To tie-dye one T-shirt 3/8 cup of dye is needed. the table shows the number of cups of each color of dye in Mr. Galvez's art class. how many t-shirts can be made using only orange dye?

Amount of Dye
red: 12
orange:3/4

Answer:

y=-3(x-2)^2+4

Step-by-step explanation:

The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.

To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4   or  a = -3

So the full equation is y = -3(x-2)^2 + 4

Hey!

For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)

This way, it will be able to graph and get the answers quicker!

The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).

Answer:

Step-by-step explanation:

y - 3 = x - 5

y = x - 2

option 1 is the answer

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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Answer:

You have $126 saved and you've been saving for 28 weeks

Step-by-step explanation:

Answer:

In 2009 there would be 1,286,153,286 computers.

Step-by-step explanation:

Given that a computer industry expert reported that there were about 600 million computers in use worldwide in 2001 and that the number was increasing at an annual rate of about 10%, to determine how many computers would there have been worldwide in 2009, the following calculation must be done:

2002 = 600 x 1.1 = 660

2003 = 660 x 1.1 = 726

2004 = 726 x 1.1 = 798.6

2005 = 798.6 x 1.1 = 878.46

2006 = 878.46 x 1.1 = 966.306

2007 = 966.3 x 1.1 = 1,062.9366

2008 = 1,062.93 x 1.1 = 1,169.23026

2009 = 1,169.23026 x 1.1 = 1,286.153286

1,286.153286 x 1,000,000 = 1,286,153,286

Thus, in 2009 there would be 1,286,153,286 computers.

this is

solution: equation is true for all n

Answer:\(t= -\frac{7}{2}\)

Step-by-step explanation:

\(=t+\frac{3}{2}=-2\\=t=-2-\frac{3}{2} \\=t=-\frac{7}{2}\)

Solution:

To solve this problem, we will use PRT/100.

Where:

1. Converting the number of months into years.

\(\bullet \ \ 1 \ \text{year} = 12 \ \text{months}\)

\(\bullet \ \ \rightarrow \text{x years = 12x months = 18 months}\)

\(\bullet \ \ \rightarrow \frac{12x}{12} = \frac{18}{12}\)

\(\bullet \ \ \rightarrow x = 1.5 \ \text{years}\)

2. Using PRT/100:

\(\bullet \ \ \rightarrow \dfrac{P \times R \times T}{100}\)

\(\bullet \ \ \rightarrow \dfrac{1900 \times 5.9 \times 1.5}{100}\)

\(\bullet \ \ \rightarrow19 \times 5.9 \times 1.5}\)

\(\bullet \ \ \rightarrow \boxed{\$168.15}\)

Thus, the interest will be \(\bold{\$168.15}\).

Answer:

Step-by-step explanation:

15x13=?

15+15+1=31

so the answer is 31

let's firstly convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\left( \cfrac{9}{4} \right)\implies -\cfrac{11}{3}+\cfrac{9}{4}\implies \cfrac{-(4)11~~ + ~~(3)9}{\underset{\textit{using this LCD}}{12}} \\\\\\ \cfrac{-44+27}{12}\implies \cfrac{-17}{12}\implies {\Large \begin{array}{llll} -1\frac{5}{12} \end{array}}\)

Answer:

Step-by-step explanation:

25 + 14 / (5-3)

25 + 14 / 2

25 + 7

32

Answer:

(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.

**

let t=seconds after wheel starts to rotate.

let h=meters above ground after wheel starts to rotate

..

The formula I got: h(t)=20sin(πt/18)+22

This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.

..

After 15 seconds:

h=20sin(15π/18)+22

=20sin(5π/6)+22

=20*(1/2)+22

=32 m

..

When h=38 m

38=20sin(πt/18)+22

38-22=20sin(πt/18)

20sin(πt/18)=16

sin(πt/18)=16/20=4/5=.8

arcsin(.8)=0.927

πt/18=0.927 (radians)

t=(.927*18)/π≈5.31

..

height above the ground after 15 seconds≈38 m

seconds elapsed when height is 38 m above ground≈5.3 seconds

The area of the triangle is approximately 351.78 square centimeters.

This is an isosceles triangle, which means that the base divides the triangle into two congruent right triangles. We can use the Pythagorean theorem to find the height of the triangle, which is the distance from the base to the apex.

Let's call the height of the triangle "h". Using the Pythagorean theorem, we have:

h^2 + 13^2 = 30^2

Simplifying and solving for h, we get:

h^2 + 169 = 900

h^2 = 731

h ≈ 27.03

Now that we know the height of the triangle, we can use the formula for the area of a triangle:

Area = 1/2 x base x height

Plugging in the values we know, we get:

Area = 1/2 x 26cm x 27.03cm

Area ≈ 351.78 cm^2

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The given question is incomplete, the complete question is:

Find the area of the figure.

Answer:

the probability is 1/4

Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.

To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:

Help Center to Water Slide #1:

Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)

Toddler area to Concessions:

Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)

Gift Shop to Restrooms:

Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)

Security desk to Water Slide #2:

Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)

Lazy River to Large Whirlpool:

Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5

Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)

Presently, let's calculate the linear equations for each case:

Help Center to Water Slide #1:

The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.

Toddler area to Concessions:

The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:

-7.5 = (-1/3)(1.5) + b

-7.5 = -0.5 + b

b = -7

Gift Shop to Restrooms:

The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.

Security desk to Water Slide #2:

The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.

Lazy River to Large Whirlpool:

The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:

12 = (2/5)(-2) + b

12 = -4/5 + b

b = 61/5

The Linear equations for each case are as follows:

Help Center to Water Slide #1: y = 3

Toddler area to Concessions: y = (-1/3)x - 7

Gift Shop to Restrooms: y = -9

Security desk to Water Slide #2: y = 4

Lazy River to Large Whirlpool: y = (2/5)x + 61/5

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i dont have time to do it right now but here is the percent error equation!

Check the picture below.

let's recall that the midsegment of a triangle is the segment that's half-way to both endsides and is at the same time parallel to the 3rd side, is also half the length of the parallel side, so-called the base.

so, for example, we know L, M and N are midpoints to each segment, that means that LM is a midsegment and parallel to PR and also half the length of PR, same is true for LN and MN.

The statement that " Homogeneous equation Ax = 0 has trivial solution if it has at least 1 free variable"  is FALSE .

For a system of Linear Equations, a free variable is a variable which can take any value, whereas

the Leading Variable is a variable which is determined by the values of the free variables.  

The presence of a free variable means that existence of a non trivial solution to Ax = 0  because a free variable corresponds to a column of A that does not contain a pivot position in the corresponding row of [A|0].

So , the corresponding variable can be set to any non zero value, which gives a non trivial solution to Ax = 0.

Therefore, we can conclude that the homogeneous equation Ax = 0 has the trivial solution if and only if the equation has no free variables.

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The given question is incomplete , the complete question is

The homogeneous equation Ax = 0 has the trivial solution if and only if the equation has at least one free variable. True or False ?

Answer: If referring to how they move, yes

Step-by-step explanation:

Answer:

x = 11 | Scale factor = 2

Step-by-step explanation:

As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.

Hope this helps,

If you like my answer please give brainliest

Happy Holidays to everyone!

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

20

Step-by-step explanation:

area = length * breadth

320cm² = length * 16cm

divide both sides by 16cm to isolate length

20cm = length

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Answer:

{x,y} = {-4,3}

Answer:

x = 4 and y = 3

Step-by-step explanation:

a) 5x - 2y = 14

b) x + 3y = 13

b) x = -3y + 13

a) 5 (-3y + 13) - 2y = 14

-15y + 65 - 2y = 14

-17y = 14 - 65

y = 51/17

y = 3

b) x + 3(3) = 13

x = 13 - 9

x = 4

Answer:

las negras, 1/3 es mayor

Step-by-step explanation:

Espero te sirva <3