What do you need to add to -6 to get 10? i need helppp

The given functions \(y_1\) and \(y_2\) are linearly dependent on the interval (0, 1)

(a) Since \(y_1 = -42\) on (0,1), the functions are linearly independent on (0,1).

This option does not make sense because \(y_1\) is not always -42 on the interval (0,1).

(b) Since \(y_1 = 5y_2\) on (0,1), the functions are linearly independent on (0,1).

This option is not correct because if we substitute y1 with 5y2 in the equation \(c_1 y_1 + c_2 y_2 = 0\), we get \(5c_2 y_2 + c_2 y_2 = 0,\) which means we can write  \(y_1\)as a constant times \(y_2\), so they are dependent.

(c) Since \(y_1 = 3y_2\) on (0,1), the functions are linearly dependent on (0,1)."

To see why, we can substitute \(y_1\) with \(3y_2\) in the equation \(c_1 y_1 + c_2 y_2 = 0\):

\(c_1 (3y_2) + c_2 y_2 = 0\)

Simplifying this, we get:

\((3c_1 + c_2) y_2 = 0\)

Since \(y_2\) is not equal to 0 for any value of t in the interval (0,1), this means that \(3c_1 + c_2\) must equal 0. This is a non-trivial solution for \(c_1\) and \(c_2\), which means that \(y_1\) and\(y_2\) are linearly dependent on the interval (0,1).

(d) Since\(y_1 = -1/2 y_2\)on (0,1), the functions are linearly dependent on (0,1).

This option is also correct because if we substitute \(y_1\) with -1/2 y2 in the equation \(c_1 y_1 + c_2 y_2 = 0,\) we get \(-1/2 c_2 y_2 + c_2 y_2 = 0\), which means we can write\(y_1\)as a constant times \(y_2\), so they are dependent.

Therefore, the correct answer is either option d, and the functions \(y_1\) and \(y_2\) are dependent on the interval (0,1).

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Answer:

D

Step-by-step explanation:

-3(2m-1)-n

open the bracket

-6m+3-n

rearrange

-6m-n+3

Answer:

D) -3(2m -1) -n = -6m-n + 3

(a) In concentrated solutions or solutions with high ionic strength, the activity coefficient deviates from 1, and the activity becomes different from the concentration.
(b)the formula for pH: pOH = -log[OH-] pH = 14 - pOH

(c) The air requirement in kg/h is (Gold to be removed x 32 g/mol) / (0.2 x 16 g/mol)

(a) The concentration of an ion and its activity are related through the activity coefficient. The activity coefficient takes into account the interactions between ions in a solution and affects the actual concentration of the ion that is available for reactions. The activity of an ion is equal to the concentration of the ion multiplied by its activity coefficient. In dilute solutions, the activity coefficient is approximately equal to 1, so the concentration and activity are almost the same. However, in concentrated solutions or solutions with high ionic strength, the activity coefficient deviates from 1, and the activity becomes different from the concentration.

(b) To calculate the pH of a saturated solution of zinc hydroxide, we need to determine the concentration of hydroxide ions (OH-) in the solution. The solubility product (Ksp) of zinc hydroxide is given as 4 x 10^-18. Since zinc hydroxide is a strong base, it completely dissociates in water, resulting in one zinc ion (Zn2+) and two hydroxide ions (OH-).

Let's assume the concentration of hydroxide ions is x M. Therefore, the concentration of zinc ions is also x M. Using the Ksp expression for zinc hydroxide, we can write the equation as:

Ksp = [Zn2+][OH-]^2

Substituting the values, we get:

4 x 10^-18 = (x)(x)^2
4 x 10^-18 = x^3

Solving this equation for x gives us the concentration of hydroxide ions. Once we have the concentration, we can use the formula for pH:

pOH = -log[OH-]
pH = 14 - pOH

(c) To calculate the air requirement in kg/h for a gold plant, we need to consider the amount of gold in the ore and the amount of air needed for the leaching process.

Given:
- Ore throughput: 1000 tons/h
- Gold grade: 5 grams/ton
- Leach tailings assay: 0.25 ppm gold
- Air contains 20% oxygen

First, we need to calculate the total amount of gold in the ore:

Gold content = Ore throughput x Gold grade
Gold content = 1000 tons/h x 5 grams/ton

Next, we need to convert the gold content to kg/h:

Gold content = (1000 tons/h x 5 grams/ton) / 1000 kg/ton

Now, we can calculate the amount of gold that needs to be removed during leaching:

Gold to be removed = Gold content - (Leach tailings assay x Ore throughput)

Finally, we can calculate the air requirement in kg/h using the assumption that the air contains 20% oxygen:

Air requirement = (Gold to be removed x 32 g/mol) / (0.2 x 16 g/mol)

Important assumption: We are assuming that all the gold in the ore will be removed during the leaching process and that the leaching process is 100% efficient.

These calculations will give us the air requirement in kg/h for the gold plant at steady state.

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Complete question

Shop A _________________ shop B £3

Any sandwich - £2.85 ___ sandwich, water crisp

A bottle of water - 60p

A bag of crisp - 85p

Answer:

£6.50, John is incorrect

Step-by-step explanation:

Number of working days = 5 = number of days meal is purchased

Total cost per meal, shop A :

£(2.85 + 0.60 + 0.85) = £4.3

Total cost for the week = 4.3 * 5 = £21.50

Total cost per meal cost Shop B = £3

Total cost for the week = 3 * 5 = £15

Difference :

£21.50 - £15 = £6.50

Hence, Amount John saves by buying from shop B is £6.50

Numbe

Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.

If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

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Answer:

if i were to factor this would be the solution

2(x^2+2x-1)

Answer:

need help

Step-by-step explanation:

Carla is 1.3 miles away from the home.

Given that, Carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

Here, c=√(1.5²+2²-2×1.5×2 cos40°)

c=√(2.25+4-6×0.7660)

c=√1.654

c=1.28

c=1.3 miles

Therefore, Carla is 1.3 miles away from the home.

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Answer:

this one actully had my brain thinking alot hah but i got it thank god haha so,

Step-by-step explanation:

the second blank is 150

i got this by adding up to see what fits in between 120 and 270

the third blank i belive its 60 and then the  fourth blank is 49

the fith blank is 90

all i did for the (meters per second) is add by 30 or times 30 by 2.. 3 times

which would go kinda like this ... 30, 60, 90 so basically 3 ,6,9,but with 0's

i got 45 by figuring out how the 25 was put and then i simply did it there

like 20 plus 4 is 24 plus 1 is 25 so, i did 25 plus 24 i did 24 because that was the original number.

i havnt done this type of math in a while soif im a little off plz dont be pop off plz haha hope this helped

Find the required table attached

Since the speed of the Cheetah is constant, this means that the speed must be the same all through in the table.

To get the unknown time and distance, we will have to use the formula below:

Speed = Distance/Time = k

When distance = 120m, time = 4secs

Speed = 120/4 = k

Speed = 30m/s = k

We are to get the distance when the time is 25secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

Find the completed table attached:

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Yes the miles driven and the amount of gasoline used can be said to have a causation as well as a correlation.

The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.

There is a causal relationship between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event. This concept is also known as cause and effect.

When the amount of gasoline is small, it would cause the miles covered to be just a few miles. Or if there is no gas, then no mile would be covered.

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Answer:

i believe the third one so this  37 < r ≥ 42 Step-by-step explanation:

Answer:

  (a)  r < 37 or r ≥ 42

Step-by-step explanation:

Translating the given relations to math symbols, we have ...

  "less than 37 minutes"  ⇒  r < 37

  "no less than 42 minutes"  ⇒  r ≥ 42

__

Written as a single statement, this is ...

  r < 37 or r ≥ 42

_____

Additional comment

The solution regions are disjoint, so an "or" statement must be used. The form ...

  37 > r ≥ 42

cannot be used, because it is false that 37 > 42.

Answer:

The y-intercept is 4

Step-by-step explanation:

in y=mx+b, the b will always be your y-intercept

From the proof below, we have been able to prove that IK bisects ∠HIJ by CPCT postulate

Congruent angles are defined as angles that have equal measure.

Now, we are given that;

IK bisects ∠HKJ

HK ≅ JK

Thus, since IK bisects ∠HKJ, then it means that by definition of angle bisector that;

∠HKI = ∠JKI

Now, we are also told that HK ≅ JK.

Now, by reflexive property of congruence, we can say that IK is congruent to itself.

Thus, we now have 2 congruent sides and an include angle and as such both triangles are congruent by SAS Congruency postulate.

Thus, we can conclude that ∠HIK = ∠JIK by CPCT which states that Corresponding parts of Congruent Triangles are congruent.

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The patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.

To determine how many tablets the patient needs to take daily, we need to divide the total amount of the drug prescribed by the dose of each tablet.

Since the patient is prescribed 3 grams of the drug daily, we first need to convert this to milligrams (mg), as the tablets are available in milligram form.

1 gram = 1000 milligrams, so 3 grams = 3,000 milligrams

The pharmacist has 750 mg tablets available, so we can calculate the number of tablets the patient needs to take daily by dividing the prescribed dose by the dose of each tablet:

Number of tablets = Prescribed dose ÷ Dose per tablet

Number of tablets = 3,000 mg ÷ 750 mg

Number of tablets = 4

Therefore, the patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.

Therefore, the patient will take 4 tablets daily.

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Answer:        我不知道你好

Step-by-step explanation:

The equation that could be used to find the pizza pan diameter is 52.

to find the pizza pan diameter, we can use the formula relating the circumference of a circle (c) to its diameter (d):

c = πd

in this case, the given circumference is 52.3 centimeters. substituting this value into the formula, we have:

52.3 = πd

to represent this equation more generally, we can use the symbol "π" to represent the mathematical constant pi (approximately 3.14159):

52.3 = πd 3 = πd.

please note that the exact value of π should be used for precise calculations, but in this case, i have used the symbol "π" to represent the mathematical constant.

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The estimated market value of Citrus County's assets, with an average duration of 8 and a market value of $1 million, would be approximately $1,055,284 if the interest rate changes to 4%.

In this case, the assets have an average duration of 8. When the interest rate changes from 5% to 4%, the change in interest rates is 1%. By applying the duration formula, the estimated percentage change in the market value of the assets would be approximately -8% (negative duration multiplied by the change in interest rates).

To calculate the estimated market value, we need to multiply the estimated percentage change (-8%) by the current market value ($1 million) and add it to the current market value. Thus, the estimated market value would be approximately $1,055,284 (1,000,000 + (1,000,000 * -8%)).

Duration is a measure of the sensitivity of an asset's price to changes in interest rates. It provides an estimate of the percentage change in the market value of an asset for a given change in interest rates. The duration formula states that the percentage change in the market value of an asset is approximately equal to the negative duration multiplied by the change in interest rates.

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Answer:

I believe the answer would be A and C

Step-by-step explanation:

Answer:

a,c and e

Step-by-step explanation:

Answer:

9) 20°

10) 190°

11) 170°

12) 260°

Answer:

I think that's 25 though I have no assurance

Answer:

We all know that if one factor is equal to zero, then the product of all factors is equal to zero.

\(ab = 0\) so \(a = 0\) or \(b=0\)

You have to rewrite the equation as a factored quadratic set both equal to zero.

Example: \((x-r_{1} )(x+r_{2}) =0\\\)  to  \((2-2)(-2+2) =0\)

\(r_{1} = -2 r_{2} = 2\)
\(x = 2, -2\)

I hoped this helped

Answer:

Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)

y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (2,18) and (5,36).

m=36-18/5-2

=18/3=6

slope of line is 6.

Now we need to find the equation of line passing through (2,18) and (5,36).

We need to find the y intercept.

18=6(2)+c

18=12+c

18-12=c

6=c

So y intercept is 6

The equation of line is y=6x+6

Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

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Answer:

Option 2 : 80x - 460 = 300 is the correct answer.

Step-by-step explanation:

Given that:

$400 box was purchased at $5 per shirt.

Number of shirts = \(\frac{400}{5}\) = 80 shirts

Profit to make = 300

Cost of advertising = $60

Total cost = 400+60 = $460

Let,

x be the cost per shirt that should be set by Robotics club.

Total selling price - production cost = Profit

80x - 460 = 300

Hence,

Option 2 : 80x - 460 = 300 is the correct answer.

The regression equation is given as Y = 3X + 2. We can use this equation to find the predicted Y value for each of the given X scores.

For X = 0:

Y = 3(0) + 2

Y = 0 + 2

Y = 2  

For X = 1:

Y = 3(1) + 2

Y = 3 + 2

Y = 5

For X = 3:

Y = 3(3) + 2

Y = 9 + 2

Y = 11

For X = 2:

Y = 3(2) + 2

Y = 6 + 2

Y = 8

Therefore, the predicted Y values for X = 0, 1, 3, and 2 are 2, 5, 11, and 8, respectively.

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The angle bisector that was constructed incorrectly is Example fiqure  2 , this was a result of not dividing the angle into equal parts.

An angle bisector can be described as a line which is used in dividing a  a given angle usually into  two equal degrees.

It should be noted that the the bisector in the second example was incorrectly constructed as a result of the  bisector not dividing <ABC into two equal parts it doe not matter if it passes intersection of the arcs and point B.

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Answer:

no solution..........

Answer:

John gets 24 dollars

Step-by-step explanation:

Divide 40 into 5 because 2+3 equals 5.

Each "section" equals 8. Now, multiply that by 3(John's section)

You get 24.

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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