Which of the following expression represents the given statement the sum of 15 red balls and 50 yellow balls is greater than 400​
a. 15r +50y>400
b. 15y +50r>400
c. 15r +50y (greater than or equal)400
d. 400 =15r+50y

Answer:

1. \(x \approx 229.8\)

2. \(x \approx 2.6\)

Step-by-step explanation:

1. We can use the following trigonometric ratio since we are given the adjacent side and need to find the hypotenuse from the angle:

\(cos(x) = \frac{adjacent}{hypotenuse}\\cos(72) = \frac{71}{x}\\x = \frac{71}{cos(72)}\\x \approx 229.8\)

2. We can use the following trigonometric ratio since we are given the adjacent side and need to find the opposite from the angle:

\(tan(x) = \frac{opposite}{adjacent}\\tan(43) = \frac{x}{2.8}\\x = tan(43) \times 2.8\\x \approx 2.6\)

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

The value of the \(z\) is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

\(\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}\)

Here \(A,B,C\) are the angle of the triangle and \(a,b,c\) are the sides of that triangle.

Given information-

The triangle for the given problem is attached below.

In the triangle the base of the triangle is 2.6 units long.

The sine law for the given triangle can be written as,

\(\dfrac{\sin X}{x} =\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}\)

As the value of \(y\) side is known and the value of \(z\) has to be find. Thus use

\(\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}\)

Put the values,

\(\dfrac{\sin 51}{2.6} =\dfrac{\sin 76}{z}\)

Solve it for the \(z\),

\(z=\dfrac{\sin 76\times 2.6}{\sin 51}\\z=3.2462\)

Hence the value of the \(z\) is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

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Answer: (9 - 2) ⋅ 180 ° = 7 ⋅ 180 ° = 126 0 °

Step-by-step explanation:

The maximum strut load is 70.87 kN. The maximum strut load can be calculated using the following equation: Maximum strut load = 2 * unit weight * gravity * depth * sin(friction angle) * cos(friction angle)

In this case, the unit weight is 20 kN/m3, the gravity is 9.81 m/s^2, the depth is 7.5 m, and the friction angle is 36°. Plugging these values into the equation, we get the following:

Maximum strut load = 2 * 20 * 9.81 * 7.5 * sin(36°) * cos(36°) = 70.87 kN

Therefore, the maximum strut load is 70.87 kN.

The maximum strut load occurs at the first row of struts, which is installed at a depth of 0.5 m below ground surface. The strut load decreases with depth, and the maximum strut load is reached at the first row of struts.

The strut load is caused by the weight of the soil above the struts. The soil above the struts exerts a lateral force, which is resisted by the struts. The maximum strut load occurs when the lateral force is at its maximum.

The maximum strut load is an important design consideration for braced cuts. The strut load must be able to be safely carried by the struts. If the strut load is too high, the struts may buckle or fail.

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Answer:

The cat has spots.

Step-by-step explanation:

A negation is the contradiction of something, so to say "the cat has spots" would be a negation of saying that "the cat does not have spots".

have a nice day!

Answer: the first option

(not have >< have/ has)

Answer:

true

Step-by-step explanation:

Hope this helps. :)

Answer:  5

Step-by-step explanation:

f(x)=2x+1

f(2)=2(2)+1    Subtitube 2 for x

f(2)=4+1

f(2)=5

The volume of the given combined solids is 675 cm³.

The given combined solid is made up of two solids. A rectangular solid and a triangular prism. The dimensions of the rectangular solid are length, width, and height 15 cm, 6 cm, and 5 cm, respectively, while the triangular prism has a height of 6 cm and a base of 5 cm.

The rectangular solid is placed on the triangular prism such that the rectangular solid's width coincides with the base of the prism's triangle.Find the volume of the given combined solids.

Since the rectangular solid is on top of the triangular prism, we will compute the two volumes separately and then add them together to obtain the combined volume.

Volume of rectangular solid = l × w × h= 15 cm × 6 cm × 5 cm= 450 cm³

Volume of triangular prism= 1/2 × base × height × length= 1/2 × 5 cm × 6 cm × 15 cm= 225 cm³

To get the combined volume, we add the two volumes together:Combined volume= 450 cm³ + 225 cm³= 675

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Answer:

64in

Step-by-step explanation:

v=L×W×H

= 4×4×4

= 16 ×4

= 64in²

Answer:

t=7/(6v-8u-8)

Step-by-step explanation:

Isolate t

7/t=6v-8u-8

7/6v-8u-8=6v-8u-8*t/6v-8u-8

t=7/(6v-8u-8)

You can simplify it

t=7/2(3v-4u-4)

500 J, is the required work to pull the bucket of water to the top of the well.

From the given question we have the following information

the weight of the bucket is 3kg.

length of rope (h) = 5m

Weight of rope: 7kg

Total weight (rope + bucket) = 10kg

Required Work Done = force × distance travelled (length of rope ) = mgh, where

M = total weight in kg

g--> acceleration due to gravity

h--> length of rope ( height )

g = 10 m/sec² ( default value )

Put all the values in the above formula.

Required work done = 100× 5 = 500 Joules .

So, the bucket of water will require 500J work done for pulling.

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The boundary of the "triangular" region in the first quadrant enclosed by the x-axis, the line x = 1, and the curve y = x^3 is given by the line segment from (0, 0) to (1, 1) and the curve y = x^3 in the interval [0, 1].

To find the boundary of the triangular region, we need to identify the points where the x-axis, the line x = 1, and the curve y = x^3 intersect in the first quadrant.

The x-axis: The x-axis is the line y = 0. Therefore, the point of intersection with the x-axis is (x, y) = (x, 0).

The line x = 1: This is a vertical line passing through x = 1. Therefore, the point of intersection with the line x = 1 is (x, y) = (1, y).

The curve y = x^3: This is a curve in the first quadrant defined by y = x^3. To find the intersection points with this curve, we equate y = x^3 and solve for x. This gives us x = y^(1/3).

Now, let's analyze the boundary of the triangular region in the first quadrant:

a) Starting point: (0, 0) - The boundary begins at the origin (0, 0).

b) Line segment: From (0, 0) to (1, 0) - This segment lies along the x-axis.

c) Curve segment: From (1, 0) to (1, 1) - This segment lies on the curve y = x^3 and corresponds to x = 1.

d) Final point: (1, 1) - The boundary ends at the point (1, 1).

In conclusion, the boundary of the "triangular" region in the first quadrant enclosed by the x-axis, the line x = 1, and the curve y = x^3 consists of the line segment from (0, 0) to (1, 0) along the x-axis, and the curve segment from (1, 0) to (1, 1) on the curve y = x^3.

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The result of 297,060 divided by 0.0004839 is approximately 6.1429 x 10⁸ or 614,290,000 in standard notation.

To express 297,060 divided by 0.0004839 in scientific notation, we can represent it as:

297,060 / 0.0004839 = 6.1429 x 10⁸

In standard notation, the result is approximately:

614,290,000

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Answer:

62 1/4 = 62.25

Step-by-step explanation:

Turn the improper fraction into a mixed number then divide as an equation.

62 x 4 = 248

248 + 1 = 249.

Put the 249 over the 4 and divide.

249/4 = 249 ÷ 4 = 62.25

The given fraction in decimal form is 62.25.

So, 62¼:

Get it in decimals as follows:

Therefore, the given fraction in decimal form is 62.25.

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Answer:

27 and 64

Step-by-step explanation:

Answer:

let the two numbers = x and y

according to the statement : x-y=4

x+y=22

by elimination method: 2x=26

x=13

so... y = 13-4=9

Answer:

The two numbers (x and y) are 13 and 9 respectively. 13 minus 9 is 4 and 13 plus 9 is 22.

Step-by-step explanation:

Let the two numbers be x and y.

The difference between x and y (x - y) = 4. (eqn 1)

Their sum (x + y) = 22. (eqn 2)

From eqn 1, we can get that x = 4 + y

Substituting x as (4 + y) in eqn 2 gives the following:

(4+y) + y = 22

4 + 2y = 22

and 2y = 22 - 4

2y = 18

dividing both sides by 2 gives y = 9.

Substituting y as 9 in eqn 1 gives

x - 9 = 4

x = 4 + 9

x = 13

The point that represents the conjugate of z is given as follows:

Point S.

A complex number is composed by a real part and an imaginary part, as follows:

z = a + bi.

In which:

For the conjugate of a number, we keep the real part, while changing the imaginary part.

On the graph, we have that:

Hence point S represents the conjugate of z.

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Answer:

1/2x-2

Step-by-step explanation:

sise over run and then graph on desmos

Answer:

y = \(\frac{1}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (- 6, - 5 )

m = \(\frac{-5-1}{-6-6}\) = \(\frac{-6}{-12}\) = \(\frac{1}{2}\) , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 1 )

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = \(\frac{1}{2}\) x - 2 ← equation of line

The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer:

Answer

Step-by-step explanation:

The answer is d because if you at 17 to 197 you'll get 203

The concept of perceptual selectivity leads listeners to mold messages to fit their own conceptual frameworks. In other words, individuals often tend to hear only what they want to hear and ignore the rest. They're more likely to accept messages that are consistent with their current beliefs or values while rejecting messages that conflict with them.

Therefore, in order to communicate effectively, it's essential to understand the recipient's perceptual filter and tailor the message accordingly. Decision making in complex business situations is rarely clear-cut and often involves choosing from a range of options that are not necessarily obvious. Therefore, decision makers must use their knowledge, experience, intuition, and judgment to analyze the situation and select the best possible solution.

Decision making is also influenced by external factors such as time pressure, availability of resources, and the organization's culture. Memos are a common form of written communication in the business world. They're usually brief, informative, and intended to convey important information to employees or colleagues. Memos are used to communicate a wide range of information, such as policy changes, meeting announcements, project updates, and so on. They're also used to provide feedback, ask questions, or request information from others. Since memos are an internal communication tool, they're generally written in a more informal tone than other types of business communication such as letters or reports.

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Answer:

Kitchen sink

Step-by-step explanation:

The statement that is not true with respect to the approximation of the data points by the least-squares line is option b. Setting the predicted values equal to the observed values, that is B.x + Bo = y, we obtain an inconsistent system Xß = y.

In the least-squares method, we aim to find the parameters B and Bo that make the line y = f(x + Bo) as close to the data points (x, y), ..., (x, y) as possible (option a). To achieve this, we minimize the sum of squares of residuals by finding the least-squares solution B = (B, Bo) of XB = y, where X is the design matrix and y is the observation vector (option c). The design matrix for the least-squares line has a form X = (x xº), where x is the column vector of the x-coordinates of the data points and xº is the column vector of 1's (option d). The observation vector y is the vector of the y-coordinates of the data points (option e). B is a solution of the system with the augmented matrix [X y] (option f).

However, option b states that setting the predicted values equal to the observed values results in an inconsistent system Xß = y, which is not true.

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Answer:

A) The lower portion of the lungs has more oxygen than perfusion.

Step-by-step explanation:

Answer: 7.25 minutes per container.

Step-by-step explanation:

Your looking for a ratio of time per container. 29/4 is the given ratio it was simplified to 7.25/1. Or simply 29 divided my 4.

Answer:

40 students per bus

Step-by-step explanation:

147 (Og #)-27(Number riding cars, irrelevant)=120

120/3 (# of buses)= 40 students per bus

Answer:

40 students

Step-by-step explanation:

First, let’s find how many students rode the buses.

There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.

The difference between 147 and 27 will be how many took buses.

Subtract 27 from 147

147-27=120

120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.

120/3=40

Therefore, 40 students were on each bus.

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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