If you are buying at item at a store for a price of $77, and there is a 7.5% tax added on
top, what would be the total amount due at the register, to the nearest cent?

So first of all let's use t for the minutes he has played and E(t) for the experience points got up until t minutes. We are being told that by grinding for 10 minutes he gets 750 points and that we must assume linear growth. This means that in order to now the experience point gain per minute we just need to find:

We are going to use this value for making the equations.

In part A we must find a recursive equation. A recursive equation uses the value of the same equation but at an earlier time. This means something like this:

Where E(t-1) are the xp points gained up until 1 minute before minute t. Here we just need to add the amount of xp he gains in a minute that is 75. Then the recursive equation for part A is:

For part B we need to find an explicit equation. Since the xp gain follows a linear growth then this equation has the following form:

Where m is the amount of xp gained per minute and b is the base value of xp he had when he started grinding. Using the data from the question and the first calculations we made we have m=75 and b=6000 which means that the explicit equation for part B is:

In part C we have to calculate how many xp points he'll have after 32 minutes. This basically means taking t=32 in the equation above:

So after grinding for 32 minutes he will have 8400 experience points.

So for part D we know that he has gained 8000 xp points and we need to find how many minutes it took him to reach that amount. In this case we do not know the value of t, we have to calculate it from the following equation:

So we have:

So it took him 26.67 minutes to gain 8000 experience points.

The creation of an isosceles triangle quilt can only be achieved through a number of discreet steps:

Initially, select the bespoke size of both individual triangles and the full-scale length and breadth of the snug.

Subsequently, draft a lattice on either a sheet of paper or digital drafting software, with each square serving as a single triangular unit.

Commencing your task from the bottom row, resonate along the equidistant bases while drawing with precision to ensure an immaculate line-up.

Then, for the succeeding section, diverge by slightly altering the position of the point of each triangle in accordance with the intermediary gap that exists between two triangles below it.

Continue repeating this pattern while constructing rows, enveloping further ground until fully complete coverage has been ensured.

Last but not least, rigorously maintain accuracy by exploiting straight edges strategically laid beside precise measuring instruments.

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Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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38 and 54

if you add these numbers you will get 92 and if you subtract them you will get 16

Answer:

I really hope this helps :), 68

Answer:

YOU HAVE TO USE THE VECTORS AS WELL MATRIX TO GET THE SOLUTION OF THIS QUESTION

The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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Answer:

25

0

Step-by-step explanation:

\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

          what is the value of 7x-3y-1 for x = -2 and y = 4?

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

Replace x with -2 and y with 4:-

\(\sf{7(-2)-3(4)-1}\)

On simplification,

\(\sf{-14-12-1}\)

On further simplification,

\(\sf{-27}\)

\(\rule{300}{1}\)

From the graph

the curve start from a point close to 40

Hence at the beginning of the year January, the teperature was 38 degree

Answer:

30 cats

Step-by-step explanation:

When their are 15 dog there will be 30 cats

The statements that are true ; b. On day 3, Sara will have biked 7.2 more miles than Aaron. d. Aaron bikes faster than Sara.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that equation y = 2.4x represents the number of miles, y, biked by Aaron in x days.

0.5 10

1 10

1.5 10

2 10

2.5 10

Since x = 2 then

y= 2.4 (2)

y = 4.8

The statements that are truly based on the equation and the table above;

b. On day 3, Sara will have biked 7.2 more miles than Aaron.

d. Aaron bikes faster than Sara.

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Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

Answer:

A - C(-3, -2), D(1, -2)

Step-by-step explanation:

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

Answer:

Step-by-step explanation:

All the sides of triangle 1 have a length of 3 inches. What is the length of each side of triangle 2

The inequality represents the number of minutes m need to practice on seventh day is 300 + m ≥ 315.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given that, the average time of practice is at least 45 minutes per day.

After 7 days, he need to practice at least (45 × 7) = 315 minutes.

On the first 6 days he practice 300 days.

Assume that the number of minutes m he needs to practice on the seventh day.

Total number of minutes that he practice in a week is 300 + m minutes.

300 + m must be greater than or equal to 315.

Therefore, 300 + m ≥ 315.

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Answer:

28 because 116÷4=29 so she traveled 28 miles per hour

Answer:

Sarah drove 29 miles per hour.

Step-by-step explanation:

116 divided by 4 is 29.

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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Answer:

y-10

Step-by-step explanation:

When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).

Answer:

Maliks fruit salad will taste more melony

Step-by-step explanation:

To determine whose fruit salad will taste more "melony," we can calculate the percentage of melon in each fruit salad for Aisha and Malik.

For Aisha's fruit salad:

Total cups of fruit = 4 cups of melon + 1 cup of apple = 5 cups

Percentage of melon = (4 cups of melon / 5 cups of total fruit) x 100%

For Malik's fruit salad:

Total cups of fruit = 13 cups of melon + 3 cups of apple = 16 cups

Percentage of melon = (13 cups of melon / 16 cups of total fruit) x 100%

Now we can calculate the percentages:

Aisha's percentage of melon:

(4 cups of melon / 5 cups of total fruit) x 100% = 80%

Malik's percentage of melon:

(13 cups of melon / 16 cups of total fruit) x 100% ≈ 81.25%

Based on the calculations, Malik's fruit salad has a higher percentage of melon (81.25%) compared to Aisha's fruit salad (80%). Therefore, Malik's fruit salad is likely to taste more "melony" compared to Aisha's fruit salad.

The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

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The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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Answer:

6x + 3

Step-by-step explanation:

8x - 2x + 7 -4

Look at the attached picture

Hope it will be helpful to you..

Have a great day..

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Answer:

x = 125, Angles are 120°, 100°, 120°, 135°, 120°, 125°

Step-by-step explanation:

\(120+100+120+x+10+120+x=720 \\ \\ 470+2x=720 \\ \\ 2x=250 \\ \\ x=125 \\ \\ \implies x+10=135\)

Answer:

1 / 10000

Step-by-step explanation:

10^3 / 10^7

apply exponent rule: x^a / x^b = x^(a-b)

10^3 / 10^7 where a = 3 and b = 7

10^(3 - 7) = 10^(-4)

apply exponent rule: a^-b = 1 / a^b

1 / 10^(4)

10^4 = 10000

1 / 10000

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Answer:

10^-4

Step-by-step explanation:

In division of powers (when the numbers are the same), you subtract both the powers. In this case, it would be 3 - 7 = -4, resulting in a power of -4

Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D

In the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.

Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.

In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.

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