My age added to 60 is equal to 10 less than DOUBLE my age. How old am I? Mi edad sumada a 60 es igual a 10 menos que el doble de mi edad. Cuantos anos tengo?

Answer:

1st - Matthew

2nd - Kiera

3rd - Jeffrey

4th - Austin

5th - Shelby

The sequence of the statement will be Matthew is in the first place, Kiera is in second place, Jeffrey is in third place, Austin is in fourth place, and Shelby is in fifth place.

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

Austin didn’t win first or last place,

The snowmen wearing scarves with stripes were in second and last place,

Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman,

Keira placed better than Shelby, but not as well as Matthew,

The sequence of the above statement can be written as,

1st - Matthew

2nd - Kiera

3rd - Jeffrey

4th - Austin

5th - Shelby

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Answer:

The first one

Step-by-step explanation:

1. 36/-3 = -12

2.-4-(-16) =12

3.(-3)(-4) = 12

4.21+ (-9) = 12

The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.

Let me know if you need further detail for them :)

Answer:

Angle 4 = 135, angle 5 = 45

Step-by-step explanation:

Consecutive interior angles are supplementary, therefore angle 5 + angle 8 = 180 degrees. Since the complement of 5 is the supplement of 4, we can write the system of equations.

180 - x = 90 - y or -x + y - 90 - 180 or -x + y = -90 or x - y = 90

x + y = 180

x - y = 90

Where angle 4 is x and angle 5 is y.

y = 180 - x

x - (180 - x) = 90

x - 180 + x =90

x + x = 270

2x = 270

x = 135

By plugging that in to an equation we can solve for y.

y = 45

The statement is sometimes true. In geometry, points are collinear if they lie on the same line.

Noncollinear points are points that do not lie on the same line.

If points J, K, L, and N are noncollinear, it means that they do not lie on the same line.

However, they can still lie in the same plane M.

So, while it is possible for noncollinear points J, K, L, and N to lie in the same plane M, it is not always the case. .

Therefore, the statement is sometimes true.

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If points J, K, L, and N are noncollinear and lie in the same plane M, the statement is always true.The statement is always true.

In geometry, collinear points are points that lie on the same line. Noncollinear points, on the other hand, are points that do not lie on the same line.

If points J, K, L, and N are noncollinear, it means that these points do not lie on the same line. Therefore, by definition, they are not collinear.

Now, the statement also mentions that these points lie in the same plane M. In geometry, a plane is a flat surface that extends infinitely in all directions. So, if points J, K, L, and N are in the same plane, it means that they lie on the same flat surface.

Therefore, combining these two conditions, we can conclude that points J, K, L, and N are noncollinear and lie in the same plane M.

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in the formula, =1+(2-3)+5/6-6^2,  The final result of the formula is -35.1667.

In the formula =1+(2-3)+5/6-6^2, the order of operations dictates that the exponentiation operator (^) is evaluated first, followed by multiplication and division from left to right, and then addition and subtraction from left to right.

So, access will evaluate 6^2 first, which equals 36. Then, it will evaluate the division 5/6, which equals 0.8333 (rounded to four decimal places).

Next, it will evaluate the subtraction (2-3), which equals -1. Then, it will evaluate the addition (1+(-1)), which equals 0. Finally, it will evaluate the multiplication (-6 * 6), which equals -36.

Putting it all together, we get:

=1 + (2-3) + 5/6 - 6^2

= 1 + (-1) + 0.8333 - 36

= -35.1667

Therefore, the final result of the formula is -35.1667.

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The length of the rectangle is 14

steps:

9 + 9 = 18

46 - 18 = 28

28 ÷ 2 = 14

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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A tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Cost of the food = $25.30

Tax on the food cost = 8%

Tax amount

= 8% of 25.30

= 0.08  × 25.30

= 2.204

Total cost of food before tip = 25.30 + 2.204 = $27.504

Tip given = 32.24 - 27.504 = 5.036

Tip percentage

= 5.036 / 27.504 × 100%

= 18.31%

≈ 18%

Hence a tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Percentage increases and decreases are calculated by computing the difference between two numbers or by comparing that difference to the starting value.

One can calculate how significantly the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.

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Answer:

Step-by-step explanation:

1 ft= 12 inches

So 5ft = 60 Inches

4= 0.3

Thus, Its 60.3

Answer:

proportional: y = kx

So, if we substituted k, an example could be y=2.5x.

An equation for a non proportional relationship can be y= 2.5x + 12. The 12 on the end is what makes it non-proportional

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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Answer:

2x-4

Step-by-step explanation:

1) Since it says 2 times the number x, it is 2x

2) Then, it says 4 less than 28

3) The equation/answer would be 2x-4

Answer:

The answer is 2x-4

Answer: Accounting profit=$90,000 and Economic profit loss= $28,500

Step-by-step explanation:

Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000

Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500

The one who types the fastest is Morgan. hence, the correct option is A.

An equation is defined as an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation , the instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We have been given that equation y=39x

Which models the total number of words Alexa can type, where y is the number of words typed and x is the time in minutes.

The data shows the relationship for Morgan.

Then we can conclude that Morgan types the fastest.

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the slope-intercept form is:

Where m is the slope

b is the y-intercept

The rule to find the slope is:

The points (3, 10) and (6, 12) are on the line, so let us use them

x1 = 3, x2 = 6

y1 = 10, y2 = 12

let us substitute them in the rule of m

Substitute m in the form of the equation

To find b substitute x and y by the coordinates of any given point

let x = 3 and y = 10 (1st point)

The value of b is 8, substitute it in the equation

This is the slope-intercept form of the line passes through the given points

maybe try using the 2 and dropping the decimal

Answer:

y= 3x − 4

Step-by-step explanation:

The slope-intercept form for a linear equation is

y= mx + b, where m = the slope, and b = the y-intercept.

Given:

m= 3 and b = −4

y= 3x - 4

Answer:

The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change. For example, a  5 % incline can be written as  5100 , which means that for every  100  feet forward, the height increases  5  feet.Figure  4.4.1 In mathematics incline of a line the slope and use the letter  m  to denote it. The vertical change is called the rise and the horizontal change is called the run.Slopem=vertical changehorizontal change=riserun(4.4.1)The rise and the run can be positive or negative. A positive rise corresponds to a vertical change up and a negative rise corresponds to a vertical change down. A positive run denotes a horizontal change to the right and a negative run corresponds to a horizontal change to the left. Given the graph, we can calculate the slope by determining the vertical and horizontal changes between any two points.Example  4.4.1 Figure  4.4.2 From the given points on the graph, count  3  units down and  4  units right.m=riserun=−3units4units=−34 the Answer is.m=−34 .

Step-by-step explanation:

Answer: No it would be 4.07

=1.1

Step-by-step explanation: Subtract 0.33 from 4.4

The permanent life insurance amount per thousand is; $17.76

Life insurance is defined as a product offered by insurance companies that provides for a tax-free benefit in the event of the death of the policy insured. It is usually used to provide a lump some of money that covers the basic living expenses for a family.

Now, we are told that;

Annual Premium = $1332

Face value = $75000

Now, the permanent life insurance amount per thousand is;

PLI per thousand = Annual Premium/(Face Value/1000)

PLI per thousand = 1332/(75000/1000)

= $17.76

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The inflection points are at x = -\(\sqrt{(1/3)}\) and x = sqrt(1/3), and f is concave up on (-\(\sqrt{1/3}\)), \(\sqrt{(1/3)}\)), and concave down elsewhere.

(a) To find the intervals on which f is increasing or decreasing, we need to find the first derivative of f and determine its sign.

\(f(x) = x^4 - 2x^2 + 3\)

\(f'(x) = 4x^3 - 4x\)

Setting f'(x) = 0, we get:

\(4x(x^2 - 1) = 0\)

This equation has roots at x = 0, x = -1, and x = 1. We can use the first derivative test to determine the intervals of increasing and decreasing.

When x < -1, f'(x) is negative, so f is decreasing.

When -1 < x < 0, f'(x) is positive, so f is increasing.

When 0 < x < 1, f'(x) is negative, so f is decreasing.

When x > 1, f'(x) is positive, so f is increasing.

Therefore, f is decreasing on (-∞, -1) and (0, 1), and increasing on (-1, 0) and (1, ∞).

(b) To find the local maximum and minimum values of f, we need to look for critical points and evaluate the function at those points.

Critical points occur where f'(x) = 0 or is undefined. We have already found that f'(x) = 0 at x = 0, x = -1, and x = 1.

f(0) = 3, f(-1) = 6, f(1) = 2

Therefore, f has a local maximum at x = -1, with a value of 6, and local minimums at x = 0 and x = 1, with values of 3 and 2, respectively.

(c) To find the intervals of concavity and inflection points, we need to find the second derivative of f and determine its sign.

\(f(x) = x^4 - 2x^2 + 3\)

\(f'(x) = 4x^3 - 4x\)

\(f''(x) = 12x^2 - 4\)

Setting f''(x) = 0, we get:

\(12x^2 - 4 = 0\)

\(x^2 = 1/3\)

x = ±sqrt(1/3)

We can use the second derivative test to determine the intervals of concavity.

When x < -sqrt(1/3), f''(x) is negative, so f is concave down.

When -sqrt(1/3) < x < sqrt(1/3), f''(x) is positive, so f is concave up.

When x > sqrt(1/3), f''(x) is negative, so f is concave down.

Therefore, the inflection points are at x = -sqrt(1/3) and x = sqrt(1/3), and f is concave up on (-sqrt(1/3), sqrt(1/3)), and concave down elsewhere.

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Answer:

320

Step-by-step explanation:

800 x 0.4 = 320.

Please consider the complete question.

A prism has a length of 9 millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters. What is the volume of the rectangular prism?

We know that volume of rectangular prism is product of its length, width and height.

\(V=\text{Length}\times\text{Width}\times \text{Height}\)

\(V=9\text{ mm}\times8\frac{1}{2}\text{ mm}\times 3\frac{1}{2}\text{ mm}\)

Let us convert our given mixed fraction into decimal.

\(V=9\text{ mm}\times8.5\text{ mm}\times 3.5\text{ mm}\)

\(V=267.75\text{ mm}^3\)

Therefore, the volume of the given prism would be \(267.75\text{ mm}^3\) and option D is the correct choice.

Answer:

D

Step-by-step explanation:

Answer:

644.89

Step-by-step explanation:

Answer:

644.89 m

Step-by-step explanation:

68 / 100 * 948.37 = 0.68 * 948.37 = 644.89 m (2 d.p.)

It represents growth since the value in the bank increases each year due to the 3% annual interest.

1. a (the initial value) is $5,000.

2. b (base or multiplier) is 1 + 3% = 1 + 0.03 = 1.03. This is because the bank earns 3% annual interest, which can be expressed as a multiplier of 1 + 0.03 = 1.03.

3. The equation to show how much money is in the bank yearly is:

  Yearly value = a * b^t

  Here, t represents the number of years.

  Therefore, the equation is: Yearly value = $5,000 * (1.03)^t

4. It represents growth since the value in the bank increases each year due to the 3% annual interest.

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Answer:

9) we get value of x: \(\mathbf{x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i}\)

Option C is correct.

10) The difference is \(2k^3+3k-1\)

Option A is correct.

Step-by-step explanation:

9) We need to solve:

\(x^2+8x+58=0\)

Solving using quadratic formula: \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

We have a=1, b=8 and c=58

Putting values and finding value of x

\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(1)(58)}}{2(1)}\\x=\frac{-8\pm\sqrt{64-232}}{2}\\x=\frac{-8\pm\sqrt{-168}}{2}\\We\:know\sqrt{-1}=i \\x=\frac{-8\pm2\sqrt{42}\:i}{2}\\x=\frac{2(-4\pm\sqrt{42}\:i)}{2}\\x=\frac{2(-4+\sqrt{42}\:i)}{2}, x=\frac{2(-4-\sqrt{42}\:i)}{2}\\x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i\)

So, we get value of x: \(\mathbf{x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i}\)

Option C is correct.

10) \((5-2k^3-5k)-(-4k^2+6-8k)\)

Combining like terms and subtracting:

\((5-2k^3-5k)-(-4k^3+6-8k)\\=5-2k^3-5k+4k^3-6+8k\\=-2k^3+4k^3-5k+8k+5-6\\=2k^3+3k-1\)

The difference is \(2k^3+3k-1\)

Option A is correct.

Answer:

Step-by-step explanation: