-1/2 x -3/5 this is what i need help with.

Answer:

Step-by-step explanation:

let the other angle be x

in complementary angle sum of two angle is 9 degree.so,

73.9+x=90 degree

x=90-73.9

x=16.1 degree

The amount credited from the partial payment made during the discount period is $1,470. The balance on the invoice after the partial payment was made is $1,530.

The payment terms "4/10n/45" indicate that a 4% discount is applicable if the payment is made within 10 days, and the full amount is due within 45 days. Marcus made a partial payment of $1,500 during the discount period.

To calculate the amount credited, we first determine the discount amount by multiplying the invoice amount ($3,000) by the discount percentage (4%). This gives us a discount of $120. Since Marcus made a partial payment of $1,500, we subtract the discount amount from the partial payment to find the credited amount. Therefore, $1,500 - $120 = $1,380. Rounded to the nearest cent, the amount credited is $1,380.

To calculate the balance on the invoice after the partial payment was made, we subtract the credited amount from the remaining balance. The remaining balance is the invoice amount ($3,000) minus the partial payment ($1,500), which equals $1,500. Subtracting the credited amount of $1,380 from this balance, we get $1,500 - $1,380 = $120. Rounded to the nearest cent, the balance on the invoice after the partial payment is $120.

In summary, the amount credited from the partial payment made during the discount period is $1,380, and the balance on the invoice after the partial payment was made is $120.

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Answer:because it just a word problem

Step-by-step explanation:

like i said it just a word problem

No, the probability that a continuous random variable equals a certain value is zero does not imply that the probability of finding even or odd values is also zero.

The reason for this is that even and odd values are not specific points in the continuous probability distribution, but rather sets of points. For example, if we consider a uniform distribution over the interval [0, 1], the probability of any particular point in the interval is zero, including both even and odd values. However, the probability of finding an even value in the interval is 1/2, since half of the values in the interval are even. Similarly, the probability of finding an odd value is also 1/2. Therefore, the fact that the probability of a continuous random variable taking a certain value is zero does not imply anything about the probability of finding even or odd values.

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The Toyota Production System (TPS) is a manufacturing philosophy that aims to minimize waste and maximize efficiency.

It is based on two main principles: Just-in-Time (JIT) production and Jidoka. JIT production involves producing goods only when they are needed, thereby reducing inventory costs and waste. Jidoka, on the other hand, is the concept of building in quality at every step of the production process, rather than inspecting for defects at the end. This helps to prevent defects from occurring in the first place and reduces the need for costly rework.

TPS is important because it allows Toyota to produce high-quality goods at a lower cost than its competitors. By minimizing waste and maximizing efficiency, TPS helps Toyota to keep its production costs down, which in turn allows it to offer its products at a lower price than its competitors. This gives Toyota a competitive advantage in the marketplace and helps it to maintain its position as one of the world's leading automakers. TPS is also important because it is a model for other companies to follow. Many companies have adopted the principles of TPS and have seen similar benefits in terms of reduced costs and increased efficiency.

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Assuming that the number of moles of solute in a solution follows a normal distribution, the distribution of molarity can be approximated as normal with mean µ and standard deviation σ.

Assuming that the number of moles of solute in a solution follows a normal distribution, the distribution of molarity (M) can also be approximated as normal.

Let n be the number of moles of solute and V be the volume of the solution in liters. Then the molarity M is given by:

M = n/V

Using the rules of propagation of errors, we can find the variance of M in terms of the variances of n and V as:

Var(M) = Var(n)/V^2 + (n^2/ V^4) * Var(V)

Assuming that the variance of the number of moles of solute and the variance of the volume are known, we can use the above formula to calculate the variance of the molarity.

Once we have the mean and variance of the molarity, we can approximate its distribution as normal using the following parameters:

- Mean: µ = E(M)

- Standard deviation: σ = sqrt(Var(M))

Therefore, the distribution of molarity M is approximately normal with mean µ and standard deviation σ.

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Answer:

The answer is 11/20.

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

To convert 2,250 square feet to square centimeters, we can use the conversion factor of 1 square foot = 929.0304 square centimeters⁵. Therefore,

2,250 sq ft = 2,250 x 929.0304 sq cm/ sq ft = 2,090,318.4 sq cm.

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

15foot

Step-by-step explanation:

The set up will give a right angled triangle.

The length of the shadow will be the hypotenuse = 16foot

The height of the tree will be the opposite = x

The angle of elevation = 70°

Using the SOH CAH TOA trig identity

Sin theta = opposite/hypotenuse

Sin 70 = x/16

x=16sin70

x = 15.04feet

Hence the height of the tree to the nearest whole foot is 15foot

Answer:

28 feet

Step-by-step explanation:

20 + 10 = 30 - 2 = 28 feet

The dolphin is 20 feet below the surface, goes down another 10 feet, so 30 feet below the surface, and raises two feet, so 28 feet below the surface.

Simplified :(5x+4y)(5x−4y)

=(5x+4y)(5x+−4y)

=(5x)(5x)+(5x)(−4y)+(4y)(5x)+(4y)(−4y)

=25x2−20xy+20xy−16y2

=25x2−16y2

hope this helps!

Answer:

25x^2-16y^2

Combine the opposite terms in  5x(5x)+5x(4y)-4y(4y)

                                                            5x(5x)-4y(4y)

                                                             25x^2-16y^2

For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).

Calculation For the Area of the Triangle:

It is given that,

The base of the triangle, B = 10 inches

The altitude from the base of the triangle or height, H = 16 inches

Now, the formula used for finding the area of a triangle is given as follows,

Area, A = (1/2) × B × H

Substituting the given values of B and H in the above formula for area, we get,

A = (1/2) × (10 inches) × (16 inches)

A = 5 × 16 inches²

A = 80 inches²

Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.

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The biconditional statement,

→ If a polygon is a triangle, then the polygon has exactly three sides.

→ If a polygon has exactly three sides then it is a triangle.

Given statement;

If a polygon has three sides, then it is a triangle. If a polygon is a triangle, then it has three sides.

The biconditional of the given statement is,

→ If a polygon is a triangle, then the polygon has exactly three sides.

→ If a polygon has exactly three sides then it is a triangle.

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Answer:

24

Step-by-step explanation:

8x3 is 24 because the length must be three times it's width

The expression 2 logu - logv can be simplified as logu (\(u^2/v\)).

a) To convert the expression √x logb into an expression involving log, r, log, y, and log, 2, we can use logarithmic properties.

Using the property loga (b) = logc (b) / logc (a), we can rewrite √x logb as:

√x logb = logb (√x)

=\(logb (x^_(1/2))\)

Now, using the property logc (a^b) = b logc (a), we can further simplify:

\(logb (x^_(1/2))\) = (1/2) logb (x)

Therefore, the expression √x logb can be written as (1/2) logb (x).

b) To write the expression 2 logu - logv as a single logarithm, we can use the quotient rule of logarithms, which states that loga (b) - loga (c) = loga (b/c).

Applying this rule to 2 logu - logv, we have:

2 logu - logv

= \(logu (u^2) - logu (v)\)

= \(logu (u^2/v)\)

Therefore, the expression 2 logu - logv can be simplified as logu (\(u^2/v\)).

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Answer:

The false statement is D) All kites are rectangles.

A kite is a quadrilateral with two pairs of adjacent sides that are congruent. A rectangle is a quadrilateral with four right angles and opposite sides that are parallel and congruent. While some kites can be rectangles (when the two pairs of congruent adjacent sides are also perpendicular), not all kites are rectangles. Therefore, statement D is false. Statements A, B, and C are true.

Step-by-step explanation:

The rocket will reach the maximum height in 1.5 seconds, and the maximum height of the rocket is 35.96 ft.

Parabolic function is a function of the form f(x) = ax² + bx + c. It is a quadratic expression in the second degree in x.

Given that, a toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with initial velocity of 48 ft/sec and the function is given by, h(t) = -16t²+48t+3

h(t) = -16t²+48t+3

= 3 feet

= 48 ft/sec

We find the vertex of the function,

Vertex = -b/2a = -48/-32 = 1.5

= 1.5 seconds

= (c-b²)/4a = (3-2304)/4*(-16) = 2301/64 = 35.96 ft

Hence, The rocket will reach the maximum height in 1.5 seconds, and the maximum height of the rocket is 35.96 ft.

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The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

The expression is given as:

(-2)^4/(-2)^2

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^(4 -2)

4 - 2 has the same value as 6 - 4

So, we have:

(-2)^4/(-2)^2 = (-2)^(6-4)

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^6/(-2)^4

Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

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The population is the occupants of all seats in the sports arena; the sample is the occupants of the 100 selected seats.

Population in research is a complete set of elements that possess a standard parameter between them while sample is defined as a smaller part of the whole or a subset of the entire population. Sample represents a part of the population in a study.

Now, in this question, the population is clearly the occupants of all seats in the sports arena while the sample is the occupants of the 100 selected seats.

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Answer:

The population is the occupants of all seats in the sports stadium; the sample is the occupants of the 808080 selected seats.

Step-by-step explanation:

Answer:

4/5 is bigger than 7/10

Step-by-step explanation:

Just divide them each

4/5 = .8

7/10 = .7

Umm... your going to have to put those on the number line yourself sorry

Answer: 4/5. 4/5 can also mean 8/10. 8/10 is greater than 7/10. I do not know how to label the fraction on the number line if it is a picture so hopefully you can do that.

The additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.

Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.

For instance,

Statement A: If there's an increase in Mr Charles salary.

Statement B: Mr Charles buys bicycle for his son.

This means Mr Charles buying bicycle for his son is true because of the increase in income.

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Answer:

20.6

Step-by-step explanation:

385 Sample size is necessary is the 95% confidence Interval for p .

Sample Size:

Sample size is defined as the number of observations used to determine estimates for a given population. Sample size was drawn from the population. Sampling is the process of selecting a subset of individuals from a population to estimate characteristics of the population as a whole. The number of entities within a subset of the population is selected for analysis

According to the Question:

The Necessary Sample Size is calculated as follows:

Necessary Sample Size =

(Z-score)² * Std Dev*(1-StdDev) / (margin of error)²

For example, given a 95% confidence level, 0.5 standard deviation, and a margin of error (confidence interval) of +/- 5%. Necessary Sample Size =

= (1.96)² x 0.5(0.5)) / (0.05)²

= (3.8416 x 0.25) / .0025

= 0.9604 / 0.0025

= 384.16

So in order to get 95% confidence level, with confidence interval of +/- 5%, and standard deviation of 0.5, I have to survey 385 samples.

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100% = $37,560

18% = ?

(18 × 37560) ÷ 100

= 676,080 ÷ 100

= $6760.8 commission

Answer:

43% of 52

Step-by-step explanation:

The factor by which you would need to change the radius of the sphere in order to increase its volume by a factor of 7 is approximately the cube root of 7.

To determine the factor by which you would need to change the radius of a sphere in order to increase its volume by a factor of 7,

we can use the formula for the volume of a sphere: V = (4/3)πr^3, where V is the volume and r is the radius.

Let's assume the initial radius of the sphere is r1. If we increase the radius by a factor of x, the new radius will be r2 = xr1.

Now, we need to find the relationship between the volumes of the two spheres.

The volume of the original sphere is V1 = (4/3)πr1³, and the volume of the new sphere is V2 = (4/3)π(r2)³ = (4/3)π(xr1)³ = (4/3)π³r1³.

Since we want the volume to increase by a factor of 7, we have V2 = 7V1. Substituting the values, we get (4/3)πx³r1³ = 7(4/3)πr1³.

Simplifying the equation, we cancel out the (4/3)πr1³ terms from both sides, resulting in x³ = 7.

To solve for x, we need to find the cube root of both sides: x = ∛7.

So, the factor by which you would need to change the radius of the sphere in order to increase its volume by a factor of 7 is approximately the cube root of 7.

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