Simplify - 42 (x^2+4x+4)

Answer:

13

Step-by-step explanation:

-x + 4 = -9

-x = -13

x = 13

Answer:

x=13

Step-by-step explanation:

subtract 4 from both sides and you get -13

the answer can't say -x=-13 because the x has to be positive

so move the negative sign to the other side which would make -13 positive.

then you have x=13 which is correct...hopefully that helps

Answer:

the quotient of 45 or o is 45/o. A quotient is the result of a division . For example 8/4=2 so, 2 is the quotient.

Answer: 2 hours 45 minutes

Step-by-step explanation: Your welcome

tStep-by-step explanation:

Answer:

A

Step-by-step explanation:

From 0 the graph goes up 1 and to the right 2 times

Rise over run

1/2

High Hopes^^

Barry-

Equation of straight line is given by

y denotes y coordinate

x denotes x coordinate

m denotes slope

c denotes intercept

ATQ,

⭆ y = mx + c

⭆ 5 = m(10) + 0

⭆ 5 = 10m

⭆ m = 5/10

⭆ m = 1/2

∴ (F) is the correct answer[tex].[/tex]

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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The equation of the line in slope-intercept form is y = 2x + 2.

The equation of the line that corresponds to the given table can be written in slope-intercept form y = mx + b where m is the slope and b is the y-intercept.

For finding the slope, we can use the formula:m = (y2 - y1) / (x2 - x1)We can choose any two points from the table to calculate the slope.

Let's take the first two points from the table (1, 4) and (3, 8)m = (y2 - y1) / (x2 - x1)m = (8 - 4) / (3 - 1)m = 4 / 2m = 2Now we have the slope which is 2.

To find the y-intercept we can substitute one of the points from the table and the slope into the equation and solve for b

y = mx + b4 = 2(1) + b4 = 2 + bb = 2Now we have the y-intercept which is 2. Therefore, the equation of the line in slope-intercept form is y = 2x + 2.

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Answer:

a) El error máximo posible es 270 centímetros cúbicos. El error relativo asociado al volumen es 0.01. El error asociado al volumen es 1 por ciento.

b) El máximo error posible del área superficial es 36 centímetros cuadrados. El máximo error posible del área superficial es 36 centímetros cuadrados. El porcentaje de error del área superficial es 0.667 por ciento.

Step-by-step explanation:

Recordemos que el volumen y el área superficial de un cubo quedan representados por las respectivas fórmulas:

[tex]V = l^{3}[/tex] (Ec. 1)

[tex]A_{s} = 6\cdot l^{2}[/tex] (Ec. 2)

Donde:

[tex]l[/tex] - Longitud de la arista, medida en centímetros.

[tex]A_{s}[/tex] - Área superficial, medida en centrímetros cuadrados.

[tex]V[/tex] - Volumen, medido en centímetros cúbicos.

a) El error máximo posible del volumen del cubo se estima por el siguiente diferencial:

[tex]\Delta V = \frac{\partial V}{\partial l}\cdot \Delta l[/tex] (Ec. 3)

Donde:

[tex]\Delta V[/tex] - Error máximo posible del volumen, medido en centímetros cúbicos.

[tex]\frac{\partial V}{\partial l}[/tex] - Primera derivada parcial del volumen con respecto a la longitud de la arista, medida en centrímetros cuadrados.

[tex]\Delta l[/tex] - Error máximo de medición, medido en centímetros.

La derivada parcial de la función de volumen es:

[tex]\frac{\partial V}{\partial l} = 3\cdot l^{2}[/tex] (Ec. 4)

Ahora expandimos (Ec. 3):

[tex]\Delta V = 3\cdot l^{2}\cdot \Delta l[/tex]

Si conocemos que [tex]l = 30\,cm[/tex] y [tex]\Delta l = 0.1\,cm[/tex], el máximo error posible del volumen es:

[tex]\Delta V = 3\cdot (30\,cm)^{2}\cdot (0.1\,cm)[/tex]

[tex]\Delta V = 270\,cm^{3}[/tex]

El error máximo posible del volumen es 270 centímetros cúbicos.

Obtenemos el error relativo al dividir el resultado anterior por el volumen, es decir:

[tex]\epsilon_{V} = \frac{\Delta V}{V}[/tex] (Ec. 5)

El volumen del cubo es: ([tex]l = 30\,cm[/tex])

[tex]V = (30\,cm)^{3}[/tex]

[tex]V = 27000\,cm^{3}[/tex]

Ahora sustituimos (Ec. 5):

[tex]\epsilon_{V} = \frac{270\,cm^{3}}{27000\,cm^{3}}[/tex]

[tex]\epsilon_{V} = 0.01[/tex]

El error relativo asociado al volumen es 0.01.

Por último, encontramos el porcentaje de error asociado al volumen:

[tex]\%\epsilon_{V} = 0.01\times 100\,\%[/tex]

[tex]\%\epsilon_{V} = 1\,\%[/tex]

El error asociado al volumen es 1 por ciento.

b) El error máximo posible del área superficial del cubo se estima por el siguiente diferencial:

[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial l}\cdot \Delta l[/tex] (Ec. 6)

Donde:

[tex]\Delta A_{s}[/tex] - Error máximo posible del área superficial, medido en centímetros cuadrados.

[tex]\frac{\partial A_{s}}{\partial l}[/tex] - Primera derivada parcial del área superficial con respecto a la longitud de la arista, medida en centrímetros.

[tex]\Delta l[/tex] - Error máximo de medición, medido en centímetros.

La derivada parcial de la función de área superficial es:

[tex]\frac{\partial A_{s}}{\partial l} = 12\cdot l[/tex] (Ec. 7)

Ahora expandimos (Ec. 6):

[tex]\Delta A_{s} = 12\cdot l\cdot \Delta l[/tex]

Si conocemos que [tex]l = 30\,cm[/tex] y [tex]\Delta l = 0.1\,cm[/tex], el máximo error posible del área superficial es:

[tex]\Delta A_{S} = 12\cdot (30\,cm)\cdot (0.1\,cm)[/tex]

[tex]\Delta A_{S} = 36\,cm^{2}[/tex]

El máximo error posible del área superficial es 36 centímetros cuadrados.

Obtenemos el error relativo al dividir el resultado anterior por el volumen, es decir:

[tex]\epsilon_{A_{S}} = \frac{\Delta A_{S}}{A_{S}}[/tex] (Ec. 8)

El área superficial del cubo es: ([tex]l = 30\,cm[/tex])

[tex]A_{S} = 6\cdot (30\,cm)^{2}[/tex]

[tex]A_{S} = 5400\,cm^{2}[/tex]

Ahora sustituimos (Ec. 8):

[tex]\epsilon_{A_{S}} = \frac{36\,cm^{2}}{5400\,cm^{2}}[/tex]

[tex]\epsilon_{A_{S}} = 6.667\times 10^{-3}[/tex]

El error relativo del área superficial es 6.667 × 10⁻³.

Por último, encontramos el porcentaje de error asociado al área superficial:

[tex]\%\epsilon_{A_{S}} = 6.667\times 10^{-3}\times 100\,\%[/tex]

[tex]\%\epsilon_{A_{S}} = 0.667\,\%[/tex]

El porcentaje de error del área superficial es 0.667 por ciento.

a) To find the number of ways a president, a vice-president, and a secretary can be chosen from the international math class, we multiply the number of choices for each position.

Number of ways = Number of choices for president * Number of choices for vice-president * Number of choices for secretary

Since each position can have a different person, we have the following choices:

- President: Any student from the class (5 African + 4 European + 8 American + 7 Asian) = 24 choices.

- Vice-President: Any student from the class except the one chosen as president (23 choices remaining).

- Secretary: Any student from the class except the ones chosen as president and vice-president (22 choices remaining).

Number of ways = 24 * 23 * 22 = 12,144

Therefore, there are 12,144 ways to choose a president, a vice-president, and a secretary from the international math class.

b) To find the probability that the president will be American, the vice-president Asian, and the secretary American, we need to calculate the probability of each event happening and multiply them together.

Probability (president = American) = Number of American students / Total number of students = 8 / 24 = 1/3

Probability (vice-president = Asian) = Number of Asian students / Remaining number of students = 7 / 23

Probability (secretary = American) = Number of American students / Remaining number of students = 8 / 22

Probability (president = American, vice-president = Asian, secretary = American) = (1/3) * (7/23) * (8/22)

c) The probability that the president, vice-president, and secretary will be American can be expressed as:

Probability (president, vice-president, and secretary = American) = (Number of American students / Total number of students) * ((Number of American students - 1) / (Total number of students - 1)) * ((Number of American students - 2) / (Total number of students - 2)) = (8/24) * (7/23) * (6/22)

Simplifying this expression further is possible, but it is left in this form for clarity.

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Answer:

D because it’s D

x+2-3=7

x-1=7

x=8

Answer:Eight 8 8 The answer is 8

Step-by-step explanation:

Answer:

b. 39

Step-by-step explanation:

x = 2 and 1/3

15(2 [tex]\frac{1}{3}[/tex] )+4

15 (7/3) + 4

[tex]\frac{15}{1} * \frac{7}{3}[/tex]+ 4

[tex]\frac{3*5}{1} *\frac{7}{3}[/tex]  cross cancel

[tex]\frac{5}{1} * \frac{7}{1}[/tex] = 35

35 + 4 = 39

Answer: 82 miles per hour

Step-by-step explanation:

246/3

82 miles per hours

Answer:

82 miles per hour

Step-by-step explanation:

246/3

Answer:-5,1

Step-by-step explanation: Find the average of the the x and the y separately

-3-7=-10 -10÷2=-5

8-6=2 2÷2=1

Answer:

40

Step-by-step explanation:

Answer:

$2500

Step-by-step explanation:

Given that:

Darcy's weekly earning = $982 plus 18% commission on food sales

Harper's weekly earning = $807 plus 25% commision

amount of food sales will result in Darcy and Harper earning the same amount for the week

Let amount of food sales = f

Darcy's earning = Harper's earning

(982 + 18%*f) = (807 + 25% * f)

(982 + 0.18f) = (807 + 0.25f)

982 + 0.18f = 807 + 0.25f

982 - 807 = 0.25f - 0.18f

175 = 0.07f

f = 175 / 0.07

f = 2500

Hence amount of food sales that will result in both Darcy and Harper earning the same amount = $2500

Answer:

number of members in 2006=190

230members on 2010

Step-by-step explanation:

2008-2006=2

20*2+150= 190 ans (1)

b)

20x+150=230

20x=230-150= 80

x= 80/20=4---ans (2)

Answer:

[tex]\huge\boxed{\text{(C), (D), and (E)}}[/tex]

Step-by-step explanation:

We can use basic angle relationships to find which statements are true.

Since we know that the horizontal line is being intersected by two vertical lines that are parallel, we know the corresponding angles are equivalent.

A can’t be true because alternate exterior angles come from the same line. 4 and 7 are from two different lines.

B can’t be true because the 50° angle and 1 and 2 are supplementary. In order for 1 and two to be complementary, the 50° angle would have to be 90°. So this isn’t true.

C must be true because angles 8 and 5 come together to form one of the parallel lines that intersects the horizontal line. Since it’s a line intersection, the two angles must be supplementary.

D must be true because we have two angles that are formed by parallel lines intersecting the same line. Since the lines are parallel, the angles on either side are equivalent. These are called corresponding angles.

E must be true because the angles are equivalent to each other. 5 and 7 are equivalent, and so are 8 and 6. Therefore, these are vertical angles.

Hope this helped!

The magnitude of the electrostatic force that acts on each sphere are: 1.6×10⁻⁹N. The electrostatic force is repulsive.

The electrostatic force is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the charges. Hence, if two charges of like signs are brought close to each other, the force between them is repulsive and if two charges of opposite signs are brought close to each other, the force between them is attractive.

Given that two very small spheres are initially neutral and separated by a distance of 0.50m. Suppose that 3.0 x 10¹³ electrons are removed from one sphere and placed on the other.A charge of - 3.0 × 10¹³ electrons is transferred from one sphere to the other. Hence, one sphere becomes negatively charged while the other one becomes positively charged. The magnitude of the charge on each sphere can be determined as follows:

We know that the elementary charge on one electron = 1.6 × 10⁻¹⁹ C. Therefore, the charge on 3.0 × 10¹³ electrons = 3.0 × 10¹³ × 1.6 × 10⁻¹⁹ C= 4.8 × 10⁻⁶ C.

The magnitude of the electrostatic force that acts on each sphere is given by Coulomb's law as:

F = k × (q1 × q2) / r²Here,k = Coulomb's constant = 9 × 10⁹ Nm²/C²q1 = charge on sphere 1 = 4.8 × 10⁻⁶ Cq2 = charge on sphere 2 = 4.8 × 10⁻⁶ Cr = separation between the spheres = 0.50 m

Substituting these values in the Coulomb's law expression, we get:

F = 9 × 10⁹ × (4.8 × 10⁻⁶)² / (0.50)²= 1.6 × 10⁻⁹ N.

Thus, the magnitude of the electrostatic force that acts on each sphere is 1.6 × 10⁻⁹ N. Since both the spheres have the same charge (one positive and the other negative), the force between them is repulsive.

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L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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Answer:

Step-by-step explanation:

The probability that a randomly chosen car will need no repairs is 72%. The probability that a car will need no more than one repair is 92%. The probability that a car will need some repairs is 28%.

To find the probability of no repairs, we subtract the sum of the probabilities of needing one, two, or three or more repairs from 1. The probability of needing one repair is 17%, so the probability of no repairs is 1 - 0.17 = 0.83. However, we also need to consider the probabilities of needing two repairs (7%) and three or more repairs (4%). So, the probability of no repairs is adjusted by subtracting these probabilities as well. Thus, the final probability of no repairs is 1 - (0.17 + 0.07 + 0.04) = 0.72, or 72%.

To find the probability of no more than one repair, we need to sum the probabilities of needing no repairs and needing one repair. As mentioned earlier, the probability of no repairs is 0.72. The probability of needing one repair is 0.17. Therefore, the probability of no more than one repair is 0.72 + 0.17 = 0.89, or 89%.

Finally, to find the probability of some repairs, we subtract the probability of no repairs from 1. We already determined that the probability of no repairs is 0.72. Therefore, the probability of some repairs is 1 - 0.72 = 0.28, or 28%.

In summary, the probability that a car chosen at random will need no repairs is 72%. The probability of no more than one repair is 89%, and the probability of some repairs is 28%.

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Median length of time required to review an application = (45 + 100)/2= 72.50 Hence, the correct option is A, 72.50

Given times (in minutes) that several underwriters took to review applications for similar insurance coverage are 100, 110, 42, and 45 and we need to find the median length of time required to review an application.What is the median?The median is the middle value when a data set is ordered from least to greatest.To find the median of a data set, the first step is to write the data set in order from least to greatest. In the above given dataset,Let's first order these numbers from least to greatest;42, 45, 100, 110 Now we can see the median will be between 45 and 100, so we just need to find the mean of these two numbers. the correct option is A

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Answer:  A

Step-by-step explanation: I think it's point A.

x=  

44

------                          <-------- fraction

201                  

​  =4.568

Step-by-step explanation:

Answer:

k = -8

Step-by-step explanation:

−3 + 3k = −27

⇔ -3 + 3k +3 = -27 +3

⇔ 3k = -24

⇔ k = -8

Answer:

Step-by-step explanation:

6) −3 + 3k = −27

k= -10

Answer:

12

Step-by-step explanation:

6y - 3z

6(4) - 3(4)

24 - 12

12

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