What is 18 out of 720 ?
Write as a percent .
Round to the nearest tenth

The answers are presented below:

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

The vertex of an up-down facing parabola of the form ax²+bx+c is \(x_v=\frac{-b}{2a}\)  . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex. When a vertical line passes through the vertex of the parabola, it  is called the axis of symmetry.

The y-intercept is the point where the function crosses the y-axis. And, the x-intercept is the point where the function crosses the x-axis, in other words, when y=0.

First, you should convert the given equation to Standard form.

f(x) = -(c+7)² + 4

f(x)= - (c²+14c+49)+4

f(x)= -c²-14c-49+4

f(x)= -c²-14c-49+4

f(x)= -c²-14c-45

After that, you should check each option of the question.

Correct because present a degree 2 -- f(x)= -c²-14c-45

Incorrect because it is a quadratic function and this function is represented by a parabola.

The coefficients are: a=-1, b=-14, c=-45. Therefore,

\(c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7\)

Incorrect because x-coordinate of vertex is -7

Correct because  \(c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7\)

You can find the y-intercept using c=0, then f(x)= -c²-14c-45 will be:

f(x)=-45.

Incorrect because the y-intercept is (0,-45).

The coefficient a of a quadratic function is negative, thus the function has a point maximum. A relative maximum point is defined as the point where the function changes your direction. In other words, the values of the function increase before the relative maximum and the values decrease after the relative maximum.

Correct, see the attached image.

It is possible to find the number of roots or solutions from discriminant.

For quadratic equation the discriminant is determined by D=b²-4ac, where: a, b and c are coefficients.

If D > 0 - the function will have two real solutions;

If D = 0 - the function will have one real solution;

If D < 0 - the function will have imaginary solutions;

For given equation, the coefficients are: a=-1, b=-14, c=-45. Thus, D=(-14)²-4*(-1)*(-45)

D=196-180=16

D=16 thus D > 0

Incorrect because the D>0.

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The equation of a line is y = -0.5x - 5.5 that is perpendicular to y =2x+5 and passes through the point (-1, -5) in slope-intercept form.

In geometrical mathematics, the slope-intercept form of a line is written as-

y = mx + c

where m is the slope of the line

c is the y-intercept form of the line

The two lines having an angle of 90∘ with each other at the point of intersection are known as the perpendicular lines.

Let us suppose m and m′ are the slopes of two perpendicular lines then-

The point-slope form of a line-

\(y-y_1=m'(x-x_1)\)

Here, \((x_1,y_1)\)is a point on the line.

The equation in the slope-intercept form-

y = 2x + 5

We know that:

The product of slopes of perpendicular lines is -1.  

We can see that the slope m = 2.

If you want a line perpendicular to your function, then the slope would be

m' = -1/m = -1/2

And so, you want your line to go through (-1, -5) Using the point-slope form:

\(y-y_1=m'(x-x_1)\)

\(y-(-5) = -0.5(x-(-1))\)

\(y+5=-0.5(x+1)\)

y + 5 = -0.5x - 0.5

y = -0.5x - 0.5 - 5

y = -0.5x - 5.5

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The root of a number is equivalent of being raised to its inverT

11 cubic root is = 1/11

X = 1/11

Answer:

i think x=7

Step-by-step explanation

Answer:

x=7

Step-by-step explanation:

The inequality shaded in the graph is given as follows:

y ≥ 5x/2 + 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = 3.

When x increases by 2, y increases by 5, hence the slope m is given as follows:

m = 5/2.

Then the equation of the line is given as follows:

y = 5x/2 + 3.

The line is a solid line, and values above it are plotted, hence the inequality is given as follows:

y ≥ 5x/2 + 3.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

C. (-2, 0)

Step-by-step explanation:

\(y = 3x + 6\)

\(y = 2x + 4\)

Since both equations equal y, set them equal to each other.

\(3x + 6 = 2x + 4\)

\(x + 6 = 4\)

\(x = -2\)

Substitute -2 for x in the first equation.

\(y = 3x + 6\)

\(y = 3(-2) + 6\)

\(y = -6 + 6\)

\(y = 0\)

\((-2, 0)\)

Now, substitute the x- and y-values into the second equation.

\(y = 2x + 4\)

\(0 = 2(-2) + 4\)

\(0 = -4 + 4\)

\(0 = 0\)

It works! The soluton to the system of equations is (-2, 0).

Answer:

x=-2 y=0 (-2,0)

Step-by-step explanation: I took algebra

Answer:

Plots that can detect violations in regression assumptions, while response plots help analyse the relationship between the response variable and predictors are Residual plots and scatterplot matrix.

Step-by-step explanation:

There are several graphical plots commonly used to detect violations of regression model assumptions and analyze estimated regression models. Here are a few examples:

Residual plot: A residual plot shows the difference between the observed values of the response variable and the predicted values from the regression model. Patterns in the residuals, such as nonlinearity, heteroscedasticity (unequal variances), or outliers, can indicate violations of assumptions.

Response plot: This plot examines the relationship between the response variable and one of the predictor variables while holding other predictors constant. It helps identify nonlinearity or other issues in the relationship between the response and predictors.

Scatterplot matrix: A scatterplot matrix displays scatterplots between pairs of predictor variables. It can help detect issues like perfect multicollinearity, which occurs when two or more predictors are highly correlated, leading to problems in estimating the regression coefficients.

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Presuming the 4-line means the student E-mail is composed of 4-lines, to be able to determine how many characters were on each line, let's divide the total characters that a student E-mail contained by 4.

We get,

Therefore, the Student E-mail of 250 Characters in 4 lines must have 125 Characters per Line.

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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\(l = \sqrt{(x - x) {}^{2} + (y - y) {}^{2} } \)

\(l = \sqrt{( - 4 - 6) {}^{2} + (16 + 8) {}^{2} } \)

\(l = \sqrt{( - 10) {}^{2} + (24) {}^{2} } \)

\(l = \sqrt{100 + 576} \)

\(l = \sqrt{676} = 26\)

\(radius = \frac{diameter}{2} = \frac{26}{2} = 13\)

\(x(m) = \frac{x + x}{2} = \frac{6 - 4}{2} = \frac{2}{2} = 1\)

\(y(m) = \frac{y + y}{2} = \frac{16 - 8}{2} = \frac{8}{2} = 4\)

\((x - 1) {}^{2} + (y - 4) {}^{2} = 14 {}^{2} \)

\((x - 1) {}^{2} + (y - 4) {}^{2} = 196\)

Answer:

The ratio of the population of Japan to the population of Brazil is 1.30 x 108 : 1.95 x 108, which can be simplified to 13:19. Therefore, x = 6.

Step-by-step explanation:

The general slope intercept form is : y = m * x + b

Where m is the slope and b is y - intercept

Given the equation of the line : x + 3y = 8

Write the equation in slope intercept form to find the slope of the line

so, solve for y :

So, the slope of the given line = -1/3

The parallel lines have the same slope

so, the slope of the required line = -1/3

And the equation will be :

Find the value of b using the given point ( 5 , -6 )

When x = 5 , y = -6

So, the equation of the line will be :

it can be written as : 3y = -x - 13

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Answer: 1.2

Step-by-step explanation: So x is the number of sandwiches sold, 5. While 6 is the money made from selling 5 sandwiches.  SO I think of it like money, 5 sandwiches ÷ 6 money= How much one sandwhich cost, 1.20, a.k.a 1.2 .

Answer:

13

Step-by-step explanation:

To determine the measure of ∠o, additional information is needed. The given information about the measures of ∠2 (137 degrees) and ∠p (58 degrees) does not provide enough details to directly calculate the measure of ∠o.

In order to find the measure of ∠o, we need additional information about the angles in the given scenario. The measures of angles ∠2 and ∠p (137 degrees and 58 degrees, respectively) are provided, but there is no specific information about the relationship between these angles or any other angles in the diagram.

Without knowing the specific geometric properties or relationships among the angles, it is not possible to determine the measure of ∠o. To find the measure of ∠o, additional information, such as the properties of the angles or the nature of the geometric figure, is required.

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Answer:

2816

Step-by-step explanation:

x + 4

For Example: 30 + 4 = 34

Answer:

x >= 2.25

x is greater than or equal to 2.25

Step-by-step explanation:

8x - 3 >= 15

add 3 to both sides

8x >= 18

divide 8 from both sides

x >= 2.25

Answer:

x≥6

Step-by-step explanation:

8x

3 less goes to 8x-3

then there is at least 15 which changes to

8x-3≥15

Then solve for x:

add 3 to the sides--> 3x≥15+3

3x≥18

Divide both of the sides by 3

x≥6

Hope this helped!

Answer:

\(a_{n}=d \cdot n+ a_{1}-d\\here \ a_{1}=6, d= 5\\a_{n}= 5n+6-5 \\a_{n}=5n+1\)

The expected value of X is 100/663.

Let's consider the sequence of 3 number cards as an individual block, then we can see that there are 10 such blocks in the deck (2-3-4, 3-4-5, ..., 9-10-J, 10-J-Q), and there are 39 non-number cards in the deck.

Now, we can consider flipping the cards one by one and keep track of the number of times we see the beginning of a new block of 3 number cards. There are 50 positions in the deck where a block of 3 number cards could begin (the first 2 cards cannot start a block and the last 2 cards cannot end a block). For each position, the probability of seeing the beginning of a new block is given by:

P(new block) = P(first card is a number) x P(second card is the next number) x P(third card is the next number) = 10/52 x 4/51 x 4/50 = 2/663

Therefore, the expected value of X is:

E(X) = P(new block at position 1) + P(new block at position 2) + ... + P(new block at position 50) = 50 x P(new block) = 50 x 2/663 = 100/663

So, the expected value of X is 100/663.

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First, y = 40, since they are vertical angles.

Second, I assume the two angles with red marks are the same measure.  The notation I learned would put a tick mark to formally indicate that, but without those being the same, you couldn't answer the question.

So, assuming that's correct, you'd have 2x + 2x + 40 = 180, since the measures of the angles of the left triangle have to add to 180º.

Solving 2x + 2x + 40 = 180, you'd get 4x = 140, or x = 35º.

Hope that helps.

Step-by-step explanation:

A ratio is a comparison of two quantities, expressed as a fraction or with a colon. For example, the ratio of boys to girls in a classroom might be 2:3 or 2/3. A ratio does not require any specific relationship between the two quantities being compared.

A proportion, on the other hand, is an equation that states that two ratios are equal. It is a statement that two ratios have the same value. For example, if the ratio of boys to girls in a classroom is 2:3 and the total number of students is 50, we can set up a proportion to find out how many boys there are:

2/5 = x/50

In this case, x represents the number of boys. Solving the proportion yields x = 20, so there are 20 boys in the classroom.

In summary, while a ratio is simply a comparison of two quantities, a proportion is an equation that states that two ratios are equal.

The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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The solutions of the quadratic equation x2 7x 4/7 0 are x = 3/7

The solutions of the quadratic equation x2 7x 4/7 0 can be found using the Quadratic Formula. The Quadratic Formula is written as x = -b ± √(b2 - 4ac) / 2a. In this equation, ‘a’ is the coefficient of x2, ‘b’ is the coefficient of x, and ‘c’ is the constant. In this case, ‘a’ is equal to 1, ‘b’ is equal to 7 and ‘c’ is equal to 4/7. Using this information, the Quadratic Formula can be written as x = -7 ± √(72 - 4(1)(4/7)) / 2(1). This simplifies to x = -7 ± √(49 - 16/7) / 2. This can be further simplified to x = -7 ± √(49 - 16/7) / 2. Finally, the equation can be solved to give the two solutions of the equation which are x = 3/7 and x = 2. Thus, the solutions of the quadratic equation x2 7x 4/7 0 are x = 3/7

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Answer:

111.678

Step-by-step explanation:

Let us suppose that the farmer buys x cows, y pigs and z sheep. The total cost of cows, pigs, and sheep bought by the farmer is

10x + 3y + 0.5z.

The total number of cows, pigs, and sheep bought by the farmer is

x + y + z.

Given that the farmer spent exactly 100 and bought exactly 100 animals, we can write two equations as follows.

:\($10x + $3y + $0.5z = $100 ---(1)x + y + z = 100 ---(2).\)

Multiplying equation (2) by 10 on both sides, we get

:10x + 10y + 10z = 1000

Subtracting this equation from equation (1), we get

:7y + 9.5z = 500

The LHS of the equation

7y + 9.5z = 500

is an odd number. This means that either y or z has to be odd and the other even. If y is even, then z has to be odd and vice versa. However, both

3y and 0.5z

are integers.

The solutions are:

x =

52,

y = 8,

z = 40 ---(Option A)

or = 48,

y = 16,

z = 36

x = 44,

y = 24,

z = 32x

= 40,

y = 32

z = 28

The farmer buys 52 cows, 8 pigs, and 40 sheep.

Hence,

the answer is 52 cows, 8 pigs, and 40 sheep.

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Answer:

.6x=540, x= number surveyed

Step-by-step explanation:

.6×=540

x=number surveyed

60% of number surveyed is 540

multiply where "of" is and "is" is the equal sign

Answer:

18.34

Step-by-step explanation:

18.2

0.32 so

18.2+0.32=18.34