25 decreased by the product of number and 3

Answer:

x = 4, y = 3.

Step-by-step explanation:

2x - 2y = 2

2x + y = 11     Subtract:

-3y = -9

y = -9/-3

y = 3

Plug y = 3 in equation 1:

2x - 2(3) = 2

2x - 6 = 2

2x = 2 + 6 = 8

x = 4.

Answer:

37.5 cm^2

Step-by-step explanation:

2.5 * 3.5 = 6.25

6.25 x 6 is 37.5

Answer:

2+2=4

Step-by-step explanation:

Imagine 2 lItTlE fishies in a pond, 2 more little FIsHiEs swim next to them, how many FisHiEs are in a group? Four WiDdlE fiShies are in the pond. Good LuCk

Answer: 378 the second option

Step-by-step explanation:

Answer:

378

Step-by-step explanation:

Multiply 9 and 12 then divide by 2 to get the area of the triangle then multiple by 7 to get the volume

Based on the points on the line, the equation that represents a parallel line is B. y = -2x + 13.

The slope of the points given is:

= (Y2 - Y1) / (X2 - X1)

= (-17 - 9) / (7 - (-6))

= -26 / 13

= -2

The slope of lines that are parallel to each other is the same.

The means that the equation to a line that is parallel to a line that runs through points (-6, 9) and (7, -17) is y = -2x + 13.

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Answer:

f(-8) = -512, f(8) = 2

Step-by-step explanation:

Substitute x = -8 and 8 into the function, taking into account the rules of the function.

For x = -8, x < 0 so the value is equal to the cube of -8, which is -512.

For x = 8, x > 0 so the value is equal to the cube root of 8, which is 2.

Hey there! :)

We are given the piecewise function:

\( \displaystyle \large{f(x) = \begin{cases} {x}^{3} \: \: (x < 0) \\ \sqrt[3]{x} \: \: (x > 0) \end{cases}}\)

To evaluate the value of function at x = -8 and x = 8, we know that -8 is less than 0 and 8 is greater than 0.

Therefore, if we want to evaluate the value of function at x = -8; we use the x^3 since it's given x < 0 for the function and for x = 8; we use the cube root of x since it's given x > 0.

Evaluate x = -8

From the piecewise function:

\( \displaystyle \large{f(x) = \begin{cases} {x}^{3} \: \: (x < 0) \\ \sqrt[3]{x} \: \: (x > 0) \end{cases}}\)

Since -8 is less than 0, we use x^3.

\( \displaystyle \large{f( - 8) = {( - 8)}^{3} } \\ \displaystyle \large{f( - 8) = - 512} \)

Evaluate x = 8

From the piecewise function, since 8 is greater than 0, we use the cube root of x.

\( \displaystyle \large{f(8) = \sqrt[3]{8} }\)

To evaluate the cube root, first we prime-factor the number.

\( \displaystyle \large{f(8) = \sqrt[3]{2 \cdot 2 \cdot 2} }\)

Since it's a cube root, we pull three 2's out of the cube root and write only one 2.

\( \displaystyle \large{f(8) =2}\)

Answer

Let me know if you have any questions!

Answer:

70

hope this helps you!!

The equation is a shorthand method for writing a mathematical rule.

The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Given,Two angles of a quadrilateral measures 260 and 30.The other two angles are in a ratio of 3:4.

Let the measures of other two angles be 3x and 4x (in degrees).Since the sum of all angles in a quadrilateral is 360°, we can write the equation as follows;

Sum of all the angles of the quadrilateral = 260 + 30 + 3x + 4x =360

= 290 + 7x = 360

= 70x = 10°

= x = 7°

Now, measure of other two angles = 3x and 4x = 3(10°) and 4(10°)= 30° and 40°

Hence, the measures of those two angles are 30° and 40°.

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Answer:

5x-9

Step-by-step explanation:

Distribute: 3x-(2x+9) + 4x

3x - 2x - 9 + 4x

Combine Like Terms: 3x - 2x - 9 + 4x

5x-9

The expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

To express the area under the graph of f(x) as a limit, we divide the interval [2, 4] into n subintervals of equal width Δx = (4 - 2)/n = 2/n.

Let xi be the right endpoint of each subinterval, with i ranging from 1 to n. The area of each rectangle is given by f(xi)Δx.

By summing the areas of all the rectangles, we obtain the Riemann sum: A = Σ[f(xi)Δx], where the summation is taken from i = 1 to n.

To find the expression for the area under the graph of f(x) as a limit, we let n approach infinity, making the width of the rectangles infinitely small.

This leads to the definite integral: A = ∫[2, 4] f(x) dx.

In this case, the expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

Evaluating this limit would yield the actual value of the area under the curve.

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The given pattern is an illustration of a linear equation. The students' equations are:

Given that:

\(n \to\) number of tiles

\(s\to\) step number

See attachment for the pattern, that is being analyzed by the students.

Dan

For each step, the number of tower is the same as the step number.

This means that:

\(n \to s\)

2 arms contain one less block means: 2 x (s - 1) blocks for both arms.

So, Dan's equation is::

\(n = s + 2 \times (s - 1)\)

\(n = s + 2(s - 1)\)

Sally

First, we calculate the slope (m) of the table

\(m = \frac{n_2 - n_1}{s_2 - s_1}\)

So, we have:

\(m = \frac{4-1}{2-1}\)

\(m = \frac{3}{1}\)

\(m =3\)

The equation is then calculated using:

\(n = m(s - s_1) + n_1\)

This gives:

\(n = 3(s - 1) + 1\)

Open bracket

\(n = 3s - 3 +1\)

\(n = 3s - 2\)

Hence;

Dan's equation is: \(n = s + 2(s - 1)\)

Sally's equation is: \(n = 3s - 2\)

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Answer:

As per the cosines law formula, to find the length of sides of triangle say △ABC, we can write as;

And if we want to find the angles of △ABC, then the cosine rule is applied as;

Where a, b and c are the lengths of sides of a triangle.

Answer:

7^3

Step-by-step explanation:

since seven is being multiplied by itself 3 times, it is being cubed. So it needs to be raised to the third power.

hope this helps!!! :3

Answer: (-7)(-7)(-7) is equal to -7^3 (just imagine that the three is on the top right outer corner of the 7)

Step-by-step explanation:

A power is when you multiply a number by itself a certain number of times, in this case, we are multiplying the number 7 by itself 3 times. Every time it is multiplied by its self, the power of that number goes up (if you are using a power of one for any number, it will stay the same). Here is an example:

-7 to the first power is just -7.

-7 to the second power, or squared is just (-7)(-7) or (-7) x (-7).

-7 to the third power, or cubed, is just (-7)(-7)(-7) or (-7) x (-7) x (-7).

Hope this helps!!!

The population in this scenario is all the students at UCLA.

In this case, the population refers to the entire group of individuals that Bob wanted to study, which is all the students at UCLA. The population represents the larger group from which the sample is drawn. The goal of the study is to investigate levels of homesickness among college students at UCLA.

Bob conducted a random sample by selecting 200 students out of the entire student population at UCLA. This sampling method aims to ensure that each student in the population has an equal chance of being included in the study. By surveying a subset of the population, Bob can gather information about the levels of homesickness within that sample.

To calculate the sampling proportion, we divide the size of the sample (200) by the size of the population (total number of students at UCLA). However, without the specific information about the total number of students at UCLA, we cannot provide an exact calculation.

By surveying a representative sample of 200 students out of all the students at UCLA, Bob can make inferences about the larger population's levels of homesickness. The results obtained from the sample can provide insights into the overall patterns and tendencies within the population, allowing for generalizations to be made with a certain level of confidence.

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f(a) = 9a^2 + 5

f(a+h)= 9a^2 + 18ah + 9h^2 + 5

The difference quotient: f(a+h) − f(a) / h=  18a + 9h

To find f(a), f(a+h), and the difference quotient f(a+h) − f(a) / h, where h ≠ 0, we will use the function f(x) = 9x^2 + 5:

1. Find f(a):
f(a) = 9a^2 + 5

2. Find f(a+h):
f(a+h) = 9(a+h)^2 + 5
= 9(a^2 + 2ah + h^2) + 5
= 9a^2 + 18ah + 9h^2 + 5

3. Calculate the difference quotient f(a+h) − f(a) / h:
= [(9a^2 + 18ah + 9h^2 + 5) - (9a^2 + 5)] / h
= (9a^2 + 18ah + 9h^2 + 5 - 9a^2 - 5) / h
= (18ah + 9h^2) / h

Now, factor out an h from the numerator:
= h(18a + 9h) / h

Finally, simplify by canceling the h's:
= 18a + 9h

So, the answers are:
f(a) = 9a^2 + 5
f(a+h) = 9a^2 + 18ah + 9h^2 + 5
f(a+h) − f(a) / h = 18a + 9h

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Answer:

19

Step-by-step explanation:

30-26.39=3.61

3.61 divided by 0.19 = 19

hope this helps :)

Answer:

\(f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}\)

Answer:

24000

Step-by-step explanation:

400 can be rounded to 400 and 63 can be rounded to 60

400x60=24000

your exact product would be 26271

hope this helps

Answer:

0.1787

Step-by-step explanation:

It is given that the mean cost of undergraduate program for a four year institutions for tuition, rooms fees and board was =$26,489

And the minimum  standard deviation is given as σ = $ 3204

So, the mean normal deviation is , μ = 26,489

and the standard deviation is, σ = 3204

Thus, the probability of the mean cost for sample schools is 0.1787

We will use De Movre's theorem and set theory in all the three pairs of events to prove that all three cases are independent events.

Given that A and B are independent events

This implies,

P(A ∩ B) = P(A) X P(B)

a)

Now we are given notA  and notB

P(notA ∩ not B) = P(not(A U B)), this is the demovre's theorem.

= 1 - P(A) - P(B) + P(A) X P(B)

= 1 - P(A) + 1 - P(B) - 1 + P(A) X P(B

= P(not A) + P(not B) - P(not A) X P(not B

b)

Now P(A) = P(A ∩ B) + P(A ∩ notB)

or, P(A) = P(A) X P(B) + P(A ∩ not B)

or, P(A ∩ not B) = P(A) - P(A) X P(B)

or, P(A ∩ not B) = P(A){1 - P(B)}

or, P(A ∩ not B) = P(A) X P(notB)

c) Here we have

Now P(B) = P(A ∩ B) + P(notA ∩ B)

or, P(B) = P(B) X P(A) + P(notA ∩ B)

or, P(notA ∩ B) = P(B) - P(A) X P(B)

or, P(notA ∩ B) = P(B){1 - P(A)}

or, P(notA ∩ B) = P(notA) X P(B)

Hence we can say that all three cases are independent events.

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If vector v = 5i + 4j and vector w = 6i-9j, the vector v + w is 11i - 5j, and the vector v - w is -i + 13j.

To add two vectors written in i,j form, we simply add their corresponding components. In the example provided, vector v is written as 5i + 4j, and vector w is written as 6i - 9j. To find the sum of v and w, we simply add the i components together and the j components together. This gives us:

v + w = (5i + 4j) + (6i - 9j) = 11i - 5j

Similarly, to find the difference of v and w, we subtract their corresponding components:

v - w = (5i + 4j) - (6i - 9j) = -i + 13j

This method of adding and subtracting vectors can be used for any two vectors written in i,j form, as long as we remember to add or subtract the corresponding components of the vectors.

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The blue graph has been shifted to the right by 3 units

A function that converts an input of letters and numbers into an encrypted output of a fixed length is called hash. The links in the blockchain that is created using an algorithm.

A hash is a mathematical function that changes an input of any length into an encrypted output of a specific length. Therefore regardless of the quantity of raw data involved or the size of the file, its unique hash is always the same size. Also, a hash cannot be used to "reverse engineer" an input from a hash output, because hash functions are "one-way" (like a meat grinder; you don't can't put ground beef back into a steak). However, if you use such a function on the same data, its hash will be the same, so you can confirm that the data is the same (i.e., unchanged) if you already know its hash.

Hashes are used in various parts of the blockchain system. Each block header contains the hash of the previous block, ensuring nothing has been tampered with as new blocks are added. Cryptocurrency blockchains use hashes to secure information and make the ledger immutable.

It refers to the technique of making an input element of arbitrary length reflect an output element of definite length. For blockchain applications in cryptocurrencies, variable duration transactions are processed by specific hashing algorithms and all produce fixed length outputs. This is true regardless of the duration of the input transaction.

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Complete Question:

Fill in the blanks,

A function that converts an input of letters and numbers into an encrypted output of a fixed length is called ________. The links in the blockchain that is created using an algorithm.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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To maximize profit, the company should produce approximately 1.7091 units of commodity A and 0.5455 units of commodity B.

The profit function P(x,y) can be expressed as the revenue from selling the units minus the cost of producing them:

P(x,y) = R(x,y) - C(x,y)

where R(x,y) is the revenue function.

The revenue from selling x units of commodity A is xp, and the revenue from selling y units of commodity B is yq. Therefore, the revenue function can be expressed as:

R(x,y) = xp + yq = (20 - 5x)x + (4 - 2y)y

Simplifying and expanding the expression, we get:

R(x,y) = 20x - 5x^2 + 4y - 2y^2

Substituting the expression for C(x,y), we get:

P(x,y) = R(x,y) - C(x,y) = 20x - 5x^2 + 4y - 2y^2 - 2xy - 4

To maximize profit, we need to find the values of x and y that maximize P(x,y). To do this, we can take the partial derivatives of P(x,y) with respect to x and y, and set them equal to zero:

dP/dx = 20 - 10x - 2y = 0

dP/dy = 4 - 4y - 2x = 0

Solving for x and y, we get:

x = 2 - 0.2y

y = 1 - 0.5x

Substituting the expression for x into the expression for y, we get:

y = 1 - 0.5(2 - 0.2y) = 0.6 - 0.1y

Simplifying, we get:

1.1y = 0.6

y = 0.5455

Substituting the value of y into the expression for x, we get:

x = 2 - 0.2(0.5455) = 1.7091

Therefore, to maximize profit, the company should produce approximately 1.7091 units of commodity A and 0.5455 units of commodity B.

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Find x first

\(\\ \tt\hookrightarrow 9x-15=5x-3\)

\(\\ \tt\hookrightarrow 9x-5x=-3+15\)

\(\\ \tt\hookrightarrow 4x=12\)

\(\\ \tt\hookrightarrow x=3\)

Now

\(\\ \tt\hookrightarrow 3x-4=4y-2\)

\(\\ \tt\hookrightarrow 3(3)-4=4y-2\)

\(\\ \tt\hookrightarrow 9-4=4y-2\)

\(\\ \tt\hookrightarrow 4y-2=5\)

\(\\ \tt\hookrightarrow 4y=7\)

\(\\ \tt\hookrightarrow y=7/4\)

Answer:

No solution

Step-by-step explanation:

5x - (-x + 3) = -3 + 6x + 6     Distributive property ( the negative sign in front of the parentheses is -1 even if it doesn’t say.

5x + x - 3 = -3 + 6x + 6        Combine like terms

6x - 3 = 3 + 6x

Answer: No solution

It is no solution because 6x - 3 is not equal to 6x + 3.

I hope this helped and please mark me as brainliest!

Btw you are smart. You just have to try your best! :) Keep trying!