giving away points and marking brainliest
what is 500-60

To form the polynomial with zeros (-4, 4, 9) and degree 3, we use the fact that (x - a) is a factor if "a" is a zero. Multiplying the factors (x + 4), (x - 4), and (x - 9), we get f(x) = x^3 - 9x^2 - 16x + 144.



To form a polynomial with the given zeros (-4, 4, 9) and degree 3, we can use the fact that if a number "a" is a zero of a polynomial, then (x - a) is a factor of the polynomial.

Thus, for the given zeros, the factors will be (x + 4), (x - 4), and (x - 9). Multiplying these factors together will give us the desired polynomial.

f(x) = (x + 4)(x - 4)(x - 9)

Expanding this expression, we have:

f(x) = (x^2 - 16)(x - 9)

Now, we can multiply the remaining factors:

f(x) = x^3 - 9x^2 - 16x + 144

Therefore, the polynomial with integer coefficients and a leading coefficient of 1 is f(x) = x^3 - 9x^2 - 16x + 144.

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40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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The answer which holds true for the given function as required to be determined is; f (-2) = 1.

The correct question is; f(x) = x² - 4.

It follows from the task content that the statement which holds true for the given function is to be determined.

Since the given function in the task content is; f(x) = x² - 4.

By checking for the value of the function instance; f (-2) we. have that;

f (-2) = (-2)² - 4

f (-2) = 4 - 4

f (-2) = 0.

Ultimately, the statement which holds true as required is; f (-2) = 0.

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Answer:

They can be arranged 6 times

Step-by-step explanation:

Robert, Susan, Tod... Tod, Susan, Robert... Susan, Robert, Tod... Tod, Robert, Susan... Susan, Tod, Robert... Robert, Tod, Susan.

The domain of the function f(x) = log_b(x) in interval notation is (0, +∞). The range of the function depends on the base b.

The domain of the logarithmic function f(x) = log_b(x) is determined by the requirement that the argument of the logarithm, x, must be positive. Since the logarithm is undefined for zero and negative numbers, the domain excludes these values. Therefore, the domain is expressed in interval notation as (0, +∞), where the parentheses indicate that zero is not included and the positive infinity symbol indicates that the domain extends indefinitely towards positive numbers.

The range of the logarithmic function depends on the base b. If the base b is greater than 1, the function can output any real number as the exponent increases or decreases, leading to a range of (-∞, +∞), covering all possible real numbers. However, if the base b is between 0 and 1, the logarithmic function only outputs negative numbers. As the exponent increases or decreases, the value of the logarithm approaches negative infinity, resulting in a range of (-∞, 0). This signifies that the range consists of all negative real numbers, but does not include zero or positive numbers.

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The four levels of measurement for which data can be qualitative are nominal, ordinal, interval, and ratio. Qualitative data are pieces of information that describe the quality or characteristics of an object or phenomenon.

The levels of measurement are based on the degree of variation and consistency in the measured data, and they influence the statistical methods that can be used to analyze the data.

1. Nominal level of measurement: Nominal data refers to categorical data that are labeled using a set of symbols or names that do not have any intrinsic order or hierarchy.

The symbols or names used to label the categories are merely identifiers that can be used to differentiate between different groups or objects.

For example, blood type, gender, and color can be nominal data.

2. Ordinal level of measurementOrdinal data are qualitative or categorical data that can be arranged in an ordered sequence based on a specific characteristic or attribute.

This implies that the data have a clear ranking system in which they can be arranged based on their level of severity, frequency, or magnitude, but the differences between the values cannot be measured.

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Out of the 46 adults surveyed at the restaurant, 24 people eat meat, 22 people do not eat meat, 16 people eat fish, 30 people do not eat fish, and 36 people do not eat either one.  

Out of the 46 adults surveyed at the restaurant, 14 only eat meat, 6 only eat fish, and 10 eat both meat and fish. To find out how many people eat meat, we add the number of adults who only eat meat and the number of adults who eat both meat and fish, which is 14+10=24.    

To find out how many people do not eat meat, we subtract the number of people who eat meat (24) from the total number of adults surveyed (46), which is 46-24=22.  

Similarly, to find out how many people eat fish, we add the number of adults who only eat fish and the number of adults who eat both meat and fish, which is 6+10=16. To find out how many people do not eat fish, we subtract the number of people who eat fish (16) from the total number of adults surveyed (46), which is 46-16=30.

Finally, to find out how many people do not eat either one (meat or fish), we subtract the number of adults who eat both meat and fish (10) from the total number of adults surveyed (46), which is 46-10=36.

In summary, out of the 46 adults surveyed at the restaurant, 24 people eat meat, 22 people do not eat meat, 16 people eat fish, 30 people do not eat fish, and 36 people do not eat either one.  

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Answer:

since the ratio of y to x (also written y:x) never changes. The number 6 in the equation yx=6 y x = 6 is called the constant of variation. The equation yx=6 y x = 6 can also be written in the equivalent form, y=6x y = 6 x .

Step-by-step explanation:

The answer is True

Answer:

17

Step-by-step explanation:

This is a very neat problem -- for teachers.

Let the number of sides = y

The sum of the interior angles is 180*(y - 2)

We are told that this sum equals 9x^2

So far the equation is

(y - 2)*180 = 9x^2                   Divide both sides by 9

(y - 2)*20 = x^2                       Remove the brackets on the left.

20*y - 40 = x^2

We need another fact. We get that from the statement that x is three greater than the number of sides (y). Therefore y = x - 3

20*(x - 3) - 40 = x^2

20x - 60 - 40 = x^2       Combine like terms on the left

20x - 100 = x^2             Bring the left side to the right side.

0 = x^2 - 20x + 100      You have a quadratic.

a = 1

b = - 20

c = 100

When you solve the quadratic equation, you get

x = 20

Therefore the number of sides is 17.

Annual Medical cost = 1269.86

monthly premium cost to Ronald for the Blue Shield plan = $48.48.

For all doctor office visits, prescriptions, and major medical charges, Ronald will be responsible for 35 percent and the insurance company will cover 65 percent of covered charges.

The annual deductible cost = $630.

Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices. He visited his general physician 6 times during the year at a cost = $105 for each visit.

He also spent $71 and $95 on two prescriptions during the year.

= (Monthly premium cost × 12) + Deductible cost + (Coinsurance percent × Coinsurance expenses)

= (48.48 x 12) + 630 + (0.35 x 166)

= 1269.86

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Answer:

1/2

Step-by-step explanation:

The fraction of the sweaters that cost $50 or less is 50% is 1/2.

= 50/100

= 5/10

= 1/2

The projection of u onto v is approximately (1.76, -4.4, -5.29), and the vector component of u orthogonal to v is approximately\( (-5.76, -2.6, 0.29).\)

The projection of u onto v and the vector component of u orthogonal to v.
(a) To find the projection of u onto v, we use the formula:
\(proj_v(u) = (u ⋅ v / ||v||^2) * v\)
First, let's find the dot product of u and v:
\(u ⋅ v = (-4)(-2) + (-7)(5) + (-5)(6) = 8 - 35 - 30 = -57\)
Next, let's find the magnitude squared of v:
\(||v||^2 = (-2)^2 + (5)^2 + (6)^2 = 4 + 25 + 36 = 65\)
Now we can find the projection:
\(proj_v(u) = (-57 / 65) * (-2, 5, 6) ≈ (1.76, -4.4, -5.29)\)
(b) To find the vector component of u orthogonal to v, we use the formula:
u_orthogonal =\( u - proj_v(u)\)
u_orthogonal =\( (-4, -7, -5) - (1.76, -4.4, -5.29) ≈ (-5.76, -2.6, 0.29)\)
So, the projection of u onto v is approximately (1.76, -4.4, -5.29), and the vector component of u orthogonal to v is approximately\( (-5.76, -2.6, 0.29).\)

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Answer:

34 child tickets

Step-by-step explanation:

let c = # child tickets

let a = # adult tickets

System of equations:

6.20c+9.50a=1179.80

a=3c

substitute 3c for a:

6.20c +9.50(3c) = 1179.80

34.7c=1179.80

c=34

Answer:

34 child tickets were sold that day.

Step-by-step explanation:

Let's use C to represent the number of child tickets sold and A to represent the number of adult tickets sold.

From the problem, we know that:

We can set up an equation based on the information given:

\(\qquad\large\rm{6.2C + 9.5A = 1179.8}\)

Substitute A with 3C:

\(\qquad\large\rm{6.2C + 9.5(3C) = 1179.8}\)

Simplify:

\(\qquad\large\rm{6.2C + 28.5C = 1179.8}\)

\(\qquad\qquad\large\rm{34.7C = 1179.8}\)

\(\qquad\qquad\quad\large\boxed{\boxed{\bold{\:\:C \approx 34\:\:}}}\)

\(\therefore\) 34 child tickets were sold that day.

The simplest form of the expression ³√250 + ³√54 - ³√16 is approximately 7.48.

We have,

To simplify the expression ³√250 + ³√54 - ³√16, we need to evaluate the cube root of each individual number and then perform the addition and subtraction.

The cube root of 250 is approximately 6.30, since

6.30 x 6.30 x 6.30 ≈ 250.

The cube root of 54 is approximately 3.78, since

3.78 x 3.78 x 3.78 ≈ 54.

The cube root of 16 is exactly 2,

since 2.6 x 2.6 x 2.6 = 16, which is the closest perfect cube to 16.

Now, we substitute these values back into the expression:

³√250 + ³√54 - ³√16

≈ 6.30 + 3.78 - 2.6

Performing addition and subtraction:

≈ 10.08 - 2.6

≈ 7.48

Therefore,

The simplest form of the expression ³√250 + ³√54 - ³√16 is approximately 7.48.

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Answer:

b=92/3x

Step-by-step explanation:

Divide everything by 3x and simplify.

Answer:

lol :(

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

There are 130 positive integers less than 1000 that are divisible by 7 but not by 11.

The rule used to find the number of positive integers less than 1000 that are divisible by 7 but not by 11 is the inclusion-exclusion principle. This principle states that if we want to find the number of elements that belong to at least one of two sets, we can add the sizes of the sets together and then subtract the size of the intersection of the sets. In this case, we first find the number of positive integers less than 1000 that are divisible by 7 (which is 142), then the number that are divisible by 11 (which is 90), and finally the number that are divisible by both (which is 12). Using the inclusion-exclusion principle, we can find the number of positive integers less than 1000 that are divisible by 7 but not by 11 by subtracting the number that are divisible by both from the number that are divisible by 7: 142 - 12 = 130. Therefore, there are 130 positive integers less than 1000 that are divisible by 7 but not by 11.
To find the number of positive integers less than 1000 that are divisible by 7 but not by 11, you can use the Inclusion-Exclusion Principle.

First, find the number of integers divisible by 7: there are 999/7 = 142.71, so 142 integers are divisible by 7.

Next, find the number of integers divisible by both 7 and 11 (i.e., divisible by their LCM, which is 77): there are 999/77 = 12.97, so 12 integers are divisible by 77.

Now, apply the Inclusion-Exclusion Principle: Subtract the number of integers divisible by both 7 and 11 from the number of integers divisible by 7: 142 - 12 = 130.

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Answer:

Step-by-step explanation:

x

2

−4x+y

2

−6y+13

Answer:y=3x + 2

Step-by-step explanation: 4x+6y= 12x=-4y+ 8 y=-3x+2

The equation for the demand curve is Q = a - bP, where Q represents the quantity demanded, P represents the price of the product, a represents the intercept of the demand curve, and b represents the slope of the demand curve.

The equation for the demand curve is a fundamental concept in economics that helps us understand the relationship between the price of a product and the quantity of the product that consumers are willing to buy at that price.

The equation is typically expressed as:

Q = a - bP

The equation shows that as the price of a product increases, the quantity demanded decreases, and vice versa. This is known as the law of demand. It reflects the inverse relationship between price and quantity demanded.

The demand curve is downward sloping because of this inverse relationship. It slopes downwards from left to right, indicating that as the price decreases, the quantity demanded increases, and as the price increases, the quantity demanded decreases.

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The relationship between the determinant of a square matrix and the determinant of the matrix multiplied by a scalar is,  the determinant of the matrix multiplied by a scalar is \(k^{n}\) times the determinant of a square matrix, det(kA) = \(k^{n} D\)

Let A be a square matrix,

And the det(A) = D, equation (1)

If we multiply the square matrix with a scalar k, then the matrix becomes, kA, and its determinant is given as,

det(kA) = \(k^{n} D\) , equation (2)

where k is the scalar,

n is the order of the square matrix and

Dis the determinant of the square matrix A.

Thus, the relationship between the determinant of a square matrix and the determinant of the matrix multiplied by a scalar is,  the determinant of the matrix multiplied by a scalar is \(k^{n}\) times the determinant of a square matrix.

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Answer:

The first option.

Step-by-step explanation:

Add all the numbers together and voila you get 27

Answer:

π = 22/7

²²/7= 3.14

Step-by-step explanation:

22/7= 3.14

the slope of the given point is m=−7/2

Answer:

d.y=x/3+4

Step-by-step explanation:

we have

slope=(y-b)÷(x-a)

1/3=(y-2)÷(x--6)

(x+6)=3(y-2)

x+6=3y-6

x+6+6=3y

(x+12)÷3=y

y=x/3+4

Answer:

On time: 0.67

Late: 0.33

Step-by-step explanation:

Probabilities

One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).

The probability can be estimated with the formula:

\(\displaystyle P=\frac{e}{n}\)

And the probability that the event doesn't occur is

Q = 1 - P

Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:

\(\displaystyle P=\frac{53}{79}\)

P = 0.67

And the probability he arrives late is:

Q = 1 - 0.67 = 0.33

Answer:

Pierre has  £ 146 and

Alex has  £ 106

Step-by-step explanation:

Let the money with Pierre be = p

Let the money with Alex = a

If Pierre gave Alex £20, they would have the same amount.

So, we should subtract £ 20 from p and add £ 20 to a

p - 20 = a + 20

     p    = a + 20 + 20

 p    = a + 40 ----------------(I)

If Alex gave Pierre £22, then Pierre would have twice as much as Alex.

p + 22 = 2*(a -22)

 p + 22 = 2a - 44      

         p  = 2a - 44 - 22

         p = 2a - 66

p -2a    = - 66   -----------------(II)

Substitute p = a + 40 in equation (II)

a + 40 - 2a = -66

 a - 2a + 40 = -66

     -a            = - 66 - 40

              -a  = - 106

      Multiply both sides by (-1)

\(\boxed{a = \£ \ 106}\)

Substitute a = 106 in equation (I)

p = 106 + 40

\(\boxed{p = \£ 146}\)

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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By using Python, you will come up with your own challenging algorithm for other students to trace.

If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.

The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.

These conditional statements are available in Python:

If you want a block of code to run only if a certain condition is true, use the if statement.

If the same expression is false, use instead that to provide a set of instructions that should be run.

If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.

To choose which of the several program code should be performed, use the switch.

How to write the code?

num = 100

if num < 20:

print('Less than 20')

if num < 30:

print('Less than 30')

if num < 40:

print('Less than 40')

if num < 50:

print('Less than 50')

if num > 100 or num == 100:

print('More than or equal to 100')

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if f(x) +\(x^{2}\)  \([ f(x) ]^{5}\)  = 34 and f(1) = 2, then f '(1) = - \(\frac{64}{81}\)

f ′(x )'s indicates that it is derived from f (x). The second notation is dydx. The instantaneous rate at which y changes in relation to x is shown by this notation.

f(x) + \(x^{2}\)  \([ f(x) ]^{5}\)  =  34

differentiate with respect to x :

f' (x) + \(x^{2}\) . 5 \([ f(x) ]^{4}\) f'(x) +  \([ f(x) ]^{5}\)  2x = 0

putting x = 1

f' (1) + \(1^{2}\) . 5  \(f(1)^{4}\) f'(1) + \(f(1)^{5}\) 2(1) = 0

f' (1) + 1.5 \((2)^{4}\) f'(1) + \((2)^{5}\) . 2 = 0

f' (1) + 80 f' (1) = - 64

81 f' (1) = - 64

f' (1) = - \(\frac{64}{81}\)                    

thus , the f ' (1) is found.

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Here, we are required to identify which part of the sentence is a clause .

The clause in the sentence is "Salim and Anna met when they were in first grade"

First, we must know that a clause is simply defined as a group of words containing a subject and predicate and functions as a part of a complex or compound sentence.

The sentence "Salim and Anna met when they were in first grade, and they have been best friends for 10 years." is a compound sentence.

And, the "Salim and Anna met when they were in first grade" part of the sentence is a clause as it has a subject which is "Salim and Anna" and a predicate which is the rest of the sentence i.e "met when they were in first grade"

The part of the sentence which is a clause is Salim and Anna met when they were in first grade

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Answer: A

Step-by-step explanation:

I got it correct..

Answer:

60 mph?

Step-by-step explanation:

If she drives 320 miles in 5 hours, her average speed would be 64 mph, but 60 is the closest so I would go with that I guess. I'm pretty sure these are all wrong options though