question subtract. write your answer as a fraction in simplest form. 19−(−29)=

All we need to do is substitute and solve:

f(-5) = 5(-5) + 40

f(-5) = -25 + 40

f(-5) = 15

Best of Luck!

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The answer of the given question based on the ellipse is , the y-coordinate of the center of the ellipse is -4. option (B).

To find the y-coordinate of the center of the ellipse, we need to rewrite the equation in standard form.

First, we divide both sides of the equation by 36 to simplify it:

(x+9)²/4 + (y+4)²/9 = 1

Comparing this equation with the standard form of an ellipse, (x-h)²/a² + (y-k)²/b² = 1,

we can identify the values of h and

k. The center of the ellipse is represented by the point (h,k).

From the given equation, we can see that h = -9 and k = -4.

Therefore, the y-coordinate of the center of the ellipse is -4.

Thus, the correct answer is B. -4.

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Answer:

Step-by-step explanation:

25 - 32 = -7  and 18 - 25 = -7

It means an arithmetic sequence with common difference d = -7

\(a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}\)

Answer:

ΔCFG is an isosceles triangle.

Step-by-step explanation:

From the picture attached,

From ΔABF and ΔEDG,

Conditions for ΔABF and ΔEDG by SSS property of congruence,

1). AB ≅ DE [Given]

2). (BC + CF) = (DF + CG)

CF = CG [Given → BC = DF]

3). FA ≅ EG

(AG + GF) ≅ (EF + GF)

AG ≅ EF

Since, two sides of ΔCFG are equal in measure

ΔCFG is an isosceles triangle.

This can be determined by property of congruency. Hence, \(\bold{2^{nd}}\)option i.e. ΔCFG is an isosceles triangle is most appropriate.

Given :

From figure ΔABF and ΔEDG  are congruence by SSS property.

Proof:

From ΔABF and ΔEDG in figure,

Conditions for ΔABF and ΔEDG by SSS property of congruence,

1). AB ≅ DE [Given]

   (BC + CF) = (DC + CG)

2). BF≅DG

     CF = CG [Given → BC = CD]

3). FA ≅ EG

     (AG + GF) ≅ (EF + GF)

    AG ≅ EF

Therefore, two sides of ΔCFG are equal in measure.

Thus,ΔCFG is an isosceles triangle.

Hence, \(\bold{2^{nd}}\) option i.e. ΔCFG is an isosceles triangle is most appropriate.

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this is the correct answer

The expected value if you play this game is 25 cents.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as probability.

Formula

Probability(Event) = Favorable Outcomes/Total Outcomes.

The total number of marbles is 2+10+20 = 32 marbles

The total probability of getting gold marble is P(g) = 2/32 = 0.0625

The total probability of getting silver marble isP(s) = 10/32 =0.3125

The total probability of getting black marble isP(b) = 20/32 =0.625

By multiplying the price by the likelihood and adding them together with the price for each scenario, we can determine the game's expected value.

E= 4P(g) + 2P(s) - 1P(b)

E= 4*0.0625 + 2*0.3125 - 1* 0.625

E= $0.25 or

E=25 cents

Hence, the expected value if you play this game is 25 cents.

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If the price of the dream car will increase at an annual rate of 1.7 percent, it will cost about $62,232.25 after 7 years.

To find the future cost of the dream car in 7 years, we can use the formula for compound interest.

The formula for compound interest is given:

A = P (1 + r/n)^nt

Where:

A = amount of money after n years

P = principal (initial) amount of money

r = annual interest rate

t = number of years

n = number of times interest is compounded per year

Given that the dream car costs $52,300 today and it will increase at an annual rate of 1.7%, we can find the future cost of the car in 7 years as follows:

P = $52,300r = 1.7% = 0.017t = 7 years

n = 1 (annual compounding)

Using these values in the formula

A = $52,300 (1 + 0.017/1)^(1*7)

A = $52,300 (1.017)^7A ≈ $62,232.25

Therefore, the dream car will cost about $62,232.25 after 7 years.

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Answer:

the counting numbers

Step-by-step explanation:

hope it helps u

Answer:

the counting numbers

since natural numbers is from 1 to infinity.

Shaping modifies behavior through reinforcement and extinction, while planned ignoring is an effective strategy with limitations.

Shaping is a behavior modification technique that involves reinforcing behaviors that are closer and closer to the desired target behavior. Instead of waiting for the complete behavior to occur, shaping allows for gradual progress by reinforcing successive approximations.

For example, in dog training, shaping can be used to teach a dog to roll over. Initially, the trainer may reinforce the dog for lying down, then for turning its head, then for rolling partially, until the dog eventually performs a full roll. This demonstrates how shaping breaks down a complex behavior into manageable steps.

Reinforcement and extinction are integral to the shaping process. Reinforcement involves providing rewards or positive consequences to strengthen and increase the frequency of desired behaviors.

In shaping, reinforcement is used to reward each successive approximation, encouraging the individual or animal to continue moving towards the target behavior.

On the other hand, extinction is the process of eliminating undesired behaviors by withholding reinforcement. By no longer providing rewards for an undesirable behavior, the behavior gradually decreases and eventually becomes extinct.

Planned ignoring is a strategy that can be effective in extinguishing undesirable behavior. It involves deliberately withholding attention or reinforcement when the undesired behavior occurs.

For example, a parent might choose to ignore a child's tantrum to discourage its recurrence. This approach works by removing the reinforcing element of attention, causing the behavior to diminish over time.

However, planned ignoring may not be appropriate in situations where immediate intervention or safety concerns are involved, as it relies on the absence of reinforcement and may prolong undesirable behaviors in certain cases.

In the context of a Christian walk, shaping can be understood as God's influence and guidance in shaping thoughts and behaviors. Through teachings, scripture, prayer, and spiritual growth, individuals are guided towards conforming to godly principles and values.

God shapes our character, molds our perspectives, and helps us develop behaviors that align with His will. It is through the process of learning and growing in faith that our thoughts and behaviors are transformed to reflect the teachings of Christ.

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Answer:

12 x13 = 156

Step-by-step explanation:

Answer:

12(13) = 156

Step-by-step explanation:

12² or 12 times 12 equals 144

12 times 13 is 156

Answer:

\(-3\)

Step-by-step explanation:

Combine the opposite terms in  r  −  3  −  r .

a continuous random variable x is normally distributed with a mean of 0 and a standard deviation of 1. the probability of an observation that lies within the range of -1.0 < x <1.0 is 0.6827.

       The explanation for normal distribution is described by two parameters, the mean (μ) and the standard deviation (σ).

         A continuous random variable X that is normally distributed has the probability density function, (X is a normally distributed variable):

                   f(x)=1σ√2π×e−12((x−μσ)2)

        A normal distribution with a mean of 0 and standard deviation of 1 is called standard normal distribution or Z-distribution. The probability for the standard normal distribution can be found using the standard normal distribution table.

   In this case, we have a continuous random variable x which is normally distributed with a mean of 0 and a standard deviation of 1. We are asked to find the probability of an observation that lies within the range of -1.0 < x < 1.0.

  In other words, we want to find: P(-1.0 < x < 1.0)

  To do this, we need to transform the interval (-1.0, 1.0) to a standard normal distribution as follows:

             Z=(X−μ)/σ = (X−0)/1

                              = X

   Next, we use a standard normal distribution table to find the probability for Z as follows:

             P(-1.0 < x < 1.0) = P(-1 < Z < 1)

                                      = P(Z < 1) - P(Z < -1)

    From the standard normal distribution table,

    We have P(Z < 1) = 0.8413 and

                   P(Z < -1) = 0.1587

   Therefore: P(-1.0 < x < 1.0) = 0.8413 - 0.1587

                                               = 0.6827

   Thus, the probability of an observation that lies within the range of -1.0 < x < 1.0 is 0.6827.

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Answer:

x<-3 or -3<x<-1 or x>-1

Step-by-step explanation:

Domain - The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

\mathrm{Domain\:of\:}\:\frac{1}{x^2+4x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:-3<x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}

No, 16x2 40x 25 is not a perfect square trinomial.

Perfect squares are numbers that are the result of multiplying a number by itself. Examples of perfect squares include 4, 9, 16, 25, 36, and 49. Perfect squares are also known as "square numbers" or "whole numbers." Perfect squares are not just limited to whole numbers; some decimals and fractions can also be perfect squares.

A perfect square trinomial is an expression of the form a2 + 2ab + b2, where a and b are constants. 16x2 40x 25 does not fit this form, and is therefore not a perfect square trinomial.

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Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

The program in Python is as follows:

age = int(input("Age: "))

if age>=13 and age <=19:

   print("Teenager")

else:

   print("Not a teenager")

Step-by-step explanation:

This gets input for age

age = int(input("Age: "))

This checks if age is between 13 and 19 (inclusive)

if age>=13 and age <=19:

If yes, the age is teenage

   print("Teenager")

If otherwise, the age is not teenage

else:

   print("Not a teenager")

Step 3 is incorrect because it states that if all the sides of two figures are proportional then those two figures are similar.

Step 6 is incorrect because it states that if needed, we should reflect A B C D over segment WX. This is incorrect because reflection is not required to prove two figures are similar.

A segment is part of a market that is specifically targeted for a product or service. It is defined by characteristics such as demographics, geography, buying behavior, and interests. Segmentation helps companies to identify their target market and direct their marketing activities accordingly.

We can prove two figures are similar using a sequence of transformations that includes translations, rotations, and dilations, but not reflections. Reflection may be used to help visualize similar figures, but it is not necessary to prove that they are similar.

from the question:

Step 3 is erroneous since it implies that two figures are identical if all of their sides are proportionate. This isn't always the case because two figures can resemble one another without having sides that are proportional. When two figures of the same shape, such as two squares or two circles, proportional sides can only ensure that the two figures are identical.

Step 6 is erroneous because it instructs us to reflect A, B, C, and D over segment WX if necessary. This is false since the similarity between two figures can be established without thought. Using a series of transformations that includes translations, rotations, and dilations but not reflections, we may demonstrate the similarity of the two figures. Reflection may be employed to aid in seeing related figures, but it is not required to establish their similarity.

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We have counted all the edges in the graph and there are no additional edges, which justifies our answer of 195 edges.

Now, First, let's consider the number of edges in the complete graph formed by the first 16 vertices.

A complete graph of size n has n(n-1)/2 edges.

Therefore, the complete graph formed by the first 16 vertices has,

= (16 x 15)/2

= 120 edges.

Now, let's add the remaining vertices to this graph.

Each of the remaining 5 vertices in V17 - V21 is connected to each vertex in the first 16 vertices, except for the vertices in its own clique.

Therefore, each of the remaining vertices contributes 16-1 = 15 edges to the graph.

This gives us a total of 5×15 = 75 edges.

Therefore, the total number of edges in G is,

120 + 75 = 195.

To justify this answer, we need to show that there are no other edges in G besides the ones we have counted.

Since the graph is formed only by the two cliques and the edges between the cliques, we only need to check if there are any additional edges that connect vertices within the same clique.

However, we know that the first 16 vertices form a complete graph, which means that there are no additional edges that can be added between them.

Similarly, the last 11 vertices form a complete graph, which means that there are no additional edges that can be added between them.

Therefore, we have counted all the edges in the graph and there are no additional edges, which justifies our answer of 195 edges.

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Kweku would save $180 in a year buying electricity for the Desla electric compared to buying gas for the Deswagon.

To make up for the higher sale price,

it will take him more than 66 years.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

Given:

Deselectric costs $11900 more than the Deswagon.

Unit cost:

Deselectric: $0.11 per mile.

Deswagon: $0.12 per mile.

Kweku drives about 18,000 miles a year.

That means

the cost for each car;

Deselectric: 18000 x 0.11 = $1980

Deswagon: 18000 x 0.12 = $2160

The more cost is,

= $2160 - $1980

= $180 of savings in a year.

Now, the make-up for the higher sale price,

= 11900/180

= 66.11 in years.

Therefore, it will take him more than 66 years.

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If we have the triangle ABC and we want to obtain the triangle DEF, we need to multiply every side of the triangle ABC by 3 as:

5 * 3 = 15

4 * 3 = 12

3 * 3 = 9

So, the scale factor of triangle ABC to triangle DEF is 3

Answer: 3

Answer:

Step-by-step explanation:

Cost of one: adult ticket : $7

Cost of one youth ticket: $3.5

Answer:

C.

Step-by-step explanation:

the ratio is 1:2

so,

\(4*2=8\\7*2=14\\1*2=2\)

the only shape with those numbers is C

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Answer: 125

Step-by-step explanation: 5•5•5

Answer:

42%

Step-by-step explanation:

Answer:

The Correct answer is C

communicative property

Answer:

(-12)²=(-12×-12)=144

Answer: 144

Step-by-step explanation:

(-12)^2

= -12(-12)

= 12(12)

= 144

To find the inverse Laplace transform of ℒ{e^(-s) / [s(s + 1)]}, we can use partial fraction decomposition and known Laplace transforms.

First, let's express the given function in partial fraction form:

e^(-s) / [s(s + 1)] = A/s + B/(s + 1)

To find A and B, we multiply both sides by s(s + 1) and then substitute appropriate values of s to simplify and solve for the coefficients:

e^(-s) = A(s + 1) + Bs

Setting s = 0, we get:

1 = A(0 + 1)

A = 1

Setting s = -1, we get:

e = B(-1)

B = -e

Therefore, the partial fraction decomposition is:

e^(-s) / [s(s + 1)] = 1/s - e/(s + 1)

Now, we can use the known Laplace transforms to find the inverse transform:

ℒ^(-1){1/s} = 1

ℒ^(-1){-e/(s + 1)} = -e^(-t)

Finally, we combine the inverse transforms:

f(t) = ℒ^(-1){e^(-s) / [s(s + 1)]} = ℒ^(-1){1/s} - ℒ^(-1){e/(s + 1)} = 1 - e^(-t)

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Answer:

b + c all over a = x

Step-by-step explanation:

Answer:

X= b+c/a

Step-by-step explanation:

When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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