a conical water jug is 7cm, it's diameter and 6cm deep. find the volume of the water it can hold​

Answer:

70%

Step-by-step explanation:

I hope this helps!

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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Answer: 4

Step-by-step explanation:

\(f(4)=\frac{1}{4} \cdot 2^{4}=\frac{1}{4} \cdot 16=4\)

Answer:

1 1/2  hope this helped

Answer:

4

Step-by-step explanation:

\( Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} \)

\( =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} \)

\( =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} \)

\( =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} \)

\( =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} \)

\( =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} \)

\( =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} \)

\( =2(1+\cos 0) \times 1 \)

\( = 2(1+1) \)

\( = 2(2) \)

\( \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 \)

the statement is true for all positive integers n. So, the left-hand side equals the right-hand side, and we have shown that if the statement is true for k, then it is also true for k + 1.

An integer is a whole number that can be either positive, negative or zero. Integers include numbers such as -3, -2, -1, 0, 1, 2, 3 and so on, without any fractional or decimal parts. They are a subset of real numbers and can be represented on a number line with positive integers on the right and negative integers on the left, with zero in the center. Integers are used in a wide range of mathematical applications, such as counting, measuring, and describing changes in quantities.

by the question.

To prove this statement by induction, we need to show that:

The statement is true for n = 1 (base case)

If the statement is true for some positive integer k, then it is also true for k + 1 (inductive step)

Here are the steps to prove this statement by induction:

Base case (n = 1):

When n = 1, the left-hand side of the equation is:

2(1)Σr² r=1 = 2(1)1² = 2

And the right-hand side of the equation is:

1/3(2(1) + 1) (4(1) + 1) = 1/15(3)(5) = 1

So, the statement is not true for n = 1. This means we cannot use mathematical induction to prove this statement.

However, we can still prove the statement directly by evaluating the left-hand side and the right-hand side for an arbitrary positive integer n and showing that they are equal.

Inductive step:

Assume the statement is true for some positive integer k, i.e.

2kΣr² r=1 = k/3(2k + 1) (4k + 1)

We need to show that the statement is also true for k + 1, i.e.

2(k + 1)Σr² r=1 = (k + 1)/3(2(k + 1) + 1) (4(k + 1) + 1)

We start with the left-hand side:

2(k + 1)Σr² r=1

= 2kΣr² r=1 + 2(k + 1) ² (by adding the next term in the summation)

= k/3(2k + 1) (4k + 1) + 2(k + 1) ² (by the inductive hypothesis)

= k (8k² + 14k + 6)/3(2k + 1) (4k + 1) + 2(k + 1)² (by simplifying the expression)

= (8k³ + 26k² + 22k + 6)/3(2k + 1) (4k + 1) + 2(k + 1) ²

= (8k³ + 26k² + 22k + 6 + 6(2k + 1) (4k + 1))/3(2k + 1) (4k + 1)

= (8k³ + 26k² + 22k + 6 + 48k² + 26k + 6)/3(2k + 1) (4k + 1)

= (8k³ + 74k² + 48k + 12)/3(2k + 1) (4k + 1)

= (k + 1)/3(2(k + 1) + 1) (4(k + 1) + 1)

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Answer:

(d) -12

Step-by-step explanation:

3a = _____

a = -4

3(-4) = ___

3(-4) = -12

The answer is (d) -12

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

The function has no vertical asymptotes and horizontal asymptotes are at y = 0.

A straight line that continuously approaches a certain curve without ever meeting it is an asymptote. In other words, an asymptote is a line that a curve travels toward as it approaches infinity.

A straight line that serves as the asymptote of the curve y = f(x) or, in its implicit form, f(x,y) = 0, where the distance between the two lends to zero as the points on the curve approach infinity.

Given function,

f(x) = -7/(x² + 4)

in the given function the degree of the denominator is more than the numerator so The horizontal asymptote lies at y = 0 because, as we can see, the degree of the numerator is less than the denominator.

and there will be no vertical asymptote.

The graph of the equation is attached.

Hence horizontal asymptote lies at y = 0 and ni vertical asymptote.

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Answer:

Step-by-step explanation:

Let's start by figuring out how many half gallons of milk the store had before the refrigerator malfunctioned.

The store bought the milk for $2.40 per half gallon, so the cost of the milk before the malfunction was:

cost_before = 2.40 * x

where x is the number of half gallons of milk the store bought.

After the malfunction, the store had x - 14 half gallons of milk left. The store sold the remaining milk for $4.04 per half gallon, so the revenue from selling the remaining milk was:

revenue_after = 4.04 * (x - 14)

The store's profit is equal to the revenue minus the cost, so we can write:

profit = revenue_after - cost_before

Substituting in the expressions we found earlier, we get:

107.44 = 4.04 * (x - 14) - 2.40 * x

Simplifying this equation, we get:

107.44 = 1.64x - 56.56

Adding 56.56 to both sides, we get:

164.00 = 1.64x

Dividing both sides by 1.64, we get:

x = 100

So the store bought 100 half gallons of milk before the refrigerator malfunctioned.

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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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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Answer:

3 feet

Step-by-step explanation:

To solve this problem, we can use the Pythagorean theorem. Let's call the distance from the tent pole to the rope x. We can set up the following equation:

x^2 + 12^2 = 15^2

Solving for x, we get:

x = sqrt(15^2 - 12^2)

x = sqrt(9)

x = 3

Therefore, the distance from the tent pole to the rope is 3 feet.

The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

We break up a number according to its place value and expand it to show the value of each digit.

Given that to write expanded form of 706.039

Expanded Factors Form:

706.039 = 7 × 100  + 0 × 10 + 6 × 1  + 0 × 0.1 + 3 × 0.01 + 9 × 0.001

Expanded Notation Form:

706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

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a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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The purchasing power in five years will be $15,476.

To predict the purchasing power in five years, we can substitute the value of X as 5 into the equation y = 20000(0.95)^X.

Plugging in X = 5, we have:

\(y = 20000(0.95)^5\)

Calculating the expression, we find:

\(y ≈ 20000(0.774)\)

Simplifying further, we get:

\(y ≈ 15480\)

Rounding the result to the nearest dollar, the predicted purchasing power in five years would be approximately $15,480.

Therefore, the closest option to the predicted purchasing power in five years is $15,476.

So the correct answer is:

$15,476.

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Rounding to the nearest dollar, the predicted purchasing power in five years is approximately $15,480.

To predict the purchasing power in five years using the given equation, we substitute the value of x (representing the number of years) as 5 and calculate the result.

The equation provided is: y = 20000(0.95)^x

Substituting x = 5 into the equation, we have:

y = 20000(0.95)⁵

Now, let's calculate the result:

y ≈ 20000(0.95)⁵

≈ 20000(0.774)

y ≈ 20000(0.774)

≈ 15,480

This means that, according to the given equation, the purchasing power of $20,000, with an inflation rate of five percent, would be predicted to be approximately $15,480 after five years.

By changing the value of x (representing the number of years) to 5, we can use the preceding equation to forecast the buying power in five years.

The example equation is: y = 20000(0.95)^x

When x = 5 is substituted into the equation, we get y = 20000(0.95).⁵

Let's now compute the outcome:

y ≈ 20000(0.95)⁵ ≈ 20000(0.774)

y ≈ 20000(0.774) ≈ 15,480

This indicates that based on the equation, after five years, the purchasing power of $20,000 would be estimated to be around $15,480 with a five percent inflation rate.

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Answer:you need to show the diagram in order for me to

Step-by-step explanation:

The correct statement regarding the impact of the mass increase in the mean and median are given as follows:

The mean will increase, and the median will stay the same.

The mean of a data-set is given by the sum of all the observations in the data-set divided by the number of observations in the data-set.

Hence, if one observation is increased, the sum of all the observations also increases, and thus the mean of the data-set increases.

The median of a data-set is the middle value of the data-set, the value which 50% of the measures are less than and 50% are greater than.

The data-set in this problem has an odd cardinality of 5, meaning that the median is the third element of the data-set, which is not affected by the weight of the heaviest elephant, and thus the median remains constant.

Given:

ABCD is a parallelogram.

The objective is to prove AC and BD bisects each other.

Statement 1:

ABCD is a parallelogram.

Reason 1:

Given

Statement 2:

AB || CD.

Reason 2:

Definition of a parallelogram

Statment 3:

∠1 = ∠2 and ∠3 = ∠4.

Reason 3:

Alternate interior angle theorem.

Statement 4:

AB ≅ CD.

Reason 4:

Opposite sides of a parallelogram are congruent.

Statement 5:

△ABE≅△CDE

Reason 5:

ASA

Statement 6:

AE≅CE and BE≅DE.

Reason 6:

CPCTC

Statement 7:

AC and BD bisects each other at E.

Reason 7:

Definition of segment bisector.

Thus, the required reasons are provided for the given statements.

Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

Answer:

3:1 = 6:2 = 12:4

Hope this helps :)

Answer:

3.1=12.4

Step-by-step explanation:

12.4

12/12+4=12/16=3/4.

so 3.1=12.4

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

The graph which best represents the new function is: Y. a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).

First of all, we would determine the slope of the linear function as follows:

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{2\;-\;3}{0\;-\;(-3)}\)

Slope, m = -⅓.

Multiplying by -9, the new slope is:

Slope = -⅓ × -9

Slope = 3.

For the equation of this line, we have:

y - y₁ = m(x - x₁)

y - 3 = -⅓(x - (-3))

y - 3 = -⅓x - 1

y = -⅓x - 1 + 3

y = -⅓x + 2

Increasing the y-value by 2, we have:

y + 2= -⅓x + 2

y = -⅓x + 2 - 2

y = -⅓x.

Therefore, we would have a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).

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Answer:

PLEASE MARK ME BRAINLIEST!!!!!!!

Step-by-step explanation:

Isosceles Triangle

Answer:

Isosceles Triangle

Step-by-step explanation:

plz make me the Brainliest

Answer:-3x - 12 + 5x

Step-by-step explanation:

The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.

When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.

Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.

We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.

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Answer:

A.Josiah

5×4= 20+100=120

10×4=40+40=80

120 is more than 80

After 4 weeks , Josiah has 40 dollars more in his savings account.

Given :

Josiah starts with $100 in his savings account and adds 5 per week.

Let x be the number of weeks they started saving

Total money in savings account = 5 (number of weeks) + initial amount

Total money = \(5x+100\)

Kiri starts with 40 in her savings account and adds 10 each week.

Total money = 10x+40

Now we need to find out how much money each have after 4 weeks

lets replace x by 4

Josiah have \(5(4)+100=120\)

Kiri have \(10(4)+40= 80\)

120-80=40

So , Josiah have 40 dollars more  in his savings account.

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