help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

4000 + 400x = 3750 + 450x

Step-by-step explanation:

The number of cars where the offer would be equal is 5 cars.

4000 + 400x = 3750 + 450x  Subtract 400x from both sides of the equation

4000 = 3750 + 50x  Subtract 3750 from both sides of the equation

250 = 50x  Divide both sides by 50

5 = x

If you sell less than 5 cars a month, take job A.  If you sell more than 5 cars a month, take job B.

Answer:

[tex]f(x)=x^3-9x^2+8x+60[/tex]

Step-by-step explanation:

The zeros of a function are the x-values when f(x) = 0.

Factor Theorem

If f(x) is a polynomial, and f(a) = 0, then (x – a) is a factor of f(x).

If the zeros of the polynomial are -2, 5 and 6 then (x + 2), (x - 5) and (x - 6) are factors of the polynomial.

Therefore, the polynomial in factored form is:

[tex]f(x)=a(x+2)(x-5)(x-6)[/tex]

where a is the leading coefficient.

Given a = 1:

[tex]f(x)=(x+2)(x-5)(x-6)[/tex]

Expand the parentheses to express the polynomial in standard form:

[tex]f(x)=(x+2)(x-5)(x-6)[/tex]

[tex]f(x)=(x^2-3x-10)(x-6)[/tex]

[tex]f(x)=x^3-6x^2-3x^2+18x-10x+60[/tex]

[tex]f(x)=x^3-9x^2+8x+60[/tex]

The screen of a tablet is shaped like a rectangle. then the area of the screen is 77 square inches.

What is the area of a rectangle?

If the length of the rectangle is 'l' and the breadth of the rectangle is 'b', then the area of the rectangle can be calculated as

                  Area = Length * Breadth

The length of the screen is 11 in. and the breadth of the screen is 7 in.

Then the area of the screen,

            Area = length * breadth

                     =  11 * 7

                     = 77 square inches.

Hence, the screen of a tablet is shaped like a rectangle. then the area of the screen is 77 square inches.

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Step-by-step explanation:

The total price of 3 pencils and 1 protractor at $3 was 4 times the total price of 1 pencil and 1 eraser at $0.60. What is the price of 1 pencil?​

when pencil = p

3p + 3 = 4(p + 0.6)

expand right side:

3p + 3 = 4p + 2.4

subtract 3 from both sides:

3p + 3 - 3 = 4p + 2.4 - 3

3p = 4p -0.6

subtract 4p from both sides:

3p - 4p = 4p -0.6 - 4p

-p = -0.6

divide both sides by -1:

(-p)/-1 = (-0.6)/-1

p = 0.6

so each pencil costs $0.60

Answer:

[tex]r = \dfrac{a}{b - pcos( \theta)} \\ \\ r \times (b - pcos( \theta)) = \dfrac{a}{ \cancel{b - pcos( \theta)}} \times \cancel{b - pcos( \theta)} \\ \\ a = r \times (b - pcos( \theta) \\ \\ a = rb - rpcos( \theta)[/tex]

Your answer is in bold below!

8.5 x 3 = 25.5

Answer: Her brother is 25.5 kg.

Step-by-step explanation:

If her brother is 3 times as heavy, we need to multiply 8.5 kg by 3.

8.5 kg times 3 is 25.5 kg.

The value of n for the given exponential function is 5/2.

Exponential function:

Exponential function means the function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

Here we have the exponential function (√7)⁵ = 7ⁿ

Now, we need to find the value of n.

Based on the rule of exponent, we have written the square as 1/2, like the following,

√7 = [tex]7^{\frac{1}{2}}[/tex]

So, when we apply these on the given expression then we get,

(√7)⁵ = [tex](7^{\frac{1}{2}})^5[/tex]

Now, we have to multiply both values on the power then we get,

=> [tex](7^{\frac{5}{2}})[/tex]

When we equate this with the RHS, then we get the value of n as,

[tex]= > (7^{\frac{5}{2}})=7^n[/tex]

Therefore, the value of n is 5/2.

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Answer: 3)

Could you please mark me as "Brainliest"

Answer:

3 times .. just multiply

Answer:210

Step-by-step explanation:

Answer:

1 17/18

Step-by-step explanation:

4 2/3 / 2 2/5 =

= 14/3 / 12/5

= 14/3 × 5/12

= 70/36

= 35/18

= 1 17/18

4 2/3 divided by 2 2/5 results to 35/18.

In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.

Given:

4 2/3 divided by 2 2/5

So, 14/3 divided by 12/5

= 14/ 3 x 5/ 12

= 7/3 x 5/6

= 35/ 18

Hence, 4 2/3 divided by 2 2/5 results to 35/18.

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The number of solutions of the system of equations is given by:

Zero.

The number of solutions of a system of equations is obtained considering the coefficients and the constants of each side of the expression.

If the sides have different coefficients, then it will guarantee that the solution has only one solution, as there will be a division by a term different of zero.

If the sides have the same coefficients and then different constants, as is the case in this problem, the number of solutions is of zero, as a number different of zero will be divided by zero.

If the sides have the same coefficients and the same constants, then the number of solutions is of infinity, as the equivalent solution will be obtained with a division of zero by zero, that can be any value.

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The probability that the lifetime of at least one component exceeds 2 is 0.135.

Given that the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image.

We want to find the probability that the lifetime of at least one component exceeds 2.

The probability that the lifetime of at least one component exceeds 2 is P(X>2).

[tex]\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}f(x,y)dydx\end[/tex]

Now, we will substitute the given function, we get

[tex]\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}xe^{-x(1+y)}dydx\end[/tex]

Further, we will simplify this, we get

[tex]\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\left[-e^{-x(1+y)\right]_{0}^{\infty}dx\\ &=\int_{x=2}^{\infty}e^{-x}dx\\ &=\left[-e^{-x}\right]_{2}^{\infty}\\ &=e^{-2}\\ &=0.135\end[/tex]

Hence, the probability that the lifetime of at least one component exceeds 2 for the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image is 0.135.

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Put different values of x in the function and find values of g(x). Then plot the points on a graph.

Graphing a function involves tracing the curve on a coordinate plane that corresponds to the function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

The given function is

g(x) = - 3x

Put x = - 3

g(x) = -3(-3)

g(x) = 9

Put x = - 2

g(x) = -3 (-2)

g(x) = 6

Put x = - 1

g(x) = -3 (-1)

g(x) = 3

Put x = 1

g(x) = - 3 (1)

g(x) = - 3

Put x = 2

g(x) = -3 (2)

g(x) = - 6

Plot the points on a graph, and keep the values of x on the x-axis and g(x) on the y-axis.

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The smallest possible sum for this series is 20736 = 12^4.

Given:

A series of 288 consecutive odd integers has a non-zero sum that is a perfect fourth power.

S = a + (a+2) + (a+4) + ... + (a+2*287) = 288(a+(a+574))/2 = 288(a+287)

288 = 2^5 * 3^2

smallest value of (a+287) that will make S = 288(a+287) a perfect fourth power is:

a + 287 = 2^3 * 3^2 = 72

a = −215

Smallest sum = 288*72 = 20736 = 12^4

Smallest odd integer in series = −215

−215 + −213 + −211 + ... + −1 + 1 + 3 + ... + 213 + 215 + ... + 359

= 20736 = 12^4.

Therefore the smallest possible sum for this series is 20736 = 12^4.

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The dimensions of the box are (S-2x)by(S-2x)byS =  2S/3 by 2S/3 S by S/6 to obtain a box with largest possible volume

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line. A surface, such as the boundary of a cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on it – for example, both a latitude and longitude are required to locate a point on the surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates are needed to locate a point within these spaces.

Let S = length of the sides of the square cardboard sheet.  Let x = the side of each square cut from the corners.  The volume, V, of the box when the sheet is folded up is:

V = (S-2x)(S-2x)x = 4x3 - 4Sx2 + S2x

To find the maximum value, take the derivative of V wrt x, set it to zero, and solve for x:

V ' = dV/dx = 12x2 - 8Sx + S2

0 = 12x2 - 8Sx + S2

0 = (6x-S)(2x-S)

x = S/6 and S/2

To determine which is the max and which is the min, take the second derivative of V wrt x.

V'' = d2V/dx2 = 24x - 8S

At x = S/2, V'' = 24(S/2) - 8s = 4S. Since S>0, the point x=S/2 is a minimum. This makes sense because you have cut away the entire cardboard square.

At x = S/6, V'' = 24(S/6) - 8S = -4S < 0, so x = S/6 is the maximum

The dimensions of the box are (S-2x)by(S-2x)byS =  2S/3 by 2S/3 S by S/6

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the moment of inertia is [tex]0.405 kgm^{2}[/tex] .

Given :

mass of rod (m) = 1.5kg

length of rod (l) = 1.8m

formula :

We know that moment of inertia of rod about it's center is

      [tex]I = ml^{2}/12[/tex]

I = (1.5)*(1.8*1.8)/12

I = 1.5*3.24/12

I = 4.86/12

I = 0.405  [tex]kgm^{2}[/tex]

hence, the moment of inertia of rod about its center is 0.405 [tex]kgm^{2}[/tex].

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The moment of inertia of the given condition is 0.405 kgm².

Given that,

Mass of the rod = 1.5 kg

Length of the rod = 1.8 m

A thin rod with mass M and length L has an axis running through its center, and the formula for its inertial momentum is given by,

I = ML²/12

I = 1.5*(1.8)²/12

I = 0.405 kgm²

Hence, the moment of inertia of the given condition is 0.405 kgm².

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The equation is 51 = x + 120 × 0.30 that can find the monthly base fee charged by Chitchat wireless.

The equation representing the scenario will be formed through following components.

Total bill = monthly base fee + number of minutes × cost per minute

In the above mentioned equation, let us assume the monthly base fee to be x. Now, keep the values in formula to find the value of x.

51 = x + 120 × 0.30

Performing multiplication on Right Hand Side of the equation

51 = x + 36

Rewriting the equation according to x

x = 51 - 36

Performing subtraction on Right Hand Side of the equation

x = 15

Thus, the monthly base fee is $15.

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The probability of getting a sum greater than 10 is 1/12.

From the question, we have

total outcomes = 6 ×6 = 36

Number of events of sum greater than 10: {5, 6}, {6, 5}, {6, 6} = 3

Probability = 3/36

=1/12

The probability of getting a sum greater than 10 is 1/12.

Probability:

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

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Using mensuration we know that the volume of the square-based pyramid is (1/3)(x^2h) cubic units.

So, if 'B' is the base and 'h' is the height of the pyramid,  its volume is V = (1/3) (Bh) cubic units.

Therefore, using mensuration we know that the volume of the square-based pyramid is (1/3)(x^2h) cubic units.

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For rolling four-sided die and a six-sided die, six-sided die have the lowest probability.

As per the state question-

Sample space for four-sided die = (1, 2, 3, 4).

Sample space for six-sided die = (1, 2, 3, 4, 5, 6).

The each outcome for the four-sided die will be 1/4 .

The each outcome for the six-sided die will be 1/6.

1/6 < 1/4

Thus, six-sided die have the lowest probability.

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The graph of the exponential function f(x) = (3/4)ˣ is attached below and this is also option A in the question given

An exponential graph is a curve that represents an exponential function. An exponential graph is a curve that has a horizontal asymptote and it either has an increasing slope or a decreasing slope. i.e., it starts as a horizontal line and then it first increases/decreases slowly and then the growth/decay becomes rapid.

In the given function

f(x) = (3/4)ˣ,

we can use a graphing calculator to plot the graph while applying the values from the table of function.

Comparing the graph plotted and the options given, the answer is option A

Kindly find the attached graph below

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If the individual outcomes of a phenomenon are uncertain, but there is nonetheless a regular distribution of outcomes in a large number of repetitions, this phenomenon is called random phenomenon.

A phenomenon is random if individual outcomes are uncertain, but there is in spite of that, a regular distribution of outcomes in a great number of repetitions.

The probability of any outcome of a random phenomenon can be

described as the proportion of times the outcome would happen in a very lengthy chain of repetitions.

The outcome of any individual coin toss is random. But the outcome over many tosses is foreseeable, as long as the trials are individualistic (i.e., the outcome of a new coin flip is not impacted by the outcome of the preceding flip).

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Answer:

PQR is a right triangle

Step-by-step explanation:

slope of the line that contains PQ = 0

Because the line is parallel to x axis

slope of the line that contains QR

(5-1)/(-6+2) = 4/-4 = -1

slope of the line that contains PR
(1-5)/(-2-2) = -4/-4 = 1

PR and QR are perpendicular so the triangle is right

The given equations, 2x + y = -3 and -2y = 6 + 4x, written in slope-intercept form is y = -2x - 3

From the question, we are to write the equations in slope-intercept form.

The given equations are

2x + y = -3

and

-2y = 6 + 4x

The slope-intercept form of the equation of a line is

y = mx + b

Where m is the slope

and b is the y-intercept

Writing 2x + y = -3 in slope-intercept form

2x + y = -3

Subtract 2x from both sides of the equation

2x - 2x + y = -3 - 2x

y = -3 - 2x

y = -2x - 3

Writing -2y = 6 + 4x in slope-intercept form

-2y = 6 + 4x

Divide through by -2

-2y/-2 = 6/-2 + 4x/-2

y = -3 - 2x

y = -2x - 3

Hence, the equation is y = -2x -3

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The fraction 1/4th of the animals at the Jackson Zoo are monkeys.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

At the Jackson Zoo, 1/2 of the animals are primates

So if x is the total animals in that zoo, total primates are x/2.

Now out of them, 1/2 are monkeys i.e  1/2 of x/2

= x/4.

Hence 1/4 th fraction of the animals at the Jackson Zoo are monkeys.

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Step-by-step explanation:

3900 if by hundreds

If by thousands 4000

Part A:

After adding the meals tax we get the total bill as $27.32

Part B:

After adding the tip the total lunch cost was 432.24, hence the percentage of tip he gave is 18%

Tax

Meal plus tax = 25.3 + 8/100 * 25.3

Meal plus tax = 25.3 + 2.024             Round later. Find the total.

Meal plus tax = 27.324

Meal plus tax = 27.32 rounded to the nearest cent.

Tip

Total cost = $32.242

tip = 32.242 - 27.324

percentage of tip= 4.918

= 18%

Hence we get the required answers.

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