-m + 5n = -2, for n
​

Answer:

i think the 25 ounce bottle

Step-by-step explanation:

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units

For two triangles to be similar, the corresponding sides of the triangles must be in proportion

Having said  that

The side AC corresponds to the side AC in the other triangle

The length BC is calculated as

BC/9 = 25/15

Express as products

So, we have

BC = 9 * 25/15

Evaluate the products

BC = 15

Hence, the length of BC is 15 units

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Answer:

The answers are x=-37 and x=3

Step-by-step explanation:

The solution set for the equation (7x+3)(2x-6)=0 is {−37,3}. To solve for x, one can use the distributive property to expand the equation and then solve for x. For example, 7x² - 3x - 12x - 18 = 0 can be rearranged to 7x² - 15x - 18 = 0 and then solved using the quadratic formula.

The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

From the question, we have the following parametes that can be used in our computation:

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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Answer:

Not a complete question... Sorry

Answer:

Step-by-step explanation:

its 186

Answer:

\(P(t) = 29816591(1.025)^{t-5}\)

Step-by-step explanation:

Equation:

The equation for the population of California, in t years after 1990, is given by:

\(P(t) = 29816591(1.025)^t\)

In which 29816591 is the initial population, that is, the population in 1990.

From 1995:

First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.

So

\(P(5) = 29816591(1.025)^5 = 33734736\)

So

Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So

\(P(t) = 29816591(1.025)^{t-5}\)

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

Step 1:

Choose either Substitution or elimination method to solve system of equation.

Step 2:

If you choose substitution,

firstly, name the equation

3x + y = 4 .............................1

2x + y = 0 ..............................2

secondly, choose one of the equation and make one of the varable subject of the relation

2x + y = 0 .......................1

y = -2x

Step3

substitute y in equation 2

3x + (-2x) = 4

3x - 2x = 4

x = 4

Step 4:

find y from y = -2x

y = -2(4)

y = -8

( 4 ), ( -8 )

Answer:

x = 4

y = - 8

Step-by-step explanation:

3x + y = 4

2x + y = 0

(3x + y ) (-1 ) = 4 ( - 1 )

2x + y = 0

- ( 3x + y ) = - 4

2x + y = 0

The number of times the students on your floor order pizza in a week, population.

A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.

A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.

A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.

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The complete question is:

Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.

Answer

2x73

Step-by-step explanation:

Answer:

(11.5, 7.5)

Step-by-step explanation:

17 + 6 / 2 = 11.5

2 + 13 / 2 = 7.5

Answer:

I would say C

Step-by-step explanation:

In this experiment the subjects do not know whether they are being given the real treatment or a placebo. Also the testers do not know that treatment for arthritis has been given. The subjects being given the treatment "show marked improvement" according to the tests. Therefore this is a valid double blind experiment, making C the correct choice.

Answer:

.05 %

Step-by-step explanation:

Hi! I believe your answer is 4.7%. Simply move the decimal two places to the right. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

Answer: C

Step-by-step explanation:

Since she can speak more than 7, you can mentally get rid of A and B because the circles on the number line show less than or equal to and more than or equal to, and we already know she can speak more than 7 languages.

So between the less than or greater than symbol you need to pick the line that has the arrow pointing in the direction of the greater than symbol because she can speak more than 7 languages

The answer would be C because greater than symbols point in the same direction of the line >  

Jupiter's model diameter will be 280 mm, if the real diameter is 142,984km?.

Proportion can be referred to as a part, share, or number considered in comparative relation to a whole. Proportion is defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

real diameter : model diameter

12,756 : 25

142,984 : x

where x is the model diameter of jupiter

x = (25 x 142,984) / 12,756

x = 280 mm

Therefore, the model diameter of Jupiter is 280mm

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El valor requerido de la función es 660.

Qué es una función?

En matemáticas, una función es una relación entre dos conjuntos, donde cada elemento del primer conjunto se asocia a un único elemento del segundo conjunto. La función se representa mediante una fórmula o una regla que indica cómo se calcula el valor de salida a partir del valor de entrada. Esta fórmula se conoce como la ley de correspondencia de la función.

Las funciones son fundamentales en las matemáticas porque nos permiten modelar y analizar una gran variedad de fenómenos. Por ejemplo, podemos usar funciones para describir la relación entre el tiempo y la distancia recorrida por un objeto en movimiento, o para representar la relación entre la temperatura y la presión de un gas. Las funciones también son útiles en la resolución de problemas de la vida real, como la optimización de recursos o la maximización de beneficios.

Una de las propiedades más importantes de las funciones es su dominio y rango. El dominio es el conjunto de todos los valores de entrada que se pueden utilizar en la función, mientras que el rango es el conjunto de todos los valores de salida posibles. Es importante tener en cuenta que no todos los valores de entrada pueden tener un valor de salida válido, lo que significa que la función puede tener restricciones en su dominio.

Para c = 4, podemos reemplazar el valor de c en la expresión de Z(c) y obtener:

Z(4) = 2(4)² - 3(4) + 10(4)³

= 2(16) - 12 + 10(64)

= 32 - 12 + 640

= 660

Por lo tanto, cuando c = 4, Z(c) = 660.

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The total area of the three rectangles is  \($3 \times 2 \times 28 = \boxed{\textbf{(C) }(28)(2)}$\)

To find the approximation of the definite integral using inscribed rectangles, we need to find the area of each rectangle and then add them up. The width of each rectangle is the width of the interval of integration divided by the number of rectangles, which in this case is   \($\frac{6}{3}=2$\)

The height of each rectangle is the value of the function at the midpoint of the interval on which the rectangle is inscribed. Since the function is \($f(x)=x^2+2$\), the height of each rectangle is \($(2+4+6)^2+2=28$\). Therefore, the total area of the three rectangles is \($3 \times 2 \times 28 = \boxed{\textbf{(C) }(28)(2)}$\)

A definite integral is a mathematical operation that evaluates a function over a given interval. It is used to calculate the area under a curve or a definite integral of a function. It is defined as the limit of a sum of areas of simple figures such as rectangles and triangles. It can also be used to calculate the average value of a function over a given interval.

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The correct answer is Option 1.

Answer:

(-3,-2)

Step-by-step explanation:

Equations are

Solve both

On solving

Graph is also attached if you need another way

Answer:

(-3, -2)

Step-by-step explanation:

When the two lines intersect, f(x) = h(x)

2x + 4 = -1x - 5

Rearranging like terms together

3x = -9

x = -3

Substituting back into h(x) for x = -3

y = h(3) = 2(-3) + 4 = -2

So the point is (-3, -2)

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

660000

Step-by-step explanation: