x and y are two non-zero real numbers such that: x²-y²=15 and x+y=3√5. then x-y=
A. √15
B. √5
C. -3√5​

Answer:

$11.40, is the actual price, so no

Step-by-step explanation:

If a bagel is $0.95 cents, then multiply that by 12, that would be $11.40, so no, her total is not reasonable, even if you round $0.95 to a dollar, 12x1 would be 12, so you can't estimate that to $16.80

~Akmp10

Note that we can compare which one is faster using the velocity or the speed of two items.

Speed is distance divided by the time.

For the Infinite Dimension :

The speed is 18.

For the Rise over run's

Slope is the same as distance divided by the time.

So the speed is 24

Answer:

Step-by-step explanation:

Pi squared

Answer:

9.86960440109

Step-by-step explanation:

3.14159265359 x 3.14159265359

Answer:

see below

Step-by-step explanation:

Angles opposite each other when two lines cross. (see attached)

in the attached example, the angle a° and b° are vertical angles.

Step-by-step explanation:

\(

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

⟶

−10

1

=

v

1

−

−30

1

⟶

v

1

=

−10

1

+

30

1

⟶

v

1

=

30

−3+1

⟶

v

1

=

30

−2

⟶

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

\)

a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

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this table is missing in question, now it's complete.

The constant of proportionality for hours of cups of water is 1/3 . The contestant of proportionality is defined as ratio that relates two given values in what is known as proportional relationship .

Water leaks through roof and collected in bucket. The given table shows how many cups of water collect in the bucket for different number of hours.

As we see in table , the cups of water increases with time (numbers of hours) . If we draw a graph between both by taking water cups values as y- coordinates on y-axis and other as x-coordinates on x-axis then we get a straight line graph ( increasing values) .

Constant of proportionality = time( in hours) / water (cups) = 2/6 = 4/12 = 6/18 = 8/24 = …. = 12/36 = 1/3 for all

So, the constant of proportionality is 1/3

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Answer:

dont u need a picture so we  can answer

Step-by-step explanation:

Answer:

27602.02

Step-by-step explanation:

Principal =  £25,000

Rate of interest = 2% per year.

Number of years = 5 years

Formula,

=> £25000 * (1 + \(\frac{2}{100}\) )^5

=> £25000 * 1.02^5

=> £25000 * 1.1040808

=> £27602.02

Therefore, the amount = £27602.02

Rounded to the nearest penny is £27602.02

Hope it helps :)

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Step-by-step explanation:

11/12-?=2/3

11/12-2/3=?

11-8/12=?

3/12

=1/4

Answer:

? = 1/4

Step-by-step explanation:

11 / 12 - ? = 2 / 3

- ? = 2/3 - 11/12

- ? = - 1/4

? = 1/4

Answer:

20

Step-by-step explanation:

If the ratio of boys is 9 there are 90 boys. If 9=90 then 1= 10. 10 x 2 = 20

I hope this helps :0)

20 girls

Step-by-step explanation:

For every 9 boys there are 2 girls, so, if we have 90 boys, 9x10=90 and then since we have the 10 we use it to do 2x10 to get 20 girls

Answer:

-x^2+5/2x+7/2 = L

Step-by-step explanation:

We know the perimeter of a rectangle is given by

P = 2(L + W)

Substitute what we know

2x^2+5x+9 = 2( L+  2x^2+1)

Distribute

2x^2+5x+9 = 2 L+  4x^2+2

Subtract 4x^2 from each side

2x^2-4x^2+5x+9 = 2 L+  4x^2-4x^2+2

-2x^2+5x+9 = 2 L+2

Subtract 2 from each side 2 from each side

-2x^2+5x+9-2 = 2 L+2-2

-2x^2+5x+7 = 2 L

Divide each side by 2

-2/2x^2+5/2x+7/2 = 2 L/2

-x^2+5/2x+7/2 = L

a) Causal, memoryless, linear, time-invariant.

b) Causal, memoryless, linear, time-invariant.

c) Causal, memoryless, nonlinear, time-invariant.

d) Causal, has memory, nonlinear, time-invariant.

a) The system described by y[n] = x[n] + 2x[n+1] is causal because the output value at any time index n only depends on the current and past input values. It is memoryless since the output at a given time index n does not depend on any past or future inputs. The system is linear because the output is a linear combination of the input values. It is also time-invariant because the system's behavior remains unchanged over time.

b) The system y[n] = u[n]x[n] is causal since the output at any time index n only depends on the current and past input values. It is memoryless because the output at a given time index n does not depend on any past or future inputs. The system is linear because the output is a product of the input signal and a constant. It is also time-invariant because the system's behavior remains unchanged over time.

c) The system y[n] = |x[n]| is causal since the output at any time index n only depends on the current and past input values. It is memoryless because the output at a given time index n does not depend on any past or future inputs. The system is nonlinear because the absolute value operation is a nonlinear operation. It is time-invariant because the system's behavior remains unchanged over time.

d) The system y[n] = ∑(0.5)^n x[i] for i=0 to n is causal since the output at any time index n only depends on the current and past input values. It has memory because the output at a given time index n depends on all past input values up to the current time index. The system is nonlinear because the output is a sum of terms raised to a power, which is a nonlinear operation. It is time-invariant because the system's behavior remains unchanged over time.

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Answer:

750 cm^3

Step-by-step explanation:

VOLUME  = base * height  = 50 cm^2 x 15 cm = 750 cm^3  

To find the probability that a wedding costs between $20,000 and $30,000, we need to calculate the area under the normal distribution curve within that range. The probability that a wedding costs between $20,000 and $30,000 is approximately 0.5586.

We will use the z-score formula to standardize the values. First, we calculate the z-score for $20,000:

z = (X - μ) / σ

z = (20000 - 29858) / 5600

z ≈ -1.75

Next, we calculate the z-score for $30,000:

z = (X - μ) / σ

z = (30000 - 29858) / 5600

z ≈ 0.25

Now, we can look up the corresponding probabilities using a standard normal distribution table or a calculator.

The probability that a wedding costs less than $20,000 can be found by looking up the z-score of -1.75, which is approximately 0.0401.

The probability that a wedding costs less than $30,000 can be found by looking up the z-score of 0.25, which is approximately 0.5987.

To find the probability that a wedding costs between $20,000 and $30,000, we subtract the probability of the lower value from the probability of the higher value:

P(20000 < X < 30000) = P(X < 30000) - P(X < 20000)

= 0.5987 - 0.0401

≈ 0.5586

Therefore, the probability that a wedding costs between $20,000 and $30,000 is approximately 0.5586.

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Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.

It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.

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Answer:

1. 9/10

2. 15/16

4. 3/5

5. 3/5

Step-by-step explanation:

1. 7/10 + 2/10 = 9/10

2. 13/16 + 2/16 = 15/16

4. 7/15 + 2/15 = 9/15 = 3/5

5. 9/20 + 3/20 = 12/20 = 3/5

Answer: 1 r1 for second

Step-by-step explanation: 13/16+2/16=15/16 divide 15/16 gets 1 r1

The density function of their sum U = Y1 + Y2 is given by f(u) = (1/2√π) * exp(-u^2/4), which represents a normal distribution with mean 0 and variance 2.

Let's assume that U = Y1 + Y2, where Y1 and Y2 are independent standard normal random variables.

To find the density function of U, we can use the properties of the sum of independent random variables. The sum of two independent normal random variables is also a normal random variable. Since Y1 and Y2 are standard normal random variables, their sum U will also be a normal random variable.

The mean of U can be calculated as the sum of the means of Y1 and Y2, which is 0 + 0 = 0.

The variance of U can be calculated as the sum of the variances of Y1 and Y2, which is 1 + 1 = 2.

Therefore, the density function of U is given by the standard normal distribution with mean 0 and variance 2, which can be denoted as N(0, 2).

The density function of a standard normal distribution is given by:

f(u) = (1/sqrt(2πσ^2)) * exp(-(u-μ)^2 / (2σ^2))

Plugging in the values of mean (μ = 0) and variance (σ^2 = 2) into the formula, we get:

f(u) = (1/sqrt(4π)) * exp(-u^2/4)

So, the density function of U is:

f(u) = (1/2√π) * exp(-u^2/4)

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The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

A. 24 ÷ [6 − 2] × 5 + 6

Step-by-step explanation:

Sarah's teacher wrote this expression on the whiteboard. 24 ÷ 6 − 2 × 5 + 6 Where could she place brackets in the expression for it to be equal to 36? A. 24 ÷ [6 − 2] × 5 + 6 B. 24 ÷ 6 − [2 × 5 + 6] C. [24 ÷ 6] − 2 × 5 + 6 D. 24 ÷ 6 − 2 × [5 + 6]

Rule of operations

BODMAS

B = Bracket

O = 0f

D = Division

M = Multiplication

A = Addition

S = Subtraction.

Check all options

A. 24 ÷ [6 − 2] × 5 + 6

= 24 ÷ (4) × 5 + 6

= 6 × 5 + 6

= 30 + 6

= 36

B. 24 ÷ 6 − [2 × 5 + 6]

= 4 - (10 + 6)

= 4 - 10 + 6

= 0

C. [24 ÷ 6] − 2 × 5 + 6

= 4 - 10 + 6

= 0

D. 24 ÷ 6 − 2 × [5 + 6]

= 4 - 2(11)

= 4 - 22

= -18

Option A is the correct answer

Answer: I believe Ms. Rios mowed more, hope this helps!

To find the angle θ of the net force at time t = 6.87 s, we need to first find the x and y components of the net force, and then use the inverse tangent function to find the angle.

The x component of the net force is given by:

Fₙₑₜ,ₓ = m aₓ = (8.50 kg)(0.43 m/s² + 0.79 m/s³(6.87 s)) = 3.63 N

The y component of the net force is given by:

Fₙₑₜ,ᵧ = m aᵧ = (8.50 kg)(11.9 m/s² - 0.63 m/s³(6.87 s)) = 92.52 N

The magnitude of the net force is given by:

|Fₙₑₜ| = sqrt(Fₙₑₜ,ₓ² + Fₙₑₜ,ᵧ²) = sqrt(3.63² + 92.52²) = 92.67 N

The angle θ of the net force is given by:

θ = tan⁻¹(Fₙₑₜ,ᵧ / Fₙₑₜ,ₓ) = tan⁻¹(92.52 N / 3.63 N) = 86.5°Therefore, the angle θ of the net force at time t = 6.87 s is approximately 86.5° counter-clockwise from the +x-axis.

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Answer:

9. The 5 bags for $25 is a better deal

10. You would need $16.72

Step-by-step explanation:

9. Divide 25/5=5 and 42/7=6

The 5 bags for $25 is a better deal because it's the smallest answer.

10. Divide $12.54/6=$2.09 per book

Multiply $2.09*8=$16.72 for 8 books

Answer:

9. The 5 bags for $25.00 is the best offer.

10. 8 books is $16.72.

Step-by-step explanation:

9. Because you have to find out how much each bag costs so you divide the total cost by the ammount of bags. When you do this you get $5 dollars a bag for the 5 bags and $6 dollars a bag for the 7 bags.

10. You need to find out how much each book cost so you divide the amount of money by 6 and you get $2.09. Then you multiple 8 by 2.09 and you get 1672 but then you have to move the decimal to the left two times and you end up with $16.72.

The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.

What is statistical significance?

Statistical significance is a determination made by an analyst that the results in the data are not explainable by chance alone. Statistical hypothesis testing is the method by which the analyst makes this determination.

Now,

It is presumed that the test mentioned is the t-test since it is used for two samples.

statistical significance is determined by t-t test.

The likelihood that a difference is statistically significant increases with increasing t-value.

The likelihood that the difference between two means is statistically significant therefore increases if:

a significant mean difference;

the samples are substantial;

The samples' standard deviations are lower.

Hence, The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.

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Answer:

Step-by-step explanation:

the equatoin is 4x+77=497

and x is the hours spent

so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105

Answer:

6 seconds

Step-by-step explanation:

h(x)=-(x-2)^2+16

We want h(x) to be 0 ( that is when the ball hits the ground)

0 = -(x-2)^2+16

Subtract 16 from each side

-16  = -(x-2)^2+16-16

-16 = -(x-2)^2

Divide by -1

16 = (x-2)^2

Take the square root of each side

sqrt(16) = sqrt((x-2)^2)

±4 = x-2

Add 2 to each side

2±4 = x-2+2

2±4 =x

2+4 = x   2-4 = x

6 =x  -2 =x

Time cannot be negative so x=6

Answer:

X = 6

Step-by-step explanation:

hope it will help you