Which of the following entries records the receipt of a utility bill from the water company? *A. debit Utilities Expense, credit utilities payableB. debit Accounts Payable, credit Utilities PayableC. debit Utilities Payable, credit Accounts ReceivableD. debit Accounts Payable, credit Cash

Answer:

Factor by grouping, (5n+4)(n+3), or alternatively, (n+3)(5n+4)

Answer:

(n +3)(5n + 4)

Step-by-step explanation:

5n^2 + 19n + 12

= 5n^2 + 15n + 4n + 12

= 5n(n + 3) + 4(n + 3)

= (n +3)(5n + 4)

Hence Factorized.

Answer:

The radius of the circle is 3, so

Circumference = 2(3)π = 6π = 18.84

Area = π(3^2) = 9π = 28.26

The values are given in the solution.

Given are right triangles we need to find the missing sides of the triangles,

Here in the all the parts we will use the Pythagoras theorem,

Formula =

hypotenuse² = √leg² + leg²

1) 5² = x² + 3²

x = √25-9

x = √16

x = 4

2) x² = 12² + 5²

x = √144+25

x = √169

x = 13

3) 10² = 8² + x²

x = √100-64

x = √36

x = 6

4) 15² = 12² + x²

x = √225-144

x = √81

x = 9

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The original amount of the loan of Margo is $1560.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the original amount is x

Given that,

She has already paid $315 and still owes them $1245.

So,

x - 315 = 1245

x = 1560.

Hence "The original amount of the loan of Margo is $1560".

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Reason:

There's a 30% chance they buy the popcorn, which means there's a 70% chance they don't buy it.

100% - 30% = 70%

Then convert the 70% to 0.7

Answer:

0.7 or 70%

Step-by-step explanation:

0.3 * 100 = 30%

100%-30% = 70%

You either buy or not. If 30% you don't then 70% you do.

The statement that is true is:

Statements 1 and 3

Let's examine each statement individually:

If n is a multiple of 8, then n is a multiple of 4. This statement is true because every number that is divisible by 8 is also divisible by 4. Since 8 is a multiple of 4, any multiple of 8 will have factors of both 8 and 4. If n is a multiple of 18, then n is a multiple of 2.

This statement is also true. Any number that is divisible by 18 is also divisible by 2 because 18 contains a factor of 2. Every multiple of 18 will have at least one factor of 2.

Statement 2 is not true. If n is a multiple of 18, then n is a multiple of 9.

This statement is false because there are numbers that are multiples of 18 but not multiples of 9. For example, 18 itself is a multiple of 18 but not a multiple of 9, as 18 divided by 9 is equal to 2.

Therefore, the correct answer is c) Statements 1 and 3.

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Answer:

B.The expanded form is (Two-fifths) (two-fifths) (two-fifths).

E.Two-fifths)cubed = StartFraction 8 Over 125 EndFraction

Answer:

b and e :D

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

g(-3)=3×3 -4                                                              

       =9-4

       =5

Answer: 5

Step-by-step explanation:

g(x)=x²-4

g(-3)=(-3)²-4

g(-3)=9-4

g(-3)=5

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

1/2 for the whole pineapple

1/4 for the half pineapple

Step-by-step explanation:

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal.

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make.

To determine which box holds more cereal, we need to calculate the volume of each box.

The volume of a rectangular box is given by the formula:

Volume = Length × Width × Height

Let's calculate the volumes for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Volume = 8 cm × 3 cm × 11 cm = 264 cm³

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Volume = 10 cm × 10 cm × 3 cm = 300 cm³

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal because it has a larger volume of 300 cm³ compared to the original box with a volume of 264 cm³.

To determine which box requires more material to make, we need to calculate the surface area of each box.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 × (Length × Width + Length × Height + Width × Height)

Let's calculate the surface areas for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Surface Area = 2 × (8 cm × 3 cm + 8 cm × 11 cm + 3 cm × 11 cm) = 374 cm²

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Surface Area = 2 × (10 cm × 10 cm + 10 cm × 3 cm + 10 cm × 3 cm) = 380 cm²

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make because it has a larger surface area of 380 cm² compared to the original box with a surface area of 374 cm².

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The equation of the line tangent to the curve at the point corresponding to the given value of t.

x = t²-23 and y = t³ + t, at t = 5 is

38x - 5y + 574 = 0

Given, a curve with the points represented by

x = t²-23 and y = t³ + t, at t = 5

we have to find an equation of the line tangent to the curve at the given point on the curve.

so, the given point is (x , y) = (5² - 23 , 5³ + 5)

(x , y) = (2 , 130)

Now, the slope of the curve at that point be,

dy/dx = (3t² + 1)/(2t)

dy/dx = 76/10

Now, on using the slope-intercept form, we get

(y - 130)/(x - 2) = 38/5

5(y - 130) = 38(x - 2)

5y - 650 = 38x - 76

38x - 5y + 574 = 0

Hence, the equation of the line tangent to the curve at the point corresponding to the given value of t.

x = t²-23 and y = t³ + t, at t = 5 is

38x - 5y + 574 = 0

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A sample size of at least 960,400 similarity scores to ensure reasonable accuracy with greater-than-95% probability. Since we have 35,994,000 non-match similarity scores, this sample size is easily achievable.

Assuming that the similarity scores are uniformly distributed, we can use the binomial distribution to calculate the probability of obtaining a certain number of correct matches. Let's assume that we want to achieve a margin of error of 1% and a confidence level of 95%. This means that we want to be 95% confident that the true proportion of matches is within 1% of our estimate.

Using the formula for the sample size of a binomial distribution, n = (Z^2 * p * (1-p)) / (E^2), where Z is the critical value from the standard normal distribution (1.96 for a confidence level of 95%), p is the expected proportion of matches (unknown), and E is the margin of error (0.01), we can solve for the sample size:

n = (1.96^2 * 0.5 * 0.5) / 0.01^2 ≈ 960,400

Therefore, we would need a sample size of at least 960,400 similarity scores to ensure reasonable accuracy with greater-than-95% probability. Since we have 35,994,000 non-match similarity scores, this sample size is easily achievable.

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A. The computed value of F is approximately 7.58, given the following ANOVA table for three treatments each with six observations, we need to find the computed value of F.

To calculate the F-value, follow these steps:

1. Identify the given values in the ANOVA table:
  - Treatment sum of squares: 1,134
  - Error sum of squares: 1,122
  - Total sum of squares: 2,256
  - Number of treatments: 3
  - Number of observations per treatment: 6

2. Calculate the degrees of freedom (df) for treatment and error:
  - Treatment df = (number of treatments - 1) = (3 - 1) = 2
  - Error df = (number of treatments * (number of observations per treatment - 1)) = (3 * (6 - 1)) = 15

3. Calculate the mean square for treatment and error:
  - Mean square treatment = (treatment sum of squares) / (treatment df) = 1,134 / 2 = 567
  - Mean square error = (error sum of squares) / (error df) = 1,122 / 15 ≈ 74.8

4. Calculate the F-value:
  - F-value = (mean square treatment) / (mean square error) = 567 / 74.8 ≈ 7.58

The computed value of F is approximately 7.58, which is not among the provided multiple-choice options of 8 or 7.22.

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Complete Question:

given the following Anova table for three treatments each with six observations: source sum of squares df mean square treatment 1,134 error 1,122 total 2,256 what is the computed value of f ?

A. 7.48

B. 7.84

C. 8.84

D. 8.48

Answer:

the answer is 135 pounds

Answer:

180 - 25% = 135

Hope this helps

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Step 1 :-

Step 2 :-

Hope it helps!

Follow me! ;)

Answer:

C) \(y=-(x-5)(x-3)\)

Step-by-step explanation:

Expand

\(y=-(x-4)^2+1\\\\y=-(x^2-8x+16)+1\\\\y=-x^2+8x-16+1\\\\y=-x^2+8x-15\)

Factor

\(y=-x^2+8x-15\\\\y=-(x^2-8x+15)\\\\y=-(x-5)(x-3)\)

This tells us that the x-intercepts of the function are x=5 and x=3 when y=0.

Therefore, C is the correct answer

Answer:

7, though I don't know if it's 100% correct. I tried to help.

Step-by-step explanation:

f(x) = 4x^2 + 3x interval [1,5]

f(1) = 4(1)^2 + 3(1)

f(1) = 4 + 3

f(1) = 7

Answer:

\(\boxed {\boxed {\sf 27}}\)

Step-by-step explanation:

The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.

\(\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}\)

Let's assign 1 to x₁ and 5 to x₂.

\(\frac {f(5)-f(1)}{5-1}\)

We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.

f(x)= 4x² + 3x

Now we can find the average rate of change. We know the outputs and we know the inputs.

\(\frac {f(5)-f(1)}{5-1}\)

\(\frac {115 -7}{5-1}\)

\(\frac {108}{4}\)

\(27\)

The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.

Answer:

I think it's the last one

Step-by-step explanation:

Answer:

it goes in once  the finished solution is 75/16 = 75/16

Step-by-step explanation:

Answer:

4 11/16

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 75 by 16 and keep only what is to the left of the decimal point:

75 / 16 = 4.6875 = 4

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

75 - (16 x 4) = 11

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 75/16 as a mixed number is:

4 11/16

Answer:

  a₄₅ = 13

Step-by-step explanation:

The n-th term of an arithmetic sequence with first term a₁ and common difference d is given by the formula ...

  aₙ = a₁ +d(n -1)

You want the 45th term where a₁ = 2 and d = 1/4. Putting these values into the formula gives ...

  a₄₅ = a₁ +d(n -1) = 2 +(1/4)(45 -1)

Evaluating this expression, we have ...

  a₄₅ = 2 +44/4 = 2 +11

  a₄₅ = 13

The 45th term of the sequence is 13.

The forty-fifth term of the sequence whose initial term a = \(2\) and common difference d = \(\frac{1}{4}\) is \(13\)

How to find the nth term of the Arithmetic series?

The nth term of the arithmetic series is find by \(Tn = a+(n-1)d\) where Tn is the nth term of the series a is called the initial number and is the common difference between two number. n is the number of term of that arithmetic series.

In the given series initial term a = \(2\) and common difference d = \(\frac{1}{4}\)

We have the find the forty-fifth term of the given series.

= \(Tn=a+(n-1)d\)

= \(Tn = 2+(45-1)\frac{1}{4}\)

= \(Tn=2+44\cdot\frac{1}{4}\)

= \(Tn = 2+11\)

= \(Tn = 13\)

So, the forty-fifth term of the sequence whose initial term a = \(2\) and common difference d = \(\frac{1}{4}\) is \(13\)

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PQ is the diameter so the midpoint of PQ is the center of the circle. if we suppose the center point of the circle called o then ;

\(o = \frac{pq}{2} \\ \)

\(pq = \sqrt{ { (- 10 - 6})^{2} + ({10 - ( - 2)})^{2} } \)

\(o = \frac{( -10 ,10) + (6 , - 2) }{2} \\ \)

\(o = \frac{( - 10 +6 ,10 - 2)}{2} \\ \)

\(o = ( \frac{ - 4}{2} , \frac{8}{2} ) \\ \)

\(o = ( - 2,4)\)

For the second step we need to find the radius of the circle which has the half the PQ distance measure, so we have to find the the PQ distance and divide it by 2 :

_____________________________________________

As u know the distance between 2 point is going to find by following formula :

\(pq = \sqrt{ {(x(p) - x(q)})^{2} + {(y(p) - y(q)})^{2} } \\ \)

\(pq = \sqrt{ ({ - 10 - 6})^{2} + ({10 - ( - 2)})^{2} } \)

\(pq = \sqrt{ ({ - 16})^{2} + ({12})^{2} } \)

\(pq = \sqrt{256 + 144} \)

\(pq = \sqrt{400} \)

\(pq = 20\)

Thus :

\(radius = \frac{pq}{2} \\ \)

\(radius = \frac{20}{2} \\ \)

\(radius = 10\)

_____________________________________________

Ok we're almost done cuz we have what we needed:

If we suppose that the first coordinate of the center is a and the second coordinate of the center is b and the radius shown by r then :

\( ({x -a})^{2} + ( {y - b})^{2} = {r}^{2} \)

Is the equation of the circle in the standar form thus :

\( ({x - ( - 2)})^{2} + ({y - 4})^{2} = {10}^{2} \\ \)

\( ({x + 2})^{2} + ({y - 4})^{2} = 100\)

As u can see option B is the correct answer.

And we're done ...

Answer:

4x^2 - 12x +9

Step-by-step explanation:

The figure is a square.

the area of a square is = side^2

area = (2x-3)^2 = 4x^2-12x +9

thanks to rule of the square of a binomial, we can skip this passage:

(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9

Answer:

4x²−12+9

Steps:

2x(2x−3)−3(2x−3)

4x²−6−3(2x−3)

4x²−6x−6x+9

4x²−12x+9

Solution:

Solve the system of equations to find the value of y.

        5x + 3y = 8

        2(5x + 3y = 8)

        10x + 6y = 16

Substitute the value of y into any equation to find the value of x.

Putting them in (x,y) form.

Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.

1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.

2. Calculate side BC using the Law of Cosines:

BC = (2(AB)(AC)cosB) + (AB)(AC)2

3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)

4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)

5. Determine BC =. (2095 - 1539.07)

6. Condense: BC = 556.93

7. Determine BC as 23.701 cm.

8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.

By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.

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Last month, a truck made 3 round trips to Albuquerque and some round trips to Las Vegas, then, 3a +yb miles he drove and trips he made to San Diego.

We could represent a round trip to Los Angeles with the variable : x

We could represent the number of miles in a round trip to Los Angeles with the variable : a

We could represent a round trip to San Diego with the variable : y

We could represent the number of miles in a round trip to San Diego with the variable : b

Therefore, the equation would be :

                              xa + yb

Since, Factoring in what we know, the example equation would be :

                              3a + yb

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Answer:

y= -1

Step-by-step explanation:

if the degree of the denominator is equal to the degree of the numerator, you divide the leading coefficient of the numerator by the leading coefficient of the denominator

so in this case:

-2/2 = -1

Answer:

Statistical, Not statistical, Not statistical

Step-by-step explanation:

. "How tall are each of the tallest buildings in New York City?" is a statistical question because it is asking for a range of values (heights) for multiple buildings, which can be measured and analyzed statistically.

. "What is the height of the Empire State Building?" is not a statistical question as it is asking for a specific value (height) of a single building, which can be answered directly without the need for statistical analysis.

. "How many people visit the Empire State Building each day?" is also not a statistical question because it is asking for a specific count (number of people) and does not involve statistical analysis or variation.

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Answer:

2.  43 degrees

3.  35 degrees

Step-by-step explanation:

Srr the attached worksheet.