Find the volume of the bag and candle.Round to the nearest tenth

Answer : The sixth term in the binomial expression is, [tex]^{10}C_5a^{5}b^{5}[/tex]

Step-by-step explanation :

The general formula to calculate the term of binomial expression is:

[tex]T_(r+1)=^nC_ra^{(n-r)}b^r[/tex]

where,

(r+1) = number of term

As we are given the binomial expression :

[tex](5y+3)^{10}[/tex]

For sixth term :

a = 5y

b = 3

n = 10

As, r + 1 = 6

So, r = 6 - 1

r = 5

Now put all the given values in the above formula, we get:

[tex]T_(r+1)=^nC_ra^{(n-r)}b^r[/tex]

[tex]T_(5)=^{10}C_5a^{10-5}b^5[/tex]

[tex]T_(5)=^{10}C_5a^{5}b^{5}[/tex]

Thus, the sixth term in the binomial expression is, [tex]^{10}C_5a^{5}b^{5}[/tex]

Horace need to buys 2.5 pounds of blueberries

1 pounds = 16 ounces, therefore,

3 pounds = 48 ounces (we multiply 16 and 3 = 48)

To find how many pounds he need to by = 3 ounces – [tex]\frac{2}{4}[/tex]

= 3 – [tex]\frac{2}{4}[/tex]

= [tex]\frac{3}{1}[/tex] – [tex]\frac{2}{4}[/tex] (4 is the smallest number can divide both denominator) therefore, we have

= (4 x 3) – (1 x 2) / 4

=  12 - 2 / 4

= [tex]\frac{10}{4}[/tex]

= 2.5

Thus, Horace buys 2.5 pounds of blueberries.

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KEYWORDS:

You have a 25% chance on landing on any of the colors  

You Look at all of the possible ways you can land on which is purple, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer

Answer:

20% = 0.2

Step-by-step explanation:

Let A = Wall Street Journal = 45%

Let B = USA Today = 40%

Let C = Both = 25%

C = A∩B = 25%

The focus is to determine that a random library subscribes to A only

The probability of subscribing to A = 45%

However, there are subscribers to A that are also subsribed to B

This group is C = 25%

To find the probability of subscribing to A only;

Probability of A only = P{A} - P{A∩B} = P{A} - P{C}

P{A} only = 45% - 25% = 20%

P{A} only = 0.2

Answer:

B) The function is even.

Step-by-step explanation:

The function shown in the graph is ƒ(x) = |x|. This function is symmetric about the y-axis and is therefore, even.

In simple words: If you fold the picture in half then the lines should be on top of each other and become one.  If this happens, then this is an even function.

To find the current balance B after 13 months with an initial deposit of $2,713.00 and a 5% monthly service fee, you multiply the initial deposit by 0.95 to the power of 13, resulting in a balance of approximately $1,392.64.

The student's question involves using a given mathematical formula to find the current balance of a savings account affected by a monthly service fee. The formula provided states that the current balance B is equal to the initial deposit I times the quantity (1 - monthly service fee f) raised to the power of the number of months n. To calculate the current balance after 13 months, given an initial deposit of $2,713.00 and a monthly service fee of 5%, you'd perform the following calculation:

Using a calculator, this gives:

B = $2,713.00 × (0.9513) ≈ $2,713.00 × 0.5133421 ≈ $1,392.64

Rounded to the nearest cent, the value of B after 13 months is $1,392.64.

The equation that models the relationship between the number of blades of grass (y) and the area of lawn (x) is y=88x−124. This equation represents the rate of 88 blades per square inch with an initial count of 52 blades.

To find the equation that models the relationship between the number of blades of grass (y) and the area of lawn (x), we can use the given information to form a linear equation.

Step 1: Determine the rate of change. Subtract the initial number of blades from the final number and divide by the change in area: (580 - 52) / (8 - 2) = 528 / 6 = 88 blades per square inch.

Step 2: Write the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Step 3: Plug in the slope (m = 88) and one point (x = 2, y = 52) to find the y-intercept:

52 = 88(2) + b

52 = 176 + b

b = -124

Step 4: Write the equation:

y = 88x - 124

The sales associate earns a commission of $13 for each suit sold and $8 for each pair of shoes sold, found by solving the system of equations representing her commission earnings for two different weeks.

To represent the sales associate's commission earnings, we will use two variables: let x be the commission for each suit sold, and y be the commission for each pair of shoes sold.

(a) System of Equations:

The first week's commission can be represented by the equation 3x + y = 47. The second week's commission can be written as 7x + 2y = 107.

(b) Solving the System:

(c) The commission for each pair of shoes is $8.

Answer:

7.5

Step-by-step explanation:

Final answer:

Fiona needs to mow at least 9 lawns to earn at least $135, represented by the inequality 15L ≥ 135, where L is the number of lawns mowed.

Explanation:

To determine how many lawns Fiona must mow to earn at least $135, we can set up an inequality. Fiona earns $15 for each lawn she mows, therefore if we let L represent the number of lawns mowed, then Fiona's earnings can be represented by 15L. She needs to earn at least $135, so we can write the inequality as 15L ≥ 135. To find L, we divide both sides of the inequality by 15, which gives us L ≥ 9. Therefore, Fiona must mow at least 9 lawns to earn at least $135.

Answer: A) 24

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