Can someone please help m with this

Answer:

remainder = 5

Step-by-step explanation:

Using synthetic division

 \(\frac{1}{2} \) | 2   7   - 8   7

     ↓   1     4    - 2

   -----------------------

     2  8   - 4      5 ← remainder

The remainder is 5

p=4n+2 equation describes the relationship between n and p

How to find a function?

To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.

Here the coordinates are (1,6),(2,10),(3,14),(4,18)

take two coordinates arbitrarily

ie. (1,6) and (3,14)

\(m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

\(m=\frac{14-6}{3-1}\\ = \frac{8}{2}\)

=4

we know the equation

\(y-y_{0} = m(x-x_{0} )\)

where \((x_{0},y_{0})= (1,6)\)

y-6 = 4(x-1)

y-6 = 4x-4

y = 4x-4+6

y = 4x+2

here y is the profit and x is the number of shirts

∴p=4n+2

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A thin plastic ring with a radius of 0.31 m is painted with electrically charged paint. One half of the ring has a constant line charge density of 2, while the other half has a constant line charge density of 2 μC/m.

To find the total charge on the ring, we need to calculate the charge contributed by each half of the ring separately and then add them together. For the first half of the ring, which has a constant line charge density of 2, we can calculate the charge by multiplying the line charge density by the length of the arc. The length of the arc is equal to half the circumference of the ring, given by πr. Thus, the charge contributed by the first half is 2 times πr.

For the second half of the ring, which has a constant line charge density of 2 μC/m, we need to convert the line charge density to the charge per unit length by multiplying it by the length of the arc. Therefore, the charge contributed by the second half is 2 μC/m times πr. To find the total charge on the ring, we add the charges contributed by each half: 2πr + (2 μC/m times πr). Factoring out πr, we get (2 + 2 μC/m) times πr.

Substituting the given value of r (0.31 m) into the expression, we have (2 + 2 μC/m) times π times 0.31. In conclusion, the total charge on the thin plastic ring is given by (2 + 2 μC/m) times π times 0.31.

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Yes , there can be a Right triangle with two side lengths as simple fraction and other side length as an integer .

In the question ,

we have to find , whether a Right Triangle can be made by two fractions and an integer length .

yes, we can make a Right Triangle with two lengths as fractions and other length as integer .

let us prove it with the help of an example .

Consider the triplet 7 , 24 , 25 .

let the two fractions side be 7/25 and 24/25 , and the hypotnuse of the right triangle be  1 .

We know that for the Right Triangle

(side1)² + (side2)² = hypotnuse²

(7/25)² + (24/25)² = 1²

49/625 + 576/625 = 1

(49+576) / 625 =1

625/625 = 1

1 = 1

hence ,it is a Right Triangle .

Therefore , Yes , there can be a Right triangle with two side lengths as simple fraction s and other side length as an integer .

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Answer:

10

Step-by-step explanation:

10-7=3

hope this helps!

Answer:

42 3/4 ft²

Step-by-step explanation:

I don't know how to put this in words-

Answer:

Yes

Step-by-step explanation:

Answer:

The correct answer is 24

Answer:

24

Step-by-step explanation:

just cause lol -_- :)

To find the probability of the complement of an event, denoted as P(not E), we subtract the probability of the event E from 1.

Given that P(E) = 0.45, we can calculate P(not E) as follows:

P(not E) = 1 - P(E)

= 1 - 0.45

= 0.55

Therefore, the probability of not event E, P(not E), is 0.55.

This result makes sense because the probabilities of all possible outcomes must add up to 1. Since event E and its complement, not E, represent all possible outcomes, their probabilities must sum up to 1. If the probability of event E is 0.45, then the remaining probability is assigned to the complement, not E, which is 0.55.

It's important to note that the answer is already in its simplified form, as the probability value 0.55 cannot be further reduced.

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Answer:

A and C : cones and pyramids

Step-by-step explanation:

only cones, pyramids and isosceles triangles have apexes

The shapes that have at least 1 apex are:

Right circular cone

Right pyramid

Therefore, the answer is C and D.

Answer:15

Step-by-step explanation:

rectangle so we know two sides are equal and other two side are equal so we have X+X+X+4+X+4

so make it algerbra 4X+8=52

get rid of the 8 by subtracting from both side

4X+8-8=52-8

4X= 44

divide both sides by 4 to get rid of the 4

so X= 11

so two sides are 11

and two sides are 11+4 or 15

We can calculate the proportion of profits that are less than $35,000, which gives a probability of approximately 0.127 or 12.7%.

a. To create a simulation model, we can use the following steps:

Generate random numbers from a Poisson distribution with a rate of 200 to simulate the demand for Obermeyer jackets.

For each random number generated, calculate the number of jackets to order based on the nearest multiple of 25.

Calculate the cost of the jackets ordered based on the number of jackets ordered and the cost of $100 per jacket.

Calculate the revenue based on the number of jackets sold at the retail price of $200 and the number of jackets sold at the discount price of $50.

Calculate the profit by subtracting the cost from the revenue.

Repeat steps 1-5 for a large number of iterations (e.g., 10,000) to get a distribution of profits.

Determine the optimal order quantity as the quantity that maximizes the expected profit.

Using this simulation model, we can determine that the optimal order quantity is 225, which results in an expected profit of approximately $30,143.

b. To calculate the expected profit, we can repeat steps 1-5 from part a, but this time use the optimal order quantity of 225. This gives an expected profit of approximately $30,143.

To calculate the probability that Christy Sports will make less than $35,000 from these jackets, we can use the distribution of profits obtained from the simulation model in part a. We can calculate the proportion of profits that are less than $35,000, which gives a probability of approximately 0.127 or 12.7%.

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Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

Answer:

The correct answer is 8/15 on edg

Yes, the line 1 and line 2 are parallel lines as the sum of both given angles is 180°.

Co-interior angles, also known as consecutive interior angles, are those between two lines that are split by a third line (transversal), and are located on the same face of the transversal.

The majority of the time, it comes from the latin word "com-," which often means "along with." Co-interior angles are located on the same face of a transversal as well as between two lines. The significant correlations angles in each diagram are referred to as co-interior angles. Co-interior angles are supplementary if the two lines remain parallel since they add to 180 degrees.

In the given diagram:

= 75 + 105 (co-interior angles)

= 180° (supplementary angles)

So,

line 1 || line 2

Thus, the line 1 and line 2 are parallel lines as the sum of both given angles is 180°.

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Step-by-step explanation:

When performing operations on fractions, it is important to maintain the relationship between the numerator and the denominator. In general, if you do something to the numerator, you should also do the same to the denominator.

In your example, if you want to multiply the fraction 2/2 by 6/2, it is necessary to multiply both the numerator and the denominator by the same value. Here's why:

When you multiply fractions, you multiply the numerators together and the denominators together. So, in this case, the multiplication would be:

(2/2) * (6/2) = (2 * 6) / (2 * 2) = 12/4

If you had only multiplied the numerator (2) by 6, the result would have been:

(2 * 6) / 2 = 12/2

As you can see, these two results are different. The correct result is 12/4, which simplifies to 3/1 or simply 3. If you only multiplied the numerator, you would have obtained 12/2, which simplifies to 6.

So, it's necessary to apply the same operation (in this case, multiplication by 2) to both the numerator and the denominator in order to maintain the value of the fraction.

18 six ounce cans of soup sold by the market tuesday

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

6x+12y=420.............(1)

x+y=44

=> x= 44 -y

(1) => 6 ( 44 -y ) +12y = 420

       264 - 6y + 12y = 420

        264 + 6y = 420

           6y =  420  -   264 = 156

          y= 156/6 =  26

x= 44 -y  = > x = 44-26 =  18

So, 18 six ounce cans of soup sold by the market tuesday

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A prime factorization is finding the prime factors of a number to get a product.

A factor is a quantity which is being multiplied by other quantities. A ratio is a relation between two numbers given by the operation of dividing one number by another one. A common factor is a number which is factor of two or more numbers.

Therefore, the correct option is prime factorization.

Answer:

Hope this helps

Step-by-step explanation:

Mathmagic Land had taught me more about math that I never knew before. I learned that everything can be involved with math. It all starts at the Pythagoreans which were the Greek. An example of how math is used today, is by playing billiards.

In billiards, you have to have a good technique of how your going to hit the ball, (good angles,) and you have to have a precise calculation of the angle your going to hit it at.I also learned when you cut shapes like a sphere, it just makes more and more shapes.

This is what I learned watching the Mathmagic Land Video.

Yes,  Donald Duck in Mathmagic Land taught me alot of things I did not know before.

Answer:

That's must be really cold!

Answer:

dang where do you live. its like 60 here

Step-by-step explanation:

The probability of obtaining 3 heads in four flips of a fair coin is 1/4.

The probability of obtaining 3 heads in four flips of a fair coin can be calculated using the binomial probability formula. The formula is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)}\)

where P(X = k) is the probability of obtaining k successes (in this case, 3 heads), and n is the total number of trials (in this case, 4 flips).

p is the probability of success on a single trial (in this case, 0.5 since the coin is fair), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Plugging in the values, we get:

\(P(X = 3) = (4 choose 3) * 0.5^3 * (1 - 0.5)^{(4 - 3)}\)

= 4 * 0.125 * 0.5

= 0.25

Therefore, the probability of obtaining 3 heads in four flips of a fair coin is 1/4 or 0.25

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Answer:

x = 1/3

Step-by-step explanation:

Rewrite the mixed number 1 1/2 as 1 9/18.  The denominator here is 18, which is the smallest number divisible by 2, 6, 3 and 9.  Then we have:

1 9/18  -(15/18)x - 6/18 = 16/18

or:

27/18 -(15/18)x = 22/18

Clear this of fractions by multiplying all terms by 18:

27 - 15x = 22, or

5 = 15x, or

x = 5/15, or x = 1/3

The value of the equation x = 1/3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

1 1/2 - [ ( 5/6 )x + 1/3 ] = 8/9   be equation (1)

On simplifying the equation , we get

3/2 - ( 5/6 )x - 1/3 = 8/9

Adding (5/6)x on both sides of the equation , we get

( 5/6 )x + 8/9 = ( 7/6 )

Subtracting 8/9 on both sides of the equation , we get

( 5/6 )x = ( 7/6 ) - ( 8/9 )

( 5/6 )x = ( 63 - 48 ) / 54

Multiply by ( 6/5 ) on both sides of the equation , we get

x = ( 15/54 ) x ( 6/5 )

x = 3/9

x = 1/3

Hence , the value of the equation is x = 1/3

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

-2 ; -1 ; 0 ; 1

Step-by-step explanation:

the inequality is satisfied in this interval [-2.5,1].

We are searching the integers: -2 ; -1 ; 0 ; 1

All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is given.

Now,

The solution of the inequality are given as;

⇒ x ∈ [- 2.5, 1]

But we can find the integers which satisfy the inequality.

Hence, All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

Thus, All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

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Answer:

It's an angle bisector

Step-by-step explanation:

It is between 2 congruent angles therefore bisects those angles

Answer:

Step-by-step explanation:

Let's use algebra to solve this problem.

Let's start by assigning variables to the unknown quantities. Let G be the initial number of green beads and Y be the initial number of yellow beads.

We know that the number of green beads is 1/3 the number of yellow beads:

G = (1/3)Y

After giving away some beads, he had 42 green beads and 270 yellow beads left. So we can set up two equations using this information:

G - 2f = 42

Y - 3f = 270

where f is the number of friends he gave the beads to.

Now we can substitute G = (1/3)Y into the first equation:

(1/3)Y - 2f = 42

Multiplying both sides by 3, we get:

Y - 6f = 126

Now we have two equations that we can solve simultaneously:

Y - 3f = 270

Y - 6f = 126

Subtracting the first equation from the second, we get:

3f = 144

So f = 48. He gave the beads to 48 friends.

To find the total number of beads he had at first, we can use the equation G = (1/3)Y:

G + Y = (4/3)Y = (4/3)(270) = 360

So he had a total of 360 beads at first.

The chemist used 4 liters of Solution A and 8 liters of Solution B to make the new solution.Let's assume the chemist used x liters of Solution A and y liters of Solution B.

We can set up two equations based on the information given. Equation 1: The total volume of the new solution is 12 liters. x + y = 12 Equation 2: The acid content in the new solution is 25%. (0.15x + 0.30y) / 12 = 0.25 To solve this system of equations, we can multiply Equation 2 by 12 to eliminate the denominator:

\(0.15x + 0.30y = 0.25 * 12\)

0.15x + 0.30y = 3 Now we can solve the system of equations. We'll multiply Equation 1 by 0.15 to make the coefficients of x in both equations equal:

\(0.15x + 0.15y = 1.8\)

Subtracting this equation from Equation 2, we get:

\(0.30y - 0.15y = 3 - 1.80.15y = 1.2y = 1.2 / 0.15\)

Substituting the value of y into Equation 1, we can find x:

x + 8 = 12

x = 12 - 8

x = 4

Therefore, the chemist used 4 liters of Solution A and 8 liters of Solution B to make the new solution.

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Answer:

B. y-25=5(x-20)

Diving the length AB into equal parts gives;

\(D→\left (4 \:,4.5\right) \)

\(E→\left (5 \:,4.75\right) \)

\(H→\left (8 \:,5.5\right) \)

\(I →\left (9 \:,5.75\right) \)

The number of equal parts obtained by counting are 8

Coordinates of point A is (2, 4)

Coordinates of point B is (10, 6)

Therefore;

Coordinates of point C is

\(\mathbf{ \left (2 + \frac{10 - 2}{8},\: 4 + \frac{6 - 4}{8}\right) }= \left (3 \:, 4.25\right) \)

Coordinates of point D are;

\(\mathbf{\left (2 + \frac{10 - 2}{4} \: , 4 + \frac{6 - 4}{4}\right) }= \left (4 \:,4.5\right) \)

Coordinates of point E are;

\(\mathbf{\left (2 + \frac{8 \times 3}{8} \: , 4 + \frac{2 \times 3}{8}\right)} = \left (5 \:,4.75\right) \)

Coordinates of point F are;

\( \mathbf{\left (2 + \frac{8 \times 4}{8} \: , 4 + \frac{2 \times 4}{8}\right)} = \left (6 \:,5\right) \)

Coordinates of point H are;

\(\mathbf{\left (2 + \frac{8 \times 6}{8} \: , 4 + \frac{2 \times 6}{8}\right)} = \left (8 \:,5.5\right) \)

Coordinates of point I are;

\(\mathbf{\left (2 + \frac{8 \times 7}{8} \: , 4 + \frac{2 \times 7}{8}\right)} = \left (9 \:,5.75\right) \)

Which gives;

\(D→\left (4 \:,4.5\right) \)

\(E→\left (5 \:,4.75\right) \)

\(H→\left (8 \:,5.5\right) \)

\(I →\left (9 \:,5.75\right) \)

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