water leaks out of a tank at a rate of r(t)=13−t23 for t≥0, measured in gallons per minute. initially the tank has 60 gallons of water in the tank. how much water is left in the tank after 3 minutes?

Answer: 256 miles

Step-by-step explanation:

if 1 1/4 inches = 80 miles, then 1/4 inch = 16 miles (there are five 1/4 in 1 1/4 inches, so 80/5 = 16)

there are sixteen 1/4 inches in 4 inches, and we know that each 1/4 inch is equal to 16 miles, so 16*16 = 256

After considering the given data and carefully evaluating the given circumstances we conclude that the satisfactory answer to the given question is Option D.

According to Certified Public Account (CPA) Canada, the agreed-upon and fulfillment system regarding the procedures report must comprises  identification and explanation of the various parties involved in the AUP engagement.
The report on an engagement places of applying agreed-upon procedures must have a statement of restrictions on the use of the report due to its cause of being used solely by the specified parties.

Hence, the answer is D) A disclaimer of responsibility for the sufficiency of these procedures.
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The complete question is
A CPA was engaged to calculate the rate of return on a specific investment according to an agreed-upon formula and verify that resultant percentage agrees to the percentage in an identified schedule. The CPA's report on these agreed-upon procedures should contain:

Multiple Choice

A) A disclaimer of opinion on the fair presentation of the financial statements.

B) An opinion about the fairness of the agreed-upon procedures,

C) A separate paragraph describing the effectiveness of the internal controls.

D) A disclaimer of responsibility for the sufficiency of these procedures.

Answer:

{-1, 5} (two real solutions).

Step-by-step explanation:

On the left side we want x^2, not x?

We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:

x^2 - 4x + 5 = 0

This factors easily to (x - 5)(x + 1) = 0.

We let each factor equal zero (0) separately and solve for x:  

{-1, 5} (two real solutions).

Answer:

-a^2-a+12

Step-by-step explanation:

Answer:

Option C.

\(-a^{2}-a+12\)

Step-by-step explanation:

1.  Distributive multiply

\(-a*(a+4)+3*(a+4)\)

2.  Distributive multiply

\(-a*a-a*4+3*(a+4)\)

3.  Multiply terms to exponential form

\((-1) *a^{2}-a*4+3*(a+4)\)

4.  Multiply constants

\(-a^{2}-4*a+3*(a+4)\)

5.  Distributive multiply

\(-a^{2}-4a+(3*a+3*4)\)

6.  Multiply constants

\(-a^{2}-4a+(3a+12)\)

7.  Reorder terms

\(-a^{2} -4a+(12+3a)\)

8.  Add terms

\(-a^{2}-a+12\)

Step-by-step explanation:

I gone through your work and I don't see anything wrong.

Try reaching out to your teacher.

Answer:

You answered every question correctly. All ten of them. The program you are using has some issues. lol

Step-by-step explanation:

When Partition(numbers, 5, 9) is called in Quicksort for the array (56,25,26,28,81,93,92,85,99,87), the pivot is 92. The low partition is (56,25,26,28,81,85,87).

When Partition(numbers, 5, 9) is called in Quicksort with the array numbers = (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), the element at the midpoint between index 5 and index 9 is chosen as the pivot.  The midpoint index is (5 + 9) / 2 = 7, so the pivot is the element at index 7 in the array, which is 92.

After the partitioning step, all the elements less than the pivot are moved to the low partition, while all the elements greater than the pivot are moved to the high partition. The low partition starts at the left end of the array and goes up to the element just before the first element greater than the pivot.

In this case, the low partition after the partitioning step would be (56, 25, 26, 28, 81, 85, 87), which are all the elements less than the pivot 92. Note that these elements are not necessarily in sorted order yet, as Quicksort will recursively sort each partition of the array.

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Answer:

$453,086.82

The interest payments are:

$273,086.82

Here's how I found this in the easiest way possible.

The picture is your explanation. I used a calculator.

Answer:

Step-by-step explanation:

The monthly payments amount:

Number of payments:

Total payment amount:

The amount of mortgage x, considering the APR:

Amount of down payment:

The cost of the mortgage:

Answer:50/100

Step-by-step explanation: 50/100 simplifies into 5/10, meaning they equal each other. 50 is half of 100, and 5 is half of 10.

Yes, the data collected from interviewing customers at one ShopRite store in Jersey City from Monday to Friday, 9 am-3 pm, could have some issues and biases.

Potential issues include:

1. Limited sample: By conducting interviews only at one store, the percentage of  responses will not provide a comprehesive view of the customer base in Jersey City.

2. Time bias: Surveying customers only between 9 am and 3 pm may exclude individuals who shop outside these hours, leading to an incomplete picture of shopping habits.

3. Location bias: ShopRite customers may not accurately represent the diverse needs and preferences of all Jersey City residents.

4. Self-reported data: Customers may not accurately recall their shopping habits, leading to biased responses.

While the data collected can provide some insights, it may not be sufficient to open a grocery store. You should consider expanding your survey to multiple locations and times, including weekends, and collecting demographic information to better understand the diverse needs of Jersey City residents. Additionally, researching market trends, competitors, and successful grocery store models in similar areas can help inform your business plan.

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Answer:

1.)  1 ,2, 31, 62

2.)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1.)  1x62= 62

2x31= 62

31x2= 62

62x1=62

Each of these number are a multiple of 62.

2.) 1x45=45

3x15=45

5x9= 45

9x5= 45

3.) 420÷2= 210

420÷3= 140

420÷5= 84

420÷6= 70

420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420

540÷2= 270

540÷3= 180

540÷5= 108

540÷6= 90

540÷9= 60

540÷10= 54

2, 3, 5, 6, 9 and 10 is divisible by all of these numbers

Answer:

1)  1 ,2, 31, 62

2)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1)  62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.

2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.

3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list.  The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.

-kiniwih426

The required value of the angles x and y is 40° and 51°.

Given that,
The angle pair relationships in the diagram, To write and solve equations for x and y,

The equation is the relationship between variables and is represented as y =ax +b    is an example of a polynomial equation.

Here, two parallel lines intersected by a line,

Here,
by intersection through transversal line y  and 119° are two supplementary angles.
\The sum of the supplementary angle is 180,
119 + y = 180
y = 180 - 119
y = 51°

Now 5x +11 and y are corresponding angles for parallel lines,
y  = 5x + 11
51° = 5x + 11°
x = 40°

Thus, the required value of the x and y is 40° and 51°.

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80 miles must be driven in a day to make the rental cost for company A a better deal than company B

according to the question

company A for $90 a day plus $0.30 per mile

company B charges $50 a day plus $0.80 per mile to rent the same truck

90+0.30m = 50 +0.80m

0.50 m= 40

m =40/0.50

m = 4000/50

m= 80 miles

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Answer:

The third number is 195-3x

Step-by-step explanation:

Given:

sum of three numbers, a, b, c is 180.

a=2x-11

b=x-4

c= ?

Solution:

a+b+c = 180

2x-11 + x-4 + c = 180

c = 180 - (2x-11) - (x-4)

= 180 -2x+11 - x+4

= 180 + 11 + 4 -2x -x

= 195 -3x

Answer:

D

Step-by-step explanation:

Karan swam and biked for a total of 1 hour and 45 minutes.

let's say 60=100 for a total of 100 equaling 1 hour.

Therefore, 100+45= 145

Answer:

Step-by-step explanation:

A bitmap is a digital image format that is made up of a grid of square colored dots called pixels.

Each pixel in the bitmap contains information about its color and position, which allows the computer to display the image on a screen or print it on paper. Bitmaps are commonly used for photographs, illustrations, and other complex images that require a high degree of detail and color accuracy.

However, because bitmaps store information for each individual pixel, they can be memory-intensive and may result in large file sizes. Additionally, resizing a bitmap can lead to a loss of quality, as the computer must either interpolate or discard pixels to adjust the image size.

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\(\huge\underline\mathtt\colorbox{cyan}{320}\)

Step-by-step explanation:

Answer:

X=80

Step-by-step explanation:

I suppose the graph will be like this:

Since isosceles trapezoid, red lines are parallel.

X+x+20= 180

2x+20=180

2x=160

X=80

Answer:

x=3, Adding and dividing. (Im not too sure how to answer that question, Are there some options that you learned in class?)

Step-by-step explanation:

4x-5=7

+5       +5

4x=12

/4      /4

x=3

The variable b as the subject of the formula is b = √2(p -c)/a

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

p = 1/2ab^2 + c

Subtract c from both sides of the equation

So, we have

1/2ab^2 = p - c

Multiply through by 2

ab^2 = 2(p -c)

Divide by a

b^2 = 2(p -c)/a

Take the square root of both sides

b = √2(p -c)/a

Hence, b as the subject of the formula is b = √2(p -c)/a

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Answer:

See below:

Step-by-step explanation:

Hello! We can find the slope by using the rise over run formula as show below:

\(\frac{y_{2}-{y_{1}} }{x_{2}-{x_{1}}}\)

If we plugin our values, which are (4,9) and (-8,5) we can use the 1st set of numbers as y2 and x2 and the second as y1 and x2

So we would get:

\(\frac{9-5}{4-(-8)}\)

Since we have two negatives. it becomes a positive.

Therefore our slope is

\(\frac{4}{12} =\frac{1}{3}\)

Which in words is down 1 right 3.

Good Luck On Your Test!!! Hope you ace it :D

Answer:

The product of b and c is positive.

Step-by-step explanation:

b is negative as its less than 0

c is > 0 and is thus positive

multiply these would be negative result

Answer:

The product of b and c is positive.

Step-by-step explanation:

had this question

(1) The Lieutenant commander data should order 20 chips,

(2) The most number of chips that he will ever have to order is 20 chips.

To determine the number of chips Lieutenant Commander Data should order and maximum amount he will ever have to order, we use inventory control formula for a continuous review system with normal distribution demand:

Part (1) : To calculate the number of chips he should order, we find safety stock, which is buffer-stock kept to meet unexpected demand. The safety stock can be determined using formula,

Safety stock = Z × σ × √L,

Where : Z = Z-score representing desired service probability (in this case, 98% corresponds to a Z-score of approximately 2.33)

σ = Standard-deviation of daily demand (given as 3 chips per day)

L = Lead time (in this case, 2 days)

Safety stock = 2.33 × 3 × √2 ≈ 9.84

To calculate "order-quantity", we consider expected demand during  lead time and the safety stock:

Expected demand during lead time = (Average daily demand × Lead time) + Safety stock,

Expected demand during lead time = (5 × 2) + 9.84 ≈ 19.84

So, Commander Data should order 20 chips,

Part (2) : The maximum amount he will ever have to order is determined by sum of safety-stock and maximum expected demand during lead time:

Maximum order quantity = Safety stock + (Average daily demand × Lead time)

Maximum order quantity = 9.84 + (5 × 2) = 9.84 + 10 = 19.84

Therefore, the maximum amount he will ever have to order is 20 chips.

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The measure of angle TDC in the right triangle formed by segment CD is 31 degrees.

A line tangent to a circle creates a right angle between the radius and the tangent line.

Hence, triangle TCD is a right triangle with one of it's interior angle at 90 degrees.

From the diagram:

Angle CTD = ( 7x + 3 )

Angle TDC = ( 3x + 7 )

Angle TCD = 90 degrees

Since the sum of the interior angles of a traingle equals 180 degrees.

( 7x + 3 ) + ( 3x + 7 ) + 90 = 180

Solve for x:

7x + 3x + 3 + 7 + 90 = 180

10x + 100 = 180

10x = 180 - 100

10x = 80

x = 80/10

x = 8

Now, we can find angle TDC:

Angle TDC = ( 3x + 7 )

Plug in x = 8

Angle TDC = 3(8) + 7

Angle TDC = 24 + 7

Angle TDC = 31°

Therefore, angle TDC measure 31 degrees.

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Answer: The answer is 8x - 5y = -7

Hope this helps! :)

Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

2x=60

x=30

Answer:

D

Step-by-step explanation:

7 1/2 = 15/2 or 30/4

30/4 ÷ 3/4 = 10

Answer:

X=84.6

Step-by-step explanation:

732=9x-30

You subtract 30 from both sides which leaves us with

762=9x

Then you divide both sides by 9

So x=84.66

Answer:

84.66

Step-by-step explanation:

732=9x-30

732+30=9x

(732+30)/9= x

x = 762/9 = 84.667

Answer:

0.5<

Step-by-step explanation:

5/10<5+65/10+100<65/100

=5/10<5+65/10+100<65/100

=1/2<1+13/2+20<13/20

=1/2<14/22<