Evaluate the function when x = - 2, 0 and 5.

Answer: x-3

Step-by-step explanation:

Answer: x-3. Step-by-step explanation: f(x) = 3x-2 . g(x) = 2x + 1 (f-g)(x) = 3x-2 - ( 2x+1) Distribute the minus sign =3x-2 -2x-1. Combine like terms

Hope this helps

Answer:

I'm sorry but you have to be a lil specific with the question..

Answer:

A. $0

Step-by-step explanation:

took class got it

Answer:

6 hours

Step-by-step explanation:

Divide 3300 by 550, so it's 6.

Answer: $537.5

Step-by-step explanation:

$500 at 1.5% for 5 years

p x  r x t = i

500 x 0.015 x 5= 37.5

37.5+500=537.5

Answer:

1.

x=# of purple marbles

y=# of yellow marbles

y=3x

y+x=164

3x+x=164

4x=164

x=41

There are 41 purple marbles and 41*3=123 yellow marbles.

2.

L=large fries

H=hamburger

H=1.15+L

2H+L= 8.60

2.3+2L+L=8.60

2.3+3L=8.60

3L=6.3

L=2.1

A large fries costs $2,1 while a Hamburger costs 1.15+2.1=$3.25.

The number of pieces and total cost of each shape is as follows;

1) Number of pieces = 6

Total Cost = 6 * 0.12 = $0.72

2) Number of pieces = 4

Total Cost = 4 * 0.66 = $2.64

3) Number of pieces = 3

Total Cost = 4 * 0.02 = $0.08

4) Number of pieces = 4

Total Cost = 4 * 0.04 = $0.16

5) Number of pieces = 4

Total Cost = 4 * 0.04 = $0.16

6) Number of pieces = 4

Total Cost = 4 * 0.02 = $0.08

1) This piece is a hexagon which has 6 sides and as such;

Number of pieces = 6

Cost of each piece = $0.12

Total Cost = 6 * 0.12 = $0.72

2) This piece is a trapezium which has 4 sides and as such;

Number of pieces = 4

Cost of each piece = $0.66

Total Cost = 4 * 0.66 = $2.64

3) This piece is a Triangle which has 3 sides and as such;

Number of pieces = 3

Cost of each piece = $0.02

Total Cost = 4 * 0.02 = $0.08

4) This piece is a square which has 4 sides and as such;

Number of pieces = 4

Cost of each piece = $0.04

Total Cost = 4 * 0.04 = $0.16

5) This piece is a rhombus which has 4 sides and as such;

Number of pieces = 4

Cost of each piece = $0.04

Total Cost = 4 * 0.04 = $0.16

6) This piece is a rhombus which has 4 sides and as such;

Number of pieces = 4

Cost of each piece = $0.02

Total Cost = 4 * 0.02 = $0.08

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Answer:

Line l could also be called line FE

Step-by-step explanation:

Any line can be named using two points on that same line

The cubic polynomial with zeros (3,0), (-6,0) and (1,0) is given as follows:

D. x³ + 2x² - 21x + 18.

We are given the zeros of the polynomial, which then can be obtained using the Factor Theorem.

The zeros of the polynomial are given as follows:

x = 3, x = -6, x = 1.

Then, applying the Factor Theorem, considering a leading coefficient of 1, the polynomial is given as the product of it's linear factors as follows:

(x - 3)(x + 6)(x - 1)

(x² + 3x - 18)(x - 1)

x³ + 2x² - 21x + 18.

Meaning that option D is correct.

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The mass of the triangular region with vertices (0, 0), (5, 0), and (0, 3), with density function ρ(x,y) = x^2y^2, is approximately 10.625 units.

To find the mass of the triangular region, we need to integrate the density function ρ(x,y) = x^2y^2 over the region's domain. By integrating the density function over the region, we can calculate the total mass.

In this case, the region is a triangle with vertices (0, 0), (5, 0), and (0, 3). To integrate the density function, we need to set up the double integral over the triangle's domain, which is determined by the range of x and y values that cover the triangle.

By evaluating the double integral and performing the calculations, we can find the mass of the triangular region to be approximately 10.625 units.

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Step-by-step explanation:

2/7= 2*2*2/7*7*7

=8/343

The volume ratio is given as;

⇒ 8 : 243

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Side ratio is,

⇒ 2 : 7

Hence, The volume ratio is given as;

⇒ 2³ / 7³

⇒ 2×2×2 / 7×7×7

⇒ 8 / 243

⇒ 8 : 243

Thus, The volume ratio is given as;

⇒ 8 : 243

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Answer:

13

Step-by-step explanation:

Since this is a right triangle, you can use the Pythagorean Theorem.

The side y would be the hypotenuse.

\(a^{2} + b^{2} = c^{2}\)

Plug it in:

\(5^{2} + 12^{2} = y^{2}\)

Isolate y:

y = \(\sqrt{ 5^{2} + 12^{2} }\)

Solve:

y = 13

The volume of the given prism is 3.118 cubic centimeters.

What is a prism?

A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces.

We know that volume of prism is given by:

Volume = length * width * height

We are given the following:

Length (l) = 1.67 cm

Width (w) = 0.83 am

Height (h) = 2.25

So, from this we get

⇒ Volume = 1.67 * 0.83 * 2.25

⇒ Volume = 3.118 cubic centimeters

Hence, the volume of the given prism is 3.118 cubic centimeters.

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Answer:

Step-by-step explanation:

simple interest I = P r T

where

I = simple interest

P = Principal = 300

r = rate = 6.5%

t = time = 1 year

plugin values into the formula:

I = 300 (0.065) 1

I =  19.5

therefore, the annual simple interest is 19.5

The  grade would raise the grade to 58.76%.

To calculate the impact of a 50-point assignment on a 67.0% overall grade, we first need to know the weight of the assignment in the calculation of the overall grade. Let's assume that the assignment is worth 20% of the final grade for the class.

If the overall grade is 67.0%, then the weight of the remaining work in the calculation is 100% - 67.0% = 33.0%. Therefore, the current score for the final piece of work is:

(67.0% x 33.0%) = 22.11%

Adding the score for the 50-point assignment to this gives us the new score for the final piece of work:

22.11% + (50 / 100) x 20% = 32.11%

Since this is the score for the final piece of work, we can now calculate the new overall grade for the class using the updated weightings:

(67.0% x 80%) + (32.11% x 20%) = 58.76%

If the 50-point assignment is worth 20% of the final grade, adding it to a 67.0%.

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Answer:

3(k-4)(7k^2+5)

Step-by-step explanation:

1) Factor out GCF

3(7k^3-28k^2+5k-20)

2)Split into two

3) Factor

3*7k^2(k-4)+5(k-4)

3(k-4)(7k^2+5)

To maximize the sugar you can gain from street vendors and satisfy your sweet tooth, you can use the following expression:

m[i] = max(m[i-1] + s[i], s[i])

Here, m[i] represents the maximum sugar you can consume so far on the i-th vendor, and s[i] denotes the sugar content of the i-th vendor's offering.

The expression utilizes dynamic programming to calculate the maximum sugar consumption at each step. The variable m[i] stores the maximum sugar you can have up to the i-th vendor.

The expression considers two options: either including the sugar content of the current vendor (s[i]) or starting a new consumption from the current vendor.

To calculate m[i], we compare the sum of the maximum sugar consumption until the previous vendor (m[i-1]) and the sugar content of the current vendor (s[i]) with just the sugar content of the current vendor (s[i]). Taking the maximum of these two options ensures that m[i] stores the highest sugar consumption achieved so far.

By iterating through all the vendors and applying this expression, you can determine the maximum sugar you can gain from the street vendors and satisfy your sweet tooth.

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Answer:

y= -3/5m+4

Explanation:

what are you asking

Answer:

what is the poblem?

Step-by-step explanation:

Answer:

Y = 5x + 25

Step-by-step explanation:

$25 is the constant, meaning regardless of the time he spends, he will not pay more or less.

However, he pays 5 dollars for every hours (x) = 5x

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Because 20x9=180

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The probability that a family with 4 children has no more than 3 boys is 15/16.

To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.

The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.

Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴

= 15/16

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Answer:

Please look at the picture provided to see the correct triangle because each figure has no a,b, or c. Thanks

Critical angle for the total internal reflection icrit, β =  78.28⁰

Critical angle for the total internal reflection crit, α = 17,22⁰

We have the refractive index of core, \(n_c_o_r_e\) = 1.46

We have the refractive index of clad , \(n_c_l_a_d\) = 1.4

Critical angle can be defined as the incidence angle which results in the refraction angle being equal to  at that angle of incidence.

For Total Internal Reflection to occur, the incidence angle must be greater than the critical angle.

We know that the critical angle, θ is given by:

sinθ = \(\frac{n_c_l_a_d}{n_c_o_r_e}\)

sinθ = \(\frac{1.4}{1.46}\)

sinθ = 0.959 = sin⁻¹(0.979) = 78.28⁰

β = θ = 78.28⁰

Now, for α:

\(\frac{sin(90-\alpha )}{sin\alpha } = \frac{1}{n_c_o_r_e}\)

sinα = sin(90⁰-78.28⁰) × 1.46

sinα = sin(11.72⁰) × 1.46

α = sin⁻¹(0.296)

α = 17,22⁰

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Critical angle for total internal reflection icrit β = 78.28⁰

Critical angle for total internal reflection crit, α = 17.22⁰

The refractive index of the core is ncore = 1.46.

The refractive index of clad is nclad = 1.4.

We know that the critical angle, θ is given by:

sinθ = nclad/ ncore

sinθ = 1.4/1.46

sinθ = 0.959

sin⁻¹(0.979) = 78.28⁰

β = θ = 78.28⁰

Now, for α:

sin(90- α) / sin α = 1 / ncore

sinα = sin(90⁰-78.28⁰) × 1.46

sinα = sin(11.72⁰) × 1.46

α = sin⁻¹(0.296)

α = 17.22⁰

Critical angle for icrit β = 78.28⁰

Critical angle for crit α = 17.22⁰

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The electric potential at a specific point in this particular region of space is determined by the constants a, b, and c, as well as the distances z and x.

In a certain region of space, the electric potential is given by v = ay/x + bzx² + c.

Electric potential:

Electric potential refers to the amount of work done per unit charge when moving a positive test charge from infinity to a specific point within an electric field.

In the given region of space, the electric potential at a particular point is defined as v = ay/x + bzx² + c. This equation indicates that the electric potential at a point depends on three parameters, which are as follows:

a, b, and c: These are constants that determine the behavior of the electric potential in the region of space.

z: This variable represents the distance between the origin (reference point) and the point where the electric potential is to be measured.

x: This variable represents the distance of the point from the plane perpendicular to the z-axis at the origin, passing through the point.

Therefore, we can conclude that the electric potential at a specific point in this particular region of space is determined by the constants a, b, and c, as well as the distances z and x.

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Answer:

Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .

A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .

solution 2

Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.

In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in

minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .

Step-by-step explanation:

wewheres the picture?

the answer is:

9p = -3

p = -1/3

To factorize n=pq given (p−1)(q−1), one must first consider Euler's totient function.

The Euler's totient function or Euler's phi function is used to calculating the number of integers that are relatively prime to n. In other words, it returns the number of positive integers less than or equal to n that are relatively prime to n. It is usually denoted as φ(n), where n is the positive integer whose totient needs to be calculated.

Using Euler's totient function to factorize n=pq given (p−1)(q−1):

Euler's totient function is given by the following formula:

φ(n) = (p-1)(q-1)

Given (p−1)(q−1), we can calculate φ(n).

Thus, we have:φ(n) = (p-1)(q-1)n = pqφ(n) = (p-1)(q-1) = pq - (p + q) + 1φ(n) = pq - p - q + 1

Now, we can factorize n as follows:n = pq= p(q-1) + p= p(q-1) + (φ(n) - n + 1)= (p - 1)(q - 1) + n

Therefore, n can be factored as: n = (p - 1)(q - 1) + n

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Answer:

-10

Step-by-step explanation:

Step 1:

- 12 + 15 + 12 - 6 - 15 - 4 = n

Step 2:

- 6 - 4 = n

Answer:

-10 = n

Hope This Helps :)

Answer: A is the correct answer (an =2,250+250(n-1)

Step-by-step explanation:

I hope this helped have fun cheating on the mid terms baddiesss