FIND THE TRACE OF THE PLANE IN THEGIVEN COORDINATE PLANE.
3x-9y+4z=5, yz

Answer:

12d-4e-2f

4(3d-e) -2f= 4(3x2-4)-2x3

=4(6-4)-6

=4x2-6

=8-6

=2

Step-by-step explanation:

mark as BRAINLIEST

Answer:

D

Step-by-step explanation:

"a" is absolute positive so it must greater than -4 and greater smaller or equal to 4

Answer:

2/5

Step-by-step explanation:

you have to reduce each number by 6

Answer: 12/30 or 2/5

Answer:

Step-by-step explanation:

2x+y=-3 Answer = y=−2x−3

-2y=6+4x Answer = y=−2x−3

Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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15

Answer:

Solution given;

m = -7/2 , T(13, 2), W(_x, -5)

m=(y2-y1)/(x2-x1)

-7/2=(-5-2)/(x-13)

-7/2=-7/(x-13)

doing crisscrossed multiplication

x-13=2

x=2+13

x=15

Answer:

the answer is 15

Step-by-step explanation:

correct me if I'm wrong thanks

To determine the number of quarters and dimes in a coin jar, given that 10 coins add up to $2.05, you need to solve a system of equations. The solution will provide the number of quarters and dimes that satisfy the given conditions.

Let's assume the number of quarters is represented by q and the number of dimes is represented by d. Since the total number of coins chosen is 10, we have the equation q + d = 10.

Considering the values of quarters and dimes, we know that each quarter is worth $0.25 and each dime is worth $0.10. The total value of the coins can be expressed as 0.25q + 0.10d = 2.05.

To find the values of q and d, we can solve the system of equations:

q + d = 10

0.25q + 0.10d = 2.05

By solving this system of equations, we can determine the number of quarters and dimes that satisfy the conditions.

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Answer:

part 1: You start with an annual "simple interest rate," which is the percentage of the principal balance your money earns each year. ... Add the daily interest earned to the balance.

part 2: Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.

part 3: a compound interest account and here's why. When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate

Step-by-step explanation:

The option that summarizes a t-test that was significant and associated with a large effect size is: d. t(12) = 2.95, p < .05, d = .82

In this option, the t-value is 2.95, indicating a significant result. The p-value is less than .05, indicating that the result is statistically significant at the chosen significance level. Furthermore, the effect size is large, with a Cohen's d value of .82. A large effect size suggests a substantial difference between the groups being compared.

The summary presented in option d is as follows:

t(12) = 2.95, p < .05, d = .82

- t(12) represents the t-value and the degrees of freedom (df) associated with the t-test. In this case, the t-value is 2.95, indicating the magnitude of the difference between the groups being compared. The degrees of freedom is 12, which is determined by the sample size and the design of the study.

- p < .05 indicates the p-value, which is a measure of the probability of obtaining the observed results by chance alone. In this case, the p-value is less than .05, indicating that the difference observed is statistically significant at the .05 significance level.

- d = .82 represents the effect size, specifically Cohen's d. Effect size measures the magnitude of the difference between groups or the strength of the relationship between variables.

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The quantity q(t) of a radioactive substance left at time t > 0 with a half-life of 3200 years can be found using the formula: q(t) =

\(q(0) * 0.5^(t/3200)\)

after 6400 years, only 10 grams of the substance will be left. where q(0) is the initial quantity of the substance.

Given q(0) = 20 g, we can find q(t) for any time t > 0 using the formula above. For example, if we want to find q(6400) - the quantity of the substance left after 6400 years - we can substitute t = 6400 in the formula and get: q(6400) =

\(20 * 0.5^(6400/3200)\)

= 10 g.

After 6400 years, only 10 grams of the substance will be left. It is important to note that the half-life of a radioactive substance is the time it takes for half of the substance to decay.

After one half-life (3200 years), the initial quantity of the substance will be reduced to half (10 g). After two half-lives (6400 years), it will be reduced to one-fourth (5 g), and so on.

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A paired-test can be used to check if the two blood pressure taken from 2 groups,one group having normal blood pressure another having white coat hypertension differ or not.

A paired t-test is used to determine whether two sample means are equal or not. White coat hypertension occurs when a person's blood pressure rises when they are in a medical setting.

To assess whether the two blood pressure measurements differ, a paired t-test should be used. The paired t-test is used to compare two dependent samples that are connected in some manner. A random sample of 50 patients should be taken to see if the two blood pressures differ. Here are the steps for conducting a paired t-test:

- State the null and alternative hypotheses.
- Calculate the difference between the two groups of data.
- Calculate the sample mean, sample standard deviation, and sample size.
- Use the t-distribution to determine the critical value.
- Compute the test statistic.
- Determine the p-value.
- Make a decision.

It is worth noting that in order to use the paired t-test, the data must be normally distributed. Additionally, this test can be performed on a one-tailed or two-tailed basis, depending on the hypothesis test. F-distribution is not used in a paired t-test.

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The (⍺3β3) oligomer of ATP synthase can have 3 different functional conformations.

The (⍺3β3) oligomer of ATP synthase, which consists of three α-subunits and three β-subunits, can exhibit three different functional conformations. These conformations are known as "open," "loose," and "tight" states. The binding change mechanism describes the sequential transition of the catalytic sites within ATP synthase as they alternate between these conformations, facilitating the synthesis of ATP.

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If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

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We cannot calculate the quick ratio for 2017 as the given data does not contain the balance sheet for 2017. However, we can calculate the quick ratio for 2021 using the given information. The quick ratio for 2021 is 1.54.

Quick ratio is a liquidity ratio that calculates a firm's ability to pay off its current liabilities with quick assets. Quick assets are the liquid assets that can be easily converted into cash within 90 days.

Quick ratio formula:

Quick ratio = (Current assets - Inventories) / Current liabilities

In the given information, we have the following details for the year 2021: Current assets = Cash + Accounts receivable + Inventory = 280 + 940 + 1725 = $2945 million

Current liabilities = Accounts payable = $1435 million

Inventory = $1725 million

Therefore, Quick ratio = (2945 - 1725) / 1435= 1.54 Hence, the quick ratio for 2021 is 1.54.

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Answer:

∠POS = 128°

Step-by-step explanation:

Angles on a straight line always add up to 180°

Therefore:

∠POS + ∠POQ = 180°  (as they are the angles on line SOQ)

∠POS + 52° = 180°

∠POS = 180° - 52°

∠POS = 128°

\(\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}\)

To find :-

The value of ∠POS

Given :-

∠POQ = 52°

Solution :-

The ∠POQ + ∠POS lies on same line SOQ. So they are linear pair and linear pair angle forms sum of 180°.

∠POS + ∠POQ = 180° {linear pair}

∠POS + 52° = 180°

∠POS = 180° - 52°

∠POS = 128°

Result :-

The angle ∠POS is 128°.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

total cards = 52

Step 02:

probability:

p(event) = favorable outcomes / total outcomes

total cards = 52

total queens = 4

total face cards = 12

first event (queen):

p(queen) = 4 / 52

second event (face card):

without replacement

p(face card) = 11 / 51

total probability (queen and face card):

The answer is:

p (queen and face card) = 0.0166

Answer:

y = 8.5x

Step-by-step explanation:

A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation

y = kx, where k is constant of proportionality

________________________________________________

Let  the  relation be

y = kx

but we have a as 3 and b as 25.5

thus

substituting value of and a and b in y = kx , we have

25.5 = k*3

=> k = 25.5/3 = 8.5

Thus, equation which can represent this relation is y = 8.5x

Answer:

To calculate the distance between each pair of points given, we can use the distance formula which is derived from the Pythagorean theorem. The formula is:

distance = square root of [(x2 - x1)^2 + (y2 - y1)^2]

Using this formula, we can calculate the following distances:

a. Distance between M and P = 13 units

b. Distance between A and B = 5 units

c. Distance between C and D = 10 units

Answer:

4x³ - 29x² + 11x -1

Step-by-step explanation:

( 4x - 1) ( x² - 7x + 1 )

4x³ - 28x² + 4x - x² + 7x -1

4x³ - 29x² + 11x -1

Answer:

38cm

Step-by-step explanation:

3x - 5 = 19 - x (since it is an isosceles triangle, the two sides are equal)

3x + x = 19 + 5

4x = 24

x = 6

Perimeter:

= 3x - 5 + 19 - x + 2x

= 4x + 14

Subbing x = 6

= 4 x 6 + 14

= 24 + 14

= 38cm

Answer is :

Explanation:

A isosceles triangle is a triangle which must have two equal sides of same length.

Here,

3x - 5 = 19 - x

solving for x

Move all the terms containing x to the left hand side of the equation.

3x + x = 19 + 5

4x = 24

x = 24 ÷ 4

x = 6

Plugging the value of x in the two equal sides 3x - 5 and 19 - x

3x - 5 = 3(6) - 5 = 18 - 5 = 13 cm

19 - x = 19 - 6 = 13 cm

So the length of two equal sides is 13 cm.

Then the length of third side will be :

2x [plugging the value of x]

2 (6) = 12

Now let's come to the perimeter of the isosceles triangle.

Perimeter = Sum of all sides

= 13 + 13 + 12

= 26 + 12 = 38 cm

The equation is given as follows:

d = 50t.

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

The bird can fly 400 kilometers in 8 hours, hence the velocity is given as follows:

v = 400/8

v = 50 km/h.

Then the equation is given as follows:

d = vt

d = 50t.

The complete problem is:

"An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Write an equation to represent the distance d, in kilometers, of each bird after t hours".

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Answer:

6 square foot 5. hope this helps

Answer:

innate as an agent X or something else

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Suppose you have a deck of 52 cards, 4 of which are aces. The chances of drawing an ace from this deck are 4/52≈8%.

The largest possible total area of the three pens, using 780 feet of fencing is 57,037.5 square feet obtained by dividing the rectangular area into three equal-sized pens with fencing parallel to one side of the rectangle.

To maximize the total area of the three pens, we need to divide the rectangular area into three equal-sized pens with fencing parallel to one side of the rectangle. Let's denote the dimensions of the rectangular area as length (L) and width (W).

Since we have 780 feet of fencing available, the total length of the fencing used will be 2L (for the two parallel sides of the rectangle) and 4W (for the three dividing fences). This gives us the equation:

2L + 4W = 780

We can rewrite this equation to express L in terms of W:

L = (780 - 4W)/2

L = 390 - 2W

The total area of the three pens is given by A = 3LW. Substituting the expression for L, we have:

A = 3(390 - 2W)W

A = 1170W - 6W^2

To find the largest possible total area, we need to maximize the quadratic equation A = -6W^2 + 1170W. The maximum occurs at the vertex of the parabola, which is given by W = -b/2a.

For our equation, a = -6 and b = 1170. Substituting these values, we find:

W = -1170/(2*(-6))

W = 97.5

Substituting this value back into the equation for L, we get L = 390 - 2(97.5) = 195.

Therefore, the largest possible total area of the three pens is obtained when each pen has dimensions 97.5 ft (width) and 195 ft (length), resulting in a total area of 3 * 97.5 * 195 = 57,037.5 square feet.

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1. Milliliters, cubic centimeters and liters, are some of the volume units which are used to measure the space occupied by three-dimensional objects.

2. By definition:

-One milliliter (mL) is one thousandth of a liter (L). Therefore:

1 milliliter = 0.001 liters

- One cubic centimeter (cm³) is one thousandth of a liter (L). So:

1 cm³ = 0.001 liters

3. As you can see, 1 milliliter=1 cm³, therefore:

0.025 mL=0.025 cm³

4. To convert milliliters (mL) to liters (L), you have:

1 mL---------- 0.001 L

0.025 mL-----L=?

=(0.025)(0.001)/1

=2.5x10^-5 L

If l is the length of the brace, this is the same as  |7 - L| = 0.025 so option (A) will be correct.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given that,

Length of metal brace

l = 7 + 0.025

0 = 7 + 0.025 -l

7 - l = -0.025

Now taking mode on both sides

|7 - L| = |-0.025|

|7 - L| = 0.025

Hence "If l is the length of the brace, this is the same as  |7 - L| = 0.025".

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The percent Selina would have saved if she had a renters' insurance policy at a monthly cost of $19.00 is 93. 5%

A percentage can be defined as a ratio or number that is expressed as a fraction of 100.

It is represented with the symbol "%"

Based on the information given, we have that;

To determine the percent she saved for an insurance policy at a monthly cost of $19.00

We take the following steps;

Total cost - 6(insurance policy)/total cost × 100/1

Substitute the values

$1760 - 6(19.00)/1760 × 100/1

Subtract the numerators

1646/1760  × 100/1

Find the quotient

0. 935  × 100/1

Multiply through

93. 5%

Hence, the value is 93. 5%

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Answer:

A-1/216

Step-by-step explanation:

(1/6)^3 is the same as: 1^3/6^3. Since one to any power is always 1, it woudl just be 1/6^3.  6^3 is 216, so the answer would be 1/216.

Hope this is helpfule! :)

Answer:

1/216

Step-by-step explanation:

(1/6)^3

(1/6) * (1/6) * (1/6)

1/216

Answer:

6. is proportional, 7. is not proportional, 8. is not proportional

Step-by-step explanation:

Answer:

yesssssssssssssssssss girl get it lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

12x^2y / 4xy = 3x

So 4xy is the highest common factor.

Answer:

4x2y

Step-by-step explanation:

4xy = 4x4y

12x ÷ 4 = 3x

2y ÷ 2 = 1y

Hope this helps !

Merry Christmas