-g + 2(3+g) = -4(g+1)

Answer:

144 cm^2

Step-by-step explanation:

A square has equal sides, and so if one side is 12 cm, so are the rest.

So 12 * 12 = 144.

Answer:

c

Step-by-step explanation:

Answer:

x = 8, y = 13

Step-by-step explanation:

Me disculpo de antemano por cualquier error de idioma, ya que estoy usando un traductor.

Como ya tenemos "y" en la primera ecuación, simplemente necesitamos usarlo como sustituto en la segunda ecuación.

x + ( x + 5 ) = 21

2x + 5 (-5) = 21 (-5)

2x = 16

x = 8

Entonces podemos usar el valor de "x" en la primera ecuación para encontrar "y".

y = (8) + 5

y = 13

Answer:

test score of new student = 43

Step-by-step explanation:

28 x 72 = 2016 (total points class scored)

29 x 71 = 2059 (total points class scored after student joined)

2059 - 2016 = 43

The test score of the student who joined the class is 43.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The mean test score of 28 students is 72.

A student joins the class and the mean becomes 71.

We have to find the test score of the student who joined the class.

28 x 72 = 2016

29 x 71 = 2059 (total points class scored after student joined)

The difference between 2016 and 2059 is the test score of new student.

2059 - 2016 = 43

Hence, the test score of the student who joined the class is 43.

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The slope m of the tangent to the curve will be m = -3/a^2.

Calculating the slope of the tangent line to the curve y = 3/x at a point where x = a > 0 is an important mathematical concept. To do this, we will first need to find the derivative of the curve y = 3/x.

Let's start by taking a look at the equation for the slope of a line: m = (y2-y1) / (x2-x1). We'll use this equation to find the slope of the tangent line at the point (a, 3/a).

To do this, we'll need to calculate the derivative of the given equation, which is y' = -3/x^2.

At the point (a, 3/a), the derivative is equal to -3/a^2. Therefore, the slope of the tangent line at the point (a, 3/a) is m = -3/a^2.

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The statement is true.

In the case of a fair die, where all six faces are equally likely to occur, the face value of the throw (denoted as "x") follows a discrete uniform distribution.

In a discrete uniform distribution, each possible outcome has an equal probability of occurring. In this case, the face values 1, 2, 3, 4, 5, and 6 all have an equal probability of being the result of a fair die roll.

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Answer:

they intersect at 0,-2

the preliminary goal when solving a trigonometric equation is to isolate the trigonometric function and simplify the expression using trigonometric identities. This can make it easier to solve for the solutions

When solving a trigonometric equation, the preliminary goal is to isolate the trigonometric function involved in the equation. This can be achieved by applying various trigonometric identities and simplifying the expression to a form that can be easily solved.
For example, consider the equation sin(x) + cos(x) = 1. To isolate the trigonometric function, we can use the identity sin^2(x) + cos^2(x) = 1 to rewrite the equation as 1 + sin(x)cos(x) = 1. Then, we can subtract 1 from both sides and factor out sin(x) to get sin(x)(cos(x) + 1) = 0. This equation can now be easily solved by setting each factor equal to 0 and solving for x.
It is important to note that there may be multiple solutions to a trigonometric equation, and that the solutions may not always be expressed in a familiar form. It is also important to check for extraneous solutions, which may occur when certain values of x result in undefined expressions or violate certain restrictions on the domain of the function.

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Answer:

I believe the multiplied number would be 4.

39 × 4 = 156

The number is = 4

Step-by-step explanation:

I'm not sure what is 46 at the end of the question.

He have left to memorize = 16  words.

a percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. percentage.

Percentage derives from the Latin word per centum, which means "by the hundred." The Latin expression was adopted by English in the sixteenth century. In the future, it was shortened to % with a final period. The two sections were eventually combined, the period was omitted, and the result was the contemporary one-word form %.

20 words should be committed to memory.

Has completed 4/5 of the portion.

The number of words he has memorized =

= 20 * 4/5,

which equals 16.

Thus,

The total number of words Ivan has memorized up to this point is sixteen (16), as he has only learnt four of the total (five-fifths), or five sections of four words each. 16 (sixteen) is the answer, therefore.

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Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 3 are corresponding angles

each is in the same position ( the upper left hand corner) in its group of 4 angles.

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

7/6

Step-by-step explanation:

we need to find the least common denominator, in this case, it is six. multiply each value I  3/2 by three to get the denominator to 6.

3x2/2x2 = 9/6

now we add the nominators and keep the common denominator.

-2/6 + 9/6 = 7/6 or 1 1/6

Question 37:  The following is a solution to the differential equation y = t - 1. d.

Question 38:  The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.

To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.

By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.

Let's differentiate y = tⁿ with respect to t:

dy/dt = n × tⁿ⁻¹

d²y/dt² = n(n-1) × tⁿ⁻²

Substituting these derivatives into the differential equation:

t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0

Simplifying the equation:

n(n-1)tⁿ - 6ntⁿ + 12 = 0

n(n-1)tⁿ - 6ntⁿ = -12

Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.

We can equate the coefficients:

n(n-1) = 0

n = 0 or n = 1

The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.

According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.

We can write the differential equation as follows:

dT/dt = k(S - T)

dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.

The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.

We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.

This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.

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The total mass of the wire is approximately 1963.5 units, using the given density function.

We can start by using the formula for total mass of a wire with density function ρ(x,y) given by:

M = ∫ρ(x,y)ds

where ds is the element of arc length. In this case, we have parametric equations for the curve, so we can use:

ds = √\((dx/dt)^2 + (dy/dt)^2\) dt

Plugging in the values for x and y, we get:

ds = √\((10sin(t))^2 + (10cos(t))^2\) dt

ds = 10dt

Now, we can compute the integral for the total mass:

M = ∫ρ(x,y)ds

M = ∫\((x^2y^2)(10)dt\)

M = 10∫\((100sin^2(t)cos^2(t))(10)dt\)

M = 10(100)∫\((sin^2(t)cos^2(t))dt\)

We can use the identity \(sin^2(t)cos^2(t) = (1/4)(sin(2t))^2\) to simplify this integral:

M = 10(100)∫\((1/4)(sin(2t))^2dt\)

M = 2500∫\((1/4)(sin(2t))^2dt\)

M = 2500∫(1/4)(1/2)(1 - cos(4t))dt

M = 1250∫(1 - cos(4t))dt

M = 1250(t - (1/4)sin(4t)) + C

Evaluating this expression from t=0 to t=π/2 and simplifying, we get:

M = 1250(π/2) ≈ 1963.5

Therefore, the total mass of the wire is approximately 1963.5 units, using the given density function.

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Answer:is 18 yd the radius

Step-by-step explanation:

if so its 113.1

X=10 because the figure as a whole is a rectangle and the corresponding sides should have congruent lengths

Step-by-step explanation:

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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The statements are true for the given geometric sequence.

The domain is the set of natural numbers.

The recursive formula representing the sequence is f(x + 1) = 3/2(f(x )) when f(1) = 4.

The sequence shows exponential growth.

We have given the graph.

What is the geometric sequence?

A geometric sequence is a sequence in which the ratio of every two successive terms is a constant.

The graph is given below we can see that

The domain is the set of natural numbers.

The recursive formula representing the sequence is

f(x + 1) = 3/2(f(x )) when f(1) = 4.

The given graph grows exponentially.

The sequence shows exponential growth

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Answer:

a, c, e

The domain is the set of natural numbers.

The recursive formula representing the sequence is f(x+1) = Three-halves(f(x)) when f(1) = 4

The sequence shows exponential growth.

Step-by-step explanation:

The correct option among the four options that are given in the question is option C. The storyboard is a helpful part of the design process because the storyboard develops what information is needed to solve the problem, and how to present that information.

What is a storyboard?

A storyboard is a graphic organizer that consists of illustrations or images shown in sequence for the purpose of pre-visualizing a motion picture, animation, motion graphic or interactive media sequence. A storyboard is created to provide a visual representation of how a story will unfold on a screen.Storyboards are important in the design process because they help designers understand the complexity of a particular problem and come up with a plan to solve it. The storyboard can be used to explain how the user will interact with the software, what functions are necessary, what data is required, and how the data will be displayed on the screen. Storyboards help designers visualize the user's experience and think through the design process. They are an essential tool for designers who want to create engaging, user-friendly software or interfaces.

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False. A probability distribution for a discrete variable is not exclusive, collectively exhaustive list of numerical outcomes for that variable and the probability of occurrence associated with each outcome.

A probability distribution for a discrete variable is a list of all possible values that the variable can take on, along with the probability of each value occurring. The values must be collectively exhaustive (meaning they include all possible outcomes) and mutually exclusive (meaning that each outcome cannot occur at the same time as any other outcome). However, the numerical outcomes do not have to be exclusive, as they can have the same probability of occurring. For example, a coin toss has two possible outcomes (heads and tails) with equal probability, and a dice roll has six possible outcomes with equal probability. These probabilities can be represented using a probability distribution.

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Answer:

Your answer is D

Step-by-step explanation:

45 divided by 5 equals 9

Answer:

easy 45 dived by 9 is 5

Step-by-step explanation:

hope it helps

Answer:

-63

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Start by plugging in all the domain values (domain means input) into the function.

f(-1) = 4(-1) + 6 =-4+6=2

f(0) = 4(0) +6=0+6= 6

f(2) = 4(2) +6 = 8+6=14

Answer: a = -2

4a + 6 - 6 = 5a + 2

4a = 5a + 2

Subtract 5a from both sides

-a = 2

A = -2

Answer:

hiya.

Step-by-step explanation:

Answer:

helloooooooooooooo

Step-by-step explanation:

but on a more serious note

pls give brainliest

pls

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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The average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

Explanation:

The average acceleration of a body over a given time interval is defined as the change in velocity divided by the time interval. In this case, we are given the velocity function vA(t) for Train A, and we want to find its average acceleration over the interval 2 ≤ t ≤ 8.

To find the change in velocity over this interval, we can subtract the velocity at t=2 from the velocity at t=8:

Δv = vA(8) - vA(2) = (-120) - 100 = -220 meters per minute

To find the time interval, we can subtract 2 from 8:

Δt = 8 - 2 = 6 minutes

Now we can use the formula for average acceleration:

a = Δv/Δt = (-220)/6 = -40 meters per minute squared

Therefore, the average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

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The correct system of equations is A. x+y=1212 and x-y=518.

Let us assume the two numbers to be x and y. Based on the first statement, the equation will be:

x + y = 1212

Based on the second statement, the equation will be:

x - y = 518

Using the equation to find the value of x and y

Adding these two equations. We get -

2x = 1730

x = 1730 ÷ 2

Performing division

x = 865

Keeping the value of x in first equation to find the value of y

y = 1212 - 865

Performing subtraction

y = 347

Thus, the system of equations that can solve this problem are: x+y=1212 and x-y=518.

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The complete question is attached in figure.

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)