Help need please!!!

Answer:

Step-by-step explanation:

From your equations in Part A, we can write the matrix equation as ...

  [tex]\left[\begin{array}{ccc}9&3&1\\25&5&1\\36&6&1\end{array}\right] \cdot\left[\begin{array}{c}a&b&c\end{array}\right] = \left[\begin{array}{c}8&\frac{20}{3}&5\end{array}\right][/tex]

For the purpose of finding the inverse matrix (which we don't really need to do to solve this), it is convenient to use an augmented matrix that will give both the matrix inverse and the solution.

  [tex]\left[\begin{array}{ccc|ccc|c}9&3&1&1&0&0&8\\25&5&1&0&1&0&\frac{20}{3}\\36&6&1&0&0&1&5\end{array}\right][/tex]

For the first step in the solution, we'll divide the first row by 9, then subtract 25 times that from the second row, and 36 times that from the third row. The goal of this step is to make the first column be 1, 0, 0. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&\frac{1}{3}&\frac{1}{9}&\frac{1}{9}&0&0&\frac{8}{9}\\0&-\frac{10}{3}&-\frac{16}{9}&-\frac{25}{9}&1&0&-\frac{140}{9}\\0&-6&-3&-4&0&1&-27\end{array}\right][/tex]

For the second step in the solution, we'll multiply the second row by -3/10, then subtract 1/3 times that from the first row and add 6 times that to the third row. The goal of this step is to make the second column be 0, 1, 0. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&0&-\frac{1}{15}&-\frac{1}{6}&\frac{1}{10}&0&-\frac{2}{3}\\0&1&\frac{8}{15}&\frac{5}{6}&-\frac{3}{10}&0&\frac{14}{3}\\0&0&\frac{1}{5}&1&-\frac{9}{5}&1&1\end{array}\right][/tex]

For the third step in the solution, we'll multiply the third row by 5, then add 1/15 of that to the first row and -8/15 of that to the second row. The goal of this step is to make the third column be 0, 0, 1. The result is ...

  [tex]\left[\begin{array}{ccc|ccc|c}1&0&0&\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}&-\frac{1}{3}\\0&1&0&-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}&2\\0&0&1&5&-9&5&5\end{array}\right][/tex]

The middle section of this augmented matrix is the inverse of the coefficient matrix:

  [tex]A^{-1}=\left[\begin{array}{ccc}\frac{1}{6}&-\frac{1}{2}&\frac{1}{3}\\-\frac{11}{6}&\frac{9}{2}&-\frac{8}{3}\\5&-9&5\end{array}\right][/tex]

The right section of the augmented matrix is the solution set:

  [tex]X=\left[\begin{array}{c}a\\b\\c\end{array}\right]=\left[\begin{array}{c}-\frac{1}{3}\\2\\5\end{array}\right][/tex]

__

The equation of the parabola is ...

  [tex]\boxed{y=-\dfrac{1}{3}x^2+2x+5}[/tex]

__

The ball will hit the ground when y=0. The values(s) of x can be found from the quadratic formula:

  x = (-b±√(b²-4ac))/(2a) = (-2±√(2²-4(-1/3)(5)))/(2(-1/3))

  x = (2 ± √(32/3))/(2/3) = 3±√24 = {-1.899, 7.899}

It will take about 7.90 seconds for the ball to hit the ground.

Answer:

235

Step-by-step explanation:

We have ED is 95.

We can find EC by 180-40 = 140

So DEC = 95+140=235

Answer:

236

Step-by-step explanation:

Answer:

A.) P^2 - 10p + 24 = 0

B.) 6 or 4 dollars

Step-by-step explanation:

Given that a company’s weekly revenue, in thousands, is modeled by the equation

R = -p2 + 14p,

where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.

If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.

Therefore,

-P^2 + 14p = 4p + 24

Collect the like terms

-P^2 + 14p - 4p - 24 = 0

-P^2 + 10p - 24 = 0

Multiply all by minus sign

P^2 - 10p + 24 = 0

B.) To find P, factorize the equation above.

P^2 - 10p + 24 = 0

- 6 x - 4 = 24 and - 6 - 4 = 10

P^2 - 4p - 6p + 24 = 0

P( p - 4 ) - 6( p - 4 )

P - 6 = 0 or p - 4 = 0

P = 6 or 4

Substitute both back into the equation to test their authenticates

When p = 6

6^2 - 10(6) + 24 = 0

When p = 4

4^2 - 10(4) + 24 = 0

Answer:

P=2x +2y

2x=2y-p

As given that 2x=2(10)+88

x=108/2

x=54cm

May be it's help you;)

Answer:

The length of each of the two equally long sides is 26 cm

The length of the longer side is 36 cm

Step-by-step explanation:

Let the length of each of the two equal sides be represented by x

The other side = 10 + x

Perimeter of triangle (P) = sum of all sides of the triangle

88 = x + x + 10 + x

88 = 3x + 10

3x = 88 - 10

3x = 78

x = 78/3 = 26

Length of each of the two equally long sides (x) = 26 cm

Length of the longer side = 10 + x = 10 + 26 = 36 cm

Explanation:

RB and SB are 22 units. Since they are both equal, this means the chords NL and OQ are the same length. This is true whenever the chords are the same distance away from the center.

NL = 28, so OQ = 28 as well.

Furthermore, the radius BP cuts chord OQ in half (because BP is perpendicular to OS), which means OS = 28/2 = 14. We are also told that OS = 4x-22

Therefore,

4x-22 = 14

4x = 14+22

4x = 36

x = 36/4

x = 9

Answer:

25 in ^2

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = 3.14 ( 4.3)^2

A =58.0586

The take the fraction of the circle that is shaded

A circle is 360 degrees

155/360

155 /360 * the  total area = area shaded

31/72 * 58.0586 = 24.99745278 in ^2

Rounding yields 25 in ^2

Answer:

25[tex]in^2[/tex]

Step-by-step explanation:

To find the area we need to use the expression [tex]\frac{x}{360}[/tex] · [tex]\pi r^2[/tex]

When you substitute and solve you should get 25[tex]in^2[/tex]

Answer:

the answer is c

Step-by-step explanation:

when expanded the first three coefficients are 1 4 6

Answer:   CCCCCc

1,4 and 6

Step-by-step explanation:

Answer:

its 3 units.

Step-by-step explanation:

Answer: 3 units

Step-by-step explanation:

Points A and B have the same y value.  Thus, subtract the x-values from each other to get 5 - 2 = 3.

Hope it helps <3

Answer:

The answer you get is x=-3, and y=5 or (-3,5)

Step-by-step explanation:

3x+y=-4 and 5x-2y = -25.

Firstly,  to solve the equation let's use the multiplication method.

5x-2y=-25 (Multiply by 1)

3x+y=-4     (Multiply by 2)

=

5x-2y=-25

+6x+2y=-8

=

11x=-33

x=-3

We know that x=-3, now we can find y by substituting this value into other equations.

5(-3)-2y=-25

-15-2y=-25

+15      +15

-2y=-10

y=5

The answer you get is x=-3, and y=5 or (-3,5)

Answer:

Policy 2

Step-by-step explanation:

I just took the test and got it right

Answer:

- 0.8

Step-by-step explanation:

The first thing we want to do here is simplify the expression -

[tex]\frac{3}{5}[/tex]( 2x + 5 ) - 2x, Distribute the " [tex]\frac{3}{5}[/tex] " to elements within the parenthesis

= [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 - 2x, Focus on simplifying the expression " [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 "

= [tex]2\cdot \frac{3}{5}x+5\cdot \frac{3}{5}[/tex] - 2x

= [tex]\frac{6x}{5}+3[/tex] - 2x, Combine fractions

= [tex]-\frac{4x}{5}[/tex] + 3

= [tex]-\frac{4}{5}[/tex]x + 3

So we have our simplified expression "  [tex]-\frac{4}{5}[/tex]x + 3, " with [tex]-\frac{4}{5}[/tex] being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,

- 4 / 5 = - 0.8,

Solution = - 0.8

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560  (nearest integer)

Answer:

The correct answer is A. 600 square centimetres

Step-by-step explanation:

Let's recall that the formula of the surface area of a cube is:

A = 6s², where s  is the side length of the cube.

Replacing with the value we know, we have:

A = 6 * 10²

A = 6 * 100

A = 600 square centimetres

The correct answer is A. 600 square centimetres

Answer:

242,000 is the present value of the house.

Step-by-step explanation:

Answer:

242,000 represents the value of the house

Step-by-step explanation:

Answer:

(x + 3.5 ) / (x - 4 )  = 20 / 8

8x + 28 = 20x -80

12x = 108

x = 9

Step-by-step explanation:

Answer:

The correct option is x = 12

Step-by-step explanation:

An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.

A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs

In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.

From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

The given curve represents a function which is defined for all value fo x except 12.

The following information can be extracted from the graph of the function;

Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

For more details, refer to the link:

https://brainly.com/question/23535769

Hey there! I'm happy to help!

PART A

When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.

We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.

The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.

But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.

5040/2=2520

There are 2520 ways you can arrange the word WHISKAS.

PART B

Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one  specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.

PART C

Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.

Have a wonderful day!

For question 7, the output from left to right is:

20, 30, 40,  50, 60

For question 9, the output from left to right is:

6, 12, 18, 24

Explanation:

Using the rule (10=d-b) we can just add 10 to the input.

The same thing results with #9. We just need to add 4 to the input so that in the end u(output)-g(input)=4.

Hope this helps!! <3

Answer:

Step-by-step explanation:

7. Rule: 10=d-b

20-10=10

30-10=20

40-10=30

50-10=40

60-10=50

9. Rule: u-g=4

6-2=4

12-4=8

18-4=14

24-4=20

HOPE THIS HELPS!!!!!:)

A cdefghijklmnop

Step-by-step explanation:

Answer:

option a) multiply by 1/2

Step-by-step explanation:

2, 1 , 1/2 , 1/4 ....

Common ratio = 2nd term ÷ 1st term

                        = (1/2)÷ 1

                        = 1/2

Each term is obtained by multiplying by (1/2) with the previous term

Answer:

A) [tex]\boxed{\sf 700 \ pepperoni \ pizzas}[/tex]

B) See the attached file!

Step-by-step explanation:

Total pizza sales in the pie chart = 175+60+35+130

=> 400 total Pizzas

Out of these 400, there are 175 pepperoni pizzas

So,

Pepperoni Pizzas = 175/400 = 7/16 (Simplest form)

So,

Among 1600 pizzas, pepperoni pizzas would be:

=> [tex]\frac{7}{16} * 1600[/tex]

=> 7 * 100

=> 700 pepperoni pizzas

Part B)

See the attached file:

Answer:

[tex]\sf a) \ 700 \\ b) \ \sf view \: attachment[/tex]

Step-by-step explanation:

Part A:

Calculate the total parts:

[tex]130+175+60+35[/tex]

[tex]=400[/tex]

Out of 400 pizzas, 175 are pepperoni.

[tex]\frac{175}{400}[/tex]

The sales remain constant, if the total number of sold pizzas reaches 1600 then:

[tex]\frac{175}{400} \times 1600[/tex]

[tex]=700[/tex]

Out of the 1600 pizzas sold, 700 would be pepperoni.

Part B:

(attachment)

Pepperoni pizza:

[tex]\frac{200}{200+100+50+50} =\frac{1}{2}[/tex]

Hamburger pizzas:

[tex]\frac{100}{200+100+50+50} =\frac{1}{4}[/tex]

Veggie and cheese pizzas:

[tex]\frac{50}{200+100+50+50} =\frac{1}{8}[/tex]

Answer:

31t 2,446 lb 2oz

Step-by-step explanation:

24t+7t=31t

1,507+938=2,445 lb

12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)

31t+2,445 lb+1 lb + 2oz=

31t 2,446 lb 2oz

Answer:

9

Step-by-step explanation:

Speed of the train is:

And average speed is:

Comparing the two above, we see  y= 9

Answer: try and use socratic its  an app it will help you find ways to get answers for the graph its simple and easy

Step-by-step explanation:

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

Answer:

Step-by-step explanation:

The number of hours worked, h, could be zero or greater:  [0, 40), where "40" is the upper cap on the number of hours she works.

The range consists of all possible total earnings amounts:  [$0, $1000).

Answer:

Max would be 4y meters ahead by 4pm

Step-by-step explanation:

What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.

Mathematically, distance = speed * time

The time is just the difference between 12 noon and 4pm which is 4 hours

Let’s tackle Max’s

He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters

Now let’s tackle Sven

Sven is biking at a speed which is y mph less than Max’s x mph

Thus his speed would be (x-y) mph

His distance covered would be 4(x-y) meters

Now the difference between their bikes distance at 4pm would be;

4x - [4(x-y)]

= 4x -(4x -4y)

4x -4x + 4y

= 4y

Hence, Max would be 4y meters ahead by 4pm

By 4 pm, Max would be 4y meters far ahead of Sven.

Distance is defined as the product of speed and time.

distance = speed × time

To determine the difference in the distance they have covered by 4 pm given the speed at which they traveled.

Given that, Max and Sven bike away from home in the same direction starting at noon

The time is the difference between the 4 hours between noon and 4 o'clock.

Max's current speed of x km/h,

The distance he would have traveled by 4 pm as

⇒ 4 × x

⇒ 4x meters

Max is biking at x mph while Sven is going y mph slower.

Max would therefore be going at (x-y) mph.

Max's distance covered would be 4(x-y) meters

At 4 p.m., the distance between their bikes would be as:

⇒ 4x - [4(x-y)]

⇒ 4x -(4x -4y)

⇒ 4x -4x + 4y

⇒ 4y

Hence, By 4 pm, Max would be 4y meters far ahead of Sven.

Learn more about distance here:

brainly.com/question/13269893

#SPJ2

Answer:

Vinegar: 40 milliliters

Italian dressing: 280 milliliters

Step-by-step explanation:

I jus took the test :)

Answer:

70 years

Step-by-step explanation:

35 years before Christ and then another 35 years after:  35 + 35 = 70 years

Answer:

179,5 inches³

Step-by-step explanation:

Hello !

d = 2r => r = d/2 = 7in/2 = 3.5 inches

V = 4π·r³/3

= 4·3.14·(3.5in)³/3

= 538.51in³/3

≈  179,5 inches³

Answer:

Bob makes 15 dollars an hour mowing lawns.

The graph would be a straight line with a slope of 15.

Step-by-step explanation:

The Constant of Proportionality is y=kx, where k is the constant.  A real world example would be:

Bob makes 15 dollars an hour mowing lawns.  (y=15x)

The graph would be a straight line with a slope of 15.

Answer:

graph b and d

Step-by-step explanation:

because they pass the vertical line test.