What is 12x-3+2x+13 equivalent to

Answer:  1.28533052274

Step-by-step explanation:

I think that you can do the Long step Division but thats ur answer

Answer:

1.28533052274

Step-by-step explanation:

No, it is not necessarily true that both ABT and ATB are defined for matrices A and B of size m × n.

In order for the matrix product ABT to be defined, the number of columns in A (which is n) must be equal to the number of columns in BT (which is also n). This means that the number of rows in B (which is m) must be equal to the number of rows in A (which is also m). So, if A and B are both square matrices of size n × n, then ABT is defined

On the other hand, in order for the matrix product ATB to be defined, the number of columns in AT (which is m) must be equal to the number of columns in B (which is also n). This means that the number of rows in A (which is m) must be equal to the number of rows in B (which is also m). So, if A and B are both square matrices of size m × m, then ATB is defined.

However, if A and B are not square matrices, then it is possible that only one of ABT or ATB is defined, or neither of them are defined. In general, the product of two matrices is only defined if the number of columns in the first matrix is equal to the number of rows in the second matrix.

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Answer:

point D

Step-by-step explanation:

A(0,6) then the reflect of A is equal to (6,0)

Correct option is A,  f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.

The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.

In the picture below you can see the blue line is the graph of the function

f(x) = log(5x) and the green line is the graph of the function

g(x) = log[5(x + 4)] - 2

Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.

We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.

The function shifts to the left when you add a number to x;

The function moves to the right when you remove a number from x;

The function increases when you add a number to it;

The function decreases when you take a number away from it.

Then we get a function g(x) = log[5 (x + 4)] - 2.

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Answer: True

Step-by-step explanation: because bias can lead to personal errors

the number added to both the numerator and denominator of the fraction is greater than 12.To solve this problem, let's first calculate the value of the fraction 3 ÷ 13:

3 ÷ 13 = 0.2308 (rounded to four decimal places)

Now, we need to find a number that, when added to both the numerator and denominator of 3 ÷ 13, results in a fraction greater than 3 ÷ 5.

Let's denote the number to be added as "x". The new fraction can be written as (3 + x) ÷ (13 + x). We want this fraction to be greater than 3 ÷ 5, which can be expressed as:

(3 + x) ÷ (13 + x) > 3 ÷ 5

To solve this inequality, we can cross-multiply:

5(3 + x) > 3(13 + x)

15 + 5x > 39 + 3x

Subtracting 3x from both sides:

15 + 2x > 39

Subtracting 15 from both sides:

2x > 24

Dividing both sides by 2:

x > 12

Therefore, the number added to both the numerator and denominator of the fraction is greater than 12.

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Yes, the unit rate of the ratio 12/5/3/10 is 8/1 as per given in the problem.

A unit rate is the price for one unit of a given quantity. With one as the denominator, we express this as a ratio. You would run 7 yards on average every second if you ran 70 yards in 10 seconds, for instance. The 70 yards in 10 seconds and the 7 yards in 1 second ratios are both rates, however the 7 yards in 1 second ratio is a unit rate.

Here, given that the unit rate for the ratio given is 8/1

We have to check whether the ratio is correct or not

So, (12/5)/(3/10)

=(12/5)×(10/3)

=8/1

Therefore, the ratio 8/1 is correct as per given in the sum

So, the answer is yes

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Answer:

albert 2500:3000 mark/÷100

25÷30 /÷5

5:6

their ratio is 5:6

The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.

Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.

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In situations where past experience or knowledge is insufficient, the risk of making a wrong purchase decision is high, and the cost of gathering information is low, a search for information is needed.

When faced with a decision to make a purchase, individuals often rely on information to guide their choices. In certain circumstances, however, their existing knowledge or experience may not be enough to make an informed decision. In such cases, a search for information becomes necessary.

A search for information refers to the process of actively seeking out relevant data, opinions, reviews, or other sources of information to gather insights and knowledge about a product or service. This information-seeking behavior becomes particularly crucial when the risk of making a wrong purchase decision is high, meaning that the consequences of a poor interest could be significant.

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Answer:

1/2

Step-by-step explanation:

Answer:

$40.60

Step-by-step explanation:

10.50+4%=10.92

28+6%=29.68

10.92+29.68=40.60

Answer:

\(k+(k+2)+(k+4)=87\)

The largest integer is 31.

Step-by-step explanation:

Hi there!

Let k be equal to the smallest of the integers.

Let (k+2) be the next odd integer.

Let (k+4) be the final odd integer.

We're given that the sum of these three integers is 87. Construct an equation:

\(k+(k+2)+(k+4)=87\)

Combine like terms:

\(k+k+2+k+4=87\\3k+6=87\\3k=81\\k=27\)

Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.

I hope this helps!

To maximize the number of units sold, we need to find the maximum value of the function N(x, y) = -0.5x^2 - 0.1y^2 + 10x + 3y + 250.

To find the maximum, we can use calculus and find the critical points of the function. We differentiate N(x, y) with respect to x and y to find the partial derivatives:

∂N/∂x = -x + 10

∂N/∂y = -0.2y + 3

Setting these partial derivatives equal to zero and solving for x and y, we get:

-x + 10 = 0 => x = 10

-0.2y + 3 = 0 => y = 15

So the critical point is (10, 15).

To determine whether this critical point is a maximum, we can use the second partial derivatives test. We calculate the second partial derivatives:

∂^2N/∂x^2 = -1

∂^2N/∂y^2 = -0.2

Since ∂^2N/∂x^2 = -1 < 0 and ∂^2N/∂y^2 = -0.2 < 0, the second partial derivatives are negative.

Using the second partial derivatives test, we can conclude that the critical point (10, 15) is a local maximum.

Therefore, to maximize the number of units sold, the owner should spend $10,000 on radio advertising and $15,000 on newspaper advertising.

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Answer:

120

Step-by-step explanation:

25 X 3 = 75%    40 X 3 = 120

The 75 percent of the number whose 35% is 40 is evaluated being equal to 120

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

Suppose the number we're taking about be 'x'.

Then, as stated in the question, we get:

25% of x = 40

or

\(\dfrac{x}{100} \times 25 = 40\\{x} \times \dfrac{25}{100} = 40\\\\x \times \dfrac{1}{4} = 40\\\\\text{Multiplying 4 on both the sides, we get:}\\\\x = 160\)

Now, we've found the number. It is 160. Its 75% is evaluated as:

\(\dfrac{x}{100} \times 75 = \dfrac{160}{100}\times 75 = \dfrac{160 \times 3}{4} = 120\)

Thus, the 75 percent of the number whose 35% is 40 is evaluated being equal to 120

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Answer:

since Sonia saved 45$ in 5 weeks and 70$ in 10 weeks. we are to find the amount she saved up in x weeks.

let's make the amount y

so x= y

5 = 45 cross multiplying the values

we then have 45x= 5y

y= 7x

x=y

10=70

10x = 70y

y= 7x = y=5x+ 20, y = 20x+5

The equation which represents the amount of money, y in dollars, in Sonia's savings account after x weeks is y = 5x + 20.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Sonia opened a savings account and then added the same amount to the savings account every week.

Let B be the initial amount in the account.

Let T be the amount added to each month.

After 5 weeks, her savings account had a total of $45.

B + T + T + T + T + T = 45

B + 5T = 45

After 10 weeks, her savings account had a total of $70.

45 + T + T + T + T + T = 70

45 + 5T = 70

5T = 25

T = 5

So, B = 45 - 25 = 20

So the equation is,

y = 20 + 5x = 5x + 20

Hence the equation is y = 5x + 20.

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Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

Step-by-step explanation:

a 68% mixture means it has a 68/100 fraction of alcohol :

68 ml of alcohol as part of a 100 ml mixture.

I am not sure how to understand the problem description, so I solve for 2 different problems.

1. create a new 600 ml mixture with 68% alcohol.

since we want to have a 600 ml mixture, we need to multiply the denominator of the fraction by 6.

to keep the value of the fraction unchanged, we need then also to multiply the numerator by 6 :

68/100 × 6/6 = 408/600

that means they need to include 408 ml of 100% alcohol with 192 ml of the rest of the ingredients to create 600 ml of a 68% mixture.

2. we have 600 ml of 50% mixture and are adding 100% alcohol to get a 68% mixture.

the current mixture has a 50/100 fraction of alcohol.

so, 300 ml of the 600 ml mixture are 100% alcohol.

we need to add x ml of 100% alcohol to make it a 68% mixture of 600 + x ml.

that means the sum of the existing 600 ml plus the added 100% alcohol must reach the same (68/100) fraction of alcohol.

(300 + x) / (600 + x) = 68/100

100(300 + x) = 68(600 + x)

30000 + 100x = 40800 + 68x

30000 + 32x = 40800

32x = 10800

2x = 675

x = 337.5 ml

we need to add 337.5 ml of 100% alcohol to the existing 600 ml mixture to get a a mixture of 68% alcohol in the in total 937.5 ml.

Answer: Switch x and y

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.

Hence, the correct option is C.

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Answer:

The answer is 56+7y

Step-by-step explanation:

7*8=56

7*y=7y

For a polling organization that conducts a telephonic poll from 850 registered votes and ask them to whom they will vote in coming presedential election. In the context of question, population size, sample and percentage of voter preference is given below.

a. The population being studied is the population of registered voters who will vote in the upcoming presidential election.

b. The sample being studied is the group of 850 registered voters who were surveyed by telephone.

c. Based on the sample, it is estimated that 45% of the population would vote for candidate B. However, it's important to note that this is only an estimate based on a sample of registered voters, and it may not accurately reflect the views of the entire population. Additionally, since the sample size is only 850, the estimate may have a margin of error associated with it. To get a more accurate estimate of the percentage of the population that would vote for candidate B, a larger sample size or a different method of polling would be necessary.

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The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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Answer:

yui no kami usika mi 4x5

Step-by-step explanation:

The product of the expression \(\sqrt{5x}\times\sqrt{x + 3}\) is defined for B. x ≥ - 3.

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

We know, A square root function is defined for real numbers which are greater than or equal to zero.

Given, A product of two square root expressions \(\sqrt{5x}\times\sqrt{x + 3}\).

Now, It is defined for x + 3 ≥ 0 ⇒ x ≥ - 3.

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Answer:

the probability is 5/20 for picking one yellow

and the probability is 4/19 for picking green one right after

Answer:

Carlos rode further than on Saturday by 107/56 miles.

Step-by-step explanation:

i did the quiz lol

Answer:

Its D

Step-by-step explanation:

I took the test and got it right.

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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To find the general solutions of the given differential equations using D-operator methods, we will use the fact that D-operator (D) represents differentiation with respect to x.

3.1 For the differential equation (D² - 5D + 6)y = e^(-x) + sin(2x), we can factorize the characteristic equation as (D - 2)(D - 3)y = e^(-x) + sin(2x). Solving each factor separately, we have: (D - 2)y = e^(-x) => y₁ = Ae^(2x) + e^(-x) (where A is a constant). (D - 3)y = sin(2x) => y₂ = Bsin(2x) + Ccos(2x) (where B and C are constants). The general solution is y(x) = y₁ + y₂ = Ae^(2x) + e^(-x) + Bsin(2x) + Ccos(2x).

3.2 For the differential equation (D² + 2D + 4)y = e^(2x)sin(2x), the characteristic equation is (D + 2i)(D - 2i)y = e^(2x)sin(2x). Solving each factor separately, we have: (D + 2i)y = e^(2x)sin(2x) => y₁ = Ae^(-2ix)e^(2x)sin(2x) = Ae^(2x)sin(2x)

(D - 2i)y = e^(2x)sin(2x) => y₂ = Be^(2ix)e^(2x)sin(2x) = Be^(2x)sin(2x)

The general solution for the first differential equation is y(x) = Ae^(2x) + e^(-x) + Bsin(2x) + Ccos(2x), and the general solution for the second differential equation is y(x) = Ae^(2x)sin(2x) + Be^(2x)sin(2x), where A, B, and C are constants.

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Answer:

x = 4, y = 5.

Step-by-step explanation:

4x-2=3y-1

y+3=3x-4

Rearranging:

4x - 3y =  1       (A)

-3x + y = -7      (B)

Multiply  B by 3:

-9x + 3y = -21   (C)
Adding A and C:

-5x = -20

x = 4

Substitute for x in equation A:

4(4) - 3y = 1

3y = 15

y = 5.