Abigail goes out to lunch. The bill, before tax and tip, was $15.10. A sales tax of 6% was added on. Abigail tipped 14% on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent.

The edge where two colors meet and the visual line formed by a row of people waiting are examples of Implied lines.

Define vertical lines?

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The degree of polynomial 2x^2 + 5x^3 + 7 is 3.

The degree of a polynomial is the highest power of the variable in the polynomial.

The degree of a polynomial gives us an idea of how quickly the value of the polynomial changes as the input (x) changes. A polynomial of degree n will change more quickly than a polynomial of degree n-1. In this case, the polynomial 2x^2 + 5x^3 + 7 is a polynomial of degree 3.

In the polynomial 2x^2 + 5x^3 + 7, the highest power of the variable x is 3, which is in the term 5x^3. Therefore, the degree of the polynomial is 3.

It's important to note that the constant term 7 does not affect the degree of the polynomial as it does not have a variable x in it.

--The question is incomplete, answering to the question below--

"What is the degree of polynomial 2x^2 + 5x^3 + 7?"

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Answer:

Step-by-step explanation:

Let's name the radius of the circle "r". Because the circumference of the circle grows at a constant rate of 6 inches per second, we can apply the calculation C = 2 * pi * r to calculate the rate at which the radius grows.

dC/dt = 2 * pi * dr/dt = 6 inches/second

Because the square is parallel to the circle, the length of one of its sides equals the diameter of the circle. As a result, the square's perimeter equals four times the diameter of the circle or P = 4 * 2 * r.

As a result, the pace at which the square's perimeter grows is:

dP/dt equals 4 * 2 * dr/dt equals 8 * dr/dt

Substituting the dr/dt value from the first equation:

dP/dt = 8 * dC/dt = 8 * 6 inches per second = 48 inches per second

The pace at which the perimeter of the square is growing is 48 inches/second

b) The circle's area is determined by A = pi * r2.

If A = 257 square inches, we may calculate the value of r at that moment.

sqrt(A/pi) = sqrt(257/pi)

The rate of growth in the circle area is dA/dt = 2 * pi * r * dr/dt.

Substituting the dr/dt value from the first equation and the r value from above:

dA/dt = 2 pi * sqrt(257/pi) * 6 in/sec = 12 sqrt(257) in/sec

The area enclosed between the circle and the square equals the square's area minus the circle's area.

Let's call the square's side length s.

enclosed area = s2 - A = s2 - pi * r2

d(s2 - pi * r2)/dt = 2sds/dt is the rate of expansion of the enclosed area.

We may calculate the rate of increase of the enclosed area by substituting the value of ds/dt from the first equation.

ds/dt = dP/dt / 4 = 48 inches per second / 4 = 12 inches per second

d(s^2 - pi * r^2)

/dt = 2 * s * ds/dt = 2 * s * 12 inches/sec = 24 * s

The rate of expansion in the area enclosed between the circle and the square is 24*s inches/sec at the instant when the size of the circle is 257 square inches.

Please note that s is not supplied in the issue, thus it's impossible to determine the precise value of the rate of increase in the area contained.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Trigonometry is a discipline of mathematics that deals with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are evaluated in terms of sides and angles.

Thus, The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

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The given expression 2x+3y =- 9 is compared with the general form y=mx+c. And the slope is -2/3.

A line's direction and steepness are both expressed by a numerical value called the slope or gradient of the line. It provides the ratio of how much that y increases when x increases by a certain amount. This is therefore given by the general expression y=mx+c where y-intercept is denoted by c and slope by m.

First, subtracting both sides of the given expression by 2x, we get,

[tex]\begin{aligned}2x + 3y - 2x &= -9 - 2x \\3y &= -9 - 2x\end{aligned}[/tex]

Now divide the above expression by 3, and we get,

[tex]\begin{aligned}y=-3-\frac{2x}{3}\end{aligned}[/tex]

Comparing the above expression with the general form of the slope, we get the slope as  -2/3.

The complete question is -

What is the slope of 2x+3y =- 9?

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By using distributive property we can form an equivalent expression of 8(35) which is,  8(5 + 30)

Distributive property says that, the number multiplied with the bracket is multiplied with each term when open a bracket.

For example, 3(a + b) = 3a + 3b

Given expression,

⇒ 8(35)

We have to make equivalent expression

35 can be break in form of sum of two terms,

⇒ 35 = 30 + 5

⇒  8(35) = 8(5 + 30)

Hence, the equivalent expression is  8(5 + 30)

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Answer: 6 pupils

Step-by-step explanation:

55-12=43

28+21=49

49-43=6

[tex]\it \begin{cases}\ \it 3x+2y=11\\ \\ \it 7x-y=3\bigg|_{\cdot2}\end{cases} \Rightarrow \begin{cases}\ \it 3x+2y=11\\ \\ \it 14x-2y=6\end{cases}\\ \rule{0.2}{0.2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \rule{120}{0.7}\\ \\ \rule{0.2}{0.2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 17x\ \ \ \ \ \bigg|\ \ \ =17\\ \\ \\ 17x=17 \Rightarrow x=1\ \ \ \ \ (*)\\ \\ \\ 7x-y=3\ \stackrel{(*)}{\Longrightarrow} 7-y=3 \Rightarrow y=4\\ \\ \\ S=\{(1,\ \ 4)\}[/tex]

The correct expression to represents the final price of the item is,

⇒ p + 7p/100

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The original price of an item is p has a increased by 7%.

Now, The increased price is find as;

⇒ Increased price = 7% of p

                             = 7p/100

Thus, The final price of the item is,

⇒ p + 7p/100

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Answer: 75 in

Also could you mark my answer as brainliest? It helps and doesnt hurt

Step-by-step explanation:

the question is phrased incorrectly.

the "can" is the problem.

they "can" lie on 3 different planes, even if they are on the same line.

but what 3 points always do in 3-dimensional geometry : they define 1 plane, if they are not on the same line.

it is the minimum of needed information to define a plane : 3 points not on the same line. because they create a triangle, which is a 2- dimensional shape representing its own plane in a 3- dimensional world.

similar to 2-dimensional and 3- dimensional geometry, any 2 points (if they are not identical on the same dot) define 1 line.

No, there aren't 60 or 180 degrees in a right angle. Right angles measure only 90 degrees.

When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.

A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.

The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L".

Thus, there aren't 60 or 180 degrees in a right angle. Right angles measure only 90 degrees.

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Answer:

417 dollers is how many stewrt has

Step-by-step explanation:

Answer:

$16.68

Step-by-step explanation:

83.40÷5=16.68 so Stuart would have $16.68

The bacteria's population will triple in 4.75 hours.

Every three hours, bacteria double.

There is an 8 x 3-hour dividend every 24 hours.

100 microbes to get you started

due to the fact that there are 8 x 3 hours in a day and the doubles culture

Bacterial count in 24 hours will be

100 x 8 = 800

800 * 2 = 1600 is the result of doubling this quantity.

Respond to 1600 bacteria.

So the bacteria will triple in.

Using a differential equation, it is found that the bacteria's population will triple in 4.75 hours.

It triples when P(t) = 3P(0), hence:

What differential equation is employed in this issue?

The population is characterized by the following differential equation because the rate of bacterial growth in a particular culture is related to the number of bacteria present:

dp/dt=kp

where k represents the growth rate.

Using a differential equation, it is found that the bacteria's population will triple in 4.75 hours.

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There are 2 music classes. This is a problem of combination. We can use the formula:

combinations = (n!) / (r! * (n-r)!)

Where n is the total number of choices and r is the number of choices in each combination.

We know that Sam can make 36 possible combinations and that he has 4 language classes, and 3 art classes to choose from.

Let's assume that there are x music classes.

So the total number of classes is 4 + 3 + x = x + 7

We can substitute these values into the formula:

36 = (x+7)! / (3! * (x+7-3)!)

36 = (x+7)(x+6)(x+5) / (321)

We can simplify it to

36 = (x+7)(x+6)(x+5)

We can find the value of x by solving the above equation.

x = 2

Therefore, there are 2 music classes.

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The true statement about the function is,

⇒ The graph of the function is a parabola.

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The quadratic function is,

⇒ f(x) = x² - 5x + 12

Now, We check all the options as;

For the value of f (-10), we can put x = - 10 in given equation, we get;

⇒ f(x) = x² - 5x + 12

⇒ f(-10) = (-10)² - 5×-10 + 12

⇒ f (-10) = 100 + 50 + 12

⇒ f (-10) = 162

Option 1 is wrong.

After draw the graph of quadratic equation, we get;

The quadratic function f(x) = x² - 5x + 12 represent a parabola.

Hence, Option 2 is true.

By graph it is clear that the quadratic function f(x) = x² - 5x + 12 open up and not contain the points (20, - 8) and (0, 0).

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Answer: To earn an 80 in the class, the student needs to get a score of 80*2=160 on their final exam.

14. Tests: 76, 81, 72. Final exam: 160-((76+81+72)/3)2 =160-772 =160-154=6

Tests: 60, 65, 70. Final exam: 160-((60+65+70)/3)2 =160-652 =160-130=30

Tests: 50, 70, 70. Final exam: 160-((50+70+70)/3)2 =160-632 =160-126=34

Tests: 60, 70, 75. Final exam: 160-((60+70+75)/3)2 =160-682 =160-136=24

Step-by-step explanation:

Yes, For exponential growth this is a valid way to find the per capita growth rate That is rmax.

r max is the maximum per capita rate of increase for a particular species under ideal conditions, and it varies from species to species. For instance, bacteria can reproduce much faster than humans and would have a higher maximum per capita rate of increase. The maximum population growth rate for a species, sometimes called its biotic potential, is expressed in the following equation:

dT/dN =rmax* N

Population growth depends upon the difference between Newborn and dead and if we talk about exponential growth the difference is nearly the same as that of the original present population and the per capita growth is being calculated in a similar manner as by dividing the difference between newborn and dead with original present population.

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Optimal allocation for estimating the population mean is 16.7 and 83.7 sample units.

Optimal allocation for estimating the difference of the means of the strata,μH-μL is 26.4 and 73.6 sample units.

a) To find the optimal allocation for estimating the population mean, we want to minimize the variance of the estimator. One common method for this is to use the proportional allocation, where the proportion of the sample allocated to each stratum is equal to the proportion of the population in that stratum.

In this case, the proportion of the population in stratum h is 100,000 / (100,000 + 500,000) = 0.167, and the proportion of the population in stratum L is 1 - 0.167 = 0.833.

So, the optimal allocation for estimating the population mean would be:

Stratum h: 16.7% of the sample, or 16.7% * 100 = 16.7 sample units

Stratum L: 83.3% of the sample, or 83.3% * 100 = 83.3 sample units

b) To find the optimal allocation for estimating the difference of the means of the strata, μH-μL, we again want to minimize the variance of the estimator. One method to achieve this is to use the Neyman allocation, where the sample size is allocated to each stratum in such a way that the variance of the estimator is minimized.

To do this, we need to know the variances of the strata, which are given as 20^2 and 12^2 respectively. The optimal allocation is given by the ratio of the variances, which is:

(12^2) / (20^2 + 12^2) = 144/544 = 0.264

So, the optimal allocation for estimating the difference of the means of the strata is:

Stratum h: 26.4% of the sample, or 26.4% * 100 = 26.4 sample units

Stratum L: 73.6% of the sample, or 73.6% * 100 = 73.6 sample units

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The equation of the line in slope-intercept form is: y = -1/2x + 3.

To write the equation of a line in slope-intercept form, use the equation y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis). For example, if the slope of the line is 2 and the y-intercept is -3, the equation of the line in slope-intercept form would be y = 2x - 3.

Therefore, slope of the graph given = rise/run = -1/2.

Y-intercept of the line, b = 3.

To wrote the equation of the line, substitute m = -1/2 and b = 3 into y = mx + b:

y = -1/2x + 3.

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Answer:

2x+5=21

2x+5-5=21-5

2x=16

2x/2=16/2

2x+2=18

2x+2-2=18-2

2x=16

2x/2=16/2

Step-by-step explanation:

Answer:

C.  (30 x 4) x (30 x 5)

Step-by-step explanation:

30 x (4 x 5)

We distribute and get

(30 x 4) (30 x 5)

So, the answer is C. (30 x 4) x (30 x 5)

Answer:

D

Step-by-step explanation:

30x(4x5)=(30x4)x5

They are all multiply, so Parentheses can in any two of them.

Standard form of the two equations is: a1x+b1y=c1 and a2x+b2y=c2, where a1=2, b1=3, c1=6, a2=1, b2=-1 and c2=2.

Standard form of the two equations is:

2x + 3y = 6 (Equation 1)

y - x = 2 (Equation 2)

Therefore, a1 = 2, b1 = 3, c1 = 6, a2 = 1, b2 = -1 and c2 = 2.

The standard form of linear equations in two variables is a1x+b1y=c1 and a2x+b2y=c2. This means that the coefficients of x and y in each equation must be expressed as a single numerical value.

In the given example, the two equations are 2x + 3y = 6 and y - x = 2. To

convert these equations into the standard form, we need to calculate the values of a1, b1, c1, a2, b2 and c2.

For the first equation, a1 = 2, b1 = 3, and c1 = 6. For the second equation, a2 = 1, b2 = -1, and c2 = 2. Therefore, the standard form of the two equations is a1x+b1y=c1 and a2x+b2y=c2, where a1=2, b1=3, c1=6, a2=1, b2=-1 and c2=2.

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The domain function f/x )= x 1 is a mathematical expression that describes the relationship between an independent variable (x) and a dependent variable (f(x)).

The equation states that f(x) is equal to x minus 1. This means that for every value of x, there will be a corresponding value of f(x) that is one less than the value of x. For example, if x is 5, then f(x) will be 4; if x is 3, then f(x) will be 2; and so on.

Domain function f/x )= x 1 is a mathematical function that describes the relationship between a given input (x) and the output (f(x)). In this case, the output (f(x)) is always equal to the input (x) plus one. That is, for any given value of x, the output (f(x)) will be one greater than the input (x). For example, if x is equal to 5, then f(x) would be equal to 6.

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There is no solution for this equation j+3/8j=3/4

To find the solution to the equation, We move all terms to the left:

j+3/8j-(3/4)=0

Domain of the equation: 8j!=0

j!=0/8

j!=0

j∈R

We add all the numbers together, and all the variables

j+3/8j-(+3/4)=0

We get rid of parentheses

j+3/8j-3/4=0

We calculate fractions

This is to say that there is no solution for the function.

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correct question:

What is the Solution for j+3/8;j=3/4 equation:

The equation in multiplication form and division will be equal to 12/3 = 4 and 12 × 1/4 = 3.

The addition, subtraction, multiplication, and division of two or more integers are the four fundamental mathematical operations. The study of integers, particularly the order of operations, is one of them. This study is important for all other mathematical areas, such as algebra, data organisation, and geometry.

Given:

The given statement is: There are 12-fourths in 3.

The statement in division form will be

= 12/3 =4

The statement in multiplication form,

= 12 × 1/4

= 3

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The required ratio of number of pots of daises to the number of pots of roses is 10:7.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls).

We have,

14 pots of roses and 20 pots of daisies.

Ratio will be

20/14

10/7

Thus,required ratio is 10:7.

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Complete question:

In Kyle's garden, there are 14 pots of roses and 20 pots of daisies.

a. What is the ratio of the number of pots of dalsies to the number of pots of roses?

Multiplying polynomials is done by applying the Distributive Property when necessary.

What is Distributive Property ?

The Distributive Property states that multiplying sum of two or more addends by a number will give same result as multiplying each addend individually by number and then adding products together.

There are three steps to multiply a polynomial ;

(i) We multiply each term in one polynomial by each term of other polynomial by using the distributive law.

(ii) Next , we add powers of same variables using exponent rule.

(iii) Next we simplify the resulting polynomial by adding or subtracting  like terms.

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Check the picture below.

now let's take a looksie at the triangles, well segments DE || AC, that only happens if segment DE is the midsegment of the triangle ABC, which also means that both triangles are similar

[tex]\cfrac{AB}{DB}=\cfrac{BC}{BE}\implies \cfrac{(2x)+(x+5)}{x+5}=\cfrac{4+3}{4}\implies \cfrac{3x+5}{x+5}=\cfrac{7}{4} \\\\\\ 12x+20=7x+35\implies 5x+20=35\implies 5x=15\implies x=\cfrac{15}{5}\implies x=3[/tex]