Homework Help ASAP

Find the difference. Write your answer in the simplest form
3/4 - 3/8

Find the sum. Write your answer in the simplest form
2/7 + 2/5

Using the shifting property, we get the Laplace transform of e^(-t)cos(at) as [(s/(s^(2)+a^(2))) / (s+1-a)] = s / [(s+1-a)(s^(2)+a^(2))].

To find the Laplace transform of e^(-t)cos(at), we use the shifting property of the Laplace transform. The shifting property states that if L{f(t)} = F(s), then L{e^(at)f(t)} = F(s-a).

In this case, we can rewrite e^(-t)cos(at) as the product of two functions: e^(-t) and cos(at). We know that the Laplace transform of e^(-t) is 1/(s+1),

so we can write the Laplace transform of e^(-t)cos(at) as the product of the Laplace transform of e^(-t) and the Laplace transform of cos(at) shifted by a. The Laplace transform of cos(at) is (s/(s^(2)+a^(2))), so the Laplace transform of e^(-t)cos(at) is (s/(s^(2)+a^(2))) / (s+1-a).

Therefore, using the shifting property, we get the Lalace transform of e^(-t)cos(at) as [(s/(s^(2)+a^(2))) / (s+1-a)] = s / [(s+1-a)(s^(2)+a^(2))].

We can further simplify this expression by using partial fraction decomposition and solving for the constants using algebraic equations. Finally, we can write the Laplace transform of e^(-t)cos(at) as (s+1)/[(s+1)^(2)+a^(2)].

To know more about function click here

brainly.com/question/28193995

#SPJ11

Answer:

N

Step-by-step explanation:

Since it says y is greater then 1 it would be above the red line.

Then for the next equation, it says that y is less than the equation so it is under the blue line.

Answer: The solution is (4,1)

Step-by-step explanation:

You can tell if it is a solution by looking at the point where the two lines intersect(meet). This is why the solution is (4,1).

The probability that exactly one of the new sites produces oil is approximately 0.393 or 39.3%.

The experiment consists of a fixed number of trials: In this case, the experiment is the drilling of 6 new sites, which is a fixed number.

Each trial has only two possible outcomes: In this case, the outcomes are either the site produces oil or it does not.

Now, let's calculate the probability that exactly one of the new sites produces oil using the binomial probability function. The formula for the binomial probability function is:

P(X = x) = (n choose x) x pˣ x (1-p)ⁿ⁻ˣ

Where:

n is the number of trials (in this case, 6)

x is the number of successes we want to calculate the probability for (in this case, 1)

p is the probability of success (in this case, 0.2)

Using this formula, we can calculate the probability as follows:

P(X = 1) = (6 choose 1) x 0.2¹ x 0.8⁵

= 6 * 0.2 * 0.32768

= 0.3932 or 39.32%

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer: There are no negatives

Step-by-step explanation:

The area of square abcd is  be parallel lines passing through $a$, $b$, $c$, respectively is the 433.

Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.

Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.

The distance is 12 and 17

x^2 = 12^2 + 17^2 = 144 +289 = 433

433 is the total that is the area of square of abcd.

Thus the area = 433.

Read more about quadrilateral :

https://brainly.com/question/23935806

#SPJ4

Answer:

answer is 7

Step-by-step explanation:

one point is at (1,3) and the other at (0,-4)

to get slope y2-y1 / x2-x1

so -4-3 / 0-1

-7/-1

so answer is 7

Following a reflection over the x-axis and a translation I unit to the left, the transformations will translate the trapezoid RSTU onto the trapezoid NMLK.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Translation, rotation, reflection, and expansion are the four different types of transformation. Geometry. The x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y). The X axis reflection rule states that each point's y-coordinate must be negative while the x-value must remain constant.

Therefore the correct answer is option A) reflection over the y-axis, then a translation I unit to the right.

To learn more about transformation refer to :

https://brainly.com/question/29788009

#SPJ1

Answer:

59 degrees

Step-by-step explanation:

180-62=118

118/2=59

Answer:

4th Option

Step-by-step explanation:

Answer:

98 ft²

Step-by-step explanation:

Answer:

98 ft²

Step-by-step explanation:

Want points

Answer:

x = ± 2√2

Step-by-step explanation:

Assuming "x2" is x^2 or "x squared", the answer can be derived from "square-rooting" both sides.

√ x^2 = √ 8

Then we simplify.

x = ± 2√2

Hope this helps!

Answer:

the answer is A.

Step-by-step explanation:

Don't have time to write the steps now because i am in class but i might later.

Answer:

8

Step-by-step explanation:

The length of one side must be less than the length of the other two sides combined.

Answer:

\(x =\dfrac 12\left( -5 +\sqrt{13} \right)\\\\ x =\dfrac 12\left( -5 -\sqrt{13} \right)\)

Step-by-step explanation:

\(~~~~~x^2 = -5x -3 \\\\\\\implies x^2 +5x =-3\\ \\\implies x^2 + 2 \cdot \dfrac 52 \cdot x + \left( \dfrac 52 \right)^2 = -3 + \left( \dfrac 52 \right)^2\\\\\\\implies \left(x + \dfrac 52 \right)^2 = -3 + \dfrac{25}4\\ \\\\\implies \left(x + \dfrac 52 \right)^2 = \dfrac{13}{4}\\\\\\\implies x+ \dfrac 52 = \pm\sqrt{ \dfrac{13}4}\\\\\\\implies x + \dfrac 52 = \pm\dfrac{\sqrt{13}}{2}\\\\\\\implies x = -\dfrac 52\pm\dfrac{\sqrt{13}}{2}\\\\\\\)

\(\implies x =\dfrac 12\left( -5 \pm \sqrt{13} \right)\)

Answer:

The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

We know that the diameter of the circle is 10 ft, so the radius is half of that:

r = 10 ft ÷ 2 = 5 ft

Now we can plug in this value for r into the formula:

A = π(5 ft)^2

A = π(25 ft^2)

A ≈ 78.54 ft^2

Rounding this to the nearest whole number, we get:

A ≈ 79 ft^2

Therefore, the area of the circle to the nearest whole number is 79 square feet.

Answer:

79ft^2

Step-by-step explanation:

diameter=10ft

radius=5ft

5^2=25ft

25×π=25π

25π= 78.539....

to nearest whole number =79ft^2

Answer:

31

Step-by-step explanation:

\((5+1)^2-(11+3^2)/4\)

\((5+1)^{2} \\= 25+5+5+1\\= 36\)

36 - (11+9)/4

= 36 - 20/4

= 36 - 5

= 31

Answer:

Step-by-step explanation:

(5+1)²-(11+3²)÷4

=(6)²-(11+9)÷4

=36-(20)÷4(we use DMAS rule here)

=36-5

=31

Answer:

22.5

Step-by-step explanation:

first of all, the first sign in the designations of the triangles is not an A. it is the Greek Delta (capital) sign. standing for "triangle" due to its shape.

as the diagram shows (and the description says correctly), ADL and AKM are similar triangles.

that means they have the same angles.

and in order to keep the same angles even when the lengths of the sides are different, the relative relation of the side lengths must be the same for all sides.

that means, if one side changes by a factor f, then both other sides must change by the same factor.

so, by checking the change factor for AD (to AK), we can then determine the change of AL to AM. and then we simply subtract AL from AM and get LM.

the original AD = 14.

AK = AD + DK = 14 + 21 = 35

the change factor f is then AK/AD = 35/14 = 5/2

in other words AD grew by a factor of 5/2.

AM is then created by applying the same factor to AL.

=> AM = 15 * 5 / 2 = 75 / 2 = 37.5

=> LM = AM - AL = 37.5 - 15 = 22.5

Step-by-step explanation:

intindihin nyo na lang.

The fraction when a 100-square grid has 70 shaded squares will be 7/10.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

In this case, a 100-square grid has 70 shaded squares.

The fraction will be:

= Number it shaded square / Total square

= 70 / 100

= 7 / 10

Learn more about fractions on:

https://brainly.com/question/78672

#SPJ1

A 100-square grid has 70 shaded squares. Explain how you could express this model as a fraction.

Answer:

The fraction when a 100-square grid has 70 shaded squares will be 7/10.

The temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C.

To work out the temperature at the summit of Ben Nevis, we can use the formula:

Temperature at summit = Sea level temperature - (Altitude above sea level / 100) ×Temperature change per 100 metres

We are given that the sea level temperature is 5°C and the height of Ben Nevis is 1300 metres above sea level, and the temperature decreases by 1°C for every 100 metres above sea level.

So, after putting the values into the formula:
Temperature at summit = 5 - (1300/100) × 1 = -15°C

Therefore, the temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C

To learn more about Temperature:

https://brainly.com/question/25677592

https://brainly.com/question/1726738

Answer:

One milliampere is equal to 0.001 ampere.

Step-by-step explanation:

Mili, refers to thousandth. (for example, millimeter or milliliter.)

Answer:

f(g(4)) = 213

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 8x + 5

g(x) = 7x - 2

Step 2: Find f(g(4))

\(\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}\)

Here,

f(x) = 8x + 5 and g(x) = 7x - 2,

we have to find the f(g(4))

1st we have to solve the g(x)

Now substitute the functional value,

.°. The value of f(g(4)) is 213.

Answer: The tip is $14.00

Step-by-step explanation: 20% of 70 is 14.

74.95 or 75 I think

Step-by-step explanation:

I put it into a triangle calculator, so it could be wrong.

The measure of the angle S from the given triangle QRS is 65°.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔQRS, q = 99 cm, r = 17 cm and s=96 cm.

96²=99²+17²-2×99×17cosS

9216=9801+289-198cosS

-874=-198cosS

cosS=4.14

∠S=65°

Therefore, the measure of the angle S is 65°.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ2

For a normal distribution with mean (μ) = 60 and standard deviation (σ) = 12, the following are the probability values:P(X >66) = 0.3085, P(X < 75) = 0.8944, P(X < 57) = 0.4013 and P(48 < X < 72) = 0.6826.

The normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric around the mean. It is commonly used in statistics because many phenomena in the natural world, such as height and weight, tend to follow a normal distribution. To calculate probabilities for a normal distribution, we can use the standard normal distribution. we can use a standard normal distribution table or a calculator to find the probabilities of interest.

P(X >66)

P(X > 66) is the probability that X is greater than 66. To find this probability, we will use the standard normal distribution:

z = (x - μ)/σ = (66 - 60)/12 = 0.5

P(Z > 0.5) = 1 - P(Z < 0.5) = 1 - 0.6915 = 0.3085

Therefore, P(X >66) = 0.3085

p(X < 75)

P(X < 75) is the probability that X is less than 75. To find this probability, we will use the standard normal distribution:

z = (x - μ)/σ = (75 - 60)/12 = 1.25

P(Z < 1.25) = 0.8944

Therefore, P(X < 75) = 0.8944

p(X < 57)

P(X < 57) is the probability that X is less than 57. To find this probability, we will use the standard normal distribution:

z = (x - μ)/σ = (57 - 60)/12 = -0.25

P(Z < -0.25) = 0.4013

Therefore, P(X < 57) = 0.4013

p(48 < X < 72)

P(48 < X < 72) is the probability that X is between 48 and 72. To find this probability, we will first find the probabilities of X being less than 48 and 72 and then subtract:

P(X < 48)z = (x - μ)/σ = (48 - 60)/12 = -1

P(Z < -1) = 0.1587

P(X < 72)z = (x - μ)/σ = (72 - 60)/12 = 1

P(Z < 1) = 0.8413

Therefore,P(48 < X < 72) = P(X < 72) - P(X < 48) = 0.8413 - 0.1587 = 0.6826

For a normal distribution with mean (μ) = 60 and standard deviation (σ) = 12, we found the probabilities: P(X >66) = 0.3085, P(X < 75) = 0.8944, P(X < 57) = 0.4013 and P(48 < X < 72) = 0.6826. These probabilities were found by converting the normal distribution to the standard normal distribution using the formula z = (x - μ)/σ and then using a standard normal distribution table or a calculator to find the probabilities of interest.

To know more about probability visit:

brainly.com/question/32004014

#SPJ11

Answer:

x=8

Step-by-step explanation:

x^(2)=64

Square root both sides of your equation to isolate your x.

x=\(\sqrt{64}\)

x=8

Hey there!

x^2 = 64

TAKE the SQUARE ROOT OF 64

√64 = 8 or -√64 = 8

Thus, your answer should be: x = 8 or x = -8

Good luck on your assignment & enjoy day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Cos(theta) = adjacent / hypotenuse.

Adjacent = 29

Hypotenuse = 31

Cos(theta) = 29/31

Cos(theta) = 0.5355

theta= cos-1(0.5355)

theta = 20.69

Answer: (Rounded) = 21

The appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

To find the appropriate test statistic for a 2-sample z-test for two proportions, we need to calculate the standard error and then use it to compute the z-score. The formula for the standard error is:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

Where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

In this case, we have the following values:

X1 = 24 (number of successes in sample 1)

n1 = 200 (sample size 1)

X2 = 17 (number of successes in sample 2)

n2 = 150 (sample size 2)

To calculate the sample proportions, we divide the number of successes by the respective sample sizes:

p1 = X1 / n1 = 24 / 200 = 0.12

p2 = X2 / n2 = 17 / 150 = 0.1133

Now, we can plug these values into the formula to calculate the standard error:

SE = sqrt[(0.12 * (1 - 0.12) / 200) + (0.1133 * (1 - 0.1133) / 150)]

SE ≈ 0.0319

Finally, the test statistic (z-score) is calculated by subtracting the two sample proportions and dividing by the standard error:

Z = (p1 - p2) / SE

Z = (0.12 - 0.1133) / 0.0319

Z ≈ 0.2103

Therefore, the appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

Learn more about decimals here: brainly.com/question/30958821

#SPJ11

Answer:

Dublin Village Jewelry's is a family owned and operated full service fine jewelry store located in the heart of Dublin, Ohio. We are passionate about what we do and pride ourselves on providing our clients with a fun, pressure free shopping experience. We carry beautiful, ethically sourced, high quality bridal and fine jewelry as well as luxury timepieces, all at excellent values.

Step-by-step explanation:

Make sure you press this to brainliest

Answer:

City M is colder then city L  because city L is closer to the midle/the 0

Step-by-step explanation: