What is an example of a geometric term?

Answer:

2

Step-by-step explanation:

2

Answer: A

Step-by-step explanation:

Answer:

-3 is a constant.

Step-by-step explanation:

The given equation is :

4x+5y-3 ...(1)

The general equation is :

ax+by+c ...(2)

c is a constant

If we compare equations (1) and (2), we find that.

c=-3

Hence, the constant in this expression is -3.

Using the information given in the exercise, you can draw the following diagram:

Where β is the angle of depression (in degrees) from the edge of the diving board to the surface of the water where Sierra is located.

In order to find the measure of the angle of depression, you need to use the following Inverse trigonometric function:

In this case, you can identify that:

Therefore, substituting the values, you get the following result:

The answer is:

Answer:

Step-by-step explanation:

The solution of each question is self-explanatory.

Used properties

Answer:

38°; 142°; 308°

Step-by-step explanation:

belive me

Answer:

D

Step-by-step explanation:

they are like terms

The given expression of trigonometry is equivalent to cos(2θ).

trigonometry capability, in math, one of six capabilities (sine [sin], cosine [cos], digression [tan], cotangent [cot], secant [sec], and co-secant [csc]) that address proportions of sides of right triangles. These six geometrical capabilities comparable to a right triangle.

We have,

1 - tan^2(θ)/1 +  tan^2(θ)

Use 1 + tan^2(θ) = sec^2(θ)

1 - tan^2(θ)/ sec^2(θ)

1/ sec^2(θ) - tan^2(θ)/sec^2(θ)

Use tan(θ) = sin(θ)/cos(θ)

cos^2(θ) - sin^2(θ)×cos^2(θ)/cos^2(θ)

cos^2(θ) - sin^2(θ)

Using sin^(θ) + cos^2(θ) = 1

cos^2(θ) - (1 - cos^2(θ))

2cos^2(θ) - 1

Here we have 2cos^2(θ) - 1 = cos(2θ)

Then, simplification of given expression is cos(2θ).

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Correct question:

which expression is equivalent to 1 - tan^2(θ)/1 +  tan^2(θ) for all values of θ for which 1 - tan^2(θ)/1 +  tan^2(θ) is defined?

The answer is Oscillating with decreasing amplitude

The given differential equation is `y'' + 25y = 0`.

Also, the initial conditions are given as `y(0) = 4` and `y'(0) = 10`.

We need to find the behavior of the solution.So, the characteristic equation is `r² + 25 = 0`.

The roots of the characteristic equation are `r = ±5i`.

Therefore, the general solution is `y = c₁ cos 5t + c₂ sin 5t`.

We need to apply the initial conditions to find the values of constants `c₁` and `c₂`.

The given initial condition is `y(0) = 4`.Applying it, we get `4 = c₁ cos 0 + c₂ sin 0``⟹ c₁ = 4`.

The other given initial condition is `y'(0) = 10`.

Differentiating the general solution with respect to `t`,

we get `y' = -5c₁ sin 5t + 5c₂ cos 5t`.

Now, we can apply `t = 0` and `y'(0) = 10` to get `y'(0) = 10``⟹ 10 = 5c₂``⟹ c₂ = 2`.

Therefore, the solution of the differential equation `y'' + 25y = 0` with the given initial conditions is `y = 4 cos 5t + 2 sin 5t`.

The given options are:O Oscillating with decreasing amplitude O Steady oscillation Oscillating with increasing amplitude=- LO

The general solution obtained above is in the form of cosine and sine functions which represent the oscillatory motion. The given differential equation is second-order, so the oscillation will be of two types depending upon the values of constants.

For the given solution, the amplitude of oscillations is not constant but changing with time.

Hence, the answer is Oscillating with decreasing amplitude.

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The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.

Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.

Therefore ∠1 is just one-half of the ∠SUT.

Therefore the measurement of ∠1 is 17°.

Answer:

8.5 inches

Step-by-step explanation:

7^2 + b^2 = 11^2

b^2 = 72

hence b = 8.5

Answer:

2 1/3

Step-by-step explanation:

if joshua has enough juice than  this is how much he needs

Using the Laplace transform, the value of y' + y = (t − 1), y(0) = 5 is y(t) = 5e ^ -t + u (t - 1)e^(1-t)

Laplace rework is an critical rework approach that is in particular useful in fixing linear normal equations. It unearths very huge applications in  regions of physics, electrical engineering, control optics, arithmetic and sign processing.

y' + y = (t − 1)

y (0) = 5

Taking the Laplace transformation of the differential equation

⇒sY(s) - y (0) + Y(s) = e-s

⇒(s + 1)Y(s) = (5+ e^-s)/s + 1

⇒y(t) = L^-1{5/s+1} + {e ^-s/s + 1}

⇒y(t) = 5 e^-t + u(t -1)e^1-t

The Laplace remodel method, the feature within the time area is transformed to a Laplace characteristic within the frequency domain. This Laplace feature will be inside the shape of an algebraic equation and it can be solved easily.

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The x-coordinate of the vertex is 0.  the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

To find the dimensions that will create the maximum area of the prop section, we need to analyze the given equation A = -x^2 + 40. The equation represents a quadratic function in the form of A = -x^2 + 40., where A represents the area of the prop section and x represents the dimension.

The quadratic function is in the form of a downward-opening parabola since the coefficient of is negative (-1 in this case). The vertex of the parabola represents the maximum point on the graph, which corresponds to the maximum area of the prop section.

To determine the x-coordinate of the vertex, we can use the formula x = -b / (2a), where the quadratic equation is in the form Ax^2 + Bx + C and a, b, and c are the coefficients. In this case, the equation is -x^2 + 40, so a = -1 and b = 0. Plugging these values into the formula, we get x = 0 / (-2 * -1) = 0.

Therefore, the x-coordinate of the vertex is 0. To find the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation  A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

Hence, the equation that reveals the dimensions that will create the maximum area of the prop section is A = 40. This means that regardless of the dimension x, the area of the prop section will be maximized at 40 units.

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Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).

This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.

This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.

The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.

The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.

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a. The mean of the binomial distribution is  4.7

b. The variance of the binomial distribution is 1.1

c. The standard deviation of the binomial distribution is 1.0

Probability of success p = 0.78

Number of trials n = 6

(a) Mean of the binomial distribution:

The mean or expected value of a binomial distribution is given by np.

Therefore, the mean of this binomial distribution is:

μ = np = 6 x 0.78 = 4.68

So, the mean is 4.7 (rounded to one decimal place).

(b) Variance of the binomial distribution:

The variance of a binomial distribution is given by np(1 - p).

Therefore, the variance of this binomial distribution is:

σ^2 = np(1 - p) = 6 x 0.78 x 0.22 = 1.0608

So, the variance is 1.1 (rounded to one decimal place).

(c) Standard deviation of the binomial distribution:

The standard deviation of a binomial distribution is the square root of the variance.

Therefore, the standard deviation of this binomial distribution is:

σ = √(np(1 - p)) = √(1.0608) = 1.03

So, the standard deviation is 1.0 (rounded to one decimal place).

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Answer:

B. \(4\sqrt{2}\)

Step-by-step explanation:

EG is equal to 4

ED and DG, however, are equal to \(x\sqrt{2}\)

So, we can do \(x\sqrt{2} = 4\)

This comes out to \(x=2\sqrt{2}\)

So, \(x^{2}\) is the area of the square.

\(2\sqrt{2} ^{2}\) is equal to \(4\sqrt{2}\)

Answer:

y = -2x + 10

Step-by-step explanation:

The equation is y = mx + b

1. Find the slope first.

--> (y2 - y1) / (x2 - x1) = slope

--> (-12 - -6) / (11 - 8) = (-6) / (3) = -2

2. Then, find the y-intercept (b) by plugging one of the points

--> y = -2x + b

--> -6 = -2(8) + b

--> -6 = -16 + b

--> b = 10

3. Combine

--> y = -2x + 10

Answer:

there are 12 fourths in 3 .

Answer: 56mm

Step-by-step explanation:

A=(a+b)/2 x h

A=(4+12)/2 x 7

A=16/2 x 7

A=8 x 7

A= 56mm

The total amount of money collected by the shop on Monday is $13410.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

During a sale, a shop sold diaries at $18 each.

One diary was given free with every 3 diaries bought.

Now,

A.  the maximum number of diaries that could be bought with $500;

=500/18=27.7

Free diaries with 27 diaries=27/3=9

B. Number of diaries company will receive;

=740/18=41

Free diaries=41/3=13

Total diaries company will get= 41+13=54

C.  The total amount of money collected;

1/5th of 745=149

Diaries left=745-149=596

Cost= 745*18=13410

Therefore, by algebra the cost of diaries will be $13410.

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The relative frequency for B grade is 0.37.

The relative frequency, also called empirical probability or experimental probability refers to the ratio of the number of desired outcomes of an event occurring to the total number of trials in an actual experiment. In other words, a relative frequency reveals how often a specific type of event takes place within the total number of observations.

It is determined as a quotient value of frequency over the total possible outcomes. The sum of all relative frequencies for a particular experiment is always one. Hence, based on the given relative frequency distribution,

0.22 + x + 0.18 + 0.17 + 0.06 = 1

0.63 + x = 1

x = 1 – 0.63

x = 0.37

The relative frequency for B grade is 0.37.

Note: The question is incomplete. The complete question probably is: The following is a partial relative frequency distribution of grades in an introductory statistics course. Grade = A, B, C, D, F. Relative Frequency = 0.22, x, 0.18, 0.17, 0.06. Find the value of x, the relative frequency for B grade.

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Obtaining assessment results from the previous year for students entering the fourth-grade class allows the teacher to gain valuable insights into their academic strengths and weaknesses.

By reviewing the assessment results from the previous year, the fourth-grade teacher can obtain a clear understanding of each student's individual academic performance. This information helps the teacher tailor their instructional strategies to meet the specific needs of each student. For students who excelled in certain areas, the teacher can provide enrichment activities or more challenging assignments to keep them engaged and motivated. On the other hand, for students who struggled in certain subjects, the teacher can offer targeted interventions and additional support to help them catch up.

Furthermore, the assessment results can guide the teacher in identifying any learning gaps or misconceptions that need to be addressed early on in the school year. Overall, utilizing the previous year's assessment results allows the teacher to create a more personalized and effective learning experience for their fourth-grade students, fostering growth and academic success.

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The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

How to find the volume of a rectangular prism and pyramid?

The formula for the volume of a rectangular prism is:

Volume = Length * Width * Height

The formula for the volume of a pyramid is:

Volume = (Base Area * Height) / 3

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.

Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.

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(i)The smallest number that should divide 6125 to make it a perfect cube is 7. (ii)The smallest number that should divide 47916 to make it a perfect cube is 56.

(i) 6125: To begin, we can determine whether 6125 is a perfect cube by determining the prime factors that make up 6125:

6125 =

To create a perfect cube, 6125 must be divided by the smallest number possible, which is 7.

6125 divided by 7 equals: 6125 / 7 = 875

The result of raising the number 5 to the power of 3 is 875.

(ii) 47916: We can start by determining its prime factorization to see if 47916 is a perfect cube:

47916 =

To the power of two times three yields: 47916 / (2 x 2 x 2) = 5990.5

47916 / 7 = 6845.14 is the result of raising 7 to the power of 3.

47916 divided by 56 equals 855 (47916 / 56).

Increasing the 2 to the power of 3 and the 7 to the power factors

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Answer:

95

Step-by-step explanation:

8455/89 is 95

Step-by-step explanation:

as u can use the rules of numbers u can realize -1+12=12-1=11

Answer:

-

Step-by-step explanation:

-1+12

=12-1

=11

:)

Answer:

My friend, you have to look further than how stressful school presently is. I advice you to find something you love while you're young and devote your time to it. As a high school senior, I am super into computers and I practice game design as a hobby. you need to get something that drives you. also you gotta practice study especially if you wanna make it into college. Stay strong man

Answer:

I can't add anything beacuse of copyright

Answer

10.25

Step-by-step explanation:

pls mark me as brainliest its required :)

Answer:

Step-by-step explanation:

-7x - 6y = 4

-9x + 6y = 60

-16x  = 64

x = -4

-3(-4)+2y=20

12+2y=20

2y=8

y =4

(-4,4)