In the following problems, name the method by identifying whether the integral can be evaluated using substitution, integration by parts, or partial fractions.

Answer:

10 1/5

Step-by-step explanation:

14 3/5 - 4 2/5 = 10 1/5.

Answer:

10 1/5

Step-by-step explanation:

3/5-2/5=1/5

14-4=10

10 1/5

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Regular price = 300

Sale = 15%

Price after sale

= 300 - 15%(300)

= 300 - 15/100 x 300

= 300 - 15 x 3

= 300 - 45

= 255

The slope of the line according to the graph will be -2 which is denoted by m.

What is slope?

The ratio of how much y grows as x grows by a certain amount is known as slope of line. The slope of a line tells  how steep it is, or how much y rises as x rises. Everywhere along the line, the slope remains constant (the same).

What is slope formaulae?

the slope of line is denoted by m.

              m=(y2-y1)/(x2-x1)

The points on the graph are (x1,y1)=(3/2,0)

                                                (x2,y2)=(0,3)

According to the formulae,

                                slope(m)=(y2-y1)/(x2-x1)

                 substitute the values above

                                      =>(3-0)/(0-3/2)

                                     =>3/(-3/2)

                                       =>-2

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The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

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

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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     "Not independent" means that the situation is dependent. It is not relying on something else, or something else will not change the outcome. Independent means the situation is isolated, it is independent.

A jar contains green marbles and orange marbles. A green marble is selected followed by an orange marble, at random, without replacement.

Not independent

-> Since the marbles are not being replaced, this isn't independent

A coin is flipped three times.

Independent

A bag contains nickels and dimes. A nickel is selected followed by a dime, at random, with replacement.

Independent

-> Because there is replacement, this is independent

A number cube is rolled twice.

Independent

Answer:

8 weeks

Step-by-step explanation:

300-60= 240

240/30= 8

Answer:

D. g(x) = 3x²

Step-by-step explanation:

Clearly, g(x) = 9x² = (3x)².

The correct option is :-

D. g(x) = 3x²

Answer: A

Step-by-step explanation:

First, the problem is g(f(x)). You would plug in f(x) wherever you see an x in g(x). To find the domain, you take the bottom function, and set it equal to 0.

\(\sqrt{x-2} =0\)

When you solve that, you get x=2. You know your domain is x≥2, but there is as asymptote at x=11. That means the graph never reaches x=11, but gets very close. You find that by setting the entire equation equal to 0 and solve from there.

Answer:

Plan One: y=4x+40

Plan Two: y=12x

Step-by-step explanation:

Answer:

=-3/8-7/16

Step-by-step explanation:

If b=-3/8

y=-4/7

Then b+1/4y= - 3/8 +1/4*(-4/7)= - 3/8 +1/(-16/7) =

=-3/8-7/16

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We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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Answer:

\(y=60^\circ\)

Step-by-step explanation:

\(m\angle y\:=\:\frac{1}{2}\:m \angle {120^\circ}\\\\=60^\circ\)

Best Regards!

Step-by-step explanation:

\( \frac{x + 1}{5} + \frac{x + 1}{6} +\frac{x + 1}{7} +\frac{x + 1}{8} +\frac{x + 1}{9} +\frac{x + 1}{10 } = 0\)

\((x + 1)( \frac{1}{5} + ... + \frac{1}{10} ) = 0\)

Since the second factor is non-zero, the only possible condition for the equation to hold is,

\(x + 1 = 0\)

\(x = - 1\)

The shortest side of the triangle measures 17 feet.

The second side of the triangle measures 20 feet.

The third side of the triangle measures 31 feet.

The perimeter of a triangle is the sum of the length of the three sides of the triangle.

Let the shortest side be represented with s.

The second side = 3 + s

The third side = 2s - 3

2s - 3 + 3 + s + s = 68

4s = 68

s = 17

The second side = 17 + 3 = 20

The third side = = (2 x 17) - 3 = 31

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complete question:

The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 68 feet, what are the lengths of the three sides?

Answer:

52 miles

Step-by-step explanation:

total miles needed to average 56

56 * 6 = 336

miles after 5 days

51 + 62 + 61 + 47 + 63 = 284

miles needed on last day

336 - 284 = 52 miles

Answer:

80  4

Step-by-step explanation:

80 + 4 = 84

80/4=20

Hope this helps :)

A new shape with an area of 1 square unit that is not a square can be formed by combining two small triangles

The given parameters are:

The area of each small triangle is:

Area = 0.5 square unit

Multiply both sides by 2

2 * Area of triangle = 1 square unit

Substitute Area of square = 1 square unit

2 * Area of triangle = Area of square

This means that a new shape can be formed by combining two small triangles

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Answer:

its inner mars made of gas

and outer Jupiter made of rock

Step-by-step explanation:

i am in high school trust me

Answer:

inner venus made of rock

outer neptune made of gas

Step-by-step explanation:

inner planets are made of rock

outer planets are made of gas

inner planets: mercury, venus,earth. and mars

outer planets: jupiter,saturn,uranus and neptune

hope that helped!!!

Answer:

Perimeter: 26

Area: 40

Step-by-step explanation:

Since we can't see the image, I'll just assume that X and Y are Length and Width?

In that case, the mathematical formula for finding (P) would be:

P = 2( L + W )

This means the the perimeter is: Two times the (Length plus Width)

If we input the two numbers, the equation is now:

P = 2 ( 8 + 5 )

When you multiply these values, the final answer for perimeter will be 26.

----------------------------------------------------------------------------------------------------------

To find the (A) of a rectangle, you must multiply the ( Length) and (Width).

So, if the length is 8, and the width is 5.   8   x   5  =    40.

Meaning that the area of this shape is 40.

------

Perimeter: 26

Area: 40

Answer:

She did better in Math 82. In English in 79

Step-by-step explanation:

Actuaries in a town. ... his earning is equivalent to the select an answer an Actuaries, and he is making less

Answer:

the c.o.p is 14.25

Step-by-step explanation:

The value of the given expression is 11.57

Division are written as a ratio of two values. Given the expression below

5+6+6+2^6 ÷ 7

Simplify to have:

(11+6+64)÷ 7

Simplify the expression in parenthesis

81÷ 7

11.57

Hence the value of the given expression is 11.57

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Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.

To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.

Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:

Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound

Cost of one ounce of flour = $12 / 16 ounces

Cost of one ounce of flour = $0.75

Therefore, the cost of one ounce of flour is $0.75.

To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:

Number of ounces of flour = Total money / Cost of one ounce of flour

Number of ounces of flour = $3.30 / $0.75

Number of ounces of flour ≈ 4.4 ounce

Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.

In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.

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