I need help with this​

Answer:

-1029

Step-by-step explanation:

24, 11, -2...

f(n) = 24 - 13n

f(81) = 24 - 13(81) = 24 - 1053 = -1029

The cost of one box of black-and-white brochures is $43.25 and the cost of one box of color brochures is $13. Let's use variables to represent the unknown quantities in this situation.

Let:

x be the cost of one box of black-and-white brochures

y be the cost of one box of color brochures

Based on the given information, we can set up a system of equations:

4x + 3y = 134    (Equation 1)

3x + 3y = 120     (Equation 2)

The first equation represents the total cost of 4 boxes of black-and-white brochures and 3 boxes of color brochures. The second equation represents the total cost of 3 boxes of black-and-white brochures and 3 boxes of color brochures.

We can solve this system of equations by using any method of our choice, such as substitution or elimination. Here's how to solve it using elimination:

Multiply Equation 2 by -4 to get -12x - 12y = -480

Add this new equation to Equation 1 to eliminate y:

4x + 3y - 12x - 12y = 134 - 480

-8x = -346

Divide both sides by -8:

x = 43.25

Now we can substitute x = 43.25 into either Equation 1 or Equation 2 to solve for y:

4(43.25) + 3y = 134

3y = 39

y = 13

Therefore, the cost of one box of black-and-white brochures is $43.25 and the cost of one box of color brochures is $13.

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Answer:

376 millimeters

Step-by-step explanation:

you move the decimal once to the left meaning 37.6 is 376 mm

Answer:

62.5

Step-by-step explanation:

Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5

The moment of inertia of the solid cylinder grinding wheel is 0.014J.

Given values; Mass of grinding wheel, m = 2.80 kg

Radius of grinding wheel, r = 0.100 m

For calculating the moment of inertia of a solid cylinder about its central axis, the formula is;

I = (1/2)mr²

Here, m = Mass of cylinder r = Radius of cylinder I = Moment of inertia

Substitute the given values in the above formula to get the moment of inertia;

I = (1/2)mr²

I = (1/2)(2.80 kg)(0.100 m)²

I = (1/2)(2.80 kg)(0.010 m²)

I = 0.014 J

The moment of inertia of the given solid cylinder grinding wheel is 0.014 J.

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The system of linear equations which has the rank of coefficient matrix equal to augmented matrix and equal to the number of unknowns, has only one solution called the unique solution.

Two types of system of equations exist- consistent and inconsistent.

Inconsistent means that it has no solution , i.e. the solution does not exist , here

Rank of augmented matrix is not equal to that of coefficient matrix.

Consistent system means a solution of the equation exists i.e.

rank of augmented matrix = rank of coefficient matrix.

Now, a consistent system can be of two types again - It may have a unique solution ,i.e.

rank of augmented matrix = rank of coefficient matrix = no. of unknowns

or an infinite number of solutions, where

rank of augmented matrix = rank of coefficient matrix < no. of unknowns   (here we need to assign an arbitrary value to a free variable to find its solutions).

For e.g. let us consider the system -

x + y+ z = 0

2x + 3y + 4z = 1

Since , (0,0,0) is obviously satisfying the equation and so is a solution to this system , the given system is a consistent system .

Also, for a system to be consistent , either a unique solution exists or an infinite number of solutions exist. There is no particular number of solutions.

Here, we see that (-1,1,0) is also a solution other than the zero solution.

We can clearly see that the number of unknown variables , x,y,z is 3 and the number of equations is 2.

Thus, The system if there are fewer equations than variables has infinite solutions, equal number of equations as the unknowns has the unique solution.

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Answer:

n= 26.5

Step-by-step explanation:

Comment

You need some sort of formula for this question. But you more or less have to invent it.

Formula

Temperature midnight = noon - temperature drop

Givens

temperature drop = 28.4

temperature midnight = -1.9

Temperature noon = x

Solution

-1.9 = x - 28.4                       Add 28.4 to both sides

-1.9 + 28.4 = x-28.4+28.4    Combine

Answer

26.5 = x

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

Técnicas orales y de cálculo mental de multiplicación y división entera . ... conjunto de múltiplos de 10 es un subconjunto de los números pares. Si ... La clase vacía ∅ se representa por la notación 0, la clase unitaria por 1, la clase binaria por 2, etc. En ... 5 x (5 x (5 x (5 + 4) + 3 ) + 2) + 1 ; x significa el signo de multiplicar. 8.

Step-by-step explanation:

Técnicas orales y de cálculo mental de multiplicación y división entera . ... conjunto de múltiplos de 10 es un subconjunto de los números pares. Si ... La clase vacía ∅ se representa por la notación 0, la clase unitaria por 1, la clase binaria por 2, etc. En ... 5 x (5 x (5 x (5 + 4) + 3 ) + 2) + 1 ; x significa el signo de multiplicar. 8.

With a large, representative sample, the histogram of the sample data will follow the normal curve closely. The normal curve, also known as the bell curve or Gaussian distribution, is a symmetrical probability distribution that is characterized by its shape.

It is often used to model natural phenomena and is widely applicable in various fields, including statistics, physics, and social sciences.

When we say that the histogram of the sample data will follow the normal curve closely, it means that the distribution of values in the sample will resemble the shape of the normal curve. This is because the normal curve represents the most common pattern of distribution for many variables in the real world.

A large sample size is important because it allows for more precise estimation of the underlying population distribution. As the sample size increases, the histogram of the sample data becomes smoother and closer to the shape of the normal curve.

This is known as the central limit theorem, which states that the distribution of the sample means tends to be normal regardless of the shape of the population distribution, as long as the sample size is sufficiently large.

Moreover, a representative sample is crucial because it ensures that the sample is a fair representation of the entire population.

A representative sample is obtained by randomly selecting individuals or objects from the population, without any bias. This helps to reduce the possibility of obtaining skewed results that do not accurately reflect the population.

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The coordinates of C’ if the trapezoid is reflected across the y-axis is

(- 5, 3).

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

A reflection through the axis and is given by the following transformation rule:

(x, y) -------> (-x, y)

We have the following point:

C = (5, 3)

Now, Applying the transformation rule we have:

(5, 3) -------> (-5, 3)

So, C' is given by:

C '= (- 5, 3)

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Answer:

a

Step-by-step explanation:

a

The required cost of each apple, pear, and orange is $1.25, $0.85, and $1.05.

The equation is the values of two expressions that are equal.

Here,
Let the cost of each apple, pear, and orange be x , y and z recpectively
Basket A contains 3 apples, 2 pears, and 4 oranges and sells for $ 9.65,
3x + 2y + 4z = 9.65  - - - - - - (1)
Similarly,
For Basket B
4x +3y +3z = 10.70   - - - -- - - (2)
For Basket C
2x +2y +2z = 6.30  - - - - -- - (3)|
From equation 3
2x = 6.30 -2y - 2z
x = 3.15 - y - z  - - - - - -(A)
Put x in both equations 1 and 2
9.45 - 3y -3z + 2y + 4z = 9.65
-y + z = 0.20 - - - - (5)
12.6 - 4y - 4z + 3y + 3z = 10.70
-y - z = -1.9
y + z = 1.9
y = 1.9 - z   - - - (6)
Put y in equation 5
-1.9 + z + z = 0.20
2z = 2.10
z = 1.05

Put z in equation 6
y = 1.9 - 1.05
y = 0.85
Put x and z in equation A
x = 3.15 - 0.85 - 1.05 = 1.25
Here x = $1.25 , y = $0.85 and z = $1.05

Thus, the required cost of each apple, pear, and orange is $1.25, $0.85, and $1.05.

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Answer:

The shorthand that represent the contrapositive statement is  ~F → ~A

Step-by-step explanation:

The parameters given are;

If it is not a fruit, then it is not an apple

The above is a logic statement which can be rewritten as a conditional statement as follows;

If something is an apple then it is a fruit

Which gives

If p then q

Where:

A = Apple

F = Fruit

Therefore, when we write;

If something is not a fruit, then it is not an apple

We have

~F → ~A

Which is a contrapositive conditional statement

The shorthand that represent the contrapositive statement is therefore, ~F → ~A.

Answer:

C) JFG BECAUSE THAT IS WERE IT CROSSES AT

Answer:

the origen is where they all start

Answer:

Radius = 4.95 cm

Step-by-step explanation:

I am assuming you need the radius of the base of the cylinder.

Volume = 1.54 * 1000 = 1540 cm^3

Volume = πr^2h so:

1540 =  π*r^2*20

r^2 = 1540/20 π = 24.510

r = 4.95 cm.

The dollar price of china is $1,450 at the given exchange rate.

A US firm purchases some English China. The China costs 1,000 British pounds. The exchange rate is $1.45 = 1 pound. To find the dollar price of the china, we need to convert 1,000 British pounds to US dollars. Using the given exchange rate, we can convert 1,000 British pounds to US dollars as follows: 1,000 British pounds x $1.45/1 pound= $1,450. Therefore, the dollar price of china is $1,450.

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Answer:

ans = $105 per hour

Step-by-step explanation:

first: you subtract the charge for parts from the total and this gives you $446.25.

second: because the technician worked for 4.25 hours = $446.25,if the technician worked for an hour what would be the cost?

4.25hr = $446.25

1 hr      = x . then cross multiply.

4.25x = 446.25 then divide by 4.25 both sides to find th value of x, which is the cost of labour per hour

Answer: 96 in2

Step-by-step explanation: This is because u have to mutiple the two bases and the lateral sides to get your area

The surface area of the cube, in inches² is 96in²

The formula for calculating the surface area of a cube is expressed as:

S = 6L²

L is the side length of the cube

Given that L = 4in. Substitute the given parameter into the formula:

S = 6(4)²

S = 6(16)

S = 96in²

Hence the surface area of the cube, in inches² is 96in²

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Answer:

18 m

Step-by-step explanation:

11m + 7m is 18m
The final answer is 18m

The change in altitude of the kingfisher is 18 m.

The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

Suppose the distance above the cliff is represented by a positive integer.

Then the distance below it is represented by a negative integer.

Thus, change in altitude of the kingfisher

= 7-(-11)

= 7+11

= 18 m

Hence, the change in altitude of the kingfisher is 18 m.

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Answer: its d

Step-by-step explanation:

Given expression:

By taking L.C.M, we get

→ \(\frac{15(x+6)+7(x-6)}{(x-6)(x+6)}\)

→ \(\frac{15x+90+7x-42}{x^2-36}\)

→ \(\frac{22x+48}{x^2-36}\)

Thus the response above i.e., "option D" is correct.

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Answer:

The answer is "Option A".

Step-by-step explanation:

In this, the question is missing so, we assuming the missing question is this question, which is add in attach file. please find it.

Formula for line:

\(\to \bold{y= mx+ c}\)

\(\to m= slope \\\\\to c= y-intercept\)

In the question the slope "m= 3 and y= -2" so, the line is \(y= 3x+ (-2)\).

\(\to y= 3x-2\)

Answer:

4. (−4, 6), slope −2. eSolutions Manual - Powered by Cognero. Page 1. 4-2 Writing ... 4. (−4, 6), slope −2. SOLUTION: Find the y-intercept. Write the equation in ... Write an equation in slope-intercept form to find the total cost C for p people. b. ... b. Plot points and draw a line through them. c. Solve for G when t = 17.

Answer:

  D (0,4)​

Step-by-step explanation:

You want to know an ordered pair that could be added to the given relation such that it remains a function.

A function cannot have any two ordered pairs that have the same x-value. The given relation has x-values {1, 2, 3, 4}, so none of these can be repeated if the relation is to remain a function.

The only choice with a different x-value is ...

  D (0, 4)

__

Additional comment

The set of x-values is the "domain" of the function. It cannot have any repeats. The set of y-values is the "range" of the function. Those values can be repeated.

A function that is "one-to-one" cannot have any repeated range values, either.

<95141404393>

The correct answer is option C which is  \(\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right]\).

Matrix is defined as the arrangement of the numbers variables and expressions in the table as rows and columns.

The multiplication of the matrix will be calculated as:-

M = \(\dfrac{1}{2}\left[\begin{array}{cc}12&64&\\78&30&\\\end{array}\right]\)

M  =    \(\left[\begin{array}{cc}\dfrac{12}{2}&\dfrac{64}{2}&\\\dfrac{78}{2}&\dfrac{30}{2}&\\\end{array}\right]\)

M =     \(\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right]\).

Therefore the correct answer is option C which is  \(\left[\begin{array}{cc}8&32\\39&15&\\\end{array}\right]\).

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Answer:

3 and 2

Step-by-step explanation:

complementary means they add up to 90 degrees. Angle 3 and 2 equal 90 degrees,

Answer:

(-3, 5)

Step-by-step explanation:

This is because it is on the same point on the opposite side of the grid

-Please let me know if I am wrong so I can improve

- have a nice day

-3,5 is the answer for the other side

The derivative of y with respect to x is y' = (4sinx)' = 4cosx. The tangent line equation is y'(π/6) = 4cos(π/6) = 2√3. Expanding, the equation becomes y = 2√3x - (π√3/3) + 2. The slope of the tangent line is m = 2√3, and the y-intercept is b = -(π√3/3) + 2.

The curve given is y = 4sin x. Let's find the derivative of y with respect to x using the chain rule. y' = (4sinx)' = 4cosx

.The slope of the tangent to the curve at the point (π/6, 2) is therefore y'(π/6) = 4cos(π/6) = 2√3.The equation of a line in slope-intercept form is y = mx + b where m is the slope of the line and b is the y-intercept.

Using the point-slope form, the equation of the tangent line is:y - 2 = 2√3(x - π/6)

Expanding it, we obtain the equation in slope-intercept form: y = 2√3x - (π√3/3) + 2.

The slope of the tangent line is m = 2√3,

and the y-intercept is b = -(π√3/3) + 2.

The equation of the tangent line in the form y = mx + b is therefore y = 2√3x - (π√3/3) + 2.

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Answer:

see explanation

Step-by-step explanation:

Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 ), then

The x- coordinate of the vertex, which is also the equation of the axis of symmetry is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

y = x² + 12x + 32 ← is in standard form

with a = 1, b = 12 , then

\(x_{vertex}\) = - \(\frac{12}{2}\) = - 6

Substitute x = - 6 into y for corresponding y- coordinate

y = (- 6)² + 12(- 6) + 32 = 36 - 72 + 32 = - 4

Thus

equation of axis of symmetry is x = - 6

vertex = (- 6, - 4 )

To find the y- intercept , let x = 0

y = 0² + 12(0) + 32 = 32 ← y- intercept

The axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.

Important information:

Substitute \(x=0\) to find the y-intercept.

\(y=(0)^2+12(0)+32\)

\(y=32\)

The vertex form of a quadratic function is:

\(y=a(x-h)^2+k\)         ...(i)

Where a is constant, (h,k) is vertex and x=h is the axis of symmetry.

Adding and subtracting the square of half of coefficient of x, the given quadratic function can be written as:

\(y=x^2+12x+32+6^2-6^2\)

\(y=(x^2+12x+6^2)+32-36\)

\(y=(x+6)^2-4\)          ...(ii)

On comparing (i) and (ii), we get

\(a=1,h=-6,k=-4\)

Therefore, the axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.

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(5 , -2)

Step-by-step explanation:

mid point = ( (X1 + X2)/2 , (Y1 + Y2)/2 )

= ( (8 + 2)/2 , (-7 + 3)/2 )

= (5 , -2)