Expand and simplify (x - 5)(x - 2)(x - 1)

Answer:

3x + 1

Step-by-step explanation:

Answer:

3x + 1

Step-by-step explanation:

Answer:neither are functions

Step-by-step explanation:

Functions don't have repeated x

Answer:

Your answer is: No solution

Step-by-step explanation:

Hope this helped : )

Answer:

7 cups of water

Step-by-step explanation:

Divide 56 by 24

56/24 = 2 1/3

Multiply this by the cups of water wasted every 24 hrs

2 1/3 x 3 = 7

your answer is 456 just calculate it up

To solve the equation and find the radius, we need to rewrite it in the form of a circle equation, which is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.

Given equation: x² + y² + 2x - 10y + 8 = 8y - 46

To rewrite the equation in the form (x - h)² + (y - k)² = r², we complete the square for both the x and y terms:

[tex]\sf\:(x^2 + 2x) + (y^2 + 10y) = 8y - 46 - 8 \\[/tex]

Completing the square for x terms:

[tex]\sf\:x^2 + 2x = (x + 1)^2 - 1 \\[/tex]

Completing the square for y terms:

[tex]\sf\:y^2 + 10y = (y + 5)^2 - 25 \\[/tex]

Substituting the completed square forms into the equation:

[tex]\sf\:(x + 1)^2 - 1 + (y + 5)^2 - 25 + 8 = 8y - 46 - 8 \\[/tex]

Simplifying the equation:

[tex]\sf\:(x + 1)^2 + (y + 5)^2 = 8y - 46 - 8 + 1 + 25 - 8 \\[/tex]

[tex]\sf\:(x + 1)^2 + (y + 5)^2 = 8y - 36 \\[/tex]

Now we can see that the equation is in the form of (x - h)² + (y - k)² = r², where h = -1, k = -5, and r² = 8y - 36. Therefore, the radius is [tex]\sf\:\sqrt{8y - 36} \\[/tex].

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:

y=-1/2x+5

x=-2y+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  

y − y 1 = m ( x − x1 ) to find the line perpendicular to  y = 2 x+ 2.

To solve for x you -5 from both sides to get y-5=-1/2x then multiply both sides by -2 to get -2y+10=x which is the same as x=-2+10

Answer:

b = 30

Step-by-step explanation:

1/4 (8b-80) +b = 70

2b - 20 + b = 70

3b = 90

b = 30

Answer:

B

Step-by-step explanation:

Dude trust me

The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

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Answer:

[tex]d=8.9[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(4-0)^2+(-4-4)^2}[/tex]

[tex]d=\sqrt{(4)^2+(-8)^2}[/tex]

[tex]d=\sqrt{16+64}[/tex]

[tex]d=\sqrt{80}[/tex]

[tex]d=4\sqrt{5}[/tex]

[tex]d=8.94427[/tex]

[tex]d=8.9[/tex]

2) the volume of a cone is 33,166.25 cm³`

3) the volume of a cylinder is 4.5 m³

4) the volume of the pan is `576 cm³`.

Here are the solutions to the given problems:

2) The formula for the volume of a cone is given by the formula;

`V=(1/3)πr²h`.

Here,`h=40 cm`

and the slant height is `50 cm`.

Using Pythagoras Theorem, we get the radius of the base of the cone;

`l² = r² + h²`

`r² = l² - h²

= (50 cm)² - (40 cm)²`

`r² = 2500 cm²`

The volume of the cone is;

`V = (1/3)πr²h`

`V = (1/3)π(2500 cm²)(40 cm)`

`V = 33,166.25 cm³`

3) The formula for the volume of a cylinder is given by the formula;

`V=πr²h`.

Here, the area of the base of the cylinder is `9π/4 m²`.

Then, the radius of the cylinder is;`A = πr²`

`(9π)/4 = πr²`

`r² = (9π)/(4π)`

We have;

`V=πr²h`

`V=(9π)/(4π)(2 m)`

`V = 4.5 m³`

4) The volume of the pan is given by the formula;

`V = l × b × h`

where `l = 12 cm`, `b = 12 cm`, and `h = 4 cm`.

Therefore;`V = 12 cm × 12 cm × 4 cm`

`V = 576 cm³`.

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Answer:

35

Step-by-step explanation:

4 times 8 +3=35

Answer:

$1.75

Step-by-step explanation:

Answer:

$1.75

7*25=175

add decimal point

Answer:

Para las siguientes fórmulas se tiene la siguiente notación:

\displaystyle I : Interés

\displaystyle C : Capital inicial

\displaystyle i : Tasa de interés

\displaystyle t : Tiempo

\displaystyle F : Capital final (o valor futuro)

Así, las fórmulas relacionadas con el cálculo de interés simple, cuando la tasa de interés y el tiempo utilizan la misma unidad de tiempo, son:

\displaystyle  I= C \cdot t \cdot i

\displaystyle  t=\frac{I}{C \cdot i}

\displaystyle C=\frac{I}{t \cdot i}

\displaystyle  i=\frac{I}{C \cdot t}

\displaystyle  F = C+I

Notemos que si el tiempo y el interés utilizan unidades distintas, entonces tendremos que hacer las conversiones apropiadas antes de utilizar las fórmulas.

Ejercicios propuestos de calculo de intéres

1 ¿Durante cuánto tiempo ha de imponerse un capital de 25 000 € al 5% para que se convierta en 30.000 €?

Solución

2 Se prestan 45 000 € y al cabo de un año, 4 meses y 15 días se reciben 52 500 €.

Calcular el interés como porcentaje.

Solución

3 Hallar la tasa de interés simple (como porcentaje) al que deberá prestarse un capital para que al cabo de 20 años los intereses sean equivalentes al capital prestado.

Solución

4 ¿En cuánto tiempo el interés será igual al triple del capital inicial colocado a una tasa de interés al 6%?

Solución

5 Hallar el interés producido durante cinco años, por un capital de 30 000 €, al 6%.

Solución

6 Calcula el capital final después de seis meses, dado un capital inicial de 10 000 € y una tasa del 3.5%

Answer:

21 bags. 1 Jolly rancher in each bag and 2 tootsie rolls on each bag.

In a binomial experiment with n trials and probability of success p, if n is large and/or p is close to 0.5, the binomial random variable X is approximately normal with μX = np and σX = sqrt(np(1-p)).

In a binomial experiment with n trials and probability of success p, if n is large and/or p is close to 0.5, the binomial random variable X is approximately normal with μX = np and σX = sqrt(np(1-p)). A binomial experiment involves a fixed number of independent trials (n) each having the same probability of success (p).The binomial distribution is a discrete probability distribution that describes the probability of success in a binomial experiment. When the sample size is large, the binomial distribution may be approximated by the normal distribution.This is because the normal distribution is continuous, whereas the binomial distribution is discrete. If the sample size is large enough, the binomial distribution can be well approximated by the normal distribution. For this approximation to work well, n should be large and p should be close to 0.5.When the binomial distribution is approximated by the normal distribution, the mean of the binomial distribution, which is np, is also the mean of the normal distribution. The standard deviation of the normal distribution is the square root of np(1-p).

In summary, when n is large and/or p is close to 0.5, the binomial random variable X is approximately normal with μX = np and σX = sqrt(np(1-p)).

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the 10's complement of 000000 is 999999.

The 10's complement of a number is given by subtracting each digit from 9.

Let us obtain the 10's complement of the given six-digit decimal numbers:123900

First, we need to subtract each digit of 123900 from 9:9 - 1 = 89 - 2 = 78 - 3 = 67 - 9 = 09 - 0 = 99 - 0 = 9

Therefore, the 10's complement of 123900 is 876100.090657

First, we need to subtract each digit of 090657 from 9:9 - 0 = 99 - 0 = 99 - 6 = 39 - 5 = 49 - 7 = 29 - 5 = 4

Therefore, the 10's complement of 090657 is 909343.100000

First, we need to subtract each digit of 100000 from 9:9 - 1 = 89 - 0 = 99 - 0 = 99 - 0 = 99 - 9 = 09 - 9 = 0

Therefore, the 10's complement of 100000 is 900000.000000

First, we need to subtract each digit of 000000 from 9:9 - 0 = 99 - 0 = 99 - 0 = 99 - 0 = 99 - 0 = 09 - 0 = 0

Therefore, the 10's complement of 000000 is 999999.

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Answer:

2/5 or 2 over 5

Step-by-step explanation:

y2-y1 over x2-x1 gives you your slope

Answer:

C

Step-by-step explanation:

I think that the planets will keep orbiting the sun but i think the planets might cross paths with the new star.

Answer:

CP = 4500

SP = 5175

As the SP is greater than the CP, it is a profit

Profit = 675

Profit percent = (Profit / CP) * 100

=> (675/4500) * 100

=> 675/45 (As the 2 zeros of hundred in the numerator is cancelled by the 2 zeros of the 4500 in the denominator)

=> 15 (Once you divide 675 by 45)

=> 15 % profit

Therefore, Profit = 15 %

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The probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.

To calculate the probability that a randomly selected carton has a weight greater than 12.31 ounces, we can use the z-score and the standard normal distribution.

(a) Probability for a single carton:

Step 1: Calculate the z-score using the formula: z = (x - μ) / σ

Where:

x = 12.31 (the given weight)

μ = 12 (mean weight)

σ = 0.5 (standard deviation)

z = (12.31 - 12) / 0.5 = 0.62

Step 2: Find the probability associated with the z-score using a standard normal distribution table or a calculator. The probability of a weight greater than 12.31 ounces is equivalent to finding the area to the right of the z-score of 0.62.

Using a standard normal distribution table or calculator, the probability is approximately 0.2676.

Therefore, the probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.

Note: Make sure to round the result to four decimal places as requested.

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Answer:

Step-by-step explanation:

1.

[tex] \frac{15}{3} + 2 = 15 \div (3 + 2) \\ 5 + 2 = 15 \div 5 \\ 7 = 3 \\ false[/tex]

2.

[tex] \frac{15}{3 + 2} = 15 \div 5 \\ \frac{15}{5} = 15 \div 5 \\ 3 = 3 \\ true[/tex]

The result x(t) = 13t is a solution of the differential equation dx/dt = kx where k = 1/t

In this question, we are given a differential equation dx/dt = kx.

This equation is called a first-order homogeneous linear differential equation.

This means that the highest derivative that appears in the equation is the first derivative, and there are no nonlinear terms.

The coefficient k is a constant that represents the rate at which the quantity x(t) changes with respect to time t.

Given the differential equation

dx/dt = kx

And,

x(t) = 13t is a solution

We need to find k.

In order to find the value of k, we differentiate the given solution with respect to time t and equate it to the given differential equation.

dx/dt = d/dt (13t)

= 13

Substituting the value of x and dx/dt in the differential equation, we get:

13 = k (13t)

⇒ k = 1/t

Therefore, k = 1/t.

Substituting the value of k in the given differential equation, we get:

dx/dt = (1/t) x .............................(1)

Now, let’s verify whether x(t) = 13t is a solution of the differential equation (1).

LHS of (1) = d/dt (13t)

= 13

RHS of (1) = (1/t) (13t)

= 13

Therefore, x(t) = 13t is a solution of the differential equation dx/dt = kx where k = 1/t

To find a particular solution of the differential equation, we are given that x(t) = 13t is a solution.

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Answer:

r=37(being vertically opposite angle)

(a) P(z < -0.83) = 0.7967

(b) P(z > 1.07) = 0.1423

(c) If P(z > a) = 0.2033, then a = 0.84

To find the probabilities using the ∠-table (cumulative probabilities under the standard normal distribution), follow these steps:

(a) P(z < -0.83):

Look up the value -0.8 in the leftmost column of the table and the value 0.03 in the top row. The corresponding value in the table is 0.2033. Since the table provides values for positive z-scores, we can use the symmetry property of the standard normal distribution to find the desired probability:

P(z < -0.83) = 1 - P(z < 0.83) = 1 - 0.2033 = 0.7967

(b) P(z > 1.07):

Look up the value 1.0 in the leftmost column of the table and the value 0.07 in the top row. The corresponding value in the table is 0.8577. Since the table provides values for positive z-scores, we need to find the complement of the desired probability:

P(z > 1.07) = 1 - P(z < 1.07) = 1 - 0.8577 = 0.1423

(c) If P(z > a) = 0.2033, find the value of a:

Using the table, we find that the closest value to 0.2033 in the table is 0.20, which corresponds to a z-score of -0.84. Since we are interested in the upper tail, the desired value of a is the negative of the z-score:

a = -(-0.84) = 0.84

Therefore, the answers are:

(a) P(z < -0.83) = 0.7967

(b) P(z > 1.07) = 0.1423

(c) If P(z > a) = 0.2033, then a = 0.84

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Car Mart started with more cars. It started with 80 - 52 = 28 more cars than Winston's.

1. How many cars per day does Car Mart sell? To calculate the rate of decrease in the number of cars left, we can find the slope of the line connecting the points (0, 80) and (6, 20) on the graph. The slope is given by: Slope = (Change in y)/(Change in x) = (20 - 80)/(6 - 0) = -10 cars per day

Therefore, Car Mart sells 10 cars per day.2. How many cars per day does Winston's sell? We can use the information given to find the rate of decrease in the number of cars left at Winston's. Over a period of 2 days, the number of cars decreases from 32 to 12. Therefore, the rate of decrease is:

Rate of decrease = (32 - 12)/(3 - 5) = 10 cars per day

Therefore, Winston's sells 10 cars per day.3. Which dealership sells more cars per day? How many more? Car Mart sells 10 cars per day and Winston's sells 10 cars per day, so they sell the same number of cars per day.4. Which dealership started with more cars? How many more cars did that dealership start with?

To compare the number of cars each dealership started with, we can use the information given. After 3 days, Winston's has 32 cars left, which means it started with:

Number of cars Winston's started with = 32 + (10 x 2) = 52 carsAfter 0 days, Car Mart has 80 cars left, which means it started with: Number of cars Car Mart started with = 80 cars

Therefore, Car Mart started with more cars. It started with 80 - 52 = 28 more cars than Winston's.

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Answer:

see below

Step-by-step explanation:

of means multiply

1/2 * 1/3

1/6

1/2 * 3/4

3/8

Answer:

1/2 of 1/3=1/6

1/2 of 3/4=3/8

Step-by-step explanation:

Whenever you come across question that states [a of b] simply means a×b

This also applies to this question.

1/2 of 1/3=1/2 × 1/3=1/6

1/2 of 3/4=1/2 × 3/4=3/8