If EF=17 and FG=13, what is EG?

The value assigned to the variable iResult as a result of the statement int iResult = 10 + 56 / 5 + 3 % 12; will be 11.

To understand how this value is determined, let's break down the statement step by step:

1. 56 / 5 is the first operation. The division operation `/` calculates the quotient of 56 divided by 5, which is 11.

2. Next, we have 3 % 12. The modulus operation `%` calculates the remainder when 3 is divided by 12. In this case, the remainder is 3.

3. Finally, we add the results of the previous two operations: 10 + 11 + 3. The addition operation `+` adds the numbers together, resulting in 24.

Therefore, the value assigned to the variable iResult will be 11. I hope this helps! Let me know if you have any further questions.

Read more about modulus here:

https://brainly.com/question/32268944

#SPJ11

35% of the circle would represent the food budget.

The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics

Given are the vacation expenses budgets labeled in a circle graph.

We can write the total budget as equivalent to the Area of the circle as -

${600 + 450 + 270} → πr²

$1320 → πr²

$1 → πr²/1320

$450 →  πr²/1320 x 450 = 0.35 πr²

Therefore, 35% of the circle would represent the food budget.

To solve more questions on fractions, visit the link below -

https://brainly.com/question/1301963

#SPJ1

Answer:

5000

Step-by-step explanation:

8,375,693.1

Keep the 5 in that position, and replace all other digits by zeros.

0,005,000.0

Now rewrite the number without the unnecessary zeros.

5,000

The 5 is in the thousands place, so it stands for 5000.

Answer:

5000

Step-by-step explanation:

Hope this helps! Please mark brainlest, if you don't mind.

Step-by-step explanation:

\( \frac{3 {}^{6} }{3 {}^{4} } \)

3 from the numerator was multiplied six times, and 3 from the denominator is multiplied 4 times. The small number at the top right (which is the exponent) of the 3 is how much the number is repeated.

Answer:

\(3^2\)

Step-by-step explanation:

The numerator can be simplified to \(3^6\)

The denominator can be simplified to \(3^4\)

\(\frac{3^6}{3^4}\) using the exponents rule, \(\frac{a^5}{a^3}=a^{5-3}=a^2\)

\(3^6/3^4=3^{6-4}=3^2\)

Hope this helps :)

The integral is ∫(10 |x − 5| dx) from 0 to 10.

This expression can be interpreted in terms of areas as the area between the function y = 10 |x − 5| and the x-axis from x = 0 to x = 10.

Notice that the graph of |x - 5| is a V-shaped graph with its vertex at (5, 0), so the graph is symmetric about the line x = 5. Therefore, we can split the integral into two parts, from 0 to 5 and from 5 to 10.

When x is between 0 and 5, |x - 5| = 5 - x, so the integral becomes:

∫(10(5 - x) dx) from 0 to 5

= [10(5x - (x^2)/2)] from 0 to 5

= (125 - 125/2) - 0

= 62.5

When x is between 5 and 10, |x - 5| = x - 5, so the integral becomes:

∫(10(x - 5) dx) from 5 to 10

= [10((x^2)/2 - 5x)] from 5 to 10

= 0 - (125 - 125/2)

= -62.5

Therefore, the area between the function and the x-axis from x = 0 to x = 10 is:

62.5 + (-62.5) = 0

So, ∫(10 |x − 5| dx) from 0 to 10 = 0.

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

Learn more about Power Rule here:

https://brainly.com/question/23418174

#SPJ11

Given expression is:(–2.4a – 1.8b) – (–3.8a – 4.4b)The expression can be simplified as follows:–2.4a – 1.8b + 3.8a + 4.4bThe like terms are combined as follows.

1.4a + 2.6bExpressions that are equivalent to 1.4a + 2.6b are:3.4b – 3.2a3.4a – 3.2bThe given expression is equal to (2.0a, 3.0b) and (3.4a + 5.6b). Therefore, none of these two expressions are equivalent to the given expression.

This can be concluded as we did not arrive at 2.0a, 3.0b, or 3.4a + 5.6b after simplifying and combining the like terms.Please note that there is only one answer option, not two, that is correct as the question asks to select two options. However, the answer to the question is that 3.4b - 3.2a and 3.4a - 3.2b are equivalent to the given expression.

To know more about expression visit:

https://brainly.com/question/28170201

#SPJ11

This expression yields: 4x^8 = 4 * (1/4)^(8/3)

If the expression 4x^3 is equal to 1 for some value of x, we can find the value of x by solving the equation:

4x^3 = 1

Dividing both sides of the equation by 4, we get:

x^3 = 1/4

Taking the cube root of both sides, we find:

x = (1/4)^(1/3)

Now, to determine the value of the expression 4x^8 for the same value of x, we substitute the value of x into the expression:

4x^8 = 4 * ((1/4)^(1/3))^8

Simplifying this expression yields:

4x^8 = 4 * (1/4)^(8/3)

Further simplification depends on whether you want an exact answer or an approximation. If you need an approximate value, please provide the desired level of precision.

Learn more about  expression from

brainly.com/question/1859113

#SPJ11

Answer:

missing side = 50

Step-by-step explanation:

using Pythagoras theorem,

30² + 40² = (missing side)²

900 + 1600 = (missing side)²

(missing side)² = 2500

missing side = √2500

missing side = 50

Using multiplication of variable by a constant, it is found that the correct mean and standard deviation for Y are given by:

In this problem:

Hence:

\(M_Y = 125(0.25) = 31.25\)

\(S_Y = 7(0.25) = 1.75\)

Also, from the mean, we have to subtract the cost per week, hence:

\(M_Y = 31.25 - 5 = 26.25\)

Hence, the correct option is:

To learn more about multiplication of variable by a constant, you can take a look at https://brainly.com/question/25639778

Answer:

If the rational number is ab then, te reciprocal is ba

Step-by-step explanation:

Suppose that rational number is ab

Then, the reciprocal of that number is ba

Answer:

8950

Step-by-step explanation:

The linear approximation l(x) to y = f(x) near x = a for the function f(x) = 1/x, a = 8, is given by: l(x) = (-1/64)x + 1/4.

To find the linear approximation, we need to find the equation of the tangent line to the graph of f(x) at x = a.

Given:

f(x) = 1/x

a = 8

First, let's find the slope of the tangent line, which is the derivative of f(x) at x = a:

f'(x) = d/dx (1/x)

      = -1/x²

and, f'(a) = -1/a²

      = -1/8²

      = -1/64

Now, let's find the equation of the tangent line using the point-slope form:

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

y - f(8) = (-1/64)(x - 8)

To find f(8), we substitute x = 8 into the original function:

f(8) = 1/8

y - 1/8 = (-1/64)(x - 8)

y - 1/8 = (-1/64)x + 1/8

Rearranging to isolate y:

y = (-1/64)x + 1/8 + 1/8

y = (-1/64)x + 1/4

Therefore, the linear approximation l(x) to y = f(x) near x = a for the function f(x) = 1/x, a = 8, is given by: l(x) = (-1/64)x + 1/4.

Learn more about linear approximation here:

https://brainly.com/question/31499819

#SPJ4

Answer:

The answer would be 14 cm

\(V = \frac{4pi(1.5)^3}{3}\)

\(4.5pi = 14.3\)

(pi = π)

Your welcome :)

Answer:

14 cm

Step-by-step explanation:

THE SIMPLE ANSWER

Step-by-step explanation:

\( \frac{ \sqrt{5 - 1 } }{x} = \frac{ \sqrt{5} }{2} \\ \\ x \sqrt{5 } = 2 \sqrt{5} - 2 \\ x = 2 - \frac{2 \sqrt{5} }{5} \)

Answer:

after 80 years, approximately 2.15 grams of the initial 16 grams of cesium-137 would remain. This means that about 13.4 grams would have decayed during this time period.

Answer:

What is the GCF of the polynomial?

The answer should be 2

What is the equivalent factored form of the polynomial?

The answer should be 2(3x-1)(x-1)

Step-by-step explanation:

Answers:

What is the GCF of the polynomial?

2

What is the equivalent factored form of the polynomial?

(3x-1)(x-1)

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

Learn more about the binomial probability of random variables here:

https://brainly.com/question/15246027

#SPJ1

Given:

Four students took a math test on decimals before being tutored. After attending tutoring sessions for a week, they took another test to see if they could improve their scores.

Required:

Here we have to find who's score was lower after tutoring.

Explanation:

Now by considering the red and blue bar in the given figure, we can say that

Kim score was lower after tutoring.

Final Answer:

Kim score was lower after tutoring.

Answer:

For thousands of years on the Indian subcontinent, a person’s social class was determined by birth.

Historians later called this the caste system. Caste members lived, ate, married, and worked with their own group. A person born into one caste rarely changed castes or mixed with members of other castes

. Social rules defined how to behave within a caste and when in the presence people from other castes.

The caste system precedes written history, but it seems to have developed slowly over time based on the traditional beliefs of the Aryan nomads who began moving onto the subcontinent about 1000BCE.

Step-by-step explanation:

Answer: About 91.54 times.

Step-by-step explanation:

Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.

To plan a party for more than 200 people, the number of guests for which both packages of buns and hotdogs will work evenly is 40 people. Here's an explanation of how to get this answer: First, we need to find the common multiple of 8 and 10 since buns come in packs of 8 while hotdogs come in packs of 10. The common multiple of 8 and 10 is 40. Next, we need to divide the total number of people by the common multiple of 8 and 10, which is 40. So, 200 divided by 40 equals 5. Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people. Any additional guests can be accommodated by purchasing extra packages of buns and hotdogs. So, the answer is 40 guests.

Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ11

Answer:

x = -24

Step-by-step explanation:

1. Subtract 2 from -46 to cancel out the addition. 2x = -48

2. Divide both sides by 2. x = -24

Yes. There is not enough evidence to reject the claim that the percentage of men who use exercise to relieve stress is 15%.

To test the claim, we need to use a hypothesis test with the null hypothesis being that the percentage of men who use exercise to relieve stress is 15% and the alternative hypothesis being that it is not 15%. Using the given information, we can calculate the sample proportion to be 0.12. Then, using a normal approximation to the binomial distribution with a standard error of sqrt(0.15*0.85/100) = 0.0387, we can calculate the test statistic to be (0.12 - 0.15)/0.0387 = -0.773.

Using a significance level of 0.10, the critical value for a two-tailed test is ±1.645. Since the test statistic is not less than -1.645 or greater than 1.645, we fail to reject the null hypothesis and conclude that there is not enough evidence to reject the claim that the percentage of men who use exercise to relieve stress is 15%.

Learn more about percentage here

https://brainly.com/question/24339661

#SPJ11

Answer:

450 millilitres

Step-by-step explanation:

1) \(\frac{1}{2}\) of the water is gone, so you need to divide 900 by 2 to see how much is left

900÷2 = 450

Answer:

SAS, because vertical angles are congruent.

The sum does not converge, we can conclude that E[X] is undefined in this case.

The given function P(x) satisfies the properties of a pmf. To show this, we must show that P(x) is non-negative for all x and that the sum of P(x) over all possible values of x is equal to 1.

First, note that (2+1)x(x+1) is always non-negative, since x and x+1 are either both positive or both negative. Therefore, P(x) is non-negative for all x.

Next, we can show that the sum of P(x) over all possible values of x is equal to 1. To do this, we can use the fact that P(x) is zero for all values of x outside the range 1 ≤ x ≤ 4. Therefore, we only need to sum P(x) over the range 1 ≤ x ≤ 4:

P(1) + P(2) + P(3) + P(4)

= -3/4 + 6/20 - 15/56 + 20/120

= -21/56 + 42/56 - 15/56 + 14/56

= 20/56

= 5/14

Since the sum of P(x) over all possible values of x is equal to 5/14, which is equal to 1, we can conclude that P(x) satisfies the properties of a pmf.

Next, we can show that the formula (4.1) for expectation does not converge in this case and hence E[X] is undefined. Using the hint provided, we can rewrite 1/x(x+1) as 1/x - 1/(x+1). Then, the formula for expectation becomes:

E[X] = Σx P(x) x

= (-3/4)(1) + (6/20)(2) - (15/56)(3) + (20/120)(4)

= -3/4 + 3/5 - 15/56 + 1/3

= -67/140

Since the sum does not converge, we can conclude that E[X] is undefined in this case.

Learn more about converge here

https://brainly.com/question/29463776

#SPJ11