Which equation represents the line that has a slope of 1/3 and a x-intercept of 5?

The value of csc theta is [tex]\frac{3. 61}{2}[/tex]

It is important to note that the ratio for cot is given as;

Cot theta = adjacent/opposite

cosec theta = hypotenuse/opposite

If cot theta = 3/2, then

Adjacent = 3

Opposite = 2

Using Pythagoras theorem, we have

Hypotenuse square = opposite + adjacent square

[tex]H = \sqrt{2^2 + 3^2}[/tex]

[tex]H = \sqrt{4 + 9}[/tex]

[tex]H = 3. 61[/tex]

Cosec theta = [tex]\frac{3. 61}{2}[/tex]

Thus, the value of csc theta is [tex]\frac{3. 61}{2}[/tex]

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Answer:

3.16/2

Step-by-step explanation:

Have a great day

Using an exponential function, the median household income after 5 years was of $42,578.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

For this problem, the parameters are:

A(0) = 42050, t = 5, r = 0.0025[/tex]

Hence:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 42050(1.0025)^t[/tex]

[tex]A(5) = 42050(1.0025)^5 = 42578[/tex]

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The best predicted weight of a person that is 156 cm is 285.4kg

y= 106+1.15

When the adult male is 156 cm tall the weight of this person would be calculated as:

y= 106+1.15*156

y = 106 + 179.4

y = 285.4

Hence we can arrive at the conclusion that the best predicted weight of a person that is 156 cm is 285.4kg

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The percent of students that preferred alternative ​music is 23.7%

The music type and the preference are given as:

Music Preferences

Rap            945

Alternative 462

Rock and Roll 275

Country         168

Jazz              15

Other          85

From the above table, we have:

Alternative = 462

Total = 945 + 462 + 275 + 168 + 15 + 85

Total = 1950

The percentage is then calculated as:

Percentage = Alternative/Total * 100%

This gives

Percentage = 462/1950 * 100%

Evaluate

Percentage = 23.7%

Hence, the percent of students that preferred alternative ​music is 23.7%

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Answer:

c. [-1, infinity)

Step-by-step explanation:

the domain the interval or set of valid x values (while the range is the same for the valid y values).

what is the smallest value of x we see for the graph ?

for x values we need to look left and right.

and the more left the value, the smaller it is.

so, in other words, what is the left-most x value e can find ?

x = -1

that is the "starting point" of the function. there is no functional value for any smaller x.

and then clearly, the function goes on and on to the right without any boundary in sight. so, it keeps going to the right in all eternity, that means it goes to infinity.

therefore the answer.

keep in mind that "infinity" is not a number, only a concept. so, when writing "infinity" at an interval end, it is not included (and we use a round bracket).

A. The greatest number of friends who can receive a necklace made from a combination of 72 blue and 42 red beads is 6.

B. Each friend will receive a necklace with 12 blue beads and 7 red beads.

The solution to this problem can be determined by considering the highest common factors of 72 and 42.

The common factors of 72 and 42 are 2 and 3.

The factors of 72 are 2, 3, and 12.

The factors of 42 are 2, 3, and 7.

2 x 3 = 6

When 6 divides 72 = 12

When 6 divides 42 = 7

Number of blue beads = 72

Number of red beads = 42

The highest number that can divide 72 and 42 without a remainder is 6.

Thus, each friend's necklace will contain 19 beads (12 blue beads and 7 red beads).

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The spending variance for salaries and wages cost in February would be closest to; $282 F.

The spending variance as the name implies is the difference between the budgeted cost and actual cost paid for an item. It therefore follows from the definition above that for the month of February;

Spending variance = $7,640 - (2850 + (16×317))

Spending variance = $7,640 - (7922)

Spending variance is therefore; $282 F.

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The greatest common factor from the given information is 12h³.

The greatest common factor (GCF) of a given set of whole numbers is the largest value that can be divided by the set of numbers.

From the information given, we are to find the GCF of:

12h³ = (1 , 2, 3, 4, 6 , 12 )h³

36h³ = (1, 2, 3, 4, 6, 9, 12, 18, 36)h³

12h⁶ = (1, 2, 3, 4, 6, 12)h³ * h³

Therefore, we can conclude that the greatest common factor is 12h³.

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The set of all months that contains less than 31 days is; {February, April, June, September, November}.

It follows from the task content that the set whose elements are to be determined is characterized by containing less than 31 days.

On this note, it follows that the elements of the set are; February (28/29 days), April (30 days), September (30 days), June (30 days) and November (30 days).

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Answer: 5

Step-by-step explanation: 2 + 5 = 7,  7 + 5 = 12,  12 + 5 = 17,  17 + 5 = 22

Answer:

15

Step-by-step explanation:

cost of 20 mobile set=300

cost of 1 mobile set

=cost of mobile set/number of mobile set

=300/20

=15

The cost of each mobile set is ₹1,50,000.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Given that, a shopkeeper sold 20 mobile sets of same brand for ₹3,000,000.

The selling price of each mobile set​ = Total cost of mobile sets/Number of mobile sets

= 3,000,000/20

= ₹1,50,000

Therefore, the cost of each mobile set is ₹1,50,000.

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The measure of the missing length from the given diagram is 25

According to the theorem, the altitude on the hypotenuse is equal to the geometric mean of line segments formed by altitude on the hypotenuse.

According to the given diagram, the expression below will be used to determine the value of x

x/60 = 60/144

Cross multiply yo have:

144x = 60 * 60

Simplify the result to have

144x = 3600

Divide both sides by 144

144x/144 = 3600/144
x = 3600/144

x = 25

Hence the measure of the missing length from the given diagram is 25

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308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.

Since a dairy needs 385 gallons of milk containing 6% butterfat, to determine how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired 385 gallons, the following calculation must be performed:

Therefore, 308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.

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The answer is no. b.

Step-by-step explanation:

The answer is no b. u just take common

Using an exponential function, it is found that:

a) The doubling time of the salary is of approximately 20 years.

b) The salary will be of $160,000.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

The growth rate for this problem is:

r = 0.035.

The doubling time is t for which A(t) = 2A(0), hence:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]2A(0) = A(0)(1.035)^t[/tex]

[tex](1.035)^t = 2[/tex]

[tex]\log{(1.035)^t} = \log{2}[/tex]

[tex]t\log{1.035} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.035}}[/tex]

t = 20 years.

You retire in 40 years, which is 2 doubling periods, hence the salary will be of:

40000 x 2 x 2 = $160,000.

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The price of the chairs and the quantity that maximizes profit is to sell 45 chairs at $75 each.

Given that a furniture store can sell 40 chairs per week at a price of $80 each, and the manager estimates that for each and $5 price reduction, she can sell five more chairs per week, and the chairs cost the store $30 each, to determine the price of the chairs and the quantity that maximize profit, the following calculation must be made:

Therefore, the price of the chairs and the quantity that maximizes profit is to sell 45 chairs at $75 each.

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[tex]y=\frac{3}{5}x+3[/tex]

Slope-intercept form is the most common form of a linear function.

Formula

The formula for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this question, we must find both m and b by looking at a graph.

Slope

The slope is the change in y over the change in x. So, one way to find the slope is to identify 2 points on the graph and count the difference between them.

Another way to find the slope is to use the formula [tex]\displaystyle\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]. You can plug in the values from both points and solve to get the same answer.

Y-Intercept

The y-intercept is easy to find from a graph. The y-intercept is wherever the line intersects with the y-axis (the vertical axis). In this case, the line intersects at y-value 3. So, 3 is the b-value in the equation.

Final Equation

Using the information above, we can say that the equation of the line in slop-intercept form is [tex]y=\frac{3}{5}x+3[/tex].

The simplification of the equation above in words is = Twelve minus thirteen X.

In mathematics, coefficients are those numbers that multiplies a variable. For example in 13x, the coefficient is 13 which multiplies a variable known as X.

The equation given is,

10 - 13x + 2

Arrange the digits without a coefficient together.

That is ,

10+2 -13x

12 - 13x

Therefore the simplification of the given equation in words is Twelve minus thirteen X.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

3 answer.....

......dkdkdk

The confidence interval for the population proportion, p is (0.766, 0.833)

The formula for calculating the confidence interval for proportion is expressed as:

CI = p±√pq/n

Given the following

p = 112/140 = 0.8

q = 1-p = 0.2

Substitute

CI = 0.8±√(0.8)(0.2)/140

CI = 0.8±0.0338

CI = (0.766, 0.833)

Hence the confidence interval for the population proportion, p is (0.766, 0.833)

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Answer:

d.) $112.50

Step-by-step explanation:

Area of floor:

15 ft × 10 ft = 150 ft²

150 ft² is how many times 12 ft²?

It is 150 ft² / 12 ft² = 12.5.

150 ft² is 12.5 times 12 ft².

12 ft² cost $9.00, so 12.5 times 12 ft² costs 12.5 times $9.00.

12.5 × $9.00 = $112.5

Answer: d.) $112.50

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What does \boxed{median} mean in math?}}[/tex]

[tex]\boxed{\text{Median}}\rightarrow\textsf{ is the number in the middle.}[/tex]

[tex]\huge\textbf{How do you find the \boxed{median}?}[/tex]

[tex]\text{You can found it by putting the numbers from \bf least to greatest.}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\text{Find the median for the scores 91, 69, 71, 82, 71, 95, 87, 74, 71, 89, 89, 95,}\\\text{72, 75}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\text{91, 69, 71, 82, 71, 95, 87, 74, 71, 89, 89, 95, 72, 75}[/tex]

[tex]\huge\textbf{Rearrange the problems to:}[/tex]

[tex]\text{69,71,71,71,72,74,75,82,87, 89,89,91,95,95}[/tex]

[tex]\huge\textbf{The expression:}[/tex]

[tex]\mathsf{\dfrac{75 + 82}{2} = median}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{\dfrac{75 + 82}{2} = median}[/tex]

[tex]\mathsf{\dfrac{157}{2} = median}[/tex]

[tex]\mathsf{257\div2 = median}[/tex]

[tex]\mathsf{78.5 = median}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{78.5}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

From the table, we can deduce that The y-values increase by a factor of 7 for each x increase of 1 and is denoted as option C.

This is defined as a number which divides another without leaving a remainder afterwards.

From the table, we can deduce that the y-values are divisible by 7 thereby  making it a factor of it and confirming that it increase by a factor of 7 for each x increase of 1.

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Karina obtuvo una nota final de 84 de 100 puntos en su curso de nivelación matemática.

Antes de comenzar la resolución de este problema, asumimos que la base de calificación del curso de nivelación matemática es 100 y que la nota mínima para pasar es 70. Por otra parte, sabemos que la nota obtenida por Karina es divisible por 7 y que es el producto de aquel número primo y un polinomio formado por una relación de tres números primos, la cual es simplificada a continuación:

p (a, b, c) = a · (a + b - c) + b· (a + b - c) + c · (a + b - c)

p (a, b, c) = a² + a · b - a · c + a · b + b² - b · c + a · c - b · c - c²

p (a, b, c) = a² + 2 · a · b + b² - c²

p (a, b, c) = (a + b)² - c²

p (a, b, c) = (a + b + c) · (a + b - c)

Si asumimos que Karina obtuvo 84, entonces se tiene que 84 = 7 × 12 y 12 = 2 × 6. Tanto el dos como el seis son múltiplos de dos, entonces asumimos a = b = c y encontramos que:

n (2, 2, 2) = 7 · (2 + 2 + 2) · (2 + 2 - 2)

n (2, 2, 2) = 7 · 6 · 2

n (2, 2, 2) = 84

En síntesis, Karina obtuvo una nota final de 84 de 100 puntos en su curso de nivelación matemática.

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Answer:

B.) (1, -5)

Given, equation:

[tex]\sf \dfrac{(x-1)^2}{25} -\dfrac{(y+5)^2}{49} =1[/tex]

Comparing it with standard formula of hyperbola:

[tex]\sf \dfrac{(x-h)^2}{a^2} -\dfrac{(y-k)^2}{b^2} =1[/tex]

where (h, k) is center

The given equation in standard form:

[tex]\sf \dfrac{(x-1)^2}{5^2} -\dfrac{(y-(-5))^2}{7^2} =1[/tex]

Determined:

(h, k) = (1, -5)

a = 5, b = 7

So, here (1, -5) is the center of the given hyperbola.

(a) The truth about Karen's sales is that Karen had sales lower in value than about 74% of the salespeople. So, the correct option is D.

(b) The truth about Karen's and Brian's sales is that both Karen and Brian had lower sales in value than the median. So, the correct option is D.

Given that department stores rank their 1,000,000 salespeople by the monetary value of their sales. Karen's sales are at the 26th percentile and brian's sales are at the 33rd percentile.

A percentile is a measure used in statistics that indicates the value below which a certain percentage of observations in a group of observations falls.

(a)  Karen had sales lower in value than about 74% of the salespeople because the 26% percentile represents his relative position among all the employees in terms of sales.

(b) Both Karen and Brian had sales lower in value than the median because the Median represents the 50th percentile. Since Karen's sales are at the 26th percentile and Brian's sales are at the 33rd percentile it implies their sales are less than the median value.

Hence, the truth about Karen's sales is  Karen had sales lower in value than about 74% of the salespeople, and true about Karen's and Brian's sales is both Karen and Brian had lower sales in value than the median.

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[tex]\large\displaystyle\text{$\begin{gathered}\sf 5(3+6)x^{2} -6x^{2} \end{gathered}$}[/tex]

Add 3 and 6 to get 9.

Multiply 5 and 9 to get 45.

Combine 45x² and −6x² to get 39x².

The order in which he can wear the socks with repetition in 7 days is 823, 543 orders

The formula for calculating permutation with repetition is given as;

Permutation = [tex]n^r[/tex]

Where n = 7

r = 7

Substitute into the formula

Permutation = [tex]7^7[/tex]

Permutation = [tex]823, 543[/tex] ways

Thus, the order in which he can wear the socks with repetition in 7 days is 823, 543 orders

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