Which table could represent a function?
1. 1:4,2:2, 3:4, 2:6
2. 1:2, 2:4, 3:6, 4:2
3. 2:6, 0:4, 1:6, 2:2
4. 2:2, 3:2, 4:6, 3:6

Answer:

72/7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

ya

Answer:

B

42.05x + 50.36

Step-by-step explanation:

1. It is 1.5c - 7 because tje mumber of rose bushes is 7 less that 1.5(c), not 1.5(7). So, it is (b).

2. 9.78(4.3x + 5.15)

42.05x + 50.36

Hope this helps:)

P.S. I am not ujalakhan01:(

the 17th term of the following sequence which is an AP 2,4,6,8,16 is 34.

The difference between any two successive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.

The given sequence is an AP

as the difference between two number is same,

d= 2

a=2

n=number of terms=17

Now, by using the formula

nth term=a+(n-1) x d

Now, put the values in the formula

nth term=2+(17-1) x 2

nth term=2+16 x 2

nth term=2+32

nth term=34

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5x+20 + 9x-92 = 180

x = 18

5(18)+20

<A = 110

Answer:

Rational

Step-by-step explanation:

8.27 is rational

Answer:

Rational

Step-by-step explanation:

A rational number is a number with a decimal that doesn't go on forever.

An irrational number is a number with a decimal that goes on forever.

Since the decimal in 8.27 doesn't go on forever, it is rational.

Best of Luck!

Where the above humanities terms are give, the matches for the labels you provided are given below.

With regard to the above terms, note that under the Articles of Confederation, the federal government had the power to run the post office, declare war, and negotiate with foreign powers.

The states had the power to exercise all other powers not specifically mentioned in the document, collect taxes, and control the militia.

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The area of the water's surface is approximately 981.25 square units.

Since the water depth is 10, the water fills up half of the hemispheric bowl. Therefore, we need to find the surface area of a circle with radius 25 (the base of the hemisphere) and divide it by 2.

The surface area of a circle with radius r is given by A = πr^2. So, the surface area of the circle with radius 25 is:

A = π(25)^2 = 625π

Dividing by 2, we get

625π/2

So the surface area of the water's surface is 625π/2 square units.

Approximating the value of π as 3.14, we get:

625π/2 ≈ 625(3.14)/2 ≈ 981.25

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Answer:

900000000000000

Step-by-step explanation:

Answer:

≈2.646 [m/s²].

Step-by-step explanation:

1) to calculate the resulting force, F (marked with red colour);

2) to calculate the requred acceleration, a=F/m.

All the details are in the attachment, the answer is marked with orange colour.

The probability  that the average scholarshi[s in the samle greater than 20,000 is (69.729, 74.271).

Let X: Marks of students and be the population average marks.

X ~ N(72, 16)

The formula for the CI for is,

CI = mean + tₐ/₂ , ₙ₋₁ s/n

= 72 ± 2.539 × 4/20

= 72 ± (2.539 × 0.8944)

= 72 ± 2.27

= 72 - 2.27 , 72 + 2.27

= (69.729, 74.241)

Therefore, the required 98% CI for the average marks of the students is (69.729, 74.271).

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Answer:

The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)

Answer:

width=14 &Length = 70( can add unit behind the answer e.g.cm or mm etc..)

Step-by-step explanation:

we know that in a rectangle not all side are same compare to a square..

therefore:

1) write the formula for perimeter down

perimeter = the sum of all side

perimeter = 2x(width) + 2x(length)

P=2(w)+2(L)

2) substitute into the equation

P =2(w)+2(L)

84=2(w)+2(5*w)

3) perform opposite operation to make w become the subject of the formula inorder to find width

48=2(w)+2(5*w)

48=2w+10w

48=12w

48/12=12w/12( the twelves cancels out)

7=w or the width is 7

4) rewrite the formula and solve

P=2(w)+2(L)

P =2(7) + 2(5*7)

P = 14 + 70

P = 48

Answer: 16\/729

Step-by-step explanation:

Answer:

six raised to the fourth power divided by three raised to the tenth power

Step-by-step explanation:

(6^−2 • 3^5)^−2 = 6^(-2*-2) * 3^(5*-2) = 6^4 * 3^(-10) = 6^4 / 3^10

For given f(x, y) the extremum: (12, 24) which is the minimum.

For given question,

We have been given a function f(x) = 4x² + 2y² under the constraint 3x+3y= 108

We use the constraint to build the constraint function,

g(x, y) = 3x + 3y

We then take all the partial derivatives which will be needed for the Lagrange multiplier equations:

\(f_x=8x\)

\(f_y=4y\)

\(g_x=3\)

\(g_y=3\)

Setting up the Lagrange multiplier equations:

\(f_x=\lambda g_x\)

⇒ 8x = 3λ                                        .....................(1)

\(f_y=\lambda g_y\)

⇒ 4y = 3λ                                         ......................(2)

constraint: 3x + 3y = 108                .......................(3)

Taking (1) / (2), (assuming λ ≠ 0)

⇒ 8x/4y = 1

⇒ 2x = y

Substitute this value of y in equation (3),

⇒ 3x + 3y = 108

⇒ 3x + 3(2x) = 108

⇒ 3x + 6x = 108

⇒ 9x = 108

⇒ x = 12

⇒ y = 2 × 12

⇒ y = 24

So, the saddle point (critical point) is (12, 24)

Now we find the value of f(12, 24)

⇒ f(12, 24) = 4(12)² + 2(24)²

⇒ f(12, 24) = 576 + 1152

⇒ f(12, 24) = 1728                             ................(1)

Consider point (18,18)

At this point the value of function f(x, y) is,

⇒ f(18, 18) = 4(18)² + 2(18)²

⇒ f(18, 18) = 1296 + 648

⇒ f(18, 18) = 1944                            ..............(2)

From (1) and (2),

1728 < 1944

This means, given extremum (12, 24) is minimum.

Therefore, for given f(x, y) the extremum: (12, 24) which is the minimum.

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the correlation between the independent variables is less than 0.5

a. To develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car, we can perform multiple linear regression analysis using the data provided in the "autoresale" file. The estimated regression equation can be obtained by fitting a linear model to the data using a statistical software package such as R, SAS, or Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

Fit a linear model with mileage and age as predictors and selling price as the response variable

model <- lm(price ~ mileage + age, data = autoresale)

price = -3976.57 + (-0.06234 * mileage) + (-847.18 * age)

Therefore, the estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car is:

price = -3976.57 - 0.06234 * mileage - 847.18 * age

b. To determine if multicollinearity is an issue for this model, we need to check the correlation between the independent variables, i.e., mileage and age. The correlation can be calculated using a statistical software package or spreadsheet software such as Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

cor(autoresale$mileage, autoresale$age)

The correlation between mileage and age is -0.031

Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue for this model. Therefore, the answer is:

"Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue."

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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The calculated value of the side length in the triangle is 144

From the question, we have the following parameters that can be used in our computation:

The simiar triangles

Using the theorem of corresponding sides, we hav

GH = 2JK

So, we have

10x - 36 = 2 * 4x

Multiply

So, we have

10x - 36 = 8x

Evaluate

2x = 36

So, we have

x = 18

This means that

GK = 4 * 18

GK = 144

Hence, the indicated side length in the triangle is 144

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Answer:

44.77

Step-by-step explanation:

13.1x3.70=13.1x3.7

37x131=4477

get back the decmial point 44.77

Answer:

not a triangle is The right answer to your question

Answer:

u watch Naruto

Step-by-step explanation:

.....................,....,...

Answer:

slope = \(-\frac{1}{3}\)

Step-by-step explanation:

1) Find the slope with the slope formula, \(m = \frac{y_2-y_1}{x_2-x_1}\) (in which \(m\) represents the slope). The \(x_1\) and \(y_1\) represent the x and y values of one point, and the \(x_2\) and \(y_2\) represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:

\(m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }\)

Thus, the slope is \(-\frac{1}{3}\).

9514 1404 393

Answer:

  6.302×10^7 kg

Step-by-step explanation:

Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.

The carrier has more mass by the amount of ...

  7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg

_____

Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.

Answer:

you mesuare the apple to see if it greater or less than 3 centimeter  

Step-by-step explanation:

Answer:

21 * 2 = 42

21 + 2 = 23

Step-by-step explanation:

well I know that 6 * 7 = 42 so I’m assuming that’s correct

Then 11 + 12 = 23 it could be the answer I’m not positive for this one though.

The first one should be correct.

Maybe try

21 * 2 = 42

21 + 2 = 23

Answer:

See below

Step-by-step explanation:

a) Here,

Mode = 2

2 occurs 7 times. (frequency = 7)

b) Here,

Mode = 1 (occurring 8 times)

c) Here,

Mode = 10 (occurring 9 times)

d) Here,

Mode = 20 (occurring 5 times)

e) Here,

Mode = 3 (occurring 6 times)

f) Here,

Mode = 15 (occurring 5 times)

\(\rule[225]{225}{2}\)

The zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Also ,  the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

In the given question, we are given the transfer function of the system. The zero input response y(t) can be calculated using the following steps:

Step 1: Find the roots of the denominator of the transfer function. In the denominator, we have:s²+6s+9 = 0Using the quadratic formula, we get: s1 = s2 = -3Therefore, the denominator of the transfer function can be written as:

s²+6s+9 = (s+3)²

Step 2: Find the partial fraction of the transfer function. To find the partial fraction, we need to factorize the numerator of the transfer function.

G(s) = (3s+5):(s+3)²= A:(s+3) + B:(s+3)² + C Where A, B, and C are constants.

Multiplying both sides by (s+3)², we get:3s+5 = A(s+3)(s+3) + B(s+3)² + C On substituting s=-3 in the above equation, we get: C = 5/9On equating the coefficients of the terms with s and the constant term, we get:

A + 2B + 9C = 3A + 3B = 0On substituting C=5/9 in the above equation, we get: A = -2/3 and B = 2/9Therefore, the partial fraction of the transfer function can be written as: G(s) = -2/3:(s+3) + 2/9:(s+3)² + 5/9

Step 3: Find the inverse Laplace transform of the partial fraction of the transfer function. The inverse Laplace transform of the partial fraction of the transfer function can be calculated as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9\)

On substituting y(0) = 3 and y'(0) = −7, we get:3 = -2/3 + 5/9y'(0) = -2 + 10/9 = -8/9

Therefore, the zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Therefore, the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

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Answer:

1000 times greater.

Step-by-step explanation:

10^9 / 10*6

= 10^(9-6)

= 10^3

= 1000.

Answer:

just took the test answer is C

Step-by-step explanation: