Find the first 3 terms of the arithmetic sequence described:
a₁ = 7, d = 8

Answer:

(4p x 4) x 2 = 16p x 2 = 32p

Step-by-step explanation:

The required simplification is (4p⁴)² = 256p⁸.

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given expression is  as below,

(4p⁴)²

Without using the exponents the given expression can be simplified as follows,

The power to any number simply means that the number will be multiplied to itself as many number of times. this basic rule is used to obtain result as,

(4p⁴)²

= (4p × 4p × 4p × 4p)²

= (16p⁴)²

= 16p⁴ × 16p⁴

= 256 × (p × p × p × p × p × p × p × p)

= 256p⁸

Hence, the given expression can be simplified as  256p⁸.

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The transaction price for Ayayai's product and the customer loyalty points are $92500 and 37000 points respectively.

Based on the information provided about Ayayai inc., the transaction price for their product and the customer loyalty points would be allocated as follows:

                                            SSP            PA              TTP                    AA____

Product purchases       $370,000       80%         $370,000         $296,000

Loyalty points               $92,500*       20%         $370,000         $74,000__

                                      $462,500                                                 $370,000

*37,000 × 2.50 = $92,500

Note:

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Answer: 8 pieces

Step-by-step explanation:

- if there are 24 pieces of sushi in 6 packages then 24/6 = 4 so there’s 4 pieces of sushi in each package

- since there’s 4 pieces of sushi in each pack just do 4 x 2 = 8

- so there’s 8 pieces of sushi in 2 packages

hope this helps :)

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

Answer:

3 years: $27691.30

7 years: $23359.70

Step-by-step explanation:

3.5% of 30,940 = 1082.9

for each year there is interest, we multiply it by that amount of years.

equation: 1082.9x

3 years: 3248.7  

7 years: 7580.3

since interest is subtracted, we will subtract the multiplied interests from above.

equation: 30940 - 1082.9x = answer

3 years: $27691.3

7 years: $23359.7

Answer:

Step-by-step explanation:

Answer:

\(3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}\)

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

\(Gray = 11 * \frac{1}{3}\)

\(Gray = \frac{11}{3}\)

Express as a mixed number

\(Gray = 3\frac{2}{3}\)

The black rectangle covers 8 partitions

So:

\(Black= 8 * \frac{1}{3}\)

\(Black= \frac{8}{3}\)

Express as a mixed number

\(Black= 2\frac{2}{3}\)

So, the model is:

\(Gray + Black = Total\)

Where Total is the point where the black rectangle stops

\(3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}\)

Answer:

She has been there for 8 months

Step-by-step explanation:

Add 40 and keep adding $25

until you get to $240 and then count how many times you added 25 and you should get the answer

The equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

The equation of a circle with center (a,b) and radius r is given by the equation:

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

Using the given values, the equation of the circle with center (1/2, 0) and radius 2 is:

(x - 1/2)^2 + (y - 0)^2 = 2^2

Expanding and simplifying, we get:

(x - 1/2)^2 + y^2 = 4 - 1/4

Therefore, the equation of the circle is:

(x - 1/2)^2 + y^2 = 15/4

So, the equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

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Answer:

6:5

Step-by-step explanation:

This is because its asking for clocks (6) to tables (5).

Hope this helps!

Answer:

9/20

Step-by-step explanation:

0.45 = 45/100

45/100=9/20 (divide numerator and denominator by 5)

Answer:

C. class number and painting preference

Step-by-step explanation:

just got done with the quiz

Answer:

7 cents per gallon if his tank was completely empty upon filling

Step-by-step explanation:

55.23/21=2.63 per gallon at original gas station

2.63-2.56=.07 per gallon saved

Answer:

He would have saved 7 cents a gallon.

Step-by-step explanation:

The gas he filled up on costed 2.63 a gallon

The gas across the street costed 2.56 per gallon

He spent 55.23 on gas, if he filled up at the station across the street he would have paid 53.76.

Answer:

3 to 12

Step-by-step explanation:

3 months (January, June, July) and 12 monthes

Answer: the answer is 3 to 12

Step-by-step explanation: hope this will help

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer: decrece 3 increacs 3

Step-by-step explanation:

Each student should work for 7 hours on the project.

Given, the equation the quantity x plus 56 end quantity over 3 equals 5 times x models the workload of a class project,

where x is the number of hours each student must contribute.

Now, according to question,

56 - 3x = 5x

56 = 5x + 3x

8x = 56

x = 7

So, x = 7 hours

Hence, each student should work for 7 hours on the project.

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Answer:

4 hours

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = 14/3

Decimal Form:

x = 4.6

Mixed Number Form:

x = 4 2/3

Therefore, 4 hours is how much the students work on the project.

Question? i cant see again friend

Answer:

x=4

Step-by-step explanation:

Triangle MLK is a equilateral triangle, which means that all the sides are the same. Since we are given one side, we can assuming that side MK is also 5. Those MK and MJ have to be the same. Which mean that

x+1 =5, thus x = 4

In your given numbers, 270 represents the overall FICO score, and 167.85 may be the weighted value of Credit Mix (10% of the score).

A FICO score is a credit score that helps lenders assess an individual's creditworthiness. It's calculated using five factors, one of which is Credit Mix, accounting for 10% of the total score.

Credit Mix refers to the diversity of credit accounts, including credit cards, mortgages, auto loans, and other types of credit. A more varied credit mix can positively impact your FICO score, as it demonstrates your ability to manage different types of credit responsibly.

To improve your FICO score, focus on maintaining a diverse credit mix, timely payments, low credit utilization, and limiting new credit inquiries.

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Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

using the rule of logarithms

log a - log b = log (\(\frac{a}{b}\) ) , then

log (\(\frac{15}{7}\) ) = log 15 - log 7

Answer:

12/5 or 2 2/5

Step-by-step explanation:

Multiply by the reciprocal then reduce the numbers with the greatest common factor, leaving 12/25*5 then multiply that and get your answer

Step-by-step explanation:

4(x-6)=2

4x-24=2

4x=2+24

4x=28

x=7

We can answer this question as follows:

Case A:

Segment AB is congruent to segment DC. That is always true. The opposite sides of a parallelogram are congruent.

Case B:

Segment BC is congruent to segment AD. That is always true. The opposite sides of a parallelogram are congruent.

Case C:

This is NOT always true. What is true is that consecutive pairs of angles of a parallelogram are supplementary. For example,

Case D:

AB+BC=AD+DC. This is always true. The diagonal that goes from vertex A to vertex C divides the parallelogram into two congruent triangles. Therefore, this statement is always true.

Therefore, the option that is NOT always true is Angle A and angle C are supplementary (add to 180) (option C).

If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Answer:

11(x+3) is correct answer. Please Mark it as brainlist answer.

Step-by-step explanation:

let's say the unknown number be x

Simplify it:

11(x+3)

It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units

Answer:

(1)5 - 0.5(5) = 5 - 2.5 =======2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

\((a)b-0.5b\)

Substitute 'a' and 'b' for the appropriate values:

\((1)5-0.5(5)\)

Solve:

\((1)5-0.5(5)\\\\5-2.5\\\\\boxed{2.5}\)

Hope this helps.

Answer:

In the lower isosceles triangle diagram, angle a = 40     angle  c = 40    angle b = 100  angle e = 140

Step-by-step explanation:

By definition, the angles of a triangle must add up to 180.  the lower angles opposite the congruent lines BE and BD must be congruent by definition of an isosceles triangle.  therefore we can determine the angle b as follows... angle b = 180 - (40 x 2) = 180 - 80 = 100

Supplementary  angles add up to 180 therefore, angle e = 180 - 40 = 140

Corresponding angles on parallel lines disected by a third line are congruent.  Therefore, angle a = 40.  As angle c is congruent to angle a, angle c must also = 40.