What is 1.25 divided by 15

Area of the rectangle is 15\(x^{11}\) - 27\(x^{7}\) - 21\(x^{5}\) + 6\(x^{4}\).

To find the area of the rectangle, we need to multiply its length by its width. In this case, the width is given as 3x^4, and the length is given as 5\(x^{7}\)-9\(x^{3}\)-7x+2. Therefore, the area of the rectangle can be calculated as:

Area = width x length

Area = 3\(x^{4}\)(5\(x^{7}\)-9\(x^{3}\)-7x+2)

To simplify this expression, we need to distribute the 3x^4 term into the parentheses:

Area = 15\(x^{11}\) - 27\(x^{7}\) - 21\(x^{5}\) + 6\(x^{4}\)

This is the final expression for the area of the rectangle in terms of x. We can see that the degree of the polynomial is 11, which means that the area of the rectangle is a high-degree polynomial. The area also contains both positive and negative terms, which means that it can take on both positive and negative values depending on the value of x.

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A curvilinear term in mathematics is "Consisting of, bounded by, or characterized by a curved line." However, the definition of a quadratic is a second-order polynomial equation in a single variable \(0= ax^{2}+bx+c\) with

\(a\neq 0\). A quadratic is a curvilinear term according to my definition, but a function like \($x^{4}$\) would also fit the definition of curvilinear. So, your answer is

False, a quadratic and a curvilinear term are not the same.

False, a curvilinear term is more broad, but quadratics have specific restrictions.

The equation that can be used to find x, the number of spotlights the committee rented is x * C = 800

To solve a first-degree equation, we must find the value of the unknown (which we will call x) and, for this to be possible, just isolate the value of x in equality, that is, x must be alone in one of the members of the equation.

Since the committee spends $800 on spotlights, we can set up the equation:

\(x * C = 800\)

In this equation, x is the number of spotlights rented and C is  the cost per spotlight.

This equation allows us to find the value of x, the number of spotlights rented, by substituting the appropriate value for C.

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Answer:

504

Step-by-step explanation:

To find the answer, simply write the number 84 six times and then add the  numbers together.

Step-by-step explanation:

f(x) = 1

f(-2) = 1

Constan function f(n) = k, n and k elemen real

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. \(\sqrt{2}x= 2r\)    [Diagonal of square = \(\sqrt{2}\)(side)]

i.e. \(r=\dfrac{x}{\sqrt{2}}\)

area of circle =\(\pi r^2\)

i.e. \(56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2\)

\(56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970\)

Hence, the value of x is 5.970.

∫(0 to π/2) ∫(0 to sqrt(4-z)) ∫(0 to 4-r²) 9(r³*cos(θ)³ + r³*cos(θ)*sin(θ)²)r dr dθ dz. By solving this triple integral, we'll find the value of the given expression in cylindrical coordinates.

To evaluate the given integral in cylindrical coordinates, we first need to convert the given expression and region of integration from Cartesian coordinates to cylindrical coordinates. In cylindrical coordinates, we have x = r*cos(θ), y = r*sin(θ), and z = z. The given expression becomes:

9(x³ + xy²)dV = 9(r³*cos(θ)³ + r³*cos(θ)*sin(θ)²)r dr dθ dz

Now, let's find the bounds of integration for the solid E. Since it lies in the first octant and beneath the paraboloid z = 4 - x² - y², we have:

0 ≤ z ≤ 4 - r²*cos(θ)² - r²*sin(θ)²
0 ≤ r ≤ sqrt(4 - z)
0 ≤ θ ≤ π/2

Now we can set up and evaluate the integral:

∫(0 to π/2) ∫(0 to sqrt(4-z)) ∫(0 to 4-r²) 9(r³*cos(θ)³ + r³*cos(θ)*sin(θ)²)r dr dθ dz

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Answer:15

Step-by-step explanation:

Answer:

Please mark as BRAINLIEST

Step-by-step explanation:

2) 1/5 = 3/15

4) 3/5 = 6/10

6) 8/9 = 32/36

8) 2/9 = 36/162

10) 5/12 = 30/72

12) 6/17 = 18/51

14) 9/15 = 3/5

16) 32/48 = 2/3

18) 54/72 = 3/4

20) 20/45 = 4/9

22) 3/4 = 24/32

Answer:

10^3

Step-by-step explanation:

Answer:

-2.8

Step-by-step explanation:

Gradient/slope = \(\frac{-11 - 3}{3--2}\) (change in y / change in x)

= \(\frac{-11 - 3}{3+2}\) =\(\frac{-14}{5}\)= -2.8

The total number of donations in September representing total collected amount $479.25 at the end of September month is equal to 14.

Let x be the number of donations Lukas collects in the month of September.

Collection of donations by Lukas in the month of August = $230.75

Total donations collected by Lukas at the end of September month = $479.25

In September, Lukas collected $17.75 for each donation,

And he collected x donations.

The total amount of donations he collected in September is equal to,

17.75x

The total amount of donations Lukas collected by the end of September is written as,

230.75 + 17.75x = 479.25

Subtract 230.75 from both sides of the equation we get,

⇒ 17.75x = 248.50

Divide both sides of the equation by 17.75  we have,

⇒ x = 14

Therefore, the total number of donations collected by Lukas in September month is equal to 14.

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Answer:

1. (2.2, -1.35) and (2.2, -1.4)

2. y = 8x - 7

3. infinite number of solutions

4. (2.2,-1.4) (2.2,-1.35)

5. 6

6. (1.33,1)

Step-by-step explanation:

(a) The probability that a randomly selected customer spends less than 65 minutes at the gym is 0.4013. (b) The expected value and standard deviation (standard error) of the sample mean of the time spent at the gym is 2.857 minutes

a) The probability that a randomly selected customer spends less than 65 minutes at the gym is calculated using the standard normal distribution formula.

z = (x - μ) / σ

where,μ = 70 minutes, σ = 20 minutes, x = 65 minutes

Substituting the given values, we get

z = (65 - 70) / 20

z = -0.25

Using a standard normal table or calculator, the probability that a randomly selected customer spends less than 65 minutes at the gym is 0.4013.

b) The standard deviation (standard error) of the sample mean can be calculated using the formula:

SE = σ/√n

where,σ = 20 minutes, n = 49

Substituting the given values, we get

SE = 20/√49

SE = 2.857 minutes

Therefore, the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym is 2.857 minutes, respectively.

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Answer:

a

Step-by-step explanation:

the answer is a because adding -3 to 12 will make 9 and -3 × 12 is -36.

Answer:

\(m\angle N=57^{\circ}\)

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares \(LM\cong LN\), the remaining unknown angles are equal (\(m\angle N=m\angle M\)). The sum of the interior angles of a triangle always add up to \(180^{\circ}$\).

Therefore:

\(m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}\) .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

60

Step-by-step explanation:

x and 2x are co - interior angles, sum of co - interior angles is 180,

x + 2x = 180

3x = 180

x = 180 / 3

x = 60

Answer:

Step-by-step explanation:

Given function:

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

The given function has:

Find the value of b:

The function is:

The y-coordinate of the vertex is:

Answer:

Solution given:

y = -x² + bx + 3

we have

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

x = \( \frac{ - b}{2a} \)

we have

x = 10, and a = -1

Substituting value of a in -b/2a

we get

b = 20

now

The y-coordinate of the vertex is:

y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.

Answer:

2.meters

Step-by-step explanation:

Lenght of ladder = 4 m

θ = 30°

To obtain h;

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Hypotenus = 4 ; opposite = h

Sin 30 = h / 4

0.5 = h / 4

h = 0.5 * 4

h = 2 m

Hence, distance between th efoot of ladder and the base of the wall is 2 m

Answer: look at the picture

Step-by-step explanation: Hope this help :D

The dimensions (in m) of the cardboard box with the largest volume is obtained as 2 m length.

Dimensions of piece of cardboard;

Let the corner cut length be 'x',

New dimensions;

Volume = length x width x height

Put the values;

V = ( 8 - 2x ) (4 - 2x) x

Find the solution of the obtained quadratic equation by quadratic formula.

x = 0, 2 and 4.

As, x ≠ 0 and 4.

Thus, x = 2.

Thus, the dimensions (in m) of the box with the largest volume is obtained as 2 m length.

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Yes, the implications of leaving farm fields unused for the economy's PPF diagram can be seen in the output of agricultural products.

The PPF diagram shows the maximum output of two products that an economy can produce at a given time, and it is shaped like a curve. When farm fields are left unused, the amount of agricultural products that can be produced is decreased, resulting in a shift in the PPF curve inwards. This means that the economy has to sacrifice other goods to maintain the same level of production of agricultural products, leading to an opportunity cost. Thus, leaving farm fields unused has implications for the economy's PPF diagram, as it reduces the output of agricultural products, resulting in a shift in the PPF curve inwards.

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Yes, the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks. This is because the line is the line of best fit

From the question, we are to determine if the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks

In the graph, we have a scatterplot.

The line drawn is the line of best fit

Hence,

Yes, the line can be used to make reasonable predictions of the number of cheese pizzas that would be sold in the upcoming weeks. This is because the line is the line of best fit.

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The equation of the parabola is y = ( 4/3 ) ( x + 1 )² + 4

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of parabola be represented as A

Now , the value of A is

Let the vertex of the parabola be V

Now , the coordinates of P is V ( -1 , 4 )

and , equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

On simplifying , we get

y = a ( x - ( - 1 ) ) + 4

y = a ( x + 1 )² + 4

Now , the point on the parabola is given by P ( 2 , 16 )

On simplifying , we get

when x = 2 and y = 16

16 = a ( 2 + 1 )² + 4

16 = 9a + 4

12 = 9a

a = 4/3

So , the the value of a is 4/3

And , the equation is g ( x ) = ( 4/3 ) ( x + 1 )² + 4

Therefore , the value of g ( x ) is ( 4/3 ) ( x + 1 )² + 4

Hence , the equation of parabola is g ( x ) = ( 4/3 ) ( x + 1 )² + 4

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Answer:

12 hours

Step-by-step explanation:

For Ravi,

12 hours = 1 job

Given this, we can figure out how much Ravi does in 6 hours, and from that, we can figure out how much Raman can do in 6 hours. Finally, we can use that to figure out how many hours it would take for Raman to do the job.

12 hours = 1 job

First, to find how much Ravi does in 6 hours, we need to make the equation

6 hours = something

To do this, we know that 12/2 = 6, so we can divide both sides by 2 in the original equation to get

6 hours = 1/2 job.

Therefore, in 6 hours, Ravi does 1/2 of the job. As Raman and Ravi do the job in 6 hours, Raman must do the remaining work, or 1-1/2 = 1/2 of the job in 6 hours.

Therefore, for Raman,

6 hours = 1/2 job

We need to make the equation so that

1 job = something, as that something would be how many hours it would take for Raman to do the job. We know that 1/2 * 2 = 1, so we can multiply both sides by 2 to get

12 hours = 1 job for Raman.

Answer:

I think the answers is 27, just add all of those squares.

There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.

If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:

C(n + k - 1, k - 1)

where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:

C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)

There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:

C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55

Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars

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Answer:

Isosceles triangle basically has two equal sides and angles opposite to these equal sides are also equal.Therefore

50° = 2x°

50/2 = x

25 = x

There fore value of x is 25.

so,angle B = 2 × 25

hence angle B is 50

That's all i can solve, I'm also kinda stuck.

hope this helped