if m Mf = 42 degrees and many = 132 degrees find m< C

The range of the function N(t) is [20.25, ∞). The correct option is D.

A function's range is the set of possible output values. For example, the range of the function f(x)=x² on the domain of all real numbers (xR) is the non-negative real numbers, which can be written as f(x)0 (or [0,] in interval notation).

In this question, we have been given that an online streaming service that offers TV shows, documentaries, and movies charges an initial fee of $ 20.25 and an additional monthly membership fee of $3.75.

The total cost, N(t), for a member after t months can be expressed with the function N(t) = 3.75t + 20.25

As t is the number of months, t can take values from 0 to infinity.

For t = 0 years,

N(0) = 3.75(0) + 17.25

N(0) = 0 + 17.25

N(0) = $17.25

For x tends to ∞, the value of function would be ∞. The range will be (20.25,∞).

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Answer:

D.0

Step-by-step explanation:

Our system of equations is

then we can conclude that

This is a quadratic equation so we will use the dicriminant method:

Let Δ be our dicriminant

The dicriminant is negative so this equation has no real solutions

the the system has no real solutions

Answer:

3x/2 feet

Step-by-step explanation:

It is given that, a person walked x feet and then half of that length again. We need to find total distance covered by him.

Total distance covered = sum of path travelled

Initial distance = x feet

Extra distance covered = (x/2) feet

Total distance = x+x/2 = 3x/2 feet

So, he will cover 3x/2 feet.

The function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

To find the function f, we will integrate the given second derivative with respect to theta twice, and use the initial conditions to determine the constants of integration.

First, integrating f ''(theta) = sin(theta) + cos(theta) with respect to theta gives:

f '(theta) = -cos(theta) + sin(theta) + C1

where C1 is a constant of integration.

Next, integrating f '(theta) = -cos(theta) + sin(theta) + C1 with respect to theta gives:

f(theta) = sin(theta) + cos(theta) + C1*theta + C2

where C2 is another constant of integration.

To determine the values of C1 and C2, we use the initial conditions:

f(0) = 4 gives us:

4 = sin(0) + cos(0) + C1*0 + C2

4 = 1 + C2

so C2 = 3.

f '(0) = 1 gives us:

1 = -cos(0) + sin(0) + C1

1 = 1 + C1

so C1 = 0.

Therefore, the function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

Note that there are other ways to express this function, such as using trigonometric identities to simplify the expression, but this is the most general form.

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Answer:

w = -3.6

Step-by-step explanation:

→Add like terms (2.3w and -14 w):

-0.05 + 2.3w - 14w = -6.89 - 13.6w

-0.05 -11.7w = -6.89 - 13.6w

→Add 11.7w to both sides:

-0.05 = -6.89 - 1.9w

→Add 6.89 to both sides:

6.84 = -1.9w

→Divide both sides by -1.9:

-3.6 = w

Answer:

\( \boxed{w = - 3.6} \)

Step-by-step explanation:

\( = > - 0.05 + 2.3w - 14w = - 6.89 - 13.6w \\ \\ = > - 0.05 - 11.7w = - 6.89 - 13.6w \\ \\ = > - 0.05 - 11.7w + 13.6w = - 6.89 \\ \\ = > - 0.05 + 1.9w = - 6.89 \\ \\ = > 1.9w = - 6.89 + 0.05 \\ \\ = > 1.9w = - 6.84 \\ \\ = > w = - \frac{6.84}{1.9} \\ \\ = > w = - 3.6\)

Answer:

d. solve for 'y' in the second equation

The first step is to solve for 'y' after that you will substitute it in the next step ie when using substitution method.

Answer:

525 in³

Step-by-step explanation:

Use the direct variation equation, y = kx.

Substitute y with v (volume) and substitute x with l (length) to represent this situation:

y = kx

v = kl

Plug in 35 as l and 15 as k, then solve for v (the volume):

v = kl

v = 15(35)

v = 525

So, the volume of the box is 525 in³

Adding a derivational suffix to a word often changes the part of speech is true.

What is derivational suffix ?

A derivational suffix is a type of affix that is added to the end of a base word to create a new word with a different meaning, often a different part of speech.

For example, adding the derivational suffix "-ness" to the base word "kind" creates the new word "kindness," which is a noun that refers to the quality or state of being kind. Similarly, adding the derivational suffix "-able" to the base word "value" creates the new word "valuable," which is an adjective that describes something that is worth a lot.

Derivational suffixes can change the meaning and function of a word, and they are often used to create new words in English. Some common derivational suffixes include "-er," "-able," "-ness," "-ful," "-ish," and "-ize."

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Complete question is: Adding a derivational suffix to a word often changes the part of speech is true.

The sum of the prime numbers that divide N the number of such committees that can be formed is 81

In this question we have been given a club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee.

The committee could have as few as 1 member or as many as 23 members.

Let N be the number of such committees that can be formed.

We need to find the sum of the prime numbers that divide N.

Let m be the number of women selected.

So, the number of men not selected would be:

11 - (m - 1) = 12 - m

Each combination of women selected and men not selected corresponds to a committee selection.

Since choosing 12 individuals from the total of 23 would give m women and 12 - m men, the number of committee selections :

using combination formula,

N = 23C12

N = 23!/12!(23 - 12)!

N = 1352078

The prime factors of 1352078 are: 2, 7, 13, 17, 19, 23

So, the sum of the prime numbers would be,

2 + 7 + 13 + 17 + 19 + 23 = 81

Therefore, the sum of the prime numbers = 81

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The complete question is:

A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have as few as 1 member or as many as 23 members. Let N be the number of such committees that can be formed. Find the sum of the prime numbers that divide N.

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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The year it will take Mussman to reach a population of 27,000 resident is 10.7 years

Population growth is the increase in the number of people in a population or dispersed group.

We use exponential function when calculating increase in population per time

p(t) =p(o) e^kt

27000 = 13500 e^0.065t

e^0.065t = 27000/13500

0.065t = ln 2

0.065t = 0.693

t = 0.693/0.065

t = 10.7 years

therefore it will take 10.7years for the resident of Mussman to reach a population of 27000

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0.578. is  the probability that the size of the family is at least 3.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.  

                                     Statistics describes the examination of events subject to probability.

P(X>=3) can be written as

= 1 - P(X<3)

= P(X<=2)

= 1-0.422

= 0.578

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Answer:

for the first on it says x + 20 - 1

and if x=9

then you just plug it in

so you would get

9 + 20 -1

then you solve

Rolling a total of 8 when two dice are rolled is more likely than rolling a total of 8 when three dice are rolled.

This is because there are more combinations of two dice that can add up to 8 (four combinations; 1-7, 2-6, 3-5, 4-4) than there are combinations of three dice (three combinations; 1-3-4, 2-2-4, 3-3-2).

Therefore, the probability of rolling a total of 8 with two dice is greater than the probability of rolling a total of 8 with three dice.

Additionally, the odds of rolling a total of 8 with two dice can be calculated using the formula (Number of favourable outcomes/Total number of outcomes) x 100%.

In this case, the formula would be (4/36) x 100%, which equals 11.11%. The odds of rolling a total of 8 with three dice is calculated using the same formula, which would be (3/216) x 100%, which equals 1.39%.

This shows that the odds of rolling a total of 8 with two dice is much greater than the odds of rolling a total of 8 with three dice.

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Step-by-step explanation:

let us consider the elevation of the sun is x

then

x=6×6

x=36

Answer: y: 5.5

Step-by-step explanation: combine 3/2 and x

y=3/2+ 4=5.5

Answer:

x+y=7

Step-by-step explanation:

Hi there!

We are given a slope of -1, and the point (2,5)

We want to write an equation of the line in standard form

One way to write the equation of the line in standard form is to first write it in slope-intercept form, and then convert to standard form.

Since we are already given the slope of the line (-1), we can immediately plug it into the equation y=mx+b

y=-1x+b, or y=-x+b

Now we need to solve for b

As the equation should contain the point (2, 5), it should pass through that point; therefore, it is a solution to the equation, and we can use it to help solve for b

substitute 2 as x and 5 as y:

5=-1(2)+b

Multiply

5=-2+b

add 2 to both sides

7=b

Substitute 7 as b:

y=-x+7

Now we have the equation in slope-intercept form, but remember; we want it in standard form.

Standard form has both x and y on one side, so we can add x to both sides to convert to standard form.

x + y = 7

The equation is written in standard form; a and b (the coefficients in front of x and y) are both not zero, and a is not negative. So we are done.

Hope this helps!

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Answer:

31.4in

Step-by-step explanation:

The formula is [ C = 2πr ].

C = 2π(5)

C = 10π

C = 10(3.14)

C = 31.4in

Best of Luck!

Answer:

\(\displaystyle 31,415926536...\:in.\)

Step-by-step explanation:

The radius is half the diametre, so double 5 to get this:

\(\displaystyle \pi{d} = C \\ 10\pi = C \\ \\ 31,415926536... = C\)

I am joyous to assist you at any time.

Answer:

No linear relationship between x and y

Step-by-step explanation:

change in y is constant, change in x is increasing not a constant. constant means it remains the same doesnt change.

The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.

First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.

Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.

Using this method, we need to distribute 14 stars among 5 bars, which can be done in

(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.

Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

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The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the circular base, h is the height of the cone, and π is constant approximately equal to 3.14.

Substituting the given values, we get:

V = (1/3)π(18^2)(6) = 6,084π cubic inches

To find the fraction of the volume of the cone filled when the water reaches a height of 2 inches, we need to calculate the volume of water in the cone. The water will form a smaller cone with a height of 2 inches and a radius of 18 inches.

Using the same formula as above, we get:

V_water = (1/3)π(18^2)(2) = 648π cubic inches

The fraction of the volume of the cone filled with water is then:

V_water / V = (648π) / (6,084π) = 0.106, which is approximately equal to 1/9.

Therefore, the answer is C. 1/9.

Answer: n=1,2,3

Step-by-step explanation: if we plug in these numbers 2*1+3*1=5*1 this works. If we do this for 2 then we have 2*2+3*2=10 and 5*2= 10 this also works. The same thing with 3.  2*3+3*3=15     5*3=15

Hope this helps!

The coins in the stack if its height is 1414 mm and the thickness of the coins are penny 1.55 mm, nickel 1.95 mm, dime 1.35 mm, and quarter 1.75 mm is 214.

The thickness of the coins are

Penny 1.55 mm

Nickel 1.95 mm

Dime 1.35 mm

Quarter 1.75 mm

The stack which contains the given coins is 1414 mm high.

Now to find the number of coins we can divide the total thickness of the coins with the height of the given stack.

Total thickness of available coins = 1.55 + 1.95 + 1.35 + 1.75 = 6.6

The total height of stack = 1414 mm

Number of coins in the stack = 1414/6.6 = 214.24

The number of coins are 214

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The volume of the solid generated when the region bounded by the graph of x=y−2−−−−√ and the lines x=0 and y=5 is revolved about the y-axis is 65.45 cubic units.

When the region bounded by the graph of x=y−2−−−−√ and the lines x=0 and y=5 are revolved about the y-axis, it generates a solid with a volume of 65.45 cubic units. To find this volume, we can use the method of cylindrical shells. The given region is a portion of the curve y = x^2 + 2, where x ranges from 0 to 3. We need to rotate this region about the y-axis.

To calculate the volume, we integrate the formula for the volume of a cylindrical shell over the given range of x. The formula for the volume of a cylindrical shell is V = 2πx(f(x) - g(x))dx, where f(x) and g(x) represent the upper and lower boundaries of the region, respectively. In this case, f(x) = 5 and g(x) = x^2 + 2.

The integral becomes V = ∫(2πx(5 - (x^2 + 2)))dx, with x ranging from 0 to 3. Solving this integral, we obtain V = 65.45 cubic units.

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a) The feasible set can be represented as a straight line with a negative slope on a graph.

b) The preferred choice point is (15, 15).

c)  With an entrance fee of $9, the new feasible set shifts vertically upwards.

d)  The change in entrance fee reduced the amount of leftover cash in the feasible set.

a) The x-axis represents the number of pizza slices, and the y-axis represents the leftover cash. The line starts at the point (0, 60) and intersects the x-axis at (20, 0). This means that you can buy a maximum of 20 pizza slices with $60, and if you don't buy any pizza, you will have $60 left.

b) This point represents buying 15 slices of pizza, which costs $45, and having $15 left. It is the preferred choice because it allows for a balance between enjoying pizza and not exhausting all the cash. It provides both a substantial amount of pizza and a reasonable amount of leftover cash.

c) The line now starts at (0, 51) and intersects the x-axis at (20, 9). This means that with the entrance fee, you can buy a maximum of 20 pizza slices and have $9 left.

d) It means that you have less cash available after buying pizza slices. The new preferred choice would likely shift downwards to a point that allows for a reasonable number of pizza slices while still leaving enough money to cover the entrance fee.

The change in entrance fee makes it necessary to consider the balance between the number of pizza slices and the available cash more carefully to ensure you can afford the entrance fee and still enjoy a satisfying amount of pizza.

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Answer: 120:72

Step-by-step explanation:

tulips: 72/3 = 24

so multiply roses to get an equal ratio, 24 x 5 = 120