the base of an isosceles triangle is 12 cm and its perimeter is 48 cm find its area​

Answer:

15m/s

Step-by-step explanation:

Answer:

Rate of Change = 7

Step-by-step explanation:

The rate of change given is simply asking you to find the slope of the given values.

Interpreting your x=0 you have the value of 32 as you Y-intercept.

Now that you see when x=1 you have the value of 39.

When subtracted from one another you get:

39 - 32 = 7

This would mean the value of X is 7 -> This is the rate of change!

If you want more proof that it is 7, here it is!

Plug in x=7 for 3x you get 14 + 39 = 53

Plug in x=7 for 6x you get 21 + 53 = 74

Frank cannot recover the reward because he was unaware of the reward being offered by Emma.

In order to claim the reward, one typically needs to have knowledge of the reward prior to finding and returning the lost item or fulfilling the specified condition. Since Frank was unaware of the reward, he would not have had the opportunity to intentionally seek the dog with the expectation of receiving the reward. As a result, Emma is not obligated to provide the reward to Frank in this situation.

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Answer:

15.00w < 129.99

hope it helps

Answer:

10

Step-by-step explanation:

Answer:

(a) \(x\³ - 6x - 6\)

(b) Proved

Step-by-step explanation:

Given

\(r = $\sqrt[3]{2} + \sqrt[3]{4}$\) --- the root

Solving (a): The polynomial

A cubic function is represented as:

\(f = (a + b)^3\)

Expand

\(f = a^3 + 3a^2b + 3ab^2 + b^3\)

Rewrite as:

\(f = a^3 + 3ab(a + b) + b^3\)

The root is represented as:

\(r=a+b\)

By comparison:

\(a = $\sqrt[3]{2}\)

\(b = \sqrt[3]{4}$\)

So, we have:

\(f = ($\sqrt[3]{2})^3 + 3*$\sqrt[3]{2}*\sqrt[3]{4}$*($\sqrt[3]{2} + \sqrt[3]{4}$) + (\sqrt[3]{4}$)^3\)

Expand

\(f = 2 + 3*$\sqrt[3]{2*4}*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4\)

\(f = 2 + 3*$\sqrt[3]{8}*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4\)

\(f = 2 + 3*2*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4\)

\(f = 2 + 6($\sqrt[3]{2} + \sqrt[3]{4}$) + 4\)

Evaluate like terms

\(f = 6 + 6($\sqrt[3]{2} + \sqrt[3]{4}$)\)

Recall that: \(r = $\sqrt[3]{2} + \sqrt[3]{4}$\)

So, we have:

\(f = 6 + 6r\)

Equate to 0

\(f - 6 - 6r = 0\)

Rewrite as:

\(f - 6r - 6 = 0\)

Express as a cubic function

\(x^3 - 6x - 6 = 0\)

Hence, the cubic polynomial is:

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

Solving (b): Prove that r is irrational

The constant term of \(x^3 - 6x - 6 = 0\) is -6

The divisors of -6 are: -6,-3,-2,-1,1,2,3,6

Calculate f(x) for each of the above values to calculate the remainder when f(x) is divided by any of the above values

\(f(-6) = (-6)^3 - 6*-6 - 6 = -186\)

\(f(-3) = (-3)^3 - 6*-3 - 6 = -15\)

\(f(-2) = (-2)^3 - 6*-2 - 6 = -2\)

\(f(-1) = (-1)^3 - 6*-1 - 6 = -1\)

\(f(1) = (1)^3 - 6*1 - 6 = -11\)

\(f(2) = (2)^3 - 6*2 - 6 = -10\)

\(f(3) = (3)^3 - 6*3 - 6 = 3\)

\(f(6) = (6)^3 - 6*6 - 6 = 174\)

For r to be rational;

The divisors of -6 must divide f(x) without remainder

i.e. Any of the above values  must equal 0

Since none equals 0, then r is irrational

Based on the given information, we can conclude that g(7) equals 1. However, the limit of g(x) as x approaches 7 does not exist. These conclusions are obtained by applying properties of limits and continuity to the equation provided.



To find the values requested, we can use the given information and apply the properties of limits and continuity.

(a) To find g(7), we can rewrite the given limit as x approaches 7:

lim[(f(x) + 7g(x))] = 16

lim[f(x)] + 7lim[g(x)] = 16

Since f(x) is continuous, we can evaluate its limit at x = 7:

lim[f(x)] = f(7) = 9

Substituting this information back into the equation:

9 + 7lim[g(x)] = 16

7lim[g(x)] = 16 - 9

7lim[g(x)] = 7

lim[g(x)] = 1

Therefore, g(7) = lim[g(x)] = 1.

(b) To find the limit of g(x) as x approaches 7, we can again use the given equation: lim[(f(x) + 7g(x))] = 16

As x approaches 7, we know that lim[f(x)] = f(7) = 9, and we found in part (a) that lim[g(x)] = 1. Substituting these values into the equation:

9 + 7(1) = 16

9 + 7 = 16

This equation is not true, indicating that there is an inconsistency. Therefore, the limit of g(x) as x approaches 7 does not exist.

In summary: (a) g(7) = 1

(b) The limit of g(x) as x approaches 7 does not exist.

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Answer:

Below

Step-by-step explanation:

Equivalent interest rate in decimal form will be   ( 1+i)^n - 1    

   where i = periodic interest in decimal = .05/4     n = periods = 4  per year  

(1+ .05/4)^4 -1 = 5.09 % equivalent interest per year

.05 / 4 = .0125    or    1.25%   16 times   ( 4 times per year x 4 years)  

Answer:

x = 6

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 25 when y = 100 , then

100 = 25k ( divide both sides by 25 )

4 = k

y = 4x ← equation of variation

When y = 24 , then

24 = 4x ( divide both sides by 4 )

6 = x

Answer:

-33

Step-by-step explanation:

-11 + -11 + -11 = -33

-11 x 3 = -33

Hope this helps you :)

Hey there!

\(-11+-11+-11\)

If you want to solve, multiply -11 by 3 because it is being multiplied 3 times.

\(-11*3=-33\\-33(ANSWER)\)

Hope this helps!

\(\text {-TestedHyperr}\)

The reflection of the triangle is graph (d) because it change the orientation of the triangle

The given parameter is the graph of the triangle

On the graph, we can see that the triangle completely seats in the first quadrant

A reflection of the triangle would change the orientation of the triangle and it would move the triangle away from the first quadrant

Using the above as a guide, the image that shows the above highlight is the graph (d)

Hence,  the reflection of the triangle is graph (d)

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Based on the table, the minutes a person has to run to burn 100 calories is 20 minutes

Ratio shows the equivalent relationship that exists between two or more numbers. A ratio table can be described as table that shows equivalent relationship between two numbers.

The first step is to determine the ratio between the minutes run and the calories burned. To do this, divide any of the minutes run on the table by the corresponding calories burned.

Ratio = minutes run / calories burned

8 / 40 = 1/5

Now, multiply this ratio by 100

1/5 x 100 = 20 minutes

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Answer:

c

Step-by-step explanation:

Answer:

24/34=12/17=.7058..................

Step-by-step explanation:

The ratio of the leading coefficients and the equation of the horizontal asymptote is degree of numerator and denominator is equal.

The term coefficients in math is defined as the coefficient of the term of highest degree in a polynomial.

Here we have given that  the ratio of the leading coefficients and the equation of the horizontal asymptote.

The term horizontal asymptote is known as  a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.

As we all know that if the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote is equal to the ratio of the leading coefficients.

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Answer:

24 meters

Step-by-step explanation:

Just did it on IXL

Answer:

Y is 5 and X Is 5 Very easy . . . so it's just 5

Answer:

1/16

Step-by-step explanation:

Answer: I believe you can find the answer! Therefore, I will include how to solve it and not the answer.

Step-by-step explanation:

First step: Make prediction

Second step: solve

Answer: \(y-1=\dfrac32(x+3)\)

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = \(\dfrac{d-b}{c-a}\)

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =\(\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}\)

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

\((y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)\)

Required equation: \(y-1=\dfrac32(x+3)\)

Oe starts with 5 1/4 hectoliters of water and drinks 2 dekaliters. To find out how many centiliters are left over, we need to convert the units and subtract the amount Oe drank from the initial amount of water.

To solve the problem, we first convert the units to a common measurement. We know that 1 hectoliter is equal to 100 dekaliters and 1 dekaliter is equal to 10 centiliters.

Therefore, 5 1/4 hectoliters can be converted to (5 * 100) + (1/4 * 100) dekaliters, which equals 525 dekaliters.

Next, we subtract the 2 dekaliters Oe drank from the initial amount of water: 525 dekaliters - 2 dekaliters = 523 dekaliters.

To find the amount in centiliters, we multiply by 10: 523 dekaliters * 10 = 5,230 centiliters.

Therefore, there are 5,230 centiliters of water left over after Oe drinks 2 dekaliters.

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Here, we are required to identify what is the variable that determines the value of the output in a function.

Most mathematical functions take the form;

y(x) = polynomial in terms of x.

such as; y = 5x + 6

In the scenario above; the connotation f(x) can simply be written in words as;

Consequently, the value of x is the determinant of the corresponding value of y.

This means that y(output) is dependent on x(input) and as such;

This concept is evident in Regression Analysis.

The variable y can be termed the Dependent variable and the variable x can be termed the Independent variable.

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Answer:

160

Step-by-step explanation:

The length of the arc \(\widehat{AB}\) in terms of pi, obtained from the equation for the circumference of a circle is; \(\widehat{AB}\) = [1/3]·π

An arc of a circle is a part of the circumference of the circle. The length of an arc of a circle is; (θ/360) × 2·π, where, θ is the angle at the center  formed at the circle by the radius from the limits of the arc.

The radius of the circle = 3 units

The measure of the arc of the circle, m\(\widehat{AB}\) = 120°

Therefore; The length of the arc = (120/360) × 2·π =  π/3

The length of the arc, m\(\widehat{AB}\) = 120°, is; \(\widehat{AB}\)  = (1/3) × π

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The solvent characteristics of the formed plate would probably change from those of the unaltered plate development process if it had been developed with 5% ethyl acetate in hexanes.

Hexanes are nonpolar while ethyl acetate is polar, therefore mixing the two together would probably produce a more polar solvent solution.This might alter the chemicals' solubility and movement on the plate, possibly resulting in various separation patterns and band intensities.Additionally, it's feasible that the 5% ethyl acetate in hexane solution will improve the separation of the chemicals on the plate since the solvents' polar and nonpolar characteristics.

May combine to do so.However, it would rely on the different kinds of compounds on the plate and each one's unique solubility characteristics.

Conclusion: The 5% ethyl acetate in hexanes produced plate may have varied solvent characteristics, which may result in different separation patterns and band intensities, but it is impossible to know for sure without additional testing and analysis of the precise substances on the plate.

Complete question:

The thin‑layer chromatography (TLC) plate shown was developed with 20% ethyl acetate in hexanes. (4) Suppose the plate had instead been developed with 5% ethyl acetate in hexanes. Determine whether each plate is a possible result of the adjusted development process and its conclusion.

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Graph option B is the correct answer.

Graphical representation refers to the use of charts and graphs to visually display, analyse, clarify, and interpret numerical data, functions, and other qualitative structures.

Given are function,

y = x+1 ≤0 and y = 3x

The best demonstration of these functions can be seen in graph 2.

Hence, Graph option B is the correct answer.

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The linear inequality for the graph in this problem is given as follows:

y ≥ 2x/3 + 1.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by 3, y increases by 2, hence the slope m is given as follows:

m = 2/3.

Then the linear function is given as follows:

y = 2x/3 + 1.

Numbers above the solid line are graphed, hence the inequality is given as follows:

y ≥ 2x/3 + 1.

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No, it is not required to be accurate. The growth rates of the two functions can vary.

It's not necessary for log f(n) to equal log g(n). Depending on the equation's constants and the inputs to the two functions, the growth rates of the two functions may differ. For instance, log f(n) = 2 log n and log

g(n) = 3 log n,

which are not equal, if

f(n) = n2 and g(n) = n3.

In this instance, log f(n) is equal to (log n) and log g(n) to (log n3), indicating that the two functions grow at various rates. Likely not equal are log f(n) and log g(n) if

f(n) = n and g(n) = n2,

respectively. Log f(n) is defined as (log n) and log Therefore, the statement "log f(n) = (log g(n)" is not necessarily true.

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