p^(2/4))/(2^(4/4))),\)we evaluate the exponent expressions and simplify. The denominator simplifies to \(4 + p^(1/2)/2\), resulting in the final simplified expression (1 - \(p)/(4 + (p^(1/2))/2).\)

(b) For the expression \(x^2 - 43x + x + 25 + x/9\), we combine like terms and simplify. This yields \(x^2\) - 41x + (10x + 225)/9 as the final simplified expression. The domain restrictions will depend on any excluded values in the original expressions, such as division by zero or taking even roots of negative numbers.

For factoring:

(a) The polynomial \(24x^2 - 2x - 15\) can be factored as (4x - 5)(6x + 3).

(b) The polynomial \(x^4 - 49x^2\)can be factored as \((x^2 - 7x)(x^2 + 7x).\)

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Answer:

No

Step-by-step explanation:

Probability meaning: "the extent to which something is probable; the likelihood of something happening or being the case."

Probability only is a range from 1-100 %

Probability can also be written as a percentage, which is a number from 0 to 100 percent. ... The probability of a certain event occurring depends on how many possible outcomes the event has. If an event has only one possible outcome, the probability for this outcome is always 1 (or 100 percent).

(credits to scientific american)

Answer:

$31.63/hr

Step-by-step explanation:

Given parameters:

 Yearly salary  = $65788

  Number hours worked per week  = 40hrs

Unknown:

Hourly wage  = ?

Solution:

The hourly wage is found by dividing the yearly salary by the total number of hours worked per year.

  There are 52 weeks in a year;

   Number of hours worked per year  = 52 x 40  = 2080hrs

Hourly wage per year = \(\frac{65788}{2080}\)   = $31.63/hr

The general solution of the system is: x = x (free parameter), y = (7/2)x, and z = -(3/2)x. This represents the set of all solutions to the system of equations.

To find the general solution of the system represented by the augmented matrix, we can perform row operations to bring the matrix to its reduced row-echelon form (RREF). The RREF will reveal the solution of the system.

Let's work through the row operations step by step:

Row 2 = Row 2 - 2 × Row 1

Row 3 = Row 3 - 4 × Row 1

The new augmented matrix after the first row operation:

[ 2 -7 3 0 ]

[ 0 0 0 0 ]

[ 0 0 0 0 ]

Next, divide Row 1 by 2:

Row 1 = Row 1 / 2

The updated augmented matrix:

[ 1 -7/2 3/2 0 ]

[ 0 0 0 0 ]

[ 0 0 0 0 ]

Now, we can see that the second and third rows consist of all zeros. This indicates that the system has infinitely many solutions.

To express the general solution, we can assign a parameter to one of the variables (let's choose x):

x = Free parameter

Then, we can express the other variables in terms of x:

y = (7/2)x

z = - (3/2)x

Therefore, the general solution of the system is:

x = x (free parameter)

y = (7/2)x

z = -(3/2)x

This represents the set of all solutions to the system of equations. By assigning different values to the parameter x, we can obtain infinitely many solutions.

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The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.

Then the length of line segment DE will be

We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have

BC = 2BE

Then the ratio of their corresponding sides will be

 BE/BC = DE/AC

BE/2BE = DE/24

       DE = 24/2

       DE = 12

Then the correct option is B.

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Answer:

the answer is C.

Step-by-step explanation:

Carry a book bag: Female is 57

Answer:

t=84

Step-by-step explanation:

Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation

$$\frac{t-6}{6} = \frac{t+7}{7}.$$

To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:

$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$

then simplify to get

$$7\cdot (t-6) = 6\cdot (t+7).$$

The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.

Now we expand using the distributive property:

7t - 7\cdot 6 &= 6t + 6\cdot 7;\\

7t - 42 &= 6t + 42.

Adding $42$ to both sides gives

$$7t = 6t + 84,$$

then subtracting $6t$ from both sides gives $t=\boxed{84}$.

(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)

Answer: B is a function

Step-by-step explanation:

All the x cordinates in (x,y) are different.

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

Answer:

20.5882% decrease

Step-by-step explanation:

Percentage reduction= [ (Starting Value - Final Value) / |Starting Value| ] × 100

=[($85−$67.50)/|$85|]×100  = 20.5882%

Answer:

17.50

Step-by-step explanation:

490

472 <490<500

it fits the criteria