The school auditorium seats 350
students. There are 309
students already seated. Write
and solve an inequality that
represents the additional number
of students that can be seated.

Answer:

Step-by-step explanation:

take 43 degree as reference angle

using tan rule

tan 43 = opposite / adjacent

0.93 = x / 56

x = 56/0.93

x = 60.21

x = 60.2

The equation 5 + 4 - 2 = 9 - 2 represents a situation in which the scientist is measuring the mass of an object using a pan balance.

The equation shows that 5 units of mass are added to one pan, 4 units of mass are added to the other pan, and then 2 units of mass are removed from each pan. The equation shows that the total mass in both pans remains unchanged, which indicates that the pans are still in balance. The fact that the equation is balanced, with the same amount of mass on each side, suggests that the pans are in balance because the mass has been distributed evenly between them. The balance operates on the principle of equal weights, where equal weights on opposite sides will cancel each other out, resulting in a balanced state.

Therefore, by removing 2 units of mass from each pan, the scientist is maintaining the balance between the two pans. As long as the pans remain balanced, the scientist can accurately determine the mass of the object being measured. The equation 5 + 4 - 2 = 9 - 2 represents the scientist's assurance that the pans are still in balance and that the measurement of mass can be considered accurate.

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Answer:

Since congruent means that they have the same diameter , i'd say that the answer is 1

Step-by-step explanation:

Answer:

x^2+22x+121

Step-by-step explanation:

(x)^2+2*x*11+11^2

=x^22x+121

Answer:

n = -18

Step-by-step explanation:

Brainliest Please :)

Answer:

Step-by-step explanation:

2/3n = -12

or, 2= -12*3n

or,2 = -36n

or, 2/36= -n

or - 2/36 =n

therefore n= -2/36

The correct option is C. Connect every intersection of an arc and the circle with a segment.

When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.

A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.

Some key features related to regular hexagon are-

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It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.

When building an engraved regular hexagon.

Following the creation of six arcs on the circle, the following steps will be taken.

A segment should be connected to every intersection of an arc and a circle.

The correct question is -

When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?

A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.

C. Connect every intersection of an arc and the circle with a segment.

D. Connect the midpoint of the radius to the endpoint of the diameter.

Answer: (C) Connect every intersection of an arc and the circle with a segment.

Step-by-step explanation: butter

Answer:

it would be 3 because a negative divided by negative is a positive

and 6/2=3

Note that  statement for the graphs and their corresponding equations are described here.

Part 1)  Linear

we have  - Y = x + 3

This is the equation of the line which is stated or given in slope intercept form

The slope of the given curve is a positive one and is equal to m  =1

The y-intercept is b=3

As the assigned value of x increases the value of y increases too

If  the assigned  value of x decreases the value of y also diminishes too

So therefore the graph in the attached image is Option  three.

Part 2) Quadratic function

we have y = 3x²

One must note that this is a vertical parabola that is open upward with the vertex at origin.

In this case, when  the value of x geos up the value of y increases too

As the value of x reduces the value of y goes up

therefore

The graph  for this in the attached figure is Option 1

Part 3) Exponential function

we have y = 3ˣ

This is a exponential growth function

As the rate of x goes up , the value of y also goes in the same direction too

Also, when the value of x reduces the value of y decreases too

The initial value or y-intercept is 3

We can conclude therefore the graph in the attached figure for this is  Option 2.

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Full Question:

See attached.

Answer:

Yes, if it is a square or rectangle.

Step-by-step explanation:

the length of the sections will be 24 and 18 respectively.

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given, Some pair of lines in that three lines are parallel and two of them are intersecting them.

Since, these are the the section made by two parallel lines. Thus, these given section will be Proportional to each other.

Thus,

20/15 = ( 7x - 11)/(4x - 2)

4/3 = ( 7x - 11)/(4x - 2)

16x - 8 = 21x - 33

5x = 25

x = 5

therefore, the length of the sections will be 24 and 18 respectively.

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Answer:

1

Step-by-step explanation:

a//b is the correct answer plz add this as brainliest

Answer:

A ll B. hope this helps

Step-by-step explanation:

- Zombie

Answer:

Y=7/5x+8

Is the answer to question don't ask me how I know I cheated

The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

We have an equation,

7x-5y=-30

Simplifying,

y = 7x/5 + 30/5

y = 7x/5 + 6.

The general formula of line parallel to a given line is,

y = 7x/5 + b, where b is the y-intercept of the line.

Therefore, y = 7x/5 + b is the required line.

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Given,

A jet travels 6320 miles in 8 hours.

Flying with the wind, the same jet travels 5950 miles in 5 hours.

To find: The rate of the jet in still air, and the rate of the wind.

Solution:

The jet's velocity against the wind is

The jet's velocity with wind is

Let the velocity of the jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x-y and with wind is x+y and therefore

Solve both equations (1) and (2)

And

Hence, the velocity of the jet in still air is 990 miles per hour and the velocity of wind is 200 miles per hour.

With the help of unitary method , we can say that ,To create a batch of 15%-pigment paint, he needs to mix 98.57 liters of the 27%-pigment paint with the 12%-pigment paint.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

Paint volume times pigment concentration equals pigment amount.

or

V × c = P

If the three options are referred to as 1, 2, and 3, then

P₁ + P₂ = P₃

V1c1 = V2c2 + V3c3

Let x equal the paint's 11% volume.

Then

230 × 21 % + x × 11 % = (230 +x) × 18 %

Add 4830 plus 11x to get 4140 plus 18x, then take 4140 away from each side.

690 + 11x = 18x Take 11 times off of each side.

Divide each side of 690 by 7 to get the answer.

x = 98.57 L

The worker needs to add 98.57 L of the paint with a 21% pigment.

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Answer:

2 is the answer

Step-by-step explanation:

The likely percentage that Maggie will get pregnant again 2 years after the first baby's birth is not predictable as it depends on various factors.

It's important to note that individual circumstances can vary greatly, and predicting an exact percentage of Maggie's likelihood of getting pregnant again in 2 years isn't possible. However, some factors that may influence her chances include her age, contraceptive use, and personal choices.

Teenagers have a higher fertility rate, but using effective contraceptives and making informed decisions can reduce the likelihood of a subsequent pregnancy. It's crucial for Maggie to consult with a healthcare professional for personalized advice and support.

While research suggests that the chances of getting pregnant in the first year after childbirth are relatively high, the likelihood decreases over time, and after two years, it may be lower than the chances of getting pregnant for the first time.

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Answer:

Step-by-step explanation:

Trigonometry is a branch of mathematics that relates the measures of sides and angles in a triangle. The various trig functions of an angle are defined in terms of the sides of a right triangle containing that angle. Consequently, the Pythagorean theorem can be used to relate certain trig functions to each other, and to obtain formulas for the sum and difference of angles.

The Pythagorean theorem relates side measures in right triangles. For relating side measures to each other or to angles in non-right triangles, one or both of the Law of Sines and the Law of Cosines must be used.

  both b) and c)

The Law of Sines relates side lengths and the sines of angles. Knowing three side lengths tells you nothing about the angles except the ratio of their sines.

The Law of Cosines relates three side lengths and one angle. Knowing the three side lengths, the angle measure can be found.

There is no Tangent Law.

Trigonometry is a calculation tool, not a measuring tool. As such, it allows calculation of angles and sides (of a triangle) that cannot be physically measured.

Paintings benefit greatly from rules of proportion and perspective. In general, trigonometry is not directly involved. (Computer-generated art may implement these rules of perspective using trigonometry. Paintings, in general, make no direct use of trigonometry.)

Answer:

x>4

Step-by-step explanation:

Since it is pointing right, it must be either

x>4

x≥4

Since it is not a filled circle the answer can't be greater than or equal to. So it must be x>4.

a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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the probability of randomly selecting a jack or 4 from a standard deck of 52 cards is 2/13.

In a standard deck of 52 cards, there are four jacks and four 4s, for a total of 8 cards that are either a jack or a 4. The probability of selecting a jack or 4 can be found by dividing the number of favorable outcomes (8) by the total number of possible outcomes (52): P(jack or 4) = 8/52. This fraction can be reduced by dividing both the numerator and denominator by 4: P(jack or 4) = 2/13. Therefore, the probability of randomly selecting a jack or 4 from a standard deck of 52 cards is 2/13. Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in a wide range of fields, from gambling and sports to scientific research and data analysis. Understanding probability is important for making informed decisions, predicting outcomes, and assessing risks.

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The work done by the force field F(x, y, z) = 6xi + 6yj + 2k on the particle moving along the helix r(t) = 2cos(t)i + 2sin(t)j + 7tk, 0 ≤ t ≤ 2π is 28 Joules.

To find the work done, we need to evaluate the line integral of the force field F along the helix. The line integral of a vector field F along a curve C is given by ∫ F · dr, where dr is the differential displacement vector along the curve.

In this case, the differential displacement vector dr is given by dr = (dx)i + (dy)j + (dz)k. We can parameterize the helix using the variable t as r(t) = 2cos(t)i + 2sin(t)j + 7tk. Taking the derivatives, we find dx = -2sin(t)dt, dy = 2cos(t)dt, and dz = 7dt.

Substituting the values into the line integral, we have:

∫ F · dr = ∫ (6x)i + (6y)j + (2)k · (-2sin(t)dt)i + (2cos(t)dt)j + (7dt)k

Simplifying the expression, we get:

∫ F · dr = ∫ -12sin(t)dt + 12cos(t)dt + 14dt

Integrating each term separately, we have:

∫ F · dr = -12∫ sin(t)dt + 12∫ cos(t)dt + 14∫ dt

= -12(-cos(t)) + 12(sin(t)) + 14t + C

Evaluating the integral from t = 0 to t = 2π, we get:

∫ F · dr = -12(-cos(2π)) + 12(sin(2π)) + 14(2π) - (-12(-cos(0)) + 12(sin(0)) + 14(0))

= -12 + 0 + 28π - (-12 + 0 + 0)

= 0 + 28π - 0

= 28π

Therefore, the work done by the force field F on the particle moving along the helix is 28π Joules.

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The minimum required diameter for the steel wire is 13.7 mm. the increase in the length of the wire cannot exceed 5.2 mm. The objective is to determine the minimum required diameter for the wire.

Given that a 3.75-kN tensile load will be applied to a 6-m length of steel wire with a modulus of elasticity E = 210,000 MPa and the normal stress cannot exceed 180 MPa.

Let d be the diameter of the wire, and the radius be r = d/2. The area of the wire's cross-section is A = πr²,

and the diameter is d = 2r.

The force applied is F = 3750 N,

and the length is L = 6 m.

The extension of the wire is δL = 0.0052 m.

Using the equations, stress (σ) = Force/Area

and strain (ε) = Extension/Original length, we can establish the relationship σ = E × ε, where E is the modulus of elasticity. Combining the equations (2) and (3), we have ε = F/(A × E).

By substituting σ = F/A and ε = F/(A × E), we can solve for A as

A = (F × L)/(E × ε). Plugging in the given values, we find

A = 10.714 * 10⁻⁴ m².

Further, the area can be expressed as A = π(d/2)². Equating the expressions for A, we get 10.714 * 10⁻⁴ = π(d/2)². Solving for d, we find

d = 0.0137 m or 13.7 mm.

Therefore, the minimum diameter required for the wire is 13.7 mm.

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Answer:

D) - 2.2y - 1.8

Step-by-step explanation:

Given expression;

1.2y + 4.5 - 3.4y - 6.3

simplify the expression by collecting like terms

= (1.2y - 3.4y) + (4.5 - 6.3)

= -2.2y - 1.8

Therefore, the correct option is D.

D) - 2.2y - 1.8

Answer:

b≤3

Step-by-step explanation:

For this problem, you want to solve it similarly to linear equations.

We start with 4b+6≤18.

Subtracting 6 from both sides gives 4b≤12.

From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.

**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!

The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat. The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour). A graph titled Baseball Speed has speed of swing (in miles per hour) on the x-axis, and distance (in feet) on the y-axis. A line goes through points (0, 0), (40, 200), (60, 300). Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?

Answer: the realtionship between exists is (50, 145)

Answer:

The distance is 5 times the swing speed. or c

Step-by-step explanation:

The recursive formula is f(n+1)= f(n)-5.

Given sequence :

f(1)= 6, n≥1.

Let f(n) denote the nth term of the given sequence.

f(1)= 6

f(2)= 1 = f(1)-5

f(3)= -4 = 1-5= f(2) -5

f(4)= -9 = 1-10 = f(2)-10

and so on

Hence, the recursive formula is f(n+1)= f(n)-5.

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Answer:

you substitue 8 for x then you sovle it like a normal equations

Step-by-step explanation:

thanks for points :D

Answer:

8 times 3

Step-by-step explanation:

since 8 times 3 = 24

The number which best completes the sequence is 31.

To identify the pattern in this sequence, we can observe that it alternates between adding 7 and adding 4. Let's see this step by step:

1. 2 + 7 = 9
2. 9 + 4 = 13
3. 13 + 7 = 20
4. 20 + 4 = 24
5. 24 + 7 = 31

However, there's a discrepancy in the sequence provided: the number 5, which should have been 20, and the number 10, which should have been 24. With the corrected sequence, it should look like this: 2, 9, 20, 13, 24, 19, 17.

The best number to complete the corrected sequence is 31, following the pattern of alternately adding 7 and 4.

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