Solve for x3/10 + 5/10 = 4/x

Answer:

-2

Step-by-step explanation:

Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).

After using the deductive reasoning the procedure always produces the number 8.

Procedure:

Let the number be x.

We have to add 5 to the number x.

So the expression is x + 5.

We have to multiply the sum by 3.

Now the expression is 3(x + 5).

Now we have to subtract 7.

Now the expression is 3(x + 5) - 7.

Then we have to decrease this difference by the triple of the original number.

The triple of original number is 3x.

Now the expression is {3(x + 5) - 7} - 3x.

Now solving this expression

= {3(x + 5) - 7} - 3x.

First simplify the bracket

= 3x + 15 - 7 - 3x.

= 8

Now we can se that the after following the whole procedure the answer is 8.

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The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer:

(3x+2) (x+2)

Step-by-step explanation:

For a polynomial of the form ax^2 + bx + c  and rewrite the middle term as a sum of two terms whose product is a ⋅ c = 3 ⋅ 4 = 12 and whose sum is b = 8

Factor 8 out of 8x

  3x^2 + 8 (x) + 4

Rewrite 8 as 2 plus 6

    3x^2 + (2+6) x + 4

Apply the distributive property

   3x^2 + 2x + 6x +4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(3x^2 + 2x) + 6x + 4

Factor out the greatest common factor (GCF) from each group.

x(3x+2) + 2(3x+2)

Factor the polynomial by factoring out the greatest common factor,

3x + 2.

Answer: (3x+2) (x+2)

Hope that helps! :)

⋅

Answer:

\(a_n=3n-16\)

Step-by-step explanation:

\(a_n=a_1+(n-1)d\\\\a_8=a_1+(8-1)d\rightarrow 8=a_1+7d\\a_{20}=a_1+(20-1)d\rightarrow 44=a_1+19d\)

\(-36=-12d\\3=d\)

\(8=a_1+7(3)\\8=a_1+21\\-13=a_1\)

\(a_n=-13+(n-1)(3)\\a_n=-13+3n-3\\a_n=3n-16\)

The differential equation that best models the growth rate of the rabbit population with respect to time t, where k is a constant is option D) \(\frac{dP}{dT}=KP(2400-P)\).

A differential equation is an equation that relates a function and its derivatives to some independent variables. The solution to a differential equation is a function that satisfies the equation and is often used to model physical processes.

Differential equations come in many forms, including ordinary differential equations (ODEs) and partial differential equations (PDEs).

For the population in function of the time, is:

\(\frac{dP}{dT}\)

The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population

Carrying capacity is 2400.

This means that the differential equation is kP(size of the population multiplied by the constant) multiplied by 2400 - P(difference between the population and the carrying capacity).

=> \(\frac{dP}{dT}=KP(2400-P)\)

Therefore, The differential equation that best models the growth rate of the rabbit population with respect to time t, where k is a constant is option D) \(\frac{dP}{dT}=KP(2400-P)\).

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Answer:

-6

Step-by-step explanation:

The range of the absolute value function y = |x| is all non-negative numbers, which can be expressed as [0, ∞).

The absolute value function is a type of mathematical function that measures the distance between a given number and zero. It is denoted by two vertical bars surrounding the number or expression.

The range of the absolute value function is the set of all non-negative numbers. This is because the absolute value of any number is always a positive number or zero.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.This means that the output of the function can never be negative and can range from zero to infinity.

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The range of the absolute value function below is C. f(x) < 1.

The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. Domain→ Function →Range.

The range of a function is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 2x and each of A and B = {set of natural numbers}.

The function y=|ax+b| is defined for all real numbers. So, the domain of the absolute value function is the set of all real numbers. The absolute value of a number always results in a non-negative value.

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What is the range of the absolute value function below?

f(x) > -4

f(x) > -1

f(x) < 1

f(x) < 4

Answer:

$129

Step-by-step explanation:

We can use this equation:

x - 0.45x = 70.95

0.55x = 70.95

x = $129

Answer:

A

Step-by-step explanation:

x = 0

y = -3

Answer:

My best bet is (0,-3) sorry if I'm wrong

9514 1404 393

Answer:

Step-by-step explanation:

The Law of Cosines can be used to find the distance from the red boat to the lighthouse.

  b² = l² +r² -2lr·cos(B)

  b² = 18² +30² +2·18·30·cos(120°) = 1764

  b = √1764 = 42

The distance from the red boat to the lighthouse is 42 miles.

__

The angle at the lighthouse can be found using the law of sines.

  sin(L)/l = sin(B)/b

  L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°

The angle between the boats measured at the lighthouse is about 22°.

Answer:

\(-15x^5y^7\)

Step-by-step explanation:

Given

\((-3xy^3)(5x^4y^4)\)

Required

Express as \(Ax^my^n\)

\((-3xy^3)(5x^4y^4)\)

Expand each factor in both brackets

\((-3 * x * y^3) (5 * x^4 * y^4)\)

Remove brackets

\(-3 * x * y^3*5 * x^4 * y^4\)

Bring like factors together

\(-3 *5* x * x^4* y^3 * y^4\)

\(-15* x * x^4* y^3 * y^4\)

Apply law of indices

\(-15* x^{1+4}* y^{3+4\)

\(-15* x^5* y^7\)

\(-15x^5y^7\)

Done

The expression equivalent to (-3xy^3)(5x^4y^4) in the form Ax^my^n \(\mathbf{=-15x^{5} y^{7}}\)

Indices are algebraic expressions usually raised to a power of a given number or term.

Given that:

To express the given indices in terms of Ax^my^n, we need to open the two brackets and multiply the corresponding variables carrying the same terms.

i.e.

\(\mathbf{=(-3xy^3)(5x^4y^4) }\)

\(\mathbf{=((-3\times 5)x^{1 +4}) ( y)^{3+4}}\)

\(\mathbf{=-15x^{5} y^{7}}\)

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Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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Answer:

deverdad nose way solamente queiro los pintos

gracias por los pintos son 8. wow y tambien queiro asee Esto de verdad porque lol queiro saber la respuesta

Step-by-step explanation:

c

Answer:

c-0.15c and 0.85c

Step-by-step explanation:

c - 0.15c & 0.85c , this two calculations could Ingrid perform in order to find the amount she needs to spend.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

Ingrid is buying a pair of pants with an original cost of c dollars.

The pants are on sale for 15% off their original cost.

i.e. cost = c - 15%*c

            = c - 0.15c

Again, it can be written as,

the cost= c - 0.15c

             = 0.85c

Hence,  c - 0.15c & 0.85c , this two calculations could Ingrid perform in order to find the amount she needs to spend.

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Answer:

Exact form: 215/12

decimal form: 17.916

mixed number: 17 11/12

Step-by-step explanation:

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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The vertices of the image N′M′O′  are N' = (-5, -4), M' = (-2, -3) and O' = (-3, -5)

From the question, we have the following parameters that can be used in our computation:

Triangle NMO has vertices at N(−5, 2), M(−2, 1), and O(−3 , 3).

The vertices of image N′M′O′ if the preimage is reflected over y = −1 is calculated using

N' = (x, -y - 2)

M' = (x, -y - 2)

O' = (x, -y - 2)

So, we have

N' = (-5, -2 - 2)

M' = (-2, -1 - 2)

O' = (-3, -3 - 2)

Evaluate

N' = (-5, -4)

M' = (-2, -3)

O' = (-3, -5)

Hence, the vertices of the image N′M′O′  are N' = (-5, -4), M' = (-2, -3) and O' = (-3, -5)

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Answer:

approximately 28.26 square feet

Step-by-step explanation:

The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.

The area is:

28.27 square feet

Work/explanation:

Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).

We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.

Now, here's a diagram for you;

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)

Plug in the data:

\(\sf{A=\pi\times3^2}\)

\(\sf{A=\pi\times9}\)

\(\sf{A=28.27\:ft^2}\)

Answer:

s=12569 may be

but I am not sure

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer: it was be cos4

Step-by-step explanation: 1/2 divided by 3/4 = cos4

Answer: = 4x − 5x − 1 Hope this helped

Step-by-step explanation:

The slope of the graph of this linear function is -1/2 in decimal form.

What is slope?

The formula to find the slope between 2 coordinates of a line is given by;

m = (y₂ - y₁)/(x₂ - x₁)

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

where (x1, y1) = (6, 1) and (x2, y2) = (-6, -5)

slope = (-5 - 1) / (-6 - 6)

slope = -6/12

slope = -1/2

Therefore, the slope of the graph of this linear function is -1/2 in decimal form.

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Answer:

a democracy

I hope this helps!

Complete Question

Random variable X has CDF given as follows

        \(F(x)_x = \left \{ {{{{{{{ 0 \ \ \ \ \ \ \ \ \ \ x < 0} \atop {\frac{8}{33}} \ \ \ \ \ \ 0 \le x \le 1} \atop{ \frac{5}{11} }\ \ \ \ \ 1 \le x \le 2 } \atop {\frac{7}{11} } \ \ \ \ \ \ 2 \le x \le 3} \atop{ \frac{26}{33} }\ \ \ \ \ 3 \le x \le 4 }\atop {\frac{10}{11} } \ \ \ \ \ \ 4 \le x \le 5} \atop{ 1}\ \ \ \ \ \ \ \ 5 \le x } \right.\)

Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.  

Answer:

Generally the PMF is

      X               0        1       2      3         4       5  

    P(X = x)      \(\frac{8}{33}\)        \(\frac{7}{33}\)      \(\frac{2}{11}\)     \(\frac{5}{33}\)        \(\frac{4}{33}\)     \(\frac{1}{11}\)

Generally to prove the validity of the PMF we add the probabilities , if it is equal to  1 then the PMF is valid otherwise , the PMF is not valid

So

      \(\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}\)

      \(\sum P(X = x) =1\)

Hence the PMF is valid

Step-by-step explanation:

Generally the probability of  X = 0  is evaluated as

       \(P(0) = F(0) \ \ (for \ x \le 0) - F(0) \ ( for \ x < 0)\)

=>    \(P(0) = \frac{8}{33} - 0\)

=>    \(P(0) = \frac{8}{33}\)

Generally the probability of  X = 1  is evaluated as

       \(P(1) = F(1) \ \ (for \ 1 \le 0) - F(1) \ ( for \ x < 1)\)

=>    \(P(1) = \frac{5}{11} - \frac{8}{33}\)

=>    \(P(1) = \frac{7}{33}\)

Generally the probability of  X = 2  is evaluated as

       \(P(2) = F(2) \ \ (for \ 2 \le x ) - F(2) \ ( for \ x < 2)\)

=>    \(P(2) = \frac{7}{11} - \frac{5}{11}\)

=>    \(P(2) = \frac{2}{11}\)

Generally the probability of  X = 3  is evaluated as

       \(P(3) = F(3) \ \ (for \ 3 \le x ) - F(3) \ ( for \ x < 3)\)

=>    \(P(3) = \frac{26}{33} - \frac{7}{11}\)

=>    \(P(3) = \frac{5}{33}\)

Generally the probability of  X = 4  is evaluated as

       \(P(4) = F(4) \ \ (for \ 4 \le x ) - F(4) \ ( for \ x < 4)\)

=>    \(P(4) = \frac{10}{11} - \frac{26}{33}\)

=>    \(P(4) = \frac{4}{33}\)

Generally the probability of  X = 5  is evaluated as

       \(P(5) = F(5) \ \ (for \ 5 \le x ) - F(5) \ ( for \ x < 5)\)

=>    \(P(5) = 1- \frac{10}{11}\)

=>    \(P(5) = \frac{1}{11}\)

Generally the PMF is

      X               0        1       2      3         4       5  

    P(X = x)      \(\frac{8}{33}\)        \(\frac{7}{33}\)      \(\frac{2}{11}\)     \(\frac{5}{33}\)        \(\frac{4}{33}\)     \(\frac{1}{11}\)

Generally to prove the validity of the PMF we add the probabilities , if it is equal to  1 then the PMF is valid otherwise , the PMF is not valid

So

      \(\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}\)

      \(\sum P(X = x) =1\)

Hence the PMF is valid