pls help me with this​

The solution by substituting 15 for b in the Original equation. The answer is true.

The steps needed to solve the equation b + 6 = 21 are:

Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.

Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.

Therefore, the correct steps to solve the equation are:

Subtract 6 from both sides of the equation. The answer is b = 15

the solution by substituting 15 for b in the original equation. The answer is true.

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Step-by-step explanation:

a. To find the value of q that maximizes profit, we need to find the value of q that maximizes revenue and then subtract the cost to produce that quantity. Revenue is equal to the price per unit multiplied by the quantity sold, or R(q) = q(110 - q). Thus, profit is given by P(q) = R(q) - C(q) = q(110 - q) - (q³ - 25q² + 2q + 3,000). Simplifying this expression, we get P(q) = -q³ + 85q² - 108q - 3,000. To find the value of q that maximizes profit, we need to take the derivative of P(q) with respect to q and set it equal to zero. This gives us -3q² + 170q - 108 = 0. Solving for q using the quadratic formula, we get q = 4.89 or q = 23.44. Since the company cannot produce a fractional quantity of parts, the value of q that maximizes profit is 23.

b. Consumer surplus is the difference between the maximum price that a consumer is willing to pay for a good and the actual price that they pay. In this case, the maximum price that a consumer is willing to pay is given by the demand function, p = 110 - q. At the level of production that corresponds to maximum profit, q = 23, so the price per unit is p = 110 - 23 = 87 dollars. The consumer surplus is then given by the integral of the demand function from q = 0 to q = 23, or ∫[0,23] (110 - q) dq = 23(110) - (23²/2) = 1,955 dollars.

Step-by-step explanation:

Use exponent property of logs.

logb(x²) = 2 logb(x) = 2(0.49) = 0.98

The value of logᵇ x² is 0.98 after using the logarithm properties the answer is 0.98.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

\(\rm a^b = c\\log_ac =b\)

It is given that:

\(\rm log_b x=0.49\)

The integer exponent:

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is required to find the value of \(\rm log_b \ x^2\)

As we know from the log property:

\(\rm log_a \ b^c = c \ log_a b\)

\(\rm log_b \ x^2 = \rm 2log_b \ x\)

\(\rm log_b \ x^2 = \rm 2(0.49)\)

\(\rm log_b \ x^2 = 0.98\)

Thus, the value of logᵇ x² is 0.98 after using the logarithm properties the answer is 0.98.

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The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.

The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.

The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.

Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.

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Answer:

The counter example is:

Explanation:

We want to show that the statement "The sum of any two different odd numbers is divisible by 4" is false.

We need to use the smallest positive numbers. T

let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

Answer:

Solution given:

x+148=180°[linear pair]

x=180°-148=32°

x=32° is your answer

Answer:

Solution:

Given,

X+48°=180°

X=180°-48°

X=32°

so,

X=32° answer

hope it is helpful to you

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

negative trend because the values are decreasing

The following statements can be deduced by knowing some previous knowledge from Parallelism.

2) Examining and commenting

∠1 ≅ ∠2 FALSE This is a linear pair. So they are supplementary angles, not congruent ones.

∠5≅ ∠7 TRUE Vertical Angle Theorem states that they are congruent ones.

m∠7≅ m∠4 True Linear pair a+ b are supplementary as well.

∠1 ≅ ∠7 True Corresponding Angles are always congruent.

≅

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

36.38% converted to fraction is:

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:

3280.84

Step-by-step explanation:

Answer:

The value of x would 12.2.

Step-by-step explanation:

You have to use the pythagorean theorem to solve this.

a = 5.85 (11.7/2)

b = what we are trying to find

c = 13.5

\(\sqrt{13.5^{2} - 5.85^{2} }\) = 12.1666 which rounds to 12.2

I hope this helps, I apologize if it isn't right.

To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:

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The correct answer is U - II = I + III + IV.

In order to solve problems based on these sets, we can use a Venn diagram to depict the logical relationship between sets and their components. Although other closed figures like squares may be used, a Venn diagram commonly uses intersecting and non-intersecting circles to indicate the relationship between sets.

c represent the compliment of the particular state.

U is the union set

∩ represent intersection between the neighbouring sets

Therefore,

Bc = U - B = I + II

Bc∩A = Area common in Bc and A = II

(Bc∩A)c = Area in U but not in (Bc∩A) = U - II = I + III + IV

So, answer is d.

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[  3   9   13 ] is the Matrix showing all types of property available in key west .

A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or an attribute of such an entity in mathematics.

given in the table that how many types of property are there in the table

its a simple matrix which u can directly see

its a  3 x 1 matrix ...

[3  9  13] this matrix shows the required value

hope this helps...

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Answer:  [3 9 13]

Step-by-step explanation:

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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Answer:4/5

Step-by-step explanation: thats the slope

Answer:

m=−4/15

Step-by-step explanation:

if my answer right or wrong plz tell me and like and rate plz. THANK YOU

Answer:

18,14,9

Step-by-step explanation:

enjoy

Answer:

Please see explanation.

Step-by-step explanation:

\((3x+5)(3x-4)=9x^2+3x-20\\\)

\(27x^3-8=(3x-2)(9x^2+6x+4)\)

\((3x-4y)^2=9x^2-24xy+16y^2\)

Answer:

1. (3x+5)(3x-4) = 9x^2 + 3x - 20

2. (3x-4y)^2 = 9x^2 - 24xy + 16y^2

3. (3x-2)(9x^2+6x+4) = 27x^3 - 8

Step-by-step explanation:

1. (3x+5)(3x-4)

3x · 3x = 9x^2

3x · -4 = -12x

5 · 3x = 15x

5 · -4 = -20

9x^2 - 12x + 15x - 20 = 9x^2 + 3x - 20

2. (3x-4y)^2 = (3x-4y)(3x-4y)

3x · 3x = 9x^2

3x · -4y = -12xy

-4y · 3x = -12xy

-4y · -4y = 16y^2

9x^2 - 12xy - 12xy + 16y^2 = 9x^2 - 24xy + 16y^2

3. (3x-2)(9x^2+6x+4)

3x · 9x^2 = 27x^3

3x · 6x = 18x^2

3x · 4 = 12x

-2 · 9x^2 = -18x^2

-2 · 6x = -12x

-2 · 4 = -8

27x^3 + 18x^2 + 12x - 18x^2 - 12x - 8 = 27x^3 - 8

Answer:

2/35 of the pizza is left

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

subtract 4/5 from 5/5 then get 1/5 and sub 1/7 from that

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

Answer:

B.

Step-by-step explanation:

(Here's Answers for the Quiz I did so far!)

1. Abby is collecting rainfall data.

Answer: B.

2. The Monthly Mean Salaries

Answer: A.

3. The Number of Cars at a Dealer Ship

Answer: A. (6.9)

4. The Mean Set of Credit Card Scores.

Answer: C. (720)

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

Answer:

78

Step-by-step explanation:

19 + 7 = 26

26 × 3 = 78

Answer: 36

Step-by-step explanation:

19 is 7 LESS so= 19 - 7 = 12

Then, 12 AND 3 TIMES A NUMBER so= 12 x 3 = 36