please help and thank you!
6) The sun is shining on a cactus. The shadow of the cactus forms a 58° angle to the ground. The shadow on the ground of the cactus is 7.5 ft long. How tall is the cactus? Round answer to the tenths.

Answer:

405

Step-by-step explanation:

The answer is 405. look it up on online. I found it on online.

Answer:

2000

Step-by-step explanation:

45%x = 900                 Change the % to a fraction

45/100 x = 900            Multiply by 100

45x = 900*100

45x = 90000               Divide by 45

x = 90000/45

x = 2000

Answer:

Yes, Yes they are. Unless they are supposed to be in the order "20 99101" then they are most definitely a pythagorean triple.

Answer:

Yes, the sides would form a right triangle.

Step-by-step explanation:

\(99^2 + 20^2 = 101^2\\\rule{150}{0.5}\\99^2 + 20^2 = 10201\\\\9801 + 400 = 10201\\\\\boxed{10201 = 10201}\)

Hope this helps.

There are 15C5 or 3003 possible combinations in the sample space.There are 20C5 or 15504 possible combinations in the sample space.

A number is a mathematical object used to count, measure, and label. Numbers can be represented in many different forms such as natural numbers, integers, real numbers, and complex numbers. They can also be classified as scalar numbers (which have a magnitude or value only) or vector numbers (which have both magnitude and direction). Numbers can be used to represent many different things, including measurements, distances, money, and quantities.

A) Sample Space: The sample space for selecting a set of 5 questions from a set of 15 questions is the set of all possible combinations of 5 questions from 15 questions. There are 15C5 or 3003 possible combinations in the sample space.

B) Sample Space: The sample space for forming a committee of 5 from a membership of 20 is the set of all possible committees that can be formed from 20 members. There are 20C5 or 15504 possible combinations in the sample space.

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The original price of the pearl was 52 euros.

Price is the monetary value of a product, service, or asset. It is one of the most important factors in a customer's decision to purchase something. Price also determines the amount of profit a business makes on a particular product or service. Price is a key component of the marketing mix, and it can be used to create a sense of value for customers. Price can also be used to differentiate a product from competitors, as well as to indicate quality levels and to create loyalty.

a) One of the cheapest pearls costs 41 euros.

b) This necklace costs 2153 euros, which is the sum of all the pearls.

c) The pearl with the crack originally cost 52 euros. The price was reduced by 1/5, which is 10.4 euros, making the price of the pearl 41.6 euros. The decrease in price of the necklace was 6.5 euros, which means the reduction in price of the pearl was 6.5 euros. Therefore, the original price of the pearl was 52 euros.

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Answer:

\(x=18,\:y=6\)

Step-by-step explanation:

Solve by substitution

\(\begin{bmatrix}x+y=24\\ 75x+60y=1710\end{bmatrix}\)

\(\mathrm{Substitute\:}x=24-y\)

\(\begin{bmatrix}75\left(24-y\right)+60y=1710\end{bmatrix}\)

\(\begin{bmatrix}1800-15y=1710\end{bmatrix}\)

\(\mathrm{For\:}x=24-y\)

\(\mathrm{Substitute\:}y=6\)

\(x=24-6\)

\(x=18\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=18,\:y=6\)

Answers In Exact Order:

37 / 8, 91 / 20, 457 /100 (4.57), and 4543 / 1000 (4.543)

Step-by-step explanation:

In order to solve your question, we first convert the two decimals into fractions. This will be easier, since we can order fractions from least to greatest by their denominator.

1. To convert 4.57 to a fraction, we can place the decimal number over it's placed value. Like this: 0.3 - 3/10.

For this problem, we'll do the same with 4.57, like this:

457 / 100

Since 7 is in the hundredth place, the denominator will be 100.

You can also do the same with 4.543, which will be:

4543 / 1000

Like I said, 3 is in the thousandth place, and the denominator will be 1,000.

Now, since the two decimals are converted to fractions, we can do the easy part!

To order the fractions, we look at the denominator.

If you look at 37 / 8, the denominator is eight, which will go first, since it's the least.

Then take a look at 91 / 20. The denominator is twenty, and will go second.

After that, look at 457 / 100. The denominator is one hundred, and will go third.

Lastly, 4543 / 1000 will be the greatest, since the denominator is one thousand.

Hence, the order goes by:

37 / 8

91 / 20

457 / 100 (4.57)

4543 / 1000 (4.543)

Reply below if you have any questions or concerns.

You're welcome!

- Nerdworm

The measure of the central angle m ∠JIK is 160°.

Given that the circle I, in which IJ is the radius of 9 units, the area of shaded sector = 36π, we need to find the m ∠JIK, the central angle.

Area of the sector = central angle / 360° × π × radius²

∴ 36π = m ∠JIK / 360° × π × 9²

m ∠JIK = 360° × 4 / 9

m ∠JIK = 160°

Hence, the measure of the central angle m ∠JIK is 160°.

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When the eccentricity becomes zero, the ellipse becomes a circle.

The eccentricity of an ellipse is a measure of how much it deviates from a circular shape. When eccentricity is zero, it means that the distance between the foci is zero and the ellipse becomes a circle.

A circle is a special case of an ellipse in which the eccentricity is zero. In a circle, all points on the perimeter are the same distance from the center. The eccentricity of a circle is always zero because the distance between the two foci is zero. As a result, a circle can be seen as an ellipse with an eccentricity of zero.In summary, when the eccentricity becomes zero, the ellipse becomes a circle.

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A) The derivative of function k(x), i.e.,  k'(x) is equals to \(\frac{(-60x^{2} + 114x + 16)}{(-3x^{2} -4x + 3)^{2} }\)

B) The values of x where the tangent line of the function f(x)=15x−16x is parallel to the line y= 19x−2 are x= 2, -2.

C) The derivative of function h(x), i.e., h'(x) is equals to the\(\frac{ [(sin(x)(4x^{2} +2x-3) - (8x + 2)(-cos(x))]}{(4x^{2} +2x-3)^{2} .}\)

D) The value of \(\frac{d^{64} }{dx^{64} } (-7sinx)\) is -7sin(x) .

We have, k(x) = f(x)g(x)/h(x) and if f(x)

= −3x + 4,g(x) = -x + 4, and h(x)= −3x² −4x + 3, so, rewrite the function, k(x) =\(\frac{ (-3x + 4)(-x+ 4)}{(-3x^{2} -4x + 3)}\)

A) derivative of function, k(x)  : using the division rule of differentiation derivative of the k(x) with respect to x

k'(x) = \(\frac{[f'(x)h(x)g'(x) - h'(x)g(x)f(x)]}{(h(x)^{2} }\) --(1)

Now, differentiating each function w.r.t x   f'(x) = -3 , g'(x) = -1 , h'(x) = -6x -4

so, k'(x) \(=\)\(\frac{ [-3(-3x^{2} −4x + 3)(-1) - (-6x- 4 )(-3x + 4)(-x + 4)]}{(-3x^{2} -4x + 3)^{2} }\)

= \(\frac{(-60x^{2} + 114x + 16)}{(-3x^{2} -4x + 3)^{2} }\)

Hence, we get the required value.

B) Now, we have to determine value of x for f(x)= \(15x-\)\(\frac{16}{x}\) , tangent line is parallel to the line y = 19x−2. Slope of line y = 19x - 2 is   \(\frac{dy}{dx}\) = \(m\) = 19

Tangent line of f(x) is parallel  to line y = 19x - 2.  So, both have same slope,f'(x) = 19

f'(x) =\(\frac{ 15x^{2} - 16}{x^{2} }\) \(=19\)

=> 15x² - 16 = 19x²

=> 19x² - 15x² = 16

=> 4x² = 16

=> x² = 4

=> x = ± 2

So, required value of x are 2 and -2.

C) h(x) = \(\frac{f(x)}{g(x)}\). Also, we have f(x)

= −cos(x) and g(x) = 4x²+2x−3,

Similarly to part(a), h'(x) =\(\frac{ [f'(x)g(x) - g'(x)f(x)]}{(g(x))^2 }\)

f'(x) = derivative of (-cos(x) ) = -(- sin(x))

= sin(x)

g'(x) = 8x + 2

h'(x) = \(\frac{ [(sin(x)(4x^{2} +2x-3) - (8x + 2)(-cos(x))]}{(4x^{2} +2x-3)^{2} .}\)

D) Here, calculate \(\frac{d^{64} }{dx^{64} } (-7sinx)\)

As we know, \(\frac{d( sin(x))}{dx}\)= cos(x)

and \(\frac{d^{2} (sin(x))}{dx^{2} }\) = - sinx

\(\frac{d^{64} (-7sin(x))}{dx^{64} }\) =\(\frac{-7d^{64}(sin(x)) }{dx^{64} }\)

= - 7(sinx)  = -7 sin(x)

Hence, required value is -7sin(x).

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I assume you know that there are n total n-th roots for any non-zero complex number.

(If you're looking for "the" principal root, you'll have to specify which branch you're calling the principal branch of the n-th root function.)

Start by writing \(1 - i\sqrt3\) in exponential form. We have modulus/magnitude

\(|1 - i\sqrt3| = \sqrt{1^2 + (-\sqrt3)^2} = \sqrt4 = 2\)

and \(1-i\sqrt3\) lies in the fourth quadrant of the complex plane, so its argument is

\(\arg(1-i\sqrt3) = \tan^{-1}\left(-\sqrt3\right) = -\dfrac\pi3\)

Then the exponential form is

\(1 - i \sqrt3 = 2 \exp\left(-i\dfrac\pi3\right)\)

(where \(\exp(x) = e^x\), if you're not familiar with the notation)

By de Moivre's theorem, we have the fourth roots

\(\sqrt[4]{1 - i\sqrt3} = \sqrt[4]{2} \exp\left(i \dfrac{-\frac\pi3+2k\pi}4\right)\)

where \(k\in\{0,1,2,3\}\), so that we have a choice of

\(\sqrt[4]{1 - i\sqrt3} = \begin{cases} \sqrt[4]{2} \exp\left(-i\dfrac\pi{12}\right) \\\\ \sqrt[4]{2} \exp\left(i\dfrac{5\pi}{12}\right) \\\\ \sqrt[4]{2} \exp\left(i\dfrac{11\pi}{12}\right) \\\\ \sqrt[4]{2} \exp\left(i\dfrac{17\pi}{12}\right) = \sqrt[4]{2} \exp\left(-i\dfrac{7\pi}{12}\right) \end{cases}\)

(I rewrote the exponent to the last root just to be consistent about having each argument between -π and π radians)

If you want these in rectangular form (a + bi), sorry, that's where I draw the line; it can be done with simple trigonometry and algebra, but it's rather tedious, and the exponential forms are far more compact.

Answer:

x=15° this is the answer

The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

Slope = m = (y2-y1) /( x2-x1)

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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Given that to multiply (7x 3)(7x−3), we can use the pattern:

(a b)(a−b)=a2−b2.

Now, we need to find the values of a and b.

Using the given formula

(a b)(a−b)=a2−b2,

we can equate the values as follows:

(7x 3)(7x−3) = (a b)(a−b)

= a² - b²

Comparing the coefficients on both sides, we get:

7x as a common factor on the left side

[(7x) × (3 − 3)] = (a b) + (a − b)

Now, the brackets on the left side simplify to 0, which means that the brackets on the right side of the equation have to add up to 0.

Therefore,(a b) + (a − b) = 0

This simplifies to 2a − b = 0 ...(1)

We know that

a² - b² = 14

7x² - b² = 14

7x² = b²

b = ±7x

Substituting b in (1),

2a − ±7x = 0

a = ±(7x/2)

Hence, the values of a and b are a = ±(7x/2), b = ±7x.

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The percentage of the cuboid filled with water is given as follows:

53.85%.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions of the cuboid are given as follows:

The filled dimensions of the cuboid are given as follows:

As only the height is different, the percentage filled is obtained as follows:

7/13 = 53.85%.

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Answer:

Step-by-step explanation:

Screen B is wider

Sean lives about 15.5 miles from the airport. Number rounds to 15.5

when rounded to the nearest tenth is 15.49.

when we round off this number we have to see the last digit here it is 9 so we have to note whenever the last digit lies between 0-4 we round off it and take the value 0.

when it lies between 5-9 we take the value 0 and add one number t0 the second last digit. so here it is 9 in place of 9 will take zero and in place of 4, we take 4+1=5. so the answer is 15.49.

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Answer:T

Step-by-step explanation:

Answer:

In Explanation

Step-by-step explanation:

The constant of proportionality is a value that relates two variables that have a proportionate relationship. It is often represented by the letter "k".

For example, if two variables x and y are directly proportional, their relationship can be represented by an equation of the form y = kx, where k is the constant of proportionality. In this equation, the value of k represents the ratio of y to x and it is constant, meaning that it does not change as the values of x or y change.

In physics, the constant of proportionality also appears in many mathematical models of natural phenomena, such as Hooke's law (F = km) which relates the force applied on an object (F) to its displacement (x) with a spring constant (k), and Ohm's law (V = IR) which relates the voltage (V) across a resistor to the current (I) flowing through it with a resistance constant (R).

The constant of proportionality can have different units of measure depending on the context and is used to make quantitative predictions about the relationship between the variables. In some cases, it can be used to determine the behaviour of a system or physical process.

(Please give brainlist)

Answer:

Option C is correct

Step-by-step explanation:

\(y−6=−4(x+1) \\ \)

\(y−6=−4x−4 \times 1\)

\( y−6=−4x−4 \)

\(y=−4x−4+6 \)

\(y=−4x+2\)

Answer:

deduct the factor fro, the pne on the other side to find the answer so you would have to cross over to the next column and get the answer

Step-by-step explanation:

a. The probability will be less than $400 is approximately 4.78%. b. The probability will be $800 or more is approximately 34.13%. c. The probability will be between $500 and $1000 is approximately 68.27%. d. The most expensive travel plans are approximately $1,170 or more.

a. To find the probability that family expenses for the weekend will be less than $400, we need to standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. In this case, x = $400, μ = $749, and σ = $225. So, z = (400 - 749) / 225 = -1.56. Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -1.56 is approximately 0.0594. Therefore, the probability that family expenses for the weekend will be less than $400 is about 0.0594 or 5.94%.

b. To find the probability that family expenses for the weekend will be $800 or more, we again need to standardize the value. In this case, x = $800, μ = $749, and σ = $225. So, z = (800 - 749) / 225 = 0.227. Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being greater than 0.227 is approximately 0.409. Therefore, the probability that family expenses for the weekend will be $800 or more is about 0.409 or 40.9%.

c. To find the probability that family expenses for the weekend will be between $500 and $1000, we need to standardize both values and then find the area between them. For $500, z = (500 - 749) / 225 = -1.11, and for $1000, z = (1000 - 749) / 225 = 1.11. Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -1.11 is approximately 0.1335 and the probability of a standard normal variable being less than 1.11 is approximately 0.8664. Therefore, the probability that family expenses for the weekend will be between $500 and $1000 is about 0.8664 - 0.1335 = 0.7329 or 73.29%.

d. To find the Labor Day weekend expenses for 5% of the families with the most expensive travel plans, we need to find the z-score corresponding to the 95th percentile of the normal distribution. This can be done using a standard normal distribution table or calculator, and we find that the z-score is approximately 1.645. Then, we can use the formula x = μ + zσ, where x is the value we want to find, μ is the mean, σ is the standard deviation, and z is the z-score we just found. Plugging in the values, we get x = 749 + 1.645(225) = $1,100.13. Therefore, the Labor Day weekend expenses for 5% of the families with the most expensive travel plans is about $1,100.13 or higher.
According to the American Automobile Association (AAA), families planning to travel over the Labor Day weekend are expected to spend an average of $749, with a standard deviation of $225. Assuming the amount spent is normally distributed:

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All else being equal, in an association claim, there is a greater likelihood of finding a non-statistically significant relationship with large effect sizes.

In an association claim, effect size refers to the strength or magnitude of the relationship between two variables. When the effect size is large, it means that there is a strong and meaningful relationship between the variables being studied.

Regarding the given answer options, the correct statement is: "All else being equal, there will be a greater likelihood of finding a non-statistically significant relationship." This means that when effect sizes are large, it is more likely to find results that do not reach statistical significance, even if the relationship between the variables is substantial.

Statistical significance is determined by factors such as sample size, variability, and the chosen significance level. With large effect sizes, it becomes more challenging to obtain statistically significant results because the effect is more noticeable and can lead to a smaller margin of error or variability.

It is important to note that a non-statistically significant relationship does not diminish the importance or practical significance of the finding. Effect sizes can still be meaningful and have real-world implications, regardless of their statistical significance.

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Answer:

X÷-9=-16 x=144

Answer:

I think this is the answer

Step-by-step explanation:

1511664158726899051326

The division expression shown in the model attached to this question is 1/2 ÷ 3

The model missing in the question is added as an attachment

In the model, we have

Shaded sections = 3

Partitons = 1/2

This means that

Division expression = Partitons ÷ Shaded sections

Substituting the above expressions, we have

Division expression = 1/2 ÷ 3

This means that the division expression is 1/2 ÷ 3

When the expression is solved, we have

Division expression = 1/6

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Complete question

Which division expression is shown in the model?

See attachment

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.

The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.

Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example,  x-2 = 1/x2.

The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.

The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.

The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.

These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.

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Answer:

Its a linear function

Step-by-step explanation:

2 - 4 / 2 - 1

-2 / 1

-2

y - 2 = -2 ( x - 2 )

y -2 = -2x + 4

y = -2x + 6

From the given data, the equation formed as y = -2x + 6 so, the given function is linear.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

From the given data, the slope of function.

m = (2 - 4) /( 2 - 1)

m = -2 / 1

m = -2

The equation will be

y - 2 = -2 ( x - 2 )

y -2 = -2x + 4

y = -2x + 6

Thus, the given function is a linear.

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The answer is: A) The data support the researchers' belief that night owls have better dream recall than early birds. B) we can be 92% confident that the true difference in mean number of dreams recalled per week between night owls and early birds is between 1.87 and 2.63.

A) These are the alternative and null hypotheses:

H0: μE = μN (the mean number of dreams recalled each week is the same for early birds and night owls) (the mean number of dreams recalled per week is the same for early birds and night owls)

Ha: μE < μN (the mean number of dreams recalled each week is smaller for early birds than for night owls) (the mean number of dreams recalled per week is lower for early birds than for night owls)

Using the following formula, we can run a two-sample t-test with unequal variances:

t = [(sN2 / nN) + (sE2 / nE)] / sqrt[(xN - xE)]

where nN and nE are the sample sizes for night owls and early birds, respectively, and xN and sN and xE and sE are the sample means and standard deviations for night owls and early birds, respectively.

When we enter the values, we obtain:

t = (9.55 - 7.26) / sqrt[(5.88^2 / 100) + (6.94^2 / 100)] = 5.01

The data are consistent with the researchers' hypothesis that night owls are more capable of remembering their dreams than early birds.

B) We can use the following formula to determine the confidence interval:

CI is equal to (xN - xE) t/2 * sqrt[(sN / nN) + (sE / nE)].

where t/2 is the t-value for the required level of confidence and degrees of freedom, and xN, xE, sN, sE, nN, and nE are the same as previously (198 in this case).

With a t-value of 1.75 and a 92% confidence level (from a t-distribution with 198 degrees of freedom), we get:

CI is equal to (9.55 - 7.26) 1.75 * sqrt[(5.88 - + 6.94 / 100)] = (1.87, 2.63) (1.87, 2.63)

The genuine difference between night owls and early birds in terms of the average number of dreams recalled per week is therefore between 1.87 and 2.63, with a 92% confidence interval.

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