Find 75 % of £80 tell me 5he answer

Answer:

x = 3

Step-by-step explanation:

2.5/x = 10/12

Multiply both sides by x

2.5 = 10/12x

Divide both sides by 10/12

3 = x

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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The algebraic expression G x C, where G represents the total number of gallons needed and C represents the cost per gallon.

In mathematics, an expression is a combination of one or more numbers, variables, and/or operators that represent a quantity or a mathematical relationship.

To calculate the total cost of gasoline, we first need to determine how many gallons of gasoline will be needed for the entire trip. This can be done by dividing the total distance traveled by the car's miles per gallon (MPG) rating. Let's use "G" to represent the total number of gallons needed.

G = Total Distance Traveled / MPG

To find the total cost of gasoline, we can multiply the number of gallons needed by the cost per gallon. Let's use "T" to represent the total cost of gasoline.

T = G x C

Using the expression we developed earlier, we can now find the total cost of gasoline for the full-size car:

=> T = G x C

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Complete Question:

Four friends plan to rent a car to go on a camping trip. They will drive a total of 450 miles. The cost of gasoline is $2.20 per gallon Type of Car SUV Full size Compact Rental Cost $283 $215 $183 Insurance Cost $120 $108 $95 Miles per Gallon 24 25 33 Total Gas Cost $ $ $ Cost per Person.

Write an algebraic expression for the total cost of the gasoline.

The correct answer is A, as this is an example of benchmarking.

Benchmarking describes a test procedure to compare the performance of devices, systems or organizations. It is a way for organizations to learn from each other, be accountable and facilitate supervision.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

zzz the answer is 8.9

\(\huge \text{Hello there! :)}\)

Answer:

The algebraic expression is as followed:

Step-by-step explanation:

Given the following question:

If you have any doubts about my answer please let me know.

\(-Nature-\)

\(\huge \text{Thanks for choosing Brainly! :)}\)

Answer:

Start at -2 on the graph on the y axis (the line that goes up and down) and then go up one square and to the right one square all the way up and then draw the line

Step-by-step explanation:

The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.

We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is

\(D(h)=25 {e}^{ - 0.4 h}\)

We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.

\(6 = 25 {e}^{ - 0.4h} \)

\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)

\(0.24= {e}^{ - 0.4h} \)

Taking logarithm both sides of above equation , we get,

\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)

Using the properties of natural logarithm,

\( \ln(0.24) = - 0.4h\)

\( - 1.427116356 = - 0.4h\)

\(h = \frac{1.42711635}{0.4} = 3.56779089\)

=> h = 3. 6

So, after 3.6 hours, the patient needs to be injected again.

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\(f(x) = - \sqrt{x + 5 + 4} + 1 - 3\)

\(f(x) = - \sqrt{x + 9} - 2\)

The angle pairs by parallel lines cut by a transversal are corresponding angles, interior/exterior angles etc.

Many angle pairs are created when a transversal crosses a pair of parallel lines. They consist of the following:

Corresponding angles: The positions on either side of the transversal and on the opposing sides of the parallel lines are referred to as corresponding angles. If the parallel lines are sliced by the transversal, then the corresponding angles are congruent and have the same measure.

Interior angles: These are a pair of angles that are inside parallel lines and on the opposing sides of the transversal. If the transversal cuts the parallel lines, alternate inner angles are equivalent.

External angles: These are a pair of angles that are outside the parallel lines and on the opposing sides of the transversal. If the transversal cuts the parallel lines, then alternate exterior angles are congruent.

Vertical angles: These are opposite-to-each pairs of angles created by the junction of two lines. By definition, these are the angles that are congruent, which means having the same measure.

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We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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Answer:

here's the answer to your question

Answer: √18

√(4-1)^2 + (5-2)^2

√9 + 9

√18

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Part A - i. 0.68 N ii. 1.88 N

Part B - The wagon will move slowly while being raised up off the ground.

Step-by-step explanation:

Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.

Since the force of 2 N is exerted at this new angle of 70°,

i. the horizontal component u = 2cos70° = 0.684 N ≅ 0.68 N and its

ii. vertical component, v = 2sin70° = 1.879 N ≅ 1.88 N

Part B: What implications does this have for pulling the wagon? Explain.

Since we have a horizontal component of 0.68 N and a vertical component of 1.88 N, most of the force is used in raising the wagon off of the ground with less of it moving it forward. So, the wagon will move slowly while being raised up off the ground.

An acceptable residual plot exhibits constant error variance. Therefore, option c) is correct.

An acceptable residual plot exhibits c) constant error variance. This means that the spread of the residuals is consistent across all values of the predictor variable, indicating that the model's assumptions are being met.

Residual plots with increasing or decreasing error variance (a or b) suggest that the model is not adequately capturing the relationship between the predictor and response variables.

A curved pattern (d) suggests that the model is not linear and may require a different approach, such as a quadratic or logarithmic model.

A mixture of increasing and decreasing error variance (e) suggests that the model may not be appropriate for the data and may need to be revised.

In a good residual plot, the points should be randomly scattered around the horizontal axis, showing no discernible pattern, and maintaining a constant variance throughout. This indicates that the model's assumptions are met and its predictions are reliable.

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To solve this system of equations by addition, our first goal is to cancel

out one of the variables by adding the two equations together.

However, if we add these two equations together right away, nothing

will cancel so we need to set things up so a variable will cancel.

Notice that we have an 2x in our second equation.

If we had a -2x in our first equation, then the x's would cancel out.

In order to create a -2x in the first equation, we simply

multiply both sides of the first equation by -2.

So we have (-2)(x - 2y) = (-4)(-2) which can be rewritten as -2x + 4y = 8.

Now rewrite both equations, as shown below.

Now when we add the equations together, the x terms

will cancel out and we're left with 5y = 15.

Dividing both sides by 5, y = 3.

To solve for x, plug a 3 in for y in either one of our 2 original equations.

So let's go with our second equation.

Plugging a 3 in for y, we get 2x + (3) = 7.

Now subtract 4 from both sides to get 2x = 4.

Dividing both sides by 2, we fid that x = 2.

Since x = 2 and y = 3, our answer is the ordered pair (2, 3).

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

Circumference of circle =2πr=2π×10.5=21πm

Step-by-step explanation:

Answer:

okay????

Step-by-step explanation:

Can I have the crown thingy?

Answer:

uhm

Step-by-step explanation:

The equivalent expression for the given polynomial, 4x(2x-3)-5(3x-4), in standard form is 23x² - 37x + 20.

To write the given polynomial in standard form, we need to simplify and combine like terms.

First, we apply the distributive property to expand the expression:

4x(2x-3)-5(3x-4) = 8x² - 12x - 15x + 20.

Next, we combine like terms by adding or subtracting coefficients of similar powers of x:

8x² - 12x - 15x + 20 = 8x² - 27x + 20.

Finally, we rearrange the terms in descending order of degree, which is the standard form for a polynomial:

8x² - 27x + 20.

Therefore, the equivalent expression for the given polynomial in standard form is 8x² - 27x + 20.

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Answer:

D

Step-by-step explanation:

Answer:

A. 1809.6 cm²

Step-by-step explanation:

The formula for the surface area of a sphere is:

Surface Area = 4πr^2

where r is the radius of the sphere.

Substituting the given value of radius, r = 12cm, we get:

Surface Area = 4π(12)^2

= 4π(144)

= 576π

≈ 1809.6 cm² (rounded to the nearest tenth)

Therefore, the answer is (a) 1809.6 cm²

Answer:

mean   (1/6){92 + 97 + 53 + 90 + 95 + 98}

= 87.5

variance (1/6){(92-87.5)^2 + (97-87.5)^2 + (53-87.5)^2 + (90-87.5)^2 + (95-87.5)^2 + (98-87.5)^2}

= 245.6

standard deviation   √{1/6*[(92-87.5)^2 + (97-87.5)^2 + (53-87.5)^2 + (90-87.5)^2 + (95-87.5)^2 + (98-87.5)^2]}

= 15.7

Answer:

17

Step-by-step explanation:

because 19 students for the other in total (you add the ones who study biology and the ones who study both, then you minus the group of students by 19)

Answer:

21

Step-by-step explanation:

this is really easy so what you do is

you know 13 study bio and NOT art

we also know 2 student study neither subject

so lets just do 36-15

which is 21, this 21 does include the 6 that study both and the rest we can safely assume study art

The exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

Prοbability can be defined as ratiο οf number οf favοurable οutcοmes and tοtal number οutcοmes.

(a) Tο find the exact prοbability that there wοuld be exactly 70 accidents at the intersectiοn in οne year, we can use the Pοissοn distributiοn fοrmula:

P(X = k) =( \(e^{(-λ)\) * \(λ^k\)) / k!

where X is the number of accidents, λ is the average rate of accidents per week (1.4), and k is the number of accidents we're interested in (70).

To find the probability of 70 accidents in one year, we need to adjust the value of λ to reflect the rate over a full year instead of just one week. Since there are 52 weeks in a year, the rate of accidents over a year would be 52 * λ = 72.8.

So, we have:

P(X = 70) = (\(e^{(-72.8)\)* \(72.8^(70)\)) / 70!

Using a calculatοr οr sοftware, we can evaluate this expressiοn and find that:

P(X = 70) ≈ 0.00382

Therefοre, the exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

(b) Tο use the nοrmal distributiοn as an apprοximatiοn, we need tο assume that the Pοissοn distributiοn can be apprοximated by a nοrmal distributiοn with the same mean and variance. Fοr a Pοissοn distributiοn, the mean and variance are bοth equal tο λ, sο we have:

mean = λ = 1.4

variance = λ = 1.4

Tο use the nοrmal apprοximatiοn, we need tο standardize the Pοissοn randοm variable X by subtracting the mean and dividing by the square rοοt οf the variance:

\(Z = (X - mean) / \sqrt{(variance)\)

Fοr X = 70, we have:

Z = (70 - 1.4) / \(\sqrt{(1.4)\) ≈ 57.09

We can then use a standard nοrmal table οr calculatοr tο find the prοbability that a standard nοrmal randοm variable is greater than οr equal tο 57.09. This prοbability is extremely small and practically 0, indicating that the nοrmal apprοximatiοn is nοt very accurate fοr this particular case.

Therefοre, the exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

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The approximation using the normal distribution gives a probability of approximately 0.3300 that there would be exactly 70 accidents at this intersection in one year.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

(a) Using the Poisson distribution, the probability of exactly 70 accidents at this intersection in one year (i.e., 52 weeks) is:

P(X = 70) = (e^(-λ) * λ^x) / x!

where λ = average rate of accidents per week = 1.4

and x = number of accidents in 52 weeks = 70

Therefore, P(X = 70) = (e^(-1.4) * 1.4^70) / 70! ≈ 3.33 x 10^-23

(b) We can use the normal approximation to the Poisson distribution to approximate the probability that there would be exactly 70 accidents at this intersection in one year. The mean of the Poisson distribution is λ = 1.4 accidents per week, and the variance is also λ, so the standard deviation is √λ.

To use the normal distribution approximation, we need to standardize the Poisson distribution by subtracting the mean and dividing by the standard deviation:

z = (x - μ) / σ

where x = 70, μ = 1.452 = 72.8, σ = √(1.452) ≈ 6.37

Now we can use the standard normal distribution table to find the probability that z is less than or equal to a certain value, which corresponds to the probability that there would be exactly 70 accidents at this intersection in one year:

P(X = 70) ≈ P((X-μ)/σ ≤ (70-72.8)/6.37)

≈ P(Z ≤ -0.44)

≈ 0.3300

Therefore, the approximation using the normal distribution gives a probability of approximately 0.3300 that there would be exactly 70 accidents at this intersection in one year.

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Answer:60%

Step-by-step explanation:

90-36=54 54/90 = 60

60%

The measure of DE, given that Triangle ABC is similar to Triangle DEF, is 53. 09 units .

To find the measure of DE, you need to use the corresponding sides of BC and EF to find the scale factor that shows the difference in the sizes of corresponding sides.

The scale factor is:

= 31 / 8

= 3. 875

Now, since the value of the corresponding side of AB is 13.7 units, the measure of DE would be :

= 13. 7 x 3. 875

= 53. 09 units

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Answer:

1.2

Step-by-step explanation:

Convert 8÷6.4038÷6.403 to a decimal.

1.249414331.24941433

Find the number in the tenth place 22 and look one place to the right for the rounding digit 44. Round up if this number is greater than or equal to 55 and round down if it is less than 55.

1.21.2

Need more help?

The sequence 2 − 2 · 7 + 2 · 7² − · · · + 2(−7)ⁿ =  (1 − \((-7)^{n+ 1}\))/4. hold whenever n is a nonnegative integer using mathematical induction .

Sequence is equal to,

2 − 2 · 7 + 2 · 7² − · · · + 2(−7)ⁿ

Prove this by mathematical induction.

Base case,

When n=0, we have ,

2 = (1 - (-7)¹)/4, which is true.

Inductive step,

Assume that the formula holds for some integer k,

2 − 2 · 7 + 2 · 7² − · · · + 2\((-7)^{k}\)= (1 − \((-7)^{k+ 1}\))/4

Show that it also holds for k+1, .

2 − 2 · 7 + 2 · 7² − · · · + 2 \((-7)^{k+ 1}\)) = (1 −  \((-7)^{k+2}\)))/4

Starting with the left-hand side of the equation for k+1,

2 − 2 · 7 + 2 · 7² − · · · + 2 \((-7)^{k+ 1}\))

= 2 − 2 · 7 + 2 · 7² − · · · + 2\((-7)^{k}\) + 2 \((-7)^{k+ 1}\))

Using the induction hypothesis,

Substitute (1 −  \((-7)^{k+ 1}\))/4 for the first term in brackets,

= (1 −  \((-7)^{k+ 1}\)))/4 + 2 \((-7)^{k+ 1}\))

= (1 − \((-7)^{k+ 1}\))+ 8 \((-7)^{k+ 1}\)))/4

= (1 −  \((-7)^{k+2}\)))/4

Therefore, by mathematical induction holds for all nonnegative integers n implies 2 − 2 · 7 + 2 · 7² − · · · + 2(−7)ⁿ =  (1 − \((-7)^{n+ 1}\))/4.

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