una palmera de 17 metros de altura se encuentra sujeta por dos cables de 21m y 25m respectivamente. En la figura se pide calcular la distancia AB.

To determine if the sunglasses have Polaroid filters or if they are simply tinted plastic, you can obtain a pair of known Polaroid sunglasses for comparison.


Find a light source, such as a desk lamp or the sun.
Look through both pairs of sunglasses at the light source.
Rotate both pairs of sunglasses simultaneously.
Observe the changes in brightness and glare as you rotate the sunglasses.
If the suspected sunglasses are Polaroid, you should notice a significant reduction in glare and brightness at certain angles of rotation.
In contrast, if the suspected sunglasses are tinted plastic, you may still observe some glare and brightness, regardless of the angle of rotation.

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Answer:

-0.3125

Step-by-step explanation:

The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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The probability that you will get through the door without returning for more keys is 0.03.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Probability door is locked = 0.7

The probability that you will get through the door without returning for more keys will be:

= (1 - P(locked)) × P(key)

= (1 - 0.7) × 0.1

= 0.3 × 0.1

= 0.03

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This is the required final answer  Emily spends $300y/x  and Andy spends $432y/x for wire.

The answer provided below has been developed in a clear step-by-step manner.

1 foot =12 inches

1 yard=36 inches

Emily needs (25×12)=300 inches wire

and Andy needs (12×36)=432inches wire

As the cost for x inches wire is $y

cost for a 1-inch wire is $x/y

So, the cost for 300 inches of wire is $300y/x

cost for 432 inches of wire is $432y/x

so, Emily spends $300y/x

and Andy spends $432y/x for wire.

More than 20 different currencies go by the name dollar. The Australian dollar, Brunei dollar, Canadian dollar, Hong Kong dollar, Hogan dollar, Jamaican dollar, Liberian dollar, Namibian dollar, New Taiwan dollar, New Zealand dollar, Singapore dollar, United States dollar, Trinidad and Tobago dollar, and a number of others are among them. Like many nations that use the peso as their currency, the majority of those currencies are denoted by the dollar sign $.

The word "dollar" is a translation of the German word "thaler," which means "person or thing from the valley" in English. America's monetary unit is called after the "thaler," the name given to the first silver mine-produced coins, which were initially coined in Joachimsthal, Bohemia, in 1519.

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The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Answer:

C

Step-by-step explanation:

hope it helps

Answer:

The answer is C

Step-by-step explanation:

I keep seeing people put c so i am pretty sure that right

The secant-secant product theorem states that if 2 secant segments are drawn to a circle from an external point, then the product of the length of one of the secants and its external portion is equal to the product of the length of the other secant and its external portion.

The length of the first secant in the image is x + 18, and the second is 24 + 16.

x + 18 times 18 = 40 times 16

18x + 324 = 640

18x = 316

x= approximately 17.6

Answer:

Multiply both sides of the equation by n/-2.25

Step-by-step explanation:

\(\frac{n}{-225}=15.6\)

\(\mathrm{Multiply\:both\:sides\:by\:}-2.25\)

\(\frac{n\left(-2.25\right)}{-2.25}=15.6\left(-2.25\right)\)

\(\mathrm{Simplify}\)

\(n=-35.1\)

~lenvy~

Answer:

Step-by-step explanation:

To solve this problem, first, you have to isolate the term of n from one side of the equation.

\(\sf{\dfrac{n}{-2.25}=15.6 }\)

The only way to solve this is to multiply both sides by -2.25.

\(\sf{\dfrac{n(-2.25)}{-2.25}=15.6(-2.25) }\)

After that, you solve.

Multiply the numbers from left to right.

\(\sf{15.6(-2.25)=\boxed{\sf{-35.1}}\)

Don't forget to use a variable for your final answer.

I hope this helps you! Let me know if my answer is wrong or not.

From the question, the sum of each of the geometric sequence are;

1)  31 3/4

2) 340

3) 11/16

4) -6, 12, -24

We have that;

Sn = a(1 -\(r^n\))/1 - r

Sn = 16(1 \(- (1/2)^7\))1 - 1/2

Sn = 16(1 - 1/128)/1/2

Sn = 16(127/128) * 2

Sn = 31 3/4

2) Un = a\(r^n\) -1

256 = \(4(4)^n-1\)

64 =\(4^n-1\)

\(4^3 = 4^n-1\)

n = 4

Sn= \(4(4^4 - 1)\)/4 - 1

Sn = 340

3) Since we have a5 then n = 5

Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)

Sn = 33/32 * 2/3

= 11/16

4) 30= a(1 -\((-2)^4\))/1 - (-2)

30 = a(-15)/3

30 = -5a

a = 30/-5

a = -6

Then the first three terms are;

-6, 12, -24

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

A combination is a rearrangement of items in which the order does not make a difference.

In mathematics, both permutations and combinations are used to count the number of ways to arrange or select items. However, they differ in terms of whether the order of the items matters or not.

A permutation is an arrangement of items where the order of the items is important. For example, if we have three items A, B, and C, the permutations would include ABC, BAC, CAB, etc. Each arrangement is considered distinct.

On the other hand, a combination is a selection of items where the order does not matter. It focuses on the group of items selected rather than their specific arrangement. Using the same example, the combinations would include ABC, but also ACB, BAC, BCA, CAB, and CBA. All these combinations are considered the same group.

To determine whether to use permutations or combinations, we consider the problem's requirements. If the problem involves arranging items in a particular order, permutations are used. If the problem involves selecting a group of items without considering their order, combinations are used.

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7 test scores are 85 or greater according to the given scenario.

The third quartile (Q3) is a measure of central tendency that represents the value separating the lower 75% of a dataset from the upper 25%. In this case, the third quartile has a value of 85, meaning that 75% of the test scores are 85 or lower.

Since there are 30 exams in total, 30 x 0.75 = 22.5 exams have scores of 85 or lower. To find the number of exams with scores of 85 or greater, we subtract the number of exams with scores of 85 or lower from the total number of exams, which is 30 - 22.5 = 7. This means that 7 exams have scores of 85 or greater.

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Answer:

We have slope of EF : \(\mathbf{\frac{-4}{5}}\) and slope of GH: \(\mathbf{\frac{-4}{5}}\)

Both have same slope, so EF is parallel to GH i.e. EF || GH

Step-by-step explanation:

We need to find Is EF and GH parallel.

If EF and GH are parallel, they have same slopes.

So, we will find slopes of EF and GH

The formula used is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

Slope of EF

We have: E(2,5) and F(7,1)

So, \(x_1=2, y_1=5, x_2=7, y_2=1\)

Putting values in formula and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-5}{7-2}\\Slope=\frac{-4}{5}\\\)

So, slope of EF is \(\mathbf{\frac{-4}{5}}\)

Slope of GH

We have: G(2,-3) and F(-3,5)

So, \(x_1=2, y_1=-3, x_2=-3, y_2=5\)

Putting values in formula and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-(-3)}{-8-2}\\Slope=\frac{5+3}{-10}\\Slope=\frac{8}{-10}\\Slope=\frac{-4}{5}\)

So, slope of GH is \(\mathbf{\frac{-4}{5}}\)

We have slope of EF : \(\mathbf{\frac{-4}{5}}\) and slope of GH: \(\mathbf{\frac{-4}{5}}\)

Both have same slope, so EF is parallel to GH i.e. EF || GH

Calculus Early Transcendentals is a branch of mathematics that deals with the study of rates of change and slopes of curves. It is a fundamental area of mathematics that is widely used in a variety of fields, including engineering, physics, economics, and science.

The core concept of Calculus Early Transcendentals is differentiation, which is the process of finding the derivative of a function. A derivative is essentially the rate of change of a function at a given point, and it is used to determine how the value of the function changes as its input changes.

In addition to differentiation, Calculus Early Transcendentals also covers integration, which is the process of finding the area under a curve. Integration is the inverse of differentiation and is used to find the total change in a function over a given interval.

Another important area covered in Calculus Early Transcendentals is optimization, which is the process of finding the maximum or minimum value of a function. This is a useful tool in many real-world applications, such as finding the minimum amount of time or energy required to perform a task.

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The equivalent expression for \(\left(\frac{1.4^2}{1.2^4}\right)^{-6}\)is (D) \(\frac{1.2^{24}}{1.4^{12}}\).

The product of same base different exponent is given by the sum of exponents with same base.

Any power value of 1 is alsways 1.

Given that the expression is

\(\left(\frac{1.4^2}{1.2^4}\right)^{-6}=\frac{1^{-6}.4^{-12}}{1^{-6}.2^{-24}}=\frac{1.2^{24}}{1.4^{12}}\)

Hence the correct option is (D).

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Answer:

i can give you tuturing 1 on 1 if you give me brainliest

Step-by-step explanation:

30*4 =120 +50

30*9=270+50

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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i think it should be -1.6

if you add 7 to 9 it'll be 16.

if you divide -10 by 16 it'll give you -16/10.

simplify it and you should get -8/5 or -1.6.

If ABC is a right angled triangle and angle BAC = 90°. If AD perpendicular to BC and BD=DC then BC² = 4AD² is 4 * AD^2.

How to prove that BC² = 4AD²?​

In right triangle ABC, by Pythagorean theorem, we have:

AC^2 + BC^2 = AB^2

Since AD is perpendicular to BC, by similarity, triangle ABD is similar to triangle ADC. Therefore, we have:

BD/AD = AD/DC

BD = AD^2/DC

Substituting BD into the first equation, we get:

AC^2 + BC^2 = AB^2 = AD^2 + (AD^2/DC)^2

AC^2 + BC^2 = AD^2 + AD^4/DC^2

AC^2 + BC^2 = AD^2(1 + AD^2/DC^2)

Since BD = DC, we have:

AC^2 + BC^2 = AD^2(1 + AD^2/BD^2)

And substituting DC = BD:

AC^2 + BC^2 = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2) = AD^2(1 + AD^2/BD^2)

Since AB^2 = AC^2 + BC^2, we have:

BC^2/AD^2 = AB^2/AD^2 - AC^2/AD^2 = (AB^2 + AC^2)/AD^2 - AC^2/AD^2 = (BC^2 + AC^2)/AD^2 = 4

Therefore, BC^2 = 4 * AD^2.

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

x = 135°

Step-by-step explanation:

x and y are supplementary angles, that is they sum to 180° , then

x + y = 180 ← substitute x = 3y into the equation

3y + y = 180

4y = 180 ( divide both sides by 4 )

y = 45

then

x = 3y = 3 × 45° = 135°

Answer:

I THINK O.80

Step-by-step explanation:

Based on the percentages provided in the table to the left, 0.0080 grams per cubic millimeter is the density, in grams per cubic millimeter, of a United States penny. Therefore, the correct option is option B.

The density of a substance indicates how dense it is in a particular area. Mass per volume unit is the definition of a material's density. In essence, density is an indicator of how closely stuff is packed. It is a special physical characteristic of a certain thing.

The Greek scientist Archimedes made the discovery of the density principle. If you are familiar with the formula and the relevant units, calculating density is simple. The letter D can also be used to signify density instead of the symbol. Based on the percentages provided in the table to the left, 0.0080 grams per cubic millimeter is the density, in grams per cubic millimeter, of a United States penny.

Therefore, the correct option is option B.

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Answer:

(2x-7)(x+12)

Step-by-step explanation:

2x²+17x-84

(2x     )(x     )

We were told to use 7 and 12 to equal 84. Let's try 12 in the first bracket and 7 in the second:

(2x  12)(x   7): (2x)(7) and (12)(x) = 14x and 12x, which we cant make 17x from

Now let's try 7 in the first bracket and 12 in the second:

(2x   7)(x   12): (2x)(12) and (7)(x) = 24x and 7x, which we CAN use to make 17x if the 7x is negative, ie place a '+' before the twelve in the second bracket and a '-' before the seven in the first bracket.

(2x-7)(x+12)

Double check: (2x-7)(x+12)=2x(x+12)-7(x+12)=2x²+24x-7x-84=2x²+17x-84

Answer:

15 m2 is the answer

Step-by-step explanation:

The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. so, the answer is 15 m2

Answer: 22 m2

Step-by-step explanation:

Answer

What event will cost the least for 9 tickets?

the wave pool

How much less will this event cost?

$20.25

Hope it helps :)

Step-by-step explanation:

The length of the curve   r(t) = 4t, t2, 1 6 t3 , 0 ≤ t ≤ 1 is approximately 3.022 units.

A curve is a shape or a line that is smoothly drawn in a plane having a bent or turns in it

\(\int (\dfrac{dx}{dt})^2+ (\dfrac{dy}{dt})^2 +(\dfrac{dz}{dt}^2 dt)\)

where\(r(t) = x(t)i + y(t)j + z(t)k.\)

In this case, we have:

\(x(t) = 4t\\y(t) = t^2\\z(t) =\dfrac{1}{6} t^3\)

So, we need to find\(:\dfrac{dx}{dt} \dfrac{dy}{dt} \dfrac{dz}{dt}\)

\(\dfrac{dx}{dt}\)= 4

\(\dfrac{dy}{dt}\) = 2t

\(\dfrac{dz}{dt}\)=\(1/2 t^2\)

Now we can plug these into the arc length formula:

\(\int (4)^2 +(2t)^2 + (\frac{1}{2t^2^})^2 dt\) dt from 0 to 1

Simplifying under the square root:

\(\int 16+ 4t^2 +\frac{1}4t^4)\) from 0 to 1

This integral is difficult to solve analytically, so we can use numerical methods to approximate the value. One way is to use Simpson's rule, simplifying further:

L= \(\dfrac{1}{3}[\sqrt{16+\sqrt{16} +\sqrt{16.111} +\sqrt[2]{16.222} +\sqrt[2]{16.4167}+\sqrt{17.1111} + \sqrt[2]{17.6944} +\sqrt{20}]\)

Therefore, the length of the curve is approximately 3.022 units.

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