Apply the product rules to determine the sign of each expression

Answer: $678.83

Step-by-step explanation:

A = P(1 + r/n)nt

A = 600.00(1 + 0.0309/12)(12)(4)

A = 600.00(1 + 0.002575)(48)

A = $678.83

Answer:

B 22;2 c 55:5 E 110:10

Step-by-step explanation:

multiplying is key  

Answer:

B,C,E

Step-by-step explanation:

divide each of them and if the result is equal to 11 so it is equivalent to 11:1

The coordinate of point B is (√3, 1 ).

The coordinate of point C is (3√3/2,  3/2).

The coordinate of points of B and C is calculated by applying the following formula as follows;

The given coordinate of point A;

A = ( √3/2, 1/2)

Fromm the given coordinate of point A, we can see that;

The coordinate of point B is calculated as;

point B; x-axis = (√3/2 x 2) = √3

point B; y axis = 1

B = (√3, 1 )

The coordinate of point C is calculated as;

point C; x-axis = (√3/2 x 3) = 3√3/2

point C; y axis = 3/2

C = (3√3/2,  3/2)

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Answer:

2!

Step-by-step explanation:

None of the solutions are appropriate since the result of the equation z + (z+6) will be equal to 2z + 6.

A mathematical expression is the result of combining a number of mathematical symbols with an arithmetic operator, a variable, and a constraint.

In a different sense, expression is highly helpful in identifying the root or end value of a constraint.

for instance, 3x + 5y

The expression restriction is denoted by the symbols = or, >.

Given the phrase,

z + (z+6)

opening the bracket

z + z + 6

⇒ 2z + 6

Hence

"2z + 6 will be the value of the equation z + (z+6)."

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Answer:

She decides to use the same type of paper for each airplane

Step-by-step explanation:

Answer:

b just did it

Step-by-step explanation:

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

1/1 or 1

Step-by-step explanation:

1. Find two points from the graph

2. Set them in the slope formula (\(\frac{y^2- y^1}{x^2 - x^1}\))

3. Insert the coordinates into this formula

Points: (0,1) and (1, 2)

2 -1 = 1

1 - 0 = 1

1/1 = 1

Answer:

51.7 / 4 = 12.925

Step-by-step explanation:

Therefore , the solution of the given problem of function comes out to be  (g - f)(-1) = 29.

The math lesson covers an extensive variety of subjects, including geometry, integers, one's divisions, construction, and both real and imagined geographic places. A work covers the connections between various variable that all work together to produce the same result. A utility is made up of a variety of distinctive components that cooperate to create distinct results for each input.

Here,

We must first evaluate g(-1) and f(-1) before subtracting the results to obtain (g - f)(-1).

We possess

=> g(x) = 5x + 18

=>  g(-1) = 5(-1) + 18 = 13

=>  f(x) = x² - 17

=>  f(-1) = (-1)² - 17 = -16

Therefore:

=>  (g - f)(-1) = g(-1) - f(-1) = 13 - (-16) = 29

So, (g - f)(-1) = 29.

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Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:Add answer+5 pts. is there a picture to go with it. Log in to add comment.

Step-by-step explanation:

The equation of the regression line is given as ŷ = -0.5755X + 4.743

First we have to find the logarithm of the y variables.

Logarithms of y-values:

log 4101 = 3.613

log 1029 = 3.012

log 261 = 2.417

log 69 = 1.839

log 21 = 1.322

We have to plot the ordered pairs to be in order of the table using the log y parameters.

Using a regression analysis calculator online, the equation of the regression line is ŷ = -0.5755X + 4.743.

The graph and the online calculator is contained in the image attached.

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Answer:

Yes

Step-by-step explanation:

The Angles are the exact same.

Hope I helped! Please leave a review or rating!  

\(101c - 5c + 4c = 100c \\ \\ 12q - 4 + 10q - 4q + 9 \\ 12q + 10q - 4q - 4 + 9 \\ 18q + 5 \\ \\ 21k - 20k + 3k = 4k \\ \\ 181x + 91x - 23x = 249x\)

Answer:

one triangle

Step-by-step explanation:

m∠C=63∘,b=9,c=12

only 1 triangle is possible

Law of Sines

The Law of Sines states that when we divide the length of one side of a triangle by the sine of the opposite angle we obtain the same ratio as when we divide the length of another side of the triangle with the sine of the angle

Answer:

7/8x ≥ 14

Step-by-step explanation:

(sum means addition in case you forgot)

You would start by writing 7/8x + 20 ≥ 34

You would then subtract 20 from both sides to isolate the variable x.

You would then have 7/8x ≥  14

Answer:

84

Step-by-step explanation:

180 - 58 - 38 = 84

because all the angles of a triangle add up to 180

Answer: 84

Step-by-step explanation:

A triangles total angles are 180 so we just have to subtract 58+38 from 180

(f o g) (x) means put the whole function, g(x), into x of f(x).

Let's do it:

The graph of this function looks like:

The domain is the set of x values for which the graph of the function is defined for.

Here, you see x = -3 is not included, otherwise the graph is defined for all other values

So the domain would be:

Domain = { x not equal 0 }

9514 1404 393

Answer:

  ║w║ = 6

Step-by-step explanation:

(c) The magnitude of w is computed the same way the magnitudes of the other vectors are computed. It is the root of the sum of the squares of the components.

  ║w║= ║<-6, 0>║ = √((-6)² +0²) = √36

  ║w║= 6

Answer:

(1, -4) & (4,-7)

Step-by-step explanation:

If both the parabola and the line intersect.

\(answer \\ = 5 \sqrt{3} \\ please \: see \: the \: attached \: picture \: for \: \: full \: solution \\ hope \: it \: helps\)

Answer:

\(5 \sqrt{3} \)

First answer is correct

Step-by-step explanation:

\( \frac{5}{x} = \cos(60) \\ \frac{5}{x} = \frac{1}{2} \\ x = 10 \\ \frac{y}{x} = \sin(60 ) \\ \frac{y}{10} = \frac{ \sqrt{3} }{2} \\ 2y = 10 \sqrt{3} \\ y = \frac{10 \sqrt{3} }{2} \\ y = 5 \sqrt{3} \)

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

inflationary expenditure gap of $500

Step-by-step explanation:

At AE2 there is an inflationary expenditure gap of $500 (assuming full-employment output is $2000). The fiscal authority could increase taxes or decrease expenditures, which will shift the aggregate expenditures schedule down to AE0.

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According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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