Determine the quadrant in which each angle lies -7

Answer:

24

Step-by-step explanation:

Answer:

6 = 4

No Solution

Step-by-step explanation:

Answer:

JL = 12.5

Step-by-step explanation:

\( In\: \triangle JKL, KM\perp JL\)

Therefore, by geometric mean property:

\( KM^2 = JM\times ML\)

\( 6^2 = 8\times ML\)

\( 36 = 8\times ML\)

\( \frac{36}{8} = ML\)

\(ML= 4.5 \)

JL = JM +ML

JL = 8 + 4.5

JL = 12.5

Answer:

I think is B

because its the one that sounds good

To determine the possible rational zeros of the function f(x) = 4x^5 - x^4 + 26x^2 - 14x + 3, we can apply the Rational Root Theorem.

The possible rational zeros are all the divisors of the constant term (3) divided by the divisors of the leading coefficient (4). Therefore, the possible rational zeros are ±1, ±3, and ±1/2.

The Rational Root Theorem states that if a polynomial equation has a rational root (p/q), where p is a factor of the constant term and q is a factor of the leading coefficient, then p/q is a possible root of the equation.

In this case, the constant term is 3, and the leading coefficient is 4. The factors of 3 are ±1 and ±3, while the factors of 4 are ±1 and ±2. By applying the Rational Root Theorem, the possible rational zeros of the function are all the possible combinations of the factors: ±1, ±3, ±1/2.

Therefore, the possible rational zeros of the function f(x) = 4x^5 - x^4 + 26x^2 - 14x + 3 are ±1, ±3, and ±1/2. These values can be tested to see if any of them are actual zeros of the function by substituting them into the equation and checking if the result is equal to zero.

To learn more about coefficient click here:

brainly.com/question/1594145

#SPJ11

Answer:

15x+5

Step-by-step explanation:

(7x+5)+(8x)

Red to tiny will have a probability of 12/20.

Describe probability.

In other terms, probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favorable outcomes to all outcomes.

Probability is calculated as follows: N = N samples / N favorable outcomes

There are 20 blue numbers, of which the large ones are 17 and the small ones 3. Likewise, there are 20 red digits; the large ones are 8 and the small ones are 12.

The likelihood of receiving a little red number will be determined as follows:

Probability is calculated as follows: N = N samples / N favorable outcomes

12 good outcomes total.

There are 20 samples total.

Fill out the formula above with the value.

12/20 is the probability.

As a result, 12/20 will be the likelihood of red to little.

Learn more about probability by reading on.

brainly.com/question/24756209

#SPJ1

Answer:

b

Step-by-step explanation:

Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4

Answer:

b) 2x - y = -4

Step-by-step explanation:

The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.

The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.

Next, we need to determine which of the given options matches the graph.  It helps to transform each of them into their slope-intercept form, y = mx +b:

2x - 2x + y = - 2x + 4

y = -2x + 4  (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).

2x - 2x - y = - 2x - 4

-y = -2x - 4

Divide both sides by -1:

\(\frac{-y}{-1} = \frac{-2x - 4}{-1}\)

y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.

We could easily disregard the last two options because both of their y-intercept is 0.

Therefore, the correct answer is Option b) 2x - y = - 4

Answer:

For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅−25=−100 a ⋅ c = 4 ⋅ - 25 ...

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

.........................

Answer:

2(n+2x-6)

Step-by-step explanation:

n x 2+4x-4-8

Answer:

24 cent is 30 percent of 80 cents​

Step-by-step explanation:

24: 80*100 =

(24*100): 80 =

2400: 80 = 30

Answer:

30%

step by step explanation is given above.

Answer:

A

Step-by-step explanation:

On anotherv question these two guys said A, I got it right, and ye.

Answer:

answer is A

can be a fraction that is not a whole number

Step-by-step explanation:

hope this helps!

1. (a) The nonnegative integers under addition form a group.

This is because they satisfy the four group axioms:
- Closure: Adding two nonnegative integers always results in a nonnegative integer.
- Associativity: Addition of integers is associative, meaning that for any three nonnegative integers a, b, and c, (a + b) + c = a + (b + c).
- Identity element: The number 0 is the identity element, as adding it to any nonnegative integer leaves the integer unchanged.
- Inverse element: For every nonnegative integer a, the additive inverse -a exists in the set of nonnegative integers. Adding a and -a results in the identity element 0.

(b) The positive rational numbers under multiplication do not form a group. This is because they do not satisfy the inverse element axiom. Specifically, not every positive rational number has a multiplicative inverse that is also a positive rational number. For example, the number 2 does not have a multiplicative inverse in the set of positive rational numbers.
2. (Z*₁₁)² = {0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1}
(Z*₁₃) = {0, 1, 4, 9, 3, 12, 10, 10, 12, 3, 9, 4, 1}

To know more about integers visit:
brainly.com/question/28457183

#SPJ11

The result is 5/6, which is the probability expressed as a fraction in simplest form.

To find the probability that a car needs an oil change given that it has a certain factory defect, we divide the probability of having both the defect and needing an oil change by the probability of having the defect alone.

Let's denote:

P(D) is the probability of having the defect (given as 0.825).

P(O|D) is the probability of needing an oil change given that the car has the defect (given as 0.750).The probability that a car needs an oil change given that it has the defect can be calculated as:

P(O|D) / P(D)

Substituting the given values:

0.750 / 0.825

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 75:

(750/75) / (825/75) = 10/11.

Therefore, the probability that a car needs an oil change given that it has a certain factory defect is 5/6, expressed as a fraction in simplest form.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The transpose of A⁻¹ is the inverse of the transpose of A⁻¹, which implies that if A⁻¹ is orthogonal, then A is orthogonal. Therefore, we have shown that the matrix A is orthogonal if and only if its transpose A⁻¹ is orthogonal.

To find the orthogonal projection of vector w into the plane spanned by vectors u and v, we need to calculate the projection vector proj_w(uv).

First, we calculate the normal vector n of the plane. The normal vector is obtained by taking the cross product of vectors u and v:

n = u x v

= (1, 0, -1) x (4, 3, -2)

The cross product can be calculated as follows:

n = ((0)(-2) - (-1)(3), (-1)(4) - (1)(-2), (1)(3) - (0)(4))

= (-3, -6, 3)

Next, we normalize the normal vector n to obtain the unit normal vector n:

n = n / ||n||

= (-3, -6, 3) / √(9 + 36 + 9)

= (-3, -6, 3) / √54

= (-1/√6, -2/√6, 1/√6)

Now, we can calculate the projection of vector w onto the plane using the formula:

proj_w(uv) = w - ((w · n) / (n · n)) * n

The dot product of w and n is given by:

w · n = (2)(-1/√6) + (3)(-2/√6) + (-2)(1/√6)

= -2/√6 - 6/√6 - 2/√6

= -10/√6

The dot product of n and n is:

n · n = (-1/√6)(-1/√6) + (-2/√6)(-2/√6) + (1/√6)(1/√6)

= 1/6 + 4/6 + 1/6

= 6/6

= 1

Substituting these values into the projection formula, we have:

proj_w(uv) = (2, 3, -2) - ((-10/√6) / 1) * (-1/√6, -2/√6, 1/√6)

= (2, 3, -2) + (10/√6)(-1/√6, -2/√6, 1/√6)

= (2, 3, -2) + (-10/6, -20/6, 10/6)

= (2, 3, -2) + (-5/3, -10/3, 5/3)

= (2 - 5/3, 3 - 10/3, -2 + 5/3)

= (1/3, 1/3, -1/3)

Therefore, the orthogonal projection of vector w into the plane spanned by vectors u and v is (1/3, 1/3, -1/3).

Now, let's prove the statement that the matrix A is orthogonal if and only if its transpose A⁻¹ is orthogonal.

To prove this, we need to show two conditions:

If A is orthogonal, then A⁻¹ is orthogonal:

If A is orthogonal, it means that A · A⁻¹ = I, where I is the identity matrix.

Taking the transpose of both sides, we have (A · A⁻¹)ᵀ = Iᵀ, which simplifies to (A⁻¹)ᵀ · Aᵀ = I.

This shows that the transpose of A⁻¹ is the inverse of the transpose of A, which implies that if A is orthogonal, then A⁻¹ is orthogonal.

If A⁻¹ is orthogonal, then A is orthogonal:

If A⁻¹ is orthogonal, it means that (A⁻¹) · (A⁻¹)ᵀ = I, where I is the identity matrix.

Taking the transpose of both sides, we have ((A⁻¹) · (A⁻¹)ᵀ)ᵀ = Iᵀ, which simplifies to ((A⁻¹)ᵀ) · (A⁻¹) = I.

Learn more about transpose at: brainly.com/question/32293193

#SPJ11

Step-by-step explanation:

\(y = (x + 3) {(x - 4)}^{2} \)

The digit "1" appears 99,920 times when writing down all whole numbers from 1 to 99,999. To determine this, we can consider each place value separately.

1. Units place (1-9): The digit "1" appears once in each number from 1 to 9.

2. Tens place (10-99): In this range, the digit "1" appears in all numbers from 10 to 19 (10 times) and in the tens place of numbers 21, 31, ..., 91 (9 times). So the digit "1" appears 10 + 9 = 19 times in the tens place.

3. Hundreds place (100-999): The digit "1" appears in all numbers from 100 to 199 (100 times) in the hundreds place. Similarly, it appears in the hundreds place of numbers 201, 202, ..., 299 (100 times), and so on up to 901, 902, ..., 999 (100 times). So in the hundreds place, the digit "1" appears 100 * 9 = 900 times.

4. Thousands place (1000-9999): Similar to the previous cases, the digit "1" appears in the thousands place 1000 times in the range from 1000 to 1999. Also, it appears 1000 times in the thousands place of numbers 2000 to 2999, and so on up to 9000 to 9999. So in the thousands place, the digit "1" appears 1000 * 9 = 9000 times.

5. Ten thousands place (10,000-99,999): The digit "1" appears in the ten thousands place 90000 times since it occurs in all numbers from 10000 to 99999.

Adding up the counts from each place value:

1 + 19 + 900 + 9000 + 90000 = 99920

Therefore, the digit "1" appears 99,920 times when writing down all whole numbers from 1 to 99,999.

Learn more about digit here: https://brainly.com/question/14961670

#SPJ11

Answer: uihnjnijnjjnjuuuuuu890999999999

Step-by-step explanation: 977789gbj

The probability that the disc is either blue or white is 11/59

Given that

number of blue discs : number of white discs = 6:5

number of blue discs : number of green discs = 1:8

So, we have

Blue : White = 6 : 5

Blue : Green = 1 : 8

This can be expressed as

Blue : Green = 6 : 48

So, we have

Blue : White : Green = 6 : 5 : 48

So, we have

Blue or White : Green = 11 : 48

So, the probability is

P = 11/(48 + 11)

Evaluate

P = 11/59

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

Answer:

1/9

Step-by-step explanation:

\( {3}^{ - 2} \)

\( \frac{1}{3 \times 3} \)

\( \frac{1}{9} \)

To  calculate the volume formed by rotating the region enclosed by the equations \(x = 4y\) and \(y^3 = x\) (with \(y \geq 0\)) about the \(y\)-axis, we can use the method of cylindrical shells. By integrating the volume element of a cylindrical shell over the appropriate interval, we can determine the total volume.

To calculate the volume, we consider the cylindrical shells formed by rotating vertical strips of the region around the \(y\)-axis. The height of each shell is given by \(dy\), and the radius of each shell is the corresponding value of \(x\). Since \(x = 4y\) and \(y^3 = x\), we can express the radius of each shell as \(r = 4y\) and the height as \(h = y\). The volume element of a cylindrical shell is \(dV = 2\pi rh \, dy = 8\pi y^2 \, dy\). Integrating this expression over the interval \([0, 1]\) (based on the range of \(y\)) gives us the total volume. The integral becomes \(\int_{0}^{1} 8\pi y^2 \, dy\), which can be evaluated to find the volume.

To know more about cylindrical shells here: brainly.com/question/33182921

#SPJ11

Answer:

45 yards

Step-by-step explanation:

Formula to find area of rectangle: Length * Width

Given:

Length = 70 yards

Area = 3,150 yards

Width = 3,150/70

        ==> 45 yards

Width = 45 yards

The coordinates of (6, -4) after a reflection in the line x = 2 are:

(-4, -4)

If we have a point (x, y) and we do a reflection in the line x = a, the new coordinates of the point will be:

(a - x, y)

In this case, we have (6, -4) and the line of reflection is x = 2, then the coordinates after the reflection are:

(2 - 6, -4) = (-4, -4)

Learn more about reflections:

https://brainly.com/question/4289712

#SPJ1

The volume of pyramid A is 8 times greater than the volume of pyramid B.

The volume of a pyramid is calculated by taking the area of its base and multiplying it by the height and then dividing it by 3. In this case, pyramid a is a dilation with a scale factor of 2 of pyramid b, meaning that all of its dimensions will be doubled. This means that when calculating the volume of pyramid a, the base and height will be twice as large, so the volume of the pyramid a will be 8 times greater than the volume of pyramid b. This can be expressed mathematically as V_a = 8V_b.  This is because the scale factor is multiplied by both the base and the height of the pyramid, resulting in an increase by a factor of 8 (2 x 2 x 2). The base and height are the two components that make up the pyramid's volume, so when they are both multiplied by the same scale factor, the volume of the pyramid increases by the same factor. In this case, the scale factor is 2, so the volume increases by a factor of 8.

To know more about pyramid  refer to the link brainly.com/question/29464385

#SPJ4

The probability that a baseball player has exactly 1 hit in his next 7 at bats is 0.371, assuming his batting average is 0.165.


Let's find the probability using the binomial probability formula:P(x) = C(n, x) * p^x * (1-p)^(n-x)where:
P(x) = probability of getting x successes
n = total number of trials
x = number of successful trials
p = probability of success in a single trial
q = probability of failure in a single trial, which is equal to 1-p


Summary:
The probability of a baseball player having exactly 1 hit in the next 7 at-bats is 0.371, assuming his batting average is 0.165. This was calculated using the binomial probability formula, which takes into account the probability of success in a single trial, the number of trials, and the number of successful trials desired.

Learn more about probability click here:

https://brainly.com/question/13604758

#SPJ11

Answer:

A Q1

cos 59° = x/16

x = 16 cos 59°

x = 8.24

Q2

BC is given 23 mi

Maybe AB is needed

AB = √34² + 23² = 41 (rounded)

Q3

BC² = AB² - AC²

BC = √(37² - 12²) = 35

Q4

Let the angle is x

cos x = 19/20

x = arccos (19/20)

x = 18.2° (rounded)

Q5

See attached

Added point D and segments AD and DC to help with calculation

BC² = BD² + DC² = (AB + AD)² + DC²

Find the length of added red segments

AD = AC cos 65° = 14 cos 65° = 5.9

DC = AC sin 65° = 14 sin 65° = 12.7

Now we can find the value of BC

BC² = (19 + 5.9)² + 12.7²

BC = √781.3

BC = 28.0 yd

All calculations are rounded

a) The growth rate (r) for the logistic difference equation P(n+1) = 1.205P(n) - 0.00019P(n)² b) The carrying capacity represents the maximum population size that the environment can sustain. c) P(n+1) = P(n) = P(e), where P(e) represents the equilibrium population

a) To determine the growth rate (r), we examine the coefficient of the linear term in the logistic difference equation. In this case, the coefficient is 1.205. Therefore, the growth rate is approximately 1.205.

b) The carrying capacity (K) represents the maximum population size that the environment can sustain. In the logistic difference equation, the carrying capacity can be found by taking the limit as n approaches infinity. In this equation, the carrying capacity is not explicitly given. However, in a logistic model, the carrying capacity often corresponds to the value of P(n) when the equation reaches equilibrium. Therefore, to find the carrying capacity, we need to find the equilibrium values of the population.

c) To find the equilibrium values of the population, we set P(n+1) = P(n) = P(e), where P(e) represents the equilibrium population. Solving the equation 1.205P(e) - 0.00019P(e)² = P(e), we obtain two equilibrium values: a smaller equilibrium (P(es)) and a larger equilibrium (P(el)). These equilibrium values can be rounded to the nearest integer.

Learn more about linear term here:

https://brainly.com/question/14368568

#SPJ11

In order to answer the question, we need to refer to the image provided with the two different plans:

Question a) In order to decide which plan costs less for 18 HCF , we go on the horizontal axis to the mark 18 and read tha values for the red line(Residential) versus the blue line (Business)

We read $36 for the residential and $32 for the business, so the business costs less than the residential , and the difference is 4 dollars.

Question b) The plans cost the same at the point where the two lines intersect. That is for HCF = 14 and which shows $28 dollars.

Then, if the monthly water usage is MORE (that means we move to the right of that intersection point for larger values of the horizontal variable HCF), then the RED line becomes on top of the blue one, meaning that the cost in dollars for the red line will be LARGER that the blue one. The answer for this part is therefore that: If the monthly uses goes above this 14 HCF, the business plan costs less.