David Smith and his 2 children are going to a zoo.The admission price is:
Adult: £60
Child: £45
David has a family discount card.
Family Discount Card gives
1/4
off adult price
40% off child price
Work out the total price David pays after using his discount card

The approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°. None of the provided answer choices match the correct answer.

To calculate the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th, we can use the analemma.

The analemma is a figure-8 shaped curve that represents the position of the Sun in the sky at the same time each day over the course of a year. It accounts for the Earth's axial tilt and elliptical orbit around the Sun.

To find the approximate noon Sun angle, we need to consider the declination of the Sun on February 14th and the latitude of Long Island.

On February 14th, the Sun's declination is approximately -12°.

The Sun angle at noon can be calculated using the following formula:

Sun angle = 90° - (latitude - declination)

Substituting the values, we have:

Sun angle = 90° - (41° - (-12°))

Simplifying this equation, we get:

Sun angle = 90° - 41° + 12°

Sun angle = 61°

Therefore, the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°.

None of the provided answer choices match the correct answer.

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Answer:

i think D is the correct answer

The differential equation

y''' - 5y'' + 7y' - 3y = 0

has characteristic equation

r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0

with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is

y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)

The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.

To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.

Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.

First, let's convert the packet size from bytes to bits:

Packet size = 1500 bytes

1 byte = 8 bits

1500 bytes * 8 bits/byte = 12000 bits

Now, we need to divide the packet size by the network speed to calculate the time:

Time = Packet size / Network speed

For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:

Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds

Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.

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The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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The number that Anthony should multiply the prices on the tags by to get how much he needs to pay before tax is 0. 84.

The price of an item that has been discounted by the discount offered to Anthony can be found by the formula :

= Price of item x ( 1 - discount rate )

= Price of item x ( 1 - 16 %)

= Price of item x 0. 84

This means that to find the discounted price of any item in the store, Anthony just needs to multiply it by 0. 84.

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Answer:

yes

Step-by-step explanation:

three is a factor of 12 because you can multiply it by 4 and you get 12 (a factor is a number you can multiply by another to give you a product)

The 3rd term in the given sequence is 45

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given that, first and nth term of a sequence a₁ = 4 and aₙ = 3aₙ₋₁ + n

a₁ = 4

aₙ = 3aₙ₋₁ + n

So, a₂ = 3a₂₋₁ + 2

= 3a₁ + 2

= 3×4+2

= 14

Therefore,

a₃ = 3a₋₁ + 3

= 3a₂ + 3

= 14×3+3

= 45

Hence, a₃ = 45

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The term used to describe the insertion of other organism's DNA into the genome of another organism is "transgenetic."

Transgenetic refers to the process of introducing foreign genes or DNA into an organism's genome. This can be done through various techniques such as genetic engineering or genetic modification. The purpose of transgenetic techniques is to alter the genetic makeup of an organism by adding genes from another organism. These inserted genes may code for specific traits, functions, or characteristics that are desired in the recipient organism. By incorporating the foreign DNA into the genome, the recipient organism can express the traits encoded by those genes. Transgenetic techniques have been widely used in various fields such as agriculture, medicine, and research to produce genetically modified organisms (GMOs) or to study gene functions and genetic diseases.

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Answer:

- 5

Step-by-step explanation:

Solve for x

4-2(×+7)=3(×+5)

We open the bracket :

4 - 2x - 14 = 3x + 15

Collect like terms

-2x - 3x = 15 + 14 - 4

-5x = 25

Divide both sides by - 5

-5x/-5 = 25 / - 5

x = - 5

The relationship between the amount of supervisors as well as the number of baby unicorns is shown by the equation n = 81.9 * u.

Let n become the number of supervisors and u be the quantity of baby unicorns.

There are 18 unicorns for every 22 supervisors just at unicorn daycare center.

This means that each supervisor is responsible for 18/22 unicorns = 81.9.

Supervisors and unicorns have a n = 81.9 * u relationship.

Thus, the relationship between the amount of supervisors as well as the number of baby unicorns is shown by the equation n = 81.9 * u.

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Answer:

The answer is y=2/5x+74/5 if you need the explanation just look at the images

Answer:

THE ANSWER IS 75 FEET

Step-by-step explanation:

#TY

Have a good day (⁠•⁠‿⁠•⁠)

#J.r'

Answer:

9

Step-by-step explanation:

9, 18, 12, 9, 13, 22, 8, 23, 16, 17

Mode is the number that appears most often

Listing numbers in order from smallest to largest helps to see how many of each number

8,9,9,  12, 13,16,17 ,18, 22, 23,

We see the number 9 appears most often

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy

The measure of an exterior angle in a square is 360 degrees, since all four angles of a square are equal and add up to 360 degrees.

The measure of an exterior angle in a square is 360 degrees. This is because all four angles of a square are equal and add up to 360 degrees. An exterior angle of a square is an angle formed between two adjacent sides of the square when an imaginary line is drawn from one vertex to the other. The two sides that form the exterior angle will always be of equal length and the angle itself will always measure the same amount. In the case of a square, the angle will always measure 360 degrees. This is because the two sides of the square will always be equal and the sum of the interior angles of a square is always 360 degrees. So, the measure of an exterior angle in a square is 360 degrees.

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Answer:

(1) {-1/4, 0, 3}

Step-by-step explanation:

Step 1: Factor left side of equation.

2x(4x+1)(x−3)=0

Step 2: Set factors equal to 0.

2x=0 or 4x+1=0 or x−3=0

x=0 or x= −1/4 or x=3

Answer:

Step-by-step explanation:

When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)

which here becomes:

y - 0 = m(x + 1), or y = (-2/3)(x + 1), or  y = (-2/3)x - 2/3

If you want this in standard form, first clear the fractions by multiplying all terms by 3:  3y = -2x - 2

Now add 2x to both sides, obtaining:  2x + 3y = -2 (in "standard form."

When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.

For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.

Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.

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Answer:

A

Step-by-step explanation:

When two lines cross, the angles opposite of each other are always equal.

Example:

You can even check this by adding all of the angles together to equal 360.

Answer:

Largest whole number that divides evenly into both numbers.

Step-by-step explanation:

GCF is greatest common factor. It is also known as LCM of lowest common multiple.

It is the set of whole numbers that divides evenly into all numbers with zero remainder.

For example, three numbers are 8,12 and 20.

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 20 are: 1, 2, 4, 5, 10, 20

The GCF of these three numbers is 4. 4 divides evenly into all numbers.

Hence, the correct option is (B).

Answer:

A and E

Step-by-step explanation:

hope yall have a great day!

Answer:

x=4

BOOM LOGIC....MIND BLOWN

Answer:

x=5

y=−1

Step-by-step explanation:

x+y=4

2x−5y=15

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

x+y=4,2x−5y=15

To make x and 2x equal, multiply all terms on each side of the first equation by 2 and all terms on each side of the second by 1.

2x+2y=2×4,2x−5y=15

Simplify.

2x+2y=8,2x−5y=15

Subtract 2x−5y=15 from 2x+2y=8 by subtracting like terms on each side of the equal sign.

2x−2x+2y+5y=8−15

Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.

2y+5y=8−15

Add 2y to 5y.

7y=8−15

Add 8 to −15.

7y=−7

Divide both sides by 7.

y=−1

Substitute −1 for y in 2x−5y=15. Because the resulting equation contains only one variable, you can solve for x directly.

2x−5(−1)=15

Multiply −5 times −1.

2x+5=15

Subtract 5 from both sides of the equation.

2x=10

Divide both sides by 2.

x=5

The system is now solved.

x=5,y=−1

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

By the property of a triangle,

"Sum of interior angles of a triangle is 180°"

m∠A + m∠C + m∠D = 180°

By substituting the values of the angles given in the question,

(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°

(3x + 5x + 7x) + (-4 + 1 - 27) = 180

15x - 30 = 180

15x = 210

x = 14

Therefore, m∠A = 3x - 4

                           = 3(14) - 4

                           = 38°

m∠C = 5x + 1

        = 5(14) + 1

        = 71°

m∠D = 7x - 27

         = 7(14) - 27

         = 98 - 27

         = 71°

Answer:

Here is the graph of y = -5 sin(1/7 x) - 3:

bash

| /\

| / \

| / \

| / \

| / \

| / \

|_____/________________\_____

0 14 28

In this graph, the x-axis represents values from 0 to 28, and the y-axis represents values from -8 to 2. The graph shows a sine wave with a period of 2π(7) = 14π, an amplitude of 5, and a vertical shift downward by 3 units. The graph crosses the x-axis at x = 7π, 21π, and has its minimum value of y = -8 at x = 14π.

Answer:

See attachments.

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

\(f(x) = A \sin (B(x+C))+D\)

where:

Given function:

\(f(x)=-5 \sin \left(\dfrac{1}{7}x\right)-3\)

Therefore:

The given function has no horizontal shift and its period is:

\(\sf Period=\dfrac{2 \pi}{B}=\dfrac{2 \pi}{\frac{1}{7}}=14\pi\)

As "A" is negative, the curve is reflected in the x-axis.

Therefore, the x-values of the minimum and maximum points are:

\(\implies x_{\sf min}=\dfrac{1}{4} \cdot \text{period}+\text{period} \cdot n=\dfrac{7}{2}\pi+14\pi n\)

\(\implies x_{\sf max}=\dfrac{3}{4} \cdot \text{period}+\text{period} \cdot n=\dfrac{21}{2}\pi+14\pi n\)

The mid-line of the function is y = D, therefore the mid-line of the given function is y = -3.

As the amplitude is 5, the maximum and minimum points of the curve are 5 more and 5 less than the mid-line:

\(\implies y=-3+5=2\)

\(\implies y=-3-5=-8\)

Therefore, the minimum points of the graph are:

\(\left(\dfrac{7}{2}\pi + 14 \pi n, -8\right)\)

Therefore, the maximum points of the graph are:

\(\left(\dfrac{21}{2}\pi + 14 \pi n, 5\right)\)

As the mid-line of the function y = -3, there is no horizontal shift and its period is 14π, the function crosses the mid-line at:

\(\left(7\pi n, -3\right)\)

To graph the given function on the given small coordinate grid (attachment 1):

To graph the given function on a larger coordinate grid, see attachment 2.