△TUV is a 30°- 60°- 90° triangle, where two vertices are U(3,−1) and V(−3,−1), UV is the hypotenuse, and point T is in Quadrant I.

Find the coordinates of T. Round to the nearest tenth, if necessary.

The coordinates are T
( _ , _ ).

Answer:

6 lol have  a good day

Answer:

I got 56.

Step-by-step explanation:

Well if 1/4 of the bag is 14, then multiply it by 4. Sorry if this is wrong!

Step-by-step explanation:

50 × 5/100 = 2.50

50 + 2.50 = $52.50

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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Answer:

  t = 3/2

Step-by-step explanation:

You want to know the value of t that satisfies 17/20= t + ( - 13/20).

Add 13/20 to both sides of the equation.

  17/20 +13/20 = t -13/20 +13/20

  30/20 = t . . . . . simplify

  3/2 = t . . . . . . . reduce the fraction

The solution is t = 3/2.

Answer:

14. 6

15. 6

Step-by-step explanation:

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

The 4 steps to solve an equation:

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Answer:

Step-by-step explanation:

The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.

i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)

The probability that the sum of the two numbers that show up is 7 is

6/36 = 1/6

ii) the number of outcomes whose sum is even are 18

The probability that the sum of the two numbers that show up is even is

18/36 = 1/2

ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)

The probability that the sum of the two numbers that show up is greater than 9 is

6/36 = 1/6

3) this is a poisson distribution. We want to determine the mean.

Mean = np

p = 5/200 = 0.025

n = 600

Therefore,

Mean = 0.025 × 600 = 15 eggs

15 eggs are expected to be broken from a crate containing 600 eggs

Answer:

y=70

x=55

Step-by-step explanation:

In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:

\(60=y-10\\60=x+5\)

\(60=y-10\)

Add 10 to both sides

\(60+10=y-10+10\\70=y\)

\(60=x+5\)

Subtract both sides by 5

\(60-5=x+5-5\\55=x\)

I hope this helps!

Answer:

x is 55° & y is 70°.

Step-by-step explanation:

This is an equilateral triangle.

In an equilateral triangle all sides are 60°

So,

1) x+5 = 60

x = 55°.

2) y-10 = 60

y = 70°.

Answer: x is 55° & y is 70°.

Answer:

A(-4.5;2) B(0;-3.5).......

Answer: Option B

Step-by-step explanation: The slope is positive because it is going up from left to right. Therefore, it cannot be negative.

Answer: (B) The slope of the line is \(-\frac{3}{5}\).

Step-by-step explanation:

     Since this line is going from the bottom left to the top right, the slope is positive. This means that option B is incorrect, therefore meaning statement B is our answer as it's not true.

           The slope is \(\frac{3}{5}\), not \(-\frac{3}{5}\).

From the relation above, the invalid relational algebra is: D. II, (R x S)

Since Relational algebra is a sort of mathematical expression that is characterized by procedural language and some signs and symbols that make it easier to work it.

We are Given the set above, the invalid relational algebra will be option C. Because the expression does not fall under the category of standard relational algebra denotations.

We have R=(x,y,z), S=(x,w,u) it is an invalid Relational Algebra expression:

A. II,(R - S)

B. (IIz(R) N II, (S)) - R

c. Ily,w(Px=27 (R) Pr22 (S))

D. II, (R x S)

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1) The property of equality that justifies the statement "If AB=CD, then CD=AB" is the symmetric property.

2) The correct pair of corresponding angles is <1 and <8.

3) The slope of the line passing through (2,3) and (-2,-5) is 4/(-4) = -1.

4) The value of x cannot be determined without additional information or context.

5) The scale factor of AABC to ALMN is 1/3.

6) In circle C, m = 180 - 2(72) = 36 degrees.

7) The sum of the measures of the interior angles of an 18-gon is (18-2) x 180 = 2880 degrees.

8) The height of the tree is approximately 86.4 ft.

9) m = 180 - (31+88) = 61 degrees.

10) The polygon has 5 sides (a pentagon).

Procedure Part . Explaining
1) The symmetric property of equality states that if a=b, then b=a. In the given statement, AB=CD and CD=AB are equivalent statements and can be interchanged using the symmetric property.
2) Corresponding angles are pairs of angles that are in the same position relative to the parallel lines and the transversal. In the given figure, angles 1 and 8 are on the same side of the transversal and in the same position relative to the parallel lines, making them corresponding angles.
3) The slope of a line passing through two points (x1,y1) and (x2,y2) is given by (y2-y1)/(x2-x1). Applying this formula to the given points, we get the slope as (3-(-5))/(2-(-2)) = 8/4 = 2. However, the given answer choices do not include 2 as an option.
4) Without additional information or context, it is impossible to determine the value of x.
5) The scale factor of two similar figures is the ratio of their corresponding side lengths. In the given problem, AABC and ALMN are similar triangles, and the scale factor is given by AB/LN = 18/9 = 2 and BC/LM = 12/6 = 2. Since both ratios are equal, the scale factor is 1/3.
6) In a circle, the measure of an inscribed angle is half the measure of the intercepted arc. In this case, the intercepted arc is 72 degrees, so the inscribed angle is 36 degrees.
7) The sum of the measures of the interior angles of a polygon with n sides is given by (n-2) x 180 degrees. Substituting n=18, we get (18-2) x 180 = 2880 degrees.
8) The height of the tree can be determined using similar triangles. The ratio of the height of the tree to its shadow is equal to the ratio of Nancy's height to her shadow, which is 5/9. Thus, the height of the tree is (5/9) x 48 = 26.67 ft. However, the given answer choices are not close to this value, so it is unclear how the problem is meant to be solved.
9) The sum of the measures of the angles in a triangle is 180 degrees. In the given triangle, angles m and n are given, so we can find angle A using A+m+n=180.
10) The measure of each interior angle in a regular polygon with n sides is given by (n-2) x 180 / n degrees. Setting this expression equal to 108 and solving for n, we get n=5. Thus, the polygon has 5 sides, which is a pentagon.

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Answer:

6 x 4 x 3 = 72

Step-by-step explanation:

The least common multiple of the expressions 4.5.3 10xy and 25x¹wy² 0 X 5 is 300xy²w.

To find the least common multiple (LCM) of the expressions 4.5.3 10xy and 25x¹wy² 0 X 5, we need to factorize each expression and then identify the highest power of each factor.

Factorizing the first expression, 4.5.3 10xy:

4.5.3 10xy = 2² * 3 * 5 * 10xy Factorizing the second expression, 25x¹wy² 0 X 5:

25x¹wy² 0 X 5 = 5² * x¹ * w * y²

Now, let's identify the highest power of each factor:

The highest power of 2 in the expressions is 2² = 4.

The highest power of 3 in the expressions is 3¹ = 3.

The highest power of 5 in the expressions is 5² = 25.

The highest power of x in the expressions is x¹ = x.

The highest power of y in the expressions is y² = y².

The highest power of w in the expressions is w¹ = w.

Finally, we can multiply the factors with their highest powers to find the LCM:

LCM = 4 * 3 * 25 * x * y² * w

Hence, the least common multiple of the expressions 4.5.3 10xy and 25x¹wy² 0 X 5 is 300xy²w.

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Answer:

43,560ft

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Therefore, for every 1 acre it is equivalent to 43,560 feet.

Answer:

B and C

Step-by-step explanation:

B. 3.5 x 0.98

C. 7/2 x 98/100

To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.

The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`

Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.

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a). If the only solution is A = B = C = D = 0, then the polynomials are linearly independent and form a basis.

b). We can solve this system of equations to find the values of A, B, C, and D that give the desired polynomial.

To check if the given polynomials form a basis for the vector space of polynomials with degree at most 3,

we need to determine if they are linearly independent and span the entire vector space.

(a) To check for linear independence, we set up the equation:

A(2−lx) + B(1+fx²) + C(lx+mx³) + D(1−x+2x²) = 0

where A, B, C, and D are constants.

Equating the coefficients of like powers of x, we get:

2A + D = 0          (for the constant term)
-Al + Cl + D = 0   (for x term)
B + 2D = 0          (for x² term)
Cm + 2B = 0         (for x³ term)

We can solve this system of equations to find the values of A, B, C, and D that make the equation true. If the only solution is A = B = C = D = 0, then the polynomials are linearly independent and form a basis.

(b) To express the components of the polynomial 3−2x²+5x³ with respect to the given basis, we need to find the constants A, B, C, and D such that:

A(2−lx) + B(1+fx²) + C(lx+mx³) + D(1−x+2x²) = 3−2x²+5x³

We can equate the coefficients of like powers of x to get a system of equations:

2A + D = 0          (for the constant term)
-Al + Cl + D = 0   (for x term)
B + 2D = -2         (for x² term)
Cm + 2B = 5         (for x³ term)

We can solve this system of equations to find the values of A, B, C, and D that give the desired polynomial.

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The y component of vector B can be found using the equation A×B = 82k. Since vector A = 135i, then the y component of vector B must be 82 / 135.

We know that A×B = |A||B|sinθn, where θ is the angle between A and B, and n is the unit vector perpendicular to both A and B (which points either in the positive or negative z direction).

In this problem, A = 135 i and A×B = 82 k, so we have:

|A||B|sinθn = 82 k

|A| = 135

|A×B| = 82

The magnitude of the cross-product is |A||B|sinθ, so we can solve for sinθ:

|A×B| = |A||B|sinθ

82 = 135|B|sinθ

sinθ = 82 / (135|B|)

Since we know that B is perpendicular to A, we can say that B has the form B = b j, where b is some scalar and j is the unit vector in the y direction. Then we have:

A•B = 0

135(0) + b y = 0

y = 0

But we also know that the cross-product of A and B points in the z direction, so the angle θ between A and B must be in the x-y plane (since A and B are both in the x-y plane). This means that sinθ = 1, so we have:

|A×B| = |A||B|sinθ

82 = 135|B|

|B| = 82 / 135

Therefore, the y component of vector B is:

y = b|j| = b = 0 + b j = (82 / 135) j

So the answer is y = 82 / 135.

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Answer:

1. Y-intercept b=5

That means it has a 5.00 starting fee.

2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.

Point one (X1 and Y1) will be the Y-intercept.

X1,Y1 = (0, 5.00)

Point 2 (X2 and Y2) will be the point on the trend line.

X2, Y2 = (200, 6.00)

Plug in:

(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.

3. When printing 200 pages each page will cost $.005.

4. .005x+5

5. .005x+5

.005(300)+5=6.5

good luck♡♡!!

Step-by-step explanation:

The estimated cost of printing Sarah's 300-page book is $6.50.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The y-intercept for the trend line is the value of y when x is equal to zero, which is 5.

The real-world meaning of this point is the fixed cost or base cost of printing a book, which includes expenses like labor, equipment, and materials that are not dependent on the number of pages in the book.

We are given one point on the trend line, (200,6), and the y-intercept is (0,5). So, we can substitute these values in the formula:

slope = (6 - 5) / (200 - 0) = 0.005 or 1/200

The real-world meaning of the slope is the variable cost per page, which represents the additional cost of printing each page beyond the fixed cost.

In this case, the slope of 0.005 means that it costs $0.005 or half a cent to print each additional page.

Using the slope-intercept form, the equation for the trend line is:

y = mx + b

where m is the slope and b is the y-intercept. Substituting the values we obtained in steps 1 and 2, we get:

y = 0.005x + 5

To estimate the cost of printing Sarah's 300-page book, we substitute x = 300 in the equation:

y = 0.005(300) + 5 = 6.5

So, the estimated cost of printing Sarah's 300-page book is $6.50.

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The probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have total number of kitten = 4+5 = 9

Total number of outcomes if the director is going to choose 5 of these kittens at random to be in the commercial:

= C(9, 5) = 126

The director chooses 3 boy kittens number of ways:

= C(4, 3) = 4

The director chooses 2 girl kittens number of ways:

=C(5, 2) = 10

Total favourable outcomes = 10×4 = 40

The probability = 40/126

= 0.317 ≈ 0.32

Thus, the probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.

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The problem here is a related rates problem. There are two things that we must determine here to arrive at the answer. First, we need to obtain an equation that represents the distance between the tips of the hands of the watch.

Then we need to find the rate of change of that distance or dx/dt when the time is 1 o'clock. So let us first obtain an equation that represents the distance between the tips of the hands of the watch. We will use the Pythagorean Theorem to find this equation, which states that: a² + b² = c².

The distance between the tips of the hands of the watch can be represented by the hypotenuse of the right triangle formed by the two hands of the watch, so we can use this equation to get the value of the distance between the tips of the hands:Distance² = 6² + 5²Distance² = 61Distance = √61We can now find dx/dt using the equation: Distance² = 6² + 5²Distance² = 61Distance = √61 Differentiating both sides of the equation with respect to t, we have:2Distance(d Distance/dt) = 0 + 0 + 0dDistance/dt = (-2Distance/distance) (dh/dt) + (2Distance/distance) (dm/dt)where h is the hour hand, and m is the minute hand. Let h = 5mm, and m = 6mm at one o'clock. Then we can substitute to find dx/dt at 1 o'clock: Distance = √61dh/dt = 0 (since the hour hand does not move)dm/dt = 6π radians/hour d Distance/dt = (-2(√61)/(√61)) (5) + (2(√61)/(√61)) (6π)≈ 3.85 mm/hour

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a) The total surface area of tin C in terms of π is 216π cm².

b) The mass of tin D is 780 g.

a) To find the total surface area of tin C, we need to calculate the lateral surface area of the cylinder and add it to the area of its two circular bases.

Given that the radius of tin C is 6 cm (half of the diameter, which is 12 cm), we can calculate the lateral surface area using the formula: lateral surface area = 2πrh, where r is the radius and h is the height.

The height of tin C is given as 7 cm, so the lateral surface area of tin C is:

lateral surface area = 2π(6 cm)(7 cm) = 84π cm²

The area of the two circular bases can be calculated using the formula: area = πr², where r is the radius.

The area of each circular base of tin C is:

area = π(6 cm)² = 36π cm²

Therefore, the total surface area of tin C is:

total surface area = lateral surface area + 2(area of circular base)

total surface area = 84π cm² + 2(36π cm²) = 216π cm²

b) The mass of tin D is directly proportional to its surface area. We are given that the surface area of tin D is 780π cm². Since the mass and surface area are proportional, we can set up a proportion:

mass of tin D / surface area of tin D = mass of tin C / surface area of tin C

Plugging in the values we know:

mass of tin D / (780π cm²) = 76 g / (216π cm²)

Cross-multiplying, we get:

mass of tin D = (780π cm² * 76 g) / (216π cm²)

Simplifying, we find:

mass of tin D = 780 g

Therefore, the mass of tin D is 780 g.

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Answer:

a. 0%

Step-by-step explanation:

The sun always rises in the east.

So the probability of it rising in the west is 0%, which means that the correct answer is a.

Answer:

Ex of Linear Equation Of Both Sides

7x+8=3x+12

Step-by-step explanation: