What is the
approximate perimeter of
ADEC if rectangle ABCD has a length
of 4.6 centimeters?

Answer:

Step-by-step explanation:

Q = F(K,L) = 3K+2L.

Answer:

the last box is -4, 28 x -1/7 is -4

Answer:

\( \sf \: 28y - \boxed{ \sf 4}\)

Step-by-step explanation:

Given expression,

\( \sf \rightarrow \: 28(y - \frac{1}{7} )\)

Let's simplify the expression,

\( \sf \rightarrow \: 28(y - \frac{1}{7} )\)

\( \sf \rightarrow \: 28(y) - 28( \frac{1}{7} )\)

\( \sf \rightarrow \: 28y - \frac{28}{7} \)

\( \sf \rightarrow \: 28y - 4\)

Hence, the answer is 28y - 4.

Answer:

The values of x that satisfy the equation are x = 13 and x = 1. The values x = -29 and x = 42 do not satisfy the equation.

Answer:

3k

Step-by-step explanation:

k-3k = -2k

-2k+5k = 3k

..........

Answer:

B.

Step-by-step explanation:

hope it helps :)

The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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Answer:

what are solving it with??

The value of x from the shape is 5.6

Since the shapes are similar, hence the ratio of the sides is equal to a constant. Mathematically;

10/14 = 4/x

10x = 14 * 4

10x = 56

Divide both sides by 10

10x/10 = 56/10

x = 5.6

Hence the value of x is 5.6

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Answer:

X=5.6

Step-by-step explanation:

Distance is increasing with a speed of 0.2 Miles/Min

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Time in Minutes      Distance in Miles

0                              0.0

2                              0.4

4                              0.8

6                              1.2

8                              1.6

Here, Myra’s distance is increasing as time increase with a constant Speed.

Now, In every 2 mins distance traveled = 0.4 Miles

Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min

Thus, Distance is increasing with a speed of 0.2 Miles/Min.

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Answer:

-2a if you're Simplifying it and 2\5 if you're going for a decimal

The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

The equation of a circle is given by the formula,

\((x-a)^{2} + (y -b)^{2} = r^{2}\)

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

\((x-4)^{2} + (y-12)^{2} = 9\)

\((x-a)^{2} + (y -b)^{2} = r^{2}\)

\((x-4)^{2} + (y -9)^{2} = 3^{2}\)

On  observing this equation we will get that the value of (a,b) is (4,12).

Thus, The equation indicates that the center of the window is 12 feet from the ground

window span = diameter of circle

window span = 2r

= 2 × 3 (radius = 3)

= 6

Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

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Answer:

Answers

Step-by-step explanation:

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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The answer is 34.54 cm

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Radius=11cm

Thus circumference of the semi-circle is = πr

                                                                      =3.14×11

                                                                       =34.54 cm

Hence, The answer is 34.54 cm

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\(a\cdot a^2+b\cdot a+c=a^3+ab+c\)

Answer:

option 1 & option 5

Step-by-step explanation:

In a parallelogram,

1) opposite sides are congruent

2) So, PS = QR = 31

Answer:

Opposite sides are congruent

PS = 31

Step-by-step explanation:

based on what I learned when I was grade 9 and this topic is one fof my favorite so Yeh

hope its correct (～￣▽￣)～

Answer:

4 1/12

Step-by-step explanation:

5-1 and 11/12

5-1=4

4-11/12=4 and 1/12

"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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Answer:

--------------

Average speed equation:

Substitute 350 for d and 5.15 for t:

The average speed must be approximately 68 km per hour.

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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The Central Limit Theorem (CLT) is an important theorem in statistics because it serves as the foundation for various statistical techniques and analyses.

The CLT states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the population's original distribution, provided that the population has finite mean and variance.
Normality:

The CLT establishes the concept of normality, which is a critical assumption in numerous statistical tests such as the t-test, z-test, and ANOVA. By knowing that the sample means are normally distributed, we can apply these tests to make inferences about population parameters.
Simplification:

Due to the CLT, we can simplify complex statistical problems by using normal distributions instead of dealing with the original population distribution.

Calculations more manageable and allows us to utilize the standard normal distribution table.
Confidence intervals:

The CLT enables us to construct confidence intervals for population parameters such as the mean.

Essential in estimating unknown population parameters based on sample data and understanding the associated uncertainty.
Margin of error:

The theorem helps in determining the margin of error for estimates, allowing us to quantify the accuracy of our estimates and make better decisions based on data.
Large sample sizes:

The CLT is particularly relevant when dealing with large sample sizes, as the distribution of sample means becomes more normal, and we can apply various statistical techniques with greater confidence.
The Central Limit Theorem is important in statistics because it enables us to assume normality, simplify problems, construct confidence intervals, determine the margin of error, and apply various statistical techniques with greater confidence, especially when dealing with large sample sizes.

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Answer:

A to the 4th power

Step-by-step explanation:

Answer:

Where the question?

Step-by-step explanation:

Answer:

Option b: y = x^5

Step-by-step explanation:

The functions are:

a) y = 5*x

b) y = x^5

c) y = 3*x^3 + 10

d) y = 1000*x^3 + 1

This is really simple, here we need to know that when we have powers of x:

x^n and x^m

The one with the larger exponent will grow faster (specially for larger values of x)

Only with this, we can guess that the correct option is b.

But let's check that.

The other function that has the largest exponent (and also a very large coefficient) is option d

y = 1000*x^3 + 1

Now, if we evaluate both functions b) and d) in x = 1000, we get:

b) y = 1000^5

While in option d we have:

d) y = 1000*1000^3 + 1 = 1000^4 + 1

And clearly:

1000^5 > 1000^4 + 1

For larger values of x, this difference will be larger (you could also compare the function y = x^5 with the other ones for this value of x, and in all the cases you will see that option b is the larger one).

Then the correct option is b.

Answer: Based on the graph, I believe that the answer is a. x = -1/4, y = -1/2

Step-by-step explanation:

Answer: 4900

Step-by-step explanation:

Answer:

Step-by-step explanation: Given that a civil servant own a car is 1/6.

A) The Pr. that each own a car = Pr of each multiplied by the other.

Pr = 1/6 ×1/6

P = 1/36

B) Pr that only one owns a car

= 1/6 × (1-1/6) + 1/6 × (1-1/6)

= 1/6 × 5/6 + 5/6 × 1/6

= 5/36 + 5/36

= 10/36

= 5/18

Solution:

Given:

To get the amount, we use the formula below;

Substituting the values into the formula,

Therefore, the amount is $18,449.00

Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

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