(53)
How much money is 60% of $45?

Answer:

3

Step-by-step explanation:

The 1/3 of 18 is 6 after applying arithmetic operation the answer is 1/3 because (1/3)18 = 6.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The fraction of 18 is 6.

Let's suppose the x of 18 is 6

x of 18 = 6

18x = 6

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

x = 6/18

x = 1/3

Thus, the 1/3 of 18 is 6 after applying arithmetic operation the answer is 1/3 because (1/3)18 = 6.

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Answer:

1000m is greater than 10000cm

Step-by-step explanation:

centimeter to meters would be

10000cm --) 100m

Answer:

1000 m is greater

Step-by-step explanation:

Hope it helps you:)

Answer:

$4680 after one year

$4867.20 after 2 years

Step-by-step explanation:

4500 x 1.04 = 4680

4680 x 1.04 = 4867.20

Answer:

a)

Given the runner is jogging at a constant speed of 3.1 mph, we can construct a function representing distance by multiplying 3.1mph by t, the number of hours (I assume).

Answer: d(t) = 3.1t

or d(t) = 3.1 * t

3.1 is being multiplied by t because 3.1 mph is the speed, and t is time.

Distance = rate (which is speed) * time (t)

b)

To find the inverse, time in terms of distance, we must manipulate the equation.

d(t) will be expressed as d.

d = 3.1t

Manipulate this by dividing by 3.1 to solve for time:

\(\frac{d}{3.1} = t\)

Given a distance, we can now solve directly for time.

Answer: t(d) = \(\frac{d}{3.1}\)

or t(d) = d / 3.1

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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The parameter often associated with enzyme affinity for substrates is Km.

Km, also known as the Michaelis constant, is a parameter commonly used to quantify the affinity of an enzyme for its substrate. It is an important parameter in enzyme kinetics and plays a crucial role in determining the efficiency of an enzyme-substrate interaction.

Km represents the substrate concentration at which the rate of the enzymatic reaction is half of its maximum velocity (Vmax). In other words, enzymes with lower Km values have higher affinity for their substrates, as they can achieve half of their maximum velocity at lower substrate concentrations. Therefore, Km serves as an indicator of the enzyme's ability to bind and convert substrates into products efficiently.

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The critical point is (0,0). The relative maximum value is f(0,0) = 1 and there is no relative minimum value.

To find the critical point(s), we need to find where the gradient of the function is equal to zero:

∇f(x, y) = (-18x, -14y)

Setting each component equal to zero, we get:

-18x = 0 and -14y = 0

Which gives us:

x = 0 and y = 0

To classify the nature of this point using the second derivative test, we need to find the Hessian matrix:

H(f)(x,y) = | -18 0 || 0 -14 |

The determinant of the Hessian matrix is:

det(H(f)(0,0)) = (-18)(-14) = 252

Since the determinant is positive and the upper-left entry of the Hessian is negative, we can conclude that the critical point (0,0) is a relative maximum.

To find the relative extrema of the function, we can check the value of the function at the critical point and compare it to the values of the function at points near the critical point:

f(0,0) = 1

f(0.1,0.1) = 1 - 9(0.1)² - 7(0.1)² = 0.94

f(-0.1,-0.1) = 1 - 9(-0.1)² - 7(-0.1)² = 0.94

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Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)

now, the y-intercept occurs when x = 0, recheck the picture below.

The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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Answer:

3.4 and 3 2/5

Step-by-step explanation:

5 3/5 = 5.6

5.6 - 2.2 = 3.4

3.4 = 3 4/10 = 3 2/5

Step-by-step explanation:

soye9685e06e96elhfouo9tsr0yee3079e97

Answer:

he is weird

Step-by-step explanation:????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

With an error of magnitude no more than 6×10^−4, the values of x for which sin x can be replaced by x - x^3/6 are roughly: -0.3728 ≤ x ≤ 0.3728

To find the values of x for which sin x can be replaced by x - x^3/6 with an error of magnitude no greater than 6×10^−4, we need to analyze the Taylor series expansion of sin x around x = 0. The Taylor series for sin x is:

sin x = x - x^3/6 + x^5/120 - x^7/5040 + ...

We are given the approximation sin x ≈ x - x^3/6, which corresponds to the first two non-zero terms of the Taylor series. To find the error bounds, we consider the next term in the series, x^5/120. To have an error no greater than 6×10^−4, we need:

|x^5/120| ≤ 6×10^−4

Now, solve for x:

|x^5| ≤ 72×10^−4
|x| ≤ (72×10^−4)^(1/5)

Calculating the fifth root gives:

|x| ≤ 0.3728

Therefore, the values of x for which sin x can be replaced by x - x^3/6 with an error of magnitude no greater than 6×10^−4 are approximately:

-0.3728 ≤ x ≤ 0.3728

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Answer:

The answer is 5 because it is what it is.

Step-by-step explanation:

Answer:

Infinite solutions

Step-by-step explanation:

4x+6y-10=0 --- eqn 1

2x+3y=5 --- eqn 2

4x+6y = 2x+3y

4x+6y = 2(2x+3y)

4x+6y = 4x+6y (proven)

If the marginal rate of technical substitution for a cost-minimizing firm is 10, and the wage rate for labor is $5, then the rental rate for capital in dollars is 50 cents.

The marginal rate of technical substitution (MRTS) represents the rate at which a firm can substitute one input for another while maintaining the same level of output. In this case, the MRTS is given as 10, which means that the firm can replace 10 units of capital with 1 unit of labor while keeping the output constant.

To determine the rental rate for capital, we need to compare the relative prices of labor and capital. The wage rate for labor is given as $5, which is the price of labor per unit. Since the MRTS is the ratio of the marginal product of labor to the marginal product of capital, and the wage rate represents the marginal product of labor, we can set up the following equation:

MRTS = MPL / MPK = Wage rate / Rental rate

Substituting the given values, we have:

10 = $5 / Rental rate

To solve for the rental rate, we can rearrange the equation as:

Rental rate = $5 / 10 = $0.5

Therefore, the rental rate for capital in dollars is $0.5, or 50 cents.

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adius is 30.1 astronomical units (AU). assuming neptunes orbit is circular, ... The distance it travels in a single orbit around the sun is ... Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis, start text, A, U, end text, right parenthesis.

Answer:

60.20 pi

Step-by-step explanation:

to find curicumfrance with raidus all u have to do is multiply 30.1 ( the radius ) by 2 to get the curicumfrance

30.1*2 = 60.20

then u would multifply 60.20 by 3.14 ( pi) but in this case we can just put the pi

so the answer is 60.20 pi

-Hope this helps

plz mark brainlyest, rate and thank me

Thus, it is required for A to have at least as many columns as rows in order for AD to be equal to Im.

The equation AD = Im means that the product of matrix A and matrix D is equal to the m x m identity matrix.

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Answer:

72 campers

Step-by-step explanation:

To solve this problem, first we know that there are 3 counselors for every 24 campers. To get from 3 campers to 9 campers, you would need to multiply 3 by 3. If you do this with the campers, you would also need to multiply the counselors (24) by 3 as well. 24 times 3 = 72.

So, if there are 9 counselors, there would need to be 72 campers.

Answer:

It should be around 10.536

Step-by-step explanation:

For this one, I'm pretty sure you divide the speed value by 5

The 95% confidence interval for the mean is (1.6048, 1.6352).Hence, option (d) is the correct answer.

As given, a machine that is programmed to package 1.60 pounds of cereal is being tested for its accuracy in a sample of 40 cereal boxes, the sample mean filling weight is calculated as 1.62 pounds. The population standard deviation is known to be 0.06 pounds. We are required to find the 95% confidence interval for the mean. Here are the steps to solve this problem:

The formula to find the confidence interval is as follows;

Lower limit = x - zα/2 (σ/√n)

Upper limit = x + zα/2 (σ/√n)

Where,

x= sample mean

zα/2 = z-value of the level of significance

σ = population standard deviation

n = sample size

We are given;

x = 1.62 pounds

σ = 0.06 pounds

n = 40

We need to find the z-value of the level of significance, which can be found using the z-table or by using the calculator.Using the z-table, we get the z-value at 95% confidence interval as zα/2 = 1.96

Substituting the values, we get

Lower limit = 1.62 - 1.96(0.06/√40)

Upper limit = 1.62 + 1.96(0.06/√40)

Lower limit = 1.6048, Upper limit = 1.6352

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We are asked to evaluate the sum k-1 L¹(1²) * ¹² and provide the exact answer as a fraction. So The numerator raised to the power of 12 and the denominator raised to the power of 12.

To evaluate the given sum, let's break it down step by step. The sum is k-1 L¹(1²) * ¹², where k is the variable and L denotes the sigma (summation) symbol.

The expression L¹(1²) represents the sum of the squares of the numbers from 1 to k, which can be written as 1² + 2² + 3² + ... + (k-1)².

Using the formula for the sum of squares of consecutive integers, the sum L¹(1²) is equal to k(k-1)(2k-1)/6.

Multiplying this by ¹², we get (k(k-1)(2k-1)/6)¹² = (k(k-1)(2k-1))¹²/6¹².

The final answer is the numerator raised to the power of 12 and the denominator raised to the power of 12.

Therefore, the exact answer is (k(k-1)(2k-1))¹²/6¹², where the numerator is raised to the power of 12 and the denominator is raised to the power of 12.

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Answer:

Unfortunately, I cannot see the graph you are referring to, so it is difficult for me to determine the exact value of k. However, I can provide some general guidance on how to determine the value of k when a function is translated vertically.

If a function f(x) is translated vertically by a distance k, the new function g(x) would be given by:

g(x) = f(x) + k

In other words, to translate a function vertically, we add a constant to the function's output (y-value). So if the given function is:

f(x) = []*

and it is translated vertically to:

g(x) = (-²)* - " +1(x) + k

then the value of k would be the amount of the vertical translation. This would be the amount that the graph of g(x) is shifted up or down compared to the graph of f(x).

Without more information or context, I cannot determine the exact value of k, but hopefully this explanation helps you to understand how to approach this type of problem.

Step-by-step explanation:

The Value of k in function translation is 3.

To find the value of k, we need to look at the translation of the function. The + sign indicates a horizontal translation to the right, and the - indicates a vertical translation downward.

From the given graph, we can see that the translation is 1 unit to the right and 3 units downward.

Therefore, the value of k is 3.

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The value of -f(a) in the absolute value problem is; -f(a) = 15

We are given the absolute value problem;

f(x) = |x - 7| - |x + 8|

When we say absolute value, it means that it must not be negative but the positive absolute value. Thus;

f(a) = |a - 7| - |a + 8|

Since the value inside the absolute value bracket must be positive, then it means that;

f(a) = (a - 7) - (a + 8)

Provided a is not less than 7.

Thus;

-f(a) = -(a - 7 - a - 8)

= -(-15) = 15

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Answer:

$1.40

Step-by-step explanation:

First, 8% of $45

45*0.08=3.6

45+3.6=48.6

50-48.6=1.4

Answer: sorry if this is wrong I tried.

Physical factors such as terrain, climate, soil, water bodies, and mineral resources. These factors affect the availability of resources, the suitability of land for agriculture, the accessibility of transportation, and the attractiveness of living conditions.

Human factors such as industries, urbanization, transport, culture, history, and politics. These factors affect the type and scale of economic activities, the availability of services and amenities, the migration patterns and preferences of people, and the distribution of power and wealth.

These factors vary according to the scale of analysis because different regions may have different combinations and interactions of these factors that influence their population distribution. For example, at a global scale, climate may be a major factor that determines where people live, but at a local scale, urbanization may be more important.

Step-by-step explanation:

Answer:

1.) \(5x^{2} -7x+1\)

2.)\(2(x^{2} -3x-3\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) (\(2x^{2}\) - 9x + 4) + (\(3x^{2}\) + 2x - 3)

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

= \(5x^{2}\) - 7x - 1

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

= \(2x^{2}\) - 6x - 6

Answer:

18 \(\sqrt{5\\}\)

Step-by-step explanation:

Answer:

Original: 40.249223595

Simplified: 40.2

Step-by-step explanation:

3√5 = 6.7 (simplified)

15√5 = 33.5 (simplified)

6.7 + 33.5 = 40.2

The x-component of the 450 N force is 0 N, the y-component is -450 N, and the z-component is 0 N. The angles associated with the force are 90 degrees with the x-axis and 180 degrees with the z-axis.

To determine the x, y, and z components of a force, we need to express the force in terms of its magnitude and direction angles. The x-component represents the force's projection onto the x-axis, the y-component represents the projection onto the y-axis, and the z-component represents the projection onto the z-axis.

In this case, the force has no component along the x-axis, so the x-component is 0 N. The force's entire magnitude is directed in the negative y-direction, so the y-component is -450 N. Similarly, the force has no component along the z-axis, so the z-component is 0 N.

As for the angles, the force is perpendicular to the x-axis, resulting in a 90-degree angle. The force is also directed opposite to the positive z-axis, resulting in a 180-degree angle with the z-axis.

Therefore, the x-component of the force is 0 N, the y-component is -450 N, and the z-component is 0 N. The angles associated with the force are 90 degrees with the x-axis and 180 degrees with the z-axis.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)