Prove the identity note that each statement will be sent where

Answer: try 18

Step-by-step explanation:

Answer:

(26.2252 ; 27.3748)

Step-by-step explanation:

The confidence interval is given by :

x ± Margin of error

The margin of error = Zcritical * (σ/√(n))

σ = 7.5 ; n = 654

Zcritical = Zα/2 = 1.96

The margin of error = 1.96 * (7.5/√654) = 0.5748

The confidence interval :

Upper boundary = 26.8 + 0.5748 = 27.3748

Lower boundary = 26.8 - 0.5748 = 26.2252

(26.2252 ; 27.3748)

We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)

Step-by-step explanation: To simplify, we will apply the Quotient Rule.

The 5's in this problem are bases so as you apply the quotient rule,

subtract the exponents but leave the base alone to get 5⁴.

We can also write 5⁴ as 5 · 5 · 5 · 5.

Answer:

A) 5*5*5*5

Step-by-step explanation:

The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

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The solution to the system of equations is 3x + y = -19 and -3x + 3y = 3 is (-5, -4)

From the question, we have the following parameters that can be used in our computation:

3x + y = -19

-3x + 3y = 3

Next, we plot the graph of the system (see attachment)

Using the graphing function on a calculator, we have the solution to be

(-5, -4)

This is so because the equations 3x + y = -19 and -3x + 3y = 3 intersect at the point (-5, -4) and they are not equivalent equations

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Answer:

Its A

Step-by-step explanation:

ez

Answer:

A

Step-by-step explanation:

y= -3x + 7

Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Step-by-step explanation:

The company sales in year 14, given the rate of increase and the amount made in sales would be C $3,656,872.

In the first year, the sales of the company were $ 475, 000 and this sales is scheduled or predicted to grow at 17 %.

This means that the company sales in year 14 would be :

= Initial sales x ( 1 + rate ) ^ number of years

Initial sales = $ 475, 000

Rate = 17 %

Number of years = 14 years

The company sales in year 14 is:

= 475, 000 x ( 1 + 17 %) ¹⁴

= $3, 656, 872

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The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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The other point through which a line that describes a proportional relationship must pass is the point (0, 0)

A proportional relationship is one in which each the ratio of the x and y–values of each point on the line of the function is a constant.

The given relationship described by the line = A proportional relationship

The given point on the line = (6, 2)

Required; The other point through which the line must pass.

Given that the relationship described by the line, the ratio of all points on the line is a constant and each point (x, y) can be expressed in the form;

y = K•x

Which gives;

\( \displaystyle{ K = \frac{y}{x} }\)

Where, K is a constant which is not equal to zero.

From the zero product property, which states that the product of all numbers and zero is also zero, we have;

When x = 0, k × 0 = 0 = y

A point through the line must pass is therefore; (0, 0)

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Answer:

C. φ

Step-by-step explanation:

\(tan \phi \: = \frac{6}{5} \\ \\ tan x \: = \frac{6}{5} \\ \implies \: x = \phi\)

Thus \( \Phi \) can replace x

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

1. 3 because I lays on rhe angle

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Answer:

1360 in^2

Step-by-step explanation:

Start by finding the area of the center square - 20*20=400

Next, find the area of one of the rectangular parts - 20*12=240

Multiply 240 by 4 because there are 4 of the same rectangular shapes - 240*4=960

Add 400 and 960 together to get the total area.

I hope this helps!

SOLUTION:

Let the smaller integers be "x" and the other integer be "x+8"

\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)

where, n denotes to number of elements in set .

Since, given set contains 4 elements .

Thus , 2⁴ {2 raise to power 4} .

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)

Therefore, Required subsets are 16.

They are , Namely;

\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)

_____________________________

If n is the number of elements in the set then,

No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).

Let's take another example, {1,2}

Here, n = 2

subsets =2^2 =4

Subsets = ϕ, {1}, {2},{1,2}

Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set

Answer: 60h + 75 < 200

                               _

Step-by-step explanation: You dont want to spend more than 200 dollars and every hour (H) is multiplied to 60

The value of sin -1(square root 2/2) is π/4 or 45 degrees.

Inverse sine, also known as arcsine, is a trigonometric function that is the inverse of the sine function. It is denoted as sin^-1(x), where x is a number between -1 and 1.

The inverse sine function is used to find the angle in a right triangle that has a given sine value. In other words, if we know the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle, we can use the inverse sine function to find the measure of that angle.

The inverse sine function returns an angle in radians, which can be converted to degrees if needed. It has a domain of -1 ≤ x ≤ 1 and a range of -π/2 ≤ sin^-1(x) ≤ π/2.

Like other inverse trigonometric functions, the inverse sine function is a multivalued function. This means that for a given value of x, there can be multiple angles that satisfy sinθ = x. To address this, the principal value of the inverse sine function is defined as the angle between -π/2 and π/2 that satisfies sinθ = x.

The inverse sine function has many applications in mathematics, physics, engineering, and other fields. It is used in the calculation of angles in a variety of contexts, such as in the design of structures and in the analysis of wave phenomena. It is also used in calculus and other advanced mathematics courses to solve integrals and differential equations.

To see why, we can use the definition of the inverse sine function, which gives us the angle whose sine is equal to the input value. In this case, we have:

sin -1(square root 2/2) = θ

where sin(θ) = square root 2/2.

We know that the sine of 45 degrees (or π/4 radians) is also equal to square root 2/2. Therefore, we have:

sin(45 degrees) = square root 2/2

Taking the inverse sine of both sides gives us:

sin -1(square root 2/2) = 45 degrees = π/4

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Answer:

Positive slope

Step-by-step explanation:

Because he's going up

Answer:

B, Positive

Step-by-step explanation:

Since Mrs. Powell is hiking UP,

the slope would also go up.

On a number line, the numbers going up get higher ( 1, 2, 3, ).

The altitude is getting higher, so numbers are being added.

A number with a plus ( + ) is positive.

Answer:

93.6

Step-by-step explanation:

The easiest way for me to complete this was to break it up into parts. I Separated the small triangle and the big triangle. I turned them both into squares and multiplied the dimensions. I then divided those by two and added them together.

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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Answer:

3/15, 10/15, 13/15

Step-by-step explanation:

We want 1/5 and 2/3 to share a common denominator.

1/5 has a denominator of 5, and 2/3 has a denominator of 3. They are both prime, so you can't have a smaller LCD than they multiplied, which is 15.

To make 1/5 into a denominator of 15, we multiply both the numerator and denominator by 3 (15 divided by 3) to make sure the fraction stays the same.

We get (1×3)/(5×3)=3/15

Apply this to 2/3, but instead of multiplying by 3, which gives you a denominator of nine, we multiply by 5 to make sure we get 15.

We get (2×5)/(3×5)=10/15

Now we see 3/15+10/15, using (numerator+numerator)/(denominator+denominator).

We get 13/15

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According to the given information, approximately 8.49 percentage of steers weigh between 1200 and 1300 pounds.

The standard deviation in statistics is a measurement of how much a collection of data values can vary or deviate from the mean (average). It reveals the degree to which the individual data elements in a dataset deviate from the dataset mean.

First, we need to standardize the values using the z-score formula:

\(z = \frac{(x - \mu) }{\sigma}\)

When x is the relevant value, a represents the mean, and a represents a standard deviation.

For \(x = 1200:\)

\(z = (1200 - 1111) / 67 = 1.33\)

For x = 1300:

\(z = (1300 - 1111) / 67 = 2.80\)

The area underneath the normal distribution curve between all these two z-scores must then be determined. To determine this area, we can use a calculator or a conventional normal distribution table. We can use a calculator and the normalcdf function to calculate:

normalcdf(1.33, 2.80, 0, 1)

This gives us a result of 0.0849, or approximately 8.49%.

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Answer:

2 \(\frac{2}{9}\) days

Step-by-step explanation:

Let d = the number of days.

\(\frac{1}{4}\) d = \(\frac{1}{5}\)d = 1

\(\frac{5}{20}\) d + \(\frac{4}{20}\) d = 1

\(\frac{9}{20}\) d = 1  Multiply both sides by \(\frac{20}{9}\)

(\(\frac{20}{9}\))(\(\frac{9}{20}\)) d = 1(\(\frac{20}{9}\))

d = \(\frac{20}{9}\)   I can break 20 into 9 + 9 + 2

d = \(\frac{9}{9}\) + \(\frac{9}{9}\) + \(\frac{2}{9}\)           \(\frac{9}{9}\) = 1

d = 1 + 1 + \(\frac{2}{9}\)

d = 2 \(\frac{2}{9}\)

The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.

Let's suppose its initial term is a , multiplication factor is  r and let it has total n terms,

then, its sum is given as:

\(S_n = \dfra\)\(\dfrac{a(r^n-1)}{r-1}\)

(sum till nth term)

Given geometric sequence;

85 +85(.9) +85(.9)² + ...

a = 85

r = 0.9

its sum is given as:

\(S_n = \dfra\)\(\dfrac{a(r^n-1)}{r-1}\)

\(S_n = \dfrac{85(0.9^5-1)}{0.9-1}\\\\S_n = \dfrac{85(0.5904-1)}{-0.1}\\\\\\S_n = \dfrac{85(-0.4095)}{-0.1}\\\\S_n = 348.08\)

Thus,

The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.

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Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Given statement solution is :- Outputs and values g(2/3) = 2/3.

To summarize:

g(0) = 0

g(-1) = undefined

g(2) = undefined

g(2/3) = 2/3

To find the values of g(x) for the given inputs, we substitute each input into the function g(x) = x / √(\(1 - x^2\)). Let's calculate the values:

g(0):

Substitute x = 0 into the function:

g(0) = 0 / √(\(1 - 0^2\))

= 0 / √(1 - 0)

= 0 / √1

= 0

Therefore, g(0) = 0.

g(-1):

Substitute x = -1 into the function:

g(-1) = (-1) / √(1 - \((-1)^2\))

= (-1) / √(1 - 1)

= (-1) / √0

Since the square root of 0 is undefined, g(-1) is undefined.

g(2):

Substitute x = 2 into the function:

g(2) = 2 / √(\(1 - 2^2\))

= 2 / √(1 - 4)

= 2 / √(-3)

Since the square root of a negative number is undefined in the real number system, g(2) is undefined.

g(2/3):

Substitute x = 2/3 into the function:

g(2/3) = (2/3) / √(1 - \((2/3)^2\))

= (2/3) / √(1 - 4/9)

= (2/3) / √(5/9)

= (2/3) / (√5/√9)

= (2/3) / (√5/3)

= (2/3) * (3/√5)

= 2√5 / 3√5

= 2/3

Therefore, outputs and values g(2/3) = 2/3.

To summarize:

g(0) = 0

g(-1) = undefined

g(2) = undefined

g(2/3) = 2/3

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Answer:

29

Step-by-step explanation:

Plug in your variables and follow the order of operations.

11-5 which equals 6.

4x2 which is 8

then divide the 8 by 2 which equals 4

then subtract 27 and 4 which equals 23

and finally add 23 and 6 which equals 29.