given f(x)=9-2x, if f(x)=19, find the value of x. Can some one help please?

Answer:

\( 8\frac{3}{4} \) cups.

Step-by-step explanation:

From the line plot made by Diego which represents bottle sizes in cups, we can see that the most common size is the bottle having 1¾ cups (there are 5 of this sizes).

If he poured all 5 of this bottle sizes in 1 container, he would have the following:

\( 1\frac{3}{4} * 5 = \frac{7}{4}*5 = \frac{35}{4} \)

\( = 8\frac{3}{4} \) cups.

There are 4 terms in the simplified equation making it a quadrinomial

The result is Quadrinomial cubic

Start by simplifying the polynomial using the FOIL method:

Multiply one by one:

First multiply the term:

\((2a-5)(a^2-1)=(2a)(a^2-1) -5(a^2-1)\)

And, split out the terms, we get

\((2a-5)(a^2-1)=(2a)(a^2)+(2a)(-1)+(-5)(a^2)+(-5)(-2)\\\\(2a-5)(a^2-1)=2a^3-2a-5a^2+5\)

Now, the degree is equivalent to the highest exponent in the polynomial. So, the degree for this polynomial is 3 meaning its a cubic.

There are 4 terms in the simplified equation making it a quadrinomial

Hence, The result is Quadrinomial cubic .

Learn more about Polynomial at:

https://brainly.com/question/11536910

#SPJ4

Answer:

C. X = 1/2

Step-by-step explanation:

4x - 3 + 5 = 2x + 7 - 8x

      4x +2 = - 6x + 7

    4x + 6x = 7 - 2

           10x = 5

               x = 1/2

a) The probability of choosing a committee with no graduate students is approximately 0.1909

b) The expected number of graduate students on the committee is approximately 0.8415.

The total number of ways to choose a committee of 5 students out of 60 is given by the binomial coefficient

C(60, 5) = (60 choose 5) = 60! / (5! × 55!) = 11,117,344

The number of ways to choose a committee of 5 students with no graduate students is

C(50, 5) = (50 choose 5) = 50! / (5! × 45!) = 2,118,760

The probability of choosing a committee with no graduate students is

P = C(50, 5) / C(60, 5) ≈ 0.1909 (rounded to 4 decimal places)

To calculate the expected number of graduate students on the committee, we can use the formula

E(X) = Σ(x * P(X = x))

where X is the random variable representing the number of graduate students on the committee.

Since there are 10 graduate students in the class and we are choosing 5 students for the committee, there are C(10, x) × C(50, 5-x) ways to choose a committee with x graduate students.

Thus, the expected number of graduate students on the committee is

E(X) = Σ(x × C(10, x) × C(50, 5-x) / C(60, 5))

E(X) = (0 × C(10, 0) × C(50, 5-0) / C(60, 5)) + (1 × C(10, 1) × C(50, 5-1) / C(60, 5)) + (2 × C(10, 2) × C(50, 5-2) / C(60, 5)) + (3 × C(10, 3) × C(50, 5-3) / C(60, 5)) + (4 × C(10, 4) × C(50, 5-4) / C(60, 5)) + (5 × C(10, 5) × C(50, 5-5) / C(60, 5))

E(X) ≈ 0.8415

Learn more about probability here

brainly.com/question/30456668

#SPJ4

Mrs. Reid only needs to bring enough brownies for 3 classes, which would be: 9 pans of brownies
To find out how many pans of brownies each class will get, we can divide the total number of pans by the number of classes: 12 pans / 4 classes = 3 pans per class

However, only 3/4 of the classes handed in their money on time, so we need to adjust our calculation accordingly:
3/4 x 4 classes = 3 classes

Therefore, Mrs. Reid only needs to bring enough brownies for 3 classes, which would be:
3 classes x 3 pans per class = 9 pans of brownies

Diagram:

      +------------+
      |            |
      |  12 pans   |
      |            |
      +------------+
               |
       +---------------+
       |               |
   4 classes      Each class gets 3 pans
       |               |
       +---------------+
               |
       +---------------+
       |               |
   3 classes     Mrs. Reid needs to bring 9 pans
       |               |
       +---------------+

Equations:
Let C be the number of classes that handed in their money on time.
Number of pans per class = 12 pans / 4 classes = 3 pans/class
Number of classes = 4 classes x C
Number of pans needed = 3 pans/class x Number of classes

Visit here to learn more about money brainly.com/question/22984856
#SPJ11

Answer:

So do you need to know the answer for x? know one knows what the question your asking is.

Step-by-step explanation:

Answer:

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.

Step-by-step explanation:

AD is 9 units long

A’D’ is 3 units long.

Scale factor is A’D’ / AD

Scale factor = 3/9 = 1/3

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

Learn more about allele frequency here

https://brainly.com/question/6139888

#SPJ4

The function that is the solution of the differential y" + y = sin(x) is: y(x) = -1/2(x cos x)

A function is an expression, rule, or law in mathematics that describes a connection between one factor (the independent variable) and another variable (the dependent variable).

Take a look at the the following differential equation:

y" + y = sin (x)

The auxiiliary equation is

m² + 1 = 0

m² + 1-1 = -1

m² + 0 = -1

m² = -1

m = ±√-1

m = ±i

So, the complimentary function is yₐ (x) = c₁ cos x + c₂ sin x

Let the particular integral be:

yₙ (x) = A cos x + B sin x

yₙ '(x) = - A sin x + B cos x

yₙ ''(x) = - A cos x + B cos x

yₙ ''(x) = - (A cos x + B cos x)

After we have substituted yₙ (x); and yₙ''(x) in the given differential equation

y'' + y = sin (x)

= - (A cos x + B cos x) + (A cos x + B cos x)  = sin(x)

0 = sin (x)

If we take the particular integral to be:
yₙ (x) =  x(A cos x + B cos x)

yₙ '(x) = x(-A sin x + B cos x) + A cos x + B cos x

yₙ ''(x) = x(-A cos x - B sin x) - A sin x + B cos x + -A sin x + B cos x

Substitute yₙ (x), yₙ''(x) into the stated differential equation

y'' + y = sin (x)

x (-Acosx - Bsin x) - Asinx + Bcosx + (-Asinx + Bcosx) - x (Acosx + Bsin x) = sin (x)

-Axcosx - Bxsin x - Asinx + Bcosx -Asinx + Bcosx - Axcosx + Bxsin x = sin (x)

-2Asinx + 2Bcosx = sin(x)

Compare the coefficients of like terms on both sides of the equation

-2A = 1, B = 0

A = -1/2, B = 0

Substitute A = -1/2, B =0 into the assumed solution.

yₙ(x) = x((-1/2)cosx + (0) sinx)

= -1/2xcosx +0

= -(1/2)xcosx

Now, the general solution for the given differential equation is:

y(x) = yₓ(x) +yₙ (x)

y (x) - c₁cosx + c₂sin x -1/2x cosx

Hence, the solution is:

y(x) = -1/2xcosx

Learn more about function at;
https://brainly.com/question/25638609
#SPJ1

Full Question:

Which of the following functions are solutions of the differential equation y'' + y = sin x? (Select all that apply.)

A) y = 1 2 x sin x

B) y = cos x

C) y = x sin x − 5x cos x

D) y = − 1 /2 x cos x

E) y = sin x

Given:

The graph of system of inequalities.

To find:

The system of inequalities.

Solution:

From the given graph it is clear that the shaded region is lies below the line y=10 and the boundary line y=10 is a solid line. So, the sign of inequality must be \(\leq\).

\(y\leq 10\).

The shaded region lies on the right side of the y-axis. So, \(x\geq 0\).

Another boundary line passes through the point (0,1) and (1,2). So, the equation of the line is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-1=\dfrac{2-1}{1-0}(x-0)\)

\(y=1(x)+1\)

\(y=x+1\)

The boundary line \(y=x+1\) is a dotted line and the shaded region lies above the boundary line, so the sign of inequality must be \(>\).

\(y> x+1\)

So, the required system of inequalities is:

\(y> x+1\)

\(y\leq 10\)

\(x\geq 0\)

Therefore, the correct option is B.

Answer:

The translation rule that mapped A to A' is T(11, -7)

Step-by-step explanation:

The coordinates of the preimage = A(-4, 1)

The preimage is transformed to form the image A'

The image A' is reflected across the x-axis to have an image at the pint A''(7, 6)

For a reflection about the x-axis, where the coordinates of the preimage = (x, y), the coordinates of the image is (x, -y), therefore, we have;

The image of the reflection about the x-axis = A''(7, 6), therefore, the preimage coordinates are A'(7, -6)

Therefore, the translation rule that mapped A(-4, 1) to A'(7, -6) is T(7 - (-4), -6 - 1) = T(11, -7)

The translation rule that mapped A(-4, 1) to A'(7, -6) is T(11, -7)

a. Choosing the number 9 is a dominated strategy, b. Choosing the number 37 is a dominated strategy, c. The range of numbers for which each number in the range is closer to the winning number than 30 is from 21 to 39, d. The set of best responses for Lisa if she knew that all of her classmates would submit the number 24 is an empty set.

e. The symmetric Nash equilibrium in this game is the number 25.
f. The dominated strategies are choosing the numbers 9 and 37.
g. If Lisa believes that none of her classmates will play the dominated strategies found in part f, the strategies that are never a best response for Lisa are choosing the numbers 9 and 37.
h. The rationalizable strategies in this game are choosing any number between 21 and 39.

Explanation:
a. To show that choosing the number 9 is a dominated strategy, we need to compare the payoffs of choosing 9 with the payoffs of choosing any other number. If we look at the payoff for choosing 9, it is $50 if 9 is closer to the winning number than (1/2X+10), and $0 otherwise. However, if we choose any number greater than 9, our payoff will be $50 if that number is closer to the winning number than (1/2X+10), and $0 otherwise. Therefore, choosing 9 is always dominated by choosing a number greater than 9.
b. Similarly, to show that choosing the number 37 is a dominated strategy, we compare the payoffs of choosing 37 with the payoffs of choosing any other number. The payoff for choosing 37 is $50 if 37 is closer to the winning number than (1/2X+10), and $0 otherwise. However, if we choose any number less than 37, our payoff will be $50 if that number is closer to the winning number than (1/2X+10), and $0 otherwise. Therefore, choosing 37 is always dominated by choosing a number less than 37.
c. If Lisa knows that all of her classmates would submit the number 30, she wants to choose a number that is closer to the winning number than 30. The range of numbers for which each number in the range is closer to the winning number than 30 is from 21 to 39. If Lisa chooses any number between 21 and 39, she will have a higher payoff than if she chooses 30.

d. If Lisa knows that all of her classmates would submit the number 24, there is no best response for her. Choosing any number will not give her a higher payoff than choosing 24.
e. To find a symmetric Nash equilibrium in this game, we need to find a number that is a best response to everyone else submitting that same number. The number 25 is a best response to everyone else submitting 25 because it is the closest number to (1/2X+10). Therefore, the symmetric Nash equilibrium in this game is the number 25.
f. The dominated strategies in this game are choosing the numbers 9 and 37. These strategies are dominated because there are always other numbers that will give a higher payoff.
g. If Lisa believes that none of her classmates will play the dominated strategies found in part f, the strategies that are never a best response for Lisa are choosing the numbers 9 and 37. This is because there will always be other numbers that give a higher payoff.
h. The rationalizable strategies in this game are choosing any number between 21 and 39. These strategies are rationalizable because they are best responses to the belief that all of Lisa's classmates will submit the number 30. By choosing a number in this range, Lisa ensures that she has a higher payoff than if she chooses any other number.

To know more about Nash equilibrium refer to:

https://brainly.com/question/31970179

#SPJ11

The proportion statement is 2/3. The missing angles are CK = 12, GN = 15 and GT = 9

Given that: Polygon ROCK ~  Polygon GNAT.

The symbol ~ means the polygons are similar to each other. That means the ratios of all their corresponding sides are the same. Thus:

CO/AN = 4/6 = 2/3 (This is the proportion statement)

We can also say CK/AT= 2/3 because the ratios of all their corresponding sides are the same

With this, we can determine  the missing sides:

CK/AT= 2/3     where AT = 18

CK/18= 2/3

CK = (18×2)/3 = 12

OR/GN = 2/3    where OR = 10

10/GN = 2/3

2GN = 10×3

2GN = 30

GN = 30/2 = 15

KR/GT = 2/3   where KR = 6

6/GT = 2/3

2GT = 6×3

2GT = 18

GT = 18/2 = 9

Therefore, the proportion statement is 2/3, and the missing angles are CK = 12, GN = 15 and GT = 9

Learn more similar polygons on:

https://brainly.com/question/14585072

#SPJ1

In  quadratic equation  (-11)2 = 121, the solution is actually both x = 11 and x = -11.

What in mathematics is a quadratic equation?

x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might believe that x = 11, but keep in mind that x might also be negative because negative numbers can be squared.

In essence, each real number has both a positive and a negative square root.

Because (-11)2 = 121, the solution is actually both x = 11 and x = -11.

Learn more about quadratic equation

brainly.com/question/17177510

#SPJ9

(1.25 x 12)/ 0.6=

25

Hope this helps :)

for this question your answer is D

Answer:

37 students in each bus so 111 students went on the bus

Step-by-step explanation:

6 students went on the bus so 117 - 6 = 111 there are 3 buses so 111 / 3 = 37 so 37 students per bus

The probability of the ball falling into red slots 12 or fewer times in 23 rolls is approximately 0.3486.

A. Using the binomial probability formula, we can determine the likelihood that the ball will land in the green slots two or more times out of 23 rolls:

\(P(X > = 2) = 0 - 1 - P(X = 0)\)

where P(X): likelihood that X will occur and X is the number of times the ball has fallen into the green slots.

The chances of the ball landing in a green slot on one roll are 2/38, whereas the chances of it not landing there are 36/38. This allows us to compute:

\(P(X = 0) = (36/38)^(23) = 0.288359853\)

\(P(X = 1) = 23 * (2/38) * (36/38)^(22) = 0.357973143\)

With the binomial probability formula substituted, we obtain:

\(P(X > = 2) = 1 - 0.288359853 - 0.357973143 = 0.353666004\)

As a result, there is a roughly 0.3537 percent chance that the ball will land in the green slots two or more times during the course of 23 rolls.

B. The likelihood that the ball will not land in any green slots after 23 rolls is:

\(P(not green) = (36/38)23, or 0.288359853\)

Hence, there is a roughly 0.2884 percent chance that the ball won't land in any green slots after 23 rolls.

B. Using the binomial probability formula, we can determine the likelihood that the ball will land in the black slots 14 or more times:

\(P(X > = 14) = 1 - P(X < = 13)\)

where P(X): likelihood that X will occur and X is the number of times the ball has fallen into the black slots.

The odds of the ball not falling into a black slot in one roll are 20/38, while the odds of the ball going into a black slot are 18/38. This allows us to compute:

\(P(X = 13) = sum of (23 pick I (18/38)*i* (20/38)*(23-i) from i=0 to 13 = 0.829288657\)

With the binomial probability formula substituted, we will get:

\(P(X > = 14) = 1 - 0.829288657 = 0.170711343\)

The likelihood of the ball landing in the black slots 14 or more times during the course of 23 rolls is therefore roughly 0.1707.

D. Using the binomial probability formula once more, we can determine the likelihood of the ball landing in the red slots 12 or fewer times:

\(P(X = 12) = sum of (23 pick I from i=0 to 12 * (18/38) * I * (20/38) * (23-i) = 0.348609995\)

The likelihood that the ball will land in a red slot 12 or fewer times in 23 rolls is therefore roughly 0.3486.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Answer:

two

Step-by-step explanation:

After 5 years of compounding interest at a rate of 4% per year, your balance will be approximately $349.65.

To calculate the balance after 5 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (balance)

P = the principal amount (initial investment)

r = the annual interest rate (expressed as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $300, the annual interest rate (r) is 4% (or 0.04 as a decimal), and the time period (t) is 5 years. The interest is compounded annually, so the number of times interest is compounded per year (n) is 1.

Plugging these values into the formula, we have:

A = 300(1 + 0.04/1)^(1*5)

A = 300(1 + 0.04)^5

A = 300(1.04)^5

A ≈ 349.65

Therefore, after 5 years of compounding interest at a rate of 4% per year, your balance would be approximately $349.65.

Learn more about interest here

https://brainly.com/question/29610001

#SPJ11

Answer:

Here ya go

A:2%

B:1,153

Answer:

A = 2%

Step-by-step explanation:

Answer:

I cannot say without a picture, send one and I'll be glad to help.

Answer:

-3/8

Step-by-step explanation:

PemDas

2/3 x 3/4= 1/2

3/4 x -1/2 = -3/8

full equation is now

1/2 - 1/2 + -3/8

1/2-1/2 =0

-3/8 remains

Angle 1 has a measure of greater than 97° and no more than 115°. (that means less than or equal to)

An angle is formed when two straight lines or rays meet at a single terminal. The place where two points converge is known as an angle's vertex. The Latin term "angulus," which means "corner," is whence the word "angle" gets its name." An angle is a shape in planar geometry made up of two rays or lines that have a common termination. The English word "angle" derives from the Latin word "angulus," which means "corner." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

This means that:

< 1 ? 97

< 1 ≤ 115

Angle 1 in the diagram is equivalent to (9x + 7). Because they are different internal angles, this is the case.

Hence, the following follows:

9x+7 ? 97

And

9x+7 ≤ 115

Solve for x:

9x? 97-7

9x? 90

Divide through by 9

x? 10

And

9x ≤ 115-7

9x ≤ 108

Divide through by 9

x ≤ 12

10i ≤ 12

As a result, the following is the number line graph representing the range of potential values of x:

The number line is that.

0   2   4    6    8    10    12  

Learn more about Angle here

https://brainly.com/question/25716982

#SPJ4

The decimal number that corresponds to the binary number 11111111 is 255.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. A decimal number is made up of two parts: a whole number and a fractional component separated by a decimal point. The decimal point is the dot between the whole number and the fractions. 25.5, for example, is a decimal number.

Here,

In binary, each digit represents a power of 2, starting with the rightmost digit. The rightmost digit in 11111111 represents 2^0, the second digit from the right represents 2^1, and so on. To convert a binary number to decimal, you add up the value of each digit times the corresponding power of 2.

For 11111111, the calculation would be:

=1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 1 * 2^1 + 1 * 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1

=255

The decimal equivalent of the binary number 11111111 is 255.

To know more about decimal number,

https://brainly.com/question/4708407

#SPJ4

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

To learn more about matrix visit:

brainly.com/question/29239316

#SPJ11