What is the value of the remainder if 10x^4 – 6x^3 + 5x^2 – x + 1 is divided by x – 3?

Answer: point Q is located in (3,4)

Step-by-step explanation: the ratio of SQ:QT is 5:2, and for every two units (up two, right two) it is one ratio. go up two, right two five times that leads a ratio between 5:2.

Answer:

Sammy, after picking out her clothes, bringing them to the counter and ringing them up. owes in total: $49.78

Step-by-step explanation:

Final answer:

This answer explains how to calculate the total amount of money Sammy spent on T-shirts and jeans including sales tax.

Explanation:

To find out how much Sammy spent in total:

Calculate the total cost of the 3 T-shirts: $15.75 x 3 = $47.25

Calculate the total cost of the pairs of jeans: $28.79 x 2 = $57.58

Add the total costs of the T-shirts and jeans: $47.25 + $57.58 = $104.83

Add the sales tax to get the final amount: $104.83 + $5.24 = $110.07

Therefore, Sammy spent $110.07 in all.

Answer:

y=1 for [tex]y\leq 1[/tex]

Step-by-step explanation:

We can solve an inequality much like we solve an equation. We will use inverse operations to isolate y. If we need to divide by a negative then we will need to flip the inequality.

[tex]2y+9\leq 11\\2y+9-9\leq 11-9\\2y\leq 2\\\frac{2y}{2}\leq  \frac{2}{2} \\y\leq 1[/tex]

First, we moved 9 across the equal sign to combine it with 11 by subtracting by 9 from both sides.

Second, we divided both sides by 2.

[tex]y\leq 1[/tex] is the solution. All solutions equal to 1 and less than 1 will work.

Answer:

B) 538, 650

Step-by-step explanation:

Given:

Errors on tax returns filed manually  = 20%

Errors on tax returns filed electronically  = 0.05%

Tax return filled in each way = 2.7 million

Manual filing:

2,700,000 x 20% = 2,700,000*0.2 = 540,000

Electronic filing:

2,700,000 x 0.05% = 2, 700,000*0.0005 = 1,350

Error difference = 540,000 - 1,350 = 538,650

There will be 538,650 more erroneous tax returns filed manually than there are filed electronically.

Thank you.

The difference between manually filed return and the electronically filed return is [tex]\boxed{538650}[/tex]. Option (b) is correct.

Further Explanation:

Explanation:

The total tax return is 2.7 million.

The errors on the tax return for electronic filling are [tex]0.05\%.[/tex]

The errors on the tax return for manual filling are [tex]20\%.[/tex]

Number of errors in filing tax return manually can be calculated as follows,

[tex]\begin{aligned}{\text{Errors in manual filling}} &= 2700000 \times 20\%\\ &= 2700000 \times \frac{{20}}{{100}} \\&= 540000\\\end{alignd}[/tex]

Number of errors in filing tax return electronically can be calculated as follows,

[tex]\begin{aligned}{\text{Errors in electronically filling}} &= 2700000 \times 0.05\% \\&= 2700000 \times \frac{{0.05}}{{100}} \\&= 1350 \\\end{aligned}[/tex]

The difference in the errors can be calculated as follows,

[tex]\begin{aligned}{\text{Difference}} &= 540000 - 1350 \\&= 538650 \\\end{aligned}[/tex]

The difference between manually filed return and the electronically filed return is [tex]\boxed{538650}[/tex]. Option (b) is correct.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Tax and Returns

Keywords: Tax, returns, filed, tax return, 20%, chance, errors, electronically, 0.05%, containing errors, chance, same, 2.7 million, each way, manually, manually filed, erroneous, 270575, income tax, salary, tax on salary.

Answer:

10200

Step-by-step explanation:

The population in 1999 was 10200.

Given is that the population of at a town has grown 2% each year. In 1998, the population of the town was about 10,000 people.

Let the population be in 1999 be {x}. Then, we can write -

{x} = 10000 + {2% of 10000}

{x} = 10000 + {2/100 x 10000}

{x} = 10000 + 200

{x} = 10200

Therefore, the population in 1999 was 10200.

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Answer:

16.3 hours.

Step-by-step explanation:

"Decays exponentially at a rate of 11% per hour" translates into

(1 - 0.11)^h, where h is the number of hours during which the drug decays.

The negative sign comes from "decay."

The complete formula applicable here is

d(h) = (100 mg)(1 - 0.11)^h, where h is the number of hours.  

We want to know how many hours it will be until all but 15 mg remain.  The appropriate formula for this is

15 mg = (100 mg)()^h.  Dividing both sides by 100 mg, we get:

 15 mg

------------- = 0.89^h, or 0.15 = 1.11^h

100 mg

Apply properties of logs to solve this.  Take the natural log of both sides of the above equation.  We get:

ln 0.15 = h(ln 0.89).  Dividing both sides by ln 0.89, we get:

h = 16.3

The original 100 mg dosage would decay to 15 mg after 16.3 hours.

36?

Bc if you divied 130/5 (girls) you get 36? Im sorry this may not be right, I'm not for sure :P

To calculate a new salary after a pay increase, multiply the current salary by the percentage increase and add it to the original salary. In this case, a 6% increase on a $62,900 salary results in a new annual salary of $66,674.

The subject of this question is determining the new salary after a pay increase, which is a common problem in mathematics related to percentages. To calculate the new salary after a 6% pay increase to a current salary of $62,900, you multiply the current salary by the percentage increase in decimal form, which is 0.06.

Step-by-Step Calculation

Determine the increase amount by multiplying the current salary by the percentage increase: $62,900 × 0.06 = $3,774.

Add the increase to the current salary to get the new salary: $62,900 + $3,774 = $66,674.

The new annual salary after a 6% increase will therefore be $66,674.

To generalize, the formula to calculate the percentage change or growth rate is given by:

Percentage change = (Change in quantity / Original Quantity) × 100

For example, a $2 per hour raise on a $10 per hour job represents

Percentage change = ($2 / $10) × 100 = 20%

QUESTION 1

The given inequality is

[tex]|m|-2>0[/tex]

We group like terms to get,

[tex]|m|>2[/tex]

This implies that,

[tex]-m>2[/tex] or [tex]m>2[/tex].

We simplify the inequality to get,

[tex]m<-2[/tex] or [tex]m>2[/tex].

We can write this interval notation to get,

[tex](-\infty,-2)\cup (2,+\infty)[/tex].

QUESTION 2

[tex]|x-4|-3\:>\:5[/tex].

We group like terms to get,

[tex]|x-4|\:>\:5+3[/tex].

[tex]|x-4|\:>\:8[/tex]

We split the absolute value sign to get,

[tex]-(x-4)\:>\:8[/tex] or [tex]x-4\:>\:8[/tex]

This implies that,

[tex]x-4\:<\:-8[/tex] or [tex]x-4\:>\:8[/tex]

[tex]x\:<\:-8+4[/tex] or [tex]x\:>\:8+4[/tex]

[tex]x\:<\:-4[/tex] or [tex]x\:>\:12[/tex]

We can write this interval notation to get,

[tex](-\infty,-4)\cup (12,+\infty)[/tex].

QUESTION 3

The given inequality is

[tex]|6+9x|\leq 24[/tex]

We split the absolute value sign to obtain,

[tex]-(6+9x)\leq 24[/tex] or [tex](6+9x)\leq 24[/tex]

This simplifies to

[tex]6+9x\ge -24[/tex] and [tex]6+9x\leq 24[/tex]

[tex]9x\ge -24-6[/tex] and [tex]9x\leq 24-6[/tex]

[tex]9x\ge -30[/tex] and [tex]9x\leq 18[/tex]

[tex]x\ge -\frac{10}{3}[/tex] and [tex]x\leq 2[/tex]

[tex]-\frac{10}{3}\leq x\leq2[/tex]

We write this in interval form  to get,

[tex][-\frac{10}{3},2][/tex]

QUESTION 4

The given inequality is

[tex]|1-5a|>29[/tex]

We split the absolute value sign to get,

[tex]-(1-5a)>29[/tex] or [tex]1-5a>29[/tex]

This simplifies to,

[tex]1-5a\:<\:-29[/tex] or [tex]1-5a\:>\:29[/tex]

This implies that,

[tex]-5a\:<\:-29-1[/tex] or [tex]-5a\:>\:29-1[/tex]

[tex]-5a\:<\:-30[/tex] or [tex]-5a\:>\:28[/tex]

[tex]a\:>\:6[/tex] or [tex]a\:<\:-\frac{28}{5}[/tex]

We write this in interval notation to get,

[tex](-\infty,-\frac{28}{5})\cup (6,+\infty)[/tex]

Answer:

The recursive formula to model Kendyl's progress is:

Fourth option: an=an-1 + 2, a1=8

Step-by-step explanation:

She currently has the first eight bars memorized: The first value is 8:

a1=8

She plans to memorize two more bars everyday until she has the whole piece memorized:

The number of bars memorized is two more than the last day:

an=an-1 + 2

Then, the recursive formula is:

an=an-1 + 2, a1=8

Answer:

The correct choice is D hope that helps

Answer:

To find the perimeter, just add up the lengths of the each side.

AB = 13 units

BC = 12 units

CA = 5 units

P = 13 + 12 + 5 = 30 units

Answer:

if that is all it says you can do simple cross multiplication

Step-by-step explanation:

18*3/2=x

x will give you the nre number. If you dont know how to do that math go to desmos and type it in. the answer should be 27 if i did it correctly in my head but please check my work.

A student helping a student

The new pentagon has a perimeter of 27 centimeters.

To find the perimeter of a regular pentagon, we multiply the length of one side by the number of sides. In this case, the perimeter is 18 centimeters, so each side of the pentagon is 18/5 = 3.6 centimeters long.

When this pentagon is dilated by a scale factor of 3/2, each side of the new pentagon will be 3/2 x 3.6 = 5.4 centimeters long.

Therefore, the new pentagon has a perimeter of 5.4 x 5 = 27 centimeters.

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Answer:

24 dollars

Step-by-step explanation:

Linda spends $24 for two items that bought from the store.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

Cost price of one time = $12.

Also, number of items that Linda bought = 2.

To find the total amount that Linda spends.

Use mathematical operations,

cost of 1 item = $12

Cost of 2 items = 12 x 2 = 24.

Hence, Linda spends $24 for 2 items.

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recall that to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

[tex]\bf \stackrel{f(x)}{y}=2x\implies \stackrel{\textit{switcheroo}}{x=2y}\implies \cfrac{x}{2}=y\implies \cfrac{1}{2}x=\stackrel{f^{-1}(x)}{y}[/tex]

Answer:

12.5%

Step-by-step explanation:

sum the parts of the ratio 1 + 3 + 4 = 8 parts

8 parts represents 100%, hence

1 part = [tex]\frac{100}{8}[/tex] = 12.5% ← Andy's percentage of the total

Andy Taylor's share in the ratio of 1:3:4 results in him receiving 12.5% of the total team payment.

The question is about the sharing of a total team payment between Andy Taylor and Ben in the ratio of 1:3:4. To find out what percentage Andy receives, we first need to establish the total parts in the ratio. The ratio 1:3:4 sums up to 8 parts in total. Andy's share is represented by 1 part out of these 8. To find the percentage, we divide Andy's 1 part by the total 8 parts, multiply by 100, giving us 12.5%. This means that Andy receives 12.5% of the total team payment.

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Answer:

If this is from TTM the answer is 10 cars.

Step-by-step explanation:

Answer:

8  1/4

Step-by-step explanation:

Answer:

The percent error of Jocelyn's estimate is 2.14 .

Step-by-step explanation:

Formula

[tex]Percentage\ error = \frac{Error\times 100}{exact\ value}[/tex]

Where

[tex]error = \left | approx\ value - exact\ value \right |[/tex]

As given

Jocelyn estimates that a price of wood measures 5.5 cm.

If it actually measures 5.62 cm.

approx value =  5.5 cm

exact value = 5.62 cm

Put in the error formula

[tex]error = \left | 5.5 - 5.62 \right |[/tex]

[tex]error = \left | -0.12\right |[/tex]

error = 0.12

Put in the formula

[tex]Percentage\ error = \frac{0.12\times 100}{5.62}[/tex]

[tex]Percentage\ error = \frac{12}{5.62}[/tex]

Percentage error = 2.14 (Approx)

Therefore  the percent error of Jocelyn's estimate is 2.14 .

Answer:

The no. of adult's tickets sold is 25.

The no. of adult's tickets sold is 247

Step-by-step explanation:

Given :

Tickets for a basketball game cost $2 for students and $5 for adults.

The number of students was 3 less than 10 times the number of adults.

The total amount of money from ticket sales was $619.

To Find : No. of each ticket were sold

Solution :

Let x be the no. of the student's tickets sold

Let y be the no. of adult's tickets sold

Since we are given that The number of students was 3 less than 10 times the number of adults.

⇒ x = 10y -3 --(A)

Now cost of 1 student's ticket is $2

Thus, cost of x student's ticket is $2x

Now cost of 1 adult's ticket is $5

Thus,cost of y adult's ticket is $5y

Since we are given that the total amount of money from ticket sales was $619.

⇒2x +5y =619 ---(B)

Solving equation A and B by substitution method :

putting value of x from (A) in (B)

We get :

⇒2( 10y -3) +5y =619

⇒20y-6+5y= 619

⇒25y = 625

⇒y = 625/25

⇒y=25

Thus,  the no. of adult's tickets sold is 25.

Putting value of y in equation A to get value of x .

⇒x = 10(25) -3

⇒x = 247

Thus the no. of adult's tickets sold is 247

c) definition of midpoint

f) definition of congruency

g) property of rectangle (opposite sides are congruent)

h) SAS

i) CPCTC

Answer:

The numbers are 11 and 7

Step-by-step explanation:

To find these, use the statements to create equations in standard form.

3x + y = 40

x - y = 4

Now that we have these two, we can add them together and get the y's to cancel out.

3x + y = 40

x - y = 4

-------------------

4x = 44

x = 11

Now that we have the first number as 11, we can solve for y using either equation.

x - y = 4

11 - y = 4

-y = -7

y = 7

Answer:

[tex]\ y\geq 5\cdot x\\x+y\geq 50\\y\leq25\\x\leq200\\y\geq0\\x\geq0[/tex]

Step-by-step explanation:

STEP 1 : First we draw the graph for [tex]y\geq 5\cdot x[/tex] by letting [tex]y=5x[/tex]

it is denoted by red colour

STEP 2 : Now we draw the graph for [tex]x+y\geq 50[/tex] by letting [tex]x+y=50[/tex]

It is denoted by orange colour

STEP 3 : Now we draw for [tex]y\leq25[/tex] by letting [tex]y=25[/tex]

It is denoted by green colour.

STEP 4 : Now we draw for [tex]x\leq200[/tex] by letting [tex]x=200[/tex]

It is denoted by blue colour.

Answer:

95

Step-by-step explanation:

We have been given a diagram triangle in which measurement of few angles in terms of x are given.

Using those we need to find the exterior angle but before that we need to find the value of x.

We know that exterior angle is equal to sum of two distant interior angles of that triangle so we can write:

(8x+15)=(3x+20)+(4x+5)

8x+15=3x+20+4x+5

8x+15=7x+25

8x-7x=25-15

x=10

Now plug x=10 into exterior angle 8x+15

8x+15=8*10+15=80+15=95

Hence final answer is 95.

Answer with Step-by-step explanation:

Let x and y be two numbers.

One number is 3 less than twice another.

⇒ y=2x-3

Their sum is 39.

⇒ x+y=39

Hence, system of equations are:

y = 2x - 3 and x + y = 39

Putting y=2x-3 in x+y=39

x+2x-3=39

⇒ 3x-3=39

⇒ x-1=13 (dividing both sides by 3)

⇒ x=14

y=2x-3

⇒ y=2×14-3

⇒ y=28-3

⇒ y=25

Hence, Two numbers are:

14 and 25

Answer:

x + 4 = 7 + 4 = 11 feet

Step-by-step explanation:

Do you ever have a nice "fist", meaning you have very neat handwriting.

You are told that A to MSG = B to MSG

So

Equation

3x - 10 = x + 4

Solution

Subtract x from both sides

3x - x - 10 = x - x + 4             Simplify

2x - 10 = 4                             Add 10 to both sides

2x - 10 + 10 = 4 + 10              Simplify

2x = 14                                   Divide by 2

2x/2 = 14/2

x = 7

x + 4 = 7 + 4 = 11 feet from A to Madison Square Garden

Answer:

4,910 seconds

Step-by-step explanation:

Answer:

all the lines are correct but for x<= 2 there need to be a closed circle, and vica versa for all the others.

Step-by-step explanation:

The lines are correct but for x<= 2

Answer:

The equation of the line would be y = 5x - 28

Step-by-step explanation:

First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.

y - y1 = m(x - x1)

y - 2 = 5(x - 6)

Then we must solve for y.

y - 2 = 5(x - 6)

y - 2 = 5x - 30

y = 5x - 28