Students in the fifth-grade class bought 30 yards of fabric to make pennants for a pep rally. Each pennant requires 1/3 yard of fabric. If the students have already made 35 pennants from the fabric, how many more pennants can they still make? *

Answer:

y = 5/3x + 4

Step-by-step explanation:

First, you need to find the slope. Use the slope formula of (y^2-y^1) / (x^2 - x^1).

Plug the numbers in.

(4 - (-1)) / (0 - (-3))

5 / 3

Slope is 5/3

Now, you have an equation of y = 5/3x + b.

Since one of the points shows you what y equals when x=0, that is your y intercept.

Answer:

6 and 50 minutes I counted right

Answer: non metals F and H, fluorine has high electronegativity and tend to gain one electron. Hydrogen form she compounds with non-metals and metals.

Metals Cs and K, lose easily one outer electron. Electron is far away from nucleus and atom donates it easily.

The periodic table is composed of metals and nonmetals.

The right wing of the period table contains mostly of nonmetals. However, there are a few metals in the right wing of the periodic table. The periodic table is largely made up of metals and nonmetals.

The two most active metals in the right wing of the periodic table are bismuth and lead while the two most active nonmetals in the right wing of the periodic table are fluorine and chlorine.

Learn more: https://brainly.com/question/25114219?

well, we know she makes $310 flat regarldess of how much she sells, and then on top of that 7.5% on commission, now, if she sold 4500 bucks of merchandise, hmmm how much is 7.5% of 4500?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.5\% of 4500}}{\left( \cfrac{7.5}{100} \right)4500}\implies 337.5~\hfill \underset{total~made~that~week}{\stackrel{310~~ + ~~337.5}{\text{\LARGE 647.5}}}\)

Answer:

662.50 dollars

Step-by-step explanation:

If she doesn’t sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.

If she does make sales, then she’ll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%

In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,

0.075x+310 = 0.075*4700+310 = 662.50

She earned 662.50 dollars for that week.

The next four terms in the geometric sequence are 500, 100, 20 and 4

Sequence is a set or series of related items or events in a particular order. It can refer to a number of different things, such as a set of numbers, a set of events, or a set of objects. In mathematics, a sequence is a series of numbers or other mathematical objects that follow a particular pattern.

In the given problem, the sequence is;

312,500, 62,500, 12,500, 2,500

This is most likely a geometric sequence and we have to find the common ratio.

r = 62500 / 312500 = 0.2 or 2500 / 12500 = 0.2

The common ratio is 0.2

The next term will be the 5th term

Tₙ = arⁿ⁻¹

T₅ = ar⁴

a = first term = 312500

T₅ = 312500(0.2)⁴

T₅ = 500

The next term is 6th term

T₆ = ar⁵

T₆ = 312500(0.2)⁵

T₆ = 100

T₇ = ar⁶

T₇ = 312500(0.2)⁶

T₇ = 20

T₈ = 312500(0.2)⁷

T₈ = 4

Learn more on sequence here;

https://brainly.com/question/6561461

#SPJ1

Answer

false

true

false

false

The vectors v1 = (1, c, 0), v2 = (1, 0, 4), and v3 = (0, 1, -c) are linearly independent for all values of c except when c = 0.

To determine the values of c for which the vectors v1 = (1, c, 0), v2 = (1, 0, 4), and v3 = (0, 1, -c) are linearly independent, we need to check if there exists a non-trivial solution to the equation:

a1v1 + a2v2 + a3*v3 = 0

where a1, a2, and a3 are scalars, not all equal to zero.

Substituting the vectors into the equation, we have:

a1*(1, c, 0) + a2*(1, 0, 4) + a3*(0, 1, -c) = (0, 0, 0)

Expanding this equation component-wise, we get:

(a1 + a2, a1, 4a2 - a3c) = (0, 0, 0)

From the first component, we have a1 + a2 = 0, which implies a1 = -a2.

From the second component, we have a1 = 0, which means a1 must be zero.

Combining these two conditions, we find a1 = a2 = 0.

Now, let's look at the third component:

4a2 - a3c = 0

Since a2 = 0, the equation simplifies to -a3*c = 0.

This equation holds for any value of c as long as a3 = 0. Therefore, we conclude that the vectors v1, v2, and v3 are linearly independent for all values of c except when c = 0.

To learn more about linearly independent here:

https://brainly.com/question/32548328

#SPJ4

Answer:

The first option is the right one.

Step-by-step explanation:

7/2. Rate is rise/run

7 is your rise

and 2 is your run

therefore, the answer is 7/2

The number of monic polynomials of degree n in Fp[x] that do not take on the value 0 for x ∈ Fp is pⁿ - 1.

The number of monic polynomials of degree n in Fp[x] is pⁿ. In this case, "monic" means that the coefficient of xⁿ is 1.

In Fp[x], there are p possible values for the coefficient of each power of x, from x⁰ to xⁿ. Hence, there are pⁿ possible polynomials of degree n.

The number of polynomials that do not take on the value 0 for x ∈ Fp is pⁿ - 1 because if a polynomial is zero for all values of x in Fp, then it must be the zero polynomial. The zero polynomial is not counted because it is not monic, as it has a coefficient of 0 for the xⁿ term.

So, the number of monic polynomials of degree n in Fp[x] that do not take on the value 0 for x ∈ Fp is pⁿ - 1.

To know more about monic polynomials, here

https://brainly.com/question/30117170

#SPJ4

The position of point L is halfway between points K and L

The line segment is given as:

JK

This means that the endpoints of the line are:

J and K

Also, we have:

JL = LK

So, we have:

JK = JL + LK

Substitute JL = LK

JK = JL + JL

This gives

JK = 2JL

Divide by 2

JL = 1/2 JK

Hence, the position of point L is halfway between points K and L

Read more about number line at:

https://brainly.com/question/4727909

#SPJ1

Answer:

f(m+n+p) = 9^(m+n+p)

while f(m) × f(n) × f(p) = 9^m+9^n+9^p = 9^(m+n+p)

so the second property explains why it's a + instead of ×

Answer:

least to greatest

|y-z|

|x-y|

|x-z|

z

Step-by-step explanation:

The Synthetic Division gives the Quotient =  7x² -4x + 5 and Remainder = 8.

Instead of using the usual long division algorithm, synthetic division is a faster way to divide two polynomials. The dividend and divisor polynomials are reduced using this technique to a collection of numerical values.

Given:

(7x³-25x² +17x -7) divided by (x-3).

So, Synthetic Division is as follows:

                                          (x-3) | (7x³-25x² +17x -7) | 7x² -4x + 5

                                                     7x³-21x²

                                                  _________

                                                            -4x² + 17x

                                                            -4x² + 12x        

                                                     _______________

                                                                         5x - 7              

                                                                          5x - 15

                                                                        ________

                                                                                8

                                                                         ________

Learn more about Synthetic Division here:      

https://brainly.com/question/11954802

#SPJ9                                                                    

Enzo's net worth = Enzo's assets - Enzo's liabilities. The resulting number is his net worth.

Enzo's net worth = (Enzo's cash + Enzo's investments + Enzo's property + Enzo's other assets) - (Enzo's loans + Enzo's credit card debt + Enzo's other liabilities)

Enzo's net worth is calculated by subtracting his liabilities from his assets. Enzo's assets include cash, investments, property and other assets he may own. His liabilities include any loans he has taken out, any credit card debt, and any other liabilities he may have. To find Enzo's net worth, you would add up all of his assets and subtract from that all of his liabilities. The resulting number is his net worth.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

There are 34 cows will graze the same field in 10 days.

We have to given that;

55 cows can graze a field in 16 days.

Since, Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Let us assume that,

Number of cows graze the same field in 10 days = x

Hence, By proportion we get;

55 / 16 = x / 10

Solve for x;

550 / 16 = x

x = 34

Thus, There are 34 cows will graze the same field in 10 days.

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ1

The value of   Sin(a + b) =   \(-\frac{3+4\sqrt{15} }{20}\) and value of

Cos (a -b) = 119/400

Given,

In the question;

Sin(a) = 1/4 and cos(b) = -3/5

with a and b both in the interval [\(\frac{\pi }{2} ,\pi\))

To find the sin(a + b) and cos (a - b)

Now, According to the question:

We know that :

Sin (b) =   \(\sqrt{1-cos^2b}\) = 4/5

Cos (a) = - \(\sqrt{1-sin^2a} = - \frac{\sqrt{15} }{4}\)

∴ Sin(a + b) = Sin(a) Cos(b) + Cos(a) Sin(b)

  Sin(a + b) = 1/4. (-3/5) + \(-(\frac{\sqrt{15} }{4} )\) . 4/5

   Sin(a + b)  =   \(-\frac{3+4\sqrt{15} }{20}\)

∴ Cos (a -b) = \(cos^2a -sin^2b\)

Cos (a -b) = \((-\frac{\sqrt{15} }{4} )^2\) - \((\frac{4}{5} )^2\)

Cos (a -b) = 119/400

Hence, The value of   Sin(a + b) =   \(-\frac{3+4\sqrt{15} }{20}\) and value of

Cos (a -b) = 119/400 .

Learn more about Trigonometric Function at:

https://brainly.com/question/26989297

#SPJ1

The graph of y=3x^4-16x^3+24x^2+48 is concave down for x values greater than or equal to 0.

The graph of y=3x^4-16x^3+24x^2+48 is an example of a polynomial function. To determine the concavity of a polynomial function, we must first identify the intervals where the function is increasing and decreasing. In this case, the function is increasing for all x values greater than or equal to 0.

Next, we must find the second derivative and determine the intervals where the second derivative is negative. If the second derivative is negative, then the graph is concave down. For this polynomial, the second derivative is y'' = -48x + 48, which is negative for all x values greater than or equal to 0. This means that the graph of y=3x^4-16x^3+24x^2+48 is concave down for all x values greater than or equal to 0.

Learn more about Graphs here:

https://brainly.com/question/24335034

#SPJ4

The height of the new prism so that its surface area is doubled will be 26.31 cm.

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

A right rectangular prism measures 12 cm tall, 3 cm long, and 10 cm wide. A manufacturer would like to double the surface area of this prism.

Then the height of the new prism so that its surface area is doubled will be given as,

2 x 2 x (12 x 3 + 3 x 10 + 10 x 12) = 2(3h + 3 x 10 + 10h)

2(36 + 30 + 120) = 13h + 30

372 = 13h + 30

13h = 342

h = 26.31 cm

The height of the new prism so that its surface area is doubled will be 26.31 cm.

More about the surface area of the rectangular prism link is given below.

https://brainly.com/question/14987814

#SPJ1

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

The measure of lengths of the triangle is solved and x = 10√3 units and y = 10 units

Given data ,

Let the triangle be represented as ΔABC

where the measure of angle ∠ACB = 60°

So, from the trigonometric relations , we get

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

So, sin 60° = x / 20

x = 20 ( √3/2 )

x = 10√3 units

And , cos 60° = y / 20

y = ( 1/2 ) x 20

y = 10 units

Hence , the lengths of the triangle are x = 10√3 units and y = 10 units

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ1

Answer:

x=y-2

y=x-2

Step-by-step explanation:

Answer:

the third distribution

Answer:

the vertex is (-6,8)

axis of symmetry is x=-6

all i can do for now

Step-by-step explanation:

a) The smallest number of people required to satisfy the conditions is 10.

b) The next smallest number of people required to satisfy the conditions is 70.

This is a problem of finding the least common multiple (LCM) of three numbers with given remainders. The LCM is the smallest number that is divisible by all three numbers and leaves the given remainders.

Let's call the number of people "n". We know that

n ≡ 1 (mod 3)

n ≡ 2 (mod 4)

n ≡ 3 (mod 5)

To find the LCM, we can use the Chinese remainder theorem or a simpler method is to use trial and error starting from the given remainders.

Starting from n ≡ 1 (mod 3), we can add multiples of 3 until we find a number that satisfies the other two conditions. Trying n = 4, 7, 10, ... we find that n = 10 satisfies all three conditions

10 ≡ 1 (mod 3)

10 ≡ 2 (mod 4)

10 ≡ 3 (mod 5)

Therefore, the smallest number of people required to satisfy the conditions is 10.

To find the next smallest number, we can add the LCM of 3, 4, and 5 to 10. The LCM of 3, 4, and 5 is 60, so the next smallest number is 70

70 ≡ 1 (mod 3)

70 ≡ 2 (mod 4)

70 ≡ 3 (mod 5)

Therefore, the next smallest number of people required to satisfy the conditions is 70.

Learn more about least common multiple  here

brainly.com/question/30060162

#SPJ4

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

To know more about equilibrium refer here:

https://brainly.com/question/14281439?#

#SPJ11

Answer:

5

Step-by-step explanation:

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

For more references on divisions, click;

https://brainly.com/question/21416852

#SPJ2

Answer: i believe your answer is Point S.

Hope this helped!