Find the function value.

sec45° =

a. 2
b. √3
c. √2
d. (2√3)/3

Answer:

(B) 54 1/8

6×9

Answer:

I believe the answer is 0.55

Step-by-step explanation:

divide5/9

To find the differential of the function y = s / (5 + 9s), we differentiate it with respect to s. The resulting differential gives us an expression for the rate of change of y with respect to s.

To differentiate the function y = s / (5 + 9s) with respect to s, we use the quotient rule of differentiation. The quotient rule states that for a function u/v, the derivative is given by (v * du/ds - u * dv/ds) / v^2.

In this case, u = s and v = (5 + 9s). Using the quotient rule, we have:

dy/ds = [(5 + 9s) * d/ds(s) - s * d/ds(5 + 9s)] / (5 + 9s)^2

Since d/ds(s) = 1 and d/ds(5 + 9s) = 9, we can simplify the expression:

dy/ds = (5 + 9s - 9s) / (5 + 9s)^2

Simplifying further, we have:

dy/ds = 5 / (5 + 9s)^2

Therefore, the differential of the function y = s / (5 + 9s) is dy/ds = 5 / (5 + 9s)^2. This represents the rate of change of y with respect to s.

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To find the differential of the function y = s / (5 + 9s), we differentiate the function with respect to s. The resulting differential represents the change in y for a small change in s.

We start by rewriting the given function as y = s / (5 + 9s) = s(5 + 9s)^(-1). To find the differential, we differentiate this function with respect to s using the quotient rule.

Applying the quotient rule, the derivative of y with respect to s is given by:

dy/ds = (5 + 9s)^(-1) - s(9)(5 + 9s)^(-2)(9) = (5 + 9s)^(-1) - 81s(5 + 9s)^(-2)

Therefore, the differential of the function y = s / (5 + 9s) is dy/ds = (5 + 9s)^(-1) - 81s(5 + 9s)^(-2). This expression represents the rate of change of y with respect to s.

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The probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

σ_sample = σ / sqrt(n)

σ_sample = 2.5 / sqrt(55)

σ_sample ≈ 0.336

Now, we can standardize the values of 17 and 18 pounds using the Z-score formula. This will tell us how many standard deviations away from the population mean these values are:

Z = (X - μ) / σ_sample

Z_17 = (17 - 17.2) / 0.336 ≈ -0.595

Z_18 = (18 - 17.2) / 0.336 ≈ 2.381

Now we will use the standard normal distribution (Z-distribution) to find the probabilities corresponding to these Z-scores. You can use a Z-table, statistical software, or an online calculator to find these probabilities.

P(Z < -0.595) = 0.2760

P(Z < 2.381) = 0.9915

To find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds, we will find the difference between the probabilities corresponding to the two Z-scores:

P(17 < X < 18) = P(Z < 2.381) - P(Z < -0.595)

P(17 < X < 18) = 0.9915 - 0.2760

P(17 < X < 18) ≈ 0.7155

So, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

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True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.

An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.

However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.

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Answer. I think is A

Step-by-step explanation:

Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer:

no because the lines are not parallel

The true statements are: The Chinese Remainder Theorem guarantees a unique solution to any system of modular equations.

Fermat's Little Theorem allows us to conclude that ap^−1≡1(mod p) for any integer a and any prime p.

The first formula given in the question for computing x using CRT is also true.

Statement 3, "If b≥p, then a^b−p+1≡a^b (mod p)", is not necessarily true. Fermat's Little Theorem states that if p is prime and a is not divisible by p, then a^(p-1) ≡ 1 (mod p). However, this does not extend to arbitrary exponents b.

Statement 4, "If b ≡ c (mod p), then a^b≡a^c (mod p)" is true by Fermat's Little Theorem, which implies that a^(p-1) ≡ 1 (mod p), we can write b = kp + c for some integer k, then

a^b = a^(kp+c) = (a^p)^k * a^c ≡ a^c (mod p)

since a^p ≡ a^(p-1) * a ≡ 1 * a ≡ a (mod p) by Fermat's Little Theorem.

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The tree grows a 2.2 feet per year and have an initial height 6.6. So the equation of the height will be 6.6+2.2t.

Let the increase in height be a linear equation,

Let H be the height of the tree, t represent number of years.

We do not know the coefficients.

So, let H = a + b t

When t=o, H = 6.6 , So a= 6.6

When t= 1 , H = 6.6 + 2.2t

So the equation for the height of the tree with respect to years will be

H = 6.6 + 2.2t

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Answer:

1,3

Step-by-step explanation:

If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point?

4-3=1

2+1=3

(1,3)

Answer: (-1,5)

Step-by-step explanation:

Answer:

The answer to the question is (-5, -9)

Answer:

1. Since the equation can be written in the form y=kx y = k x , y varies directly with x and k . The constant of variation, y , is 5 .

Step-by-step explanation:

Answer:

1. 25

2. Rate of Change

3. zero

4. 20

5. 2.16

6. 36ft

7. $144

Hope this helps

I dont know if all of these are right if not let me know

The quadratic equation u² - u - 6 = 0 where u = (x -4) is equivalent to (x-4)² – (x − 4) − 6 = 0 option (D) is correct.

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have a quadratic equation:

(x-4)² – (x − 4) − 6 = 0

Let (x - 4) = u

u² - u - 6 = 0

Thus, the quadratic equation u² - u - 6 = 0 where u = (x -4) is equivalent to (x-4)² – (x − 4) − 6 = 0 option (D) is correct.

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Answer:Option D on edge 2022

Step-by-step explanation:

The two plans cost the same for 14 rentals.

A linear equation is an equation in which the highest degree of the variable(s) is 1. The equation takes the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept.

To find out the number of rentals for which the two plans cost the same, we need to set the two expressions equal to each other and solve for the number of rentals. Let's call the number of rentals "x".

Plan 1: 12 + x * 1 = Plan 2: 5 + x * 1.50

To solve for x:

12 + x * 1 = 5 + x * 1.50

12 - 5 = x * 1.50 - x * 1

7 = 0.5 * x

x = 14

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

The depth of water in tank A is modeled by a differentiable and increasing function h.

This means that the function h describes how the depth of water changes as time passes.

The fact that it is differentiable means that the function has a well-defined slope at every point, which indicates how quickly the depth is changing. This means that the function is continuous and smooth, with no sharp turns or corners.
Furthermore, the fact that the function is increasing means that the depth is always getting higher over time.

This makes sense since water is constantly being added to the tank.

Hence, the depth of water in tank A is described by a differentiable and increasing function h, which means that the function has a well-defined slope at every point and that the depth is always getting higher over time.

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Answer:

Proved

Step-by-step explanation:

picture above explains it but it requires me 20 words in order to answer this question so don't mind this. (If anyone is willing to help me answer my chemistry question, thanks)

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Given that a student lives in the dormitory, what is the probability that she/he is an international student

=  P(I∩D)/P(D)

= (0.10×0.80)/(0.60 × 0.20 +0.30×0.50 +0.10×0.80 ) =0.22857142

Given that a student lives in the dormitory, what is the probability that she/he is from Tennessee? P(T|D)

P(T∩D)/P(D)

= (0.60 ×0.20)/(0.60 ×0.20 +0.30×0.50 +0.10×0.80 ) =0.34285714

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Answers to both subparts are shown:

(A) Probability that she/he is an international student: 0.22857142

(B) Probability that she/he is from Tennessee: 0.34285714

Probability refers to potential.

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

(A) So, we know that a student lives in the dormitory, what is the probability that she/he is an international student?

= P(I∩D)/P(D)

= (0.10×0.80)/(0.60 × 0.20 +0.30×0.50 +0.10×0.80 ) =0.22857142

(B) Given that a student lives in the dormitory, what is the probability that she/he is from Tennessee? P(T|D)

= P(T∩D)/P(D)

= (0.60 ×0.20)/(0.60 ×0.20 +0.30×0.50 +0.10×0.80 ) =0.34285714

Therefore, answers to both subparts are shown:

(A) Probability that she/he is an international student: 0.22857142

(B) Probability that she/he is from Tennessee: 0.34285714

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Answer:

SAS

i think! hope it helps.

Answer:

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Which is the graph of the given function?

Here we have the exponential decay:

f(x) = 100*(0.7)^x

So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).

Now, if we evaluate in x = 0 we get:

f(0) =  100*(0.7)^0 = 100

Then it goes through the point (0, 100).

If we evaluate in x = 2, we get:

f(2) = 100*(0.7)^2 = 49

Then it also goes through the point (2, 49).

With all that in mind, the correct option is:

"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."

Answer:

\(P = [-3/5,2.33]\)

Step-by-step explanation:

Given

See attachment for line segment RQ

\(P = \frac{5}{6}\) of RQ

Required

The coordinates of P

Using line segment ratio formula, we have:

\(P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}]\)

If P is at:

\(P = \frac{5}{6}\)

Then:

\(m : n = \frac{5}{6} : 1 -\frac{5}{6}\)

Solve

\(m : n = \frac{5}{6} : \frac{6-5}{6}\)

\(m : n = \frac{5}{6} : \frac{1}{6}\)

Multiply by 6

\(m : n = \frac{5}{6} *6: \frac{1}{6} * 6\)

\(m : n = 5 : 1\)

By comparison

\(m=5\ \& n = 1\)

From the attached line segment

\(R(x_1,y_1) = (4,-1)\)

\(Q(x_2,y_2) = (-5,3)\)

So, we have:

\(P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}]\)

\(P = [\frac{-25 + 4}{6},\frac{15 -1}{6}]\)

\(P = [\frac{-21}{6},\frac{14}{6}]\)

\(P = [-3/5,2.33]\)

My answer is 5.6.

you have to divide 1.4/15. Once you’ve done that step. Your answer is going to be multiplied resulting to 5.6. I hope this helps!

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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Answer:

\(\sqrt{8x-4}\)

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(8x - 13)

= \(\sqrt{8x-13+9}\)

= \(\sqrt{8x-4}\)

Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15