given \cot a=\frac{11}{60}cota= 60 11 and that angle aa is in quadrant i, find the exact value of \cos acosa in simplest radical form using a rational denominator.

The value of N when t=4 is: N = 300 + 450 = 750.

To evaluate the solution at the specified value of the independent variable, we need to find the relationship between N and t. Given the information, we have two points: (0, 150) and (1, 300).

Step 1: Calculate the slope (m) between the two points.
m = (N2 - N1) / (t2 - t1) = (300 - 150) / (1 - 0) = 150

Step 2: Use one of the points (e.g., (0, 150)) and the slope to find the equation N = mt + b.
150 = 150 * 0 + b
b = 150

Step 3: Write the equation with the slope and intercept.
N = 150t + 150

Step 4: Evaluate the value of N when the specified value of the independent variable t = 4.
N = 150 * 4 + 150
N = 600 + 150
N = 750

The value of N when t = 4 is 750.

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Therefore, the truth value of Proposition 2A is False.

To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:

A = True

B = True

X = False

Y = False

Now let's evaluate the truth value of each component of the proposition:

(X ⊃ A) • (B ⊃ ∼ Y):

(False ⊃ True) • (True ⊃ ∼ False)

(True ⊃ True) • (True ⊃ True)

True • True

True

(B ∨ Y) • (A ⊃ X):

(True ∨ False) • (True ⊃ False)

True • False

False

[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:

True ⊃ False

False

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Answer:

10.630146

Step-by-step explanation:

Answer:

23 años

Step-by-step explanation:

Para resolver la situación, consideremos que x es la edad de la persona. Sabemos que dentro de seis años esta tendrá el doble de la edad que tenía hace cuatro años. La edad dentro de 6 años se puede expresar como x+6 y esto será igual al doble de la edad que tenía hace cuatro años, lo que se puede expresar como 2(x-4). De acuerdo a esto:

x+6=2(x-4)

x+6=2x-8

6+8=2x-x

x=14

Ahora que sabemos que la edad de la persona es 14 años, le sumamos 9 y esto da como resultado 23 y esta es la edad que la persona tendrá en 9 años.

Answer:

let m = the cost of 1 month game play(20 + 3m) + (20 + 2m) = 115by solving we findm = $15

Step-by-step explanation:

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer: the answer is C

Step-by-step explanation:

y = 4x

8 = 4 x 2

The probability that the sample proportion of Republicans will differ from the population proportion by greater than 5% is 100%

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

It is given that 58% of voters are Republican. The sample is 536 voters.

0.58×536 = 310.88 can be rounded off to 311.

536 - 311 = 225 are not republicans

311-225 = 86 is the difference

\(\frac{86}{536}\)×100 = 16.044%

Hence, the probability is 100%.

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Answer:

Option A is correct

Step-by-step explanation:

Please Mark me brainlist

Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

The standard deviation of the total sales per day for the shoe store is approximately $1743.28.

To find the standard deviation of the total sales per day for the shoe store, we need to first find the mean and variance of the total sales.

The number of customers visiting the store follows a Poisson distribution with a rate of 70 per day. Let X be the number of customers per day, then X ~ Poisson(70).

The proportion of customers that make a purchase is 45%. Let Y be the number of customers that make a purchase, then Y ~ Binomial(X, 0.45).

The amount spent by a paying customer follows an exponential distribution with a mean of $120. Let Z be the amount spent by a paying customer, then Z ~ Exp(1/120).

Now, let's find the mean and variance of the total sales per day.

E[XY] = E[E[XY|X]] = E[X * 0.45] = 70 * 0.45 = 31.5

E[Z] = 120

E[XYZ] = E[E[XYZ|XY]] = E[XY * 120] = 31.5 * 120 = 3780

Var(XY) = E[Var(XY|X)] + Var(E[XY|X]) = E[X * 0.45 * 0.55] + Var(X * 0.45) = 70 * 0.45 * 0.55 + 70 * 0.45 * 0.55 = 17.325

Var(Z) = 120^2

Var(XYZ) = E[Var(XYZ|XY)] + Var(E[XYZ|XY]) = E[XY * 120^2] + Var(XY * 120) = 31.5 * 120^2 + 17.325 * 120^2 = 3035250

Therefore, the variance of the total sales per day is Var(XYZ) = 3035250.

The standard deviation of the total sales per day is the square root of the variance:

SD(XYZ) = sqrt(3035250) = 1743.28

Therefore, the standard deviation of the total sales per day for the shoe store is approximately $1743.28.

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An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:I think it’s

-x(x-10)(x-7)

Step-by-step explanation:

Answer:

x=31

Step-by-step explanation:

Hello there!

the shown angles are supplementary meaning that the sum of the two is 180

so we create an equation

180=3x+25+2x

step 1 combine like terms

3x+2x

now we have

180=25+5x

step 2 subtract 25 from each side

180-25=155

now we have

155=5x

step 3 divide each side by 5

155/5=31

5x/5=x

we're left with x=31

~TheMathWiz

Answer:

2.6+7.4 or 2.4+7.6

Step-by-step explanation:

Both of the above equals to 10!

Answer:

70%

Step-by-step explanation:

21/30 * 100 = 70%

Answer:

20 kids

Step-by-step explanation:

so that totals to 11 (parents and kids)

55/11=5

4x5=20

20 kids

The distance between the points A=(-7,-7) and B=(-3,-1) is 7.21 units.

We can use the distance formula to find the distance between points A=(-7,-7) and B=(-3,-1) on the coordinate plane.

The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the values we have, we get:

d = √((-3 - (-7))^2 + (-1 - (-7))^2)

= √((4)^2 + (6)^2)

= √(16 + 36)

= √(52)

≈ 7.21

Therefore, the distance between points A=(-7,-7) and B=(-3,-1) is approximately 7.21 units.

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Answer:

40

Step-by-step explanation:

Answer:

x^2(3x-2) cubic inches OR in^3

OR

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS

-

NOTE: '^' MEANS TO THE POWER OF..

-

Volume = v, abc = 3 sides of cube (height, width, length)

Using the formula for volume in a cube,

\(v = abc\)

We can solve this.

If one side is (3x-2)in,

x^2(3x-2) cubic inches OR in^3

If all sides are (3x-2)in,

Use the formula,

\((a - b) ^{3} = {a}^{3} + 3ab(b - a) - {b}^{3} \)

We can solve this.

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

___

If you have any questions regarding formulas or anything, comment and I will get back to you asap.

___

The triangle can be represented and resolved by Side-Angle-Side similarity theorem. (Correct choice: D)

In this problem we find the case of two triangles whose internal angles are congruent and each pair of corresponding sides are proportional. The following conditions are observed:

Angles of the similar triangles

∠ Q ≅ ∠ S

∠ R ≅ ∠ T

Sides of the similar triangles

PQ ∝ PS, PR ∝ PT, QR ∝ ST

The triangles can be modeled according Side-Angle-Side similarity theorem, whose formula is described below:

PQ / PS = PR / PT

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The sample variance of the given data set is 11.5 (rounded to one decimal place).

To find the sample variance of a set of data, we can follow these steps:

Step 1: Calculate the mean (average) of the data set.

Step 2: Subtract the mean from each data point.

Step 3: Square each result from Step 2.

Step 4: Sum all the squared values from Step 3.

Step 5: Divide the sum from Step 4 by (n-1), where n is the number of data points.

Let's apply these steps to the given data set: 5, 9, 2, 10, 4.

Step 1: Calculate the mean

Mean = (5 + 9 + 2 + 10 + 4) / 5 = 30 / 5 = 6

Step 2: Subtract the mean from each data point

(5 - 6) = -1

(9 - 6) = 3

(2 - 6) = -4

(10 - 6) = 4

(4 - 6) = -2

Step 3: Square each result

\((-1)^2\) = 1

\(3^2\) = 9

\((-4)^2\) = 16

\(4^2\) = 16

\((-2)^2\) = 4

Step 4: Sum all the squared values

1 + 9 + 16 + 16 + 4 = 46

Step 5: Divide the sum by (n-1)

46 / (5-1) = 46 / 4 = 11.5.

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Answer:

The maximum weight of the second box is 125 pounds. (The box can weight  less than 125 pounds, but no more than 125 pounds since the total weight of the boxes cannot be more than 300 pounds.)

Step-by-step explanation:

x+y ≤ 300

175+y ≤ 300

Substract 175 on both sides:

y ≤ 125

The inequality that describes the weight limitation in terms of x and y is -

x + y ≤ 300 and the maximum weight of second box can be 125 pounds.

We have a conveyor belt such that there can only be two boxes moving at a time. The total weight of the boxes cannot be more than 300 pounds.

It is given in the question to assume let x and y represent the weights of the two boxes on the conveyer belt.

We have to find -

a) - inequality that describes the weight limitation in terms of x and y.

b) - If two boxes are to be placed on the conveyor belt and first box weighs 175 pounds then what is the maximum weight of the second box?

Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.

According to the part 'a' of the question -

The inequality that describes the weight limitation in terms of x and y is -

x + y ≤ 300

According to part 'b' of the question -

x = 175 pounds

The maximum weight of second box can be found out by substituting the value of 'x' in inequality in part a.

175 + y ≤ 300

y ≤ 125

Hence, the maximum weight of second box can be 125 pounds.

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1 ball and 3 board games can be chosen by Amanda in option E. 60 ways.

Here it is given that Amanda needs 1 ball and 3 board games.

The toy store only has 3 kinds of balls and 6 types of board games. Hence we will use combinations to determine the no. of ways she can choose the items

ⁿCₓ = n! / (n - r)! X r!

The ball can be chosen in

³C₁ ways

= 3! / 2! X 1!

= 6/2

= 3 ways

The board game can be chosen in  ⁶C₃ ways

= 6! / 3! X 3!

= 720 / 36

= 20 ways

Hence the total number of ways the items can be chosen is

3 X 20 ways

= E. 60 ways.

Complete Question

Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9

B. 12

C. 14

D. 15

E. 60

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Answer:

1. 1

2. 1

Step-by-step explanation:

Step 1

recall the eqn of a line y = mx + c

where m is the slope

step 2

compare you eqn given with the eqn y = mx + c

y = mx + c

y = 1 x + 17

then m = 1 which is slope.

both qns follows the same procedure

Answer:

Some numbers cannot be written as a ratio of two integers

Step-by-step explanation:

Answer:

An irrational number is a number that can not be written as a simple fraction or be expressed as the quotient of two integers.

Integer : (A whole number that is not a fraction).

Step-by-step explanation:

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

420 69

Step-by-step explanation:

620 +90 = 42069

Answer: C. are perpendicular

Step-by-step explanation:

I took the test and got it right