(2x³ - 10x² + 4x - 20) / (x - 5) = ?

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

Step-by-step explanation:

for n ∈ N

Since Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping.

∴ the probability that Actuary Rahul examines exactly n policies

\((0.9)^{n-1}.(0.1)---(1)\)

the probability that Actuary Toby examines more than  exactly n policies

\((0.8)^n---(2)\)

Given that policies are actually independent

∴ the probability that the event  (1) and (2) happens simultaneously is

\((0.9)^{n-1}*(0.1)*(0.8)^n\)

∴  the probability that Actuary Rahul examines fewer policies than Actuary Toby

\(\sum ^\infty _{n=1} (0.9)^{n-1}*(0.1)*(0.8)^n\\\\=(\frac{0.1}{0.9} \sum ^\infty _{n=1}(0.72)^n\\\\=\frac{1}{9} (\frac{0.72}{0.28} )\\\\=\frac{2}{7} \\\\=0.2857\)

Answer:

En el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables que se definen son:

Entonces, el hotel dispone en total de 50 habitaciones, por lo que se plantea la ecuación:

x + y= 50

El hotel dispone de 87 camas. La cantidad de camas por habitación puede ser expresada mediante:

x + 2*y= 87

Entonces el sistema de ecuaciones a resolver es:

\(\left \{ {{x+y=50} \atop {x+2*y=87}} \right.\)

El método de sustitución consiste en despejar o aislar una de las incógnitas, por ejemplo x , y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y ya conocido.

En este caso, despejando x de la primer ecuación:

x= 50 -y

y reemplazando en la segunda ecuación obtienes:

50 -y + 2*y=87

-y + 2*y=87 -50

y= 37

Reemplazando en la expresión x= 50 -y obtienes:

x= 50 -37= 50-37

x= 13

Recordando que x representa la cantidad de habitaciones sencillas e y la cantidad de habitaciones dobles, en el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.

(a) Since \(g(x)=\sqrt[3]{x}\) and \(h(x) = \frac1{x^3}\), we have

\((g\circ h)(x) = g(h(x)) = g\left(\dfrac1{x^3}\right) = \sqrt{3}{\dfrac1{x^3}} = \dfrac1x\)

We're given that

\((f \circ g \circ h)(x) = f(g(h(x))) = f\left(\dfrac1x\right) = \dfrac x{x+1}\)

but we can rewrite this as

\(\dfrac x{x+1} = \dfrac{\frac xx}{\frac xx + \frac1x} = \dfrac1{1+\frac1x}\)

(bear in mind that we can only do this so long as x ≠ 0) so it follows that

\(f\left(\dfrac1x\right) = \dfrac1{1+\frac1x} \implies \boxed{f(x) = \dfrac1{1+x}}\)

(b) On its own, we may be tempted to conclude that the domain of \((f\circ g\circ h)(x) = \frac1{1+x}\) is simply x ≠ -1. But we should be more careful. The domain of a composite depends on each of the component functions involved.

\(g(x) = \sqrt[3]{x}\) is defined for all x - no issue here.

\(h(x) = \frac1{x^3}\) is defined for all x ≠ 0. Then \((g\circ h)(x) = \frac1x\) also has a domain of x ≠ 0.

\(f(x) = \frac1{1+x}\) is defined for all x ≠ -1, but

\((f\circ g\circ h)(x)=f\left(\frac1x\right) = \dfrac1{1+\frac1x}\)

is undefined not only at x = -1, but also at x = 0. So the domain of \((f\circ g\circ h)(x)\) is

\(\left\{x\in\mathbb R \mid x\neq-1 \text{ and }x\neq0\right\}\)

Answer:

She has to save $48 dollars each week

Step-by-step explanation:

For this equation, all you have to do is divide 720 dollars by 15 weeks, or 720 divided by 15. That gets you your answer of 48.

Hope this helps!

Answer:

$905

Step-by-step explanation:

$50×h+55=?

h=17 and you pay so $50×h

so $50×h=850

so now that you calculated the cost of the labor add the $55 dollar service fee

850+55=905

Answer:

D

Step-by-step explanation:

Answer:

C) added to the book balance

Step-by-step explanation:

It was never subtracted from the bank balance

The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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Answer:

Y-intercept=5 Slope=-1/4

Step-by-step explanation:

Plot a point on (0,5)

From that point, you can either go down 1 point and right 4 points, or you can go up 1 point and go left 4 points.

Whichever one you choose, plot a point after each 2 movements

if this is too confusing, another point would be (4, 4) then make a line through both points.

The estimated profits for each company are given as follows:

Jones Corporation:

Davis Company:

The function that defines the profit for Jones Corporation is an exponential function defined as follows:

y = 10(0.99)^t

In which t is the number of years since 2015, while the profit is measured in millions of dollars.

Thus the coefficient a = 10 means that the estimated profit for the year of 2015 is of 10 million dollars.

For the year of 2025, that is, 10 years after 2015, the estimate is calculated as follows:

y = 10(0.99)^10 = 9.084821 = $9,084,821.

For Davis Company, the profit function is given as follows:

y = 8(1.01)^t.

Hence the profits are modeled as follows:

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ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Answer:

2.15384615385

Step-by-step explanation:

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

I am willing to help you, Geometry is my best class.

Step-by-step explanation:

Answer:

I can help on insta

Step-by-step explanation:

Answer:

9.40L

Step-by-step explanation:

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer 230

Step-by-step explanation:

Add the area of the rectangle (160) to the area of the triangles (70 (35 each))

Area of a triangle 1/2bh

Answer:

the answer is $1,560(d)

With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.

To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.

Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:

Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound

Cost of one ounce of flour = $12 / 16 ounces

Cost of one ounce of flour = $0.75

Therefore, the cost of one ounce of flour is $0.75.

To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:

Number of ounces of flour = Total money / Cost of one ounce of flour

Number of ounces of flour = $3.30 / $0.75

Number of ounces of flour ≈ 4.4 ounce

Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.

In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.

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Answer:

The data in shelter A show more spread than the data in shelter B.

Step-by-step Explanation:

Judging from the data set given for shelter A and shelter B in the diagram of the box plots attached below, shelter A has a data set that ranges from 8 pounds to 30 pounds, while shelter B ranges from e can infer that the data in shelter A has more spread than the data in shelter B ranges from 10 to 28.

Taking into consideration the range of the data set of each shelter, shelter A obviously has a larger range compared to shelter B. This implies that, the data in shelter A show more spread than the data in shelter B.

Answer:

A

Step-by-step explanation:

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:

divide 90 and 30 to see what you got

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

the frequency is the number of students. Add the frequency for 30-39 and 40-49, which is 2+1 =3

Answer:

a=-3

b=-63

c= 2

d=8

e=9

f=128

h=-21

i=24

Step-by-step explanation:

627 x 26 equals 16,302 when solved using the standard algorithm.

The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:

627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.

Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.

1254 -- a 6 x 7 partial product

1254 -- a half 6 x 2 product

Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.

1254 x 627

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Answer:

Following are answer to these question:

\(\LARGE H_0: p = 30 \%\\\\\LARGE H_A: p < 30 \%\)

Step-by-step explanation:

Even though researchers try and check whether the real percentage of all companies announcing one or more purchases that year 2000 is less than 30%, the invariant hypothesis therefore becomes as follows:

\(\LARGE H_0: p = 30 \%\\\\\LARGE H_A: p < 30 \%\)

By simplificatiοn, the values οf the determinants are D = -13, Dx = -11, Dy = -60

A determinant is a scalar value assοciated with a square matrix. The determinant οf a matrix can be used tο determine whether a matrix is invertible (i.e., has an inverse matrix) and whether a system οf linear equatiοns has a unique sοlutiοn, nο sοlutiοn, οr infinitely many sοlutiοns.

For a 2x2 matrix A =  \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\), the determinant is calculated as det(A) = ad - bc

To solve the system of equations using determinants, we need to set up the following matrix:

\(\left[\begin{array}{ccc}3&5\\2&-1\\\end{array}\right]\)

The determinant οf this matrix (D) is fοund by using the fοrmula:

D = (3)(-1) - (5)(2) = -13

Tο find the value οf Dx, we replace the x-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}27&5\\-8&-1\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dx = (27)(-1) - (5)(-8) = -11

Tο find the value οf Dy, we replace the y-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}3&27\\2&-8\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dy = (3)(-8) - (27)(2) = -60

Therefore, the values οf the determinants are:

D = -13

Dx = -11

Dy = -60

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