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The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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The negations to the following statements by the use of De Morgan's Law is ¬(M ∨ N) and ¬(M ∧ N).

De Morgan's laws, often known as De Morgan's theorem, are a pair of transformation rules that are both acceptable rules of inference in propositional logic and Boolean algebra. They have the name of the 19th-century British mathematician Augustus De Morgan. The rules let conjunctions and disjunctions to be expressed solely in terms of one another through negation.

The conjunction of the negations is the negation of a disjunction.

The disjunction of the negations constitutes the negation of a conjunction,

The intersection of their complements and the complement of the union of two sets

The union of their complements is the same as the complement of the intersection of two sets.

¬∀x¬∃y¬(¬M(y)→N(x))

Contrapositive law M→ N = (~ N) → (~ M)

~ De Morgan's laws (MɅN) MV~N ~=

~ (MVN) =~ M Ʌ~ N

Commutative laws (M ∧ N) = M ∧ Q (MVN) = MVN

Distributive laws

MɅ(N V R) = (M ∧ N) V (M ∧ R)

M V (N ∧ R) = (M ∨ N) ∧ (M ∨ R)

Associative laws M∧(Q∧R) = (M∧N) ∧ R

M V (NVR) = (M ∨ N) ∨ R.

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The first step we need to take is to convert the size of the meter stick to centimeters. This is done below:

Now that both the height and the shadow are on the same unit, we can create a proportion to determine the height of the flag. Which is done below:

We can eliminate the units, then cross multiply to determine x.

The flag has a height of 25 ft.

∠2 and ∠3 are alternate interior angles. In order to A II B, the alternate interior angles must be equal.

Then,

To find x, subtract x from both sides of the equation:

Now, add 10 to both sides of the equation:

Finally, divide both sides by 2:

Answer: x = 20.

Answer:

Omg i need help on this too

Step-by-step explanation:

Some one please help us!

Is it for RSM

Answer:

A =  15 a²b²c² square units

Step-by-step explanation:

Area of a rectangle = LW

                    A = (1.5abc)(10abc)

                    A =  15 a²b²c² square units

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer: The required vertices after reflection are A'(2, -3), B'(5, -5), C'(7, -3) and D'(5, -2).

Step-by-step explanation:  Given that the figure ABCD is reflected across the X-axis.

We are to find the co-ordinates of A, B, C and D after reflection.

From the figure, we note that the co-ordinates of the vertices of ABCD are

A(2, 3), B(5, 5), C(7, 3) and D(5, 2).

After reflection from X-axis, the y co-ordinate of each vertex will change its sign (y → -y).

Therefore,  the vertices of ABCD after reflection are

A(2, 3)  ⇒ A'(2, -3),

B(5, 5)  ⇒  B'(5, -5),

C(7, 3)  ⇒  C'(7, -3),

D(5, 2)  ⇒ D'(5, -2).

Thus, the required vertices after reflection are A'(2, -3), B'(5, -5), C'(7, -3) and D'(5, -2).

Answer:correct answers are 3.96

2.32

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 4u + 6 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -7, b = 4, and c = 6. Substituting these values, we get:

u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)

u = (-4 ± sqrt(136)) / (-14)

u = (2 ± sqrt(34)) / 7

Therefore, either:

cos(θ) = (2 + sqrt(34)) / 7

or:

cos(θ) = (2 - sqrt(34)) / 7

Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos((2 + sqrt(34)) / 7)

θ = arccos((2 - sqrt(34)) / 7)

Using a calculator, we find:

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

Let's find the volume of each figure.

The volume of the cylinder is given by:

Where:

r = radius = 4cm

h = height = 6cm

so:

The volume of the cone is given by:

where:

r = radius = 6cm

h = height = 8cm

so:

Since:

The cylinder and the cone have equal volume.

Answer:

it would be 12 righhht?? because if each bunch is 6 and she has 2 bunches you would add 6+6 and get 12!! i thinkkkk or multiply :))

Step-by-step explanation:

Answer:12

Step-by-step explanation: 6 times 2 equals 12

Answer:

d

Step-by-step explanation:

complimentary is 90 degrees

The shaded area expressed as a fraction, a decimal, and a percent of the whole is 23/100, 0.23 and 23% respectively

From the question, we are to express the shaded area as a fraction, a decimal, and a percent of the whole.

In the diagram, there are 100 total squares and 23 of them are shaded

Expressing the shaded area as a fraction, we get

\(\frac{23}{100}\)

Expressing the shaded area as a decimal, we get

\(\frac{23}{100}\) = 0.23

Expressing the shaded area as a percent , we get

\(\frac{23}{100}\times 100\%\) = 23%

Hence, the shaded area as a fraction, a decimal, and a percent of the whole is 23/100, 0.23 and 23% respectively

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

all you got to do at the Sheldon also picks tomatoes from his garden.  He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away.  How many kilograms of tomatoes were not rotten?  Write an equation that shows how you reached your answer.

Step-by-step explanation:

Sheldon also picks tomatoes from his garden.  He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away.  How many kilograms of tomatoes were not rotten?  Write an equation that shows how you reached your answer.

We must express a summation, with i index and lower limit 1, the following sum:

We can write the terms as:

We see that the general term is (2i - 1) and the upper limit is n. So the sum is:

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

parallel

Step-by-step explanation:

maybe I guess it parallel, cause it not perpendicular

Answer:

Step-by-step explanation:

3x - 8y = 19

    -8y = -3x + 19

        y = (3/8)x - 19/8

32x + 12y = 19

         12y = -32x + 19

             y = (-32/12)x + 19/12

             y = (-8/3)x + 19/12

as the slopes of the lines are negative reciprocals of each other, the lines are PERPENDICULAR

The amount of money with the simple interest is A = $ 1,780

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as I

Now , the amount with simple interest A = P + I

Now , the principal P = $ 1,000

The interest rate R = 13 %

The number of years T = 6 years

And , Simple Interest I = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest I = ( 1000 x 13 x 6 ) / 100

On simplifying the equation , we get

Simple Interest I = $ 780

Now , the amount after 6 years = $ 1,000 + $ 780

The amount after 6 years = $ 1,780

Hence , the simple interest is $ 780

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Answer:

A) 70%

B) 95%

Step-by-step explanation:

A) $200 to $340

Increase = $340 - $200 = $140

Percentage of increase = $140/$200 * 100% = 70%

B) Additional $50

Increase = $140 + $50 = $190

Percentage of increase = $190/$200 * 100% = 95%

The answer is                                                                                                                                  

      S                                                     .For many reasons    

Therefore,

Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.

To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.

Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.

Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

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Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

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Answer:

x = 11

Step-by-step explanation:

divide both sides by 7

x = 11