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What number is equivalent to
32 +6 (14-5×2) ÷ 4
A 23/1
B 10/
C 14
D 15

Answer:

B)

Step-by-step explanation:

distances:

AB = 6

BC = √4+25 = √29

CD = √0+144 = 12

AD = √5²+4² = √41

The x-component of the net electric field at the origin can be found by considering the individual electric fields produced by the charges and their contributions in the x-direction.

To calculate the x-component, we need to determine the electric field contributions from each charge and then sum them up.

1. Identify the charges: Determine the positions and magnitudes of all charges involved.

2. Calculate the electric field contribution: For each charge, use Coulomb's law to calculate the electric field it produces at the origin. The electric field due to a point charge Q at a distance r from it is given by E = kQ/r^2, where k is the electrostatic constant.

3. Consider the direction: The electric field produced by each charge will have a direction. Since we are interested in the x-component, consider only the x-components of the electric fields for each charge.

4. Sum up the contributions: Add up all the x-components of the electric fields produced by the charges. The resulting sum will give you the x-component of the net electric field at the origin.

It is important to note that if any charges have the same sign, their contributions to the x-component of the net electric field will have the same sign. If any charges have opposite signs, their contributions will have opposite signs.

Remember to consider both positive and negative charges, as well as their distances from the origin, to determine the magnitude and direction of the x-component of the net electric field.This process allows you to find the x-component of the net electric field at the origin. By following these steps, you can determine the electric field strength in the x-direction at the origin due to the charges present.

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The width of the walkaway be 4 feet.

The discriminant formula is used to determine the nature of the roots of a quadratic equation. The discriminant of a quadratic equation\(ax^{2} +bx+c=0\) is D =\(b^{2} -4ac\)

If D > 0, then the equation has two real distinct roots.

If D = 0, then the equation has only one real root.

Given that: \(Area\; of \;walkway,\; a(w)\;= 4w^{2} + 100 w\)

also, area of walkaway = 464 square feet.

So, \(4w^{2} + 100 w =464\)

     \(4w^{2} + 100 w -464=0\)

Using Discriminant method,

a=4, b=100, c=-464

\(w= \frac{-b\pm\sqrt{b^{2}-4ac} }{2a}\)

w= \(\frac{-100\pm\sqrt{(100)^{2}-4*4*(-464)} }{2*4}\)

w= \(\frac{-100\pm\sqrt{17424} }{8}\)

So, \(w_1= \frac{-100+\sqrt{17424} }{8} \;\;\;\; w_2= \frac{-100-\sqrt{17424} }{8}\)

\(w_1= \frac{-100+132 }{8} \;\;\;\; w_2= \frac{-100-132}{8}\)

\(w_1 = 4 \;\;\;\; and \;\;\; w_2= -29\)

Hence the width of the walkaway be 4 feet.

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At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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Based on the data above, what is the median number of grams of sugar in a chocolate cake at these bakeries is equal to: A. 108.

In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

First of all, we would sort the number of grams from the least to greatest as follows:

87, 98, 106, 107, 108, 119, 134, 134, 135

Therefore, the median number of grams of sugar is equal to the middle number:

Median = 108.

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Complete Question:

A nutritional company analyzed the amount of sugar in a chocolate cake in nine different bakeries in Toledo. The values in the list below represent the number of grams of sugar in a chocolate cake at each of these bakeries. 134, 108, 106, 119, 134, 107, 135, 87, 98.

Based on the data above, what is the median number of grams of sugar in a chocolate cake at these bakeries?

108

110

111

114

134

Answer:

6x+3

Step-by-step explanation:

just add the like terms since their is no multiplying.

Answer: 81 is the answer but it says what scores so you might be able to put 81 and above for example 82 83 84 and so on.

Step-by-step explanation:

If you add 91 93 and 95 you should get 279 then subtract 279 from 360 which will get u the answer which is 81 simple right now please giva a thanks like and rating if you found this helpful.

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin."

Afferent nerve fibers are axons (nerve fibers) of sensory neurons that carry sensory information from sensory receptors to the central nervous system. Many afferent projections arrive at a particular brain region. Afferent nerve fiber.

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin." Biocytin is a modified form of biotin that can be taken up by neurons and transported along their axons. It is often injected into a specific region of interest and allowed to diffuse throughout the neural tissue. Afferent axons originating from the injected area can then take up and transport the biocytin, allowing researchers to visualize and study their pathways using various histological techniques, such as immunohistochemistry or avidin-biotin complex staining.

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The eigenvalues of the given matrix are 4, 2, 0, and 0, with corresponding eigenvectors given by [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for eigenvalue 4, [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for eigenvalue 2, [0, cos(πn/5), cos(2πn/5), cos(3πn/5)] for eigenvalue 0 (n ≠ 0), and [0, 1, -2, 1] and [1, 0, 0, 0] for eigenvalue 0 (n = 0).

To find the eigenvalues and eigenvectors, we start by using the sine transform. Let S be the 4x4 sine matrix, i.e., the entry in the i-th row and j-th column of S is given by sin(πij/5). Then, we can write the given matrix as M = 3I + S + S^T, where I is the 4x4 identity matrix.

Next, we find the eigenvalues of S. Since S is a real symmetric matrix, its eigenvalues are real and its eigenvectors are orthogonal. By inspection, we see that the columns of S are orthogonal and have length 2, so the eigenvalues of S are given by λn = 2(1 - cos(πn/5)) for n = 1, 2, 3.

Now, we can find the eigenvalues of M. Since M = 3I + S + S^T, the eigenvalues of M are given by μn = 3 + λn + λm, where λn and λm are the eigenvalues of S. Thus, we have μ1 = 4, μ2 = 2, and μ3 = μ4 = 0.

To find the eigenvectors of M, we need to solve the equations (M - μnI)x = 0 for each eigenvalue μn. For μ1 = 4, we have (M - 4I)x = (S - 2I)(S^T - 2I)x = 0, which has non-trivial solutions of the form [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for n = 1, 2, 3, 4.

Similarly, for μ2 = 2, we have solutions of the form [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for n = 1, 2, 3, 4. For μ3 = 0, we have solutions of the form [0, cos(πn/5), cos(2πn/5), cos(3πn/5)] for n ≠ 0. Finally, for μ4 = 0, we have two linearly independent solutions: [0, 1, -2, 1] and [1, 0, 0, 0].

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The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

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To calculate Barry's bank balance after paying off both debts (credit card and yearbook), we need to subtract the total amount of the debts from his initial bank balance.Therefore, Barry's bank balance would be: $50.00 (initial balance) - $32.00 (credit card debt) - $20.00 (yearbook debt) = $-2.00This means Barry would have a negative balance of $2.00 in his bank account after paying off both debts.

Answer:

I think the answer is D.

Step-by-step explanation:

I hope this helps!!!! :)

Step-by-step explanation:

The amplitude is the value that the cosine is being multiplied by.

The general equation of a sinusoid is

\( a \cos(b(x + c) ) + d\)

where a is the amplitude

\( \frac{2\pi}{ |b| } \)

is the period

-c is the phase shift

d is the midline(vertical shift)

Here the amplitude is -1/2 so b is the correct answer.

Answer:

the amplitude of the function that is y= -1/2 cos x, is 1/2.

Step-by-step explanation:

For n is positive integer and d is a digit such that gives the numerical value and satisfied all given conditions. We get the base value i.e n is 9

and d = 2 . So, required value n+d = 11 .

We can start by setting up an equation to convert 32d base n to base 10. To convert this to base 10, it would be 3n²+2n+d. Because it is equal to 263, we can set this equation to 263. Finally, subtract d from both sides to get

3n²+2n = 263-d.

We can also set up equations to convert 324 base n and 11d1 base 6 to base 10. The equation to covert 324 base n to base 10 is 3n²+2n+4. The equation to convert 11d1base 6 to base 10 is 6³+ 6²+6d+1.

Simplify , 6³+6²+6d+1 so it becomes 6d+253. Setting the above equations equal to each other, we have3n²+2n+4 = 6d+253. Subtracting 4 from both sides gets 3n²+2n = 6d+249.

We can then use equations

3n²+2n = 263-d

3n²+2n = 6d+249 to solve for d.

Set 263-d equal to 6d+249 and solve to find that d=2.

Plug d=2 back into the equation 3n²+2n = 263-d. Subtract 261 from both sides to get your final equation of 3n²+2n-261 = 0.

We solve using the quadratic formula to find that the solutions are 9 and -10. Because the base must be positive, n=9.

Adding 2 to 9 we get, n+ d = 9+2 = 11

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Answer:

Width of the box = 2 inches

Step-by-step explanation:

Volume of a box = length × width × height

Volume of the box = 240 cubic inches

Length of the box = (x + 8) inches

Width of the box = x inches

Height of the box = 12 inches

Volume of a box = length × width × height

240 = (x + 8) * x * 12

240 = (x² + 8x) * 12

240 = 12x² + 96x

12x² + 96x - 240 = 0

x² + 8x - 20 = 0

Solve quadratic equation using factorization method

x² + 10x - 2x - 20 = 0

x(x + 10) -2(x + 10) = 0

(x + 10) (x - 2) = 0

x + 10 = 0 OR x - 2 = 0

x = -10 OR x = 2

Width of the box can not be a negative value

Therefore,

Width of the box = 2 inches

Answer:324

Step-by-step explanation: because

In triangle ABC with ∠C as a right angle and given b = 8 and c = 17, the remaining sides and angles would be approximately:
a ≈ 15
A ≈ 28.1°
B ≈ 61.9°

In triangle ABC, ∠C is a right angle. We are given two measures: b = 8 and c = 17. To find the remaining sides and angles, we can use the Pythagorean theorem and trigonometric ratios.

1. Use the Pythagorean theorem to find side a:
  The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
  Therefore, we have:
  a^2 + b^2 = c^2
  a^2 + 8^2 = 17^2
  a^2 + 64 = 289
  a^2 = 289 - 64
  a^2 = 225
  a = √225
  a = 15

2. Use trigonometric ratios to find the remaining angles:
  We can use the sine, cosine, or tangent ratios to find the angles.
  Let's use the sine ratio for angle A:
  sin(A) = opposite/hypotenuse
  sin(A) = b/c
  sin(A) = 8/17
  A ≈ sin^(-1)(8/17)
  A ≈ 28.1°

  To find angle B, we can use the fact that the sum of the angles in a triangle is 180°:
  B = 180° - A - 90°
  B = 180° - 28.1° - 90°
  B ≈ 61.9°

So, in triangle ABC with ∠C as a right angle and given b = 8 and c = 17, the remaining sides and angles are approximately:
a ≈ 15
A ≈ 28.1°
B ≈ 61.9°

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Based on the information, it can be inferred that the number of possibilities to write arch is 37

To find the number of possibilities there are to write the word arch we must analyze the graph. Once we identify the position of each letter we must carry out the following procedure.

Find how many possible combinations each letter has to form the word. In this case, to begin with, we only have 3 options to connect A with R. However, each R has at least 3 options to connect with the letter C, the R in the center has 5 possibilities to connect with the letter C.

On the other hand, each letter C has at least 4 possibilities of connecting with the letter H, and the middle C has 7 possibilities of connecting with the letter H.

To find the total number of possibilities we must add these values:

According to the above, we have 37 combination options.

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Answer:

If Thabang worked for three hours and Ndivhu worked for two hours, then the total number of hours worked is five. To determine the amount Thabang will receive if they decided to share their money according to hours, we need to calculate the proportion of the total hours that Thabang worked and multiply that by the total amount of money earned.

Thabang worked for three out of five hours, which is 3/5 or 0.6 of the total time. To find out how much money he should receive, we can multiply this fraction by the total amount earned:

0.6 x R400 = R240

Therefore, Thabang should receive R240 if they decide to split the money based on hours worked.

3/8 is classified as a rational number.

All fractions, positive or negative, are rational numbers.

Natural numbers, whole numbers, and integers don't include fractions.

Answer:

Rational

Step-by-step explanation:

A natural number is a whole number, so that eliminates natural and whole. An integer is a whole number that includes negative numbers. Since 3/8 is not a whole number, we can eliminate that too. Rational numbers are fractions that don't go on forever. 3/8 is a rational number.

Answer:

its c because the x is not repeating so let's say x are people and y is the are the location. multiple x values can give the the same y but an x value can only give one y if x give more than one y value, or in other words repeats itself, then is not a function

Answer:

y=32x-32    

Step-by-step explanation:

This time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1  on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense

False. The complement of an event A, denoted by A', is the event consisting of all outcomes in the sample space S that are not in A.

In probability theory, a sample space S represents the set of all possible outcomes of an experiment or random phenomenon. An event A is a subset of the sample space S, representing a specific outcome or a combination of outcomes of interest.

The complement of event A, denoted by A', includes all the outcomes in the sample space S that are not part of event A. In other words, A' consists of all outcomes that do not satisfy the conditions for event A to occur.

For example, let's consider rolling a fair six-sided die. The sample space S consists of the numbers {1, 2, 3, 4, 5, 6}. Now, let event A be the event of rolling an odd number. In this case, A = {1, 3, 5}, and the complement of A, denoted by A', would be A' = {2, 4, 6}. A' includes all the outcomes that are not odd numbers.

It's important to note that the complement of an event A and the event itself together cover the entire sample space S. In other words, A and A' are mutually exclusive and exhaustive, meaning that any outcome must either be in A or in A'.

So, in summary, the complement of an event A is the set of all outcomes in the sample space S that do not belong to A.

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Answer:

8 people went

Step-by-step explanation:

A school is going to the movies. The tickets cost 4 dollars per person with a 5-dollar entry fee. If the trip costs 37 dollars, how many people went?

Answer:

y = 1/2x+2

Step-by-step explanation:

first find x intercepts : to find x intercept put 0 in y

1/2x+2 = 0

1/2x= -2

x = -4 the graph shows x intercept at 4

next find y intercept : to find y intercept put 0 into x

=1/2*0+2

=2

the graph shows y crosses at 2.

Answer:

y = 1/2x+2

Answer:

$12,000

Step-by-step explanation:

20% as a decimal is 0.20

30,000 x 0.20 = 6,000

If the employer matches that, the amount deposited is double.

6,000 x 2 = 12,000

That is probably the answer they want. Technically the question asks way *you* will have contributed, which is $6,000, but I don’t think they’re trying to make this a trick question. I would go with 12k

Given a Math exam with 7 short answer questions and Peter intending to answer three of them, there are a total of 35 different combinations of short answer questions he can choose.

To determine the number of combinations, we can use the concept of combinations in combinatorics. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where:

C(n, r) represents the number of combinations of choosing r items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers up to n.

In this case, Peter wants to answer three out of the seven questions, so we can calculate it as:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!)

Simplifying further:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1

3! = 3 * 2 * 1

4! = 4 * 3 * 2 * 1

C(7, 3) = (7 * 6 * 5 * 4 * 3 * 2 * 1) / [(3 * 2 * 1) * (4 * 3 * 2 * 1)]

After canceling out common terms, we get:

C(7, 3) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Therefore, there are 35 different combinations of short answer questions Peter can choose to answer.

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The height of the cylinder is 3 and its base is a circular disk with radius 1.

The solid of revolution obtained by revolving the region bounded by the curves y = x - 1, y = 0, and x = 3 about the x-axis is a cylinder.

The curves y = x - 1 and y = 0 bound a triangular region in the xy-plane with vertices (0, -1), (3, 0), and (1, 0). When this region is revolved about the x-axis, it generates a cylinder with height 3 and base a circular disk with radius 1.

A cylinder has traditionally been a three-dimensional solid, one of the most normal of curvilinear geometric shapes.

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Answer:

The side lengths are 8 inches and 10 inches.

Step-by-step explanation:

Let l be the length and w be the width. w = l - 2.

We then have:

\(l(l - 2) = 80\)

\( {l}^{2} - 2l = 80\)

\( {l}^{2} - 2l - 80 = 0\)

\((l - 10)(l + 8) = 0\)

\(l = 10\)

\(w = l - 2 = 10 - 2 = 8\)

Answer:

2(x+3)(x-1)

Step-by-step explanation:

Because 2x^2+4x-6 can be divided by 2, you can divide them by two. This would make the equation 2(x^2+2x-3). To factor this, you have to find two equation that would make it true. The equation have to be _+_=2 and _x_=-3. The two blanks would be 3 and -1. 3+-1=2 and 3x-1=-3. This means that the equation is 2(x-1)(x+3).

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