Choose the expression that represents a cubic expression. 19x4 18x3 − 16x2 − 12x 1 10x3 − 6x2 − 9x 12 −9x2 − 3x 4 4x 3

To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units

In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.

Data;

Let's use cosine rule for this.

\(cos\theta = \frac{adjacent}{hypothenuse}\)

Proceed to substitute the values into the equation and solve.

\(cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85\)

From the calculations above, the value of side AC is 2.85 units

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Answer:

3

Step-by-step explanation:

gradient/slope/m formula:-

(-6,2) (4,10).

m=(10-4)/(-4-6)

m=6/2

m=3

Answer:

=√100

= 10

=√49

= 7

=√144

= 12

=√9

=3

Answer:

make the background a pattern or something and make the words bigger. then make the clear gap bigger let the words overlap the gap a little bit

Step-by-step explanation:

Answer:

$33,090.

Step-by-step explanation:

The formula is A = P( 1 + r/2)^2n so we have:

50,000 = P(1 + 0.07/2)^(6*2)

50000 = P * 1.035^12

P = 50000/ 1.035^12

= $33,090 to the nearest dollar.

Load the dataset, remove duplicates, and create three subsets of data using `sample()` and `setdiff()`.. You can create three subsets of data using R's `sample()` and `setdiff()` functions for the `home.csv` dataset:

First, load the dataset into R using the `read.csv()` function:
home <- read.csv("home.csv")

Next, use `setdiff()` to remove any duplicates from the dataset:
home <- unique(home)

Then, create the three subsets using `sample()` and `setdiff()`:
# Training set (21 rows)
trainset <- home[sample(nrow(home), 21), ]

# Validation set (10 rows)
validationset <- home[sample(setdiff(1:nrow(home), rownames(trainset)), 10), ]

# Test set (the rest)
testset <- home[setdiff(1:nrow(home), c(rownames(trainset), rownames(validationset))), ]

This will create three subsets of the `home.csv` dataset with no duplicates: a training set with 21 rows, a validation set with 10 rows, and a test set with the remaining rows.

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Recall the double-angle identity,

sin²(x) = (1 - cos(2x)) / 2

Now if sin(12°) = k, then

k ² = sin²(12°) = (1 - cos(24°)) / 2

→   cos(24°) = 1 - 2k ²

Answer:

Answer: x = 8

Step-by-step explanation:

Hello again XD.

This is a coordinate plane and all the angles on a coordinate plane add up to 360°

Divide 360 by 4 to get the measurement of the section we are working in.

360/4 = 90°

This means it is complementary and complementary angles state that both separate angles added together = 90°

therefore,

6x + 2 + 40 = 90

combine like terms:

6x + 42 = 90

now subtract 42 from both sides

6x = 48

divide 6 from both sides to get:

x = 8

Let me know if you have any more questions you want answered and I hope I explained this well.

Hey there :)

Please check the attached image for answer with explanation.

\(Benjemin360 :)\)

Integrate by parts to find some useful recurrences relating Iₙ and Jₙ.

\(\displaystyle I_n = \int_{-\pi}^\pi x^n \cos(x) \, dx = uv \bigg|_{x=-\pi}^{x=\pi} - \int_{-\pi}^\pi v\, du \\\\ \implies I_n = -n \int_{-\pi}^\pi x^{n-1} \sin(x) \, dx \\\\ \implies I_n = -n J_{n-1}\)

where u = xⁿ and dv = cos(x) dx.

\(\displaystyle J_n = \int_{-\pi}^\pi x^n \sin(x) \, dx = uv \bigg|_{x=-\pi}^{x=\pi} + \int_{-\pi}^\pi v\, du \\\\ \implies J_n = \pi^n - (-\pi)^n + n \int_{-\pi}^\pi x^{n-1} \cos(x) \, dx \\\\ \implies J_n = \pi^n - (-\pi)^n + n I_{n-1}\)

The integrals for n = 0 are trivial:

\(\displaystyle I_0 = \int_{-\pi}^\pi \cos(x) \, dx = \sin(\pi) - \sin(-\pi) = 0\)

\(\displaystyle J_0 = \int_{-\pi}^\pi \sin(x) \, dx = -\cos(\pi) - (-\cos(-\pi)) = 0\)

Now, the integral we're interested in is

\(\displaystyle \int_{-\pi}^\pi x^n f(x) \cos(x) \, dx\)

but we know f(x) is quadratic, and we want to find its coefficients a, b, and c such that

\(\displaystyle \int_{-\pi}^\pi x^n (ax^2+bx+c) \cos(x) \, dx\)

But this is simply

\(\displaystyle \int_{-\pi}^\pi (ax^{n+2}+bx^{n+1}+cx^n) \cos(x) \, dx = aI_{n+2} + bI_{n+1} + cI_n\)

Using the recurrences above and the initial values we've computed, we find

• I₁ = -J₀ = 0

• J₁ = π - (-π) + I₀ = 2π

• I₂ = -2 J₁ = -4π

• J₂ = π² - (-π)² + 2 I₁ = 0

• I₃ = -3 J₂ = 0

• J₃ = π³ - (-π)³ + 3 I₂ = 2π³ - 12π

• I₄ = -4 J₃ = -8π³ + 48π

When n = 0, the integral we care about is

\(aI_2 + bI_1 + cI_0 = -4\pi a + 0 + 0 = 4\pi \implies a = -1\)

When n = 1,

\(aI_3 + bI_2 + cI_1 = 0 - 4\pi b + 0 = 4\pi \implies b = -1\)

When n = 2,

\(aI_4 + bI_3 + cI_2 = (48\pi - 8\pi^3)a + 0 - 4\pi c = 4\pi \implies c = 2\pi^2 - 13\)

so that

\(f(x) = \boxed{-x^2 - x + 2\pi^2 - 13}\)

Answer:

$44,736

-

Hourly: $21.51

Daily: $172.06

Weekly: $860

Bi-Weekly: $1,721

Semi-Monthly: $1,864

Monthly: $3,728

Quarterly: $11,184

Annual: $44,736

The screen aspect ratio of a high-definition television is 16:9, which means the width is 16 units and the height is 9 units. We are given that the width of the HDTV is 41 inches.

To find the screen size, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the diagonal distance across the screen) is equal to the sum of the squares of the other two sides (width and height).

Let's assume the height is h inches. Using the Pythagorean theorem, we have:

(41^2) = (16^2) + (9^2) + (h^2)

Simplifying this equation, we get:

1681 = 256 + 81 + h^2

1681 = 337 + h^2

h^2 = 1681 - 337

h^2 = 1344

Taking the square root of both sides, we find:

h ≈ 36.65 inches

Therefore, the screen size of the HDTV is approximately 36.65 inches.

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Answer:

I hope this helps you...

please mark me as brainliest..

Answer:

94 pound of type A

Step-by-step explanation:

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

y=130

Step-by-step explanation:

1) combine all like terms for the inside angles of the triangle

2) because the sum of all angles = 180 add that to the sum of all like terms

3) now you replace the x's with 23

4) now we know that (3x-19)=50

5) take 180 and subtract 50

6) 180-50=130

Answer:

14

Step-by-step explanation:

If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.

7 1/3 ÷ 1/2= 14.6

You cant have .6 of a cupcake, therefore she can make 14 cupcakes.

Answer:

Nicole has 9 dimes and 19 nickels.

The student weighs 108.8 pounds on Saturn if Modeling Real Life A person weighs 2.34 times as much on Jupiter as on Earth.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Modeling Real Life A person weighs 2.34 times as much on Jupiter as on

Earth.

An 85-pound student would weigh 90.1 pounds less on Saturn than

on Jupiter.

From the question:

= 85x2.34

The difference in weight

= 198.9 -90.1 = 108.8

Thus, the student weighs 108.8 pounds on Saturn if Modeling Real Life A person weighs 2.34 times as much on Jupiter as on Earth.

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The answer number line is G.

Given that the inequality 3.3w - 9 > -22.2, we need to find the value of w,

So,

3.3w - 9 > -22.2

Add 9 to both sides,

3.3w > -13.2

w > -4

Since the value of w is greater than -4 and the sign is > so the number line is G.

Hence the answer number line is G.

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The measure that would most correctly answer this question is standard deviation.

What is standard deviation?

The standard deviation is measure of how spread out data from mean.

Step-by-step explanation:

Average age of respondents in a survey is \(49\) years. Researcher interested in finding out if most respondents are close to \(49\) years or not.

Hence here measures of dispersion fact will be used.

Measures of dispersion are range and standard deviation.

Range is nothing but the difference between maximum and minimum values of the data.

Standard deviation gives proper idea about how far the data values are scattered from the mean point \(49\) years.

Therefore the correct option is standard deviation.

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Answer:

Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.

Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.

Step-by-step explanation:

I did a test and that was a correct answer.

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer: x < 5

Step-by-step explanation:

4 - 4x + 5 + 5x > 3x - 1

9 + x > 3x - 1

10 > 2x

x < 5

Mean: $145,000

Median: $305,000

To find the mean and median of the given data, let's calculate them step by step.

Mean:

The mean is calculated by summing up all the values and dividing by the total number of values. In this case, we have:

(25 * $290,000) + ($7,300,000) + (24 * $305,000) = $7,250,000

Now, divide the sum by the total number of homes (50):

$7,250,000 / 50 = $145,000

Therefore, the mean of the data is $145,000.

Median:

To find the median, we need to arrange the values in ascending order. The values are:

$290,000 (repeated 25 times)

$305,000 (repeated 24 times)

$7,300,000

Since we have an odd number of values, the median will be the middle value when arranged in ascending order. In this case, the middle value is $305,000.

Therefore, the median of the data is $305,000.

In summary:

Mean: $145,000

Median: $305,000

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Coefficient values weight varies by 25%, which is explained by the link with height.

Coefficient values have always been around -1 and 1, with -1 reflecting perfect negative linear correlation and 1 indicating perfect positive linear correlation.

The correlation coefficient in a correlation study reflects the strength of the linear relationship between two variables.

r represents the correlation coefficient.

Given this, the adult height-weight correlation is -0.50.

r = -0.50

The weight variance is, r² = (-0.50)² = 0.25

As a result, the weight variation is 25%, which is explained by the height relationship.

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Answer:

73

Step-by-step explanation:

90-17=x

x=73

The time it would take the cost to be 4 times the current cost of a gallon of milk at an annual inflation rate of 6% is calculated to be 23.8 years.

To determine the time for the cost to be 4 times the current cost of a gallon of milk, we use the compound interest formula as follows;

A(t) = A(0) (1 + r)^t

Here A(t) is the cost of 4 times the current cost at time t

A(0) is the current cost

r is the interest rate

t is the time period

Therefore;

2.70 × 4 = 2.70( 1 + 0.06)^t

2.70 × 4 / 2.70 = (1.06)^t

4 = (1.06)^t

Taking log on both sides;

t × log(1.06) = log 4

t = log 4 / log(1.06)

t = 23.791 = 23.8 years

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Answer:

x = -3 is the answer. Writing this cause brainly requires a 20 character answer.