a model house is 12 cm long if it was built with a scale factor of 3 cm equal to 7 feet then how long is the house in real life

Answer:

it would be the second answer

Step-by-step explanation:

Answer:

40 000

Step-by-step explanation:

4 thousands = 4000

10 x 4000 = 40 thousands = 40 000

Answer:

40,000

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

matches all the data

The statement "If the equation of a function is a rational expression the function is a rational" is true.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

If the equation of a function is a rational expression the function is a rational, the statement is true.

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The correct answer is Graph B

Explanation:

The purpose of histograms is to display visually the frequency of a variable. Additionally, a higher bar represents a higher frequency.

According to this, the correct histogram is graph B because in this the frequencies for each batting average are displayed correctly. For example, the highest bar is related to the average 0.330-0.339, which has the highest frequency (28), this is followed in height by the bar that represents a frequency of 24 and is related to the average 0.340-0.349.

At the same time, the averages 0.320-0.329 and 0.360-0.369 that have a frequency of 2 are represented through the shortest bars, while the average 0.350-0.359 with a frequency of 4 is related to a bar with exactly the double of heigh than those with a frequency of 2.

Answer:

graph B

Step-by-step explanation:

what happened to your screen

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

\(L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}\)

When t = 0, A(0) = 0 (since the forest floor is initially clear)

\(A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L\)

\(A = \frac{L}{k} - \frac{L}{k} e^{kt}\)

So, D = R - A =

\(D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}\)

when t = 0(at initial time), the initial value of D =

\(D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}\)

Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

Answer:

Step-by-step explanation:

\(\text{The area of a circle is}\\ \\ A=\frac{\pi d^2}{4}\\ \\ d=20ft\\ \\ A=\frac{\pi (20^2)}{4}\\ \\ A=\frac{400\pi}{4}\\ \\ A=100\pi ft^2\)

Answer

0.3

Step-by-step explanation:

Answer: 3 and 4

Step-by-step explanation:

Answer:

The complete factored form of this equation is (d + 6)²

Step-by-step explanation:

The first step in factoring this equation is multiply the first term and the last term together. Out first term is d² and our last term is 36. Since d² does not have a coefficient, then we assume this number to be 1.

1 × 36 = 36

So, now we need to find two factors that multiply to 36 and add together to get 12. Two factors that best represents this is 6 and 6. So, we will plug these numbers into our equation. Replace 12d with 6d + 6d.

d² + 6d + 6d + 36

Group the first two terms together and the last two terms together.

(d² + 6d) + (6d + 36)

Now, find the greatest common factor of each parentheses and factor the terms.

d(d + 6) + 6(d + 6)

From looking at this, we can tell that this equation is a perfect squared equation. So, this means instead of writing both parentheses, we can just write one of the parentheses and square it.

So, the factored form of this equation is (d + 6)²

Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

Based on experimental probability, 28 of the next 64 spins you expect on land on red

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

It is given that out of 16 spins, a purple-and-red spinner landed on purple 9 times and on red 7 times..

Experimental probabilities are

p(purple )= purple/total = 9/16

p(red )= red/total = 7/16

Based on experimental probability, we need to find how many of the next 64 spins would we expect on land on red.

The expected number of red in 64 spins is

expected red =64 * p(red ) = 64*7/16 = 28

Based on experimental probability, 28 of the next 64 spins you expect on land on red

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In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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Answer:

Area = xy/2

= 14 × 30/2

=210m2

Check the picture below.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - 2~~)^2 + (~~7 - 1~~)^2} \implies d=\sqrt{( 3 )^2 + ( 6 )^2} \\\\\\ d=\sqrt{ 9 + 36 } \implies d=\sqrt{ 45 }\implies d\approx 6.7\)

The value of 3.52 × 2.5 is 8.8

Multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations.

For example if there are 10 groups and 5 mangoes are put in each group, the total number of mangoes in the region is calculated as;

10groups × 5 mangoes each

= 50mangoes

Similarly , solving 3.52 × 2.5

changing both of the term to whole number we multiply both term by 100.

Therefore , it will be 352 × 250. It will be easier to solve this way.

Therefore 352 × 250 = 88000

we can divide the answer by 10000 again

= 88000/10000 = 8.8

therefore 3.52 × 2.5 = 8.8

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Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

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Hello.

First, let's convert 4 into a fraction.

Here's how we do it:

\(\mathrm{4=\displaystyle\frac{4}{1} }\)

Now, what is \(\displaystyle\frac{4}{1}\) divided by \(\displaystyle\frac{1}{8}\)?

In order to figure that out, we need to flop the second fraction over:

\(\displaystyle\frac{4}{1} : \frac{8}{1}\)

Now, multiply:

\(\mathrm{\displaystyle\frac{4}{1} *\frac{8}{1} }\)

\(\mathrm{\displaystyle\frac{32}{1} }\)

\(\mathrm{32}\)

Therefore, the final answer is \(\mathrm{32}\).

I hope this helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer:100 degrees

Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.

ABC is 100

The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.

θ = arc* 2

θ = 50*2 = 100

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Step-by-step explanation:

hope it helps you see the attachment for further information

Answer:

The rate of change is M= -9/13 (M= negative nine over thirteen)

Step-by-step explanation:

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

It will take Lisa and Felipe approximately 4.95 hours to fill the order by working together.

To solve this problem, we can use the formula:

1/T = 1/T₁ + 1/T₂

where T is the time taken to complete the job when both Lisa and Felipe work together, T₁ is the time taken by Lisa to complete the job, and T₂ is the time taken by Felipe to complete the job.

Substituting the given values into the formula, we get:

1/T = 1/9 + 1/11

Simplifying the right-hand side of the equation, we get:

1/T = (11 + 9)/(9 x 11)

1/T = 20/99

Multiplying both sides by 99, we get:

T = 99/20

Therefore, working together, Lisa and Felipe can complete the job in 4.95 hours, or approximately 4 hours and 57 minutes.

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The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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