2 pounds of apples cost $0.76 How much would 3.5 pounds cost?

Answer:

5

−

2

Step-by-step explanation:

3

−

6

+

2

+

4

5

−

6

+

4

There are 1260 number of ways in which the team manager can split the team of 9 engineers into three groups of 4, 3, and 2 engineers respectively, with each engineer in exactly one team.

To determine the number of ways the team manager can split the team of 9 engineers into three groups of 4, 3, and 2 engineers respectively, we can use the concept of combinations.

The combination formula:

\(\[ C(n, r) = \frac{{n!}}{{r!(n-r)!}} \]\)

where n is the total number of engineers and r is the number of engineers to be selected

First, let's select the group of 4 engineers.

We need to choose 4 engineers out of the 9 available. The number of ways to do this can be calculated using the combination formula as:

\(\[C(9, 4) = \frac{{9!}}{{4!(9-4)!}}\)

\(= \frac{{9!}}{{4!5!}}\)

\(= \frac{{9 \times 8 \times 7 \times 6}}{{4 \times 3 \times 2 \times 1}}\)

= 126

So, there are 126 ways to select a group of 4 engineers from the team of 9.

Next, let's select the group of 3 engineers.

We need to choose 3 engineers from the remaining 5. Using the combination formula again, we have:

\(\[ C(5, 3) = \frac{{5!}}{{3!(5-3)!}} \\\)

\(= \frac{{5!}}{{3!2!}} \\\)

\(= \frac{{5 \cdot 4}}{{2 \cdot 1}}\)

= 10

There are 10 ways to select a group of 3 engineers from the remaining 5.

Finally, we assign the remaining 2 engineers to the last group.

To obtain the total number of ways the team manager can split the team, we multiply the number of ways for each step:

Total ways = 126 * 10 * 1

          = 1260

To know more about combination refer here:

https://brainly.com/question/33890198#

#SPJ11

Answer: 86

Step-by-step explanation:

calculator but..

\(\frac{36.12}{0.42}\) just convert them into whole numbers and after finding the value put the same number of spaces in the decimal behind it. Did that make sense?

Answer:

container y can hold 12.56 more salt

Step-by-step explanation:pls brainlist

\( {5}^{12} \times {5}^{8} \\ = {5}^{12 + 8} \\ = {5}^{20} \)

Therefore,

\( a) \: {25}^{20} ≠ {5}^{20} \)

\(b) ({25}^{5} ) ^{4} \\ = {25}^{5 \times 4} \\ = {25}^{20} \\ ( {25}^{5} )^{4} ≠ {5}^{20} \)

\(c) \: ( {5}^{3} . {5}^{2} ) ^{4} \\ = ({5}^{3 + 2}) ^{4} \\ = ({5}^{5} )^{4} \\ = {5}^{20} \)

\(d) \: {(5 ^{5}) }^{4} \\ = {5}^{5 \times 4} \\ = {5}^{20} \)

Answers:

\(c)( {5}^{3} . {5}^{2} {)}^{4} \\ d) {(5}^{5} ) ^{4} \)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

6x

Step-by-step explanation:

3x/y=x/2y

Since 2y is 2X greater than y, 6x is 2X greater than 3x.

So,

The answer is 6x.

The least representative measure of the "central value" for this data set include the following: D. range.

In Mathematics and Geometry, a median simply refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest;

Median = 3,000.

In Mathematics and Statistics, the range of a data set can be calculated by using this mathematical expression;

Range = Highest number - Lowest number

Range = 43,000 - 1,500

Range = 41,500.

Mode of data set = 4,000.

Mean of data set = 6545.5.

Read more on range here: brainly.com/question/32352196

#SPJ4

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The limit of the sequence is:

lim an= lim (-1)

k+1 . 3= 3 or -3 (depending on the parity of n)

we use the Alternating Series Test to find the limit of the given sequence. We have already shown that the series ∑ an converges. Therefore, by the Alternating Series Test, we have: lim an= 0

Alternating Series Test states that, if a series is an alternating series, meaning the series has alternating positive and negative terms and the terms decrease in size, then the series converges. If the series has terms that increase in size, then the series diverges.

Therefore, the given series is an alternating series.

Thus, the given series converges.

Let's find out the limit:

Given

an = (3k5 + 2)/k5

The degree of the numerator is 5 and the degree of the denominator is also 5.

Therefore, by using the limit comparison test, we can find the limit of the given sequence.

lim an = lim (3k5 + 2) / k5

= lim 3 + 2/k5

Since lim k → ∞

(2/k5) = 0,

lim k → ∞ an = 3.

Therefore, the required limit is 3.

Alternating Series Test: Alternating Series Test states that, if a series is an alternating series, meaning the series has alternating positive and negative terms and the terms decrease in size, then the series converges. If the series has terms that increase in size, then the series diverges.

Therefore, the given series is an alternating series. Thus, the given series converges.

Identify an Evaluate the following limit:Let's find out the limit:

Given an = (3k5 + 2)/k5

The degree of the numerator is 5 and the degree of the denominator is also 5.

Therefore, by using the limit comparison test, we can find the limit of the given sequence.

lim an

= lim (3k5 + 2) / k5

= lim 3 + 2/k5

Since lim k → ∞

(2/k5) = 0,

lim k → ∞

an = 3.

Therefore, the required limit is 3.

To know more about Alternating Series Test visit:

https://brainly.com/question/30400869

#SPJ11

Slope is change in y over the change in x.

Slope = (-7 - 2) / (-1 -2)

Slope = -9/-3

Slope = 3

Answer:

The slope is 6/7

Step-by-step explanation:

The slope is equal to (y₂ - y₁)/(x₂ - x₁)

Point 1 is (-2,1)

Point 2 is (5,7)

((7) - (1))/((5) - (-2))

(7 - 1)/(5 + 2)

6/7

The slope is 6/7

Answer:

x=4

Step-by-step explanation:

first you would factor the -2(2x-1). -2x2x= -4x, -2x-1= 2

the equation would then be 5x-4x+2=6

add the x's together which turns the equation to 1x+2=6

minus 2 from both sides of the equation which gives you x=4

The required value of x would be 4 in the given equation 5x − 2(2x − 1) = 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine the value of x in the equation

Given that the equations as :

⇒ 5x − 2(2x − 1) = 6

Open the parentheses and apply the multiplicative property,

⇒ 5x - 4x + 2 = 6

Apply the subtraction operation in the terms of x

⇒ x + 2 = 6

⇒ x = 6 - 2

⇒ x =  4

Therefore, the required value of x would be 4 in the equation

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

Answer:

H is the answer

Step-by-step explanation:

Answer:

13.46 s

Step-by-step explanation:

The time it takes James Bond to complete one full oscillation is the period of a pendulum of length, l which is, T = 2π√(l/g) where l = length of pendulum = length of rope = 45 m and g = acceleration due to gravity = 9.8m/s²

So, substituting the values of the variables into the equation, we have

T = 2π√(l/g)

= 2π√(45 m/9.8m/s²)

= 2π√(4.592s²)

= 2π × 2.143

= 13.46 s

So, it takes 13.46 s for him to complete one full oscillation.

Answer:

7

Step-by-step explanation:

First use the (a-b) and (a+b) = a^2 - b^2 which is equal to 25 - 9 x 2

then you multiply 9 x 2 which is 18 so 25 - 18 thus 7. The trick is to remember the rules.

We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.

They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.

Then, 12x has to be at least equal to 720-60=660:

Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:

They have to sell at least 55 T-shirts.

Answer:

Concept: Algebraic Function

Answer:

-4m-3s-2

Step-by-step explanation:

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

The expression that does not represent "the sum of n and 6" is 06+n. The expression On+6 and 06 n are equivalent to n+6, which represents the sum of n and 6.

To understand why 06+n does not represent the sum of n and 6, it's important to recognize that mathematical expressions follow certain conventions. In this case, the order of the terms matters. The expression 06+n implies that the number 6 is being added to n, whereas the expression "the sum of n and 6" implies that n is being added to 6. Therefore, 06+n does not represent the sum of n and 6.

It's worth noting that the expression 06+n could still represent a mathematical equation or relationship, but it does not accurately represent "the sum of n and 6". When working with mathematical expressions, it's important to pay attention to the order of the terms and the intended meaning of the expression to ensure accurate communication and calculation.

Learn more about Expression:

brainly.com/question/28170201

#SPJ11

Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4

Answer:

A. (2,5), (3,6), (6,9)

Step-by-step explanation:

In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.

The common difference is 0.42. The comparison of each ratio's successive values over time for a single firm.

Now, According to the question:

What is meant by ratio?

Therefore, simplifying the equation then we get,

if you take the ranges (y) and subtract one from the other you get 0.42.

(22.84 - 22.42)/(2 - 1) = 0.42/1 = 0.42

(23.26 - 22.84)/(3 - 2) = 0.42

(23.68 - 23.26)/(4 - 3) = 0.42

Hence, The common difference is 0.42

Learn more about Ratio at:

https://brainly.com/question/13419413

#SPJ4

Answer:

answer:1) 2) 3) 4)

Step-by-step explanation:

Write the expressions "Four times the difference of a number and 7 is 32", "One third of a number is 12 less than the number itself", "Ten increased by the quotient of a number and 2 is -15", and "One less than the product of a number and 3 is 5 more than the number itself".

2

SEE ANSWERS

Answer

4

calculista

Genius

19K answers

423.1M people helped

Part 1) "Four times the difference of a number and  is "

Let

x--------> the number

we know that

the expressions is equal to

therefore

the answer part 1) is

Part 2) "One third of a number is  less than the number itself"

Let

x--------> the number

we know that

the expressions is equal to

therefore

the answer part 2) is

Part 3) "Ten increased by the quotient of a number and  is "

Let

x---------> the number

we know that

the expressions is equal to

therefore

the answer Part 3) is

Part 4) "One less than the product of a number and  is  more than the number itself"

Let

x---------> the number

we know that

the expressions is equal to

therefore

the answer Part 4) is

cliffffy4h and 4 more users found this answer helpful

THANKS

4

0.0

(0 votes)

Answer

3.0/5

4

tardymanchester

Ambitious

1K answers

4.6M people helped

Answer:

1)

2)

3)

4)

Step-by-step explanation:

Given : Expressions in words.

To find : The expressions value?

Solution :

Let x be the number,

According to question,

1) "Four times the difference of a number and 7 is 32"

2) "One third of a number is 12 less than the number itself"

3) "Ten increased by the quotient of a number and 2 is -15"

4) "One less than the product of a number and 3 is 5 more than the number itself"

The time of flight for the ball kicked by Tommy with an initial speed of 12 m/s at an angle of 25 degrees to the horizontal is approximately 2.18 seconds.

To determine the time of flight for the ball and whether it strikes Mr. Lowno's descending, we need to analyze the motion of the ball in projectile motion. Projectile motion refers to the motion of an object that is launched into the air and experiences both horizontal and vertical components of motion.

Given:

Initial speed (velocity) of the ball, V₀ = 12 m/s

Launch angle, θ = 25 degrees

Acceleration due to gravity, g = 9.8 m/s²

First, we need to split the initial velocity into its horizontal and vertical components. The horizontal component (Vx) remains constant throughout the motion and is given by:

Vx = V₀ * cos(θ)

The vertical component (Vy) changes due to the effect of gravity and can be calculated as:

Vy = V₀ * sin(θ)

Now, we can determine the time of flight (t) for the ball. The time it takes for the ball to reach its maximum height is equal to the time it takes to fall back down. Since the vertical motion is symmetrical, we can use the following equation to find the time of flight:

t = (2 * Vy) / g

Substituting the values:

t = (2 * 12 * sin(25°)) / 9.8

Calculating this, we find that the time of flight is approximately 2.18 seconds.

To determine if the ball strikes Mr. Lowno's descending, we need additional information such as Mr. Lowno's position or the height at which the ball was launched. Without this information, we cannot definitively state whether the ball strikes Mr. Lowno's descending. The time of flight only provides us with the duration of the ball's motion.

Learn more about angle here:

https://brainly.com/question/30147425

#SPJ11

We are told tha our sample consists of n=1100 polls, out if which 542 said yes.

The 90% confidence level is not used to calculate the point estimate of the population proportion p.

The best point estimate of the population proportion p is obtained by simply calculating the the proportion among the sample. That is

which rounded to three decimal places is

The break-even point is 20 units.

The cost and revenue at the break-even point is $4600.

The break-even point is the point at which the cost and revenue are equal. Thus, we can say:

R(x) = C(x)

230x = 220x + 200

230x - 220x = 200

10x = 200

x = 200/10

x = 20

Thus, the break-even point is 20 units

cost and revenue at the break-even point:

Put x = 20 into the C(x) and R(x) respectively

C(x) = 220x + 200

C(20) = 220(20) + 200

C(20) = $4600

R(x) = 230x

R(20) = 230 * 20

R(20) = $4600

Learn more about break-even point on:

https://brainly.com/question/15281855

#SPJ1

The amount of coupons for each bag is 3 coupons.

To determine the number of coupons that can be put in each bag, first calculate the total number of apples in both types of bags.

Bag type A - 10 apples per bag x 30 bags = 300 apples

Bag type B - 25 apples per bag x 10 bags = 250 apples

The total number of apples is 300 + 250 = 550 apples.

Next, we need to find the total number of workers involved in putting coupons in the bags.

5 workers + 3 workers = 8 workers

Finally, we can divide the total number of coupons by the total number of workers to find the number of coupons each worker will put in each bag.

29 coupons / 8 workers = 3.63 coupons/worker

Since the workers are trying to put an equal number of coupons in each bag, they will round down to the nearest whole number, which is 3 coupons/worker.

Learn more on divisions here: https://brainly.com/question/1622425

#SPJ1

Answer: To construct a box plot from the given data, we need to first find the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.

The minimum value is 47.

To find the quartiles, we first need to put the data in order from smallest to largest:

47, 49, 49, 52, 58, 59, 68, 71, 90, 91

There are 10 data points, so the median (Q2) is the average of the fifth and sixth values:

Q2 = (58 + 59)/2 = 58.5

To find Q1 and Q3, we need to find the medians of the lower and upper halves of the data, respectively. The lower half of the data is:

47, 49, 49, 52, 58

So the median (Q1) of this half is:

Q1 = (49 + 49)/2 = 49

The upper half of the data is:

68, 71, 90, 91

So the median (Q3) of this half is:

Q3 = (71 + 90)/2 = 80.5

Now that we have found the minimum, Q1, Q2, Q3, and maximum values, we can construct the box plot:

  |     *

  |  *  |

  |-----|-----|-----|-----|-----|-----

 40    50    60    70    80    90   100

The line inside the box represents the median (Q2), the box goes from Q1 to Q3, and the whiskers extend from the box to the minimum and maximum values. The asterisk (*) represents an outlier, which is any data point more than 1.5 times the interquartile range (IQR) away from the nearest quartile. In this case, there are no outliers.

Step-by-step explanation:

The unconditional mean E(Y) of the autoregressive model AR(1) is 10.5.

To compute the unconditional mean E(Y) of the autoregressive model AR(1) given by 1.05 + 0.9Y + ε, we can use the property of linearity in expectation and solve for the mean value.

The model can be rewritten as:

Y = (1.05 + ε) / (1 - 0.9)

Since ε follows a normal distribution with mean 0 and variance 0.01, we know that E(ε) = 0.

Using the linearity of expectation, we can compute the unconditional mean E(Y) as follows:

E(Y) = E((1.05 + ε) / (1 - 0.9))

= (1.05 + E(ε)) / (1 - 0.9)

= 1.05 / (1 - 0.9)

= 1.05 / 0.1

= 10.5

Learn more about Autoregressive model here, https://brainly.com/question/29933730

#SPJ11

Answer:

D

Step-by-step explanation:

The sum to n terms of an arithmetic series is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12, d = 4 and n = 30 , then

\(S_{30}\) = \(\frac{30}{2}\) [ (2 × 12) + (29 × 4) ]

     = 15(24 + 116)

     = 15 × 140

     = 2100 → D

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.

The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows

Sn = n/2 [2a₁ + (n-1)d].

as given in the problem

a₁ =12, d = 4, and n = 30

Sn = 30/2 [2×12 + (30-1)×4]

    = 2100

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.

Learn more about the arithmetic series from here

https://brainly.com/question/16415816

#SPJ5