7+x<16 i i quality notation

Answer:

Listen carefully in class take notes go home review, remember to listen carefully in class is very important, and you need a schedule to help you plan your time.

Step-by-step explanation:

Hope it's help

Brainliest pls

Answer:

Definitely pay attention

always ask questions

take a lot of notes

go through your notes

I recommend watching some videos about the math if you're lost

solve some problems in free time to try and understand

multiply Start Fraction 5 Over 7 End Fraction by 3.

What do math fractions mean?

An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                Whether it is in the numerator or denominator, a complex fraction contains a fraction.

                             The numerator and denominator of a correct fraction are opposite each other.

What is basic fraction theory?

Every fraction has two components: the numerator, which is the actual number of parts, and the denominator, which is the total number of parts.

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Answer:

c is the answer i took the test

Step-by-step explanation:

Answer:

y = 11x/13 + 36/13

Step-by-step explanation:

We can write the line using y = mx + b form.

To find the slope, m, we can use the formula (y1 - y2) / (x1 - x2):

(7-(-4)) / (5-(-8)) = (7+4) / (5+8) = 11 / 13.

To find b, we can plug in one of the points. Lets use (5, 7).

y = 11/13 * x + b

7 = 11/13 * 5 + b

7 - 55/13 = b

b = 91/13 - 55/13 = (91-55)/13 = 36/13.

Your equation is:

y = 11x/13 + 36/13.

Answer: y = \(\frac{11}{13}\)x + \(\frac{36}{13}\)

Step-by-step explanation:

First, we will find the slope.

       \(m=\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{-4-7}{-8-5} =\frac{-11}{-13} =\frac{11}{13}\)

Next, we will substitute this slope and a given point in and solve for our y-intercept (b).

       y = \(\frac{11}{13}\)x + b

       (7) = \(\frac{11}{13}\)(5) + b

       (7) = \(\frac{11}{13}\)(5) + b

       7 = \(\frac{55}{13}\) + b

       b = 7 - \(\frac{55}{13}\)

       b = \(\frac{36}{13}\)

Final equation:

       y = mx + b

     y = \(\frac{11}{13}\)x + \(\frac{36}{13}\)

The dimensions of the playground that maximize the total enclosed area is 100 feet.

Let,

L= length of entire playground

W = width of entire playground

Assume the dividing fence is parallel to the width.

Total fencing required

2L + 3W = 400

L= (400 − 3W)2

Area of entire playground,

A= L × W

= (400−3W)/2⋅W

= −3/2W^2 + 200W

Maximum area will occur at a point where the derivative of the area is equal to zero.

dA/dW = −3W+  200 = 0

W = 66 2/3

Substituting 91 1/3 for W in 2L + 3W = 400

gives

2L = 200

L = 100

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The centroidal is the Y-Y centroidal axis will need to use the transfer formula (1 = 1. + ada) to calculate the moment of inertia relative to the centroid for the given shape below. The moment of inertia of the rectangular section and two pipe sections are to be calculated separately and then added together to find the total moment of inertia.

The centroid of the rectangular section is given and that of pipe sections can be calculated using parallel axis theorem. The formula for moment of inertia of a rectangle about centroidal X-axis is

1/12 * b*h³.

Hence,

I = 1/12 * 0.5 * 4³

\(= 2.67 in^4.\)

The centroid of pipe sections is at a distance of 2 inches from the centroid of the rectangular section. The moment of inertia of a pipe section about a centroidal axis is

π/64 (OD⁴ – ID⁴).

Hence, the moment of inertia of both pipe sections about the centroidal X-axis is

\(2 * π/64 * (2 * 2^4 - 2 * 1.68^4) = 17.9 in^4.\)

The total moment of inertia about centroidal X-axis is 20.6 in^4.Question 10: The moment of inertia of the rectangular section and two pipe sections are to be calculated separately and then added together to find the total moment of inertia. The centroid of the rectangular section is given and that of pipe sections can be calculated using parallel axis theorem. The formula for moment of inertia of a rectangle about centroidal Y-axis is 1/12 * h*b³.

Hence, I

\(= 1/12 * 5 * 0.5³ = 0.0521 in^4.\)

The centroid of pipe sections is at a distance of 2.5 inches from the centroid of the rectangular section.

The moment of inertia of a pipe section about a centroidal axis is π/64 (OD⁴ – ID⁴). Hence, the moment of inertia of both pipe sections about the centroidal Y-axis is 2 *\(π/64 * (2.5^4 - 1.68^4) = 262 in^4.\)

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Answer:Yes I believe it does use strong evidence. Hope this helps

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

From -8 to 0 = 8+2 = 10

As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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The operating cost for the lowest 5% of the airplanes is approximately $4,381 (rounded to the nearest whole dollar).

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to the lowest 5% of the distribution is approximately -1.64.

\(z = (x - \mu) / \sigma\)

where:

x = operating cost we want to find

μ = mean hourly operating cost = $5,062

σ = standard deviation = $392

z = -1.64

Plugging in the values, we get:

-1.64 = (x - 5062) / 392

Solving for x, we get:

x = -1.64 * 392 + 5062

x ≈ $4,381.28

Operating cost refers to the expenses incurred by a business or organization in the course of its regular operations. It includes all the expenses required to maintain and sustain the production of goods or services, but excludes one-time capital expenditures like the purchase of property or equipment. Some common examples of operating costs include rent, salaries and wages, utilities, supplies, maintenance and repair, insurance, taxes, and marketing expenses. These costs are ongoing and necessary to keep the business running on a day-to-day basis.

Operating costs are important because they impact the profitability of a business. In order to remain competitive and profitable, businesses need to minimize their operating costs while maximizing their revenue. By carefully managing operating costs, businesses can improve their bottom line and invest in growth opportunities.

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The assumptions needed for the interval in (c) to be valid is the data must be obtained​ randomly, and the expected numbers of successes and failures must both be at least 15. Option B is correct.

The interval in (c) is a confidence interval for a proportion. To use this interval, we need to assume that the data were obtained randomly, and that the expected numbers of successes and failures are both at least 15. This assumption is necessary to ensure that the sampling distribution of the proportion is approximately normal, which is required to use the normal approximation for the confidence interval.

The sample data should be representative of the population, and should not be biased in any way. The sample size should be large enough so that the sampling distribution of the sample proportion is approximately normal. A rule of thumb is that the sample size should be at least 10 times the expected number of successes and failures. In this case, since the sample proportion is 0.7, the expected number of successes and failures are both greater than 15, so this condition is met.

The binomial distribution assumes that each trial has only two possible outcomes, and that the trials are independent. In this case, the outcome of each trial is whether or not a person was able to correctly identify the brand. Since the experiment is a paired difference experiment, it is reasonable to assume that the trials are independent. Option B is correct.

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The series ∑((-1)⁽ⁿ⁻¹⁾ * 5n)/(6n) from n = 1 to infinity converges based on the alternating series test.

To test the series for convergence or divergence using the alternating series test, we need to check if the terms of the series alternate in sign and if their absolute values decrease as n increases.

The series is given by:

∑((-1)⁽ⁿ⁻¹⁾  * 5n)/(6n) from n = 1 to infinity

Let's analyze the terms of the series:

Alternating sign: The terms alternate between positive and negative because of the (-1)⁽ⁿ⁻¹⁾ factor.

Decreasing absolute values: We can simplify the terms by canceling out the common factors of 5 and 6:

((-1)⁽ⁿ⁻¹⁾  * 5n)/(6n) = (-5/6)ⁿ

The absolute values of the terms are decreasing because

|(-5/6)ⁿ| < |(-5/6)⁽ⁿ⁻¹⁾ | for all n.

Since the series satisfies the conditions of the alternating series test, namely alternating sign and decreasing absolute values, we can conclude that the series converges.

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Answer:

The slope is -3

Step-by-step explanation:

Select two points on the line.  I have selected the points (1,5) and (2,2).  The slope is the change in y over the change in x.  The y values are 2 and 5,  The x values are 2 and 1.  You find the change by subtracting.

\(\frac{2-5}{2-1}\) = \(\frac{-3}{1}\) = -3

Another way to look at this is seeing the slope as the rise over the run.  If you start at (1,5) and only move right or left and up and down to get to (2,2), you would have to move straight down 3 spaces and then 1 space right.  Down is negative and right is positive, so the slope would be \(\frac{-3}{1}\) which equals -3.

Helping in the name of Jesus.

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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Answer:

E.

Step-by-step explanation:

not sure sorry...anyone help this

Answer:

the answer is D or A

Step-by-step explanation:

step-by-step explanation

I hope this helps

The resultant electric force on a charge +q placed at the centroid O of the equilateral triangle of side a, due to three charges −q,+q and −q placed at the corners of the triangle, is: F = 4kq^2 / (a^2/3)

To find the electric force on a charge +q placed at the centroid O of the triangle, we need to first find the electric field at point O due to the three charges placed at the corners of the equilateral triangle.

Let's assume that the charge q at the top corner of the equilateral triangle is at point A, the charge −q at the bottom left corner is at point B, and the charge −q at the bottom right corner is at point C.

The electric field due to the charge q at point O is given by:

E1 = kq / (OA)^2

where k is the Coulomb's constant and OA is the distance between the charge q and point O.

Similarly, the electric field due to the charge −q at point O is given by:

E2 = k(-q) / (OB)^2

where OB is the distance between the charge −q and point O.

The electric field due to the charge −q at point O is also given by:

E3 = k(-q) / (OC)^2

where OC is the distance between the charge −q and point O.

Since the equilateral triangle has three equal sides of length a, we can find the distances OA, OB and OC using trigonometry:

OA = OB = OC = a / sqrt(3)

Therefore, the electric fields due to the three charges at point O are:

E1 = kq / (a^2/3)

E2 = k(-q) / (a^2/3)

E3 = k(-q) / (a^2/3)

The direction of the electric field due to each charge is towards or away from the charge, depending on the sign of the charge.

Since the charges are arranged symmetrically, the electric fields due to charges at B and C are equal in magnitude and direction but opposite in sign. Therefore, the net electric field due to the charges at B and C at point O is zero.

The net electric field at point O due to charges at A and B is:

EAB = E1 - E2

Substituting the values of E1 and E2, we get:

EAB = kq / (a^2/3) - k(-q) / (a^2/3) = 2kq / (a^2/3)

The direction of the net electric field due to charges at A and B is towards the direction of charge q at point O.

Similarly, the net electric field at point O due to charges at A and C is:

EAC = E1 - E3

Substituting the values of E1 and E3, we get:

EAC = kq / (a^2/3) - k(-q) / (a^2/3) = 2kq / (a^2/3)

The direction of the net electric field due to charges at A and C is towards the direction of charge q at point O.

Since the net electric fields due to charges at A and B and charges at A and C are in the same direction, their vector sum is:

E = EAB + EAC = 4kq / (a^2/3)

The magnitude of the electric force on the charge +q at point O is given by:

F = qE = 4kq^2 / (a^2/3)

The direction of the electric force on the charge +q at point O is towards the direction of the net electric field, which is towards charge A.

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I have solved the question in general, as the given question is incomplete.

The complete question is :

Three charges −q,+q and −q are placed at the corners of an equilateral triangle of side a. What is the resultant electric force on a charge +q placed at the centroid O of the triangle ?

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

13 - 20%

14 - 150

:)

Number 1

\(\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}}\)

What percent of 80 is 16?

-We can make an equation to solve this

\(\frac{16}{80}=\frac{x}{100}\)

\(\frac{x}{100}\) is our what we would call our percent in math

and \(\frac{16}{80}\) is our whole and part you gave us

\(\frac{16}{80}=\frac{x}{100}\) cross multiply

\(80x=1600\)

\(x=20\)%

____________________

Number 2

\(\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}}\)

42 is 28% of what number?

-We can make an equation to solve this

\(\frac{42}{x}=\frac{28}{100}\)

\(\frac{28}{100}\) is our what we would call our percent in math

and \(\frac{42}{x}\) is our whole and part you gave us

\(\frac{42}{x}=\frac{28}{100}\) cross multiply

\(28x=4200\\x=150\)

\(\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}\)

To evaluate the integral ∫cos(√x)dx, we can make a substitution by letting u = √x.

Differentiating both sides with respect to x, we get du/dx = (1/2)(1/√x).

Solving for dx, we have dx = 2√x du.

Substituting these expressions into the integral, we have:

∫cos(√x)dx = ∫cos(u) (2√x du)

          = 2∫cos(u)√x du

Now, we can use integration by parts, which states:

∫u dv = uv - ∫v du

Let's choose u = √x and dv = cos(u)du.

Taking the differentials, we have du = (1/2)(1/√x) dx and v = ∫cos(u) du = sin(u).

Using the integration by parts formula, we can rewrite the integral:

2∫cos(u)√x du = 2(sin(u)√x - ∫sin(u)(1/2)(1/√x) dx)

              = 2(sin(√x)√x - (1/2)∫sin(u)(1/√x) dx)

              = 2(sin(√x)√x - (1/2)∫(sin(u)/√x) dx)

Now, we have a new integral to evaluate: ∫(sin(u)/√x) dx.

Integrating this term is straightforward as it becomes ∫(sin(u)/√x) dx = -2cos(u) + C.

Substituting this back into the previous expression, we have:

2(sin(√x)√x - (1/2)(-2cos(u) + C))

Simplifying further, we get:

2(sin(√x)√x + cos(u) + C)

Finally, substituting back u = √x, we obtain the result:

2(sin(√x)√x + cos(√x) + C)

Therefore, the integral of cos(√x) with respect to x is 2(sin(√x)√x + cos(√x)) + C, where C is the constant of integration.

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In a randomized controlled experiment, there is a control group and a treatment group.

This statement is i.e. option d is correct.

Randomized controlled experiments are commonly used in scientific research, particularly in medicine and psychology.

They are used to determine whether a treatment or intervention is effective or not.

In a randomized controlled experiment, the participants are randomly assigned to either the control group or the treatment group.

The control group is used as a comparison group and does not receive the treatment or intervention.

The treatment group, on the other hand, receives the treatment or intervention being studied.

There are several ways that a randomized controlled experiment can be designed to minimize the potential for bias. For example, in a randomized controlled experiment, random assignment of participants to groups helps to ensure that the two groups are similar at the outset of the study.

This reduces the likelihood that differences between the groups will be due to factors other than the treatment or intervention being studied.

Other ways that a randomized controlled experiment can be designed to minimize bias include blinding and use of placebos.

Blinding refers to the practice of keeping certain participants, such as those administering the treatment, unaware of which group a participant is in.

This helps to ensure that any differences between the two groups are not due to the expectations of the researchers or participants.

Use of placebos is another way to reduce bias in a randomized controlled experiment.

Placebos are inactive substances that are given to the control group to mimic the treatment group, ensuring that any differences between the groups are due to the treatment being studied and not other factors.

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The height of the rectangular prism of aquarium is 8 inches.

A right rectangular prism is a six-sided, three-dimensional geometric figure. The term "rectangular parallelepiped" is another name for it. Three pairs of congruent faces, each pair of which is parallel to the other, make up a right rectangular prism. In addition, it contains four vertices and three pairs of congruent edges. In a right rectangular prism, the opposing faces are parallel and congruent rectangles, and the angles separating the faces are all right angles. Multiplying the prism's length, width, and height yields the volume of a right rectangular prism.

Given that, the length is 19 in and width is 9 in and it can hold 1368 cubic inches of water.

The volume of a rectangle is given as:

V = lwh

Substitute the values:

1368 = 19(9)(h)

h = 1368/(19*9) ≈ 8 inches

Hence, the height of the rectangular prism of aquarium is 8 inches.

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Answer:

20 percent of them

Step-by-step explanation:

3/15=1/5=20%

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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The distance between points B and C is 10.3 miles.

Trigonometry is the study of angles and the angular relationships of planar and three-dimensional figures. Trigonometry is made up of trigonometric functions (also known as circular functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.

If we have a triangle with a right angle,

Then, tan = Opposite/Adjacent side

To find the distance,

In the ABC right angle triangle,

5.7 miles on the adjacent side = AB

θ = 61°

We must locate the BC.

tan = Opposite/Adjacent side

tan61°= BC/5.7

BC = 5.7×tan61°

BC = 10.283 = 10.3 (to the nearest tenth).

The figure is attached below.

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Answer:

goes in order like...

∠3

definiton of angle bisector

∠1

transitive property of congruence

Step-by-step explanation:

i took the test and got it right

Answer:

-2°F

Step-by-step explanation:

Let M and S represent Monday and Sunday's low temperatures respectively. The given information relates M and S with the equation:

\(M = 6 + \frac{S}{2}\)

We can rearrange the equation to solve for S.

\(S = 2(M-6)\)

We can substitute 5 for M and find that S = -2.

∴The low temperature on Sunday was -2°F.

.

Since the equation are the same no matter the arrangement, the value of -4y+x for the given equation to be true is 6.

Linear equation are equations that has a leading degree of 1.

Given the linear equation below:

x-4y=6

This expression can also be expressed as:

-4y + x = 6

Since according to the commutative law, x-4y = -4y+x, hence the value of -4y+x for the given equation to be true is 6.

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To see statistics by category you would use an aggregate query or a group by query.

To see statistics by category, you would typically use an aggregate query or a group by query.

These types of queries allow you to group data based on a specific category and calculate statistics or summaries for each category.

In SQL, you can use the GROUP BY clause to group data based on a specific column or columns. You can then use aggregate functions like COUNT, SUM, AVG, MAX, MIN, etc., to calculate statistics for each category.

Depending on the specific database management system or programming language you are using, the syntax may vary slightly, but the concept of using an aggregate or group by query remains the same.

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The pressure in the tyre when the volume is 140 cubic inches will be 30 pounds.

Boyle's law states that at a constant temperature, the pressure is inversely proportional to the volume. It means that the product of the pressure and the volume will remain constant for the given system.

Given that when air is pumped into an automobile tire, the pressure is inversely proportional to the volume. If the pressure is 35 pounds when the volume is 120 cubic inches.

The pressure will be calculated as:-

P₁V₁ = P₂V₂

( 35 x 120 ) = 140 x P₂

P₂ = ( 35 x 120 ) / 140

P₂ = 30 pounds

Therefore, when the volume is 140 cubic inches, the tire's pressure will be 30 pounds.

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