can anybody help me with this problem in math ? asap .

Answer: you start bye doing th

Step-by-step explanation:

Then you start too do

To write the form of the partial fraction decomposition of the given rational expressions, we need to express them as a sum of simpler fractions. The general form of a partial fraction decomposition is:

f(x) = A/(x-a) + B/(x-b) + C/(x-c) + ...

where A, B, C, etc., are constants and a, b, c, etc., are distinct linear factors in the denominator.

For the rational expression x^2 - 7x:

The denominator has two distinct linear factors: x and (x - 7). Therefore, the partial fraction decomposition form is:

(x^2 - 7x)/(x(x - 7)) = A/x + B/(x - 7)

For the rational expression 6x + 5 / (x + 8):

The denominator has one linear factor: (x + 8). Therefore, the partial fraction decomposition form is:

(6x + 5)/(x + 8) = A/(x + 8)

For the rational expression 20 - 3 / (4x + 3):

The denominator has one linear factor: (4x + 3). Therefore, the partial fraction decomposition form is:

(20 - 3)/(4x + 3) = A/(4x + 3)

In each case, we write the partial fraction decomposition form by expressing the given rational expression as a sum of fractions with simpler denominators. Note that we have not solved for the constants A, B, C, etc., as requested.

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Using visual interpretation of the plot trend, the scatter plot shows positive correlation.

A positive correlation is depicted by a positive slope or trend line on a scatter plot. The trend of the scatter plot slopes upward which establishes a positive association.

If the slope is otherwise negative, such that the trend line slopes downward, then we have a negative association or relationship.

Therefore, the scatter plot shows positive relationship.

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Answer:

x..{9 u have }7 gnf butbnot after 25 points

Step-by-step explanation:

Step-by-step explanation:

To find the factor by which the dimensions of cylinder A were multiplied to produce the corresponding dimensions of cylinder B, we can use the fact that they are similar solids. This means that the ratio of corresponding dimensions is the same for both cylinders.

Since the base of cylinder A has a circumference of 4π units and the base of cylinder B has an area of 9π units, we can use these measurements to find the ratio of the radii of the two cylinders.

The circumference of a circle is given by 2πr, where r is the radius, so the radius of cylinder A is 4π/2π = 2 units.

The area of a circle is given by πr^2, so the radius of cylinder B is sqrt(9π/π) = sqrt(9) = 3 units.

The ratio of the radius of cylinder A to cylinder B is 2/3. Since similar solids have the same ratio for all dimensions, this means that the dimensions of cylinder A were multiplied by a factor of 2/3 to produce the corresponding dimensions of cylinder B.

Answer:

c. 8 cubes

Step-by-step explanation:

In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.

The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces

Answer:

She can advertise for 10 days

Step-by-step explanation:

Here, we want to know for how long can Jackie advertise if she decides to buy a 4-line ad which will run for three days.

The total money she has or she wants to spend is $15.

Now if $4.35 will run for 3 days

then $15 will run for x days

4.35 * x = 15 * 3

4.35x = 45

x = 45/4.35

x = 10.34 which is approximately 10 to the nearest whole number

The dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.

For the given question,

The perimeter of the triangle is 50 units.

The three sides of the triangle is given as;

The formula for finding the perimeter is;

Perimeter =  sum of all sides.

Let 'P' be the perimeter of the triangle. Then,

P = x-1 + 2x-3 + 3x - 6

Simplifying.

P = x + 2x + 3x - 1 - 3 - 6

50 = 6x - 10

6x = 60

x = 10

For the measure of the side length, put x = 10 in the sides.

Thus, the dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.

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The formula when solved for r gives r = \(\sqrt[3]{\frac{6V}{\pi } }\)

From the information given, we have that;

Now, we have the volume of the sphere as;

V = 1/ 6πr³

Let's make 'r' the subject of formula from the volume

This is done by making the variable 'r' stand alone on one end of the equality sign

First, cross multiply, we have;

6V = πr³

Now, divide both sides by the coefficient of r³

r³ = 6V/π

Find the cube root of both sides, we get;

r = \(\sqrt[3]{\frac{6V}{\pi } }\)

Hence, the value is r = \(\sqrt[3]{\frac{6V}{\pi } }\)

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Answer: $192

Step-by-step explanation:

1. Rachel makes $128 for 8 hours of work.

2. Rachel makes x for 12 hours of work.

3. 128 x 12 = 1536

4. 1536/8 = 192

5. Rachel makes $192 for 12 hours of work.

Answer:

All I know is that it is the   Last  Option

Step-by-step explanation:

I did most of this mentally but I can kinda help you out :D

original R: (-5,-5)     New R: (-11,-11)

To go back to original R: (-11+6, -11+6)

original U: (-5, 1)        new U: (1,7)

HOPE THIS HELPEDDDD :333

Answer

x=2 and y=2√2

Step-by-step explanation:

\( \sin( \alpha ) = \frac{2 \sqrt{2} }{x } \\ x = \frac{2 \sqrt{2} }{ \sin(45) } \\ x = 4 \\ {x}^{2} = {y}^{2} + 2 \sqrt{2} \\ {4}^{2} = {y}^{2} + (2 \sqrt{2 \: )}^{2} \\ 16 = {y}^{2} + 8 \\ 16 - 8 = {y}^{2} \\ y = \sqrt{8} \\ y = 2 \sqrt{2} \)

Answer: 2x³-5x²-24x+63

Step-by-step explanation:

\((x-3)^2*(2x+7)=\\\\(x^2-6x+9)*(2x+7)=\\\\2x^3-12x^2+18x+7x^2-42x+63=\\\\2x^3-5x^2-24x+63\)

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

Step-by-step explanation:

-4

Work Shown:

\(a_1 = -1 = \text{ first term} \\\\d = 0.5 = \text{ common difference} \\\\a_n = a_1 + d(n-1)\\\\a_n = -1 + 0.5(n-1)\\\\a_6 = -1 + 0.5(6-1)\\\\a_6 = -1 + 0.5(5)\\\\a_6 = -1 + 2.5\\\\a_6 = 1.5\\\\\)

To determine the minimum number of people with names beginning with the same letter of the alphabet in a group of 200 people, we can use the Pigeonhole Principle.

Since there are 26 letters in the alphabet, there are 26 "pigeonholes" or categories for the first letter of a name. If we assume that each person in the group has a different first letter of their name, then we can put one person in each pigeonhole. However, if we add just one more person, there will be at least one pigeonhole with two people in it (since there are only 26 pigeonholes). Therefore, the minimum number of people with names beginning with the same letter of the alphabet in a group of 200 people is 2.

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All the points which are at the distance of PQ from the center of the circle will be located on the circle.

A circle is a closed shape created by following a moving point on a plane while maintaining a constant distance from another point.

According to the given question, the circle named A has it's center at the point P and has a point Q on the circumference of the circle, so any point at the distance of PQ from the center of the circle will lie on the circumference of the circle.

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Answer:

Points S, T, and W

Hope this helps!

Step-by-step explanation:

The sum of the perimeters of the squares with areas 252 cm², 175 cm², and 112 cm² is __ cm (in radical form).
We get the sum of perimeter in radical form is 158.72 cm.

To find the perimeters of the squares, we need to determine the length of their sides. Since the area of a square is equal to the square of its side length, we can find the side lengths of the squares by taking the square root of their respective areas.

For the square with an area of 252 cm², the side length is √252 cm. Similarly, the side lengths of the squares with areas 175 cm² and 112 cm² are √175 cm and √112 cm, respectively.

The perimeter of a square is four times its side length, so the perimeters of the squares are 4√252 cm, 4√175 cm, and 4√112 cm.

we multiply the side length by 4 for each square and add them up: (4 * 15.87) + (4 * 13.23) + (4 * 10.58) = 63.48 + 52.92 + 42.32 = 158.72 cm.



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Answer:

Sasha reads fat than her twin brother Jeff because in 10 hours he only 300 pages, but even though sasha read her book in 11 hours there's a 50 page difference.

The can is shaped like a cylinder. The volume of a cylinder is:

V= pir²*h

As the volume is 791.7 cm³ and the radius is 6cm, let's consider pi as 3.14 ans solve the equation.

V=pir²*h

791.7= 3.14*6²*h

791.7 = 113.04h

h = 7.003

h = 7 cm

Answer: h= 7cm

Answer:

21.92 inches

Step-by-step explanation:

628.86 inches of fabric on headband for 45 players and 2 coaches

Total persons=45 players +2 coaches=47

Each person uses 628.86/47 inches of fabrics

=13.38 inches per person

384.30 inches for wristband for players only

Each player uses 384.30/45 inches of fabrics

=8.54 inches per person

Karina uses 13.38 inches of fabric for headband and 8.54 inches of wristband for each player

13.38+8.54

=21.92 inches of fabric for each player

Answer:

Multiply to remove the fraction, then set equal to 0 and solve.

Exact Form: y = − 1/10

Decimal Form: y = − 0.1

Step-by-step explanation:

Answer:

y = -1/10 or -0.1

Step-by-step explanation:

Multiply both sides of the equation by 100.

To find the opposite of 5y−17, find the opposite of each term.

The opposite of −17 is 17.

Combine 155y and −5y to get 150y.

Subtract 17 from both sides.

Subtract 17 from 2 to get −15.

Divide both sides by 150.

​Reduce the fraction  

​ to lowest terms by extracting and canceling out 15.

Answer:

  9. 1.75 m/s²; 8 s

  10. (12 6/7) °/s; (10 5/7) kt/s

Step-by-step explanation:

Acceleration is the change in velocity divided by the change in time.

__

  (22 m/s -15 m/s)/(4 s) = 7/4 m/s² = 1.75 m/s²

The eagle's average acceleration is 1.75 m/s².

__

The relation can also be used to find the time for a given change:

  a = Δv/Δt   ⇒   Δt = Δv/a

  Δt = (22 m/s -8 m/s)/(1.75 m/s²) = 8 s

It would take the eagle 8 seconds to go from 8 m/s to 22 m/s.

__

From north to south is a direction change of 180°. Then the rate of change is ...

  a = 180°/(14 s) = 12 6/7 °/s

__

From 75 knots north to 75 knots south (-75 knots, using north as a reference) the magnitude of the average acceleration is ...

  |-75 kt -75 kt|/(14 s) = 150/14 kt/s = 10 5/7 kt/s

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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The two triangles in the figure are similar by the AA (Angle-Angle) similarity theorem, indicating that they have the same shape but may differ in size.

a. The two triangles in the figure are similar because they have the same shape, but may differ in size. More specifically, they are similar by the AA (Angle-Angle) similarity theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In the given figure, we can see that:

Angle A in triangle ABC is congruent to angle D in triangle DEF.

Angle C in triangle ABC is congruent to angle F in triangle DEF.

Therefore, by the AA similarity theorem, we can conclude that the two triangles ABC and DEF are similar.

b. We can write a similarity statement for the two similar triangles as:

Triangle ABC is similar to triangle DEF, written as ΔABC ~ ΔDEF.

Note that this similarity statement indicates that the two triangles have the same shape, but may differ in size. Also, the order of the vertices is important and should be listed in the same order for both triangles.

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Answer: 33

Step-by-step explanation:

a) The histogram for given data is as shown below.

b)From the box and whisker plot we can see that there is no outlier for given data.

c) mean = 47.48

standard deviation = 22.61

IQR = 44

In this question, we have been given the data on the number of contacts for a random sample of 30 elderly adults with smartphones in a large city.

7,20,24,25,25,28,28,30,32,35,42,43,44,45,46,47,48,48,50,51,72,75,77,78,79,83,87,88,13,51,51

a) the histogram for given data is as shown below.

b) From the box and whisker plot we can see that there is no outlier for given data.

c) the mean of the given data is:

m = 47.48

the standard deviation for given data is:

s = 22.61

the First quartile:  

Q1 =  28

the median = 46

the Third quartile:  

Q3 = 72

the Interquartile range:  

IQR = Q3 - Q1

IQR = 72 - 28

IQR = 44

Therefore, for given data:

a)  the histogram for given data is as shown below.

b) there is no outlier for given data.

c) mean = 47.48

standard deviation = 22.61

IQR = 44

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The sailboat and the medical aid should meet at the points

(0, 7) and (5, 12).

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

The intersection point between the two graphs y = - x² + 6x + 7 and y = x + 7 is the point where they meet each other.

Now, For the equation y = - x² + 6x + 7,

When x = 0, y = 7 ⇒ (0, 7).

when x = 1, y = 12 ⇒ (1, 12).

Now for y = x + 7,

when x = 1, y = 8 ⇒ (1, 8).

when x = 2, y =9 ⇒ (2, 9).

Now by taking the graph paper with each box of 1 square unit will plot these points and we obtain that at (0, 7) and (5, 12) these graphs intersect each other.

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Answer:

A,   x(x-4)

Step-by-step explanation:

None of them will give you the vertex you want but the x intercepts are only correct for A

Answer:

Its The Bottom Right one I think D

Step-by-step explanation: