Yuto has a bag containing 3 red marbles 5 blue marbles 2 green marbles and 8 yellow Marbles what is the total number of possible outcomes for misaki’s marble

Answer:

x³ - 4x² - 25x + 28

Step-by-step explanation:

Step 1: Write out binomial linear factors

(x - 1)(x - 7)(x + 4)

Step 2: Expand

(x²  - 8x + 7)(x + 4)

Step 3: Expand

x³ - 4x² - 25x + 28

Answer:

97 is a prime number.

Prime[25] = 97

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where the slope m is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, -3) and (-6, -1).

Substitute:

[tex]m=\dfrac{-1-(-3)}{-6-2}=\dfrac{2}{-8}=-\dfrac{1}{4}[/tex]

[tex]y-(-3)=-\dfrac{1}{4}(x-2)\\\\y+3=-\dfrac{1}{4}(x-2)\to\text{point-slope form}[/tex]

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]

[tex]y+3=-\dfrac{1}{4}x+\dfrac{1}{2}[/tex]         subtract 3 from both sides

[tex]y=-\dfrac{1}{4}x-2\dfrac{1}{2}\to\text{slope-intercept form}[/tex]

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]      multiply both sides by 4

[tex]4y+12=-(x-2)[/tex]

[tex]4y+12=-x+2[/tex]        subtract 12 from both sides

[tex]4y=-x-10[/tex]           add x to both sides

[tex]x+4y=-10\to\text{standard form}[/tex]

Answer:

[tex] \sqrt{ {x}^{2} - 1 } [/tex]

Solution,

base=1

perpendicular=?

hypotenuse=X

now,

using Pythagoras theorem,

x^2=p^2+b^2

or, x^2=p^2+1^2

or,p^2=x^2-1

or, p=√x^2-1

tan theta=perpendicular/ base

tan theta =√x^2-1/1

tan theta=√x^2-1

z=tan theta

z=√x^2-1

Hope this helps...

Good luck on your assignment..

Answer:

[tex]\sqrt{x^{2}-1}}[/tex].

Step-by-step explanation:

The tangent of theta means that you are trying to find opposite over adjacent.

You already have the value of the adjacent (1), so all you need to do is find the opposite. That would be the square root of the hypotenuse squared minus the adjacent squared.

The opposite would be sqrt(x^2 - 1^2) = [tex]\sqrt{x^{2}-1}}[/tex].

When you put it together, tan(theta) = [tex]\frac {\sqrt{x^{2}-1} }{1}[/tex]

That is [tex]\sqrt{x^{2}-1}}[/tex].

So, z, in terms of x, is [tex]\sqrt{x^{2}-1}}[/tex].

Hope this helps!

Answer:

1) The student didn't add copper sulfate but instead he added calcium carbonate.

2) The heated solution should be left to get bigger crystals and should not be instantly allowed to evaporate.

3) He should use copper carbonate not calcium carbonate.

4) Sulfuric acid was added instead of hydrochloric acid.

5) Add solid excessively so that all of the acid is retained.

6) Filter the solution to remove unreacted solid.

7) Heat gently, so the crystals will start to appear.

The reactants in this reaction ought to have been copper carbonate and sulfuric acid.

The student is trying to carry out a reaction that would produce copper sulfate using two starting materials. The process is also expected to involve the evolution if a gas. However the process failed to produce the desired product. The following adjustments should be made to the process;

If these two adjustments are made, the equation of the reaction occurs as follows; CuCO3​(s) + H2​SO(​aq) → CuSO4​(aq) + CO2​(g) + H2​O(l).

Learn more: https://brainly.com/question/731147

Answer:

Step-by-step explanation:

We are going to use the areas given to find the lengths of the sides of each of their respective squares. For the purple square, the area is 35 units squared. Because the formula for the area is A = s * s, then we can fill in the value for the area and solve for s, the side length, of the purple square.

[tex]35=s^2[/tex] and

[tex]s=\sqrt{35}[/tex]. That side length also serves as the height of the right triangle. Now on to the blue square on the bottom. It has an area of 50 units squared, so

[tex]50=s^2[/tex] and

[tex]s=\sqrt{50}[/tex]. We could feasibly simplify that, but it's not necessary, really. That side serves as the base of the right triangle. Now we can use Pythagorean's Theorem to find the length of the hypotenuse of the right triangle, which also serves as the side of the big blue square. We will call the side of the big blue square x.

[tex]x^2=(\sqrt{35})^2+(\sqrt{50})^2[/tex] and

[tex]x^2=35+50[/tex] and

[tex]x^2=85[/tex] and

[tex]x=\sqrt{85}[/tex]. That is the side length of the large blue square. The area for the square is s * s, and since we know the side length to be √85:

[tex]A=(\sqrt{85})(\sqrt{85})[/tex] so

A = 85 units squared

Answer:

C is closest to the actual result, $1126.03.

Step-by-step explanation:

Use the Compound Amount formula:  A = P(1 + r/n)^(nt), where:

 P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.

Then we have A = $1000(1 + 0.04/4)^(4*3), or

                            = $1000(1.01)^12  =  $1126.03

Answer:

65

Step-by-step explanation:

Angle M and angle L are supplementary angles, so they add up to 180°.

180 - 115

= 65

The measure of angle L is 65 degrees.

Answer:

x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]

Step-by-step explanation:

Using Synthetic division

divisor is (x - 5) , thus evaluate at h = 5

5 | 1  8  - 25  - 193

        5     65   250

  -----------------------------

    1  13   50     57 ← remainder = 57

The coefficients of the quotient are 1, 13,  50 , that is

x² + 13x + 50

Thus

[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]

Answer:

25 pounds of mix A

10 pounds of mix B

Step-by-step explanation:

Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:

[tex]0.5A+0.25B=15[/tex]

Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:

[tex]0.5A+0.75B=20[/tex]

Solving the linear system:

[tex]0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds[/tex]

In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.

As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

Answer:

17/6

Step-by-step explanation:

El único problema aquí es conocer las operaciones con el surd por favor note que;

√a * √a = a Así;

√3 * √3 = 3

Entonces, la otra cosa a tener en cuenta es el orden de las ecuaciones.

Resolvemos los corchetes antes de proceder con cualquier otra cosa.

1 / 3√3 * 5 / 4√3 = 5/12 (3) = 5/36

Es esto lo que agregamos a 7/4

5/36 + 7/4 = (5 + 63) / 36 = 68/36 = 17/6

Answer:

Step-by-step explanation:

The trick here is to notice that :

Now let's replace by the values we khow :

So AB=6 cm and DE=15 cm

From the given information in the diagram

a) The length of DE is 15cm and

b) The length of AB is 6cm

From the question,

Triangles ABC and CDE are mathematically similar.

a) To determine the length of DE

Since ΔABC is similar to ΔCDE

By similar triangles theorem, we can write that

[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]

From the diagram

/BC/ = 5cm

/CA/ = 8cm

/EC/ = 24 cm

/DE/ = ?

Putting these values into

[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]

We get

[tex]\frac{5}{/DE/}=\frac{8}{24}[/tex]

∴ [tex]8 \times /DE/ = 5 \times 24[/tex]

Now, divide both sides by 8

[tex]\frac{8 \times /DE/}{8}= \frac{5 \times 24}{8}[/tex]

[tex]/DE/ = \frac{120}{8}[/tex]

/DE/ = 15cm

b) To work out the length of AB

Also, by similar triangles theorem, we can write that

[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]

From the diagram

/AB/ = ?

/CD/ = 18cm

/CA/ = 8cm

/EC/ = 24 cm

Putting these values into

[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]

We get

[tex]\frac{/AB/}{18}=\frac{8}{24}[/tex]

Now, multiply both sides by 18, that is

[tex]18 \times \frac{/AB/}{18}=\frac{8}{24} \times 18[/tex]

[tex]/AB/ = \frac{144}{24}[/tex]

/AB/ = 6cm

Hence,

a) The length of DE is 15cm and

b) The length of AB is 6cm

Learn more here: https://brainly.com/question/14106654

Answer:

120 m

Step-by-step explanation:

LCM of 1.6 and 15 will give us the distance

Put 1,6 and 15 in same format:

LCM= 2*2*2*2*3*5*5/10= 120 m

So the next point is 120 m apart

Answer: 1.25 cups of flour each

Step-by-step explanation:

6.25 cups is for 5 batches of cookies. To find how much flour goes into each batch, divide 6.25 by 5.

6.25 / 5 = 1.25

Answer:

1.3 cups

Step-by-step explanation:

If 6.25 cups were used for 5 batches, then 1 batch will be 6.25 divided by 5 = 1.3 cups

Hope this helps

Answer:

Step-by-step explanation:

$0.50 per centimeters i think

Answer:

$1.33

Step-by-step explanation:

let the cost of apple be $x .

now according to question the two shoppers spend the same amount

4.75x+4=5.5x+3

0.75x=1

x= 4/3= $1.33

therefore,  pound of apples cost = $1.33

Answer:

9 burritos

Step-by-step explanation:

We can use ratios to solve

8 cups         12 cups

----------   = -----------------

6 burritos     x burritos

Using cross products

8x = 6*12

8x = 72

Divide by 8

8x/8 =72/8

x = 9

9 burritos

You need to give us answer choices.

However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.

The length of BE could possibly be 27 units.

- I hope this helps. Next time, please use the search feature :)))

Answer:

[tex]\boxed{\sf \ \ \ x = 5 \ or \ x=-5 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]x^2-25=0\\<=> x^2-5^2=0\\<=> (x-5)(x+5)=0\\<=> x-5 = 0 \ or \ x+5=0\\<=> x = 5 \ or \ x=-5[/tex]

hope this helps

Answer:

a) Cost of flying from A to B = $425

b) Total distance travelled by Piravena during the complete trip = 7,500 km

c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.

Step-by-step explanation:

The complete question is presented in the attached image to this question.

Full Question

a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.

b) Determine the distance she travels for her complete trip.

c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.

Solution

a) The distance from A to B is given as 3250 km.

To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.

So, to fly 3250 km, she will pay

100 + (0.10×3250) = $425

b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.

Her complete distance travelled = AB + BC + CA

But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.

Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides

AB² = BC² + CA²

3250² = BC² + 3000²

BC² = 3250² - 3000² = 1,562,500

BC = √1,562,500 = 1,250 km

Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km

c) Her total cost of travel = $1012.50

But she definitely flew from A to B at a cost of $425

This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5

Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.

To confirm this, we calculate the two options (bus or airplane) for each route.

If she travels B to C by bus, cost = 0.15 × 1250 = $187.5

If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225

Hence, the bus obviously minimizes cost here.

If she travels from C to A by bus, cost = 0.15 × 3000 = $450

If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400

Here, travelling by airplane minimizes the cost.

So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5

which is the remaining part of her total cost is she minimized expenses!

Hope this Helps!!!

Answer:

The distance is 7500 kilometers

Step-by-step explanation:

I got the answer wrong myself and the website told me that it’s 7500 kilometers

Answer:

87

Step-by-step explanation:

Sequence 1 has common difference of 4 and sequence 2 has 7

The first terms are common

We need a new sequence with common difference of:

So the next common term is 1+28= 29 and the following one is 29+28= 57

Sum of 3 terms:

Answer:

87

Step-by-step explanation:

The first sequence:

1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61...

The second sequence:

1, 8, 15, 22, 29, 36, 43, 50, 57, 63...

The first three common terms are 1, 29, 57.

The sum of the first three common terms:

1 + 29 + 57

= 87

Answer:

31

Step-by-step explanation:

Median is the middle number when you order them ascending.

Answer:

40 million acres.

Step-by-step explanation:

15 ,27, 31, 40, 44. The median number is the middle number(arranged from least to greatest). In 5 numbers, the middle number is the 3rd number(arranged from least to greatest), therefore; the answer is 31.

Answer:

32

Step-by-step explanation:

A : B : C: total

2   3    4   2+3+4 = 9

Take the number of rolls received 72 and divide by 9

72/9 = 8

Multiply each number by 8

A     :  B    :   C   : total

2*8   3*8    4*8   9*8

 16     24      32    72

C received 32 rolls

Answer:

12 7/10

Step-by-step explanation:

13  - 12/40

Simplify the fraction

13 - 3/10

Borrow 1 from 13 in the form of 10/10

12 + 10/10 - 3/10

12 7/10

2 < x < 12,

4 < x < 21,

-1 < x < 9

0 < x < 8

x<6

From above: 4 < x < 6 --> x = 5.

Answer: B.

Answer:

y < 3x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

6x > 2y - 5

Adding 5 to both sides

=> 6x + 5 > 2y

=> 2y < 6x+5

Dividing both sides by 2

=> y < [tex]\frac{6x+5}{2}[/tex]

=> y < [tex]\frac{6x}{2} + \frac{5}{2}[/tex]

=> y < 3x + [tex]\frac{5}{2}[/tex]

This is the required slope intercept form in the form [tex]y = mx+b[/tex]

Answer:

x = 3

Step-by-step explanation:

[tex](8x-8)^{3/2}=64[/tex]

Multiply both sides by the exponent 2/3.

[tex]8x - 8 = 64^{2/3}[/tex]

Solve for the exponent.

[tex]8x-8=16[/tex]

Add 8 to both sides.

[tex]8x = 16+8[/tex]

[tex]8x=24[/tex]

Divide 8 into both sides.

[tex]x=24/8[/tex]

[tex]x=3[/tex]

Answer:

the answer is A

Step-by-step explanation: