1/6•4•(-1/3)•9•(-1/2)•5

Answer:

-5/3 -2/5

im pretty sure

Answer:

[tex]5^{7[/tex] or 78125

Step-by-step explanation:

5^2 ( 5^3 · 5^2 )

= 5^2 ( 5^5 ) = 5^7

or, 78125

ANSWER: Multiply and Divide from left to right

To do this question we must follow the rules of PEMDAS. The first step would be to evaluate the equation given to us in the parentheses. To solve that we would have to use PEMDAS once again which tells us to multiply 2 x 2 before we add 3, so we get 7. Now that there is no more Parentheses, our second step is to evaluate each Multiplication and Division expression from left to right. This would start by dividing 63 by 7 to get 9.

[tex]\frac{1}{30}[/tex]

From the question, in the bag there are;

4 red balls

6 green balls

10 balls in total.

Now, reaching in the bag and taking out 3 balls without looking, the probability that all three balls are red, can be analyzed as follows;

All three red means;

The first ball is red,

The second ball is red and;

The third ball is red.

i. First you take out a ball from a total of 10 balls. The probability P⁰(R) of having a red ball is given as;

P⁰(R) = [tex]\frac{possible-space}{total-space}[/tex]

Since there are 4 red balls, the possible-space is 4

Also, since there are a total of 10 balls, the total-space is 10

P⁰(R) = [tex]\frac{4}{10} = \frac{2}{5}[/tex]

ii. Secondly, you take out a ball from a remaining total of 9 balls. The probability P¹(R) of still having a red ball is given as;

P¹(R) = [tex]\frac{possible-space}{total-space}[/tex]

Since there are 3 red balls remaining, the possible-space is 3

Also, since there are a remaining total of 9 balls, the total-space is 9

P¹(R) = [tex]\frac{3}{9} = \frac{1}{3}[/tex]

iii. Thirdly, you take out a ball from a remaining total of 8 balls. The probability P²(R) of still having a red ball is given as;

P²(R) = [tex]\frac{possible-space}{total-space}[/tex]

Since there are 2 red balls remaining, the possible-space is 2

Also, since there are a remaining total of 8 balls, the total-space is 8

P²(R) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Therefore, the probability P(R) of taking out three red balls without looking is given by the product of the probabilities described above. i.e

P(R) = P⁰(R) x P¹(R) x P²(R)

P(R) = [tex]\frac{2}{5} * \frac{1}{3} * \frac{1}{4} = \frac{1}{30}[/tex]

Answer:

[tex]\boxed{\red{\frac{1}{5} }}[/tex]

Step-by-step explanation:

[tex]400 {cm}^{3} = 400ml \\ 2l = 2000ml[/tex]

So, now we have to write 400cm^3 as a fraction of 2l

[tex] \frac{400}{2000} = \frac{4}{20} = \frac{1}{5} [/tex]

Answer:

[tex]4y - 7x - 1 = 0[/tex]

[tex]m = \frac{y2 - y1}{x2 - x1?} [/tex]

[tex]m = \frac{ - 5 - 2}{ - 6 - - 2?} [/tex]

[tex]m = \frac{ - 7}{ - 4} [/tex]

[tex]m = \frac{7}{4} [/tex]

[tex]y = m(x - x1) + y1[/tex]

[tex]y = \frac{7}{4} (x + 2) + 2[/tex]

[tex]y = \frac{7}{4} x + \frac{7}{2} + 2[/tex]

[tex]y = \frac{7}{4} x + \frac{11}{2} [/tex]

[tex]4y = 7x + 22[/tex]

[tex]4y - 7x - 22 = 0[/tex]

The equation of the line passing through the point (-2,2) and (-6,-5) is,

y = (-7/4)x +(11/2).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the equation of a line that contains the points (−2,2) and (−6,−5).

Calculate the slope of the line,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -5-2) / (-6 + 2 )

Slope= 7 / 4

The y-intercept is calculated as,

y = mx + c

2 = (-7/4) x 2 + c

c = 11 / 2

The equation will be written as,

y = mx + c

y = (7 / 4)x + (11/2)

Therefore, the equation of the line passing through the point (-2,2) and (-6,-5) is,

y = (-7/4)x +(11/2).

To know more about an equation of the line follow

https://brainly.com/question/18831322

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Answer:

yeyyyaya

Step-by-step explanation:

Answer:

5,000

Step-by-step explanation:

If it decreases by 5% a year, it'll decrease by 75% in 15 years

i.e 1 year = 5%

15 years = x

Cross multiply

x = 75%

Therefore, since it decreases by 75%

100 - 75 x 20,000 = 5,000

100

Answer:

x=5y-3

Step-by-step explanation:

[tex]4x+12=20y\\4x=20y-12\\x=\frac{20y-12}{4} \\x=\frac{20y}{4}- \frac{12}{4} \\x=5y-3[/tex]

Answer:

Step-by-step explanation:

To get theta, we will apply the formula for calculating the length of an arc as shown;

Length of an arc = theta/360 * 2πr

theta is the central angle (required)

r is the radius of the circle

Given r = 9 inches and length of the arc PQ = 6π in

Substituting this given values into the formula to get the central angle theta;

6π = theta/360 * 2πr

Dividing both sides by 2πr

theta/360 = 6π/2πr

theta/360 = 3/r

theta/360 = 3/9

theta/360 = 1/3

cross multiplying;

3*theta = 360

theta = 360/3

theta = 120°

Since 180° = π rad

120° = x

x = 120π/180

x = 2π/3 rad

Hence the measure of the central angle in radians is 2π/3 rad

Answer:

Correct option: D

Step-by-step explanation:

In the figure we have a right triangle, that is, one of the angles is a 90° angle. Therefore, we can use the Pythagoras' theorem to find the relation between the sides of the triangle:

[tex]a^2 = b^2 + c^2[/tex]

Where b and c are cathetus of the triangle (sides adjacent to the 90° angle) and a is the hypotenuse (opposite side to the 90° angle).

So in our case, we have that x is the hypotenuse, and 40 and 42 are cathetus, so we have:

[tex]x^2 = 40^2 + 42^2[/tex]

[tex]x^2 = 1600 + 1764[/tex]

[tex]x^2 = 3364[/tex]

[tex]x = 58[/tex]

So the correct option is D.

Answer:

complementary because 2 angles that add up to 90º is a complementary angle and x=9 :)

Step-by-step explanation:

90=46+5x-1

45=5x

x=9

Answer:

x = 9 Complementary

Step-by-step explanation:

The angles are compplementary cause the angle add up to 90°

Well to find x we need to make the following equation,

46 + (5x - 1) = 90

We need to simplify and combine like terms,

46 - 1 = 45

45 + 5x = 90

-45 to both sides

5x = 45

Divide 5 by both sides

x = 9

Thus,

x is 9.

Hope this helps :)

Step-by-step explanation:

im sorry but i need more info or a picture or something to actually anwser the question...

Answer:

  0.8080

Step-by-step explanation:

A suitable probability calculator gives that area as 0.8080.

Answer:

A. $500.00

Step-by-step explanation:

IRS popularly known as  Internal revenue service charges an IRS fee under the authority of the Federal Law and policy agencies. This implementation of IRS fee is to recuperate the cost of rendering a service to the masses.  

From the given information in the question:

Suppose you invest $15,000 at the age of 35 and agree to start receiving  payments at the age of 45.

At age 41, you decide you want to withdraw $5000  from your account.

Since the investor is still 41 years of age ; IRS will charge 10% of the withdrawal amount.

IRS fee = 10% of $5000

IRS fee = 0.1 × $5000

IRS fee = $500

Answer: 3,988.8

Usaremos la fómula: I = C * i * n

I = 72 000 * 0.05 * (1 año + 1 mes + 10 día)

I = 72 000 * 0.05 * (1 + 0.08 + 0.0028)

I = 72 000 * 0.05 * 1.108

3,988.8

Step-by-step explanation:

Podemos obtener el interés que produce un capital con la siguiente fórmula:  

I = C * i * n

Ejemplo: Si queremos calcular el interés simple que produce un capital de 1.000.000 pesos invertido durante 5 años a una tasa del 8% anual. El interés simple se calculará de la siguiente forma:

I = 1.000.000 * 0,08 * 5 = 400.000

Si queremos calcular el mismo interés durante un periodo menor a un año (60 días), se calculará de la siguiente forma:

Periodo: 60 días = 60/360 = 0,16            

I = 1.000.000 * 0,08 * 60/360 =  13.333

Espero te ayude :3

Answer:

f(x) = 60(2)ˣ

Step-by-step explanation:

f(x) = a(b)ˣ

After one month:

120 = a(b)¹

After four months:

960 = a(b)⁴

Divide the second equation by the first:

8 = b³

b = 2

Plug into either equation and find a.

120 = a(2)¹

a = 60

Therefore, f(x) = 60(2)ˣ.

=====================================================

Explanation:

This is a geometric sequence because each new term is found by multiplying the last term by -4.

The common ratio is r = -4. The first term is a = -9. We want to sum up n = 9 terms.

Use the geometric nth partial sum formula below to plug in the terms mentioned

[tex]S_n = \frac{a*(1-r^n)}{1-r}\\\\S_9 = \frac{-9*(1-(-4)^9)}{1-(-4)}\\\\S_9 = \frac{-9*(1-(-262144))}{1+4}\\\\S_9 = \frac{-9*(1+262144)}{1+4}\\\\S_9 = \frac{-9*(262145)}{5}\\\\S_9 = \frac{-2359305}{5}\\\\S_9 = -471,861\\\\[/tex]

Answer:

-471,861

Step-by-step explanation:

Answer:

a dilation by One-fourth and a translation

Step-by-step explanation:

For determining the sequence first we have to find out the scale factor which is shown below:

We can calculate the scale factor to obtain  

[tex]= \frac{1.5}{6} \\\\ = \frac{1}{4}[/tex]

Now as we know that the triangle XYZ and the triangle ABC are similar to each other but in the triangle XYZ is smaller in size and it is a shift to upward and right

Therefore the last option is correct

2×y = 2×6= 12 so 2×x = 2×23 = 43 = 113

Step-by-step explanation:

Is this what you are looking for?

Answer:

see explanation

Step-by-step explanation:

differentiate using the power rule.

[tex]\frac{d}{dx}[/tex]( a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , thus

[tex]\frac{d}{dx}[/tex](x² - x + 3 ) = 2x - 1

x = 5 → 2(5) - 1 = 10 - 1 = 9

To find the value of x for minimum , equate [tex]\frac{d}{dx}[/tex] to zero

2x - 1 = 0 , then

2x = 1 and

x = [tex]\frac{1}{2}[/tex]

Answer:

[tex]\boxed{\sf \ \ \ [-7,0] \ \ \ }[/tex]

Step-by-step explanation:

Hello

[tex]y=x^2+7x=x(x+7) >0\\<=> x>0 \ and \ x+7 >0 \ \ or \ \ x<0 \ and \ x+7<0\\<=> x>0 \ \ or \ \ x<-7\\[/tex]

So values of x which is not in this domain is

[tex]-7\leq x\leq 0[/tex]

which is [-7,0]

hope this helps

Answer:

  (F·G)(2) = 20

Step-by-step explanation:

We assume you want (F·G)(2).

  (F·G)(2) = F(2)·G(2)

  F(2) = 4 . . . . from the ordered pair (2, 4)

  G(2) = 5 . . . .from the ordered pair (2, 5)

So your product is ...

  F(2)·G(2) = 4·5 = 20

  (F·G)(2) = 20

Answer:

1. k=0

2. yes, result is still a polynomial.

3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)

Step-by-step explanation:

1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)

for k=0 any polynomial f(x) will reduce f(k) to the constant term.

2. If we multiply a polynomial by a constant, is the result a polynomial?

Yes, If we multiply a polynomial by a constant, the result is always a polynomial.

3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?

Yes.  

If

deg(f+g) < deg(f) and

deg(f+g) < deg(g)

then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.

Answer:

72

Step-by-step explanation:

36+36=72

Answer:

6227020800

Step-by-step explanation:

There are 13 ways to choose the first person in the first group, 12 ways to choose the second person in the first group and so on until we get 1 way to choose the second person in the last group so the answer is 13 * 12 * 11 * ... * 3 * 2 * 1 = 13! = 6227020800.

An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent.

Answer:

The person above me is correct ( :

Step-by-step explanation:

B

Hey there! Welcome to Brainly! I'm happy to help!

In equations, letters like x or y are called variables. They represent a number that we do not know yet, or they can almost be seen as a question mark in an equation. For example, 1+?=2. We know that this ? represents the number 1, and the same would go if you put a variable in there. If you have 1+x=2, you can figure out that x=1!

Our equation is 5x=110. When you see a number next to a variable, that number is called the coefficient. It is a number that multiplies a variable. So, our coefficient is 5. This means that five is multiplied by x to equal 110.

5·x=110

What if we don't know off the top of our heads what we multiply 5 by to get to 110? It was easy with 1+1=2, but this is trickier. Here's how to figure it out.

We want to get the x all by itself on one side of the equation. Then, we will see what x equals.

To do this, we use inverse operations. I will show you below with our 1+x=2 example.

1+x=2

We have a positive one plus an x equals two. We could visualize this like this.

+1+x=2

What we want to do is move the 1 to the other side of the equation so that x is by itself. So, what's the opposite of adding? Subtracting!

However, we don't just subtract the 1 from the left side, but we do it from the right side! You have to do the inverse operation on both sides to find the answer.

So, let's subtract 1 from both sides.

+1+x-1=2-1

x=1

We see that x equals 1, and if we plug this into the equation 1+x=2, we see that it is correct.

Now, with our problem, we need to divide, because that is the opposite of multiplication. We need to divide both sides by 5 to isolate the x. Let's do it!

5x÷5=110÷5

x=22

We see that 5×22 is equal to 110, so this is correct! Now you can solve for variables in equations!

Have a wonderful day!

Answer:

(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set. Logistic regression we predict the dependent variable which is categorical using a set of independent variables.

(b) Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.

Step-by-step explanation:

(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set .whereas In the logistic regression we predict the dependent variable which is categorical using a set of independent variables. Linear regression is regression problem solving method while logistic regression is having use for solving the classification problem.

(b) Example: Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.

If I am to predict that increasing or reducing the X will have an effect on the input variable X or by how much we will make a regression to find the variance that define the relationship or strong relationship status between them. I will run the regression on any computing software and check the stats result to measure the relationship and plots.

Answer:

I believe the interquarrile range is 5