Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = −1/2x − 3; (14, 0)

The equation is y = ?

Answer:

Step-by-step explanation:

Kentia Palm plant = $45, Schefflera plant = $35

Areca Palm plant = $40

The decorator plans to buy 10 plants.

A.) Let k be the number of kentia palm plants and s be the number of schefflera plants the decorator buys. In terms of k and s, how many Areca Palm plants does the decorator buy?

k = number of kentia palm plants s = number of schefflera plants

Number of Areca Palm plants = total number of plants - (number of kentia palm plants + number of schefflera plants

= 10 - (k + s)

Number of Areca Palm plants, a = 10 - (k + s)

B.) write and simplify an expression in term of k and s for the total cost of the plants.

Total cost = 45k + 35s + 40a

Substitute a = 10 - (k + s)

Total cost = 45k + 35s + 40{10 - (k + s)

= 45k + 35s + 40(10 - k + s)

= 45k + 35s + 400 - 40k + 40s

= 5k + 75s + 400

Total cost = 5k + 75s + 400

C.) Of the 10 plants the decorator buys, 2 are kentia palm plants and 5 are schefflera plants. Use your expression from part (b) to find the total cost.

Total cost = 5k + 75s + 400

k = 2 and s = 5

= 5(2) + 75(5) + 400

= 10 + 375 + 400

= 785

Total cost = 785

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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The charity organization will donate $100 + $10.

The dependent and independent variables are the two types of variables that are involved in a mathematical equation. In this problem, f is the independent variable, and c is the dependent variable.

An independent variable is the variable that is changed or controlled to test the effects on the dependent variable.

In the equation c = f + 10, f is the independent variable and c is the dependent variable.

This equation is an example of a linear equation where y is a dependent variable and x is an independent variable. The equation means that the amount of money that the charity organization contributes (c) is dependent on the amount of money that you raise during the fundraiser (f).

For every dollar raised, the charity organization will contribute an additional ten dollars. That is, c will always be equal to the amount of money raised (f) plus 10.

If f is zero, then c is also zero plus 10, which means the charity organization will donate ten dollars.

If f is $50, then c will be $60 since the charity organization will donate $50 + $10. If f is $100,

then c will be $110

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The expression for the number of ballon bouncer games played at the arcade is :

Let :

Her spending could be represented using the expression :

2 + 3b = 35

3b = 35 - 2

3b = 33

b = 33/3

b = 11

Therefore, the Number of Ballon bouncer games played is 11.

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Answer:

Step-by-step explanation:

7

Answer:

Step-by-step explanation:

see image for answers and explanation.

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Step-by-step explanation:

Garden area = L x W = sqrt (30 *8) = sqrt (240)

Pond area = L x W = sqrt (2 *6) = sqrt (12)

Percentage of the garden that is pond:

   pond area / garden area   x 100%

          sqrt (12) / sqrt(240)   x 100%  =  sqrt (1/20)   x100% = 22.36 %

Answer:

X<-1.

Step-by-step explanation:

It means x is all numbers less than - 1

Answer:

\(\Large \boxed{\mathrm{The \ value \ of} \ x \ \mathrm{is \ less \ than} \ -1}}\)

Step-by-step explanation:

\(x<-1\)

That is the less than symbol.

\(x\) represents a number.

The value of \(x\) is less than -1.

The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.

The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.

Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:

I = [[1, 0],

    [0, 1]]

In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.

Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

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Therefore , the solution of the given problem of expressions comes out to be  7n.

Instead of using random estimates, it is preferable to use shifting numbers that may also prove increasing, reducing, variable or blocking. They could only help one another by trading tools, information, or solutions to issues. The justifications, components, or quantitative comments for tactics like further disagreement, production, and blending may be included in the assertion of truth equation.

Here,

By dividing the number of rows by the number of trees in each row, one can calculate the total number of trees in Mr. Lee's apple orchard. Here are two expressions that demonstrate various approaches to determining the overall number of trees:

There are 7n =  trees in all.

=> Total number of trees = (Number of rows) x (Number of trees in each row) = 7n

The total number of trees in the orchard is the outcome of both expressions.

While the second statement more directly depicts the multiplication, the first expression merely merges the two elements into a single term.

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Answer:72.25

Step-by-step explanation:

Answer:

$72.25 is the price of the $85 item on sale for 15% off the regular price.

Step-by-step explanation:

First you need to find out how much 15% off the original price is:

85 x .15 (change percent to a decimal by moving the decimal point to the left two times, so if it was 25%, the decimal form is .25)

85 x .15= 12.75, so there is $12.75 off the original price of $85.

$85 - $12.75= $72.25!

Yw!

9514 1404 393

Answer:

  18

Step-by-step explanation:

There are two areas where the circles P and C overlap. One is labeled "4" and the other is labeled "3x". The sum of these two values is the number of people who like Pop and Classical  music, 13.

  4 + 3x = 13

  3x = 9 . . . . . subtract 4

  x = 3 . . . . . . divide by 3

__

We are asked to find the number of people who like two types only. The three regions where only two circles overlap are labeled x, 3x, and 6. The answer to the question is the sum of these values.

  like 2 types only: x +3x +6 = 4x +6 = 4(3) +6 = 18

18 students like two types of music only.

:0 my brians hurt

Also That’s cool but did you know lliberty mutual customizes your carinsurance topay for what you need

A statistical package is likely to be used with quantitative research but not with qualitative research - True.

The collection and analysis of numerical data, such as survey responses or experimental measurements, is common in quantitative research, and statistical analysis is frequently used to summarise and interpret this data. In quantitative research, statistical software such as SPSS, R, or Stata are widely used to do data analysis and statistical tests.

In contrast, qualitative research often entails gathering and interpreting non-numerical data, such as interview transcripts or observational notes. Although statistical analysis may not be suited for this type of data, several software packages, such as NVivo, MAXQDA, or ATLAS.ti, can be used to manage and analyse qualitative data.

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Answer:

A. 1

Step-by-step explanation:

\( {i}^{28} = ( {i}^{2} )^{14} = ( - 1)^{14} = 1 \\ \)

The solution to the given system of linear equations is (x, y) = (-1, 1).

A linear equation is defined as an equation in which the highest power of the variable is always one.

The system of equations is given in the question, as follows:

-6y + 2 = 4x

y - 2 = x

Here's how to solve this system of equations using the elimination method:

Multiply the first equation by 2:

-12y + 4 = 8x

Add the two equations:

-12y + 4 + y - 2 = 8x + x

-11y + 2 = 9x

Solve for x:

x = (2 - 11y)/9

Substitute the value of x back into one of the original equations to find y:

-6y + 2 = 4x

-6y + 2 = 4((2 - 11y)/9)

-6y + 2 = (8 - 44y)/9

-54y + 18 = 8 - 44y

26y = 26

y = 1

Use the value of y to find x:

x = (2 - 11y)/9

x = (2 - 11 * 1)/9

x = (2 - 11)/9

x = -9/9

x = -1

Thus, the solution is (x, y) = (-1, 1).

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Answer:

j=1

Step-by-step explanation:

5=3j+2

3j=3

j=1

The simplified expression, given the rule for exponentiation of powers, is 1, 024 x ³⁰.

To simplify the expression ((2x³) ⁵ ) ², we need to apply the rule for exponentiation of powers which states " When an expression is raised to a power, and that result is raised to another power, we can simplify by multiplying the exponents."

Using this rule, we can simplify the expression as follows:

( ( 2 x ³ ) ⁵ ) ² = (2 ⁵ x (3 x 5) ) ^ 2

= ( 32 x ¹⁵ ) ²

= 1, 024 x ³⁰

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x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:

Yes, it is a function

Step-by-step explanation:

-2x+4y=0 is a function as it maps one x value to just one y value.

-2x+4y=0 can be rearranged to turn it into a linear equation:

-2x+4y=0

4y=2x

y=x/2

Since this equation is a line (see in attatched graph) and every x value has just one y value, it is a functuon.

Answer:

None

Step-by-step explanation:

The square root function never outputs negative values.

Answer:

16.4

Step-by-step explanation:

80/5 = 16

2/5 = 0.4

16 + 0.4 = 16.4

Answer:

HOPE THIS HELPS

Step-by-step explanation:

5. 4/3__>___1.25 6. -78__<___-0.8 7. -0.31___<__-0.303

Answer:

16. -16+7=-9

17. -11+1=-10

18. 12+13=25

19. -4+(-8)=-12

The statement provides two quantities, A and B, expressed as ratios of positive integers c and d. The relationship between the quantities A and B cannot be determined from the information given.

The statement provides two quantities, A and B, expressed as ratios of positive integers c and d. However, no specific values or constraints are given for c and d. Without knowing the specific values or any relationship between c and d, it is impossible to determine the relationship between A and B.

The relative magnitudes of A and B will depend on the values of c and d. If the value of c is greater than d, then A would be greater than B. Conversely, if the value of d is greater than c, then B would be greater than A. However, without any information about the values of c and d or any relationship between them, we cannot determine the relationship between A and B.

Therefore, based on the given information, the relationship between quantities A and B cannot be determined.

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Distance from home

Graphin