0,7;2,1;6,3;18,9 continueing numeric pattern

Answer:

swap x and y

Step-by-step explanation:

You can find an inverse function by replacing "x" and "y"

for example:

y = mx + b

becomes

x = my + b

if your equation is:

f(x) = 3(x²) - 3

{remember, f(x) means the same thing as y}

y = 3(x²) - 3

inverse:

x = 3(y²) - 3

this is it, hope this is helpful!!

Answer:

make every (x) a (y)

Answer:

6

Step-by-step explanation:

There are 46 children attending the field trip.

Each van needs to transport 8 children.

To find the number of vans they need, we will divide the number of children by the number of children per van:

46 / 8 = 5.75 ≅ 6 vans

They need 6 vans.

Answer:

2 for 25 cents is a better price

Answer:

6 tons

Step-by-step explanation:

So we know there are 120 passengers. If they all take the limit, which is 50 pounds each, we can multiply the 2 figures to get 120*50=6000 pounds. Since the question is asking us to answer in tons, we must convert 6000 pounds into tons. We can do this by using the convertion factor of 2000 lbs = 1 ton. With this logic, 6000 pounds equals 3 tons. But remember, each passenger can take 2 luggages. So just multiply by 2 to get 6 tons!

I hope this helped!

Please mark brainliest! I really need it. It would be very much appreciated.

Histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

Histogram is used to summarize discrete or continuous data measured on an interval scale. It is often used to describe key features of the distribution of data in a practical way.

A histogram divides the range of possible values ​​in a data set into different classes or groups. For each group, a rectangle is created with a base length equal to the range of values ​​in that particular group and a length equal to the number of observations that fall into that group.

Histograms are similar to column charts, but there are no gaps between the bars. Histograms generally have equal width bars.

Thus, it can be concluded that histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

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Answer: it's 32

Step-by-step explanation:

if you want me to explain put it on comments

Answer:

9.68

Step-by-step explanation:

8 x .1 = 0.8  (10% as a decimal is .1)

8 + 0.8 = 8.8

8.8 x .1 = .88

8.8 + .88 = 9.68

Therefore, Nolan has 8 dollars left to spend on gift C.

Nolan spent 9 dollars and 34 cents on gift A,

and 3 dollars and 12 cents on gift B,

for a total of

9 + 3 = 12 dollars and

34 + 12 = 46 cents spent so far.

Nolan started with 20 dollars, so he has 20 - 12 = 8 dollars remaining for gift C.

By using wildcards (such as "x" and "y") that are replaced with random values when the quiz is taken, simple calculated questions provide a technique to build individual numerical questions whose response is the result of a numerical formula that contains changeable numerical values.

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We need a maximum enlargement of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.

The estimation of Simpson's rule follows an approach where the value of the definite integral \(\int\limits^a_b f{x} \, dx\) is approximated by using a parabolic method of approximation for each subinterval of the interval [a, b].

The formula for calculating Simpon's rule can be expressed as:

\(\mathbf{\int ^b_a f(x) d \simeq \dfrac{\Delta x}{3}[y_o+4y_1+2y_2+4y_3+2y_4+...+4{y_{n-1} +y_n}}\)

Given that:

\(\mathbf{\int ^1_0 7ex^2 dx }\),

We need to determine the fourth derivative; i.e.

\(\mathbf{f'(x) = 14xe^{x^2}}\)

\(\mathbf{f''(x) = 14ex^2 +28x^2e^{x^2} = (14+28x^2)e^{x^2}}\)

\(\mathbf{f'''(x) = 56xe^{x^2} +2(14+28x^2)e^{x^2} = (84x+48x^3)e^{x^2}}\)

\(\mathbf{f^{iv}(x) = (84+144x^2)e^{x^2} +2x(84x+48x^3)e^{x^2} = (84x+312x^2+96x^4)e^{x^2}}\)

The maximum value of the 4th derivative on the interval [0,1] is:

\(\mathbf{f^{iv}(1) = 624e}\) and the error is bounded by:

\(\mathbf{\Bigg| \dfrac{f^{iv}(1) (1-0)^5}{180n^4} \Bigg| = \dfrac{624e}{180n^4}=\dfrac{52e}{15n^4}}\)

Now for the error to be less than 0.0001; we have:

\(\mathbf{\dfrac{52e}{15n^4} < 0.0001}\)

\(\mathbf{52e < 0.0015n^4}\)

\(\mathbf{n^4 > \dfrac{52e}{0.0015}}\)

\(\mathbf{n > \sqrt[4]{ \dfrac{52e}{0.0015}}}\)

n ≅ 17.52.

Therefore, we can conclude that we need a maximum of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.

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Answer:

29

61

Step-by-step explanation:

x^2 - 20

x = 7 and 9

Evaluate

___________

We know the values of x, let's substitute them with the x in the problem :

(7)^2 - 20

49 - 20

29

(9)^2 - 20

81 - 20

61

An equation that is true for all values of the variables in its domain is an identity

Hope that helps!

Answer:

Two triangles are similar.

=> RT/GN = TA/NL

=> 4/x = 8/(x + 5)

=> 4x + 20 = 8x

=> 4x = 20

=> x = 5

=> Option D is correct

Hope this helps!

:)

Minimizing the following expression 4a + 5b + 6c we get the value of the A as 8, that of B as 3 and Value of C is given as 11.

Any Boolean function may be expressed as the product of maxterms or the sum of minterms. This topic was covered in the section on Boolean Function Representation. It is preferable to simplify the given algebraic expression to its most simplified form because the total number of literals present in such expressions is typically quite high (as well as the complexity of the gates of digital logic implementing a Boolean function is directly related to the complexity of the algebraic expression from which the function would be implemented).

                           A                 B                C              TOTAL                MAX

MINIMIZE            4                 5                6

DV                       8                 3                11                  113

C1                        1                  1                                       11                        11

C2                       1                  -1                                      5                         5

C3                      -1                 -1                                      0                         0

C4                      7                  12                                    92                      35

Therefore, The value of A is 8

The value of B is 3

The value of C is 11

The value of Z is 113.

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Answer:

m=4/-3

Step-by-step explanation:

the equation for slope (m) when given two points is (y2-y1)/(x2-x1)

we are given the points (9,3) and (6,7)

we can label the points:

x1=9

y1=3

x2=6

y2=7

now substitute into the equation

m=(7-3)/(6-9)

subtract

m=4/-3

the slope is 4/-3

hope this helps!

Step-by-step explanation:

Answer:

Poorly formated. Please fix the question so it is more understandable!

The inverse Laplace transform of G(s) is \(g(t) = 10e^{-t} - 10e^{-3t}\).

To find the inverse Laplace transform of the given function G(s), we can use partial fraction decomposition and known Laplace transforms. The partial fraction decomposition of G(s) is:

\(G(s) = 10s^2e^{-s} / (s+1)(s+3)\)

To perform the partial fraction decomposition, let's write G(s) in the following form:

G(s) = A/(s+1) + B/(s+3)

To find the values of A and B, we need to find a common denominator for the two fractions on the right-hand side:

\(10s^2e^{-s} = A(s+3) + B(s+1)\)

Expanding the right-hand side:

\(10s^2e^{-s} = As + 3A + Bs + B\)

Now, equating the coefficients of \(s^2\), s, and the constant term:

Coefficient of \(s^2\):

10 = A

Coefficient of s:

0 = A + B

Constant term:

0 = 3A + B

From the first equation, A = 10. Substituting this value in the second and third equations:

0 = 10 + B

0 = 3(10) + B

From the second equation, B = -10. Substituting B = -10 into the third equation:

0 = 3(10) - 10

0 = 30 - 10

0 = 20

Now that we have the values of A and B, we can rewrite G(s) as:

G(s) = 10/(s+1) - 10/(s+3)

To find the inverse Laplace transform of G(s), we can use the known Laplace transform pairs. The inverse Laplace transform of 10/(s+1) is 10e^(-t), and the inverse Laplace transform of \(-10/(s+3) is -10e^{-3t}\). Therefore, the inverse Laplace transform of G(s) is:

\(g(t) = 10e^{-t} - 10e^{-3t}\)

So, the inverse Laplace transform of G(s) is \(g(t) = 10e^{-t} - 10e^{-3t}\).

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Answer:

24

Step-by-step explanation:

2cm x 4cm x 3cm =24cm*3

Answer:

\(d=18\)

Step-by-step explanation:

Definition -  reduction refers to the rewriting of an expression into a simpler form

We can reduce \(\frac{4}{8}\) to \(\frac{1}{2}\)

Our equation is now \(\frac{6}{d-6} =\frac{1}{2}\)

Now we can cross multiply

Definition - given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

\(d-6=12\)

We are adding because we want our variable to be on one side of the equation

\(d=18\)

\(\frac{6}{18-6} =\frac{1}{2}\)

Subtract and we get

\(\frac{6}{12} =\frac{1}{2}\)

Which makes it true

Answer:

30 miles per gallon

Step-by-step explanation:

I jus Done this one

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

Answer:

the correct answer is A

Step-by-step explanation:

The total surface area of the triangular prism is calculated to be equal to 608 square centimeters.

The triangular prism can be observed to be a large rectangle and two identical triangles, so we shall calculate for the total surface area as follows:

area of one triangle = 1/2 × 8 cm × 12 cm

area of one triangle = 48 cm²

area of the two triangle faces = 2(48) = 96 cm²

area of the large rectangle face = (10 + 12 + 12) cm × 16 cm = 512 cm²

Total surface area of prism = 96 cm² + 512 cm² = 608 cm²

Therefore, the total surface area of the triangular prism is calculated to be equal to 608 square centimeters.

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Answer:

Then it would be 4n squared + 21

Step-by-step explanation:

Answer:

(2n - 7)^2

Step-by-step explanation:

both 4n^2 and 49 are perfect squares so take their square roots and get 2n and 7

Answer:

3x-5

Hope it Helps!!

.................

Answer:

3.2

Step-by-step explanation:

Based on Tasha's ability to quickly wake up and deny that she had been asleep, it is most likely that she was experiencing Stage 1 sleep during her calculus class.

Tasha's symptoms of rolling eyes and twitching arm suggest that she may have briefly fallen into a sleep state while in class. However, her quick awakening and denial of sleeping may indicate that she experienced a type of sleep called stage 1 sleep. Stage 1 sleep is the lightest stage of non-REM sleep, where the body is just starting to relax and transition from wakefulness to sleep. It usually lasts for only a few minutes and can be easily disrupted by external stimuli. Tasha's ability to wake up quickly and deny sleeping suggests that she may have only entered this initial stage of sleep.

Based on Tasha's symptoms and response, it is possible that she experienced stage 1 sleep during class. This explanation fits with her brief lapse in attention but quick return to wakefulness. Tasha experienced Stage 1 sleep in her calculus class. Stage 1 sleep is characterized by light sleep, where a person can be easily awakened and may not even realize they were asleep. During this stage, eye movements and muscle activity may be present, such as eye rolling or arm twitching.

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Answer:

9.5

Step-by-step explanation:

Substitute a = 5 and b = 1 into the expression

\(\frac{3(5)^2+1}{9(1)^3-1}\)

= \(\frac{3(25)+1}{9(1)-1}\)

= \(\frac{75+1}{9-1}\)

= \(\frac{76}{8}\)

= 9.5

Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

Answer:

El número resultante es 902 billones 43 mil millones. (\(x = 902'043.000'000.000\))

Step-by-step explanation:

Antes de proceder a escribir a resolver este problema, debemos recordar las siguientes equivalencias:

Una decena de millares de millón - 10.000'000.000

Una centena de billón - 100'000.000'000.000

Una unidad de billón - 1'000.000'000.000

Un millar de millón - 1.000'000.000

El ejercicio consiste en sumar las cantidades dadas para obtener el total, es decir:

\(x = 40.000'000.000 + 900'000.000'000.000+2'000.000'000.000+3.000'000.000\)

\(x = 902'000.000'000.000+43.000'000.000\)

\(x = 902'043.000'000.000\)

El número resultante es 902 billones 43 mil millones. (\(x = 902'043.000'000.000\))

El número solicitado es 902,043,000,000.

Para escribir el número solicitado, se debe realizar previamente un análisis de las características dadas:

Luego, deben sumarse todas estas sumas, para obtener el resultado deseado:

Por lo tanto, el número solicitado es 902,043,000,000.

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Answer:

The third option

Step-by-step explanation:

- 1 1/6