8x-5y=11 (show work)
4x-3y=5

Answer:

-5

Step-by-step explanation:

-4-1 keep change change

keep -4

change - to +

-4+

then change 1 to-1

-4+-1 now add

-5

The distance from Jada to Noah is 31.416 feet

The distance from Jada to Elena is 73,304 feet

Distance is a numerical expression of the physical distance between two things or points. This phrase relates to the length of the route undertaken by an item while transitioning from one spot to another.

The distance can be assessed employing diverse systems, for instance meters, feet, miles, kilometers and more. In physics, distance is commonly used for calculating velocity, acceleration, as well as other physical multiplicands.

Furthermore, Distance is identified as a scalar amount, implying that it only consists of magnitude rather than indicating any particular direction - unlike displacement which assumes both aspects into account.

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The smaller number is 25, and the larger number is 68. The larger number is 18 more than twice the smaller number, and their sum is 93.

To solve this word problem using the 3-step process, we need to find the two numbers given that the larger number is 18 more than twice the smaller and the sum of the two numbers is 93.
Step 1: Let's assign variables to the unknown numbers. Let's say the smaller number is "x" and the larger number is "y".
Step 2: Translate the given information into equations. From the problem, we know that the larger number is 18 more than twice the smaller. So, we can write the equation as: y = 2x + 18.
We also know that the sum of the two numbers is 93. So, we can write another equation as: x + y = 93.
Step 3: Solve the system of equations. We have two equations:
y = 2x + 18
x + y = 93
We can solve this system of equations by substitution method or elimination method. Let's use substitution.
Substitute the value of y from the first equation into the second equation:
x + (2x + 18) = 93
3x + 18 = 93
3x = 93 - 18
3x = 75
x = 75 / 3
x = 25
Now, substitute the value of x back into the first equation to find y:
y = 2(25) + 18
y = 50 + 18
y = 68
So, the smaller number is 25 and the larger number is 68.

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We are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

In the given scenario:

The boldface number "12.2" represents a statistic.

The boldface number "15.1" represents a statistic.

A statistic is a numerical value that summarizes a sample of data, while a parameter is a numerical value that summarizes a population.

In this case, we are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

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The statement that is true about the dilation is AB/BC = AD/DE

From the question, we have the following parameters that can be used in our computation:

This means that

So, we have

AB/BC = AD/DE

This represents option (b)

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Answer:

x = 1

Step-by-step explanation:

the important thing to know here is that if you do something to both sides of an equation (eg, add 2) the equation will still be equal.

- 9x - 17 = - 26

add 17 to both sides of the equation

-9x - 17 + 17 = -26 + 17

-9x = -9

divide both sides of the equation by -9

-9x/-9 = -9/-9

x = 1

Answer:

Y=2x

Step-by-step explanation:

I did the iready quiz already:)

The equation of the proportional relationship represented by the table and the graph is: y = 2x.

If m is the slope or unit rate, a proportional relationship between two variables, x and y, can be represented with an equation as, y = mx.

Let's find the equation that represents the relationship represented by the graph and the table. Let's use the graph.

m = y/x

Using the point, (2, 4),

m = 4/2 = 2

Substitute m = 2 into y = mx

y = 2x

Therefore, the equation of the proportional relationship represented by the table and the graph is: y = 2x.

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Answer: 25

Step-by-step explanation:

uh add it lol

Answer:

C

Step-by-step explanation:

i am smart

Answer:  -3? i think..

Step-by-step explanation:

The required number line is typically drawn from left to right to show all of the possible solutions that make the inequality true.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The number line is typically drawn from left to right to show all of the possible solutions that make the inequality true.

The inequality may involve a variable x, and the number line would represent all possible values of x that satisfy the inequality. The solutions could be, for example, all values of x greater than 3, in which case the number line would start at 3 and extend to the right to represent all values of x greater than 3. Alternatively, the solutions could be all values of x less than or equal to -2, in which case the number line would start at -2 and extend to the left to represent all values of x less than or equal to -2.

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Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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Answer:

answer is pp

Step-by-step explanation:

Answer:

4+4=8

7-1=6

Step-by-step explanation:

Try using your fingers

The number of chickens she had was 352

From the question, we are to determine the number of chicken she has

Let c represent chicken

and d represent ducks

From the given information,

Mrs. Anderson had twice as many chickens as ducks

c = 2d ---------- (1)

She sold 272 chickens and 16 ducks and then had half as many chickens as ducks

(c-272) = 1/2(d -16) ---------- (2)

Put equation (1) into (2)

2d - 272 = 1/2(d - 16)

2(2d - 272) = d- 16

4d - 544 = d - 16

4d - d = 544 - 16

3d = 528

d = 528/3

d = 176

Substitute the value of d into equation (1)

c = 2d

c = 2(176)

c = 352

Hence, the number of chickens she had was 352

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Answer:

First one! Hours of babysitting

Step-by-step explanation:

15 x y = 90

the variable would be how many hours she worked

Answer:

A

Step-by-step explanation:

she will always charge $15 a hour which makes it independent
as for the amount of hours she has spent would be dependent on how much time she has spent baby sitting

The constant of proportionality is 5.

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional. When y and x are two values that are directly proportional to one another, the proportionality constant k is defined as k=y/x.

For instance, to indicate the amount of money you must spend at the gas station, we may use the variables y = price in dollars, x = gas in gallons, and a proportionality constant, k.

The proportional relationship is y=kx

From the data given,

5x1=5

5x2=10

5x3=15

5x4=20

Here the constant of proportionality is 5.

In the given question for every one lap  Francesca runs she will gain $5.

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Answer:

Quintic monomial - zym^2

Quintic polynomial - 2x^5 + 8x^4 - 6x^2 +5x...

Quartic trinomial  - 2x^4 -  5y +2

Quadratic trinomial - z+xy-1

I hope im right!!

Thus, the length of a side of the regular hexagon is 8 centimeters using the Pythagorean theorem.

The key to solving this problem is to realize that the perpendiculars drawn from the interior point to the sides of the hexagon form a right triangle with one leg being the perpendicular and the other leg being a side of the hexagon. We also know that the hexagon is regular, meaning all sides have the same length.

Let's label the length of the side of the hexagon as "x". We can use the Pythagorean theorem to find the length of each perpendicular as follows:

- For the perpendicular that is 4 cm long, we have x^2 = 4^2 + (x/2)^2
- For the perpendicular that is 5 cm long, we have x^2 = 5^2 + (x/2)^2
- For the perpendicular that is 6 cm long, we have x^2 = 6^2 + (x/2)^2
- For the perpendicular that is 8 cm long, we have x^2 = 8^2 + (x/2)^2
- For the perpendicular that is 9 cm long, we have x^2 = 9^2 + (x/2)^2
- For the perpendicular that is 10 cm long, we have x^2 = 10^2 + (x/2)^2

Simplifying each equation and using a bit of algebra, we get:

- 3x^2 = 16^2
- 7x^2 = 25^2
- 12x^2 = 36^2
- 24x^2 = 64^2
- 33x^2 = 81^2
- 40x^2 = 100^2

Solving for x in each equation, we find that x = 8 cm. Therefore, the length of a side of the regular hexagon is 8 centimeters.

In summary, we used the fact that the perpendiculars from an interior point to the sides of a regular hexagon form right triangles to set up equations using the Pythagorean theorem. Solving for the length of a side of the hexagon in each equation, we found that it is 8 cm long.

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To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

Answer:

\(x_1 = -3 + 8\sqrt{2} = 8.3137\\\\x_1 = -3 - 8\sqrt{2} = -14.3137\\\)

Step-by-step explanation:

\(-3x^2-9x+357=9x\\\\\mathrm{Move}\:357\:\mathrm{to\:the\:right\:side}\\\\-3x^2-18x=-357\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\\\dfrac{-3x^2-18x}{-3}=\dfrac{-357}{-3}\\\\x^2+6x=119\)

\(\mathrm{Rewrite\:in\:the\:form}\:\left(x+a\right)^2=b\)

\(\left(x+a\right)^2=x^2+2ax+a^2\)

\(\mathrm{Rewrite\:in\:the\:form}\:x^2+2ax+a^2\\\\\mathrm{Comparing terms }2ax=6x\\\\a=3\\\\\mathrm{Add\:}a^2=3^2\mathrm{\:to\:both\:sides}\\\\x^2+6x+3^2=119+3^2\\\\\left(x+3\right)^2=128\\\\\)

\(\mathrm{Taking square roots on either side:}\\\\(x + 3) = \pm \sqrt{128}\\\\x = -3 \pm \sqrt{128}\)

\(128 = 64 \cdot 2\\\\\sqrt{128} = \sqrt{64} \cdot \sqrt{2}\\\\= 8\sqrt{2}\)

So the two roots are
\(x_1 = -3 + 8\sqrt{2} = 8.3137\\\\x_1 = -3 - 8\sqrt{2} = -14.3137\\\)

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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The probability mass function of W is P(W=-3) = 1/27, P(W=-1) = 6/27, P(W=1) = 12/27, and P(W=3) = 8/27.

Let us consider the possible outcomes of three tosses of the biased coin. There are a total of 8 possible outcomes: HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT.

Since a head is twice as likely to occur as a tail, the probability of getting a head is 2/3 and the probability of getting a tail is 1/3.

Let W be a random variable giving the number of heads minus the number of tails in three tosses of the coin. Then, W can take on any value between -3 and 3.

To find the probability mass function (PMF) of W, we need to calculate the probability of each possible outcome. When all three coins come up heads (HHH), W = 3 - 0 = 3. The probability of this outcome is:

P(HHH) = (2/3)^3 = 8/27

When two coins come up heads and one comes up tails (HHT, HTH, THH), W = 2 - 1 = 1. The probability of each of these outcomes is:

P(HHT) = (2/3)^2 × (1/3) = 4/27

P(HTH) = (2/3)^2 × (1/3) = 4/27

P(THH) = (2/3)^2 × (1/3) = 4/27

So, P(W=1) = P(HHT) + P(HTH) + P(THH) = 12/27

When one coin comes up heads and two come up tails (HTT, THT, TTH), W = 1 - 2 = -1. The probability of each of these outcomes is:

P(HTT) = (2/3) × (1/3)^2 = 2/27

P(THT) = (2/3) × (1/3)^2 = 2/27

P(TTH) = (2/3) × (1/3)^2 = 2/27

So, P(W=-1) = P(HTT) + P(THT) + P(TTH) = 6/27

When all three coins come up tails (TTT), W = 0 - 3 = -3. The probability of this outcome is:

P(TTT) = (1/3)^3 = 1/27

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The beetle population, growing linearly, has an explicit formula P(n) = 3 + 10n, and it will take 18 weeks for the population to reach 183.

(a) To find an explicit formula for the beetle population after n weeks, we can use the information given in the problem. Since the growth model is linear, we can assume that the population increases by a constant amount each week.

Let's denote the population after n weeks as P(n). We know that P(0) = 3 (initial population) and P(10) = 103 (population after 10 weeks).

Since the population increases by a constant amount each week, we can find the growth rate (or increase per week) by taking the difference in population between week 10 and week 0, and dividing it by the number of weeks:

Growth rate = (P(10) - P(0)) / 10 = (103 - 3) / 10 = 100 / 10 = 10

Therefore, the explicit formula for the beetle population after n weeks can be written as:

P(n) = P(0) + (growth rate) * n

P(n) = 3 + 10n

(b) To find how many weeks it will take for the beetle population to reach 183, we can set up an equation using the explicit formula and solve for n:

P(n) = 183

3 + 10n = 183

Subtracting 3 from both sides:

10n = 180

Dividing both sides by 10:

n = 18

Therefore, it will take 18 weeks for the beetle population to reach 183.

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The situation involving the food establishment has a probability of "2.08 % " points higher than the situation involving the financial establishment

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The question is incomplete, as the required table which is not given.

we have the following parameters:

The probability that the establishment earns up to $25k = 10.59%

The probability that the establishment earns between $25k - $50k or $50k - $75k = 8.56%

Using the above values, the difference in the probabilities are;

d = 10.59% - 8.56

d = 2.03%

Hence, the true statement about the probability is option (d)

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Answer:

top right graph

Step-by-step explanation:

Having a zero at 3 means that the y coordinate is 0 when the x-coordinate is 3.

A y-intercept of 9 means it includes the point (0, 9).

Answer: top right graph

True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

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