What's the value of A?

Answer:

g(x)=x^3+2x^2 - 4

Step-by-step explanation:

See attached worksheet

Step-by-step explanation:

The Rational Roots Test states that for a polynomial with integer coefficients, the factors of the constant / the factors of the leading coefficient are the possible rational roots.

Here, the constant (the value without an x attached to it) is -12 and the leading coefficient (the value that the x to the highest degree is multiplied by) is 1 as x⁴ is multiplied by 1. The factors of -12 are

±(1, 2, 3, 4, 6, 12), so the possible rational roots are ±(1, 2, 3, 4, 6, 12)/1 (as 1 is the only factor of 1).

Trying out a few roots until we get one that works using synthetic division, we can try

x+1 (the root is x=-1)

-1  |     1       1        -6         -14         -12

    |            -1          0          6           8

    __________________________

          1     0        -6            -8         -4

the remainder is -4, so this does not work

x+2 (the root is x=-2)

-2 |     1       1        -6         -14         -12

    |            -2          2          8          12

    __________________________

          1      -1       -4           -6         0

Therefore, x=-2 is a root and x+2 is a factor of the polynomial. The quotient of the polynomial and x+2 is

-6 + (-4)x + (-1)* x² + 1 * x³ = x³-x²-4x-6

Using the rational roots theorem, the possible roots of x³-x²-4x-6 are

±(1,2,3,6)

Starting with

x-1 (root is x=1), we have

1 |     1       -1        -4         -6      

    |            1          0         -4        

    _____________________

          1      0       -4           -10

there is a remainder, so this is not a root

next, x-2 (root is x=2)

2 |     1       -1        -4         -6      

    |            2         2         -4        

    _____________________

          1      1       -2           -10      

there is a remainder, so this is not a root

next, x-3 (root is x=3)

3|     1       -1        -4         -6      

    |            3         6         6        

    _____________________

          1      2      2          0

x-3 is a factor and 3 is a root. the quotient of (x³-x²-4x-6)/(x-3) is x²+2x+2

Answer:

3/10 liters more

Step-by-step explanation:

8/10 - 5/10 = 3/10

The value of e raised to the power of (0.5²) using the Taylor remainder formula is approximately 1.648.

To estimate this value, we can use the Taylor series expansion of the exponential function:

ex = 1 + x + (x²/2!) + (x³/3!) + ...

In this case, we want to find e(0.5²), which means x = 0.5² = 0.25. We will approximate the value by considering the terms up to the third degree:

e(0.25) ≈ 1 + 0.25 + (0.25²/2!) + (0.25³/3!)

Calculating this expression, we get:

e(0.25) ≈ 1 + 0.25 + (0.25²/2) + (0.25³/6)

≈ 1 + 0.25 + 0.03125 + 0.00521

≈ 1.28546

To determine the accuracy of this approximation, we can use the Taylor remainder formula, which states that the error of the approximation is given by the next term in the Taylor series expansion. In this case, the next term is (0.25⁴/4!) ≈ 0.00032552. Since the error term is small, we can conclude that our approximation is accurate to at least three decimal places. Thus, the estimated value of e^(0.5²) is approximately 1.648.

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the complete question is:

Estimate the value of e(0.5²) to at least three correct decimal places by using the Taylor remainder formula.

Answer:

find the graph where y is 3 less than x in value

Step-by-step explanation:

the answer explains it if you showed us the graphs we would be able to answer it for you

Annswer:  11:15 AM

Step-by-step explanation:

Together, the turtles are travelling at 3 kilometers per hour. There is 0.75 kilometers in 750 meters. Divide that by 3. You get 0.25 (1/4). 1/4 of 1 hour is 15 minutes so add that by 11:00 and you get the answer.

The both started at 11.00 a.m then they will meet at 11:15 a.m

We have given that

Two turtles, which are 750 meters apart and the are moving towards each other

average speed of 1 km/h, and the other travels 1 km/h faster

Therefore we have to find When will the turtles meet.

First turtle travels at an average speed of 1 km/h.

Thus; v₁ = 1 km/h

Second turtle travels at an average speed of 1 km/hr faster than the first.

Thus; v₂ = 2 km/h

Since second turtle is moving 2 times faster than the first one, it means the second turtle will cover 2/3 of the total distance while the first will cover 1/3 of the total distance at the point they will meet.

What is the value of 1 kilometre in meter

1 km=1000 meter

So,

Distance covered by turtle 2

\(= 2/3 * 0.750 = 0.5 km\)

\(Time = distance/speed\)

\(Time = 0.5/2\)

\(Time= 0.25 hours \\\\ Time= 15 minutes\)

Since they both started at 11.00 a.m then they will meet at 11:15 a.m

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A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

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As the number 31 is a prime number, it has only two factors, such as one and the number itself. Therefore, the factors of 31 are 1 and 31.

Natural numbers known as prime numbers can only be divided by one (1) and by the number itself. In other terms, prime numbers are positive integers greater than one that only have the number itself and the number's first digit as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are only a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The only two variables in a prime number are 1 and the number itself. Prime numbers are the natural numbers greater than 1.

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Answer: 1

Yessssssssssssssss

In this situation, the teacher could use a hypothesis test for a population means to determine if the computer-based instruction led to a statistically significant improvement in the student's test scores. The population in this case would be the entire class of students, and the mean would represent the average difference in test scores between the pretest and posttest.

The teacher can use a hypothesis test for a population means in the following situation:

1. Determine the population: The teacher's population consists of all the students who participated in the experiment.

2. Calculate the mean pretest score: The teacher will compute the average score of all the students' pretest results.

3. Implement computer-based instruction: The teacher teaches a lesson using a computer program.

4. Conduct a posttest: After the lesson, the teacher administers a posttest to each student.

5. Calculate the mean post-test score: The teacher will compute the average score of all the students' post-test results.

6. Formulate a null hypothesis: The null hypothesis states that there is no significant difference between the pretest and posttest mean scores. In other words, computer-based instruction did not have a significant impact on the students' performance.

7. Conduct a hypothesis test for a population mean: The teacher will use a statistical test, such as a t-test, to compare the pretest and posttest mean scores. This test will determine whether there is a significant difference between the two means that suggests the computer-based instruction had a positive effect on the student's performance.

8. Interpret the results: If the hypothesis test shows a significant difference between the pretest and posttest mean scores, the teacher can conclude that the computer-based instruction likely had a positive impact on the students' learning. Otherwise, the null hypothesis cannot be rejected, and the teacher may need to explore other instructional methods or factors that could have influenced the results.

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Respuesta:

616,250

Explicación paso a paso:

Dado que:

Precio inicial = 725.000

Porcentaje de descuento por pagar en efectivo = 15% = 0,15

El precio con descuento será:

Importe inicial - descuento

Descuento = 0,15 * 725000 = 108,750

Precio con descuento = (725000 - 108750) = 616,250

Using angle sum property we found that ∠ x = 113°, ∠y = 67°  and ∠z = 49°

The angle sum property of triangle states that the sum of all the interior angles of a triangle is 180°.

If ΔABC is a triangle then,

m ∠A + m ∠B + m ∠C = 180°

Given from the figure in the question that 28°, 39° and x° are interior angles of a triangle, then using angle sum property:

28° + 39° + x° = 180°

⇒ 67° + x° = 180°

⇒ x° = 180° - 67° = 113°

∠x and ∠y are on the same line same point therefore their sum will be 180°

⇒ x° + y° = 180°

⇒ 113° + y° = 180°

⇒ y° = 180° - 113° = 67°

Also an exterior angle of a triangle is equal to sum of interior opposite angles.

∴ y ° = 28° + 39° = 67°

Now, 64° , y° and z° are interior angles of same triangle from the figure in the question.

∴ Using angle sum property,

64° + y° + z° = 180°

⇒ y ° + z° = 180° - 64° = 116°

⇒ y° + z° = 116°

⇒ z° = 116° - y° = 116° - 67°  = 49°

Therefore ∠x, ∠y , ∠z are 113° , 67° and 49° respectively

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Answer:

El uranio es el combustible más utilizado para producir energía nuclear. Eso es porque los átomos de uranio se separan con relativa facilidad. El uranio también es un elemento muy común que se encuentra en las rocas de todo el mundo.

Step-by-step explanation:

por favor marque como brainliest

The given company has two major departments: Development and Marketing. A total of twelve employees are selected randomly from each of the department and their ages are recorded. It is also mentioned that both of the departments have an employee who is of age 56 years. It is equally unusual to have a 56-year-old employee in both the departments.

To solve this problem, we need to determine the spread of the ages in each department. The spread of the ages in each department can be determined by calculating the range. The range is the difference between the maximum age and the minimum age in each department. We will then compare the range in both departments. The department with the greater range will be considered to be more unusual to have a 56-year-old employee.

The following are the ages of the employees in the Development and Marketing departments respectively: Development Department: 43, 24, 38, 56, 29, 22, 45, 47, 40, 33, 28, 30Marketing Department: 41, 56, 35, 23, 26, 49, 42, 50, 38, 29, 55, 46The range of the Development department can be calculated as: Range = Maximum Age - Minimum Age= 56 - 22= 34The range of the Marketing department can be calculated as: Range = Maximum Age - Minimum Age= 56 - 23= 33As we can see, the range in both departments is close. The range of the Development department is 34 and the range of the Marketing department is 33.

Therefore, it is difficult to determine which department is more unusual to have a 56-year-old employee. Hence, the answer is that it is equally unusual to have a 56-year-old employee in both the departments.

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Answer:

No, 15/21 and 40/56 do not form a proportion.

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

15 times 30 = 4.5

15-4.5=10.50

Answer:

14 5/8

Step-by-step explanation

1) Convert the mixed number to an improper fraction

3 3/8 = 3 x 8 + 3 / 8 = 24 + 3/ 8=  27/8

2) Convert the second mixed number to an improper fraction

4 1/3 = 4 x 3 + 1/ 3 = 12 + 1/3= 13/3

3) Multiply 27/8 x 13/3= 351/24 divided by 3 = 117/8 117/8 as a mixed number is 14 5/8

4) 14 5/8 is the final answer simplified

Answer:

\(\frac{117}{8}\) (or \(14\frac{5}{8}\) in mixed number form)

Step-by-step explanation:

1) First, convert \(3\frac{3}{8}\) and \(4\frac{1}{3}\) into improper fractions. (Multiply the denominator by the whole number at the front, then add the numerator. The number that you receive from this would be the new numerator, and the denominator would still be the same.) This would be \(\frac{27}{8}\) and \(\frac{13}{3}\) respectively.

2) Multiply the two improper fractions. Multiply the numbers of the numerators and denominators together:

\(\frac{27}{8}\)·\(\frac{13}{3}\)

\(\frac{351}{24}\)

3) Simplify the fraction. Find a number that both 351 and 24 can divide evenly into - in this case, it is 3. Divide both 351 and 24 by 3 and receive the final answer:

\(\frac{351}{24}\)÷\(\frac{3}{3}\)

\(\frac{117}{8}\)

If you need it in mixed number form, find what times 8 can get closest to the number 117 without going over it. In this case, it is 14, since 14 times 8 is 112, and 112 is the biggest number closest to 117 that is still under it. 14 would be the whole number at the front Include the remainder, or how far away 112 is from 117, which is 5, at the numerator. The denominator would stay the same. Therefore, the answer in mixed number form is \(14\frac{5}{8}\).

To determine the number of WINS by which one occurrence of the maximum value can be reduced without changing the value at the 55th percentile.

We need to find the maximum value in the dataset and evaluate its impact on the percentile.

Let's assume the maximum value for WINS is X. To maintain the value at the 55th percentile (23.5), we need to find the threshold value below which the dataset will not be affected by reducing the maximum value.

We can start by arranging the data in ascending order and finding the value at the 55th percentile. Since we have 44 seasons, the 55th percentile would be approximately at the (55/100) * 44 = 24.2nd value.

Now, we compare the value at the 24th position and the value at the 25th position in the dataset. If both of these values are below 23.5, reducing the maximum value by any amount will not change the value at the 55th percentile.

For example, if the value at the 24th position is 23 and the value at the 25th position is 24, reducing the maximum value by any amount will still keep the 55th percentile at 23.5.

However, if either the value at the 24th position or the value at the 25th position (or both) is 23.5 or higher, reducing the maximum value will impact the 55th percentile.

Therefore, to accurately determine the number of WINS by which one occurrence of the maximum value can be reduced without changing the value at the 55th percentile, we need to know the specific values at the 24th and 25th positions in the dataset.

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1441440 ternary strings (digits 0,1, or 2) are there with exactly seven 0's, five 1's, and four 2's.

What is permutation?

A permutation of a set in mathematics is a loosely defined organization of its members into a sequence or linear order, or, if the set is already ordered, a rearranging of its elements. The term "permutation" also refers to the act or process of shifting the linear order of a set.

Here, we have

We have to find the ternary strings (digits 0,1, or 2) that are there with exactly seven 0's, five 1's and four 2's.

There are a total of 7 + 5 + 4 = 16 characters in the string.

The total number of ways to permute seven 0's, five 1's and four 2's is :

= 16!/(7! 5!4!)

= 1441440

Hence,  1441440 ternary strings (digits 0,1, or 2) are there with exactly seven 0's, five 1's and four 2's.

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The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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Answer:

Correct Statements:

1. The graph of A(t) decreases exponentially

4. The graph of A(t) has a y-intercept at (0,1200)

5. Every year, the cell phone loses 8% of its value.

Step-by-step explanation:

Exponential functions are in the form \(y=a(b)^x\), meaning this is a exponential function, so it cannot be linear

a on the exponential function form represents the initial value, otherwise known as the y-intercept, and 1200 is a for the given equation

To find the multiplier, you do 1 -r, and since its 0.92, we do 1-0.92 = 0.08 value per year.

Answer:

the best possiable prediction is 2/6

Step-by-step explanation:

The total actual area of the given logo is:  16.283 ft²

The given composite figure can be divided into a semi circle and a rectangle.

Formula for area of rectangle = length * width

Formula for area of semi circle = ¹/₂πr²

We are told that 1 inch on the printed copy actually represents 8 ft.

Thus:

¹/₂ inch = ¹/₂ * 8 = 4 ft

5/16 in = 5/16 * 8 = 2.5 ft

Thus:

Area of rectangle = 2.5 * 4 = 10 ft²

Area of semi circle = ¹/₂π * 2² = 6.283 ft²

The total actual area = 10 + 6.283 = 16.283 ft²

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Solid, is there an actual question?

Answer:

W) 1/18=10/180

N) 2/15=4/30

F) 7/12= 84/144

S) 9/25= 36/100

D) 7/20=35/100

T) 9/10=36/40

M) 19/20=95/100

Step-by-step explanation:

W) is 10/180 as you need to multiply the numerator as the denominator.

N) is 4/30 as you need to multiply the numerator as the denominator.

F) is 84/144 as you need to multiply the numerator as the denominator.

S) is 36/100 as you need to multiply the numerator as the denominator.

D) is 35/100 as you need to multiply the numerator as the denominator.

T) is 36/40  as you need to multiply the denominator as the numerator.

M) is 95/100 as you need to multiply the numerator as the denominator.

Step-by-step explanation:

When w = -2 and p = -6,

7w + 9p = 7(-2) + 9(-6) = (-14) + (-54) = -68.

Answer:

-68

Step-by-step explanation:

7(-2)+9(-6)

-14+-54

-68

Janet's choice to use Door Dash instead of Uber Eats can be explained using two concepts from Predictably irrational: the power of free offers and the influence of perceived value.

In Predictably Irrational, one example discussed is the "Zero Price Effect." People tend to be more attracted to offers that are free, even if the overall value may be similar or slightly inferior. Janet's decision to choose Door Dash can be attributed to the free delivery promo, which creates a perception of added value and savings, even if the food prices themselves are comparable.

Another concept is "The Decoy Effect." When presented with multiple options, a decoy is strategically introduced to influence decision-making. In this case, Door Dash's free delivery offer acts as a decoy, making the alternative (Uber Eats) seem less appealing in comparison.

Janet's choice is influenced by the allure of a free offer, creating a positive perception of Door Dash's value. The power of free and the decoy effect play a role in swaying her decision.

Janet's choice of Door Dash over Uber Eats exemplifies the impact of free offers and perceived value on decision-making. The free delivery promo provided by Door Dash creates a sense of added value and savings, making it a more appealing option. The presence of a decoy effect diminishes the attractiveness of Uber Eats.

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Both (4, 1) and (5, 2) is the solution to the given equation. Therefore, option C is the correct answer.

The given equation is y+1=3(x-4).

A) The given coordinate point is (4, -1).

Substitute (x, y)=(4, -1) in y+1=3(x-4), we get

-1+1=3(4-4)

0=0

So, (4, -1) is the solution to the given equation.

B) The given coordinate point is (5, 2).

Substitute (x, y)=(5, 2) in y+1=3(x-4), we get

2+1=3(5-4)

3=3

So, (5, 2) is the solution to the given equation.

C) Here, both (4, 1) and (5, 2) is the solution to the given equation.

Therefore, option C is the correct answer.

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