Simplify. Write your answer in standard form with no spaces 2(x - 9)

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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The second one is correct (Radius is the distance from the center to any point on the circle)

Answer:

2.)

Step-by-step explanation:

The radius of any circle is the distance from the EXACT center, to any point of the circle.

The equation of the line that passes through (-2, 5) and is perpendicular to x = 3 is: y = 5.

If an equation of a line is given as x = b, "b" represents the x-intercept of the line, which means the line is a vertical line. Thus, the line that is perpendicular to such line would be a horizontal line, whose equation is expressed as y = b. "b" is the y-coordinate of the point it passes through.

Thus, the equation of a line is given as, x = 3. The line is a vertical line.

The line that is perpendicular to x = 3 is a horizontal line. It passes through the point (-2, 5). Thus, using the equation in the form of y = b, the equation of the line that is perpendicular to x = 3 would be expressed as: y = 5.

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The expression (p¼)⅔ can be simplified using the exponent property \(a^m/ a^n = a^{^m-n. }\)

The expression (h\(^{^3/4}\))/(h\(^{^4/3}\)) can be simplified using the exponent property (a\(^{m}\))ⁿ = \(a^{mn}\).

The expression z¾ * z⅚ can be simplified using the exponent property \(a^m . a^n =a^{m+n}\).

The expression (x³/y)⅓ can be simplified using the exponent property (a/b)ⁿ = aⁿ/ bⁿ.

The exponent property states that when multiplying two exponential terms with the same base, the exponents should be added.

The expression (p¼)⅔ can be simplified using the exponent property \(a^m/ a^n = a^{^m-n. }\)

The expression can be rewritten as \(p^{1/4} /p^{2/3}\), which can be further simplified to p\(^{^-5/12}\).

The expression (h\(^{^3/4}\))/(h\(^{^4/3}\)) can be simplified using the exponent property (a\(^{m}\))ⁿ = \(a^{mn}\). The expression can be rewritten as (h³)\(^{1/4}\)/(h⁴)\(^{1/3}\), which can be further simplified to h\(^{-1/12}\).

The expression z¾ * z⅚ can be simplified using the exponent property \(a^m . a^n =a^{m+n}\). The expression can be rewritten as z¾ * z⅚, which can be further simplified to z\(^{23/24}\).

The expression (x³/y)⅓ can be simplified using the exponent property (a/b)ⁿ = aⁿ/ bⁿ. The expression can be rewritten as (x³/y¹)/(x⅓), which can be further simplified to x\(^{4/3}\)y¹.

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Using the concept of proportionality, it is found that these following situations represent proportionality:

A) The total amount a babysitter makes who earns $10 an hour for babysitting r hours.

C) The total amount Andrew saves when he saves $24 a week for w weeks.

In a proportional relationship, the output y is given by the input x multiplied by a constant k, that is:

\(y = kx\).

In this problem:

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Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that \(p = 0.07\)

A day care program has capacity for 8 children in that age range.

This means that \(n = 8\)

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337\)

0.337 = 33.7% probability that one of the eight children has a food allergy.

The general solution of the logistic equation is y = 14 / [1 - C · tⁿ], where a = - 14² / 3 and C is an integration constant. The particular solution for y(0) = 10 is y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

Herein we have a kind of ordinary differential equation with separable variables, that is, that variables t and y can be separated at each side of the expression prior solving the expression:

dy / dt = 3 · y · (1 - y / 14)

dy / [3 · y · (1 - y / 14)] = dt

dy / [- (3  / 14) · y · (y - 14)] = dt

By partial fractions we find the following expression:

- (1 / 14) ∫ dy / y + (1 / 14) ∫ dy / (y - 14) = - (14 / 3) ∫ dt

- (1 / 14) · ln |y| + (1 / 14) · ln |y - 14| = - (14 / 3) · ln |t| + C, where C is the integration constant.

y = 14 / [1 - C · tⁿ], where n = - 14² / 3.

If y(0) = 10, then the particular solution is:

y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

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Answer:

(a) 1.645

(b) 2.5758

Step-by-step explanation:

The complete question is: Find Z(\(\alpha\)/2) for the confidence level 90% and for the confidence level 99%.

Firstly, as we know that \(\alpha\) represent the level of significance, i.e;

Level of significance = 1 - confidence level

(a) We are given the confidence level of 90%, so;

     Level of significance = 1 - 90%

                                         = 1 - 0.90 = 0.10 or 10%

Now, \(Z_(_\frac{\alpha}{2}_)\) = \(Z_(_\frac{0.10}{2}_)\) = \(Z_(_0_._0_5_)\)

This means that we have to look for a critical value in the z table at a 5% level of significance which gives us a value of 1.645.

(a) We are given the confidence level of 99%, so;

     Level of significance = 1 - 99%

                                         = 1 - 0.99 = 0.01 or 1%

Now, \(Z_(_\frac{\alpha}{2}_)\) = \(Z_(_\frac{0.01}{2}_)\) = \(Z_(_0_._0_0_5_)\)

This means that we have to look for a critical value in the z table at a 0.5% level of significance which gives us a value of 2.5758.

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\stackrel{vertex}{(\stackrel{h}{2}~~,~~\stackrel{k}{-11})}\qquad y=a(x-2)^2-11\qquad \qquad \textit{we also know that} \begin{cases} x=0\\ y=5 \end{cases} \\\\\\ 5=a(0-2)^2-11\implies 16=4a\implies \cfrac{16}{4}=a\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=4(x-2)^2-11~\hfill\)

The equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5) is y = 4 (x - 2)² - 11.

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

The general form of a parabola is,

y = a (x - h)² + k

where (h, k) is the vertex.

Given vertex is (2, -11).

Equation is,

y = a(x - 2)² - 11

Also, given that the parabola passes through the point (0, 5).

Substituting,

5 = a (0 - 2)² - 11

⇒ 5 = 4a - 11

⇒ a = 4

So the required equation is, y = 4 (x - 2)² - 11.

Hence the equation of the given parabola is y = 4 (x - 2)² - 11.

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Answer:

Two objects that have excess opposite charges, one positively charged and the other negatively charged, attract each other when relatively near.

Answer:

804

Step-by-step explanation:

Just use a calculator.

Answer:

\(1 + (3 \times 3) = 1 + 9 = 10 \\ thank \: you\)

Answer:

its 10

Step-by-step explanation:

1+(3x3)

1+(9)

10

plz give brainliest im tryna level up

The slope-intercept form of the equation is y = 3/5x + 2.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given equation is 12x - 20y = -40. The slope-intercept form of the equation of the line will be written as,

y = mx + c

12x - 20y = -40

-20y = -12x - 40

y = (12/20)x + 2

y = 3 / 5x + 2

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Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

In using quarterly time series data, Quarter two  can serve as the base period for interpretation of dummy variables.

What do you mean by interpretation?

The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.

                           Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.

What are examples and variables?

A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.

                                 The two primary categories of variables are categorical and numeric.

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Answer:

y=-1/4x - 2

Step-by-step explanation:

gradient of perpendicular lines is got by :M1M2= -1

y =4/3x + 6 rearrange 3y = 4x + 18

gradient is 4

4M2 =-1

M2 =-1/4

then is -2

hence y = mx + c is y = -1/4 x -2

Solution:

Note that:

Simplifying the LHS:

Using cross multiplication:

Divide 64 both sides.

28 is 43.75% of 64

Hey where are the questions?

The end behavior of the function q(x) is:

To know the end behavior we need to look at the degree and the sign of the leading coefficient.

If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.

Here we can see that the function is:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:

when x → ∞, q(x) → -∞

when x → -∞, q(x) → -∞

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Answer:

a= 7/n+h^2

Step-by-step explanation:

Answer:

a = (-h² + 7) ÷ n

Step-by-step explanation:

n = -h² +( 7 ÷ a)

cross-multiply:

an = -h² + 7

divide by 'n'

a = (-h² + 7) ÷ n

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

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Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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Answer:

C

Step-by-step explanation:

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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