When the following quadratic equation is written in general form, what is the value of "c"?

-3/4 x^2 + 2 = 0

-8
-2
-6
Unlimited

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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The two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2

Given the equation; 6x² - 35 = -11x

The quadratic formula is expressed as;

x = [ -b±√( b² - 4(ac)  ]/2a

First, we re-arrange our equation in the form of ax² + bx + c = 0

6x² + 11x - 35 = 0

We substitute into the formula.

x = [ -b±√( b² - 4(ac)  ]/2a

x = [ -11±√( 11² - 4( 6 × -35 )  ]/2×6

x = [ -11±√( 121 + 840 ]/12

x = [ -11±√961 ]/12

x = [ -11 ± 31 ]/12

x = (-11 + 31)/12,  (-11 + 31 )/12

x = 20/12,  -42/12

x = 5/3, -7/2

Therefore, the two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2

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Answer:

\( \frac{x + 19}{ - 2} = 5 \\ x + 19 = 5 \times ( - 2) \\ x + 19 = - 10 \\ x = - 19 - 10 \\ \boxed{x = - 29 }\)

Answer:

a = 6, b = 12, c = 18, d = 12

Step-by-step explanation:

Answer:

a reflection over the line y= -x

Answer:

<NMK and <OPR

Step-by-step explanation:

Graph 1 has n<14 inequalities, and graph 2 has n>14 inequalities.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

The two rules of inequality :

Rule 1: Adding or subtracting the same amount from both sides of an inequality does not change the inequality symbol. Rule 2: Multiplying or dividing both sides by a positive number does not change the inequality symbol.

Here graph 1 depicts

The line is extending to the left of the number 14, excluding 14.

So, the inequality will be;

n < 14.

The graph 2 depicts

The line, which includes the number 14, is moving to the right.

So, the inequality will be ;

n≥14

As a result, the inequalities are n14 and n14 of graphs 1 and 2, respectively.

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Answer:

y = -41

Step-by-step explanation:

y= -7x -6

y= -7(5) -6

y= -35 -6

y= -41

Answer:

The one in the middle goes first the one first goes to the middle the last one stays there

Answer:

I guess your answer would be sqaures!

Step-by-step explanation: The other categories can vary on the types of shapes and all but a square is always the same shape! :)

Answer:

72.33

Step-by-step explanation:

45 percent of 125 is 56.25 so you subtract that from 125 and get 68.75 and then you do 5.2 percent of 68.75 and get 3.575 which rounds to 3.58 and you add that to 68.75 and get 72.33

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

Expansion of the function f(A,B,C,D):

f(A,B,C,D) = (A+B+D')(A'C)(C+D)

= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)

= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D

= BA'C + BC + BD'A'C + BD'C + BD'D

Minterms SOP for the function with K-map 5.16:

The truth table for the given function is:

A B C F

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 1

The K-map for this function is:

BC

A 00 01 11 10

0 |  0  1  0  1

1 |  1  0  0  1

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C) = A'B' + A'C + BC

Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:

The truth table for the given function is:

A B C D F

0 0 0 0 0

0 0 0 1 1

0 0 1 0 0

0 0 1 1 0

0 1 0 0 1

0 1 0 1 0

0 1 1 0 1

0 1 1 1 1

1 0 0 0 0

1 0 0 1 0

1 0 1 0 0

1 0 1 1 0

1 1 0 0 1

1 1 0 1 1

1 1 1 0 1

1 1 1 1 1

The K-map for this function is:

   CD

AB 00 01 11 10

00 |   0  1  0  0

01 |   1  0  0  1

11 |   1  1  1  1

10 |   0  0  1  0

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

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Answer:

22 tickets

Step-by-step explanation:

4/6 is 2/3
2/3 of 32 is 21 .3
Can't sell 0.3 of a ticket, so round up.
22 tickets

Answer:

Marked price= RS 1600

Discount= RS 80

Step-by-step explanation:

Let

x= the marked price

Discount= 5%

Discount = 5% of x

=0.05x

Cost after discount = x-0.05x

= 0.95x

Vat=10%

=0.1

Cost of the radio including vat=0.95x + 0.1(0.95x)

=0.95x + 0.095x

=1.045x

Price became rs 1672

Therefore,

1.045x=1672

Divide both sides by 1.045

x= RS 1600

Discount=5% of 1600

=0.05 * 1600

=rs 80

Answer:

880

Step-by-step explanation:

The option: (12.038, 12.062)

Hi, I'd be happy to help you calculate the 97% confidence interval for the given data. To find the 97% confidence interval for a sample of 204 soda cans with a mean amount of 12.05 ounces and a standard deviation of 0.08 ounces, follow these steps:

1. Identify the sample size (n), mean (µ), and standard deviation (σ): n = 204, µ = 12.05, σ = 0.08
2. Determine the confidence level, which is 97%. To find the corresponding z-score, you can use a z-table or calculator. The z-score for 97% confidence is approximately 2.17.
3. Calculate the standard error (SE) using the formula: SE = σ / √n. In this case, SE = 0.08 / √204 ≈ 0.0056.
4. Multiply the z-score by the standard error to find the margin of error (ME): ME = 2.17 × 0.0056 ≈ 0.0122.
5. Find the lower and upper bounds of the confidence interval by subtracting and adding the margin of error to the mean, respectively: Lower bound = 12.05 - 0.0122 ≈ 12.0378, Upper bound = 12.05 + 0.0122 ≈ 12.0622.

So, the 97% confidence interval for this sample is approximately (12.0378, 12.0622), which is closest to the option (12.038, 12.062).

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2.2 True or false: If a matrix has a very small determinant, then the matrix is nearly singular.

True. If a matrix has a very small determinant, it indicates that the matrix is close to being singular. A determinant of zero represents a singular matrix, and as the determinant approaches zero, the matrix becomes increasingly close to being singular.

2.3 True or false: If a triangular matrix has a zero entry on its main diagonal, then the matrix is necessarily singular.

False. A triangular matrix with a zero entry on its main diagonal is not necessarily singular. The determinant of a triangular matrix is simply the product of its diagonal entries. If only one entry on the main diagonal is zero, the determinant will be zero, indicating singularity.

2.4 True or false: If a matrix has a zero entry on its main diagonal, then the matrix is necessarily singular.

False. A matrix with a zero entry on its main diagonal is not necessarily singular. The determinant of a matrix is not solely determined by the presence of a zero on the main diagonal

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Answer:

1/3 x 2 = 2/3

1/4 x 2 = 2/4 or 1/2

1 x 2 = 2

2/3 + 1/2 + 2 = 3 1/6 cups

Step-by-step explanation:

In a metes-and-bounds description, directions are typically given as a bearing, which is the angle measured clockwise from north.

So, if a direction is given as "north 10 degrees east," it means that the direction is 10 degrees to the east of due north.

To determine the opposite direction, we need to find the bearing that is 180 degrees opposite to "north 10 degrees east." To do this, we subtract 10 from 180, giving us a bearing of "south 170 degrees east."

In other words, the opposite direction of "north 10 degrees east" is "south 170 degrees east."

Metes-and-bounds descriptions are commonly used in real estate to describe the boundaries of a property. These descriptions rely on a series of directions and distances to outline the boundaries. Accurately understanding the directions in these descriptions is important in order to avoid boundary disputes or errors in land surveys.

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Answer:

someone help

Step-by-step explanation:

The question is: how many boys are in the school

If an asset purchased for $46,200 with a useful life of four years and an expected residual value of $6,300 is sold for $32,600 exactly two years after its purchase, the company will record a loss of $3,300.

The straight-line method is used to allocate the cost of an asset evenly over its useful life. In this case, the asset's initial cost is $46,200, and it has a useful life of four years.

The annual depreciation expense is calculated as the difference between the initial cost and the expected residual value, divided by the useful life:

($46,200 - $6,300) / 4 = $9,225 per year

After two years, the accumulated depreciation would be

2 years x $9,225 = $18,450.

If the asset is sold for $32,600, the loss on the sale would be the difference between the selling price and the book value (initial cost - accumulated depreciation):

$32,600 - ($46,200 - $18,450) = $32,600 - $27,750 = $4,850

However, since the loss ($4,850) exceeds the expected residual value ($6,300), the loss recorded would be limited to the difference between the selling price and the expected residual value:

$32,600 - $6,300 = $26,300

Therefore, the company will record a loss of $3,300 ($26,300 - $23,000) when the asset is sold two years after its purchase.

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The approximate value obtained using the number of points and taking their standard deviation is known as uncertainty.

Uncertainty is the approximate value determined by counting the points and subtracting their standard deviations. The range of potential values within which the true value of the measurement sits is referred to as uncertainty in this context. Other names with similar meanings now have different usages.

The value will be close to the value but not exactly the value. The upper bound of the chance of obtaining the next value of the point near 68% is defined by standard deviation.

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Answer:(–0.3, 2.1)

Step-by-step explanation:The graph shows you the solutions for any pair of lines you care about. So, the problem is to figure out which are the lines you care about.

The graph shows you the lines all differ in their y-intercepts. This means you can identify the y-intercepts of the equations of interest, and you will know which lines to look at.

The y-intercept is found by setting x=0 and solving for y:

x +5y = 10

 0 + 5y = 10

 y = 10/5 = 2

3x +y = 1

 3·0 +y = 1

 y = 1

The two lines of interest are the ones that have y-intercepts of 2 (pink) and 1 (blue). They intersect in the 2nd quadrant. Only one answer choice can apply:

 (–0.3, 2.1)

Answer:

A. 4 x - 5 y = - 5 and 3 x + 10 y = - 20

Step-by-step explanation:

if not im sorry

Answer:

Step-by-step explanation:

sorry I apologize

The yards of rope that Mark give his friend is A. one and six-fifteenths

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Mark has four and one-fifth yards of rope and gives one-third of it to his friend.

The fraction given out will be:

= Fraction given × Total yards

= 1/3 × 4 1/5

= 1/3 × 21/5

= 7/5

= 1 2/5

The correct option is A.

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Answer:

Step-by-step explanation:

4 magazines, and each magazines has 13 bullets:

4 bullets for each person:

Firstly, let’s assume the the whole capacity the work requires is 1.

Then, let’s see how 1 man can do in 50 days: 1/5.

Further, let’s see how 1 man can do in 1 day : 1/(5×50) = 1/250.

Similarly, let’s see how 1 woman can do in 1 day: 1/(10×50) = 1/500.

Now, we have 8 men, and they can do 8*1/250 in 1 day, which is 4/125.

Besides, we have 4 women, and they can do 4×1/500 in 1 day, which is 1/125.

Therefore, all people we have can do 4/125 + 1/125 of the work in 1 day, which is 1/25.

As a result, the work takes 1/(1/25)= 25 days.

Answer:

In a bubble sort, on each pass through the list that must be sorted, the largest value "bubbles" to the end of the list. Therefore, after each pass, the end of the list is guaranteed to be sorted. This means that we can stop making pair comparisons one comparison sooner, which is option B.

Step-by-step explanation:

Bubble sort works by repeatedly comparing and swapping adjacent elements in the list if they are in the wrong order. During each pass through the list, the largest unsorted element "bubbles up" to its correct position. As a result, after the first pass, the largest element is in its correct position, after the second pass, the two largest elements are in their correct positions, and so on.

Therefore, with each subsequent pass, you can stop making pair comparisons one comparison sooner because the elements at the end of the list are already sorted.

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