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Can someone help me out with this??

Marco pays $1008  for for his credit card, groceries, and rent.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Marco budgets $1,600 a month for expenses.

According to the graph he pays 4% of credit card

Now let us find 4% of 1600

4/100×1600

0.04×1600

$64 Marco pays for credit card.

From graph, he pays 17% for groceries

17% of 1600

17/100×1600

0.17×1600=$272

$272 Marco pays for Groceries.

From graph, he pays 42% for rent

42/100×1600

0.42×1600=672

$672 Marco pays for Rent.

Hence, Marco pays $1008  for for his credit card, groceries, and rent.

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Answer:

answers are (1+0.13)x and 1.13x

Step-by-step explanation:

i did this one last year and got it right :)

The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

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

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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The spherical coordinates of the given rectangular coordinates are (10, 0, 60).

The cartesian coordinate or rectangular coordinates describes the location of a point in space using an ordered triple where each coordinate represents a distance. The spherical coordinate system describes the location of a point in space using an ordered triple where coordinate describes one distance and two angles. In the spherical coordinate system, a point is represented by the ordered triple (ρ, θ, φ).

The equations which are used to convert from rectangular coordinates to spherical coordinates are:

ρ^2=x^2+y^2+z^2

tan⁡〖θ= y/x〗

φ=arccos⁡〖z/√(x^2+y^2+z^2 )〗

The given rectangular coordinates are (5√3, 0, 5). Hence,

ρ^2=〖(5√3)〗^2+0^2+5^2 ≈ 100

ρ ≈ √100 ≈ 10

tan⁡〖θ= 0/(5√3)=0〗

θ=  tan^(-1)⁡0=0

φ=arccos⁡〖5/√(〖(5√3)〗^2+0^2+5^2 )〗= arccos 5/10=arccos⁡0.5 ≈ 60

Note:  The question is incomplete. The complete question probably is: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*). (5√3, 0, 5)

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Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

x = 63.28°

Step-by-step explanation:

A = 33°

a = 175 mm

C = x

c = 287 mm

Use the Law of Sines to find x

Thus:

\( \frac{a}{sin(A)} = \frac{c}{sin(C)} \)

Plug in the values

\( \frac{175}{sin(33)} = \frac{287}{sin(x)} \)

Cross multiply

\( 175*sin(x) = 287*sin(33) \)

Divide both sides by 175

\( sin(x) = \frac{287*sin(33)}{175} \)

\( sin(x) = 0.893208017 \)

\( x = sin^{-1}(0.893208017) \)

x = 63.28° (2 decimal places)

Answer:

The origin (0,0)

Step-by-step explanation:

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

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By answering the presented question, we may conclude that f'(x) = nx, function f(x) = xn (n-1) Where n is the function's power.

Mathematicians examine numbers and their variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "function" refers to the relationship between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and outputs in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used to denote functions (x). The symbol for entry is an x. The four primary types of accessible functions are on functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions.

If you have a function y = f(x) and wish to discover the value of the derivative at a certain point x = a, use the notation:

lim(h -> 0) f'(a) h = [f(a + h) - f(a)]

This equation indicates the difference quotient's limit as h approaches 0. You may also use the derivative formula for power functions:

f'(x) = nx, f(x) = xn (n-1)

Where n is the function's power.

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Answer:

The correct answer is

379.94 cm^2

Use the equation pir^2 to find the area. If you need to find the radius make sure to divide the diameter my 2

Hope this helps! If u have anymore questions i'd love to help!

- Quinn

The answer is 379.94cm^2

Hope it helps

Please see the attached picture for full solution

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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Answer:D

Step-by-step explanation:

2x + 3y = 12

-2x -2x

3y = -2x + 12

/3 /3 /3

Y = -2/3x + 4

Answer:

the right answer is x(x+2)

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

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The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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Answer:

1/3 have a great say!

Step-by-step explanation:

slope= rise/run

Answer:

This question doesn't have a solution

Step-by-step explanation:

Answer:

\(21 \frac{1}{3}\) fit into the product

Step-by-step explanation:

so you want to convert \(2 \frac{2}{3}\) into a fraction by multiplying 2 by 3 and adding it to the 2. This will give you (3 * 2) = 6 => 6+2=8 which is the numerator. So the fraction becomes \(\frac{8}{3}\) and since the two fractions are equal they both become this. So now you have \(\frac{8}{3} * \frac{8}{3}\) which can be calculated by multiplying the numerators and denominators. This gives you \(\frac{8*8}{3*3} = \frac{64}{9}\). Now this just gives you the product but the question is asking you how many one thirds is the product. This is essentially saying how many 1/3 fit into the product or in other words what is the product divided by 1/3. This gives you the equation \(\frac{64}{9} \div \frac{1}{3}\) which can be calculated by changing the sign to multiplication and flipping the second fraction (1/3 => 3/1) This gives you the equation \(\frac{64}{9} * \frac{3}{1} = \frac{64 * 3}{3 * 3} = \frac{64}{3}\). I rewrote the 9 as 3 * 3 in the equation so you can see that we can just cancel out the 3. Since if have a number and multiply it by "x" and divide by "x" you just have the original number. So now you have 64/3 which simplifies to \(21 \frac{1}{3}\)

\(\huge\text{Hey there!}\)

\(\mathsf{2\dfrac{2}{3}\times 2 \dfrac{2}{3}}\)

\(\mathsf{= \dfrac{2\times3+2}{3}\times\dfrac{2\times 3 + 2}{3}}}\)

\(\mathsf{= \dfrac{6 + 2}{3}\times \dfrac{6 + 2}{3}}\)

\(\mathsf{= \dfrac{8}{3}\times\dfrac{8}{3}}\)

\(\mathsf{= \dfrac{8\times8}{3\times3}}\)

\(\mathsf{= \dfrac{8 + 8 + 8 + 8 + 8 + 8 + 8 + 8}{3 + 3 + 3}}\)

\(\mathsf{= \dfrac{16 + 16 + 16 + 16}{6 + 3}}\)

\(\mathsf{= \dfrac{32 + 32}{9}}\)

\(\mathsf{= \dfrac{64}{9}}\)

\(\mathsf{= 7 \dfrac{1}{9}}\)

\(\approx{\mathsf{21 \dfrac{1}{3}}}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{21\dfrac{1}{3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

10/3

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

3+8=11

3+8=113b+8b=11b

3+8=113b+8b=11b11b=11b

3+8=113b+8b=11b11b=11bHence, the equation is true.

LHS:-

\(\\ \rm\Rrightarrow 3b+8b\)

\(\\ \rm\Rrightarrow (3+8)b\)

\(\\ \rm\Rrightarrow 11b\)

Yes true

Ans

Step-by-step explanation:i dont know

Answer:

Can you take a clearer photo please or just take a picture of the actual problem up closer ?

Step-by-step explanation: