Answer the question in the photo please.

Answer:

given

p(a)= 0.3

p(b)= 0.7

now

p(aub)={(0.3)u(0.7)}

={(0.3),(0.7)}

Answer: 1/4 s^2 or \(\frac{1}{4} s^{2}\)

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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If each term in the sum a1+a2+a3...+an is  7 and the sum equals 350, C: 40 would be equal to n.

In equation form, it is:  

                  7s +  77t = 350

In this equation,

          s represents the number of 7's

          t represents the number of 77's

          thus, the number of terms i.e n = s + t =?

now solving the equation,

        7 (s + 11t) = 350

        7 (s + 11t) = 350

            s + 11t = 50

            s + 11t = 50

now, if  

       s=39     &      t =1  

then

         s + 11t = 50 -> 39 + 11 (1)  = 50

Since the number of terms n = s + t

        n = s + t

        n = 39 + 1

        n = 40

Hence, the if each term in the given sum is 7 which gives a total sum as 350, then number of terms in the given series is 40.

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Answer:

1≤x<10, meaning x must be greater than or equal to 1 and less than 10

Step-by-step explanation:

Answer:

1/2 I believe srry if it's wrong

Answer:

-1/2 took the test hope this helps

If the data were graphed with x on the horizontal axis and y on the vertical axis, this would be the approximate slope of the line between points C and D.

E. 0.17

The approximate slope between points C and D can be calculated by taking the difference in the y-values (9-15) and dividing it by the difference in the x-values (4-2). This yields a slope of -0.17.

The approximate slope between points C and D can be determined by first calculating the change in y-values (9-15) and the change in x-values (4-2). Then, the change in y-values is divided by the change in x-values to calculate the slope. In this case, the slope is -0.17. This means that for every unit of increase in x-values, the corresponding y-values decrease by 0.17. If the data were graphed with x on the horizontal axis and y on the vertical axis, this would be the approximate slope of the line between points C and D.

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First, let's define a few varibles.

x = # of miles

y = # of days

z = total cost

Now, let's create our expression

z = $23.95y + $0.33x

Let's plug the numbers from our problem into our equation.

$150 = $23.95(2) + $0.33x

Simplify the right side

$150 = $47.9 + $0.33x

Subtract $47.9 from both sides

$102.1 = $0.33x

Divide both sides by $0.33

309 miles = x

Note, I rounded my answer down to the nearest whole number.

Answer:

Width = 6k²

Length = 5k+1

Step-by-step explanation:

Given the area of a rectangle expressed as

A = 30k³ + 6k²

Get the greatest common factor

30k³ = (2 * 3 * k²) * k * 5

6k² = (2 * 3 * k²)

The common factor is the value in bracket i.e 2 * 3 * k² = 6k²

Width of the rectangle = 6k²

Get the length

A = LW

L = A/W

L = 30k³ + 6k²/6k²

L = 6k²(5k+1)/6k²

L = 5k + 1

Hence the length L = 5k+1

Hi! I'm happy to help!

Fractions are wholes that are split up. When you split the whole into more pieces, the pieces are smaller.

Due to the fact that 5/12 is split into more pieces than 5/11, and they have the same amount of pieces, 5/11 would be larger because of bigger pieces.

5/11 is bigger because it has bigger pieces.

I hope this was helpful, keep learning! :D

Answer:

7/15

Step-by-step explanation:

Yes you are correct with your answer as you cannot simplify further.

Answer:

Correct

Step-by-step explanation:

7/15 is in simplest form

The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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Answer:

\(x > 60\)

Step-by-step explanation:

\(x-30 > 30\)
\(x > 60\) (add 30 onto both sides of the inequality)

Answer:

a= 3

b.= 3

Step-by-step explanation:

F(x) = ab×

using the 2 given points to find a and b

(0,3)

3=ab⁰

a = 3

(2,27)

27 = 3b² = 9= b²

b = 3

f(x) = 3(3×)

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The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:

C

Step-by-step explanation:

Answer:

c) 4x = 20

x = 5

Step-by-step explanation:

Let the number of people in a van = x

Number of people in 4 vans = 4 *x = 4x

4x = 20

Divide both sides by 4

x = 20/4

x = 5

The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Answer:

= \(\frac{25}{6}\)

Step-by-step explanation:

\(\frac{2}{6\sqrt{8} } \sqrt{2} = \frac{1}{6}\)

\(-(-\frac{18}{\sqrt{-81} } -2) = 4\)

= \(\frac{1}{6} + 4\)

= \(= \frac{1}{6} + \frac{24}{6}\)

= \(\frac{25}{6}\)

Answer:

Step-by-step explanation:

15% of 20 is 3

Answer:

B (1, 1),(3, 9), (7, 49)

Step-by-step explanation:

Given function:

Let's verify which set of pairs are same with the given function:

A....................

B....................

C....................

D....................

Since the given expression is

Since a = 4 and b = -1

Substitute them in the expression above

Simplify the bracket

Simplify the numerator

The missing is 3

Answer:

Step-by-step explanation:

Find the square of 25/9. Thought the answer was 5/3 but the test prep answer key has 7 58/81

\((\frac{25}{9} )^2\\=(\frac{5}{3} )^4\\= \frac{625}{81}\)Answer:

Step-by-step explanation:

Corrina, this is the solution:

• Initial weight of the octopus = 5/6 kg

• Weight the octopus gained in two weeks = 3/10 kg

• Weight lost because of the sickness = 1/5 kg

In consequence, the current weight is:

5/6 + 3/10 - 1/5

Least commond denominator = 30

(25 + 9 - 6)/30 = 28/30

Simplifying:

• 14/15 kilograms is the current weight of the octopus

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

Option (4) and (5)

Step-by-step explanation:

Option (1)

f(x) = -(x + 1)² - 4

Since, given function has the vertex = (-1, -4) and the parabola is the opening downwards,

Range of the function → (-∞, -4]

Option (2)

f(x) = \(2^{x+3}\)

Horizontal asymptote of the function is,

y = 0

Therefore, range of the given function → (0, ∞)

Option (3)

f(x) = x² + 7x - 9

     = x² + 2(3.5)x + (3.5)² - (3.5)² - 9

     = (x + 3.5)²- 12.25 - 9

     = (x + 3.5)²- 21.25

Vertex of the parabola is (-3.5, -21.25) and parabola is opening upwards.

Therefore, range of the function → [-21.25, ∞)

Option (4)

f(x) = -4x + 11

Range of this function is (-∞, ∞).

Option (5)

f(x) = \(\frac{2}{3}x-8\)

Range of the function is (-∞, ∞).

Options (4) and (5) are the correct options.

Answer:

i dont have one but everyone else who does is wrong please fact check yalls answers before you post it please

Step-by-step explanation:

like seriously for the love of god

Answer:

Sue has traveled 124 miles.

Step-by-step explanation:

Here, the distance covered by Sue is a fraction of the total distance to be covered.

The total distance to her aunt's = 372 miles

but the gas station is at one-third of the distance to be covered.

Thus,

Miles traveled by Sue = \(\frac{1}{3}\) x 372

                                    = 124

Miles traveled by Sue = 124 miles.

Therefore Sue has traveled 124 miles.

Answer:

50

Step-by-step explanation:

1/2 *H(l1+l2)

1/2*5(7cm+13cm)

1/2*5*20

1/2*100

50

The area of trapezoid is 10√21 cm².

A quadrilateral having only two sides parallel.

Given:

a= 7 cm, b= 13 cm

slant height = 5

So, height= √5² - 2²

height= √21

So,

A = (½* height)*(Sum of the bases)

A= 1/2 * ( 7+ 13) * √21

A= 10√21 cm²

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Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.