C. Solve the problem below. Use the back page for your work

The expression p(16 - 4p) gives the profit of selling certain food items with price, p. What

is the item price if the profit was $0?

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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The correct answer is 64.87 inches to 75.13 inches.

To find the middle 80 percent of heights, we need to find the values of x that correspond to the 10th and 90th percentiles of the normal distribution with mean 70 inches and standard deviation 4 inches.

Using a standard normal table or calculator, we can find that the z-score corresponding to the 10th percentile is -1.28 and the z-score corresponding to the 90th percentile is 1.28.

So,

x = μ + zσ

x1 = 70 + (-1.28)(4) = 64.88

x2 = 70 + (1.28)(4) = 75.12

Therefore, the middle 80 percent of heights is between 64.88 inches and 75.12 inches, or approximately 64.87 inches to 75.13 inches.

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Answer

9a-5

Step-by-step explanation:

5a - 8+ 4a +3 or 5a -5 +4a

If you combine it 5a - 5 + 4a

(sorry if wrong)

The Vieth-Müller Circle is an imaginary circle that passes between both retinae and the fixation point.

The Vieth-Müller Circle is an ophthalmology concept that depicts an imaginary circle that passes across the foveas (the primary points of the retinae that are responsible for acute, detailed vision) and the fixation point (the point at which the eyes are directed).

The Vieth-Müller Circle is significant because it helps to explain the phenomenon of binocular vision, which is the ability to perceive depth and three-dimensional space using both eyes together. The circle aids in the definition of the equivalent locations on the two retinae, which are sites that receive visual field information and are critical in combining the images from the two eyes into a single, three-dimensional perception.

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The imaginary circle that passes through both retinae and the fixation point is called the horopter. The horopter is important in visual perception as it represents the set of points in space that stimulate corresponding points on each retina, which is necessary for binocular vision and depth perception.

The Horopter is an imaginary circle that passes through both retinae and the fixation point. In this context:

1. "Imaginary" refers to the fact that the Horopter is a theoretical concept rather than a physical object.
2. "Retinae" are the light-sensitive layers at the back of both eyes, which play a crucial role in processing visual information.
3. "Fixation" is the point where both eyes are focused on a single object in the visual field.

In brief, the Horopter represents a collection of points in the 3D space that are perceived as having the same depth or distance as the fixation point. It helps in understanding binocular vision and depth perception, as points on the Horopter contribute to forming a single, fused image from both eyes.

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Answer:

The first number between 100 & 300 divisible by 13 is 104

Step-by-step explanation:

Answer:

2 Evaluate Take this to prepare for the final quiz in the Evaluate module of this ... Choose all of the numbers below which are common denominators of the 5 7 ... by using the distributive property and combining like terms: x (3 + y ) (5x x ) + 6x y . 5. ... Use the FOIL method to find: (x + 3xy)(3x 3 y ). Use a pattern to find: (x 3y) 3 .

The force on the square loop is F = i(a²)(B), where B is the strength of the magnetic field in the x direction.

A current-carrying loop refers to a closed circuit consisting of a conductor (usually a wire) bent into the shape of a closed loop, through which an electric current flows. The loop may be any shape or size, but its geometry and the amount of current flowing through it determine the magnetic field it produces.

When a current-carrying loop is placed in a magnetic field, a force is exerted on the loop due to the interaction between the magnetic field and the current. The force on the loop can be calculated using the following formula:

=> F = iABsinθ

where F is the force on the loop, i is the current flowing through the loop, A is the area of the loop, B is the magnetic field, and θ is the angle between the normal to the loop and the direction of the magnetic field.

In this case, the loop is in the yz plane and centered at the origin. The magnetic field is assumed to be in the x direction. Since the loop is perpendicular to the x direction, the angle between the normal to the loop and the magnetic field is 90 degrees.

The area of the loop is given by A = a².

The current flowing through the loop is i.

Thus, the force on the loop is given by:

F = iABsinθ = i(a^2)(B)(sin90) = i(a^2)(B)

Therefore, the force on the square loop is F = i(a^2)(B), where B is the strength of the magnetic field in the x direction.

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Given sets of vectors in R3 are:(a) {(-2,5, -3), (6, -15,9), (-10,25, -15)}(b) {(1,2,0), (1,1,1),(4,5,3)}(c) {(0,0,3),(0.1,2), (1,1.0)}

Determine whether the set of all linear combinations of the given sets of vectors in R3 is a line, a plane or all of R3:

1) Set of vectors (a):Set of vectors (a) is not linearly independent. So, the set of all linear combinations of these vectors will not form the R3.

We can say that this set of all linear combinations of the given set of vectors (a) is a plane

.2) Set of vectors (b):The given set of vectors (b) is linearly independent. Hence, we can say that the set of all linear combinations of the given set of vectors (b) forms R3.

Thus, we can say that this set of all linear combinations of the given set of vectors (b) is all of R3.

3) Set of vectors (c):Set of vectors (c) is not linearly independent. So, the set of all linear combinations of these vectors will not form the R3. We can say that this set of all linear combinations of the given set of vectors (c) is a line.

Justification: In order to find whether the set of all linear combinations of the given set of vectors (a) is a line, a plane or all of R3, we need to check whether the given set of vectors (a) is linearly independent or not. If it is linearly independent, then it will form the R3. If it is linearly dependent, then it will form a line or a plane.

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Answer:

D. 360 in.²

Step-by-step explanation:

Since all the answers are labeled as in.², we know that we have to find the area of the rectangular prism. The formula for area of a rectangular prism is: lwh (length x width x height).

l = 12

w = 6

h = 5

12 x 6 x 5 = 360

First, let's determine what (1/3) to the power of 4 is:

1/3 x 1/3 x 1/3 x 1/3 = 1/81

(1 x 1 x 1 x 1 = 1; 3 x 3 x 3 x 3 = 81)

1/81

Now what is 3 as a decimal?

We have to use the same denominator as 1/81 to be able to do a subtraction:

81 x 3 = 243

3 = 243/81

243/81 - 1/81 = 242/81

The answer is D.

Hope this helps! :) If you have any questions, let me know.

the probability that the animal selected is not a chicken is 4/5 or 0.8, which is the answer.

There are a total of 6 + 4 + 10 = 20 animals on Giovanna's farm.

The probability of selecting a chicken randomly is 4/20 = 1/5, since there are 4 chickens out of 20 animals.

Therefore, the probability of not selecting a chicken is the complement of this probability, which is:

1 - 1/5 = 4/5

what is probability?

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

For example, if you flip a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2, because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

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Answer:

in what sentence all i see is the letters no image above

Answer:

N=15

Step-by-step explanation:

Simplify 1/4 (2n-8)

2n-8/4+1/4n=1/2(n+6)

Factor out the common term 2.

2(n-4)/4+1/3n=1/2(n+6)

Simplify  2(n-4)/4 to n-4/2

n-4/2+n/3=1/2(n+6)

Simplify  1/3n to n/3

n-4/2+n/3=1/2(n+6)

Simplify 1/2(n+6) to n+6/2

n-4/2+n/3=n+6/2

Multiply both sides by 6 (the LCM of 2, 3,).

3(n−4)+2n=3(n+6)

7 Expand.

3n−12+2n=3n+18

Simplify  3n-12+2n to  5n-12

5n−12=3n+18

Add 12 to both sides.

5n=3n+18+12

Simplify  3n+18+12  to  3n+30

5n=3n+30

Subtract 3n from both sides.

5n-3n=30

Simplify  5n-3n to 2n.

2n=30

Divide both sides by 22

n= 30/2

Simplify 30/2 to 15.

n=15

n=15

Brainliest

Answer:

n = 15

Explanation :

1/4(2n-8) + 1/3n = 1/2(n+6)                 Distribute

1/2n -2  + 1/3n = 1/2(n+6)                    Combine like terms

5/6n -2 = 1/2(n+6)                               Distribute

5/6n -2 = 1/2n +3                                 Pass 1/2n  to the other side

5/6n - 1/2n -2 = 3                                Combine like terms

1/3n  -2 = 3                                            Pass -2 to the other side

1/3n = 3+2                                           Combine like terms

1/3n = 5                                                 Divide both sides by 1/3

n = 15                                                     and then you will get your answer .

20₁₀ = 16₁₀ + 4₁₀

and in base 10, 2⁴ = 16 and 2² = 4. So

20₁₀ = 10100₂

In other words,

10100₂ = 1 • 2⁴ + 0 • 2³ + 1 • 2² + 0 • 2¹ + 0 • 2⁰

Answer:

150 miles

Step-by-step explanation:

8/2 = 4

4x37.5 = 150

Step-by-step explanation:

5 people.

how many ways can they line up in general ?

5 choices for the 1st position, then no matter what we picked, 4 remaining for the second, then 3 for the 3rd, 2 for the 4th and 1 for the 5th :

5×4×3×2×1 = 5! = 120 ways.

but we have restrictions. we don't want the girls not just anywhere in the line, we want them to be at the end points of the line.

and none of the boys should ever be at one of the ends.

so, we actually have only

2×1 for the endpoints and 3×2×1 for the 3 boy positions in the middle.

in total

2×1×3×2×1 = 12

under these constrictions they have actually only 12 different ways to line up.

Answer:

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Step-by-step explanation:

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You did it! please don't delete

2400 - 40x = 600

As she has not studied 600 flashcards still, we subtract unit rate from total.

40x - 600 = 2400

Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.

(600 + 40)x = 2400

Here 'x' represent mass. As masses are same for both. They can be joined.

The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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Suppose driving speed (X) on I-215 measured by the police follows a Normal distribution with mean 70 and standard deviation 4, then P( X < 70 ) is 0.6915.

To find the probability P(X < 70), we need to standardize the random variable using the standard normal distribution formula.

z = (X - μ) / σ

Where,

μ = mean = 70,

σ = standard deviation = 4,

X = 70

Substitute the given values in the formula to get the value of z.

z = (70 - 70) / 4 = 0 / 4 = 0

Now, we need to find the probability of the standard normal random variable Z being less than 0, which is equal to 0.5 + 0.1915 = 0.6915

P(X < 70) = P(Z < 0) = 0.5 + 0.1915 = 0.6915

Therefore, the probability that driving speed (X) on I-215 measured by the police is less than 70 is 0.6915.

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Answer:

300

Step-by-step explanation:

1 year -> 12 mths

12÷6=2

2x150=300

The car travels a Distance of 120 ft in the time it takes to come to a rest.

A) Determine and graph the position function for t > 0

Given that: Deceleration of car, a(t) = -15 ft/s²Velocity of car, v(0) = 60 ft/sInitial position of car, s(0) = 0

We know that:v(t) = v(0) + a(t) * tHere, v(0) = 60 ft/sa(t) = -15 ft/s²v(t) = 60 - 15tThen, s(t) = s(0) + v(0)t + (1/2)a(t)t²Putting in the values, we get:s(t) = 60t - 7.5t²

Thus, the position function for t > 0 is s(t) = 60t - 7.5t²

.Graph: We can use the above formula for position function to create a graph using a graphing calculator. The graph will look like this:

B) How far does the car travel in the time it takes to come to a rest?When the car comes to rest, its final velocity (v) will be 0. We can find the time taken to come to rest as follows:0 = 60 - 15t15t = 60t = 60/15 = 4 seconds

The car travels for 4 seconds before coming to rest.

We can find the distance travelled during this time as follows:Distance travelled, s = s(4) = 60(4) - 7.5(4²) = 240 - 120 = 120 ft

Therefore, the car travels a distance of 120 ft in the time it takes to come to a rest.

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Answer:

8

Step-by-step explanation:

8x - 4 = 60

8x = 60 + 4

x = 64/8

x = 8

Answer:

uhh ill try to answer if i could see the figure

Step-by-step explanation:

Step-by-step explanation:

Since 81 = 9² and 72 = 9 * 8,

81 + 72 = 9(9 + 8) = 9 * 17.

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression 81+72 as a product using GCF as one of the factors can be written as,

81+72

= 9(9+8)

Hence, the expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).

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Answer:

...

Step-by-step explanation:

You need to give us the value of x and y. This question is indeterminable.

The check valves in the circulatory system represent the function of heart valves. Heart valves are the circulatory system structures that act as check valves.

Their main function is to ensure the unidirectional flow of blood through the heart and prevent backward flow or regurgitation. They open and close in response to pressure changes during the cardiac cycle to facilitate the proper flow of blood through the heart chambers and blood vessels. By opening and closing at the right time, heart valves help maintain the efficiency and effectiveness of blood circulation by preventing the backflow of blood and ensuring that blood moves forward through the heart and into the appropriate vessels.

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