Is the expression a polynomial? If so, is it a monomial, binomial ortrinomial? 8x - 2y

The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

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\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)\)

now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.

\(~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}\)

\(x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}\)

The equation y = - 2 · x⁷ is not an exponential function because the independent variable x is the base of the formula instead of being its exponent. (Correct choice: A)

In this problem we need to determine whether the equation y = - 2 · x⁷ represent an exponential function or not. Exponential functions are expressions of the form:

y = b · aˣ

Where:

By direct comparison we notice that the given equation is not an exponential function as the independent variable x is not the exponent of the expression and it is the base instead. The expression y = - 2 · x⁷ is a power function, not an exponential function.

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Answer:From cheapest to most expensive: Bobby, Amy, Carlos

-Hope this helped!

Step-by-step explanation:

Amy pays $3. 6/2=3

Bobby pays $2.50. 15/6=2.5

Carlos pays $4. 32/8=4

Answer: 81

Step-by-step explanation: because you have 133 and 142 so if i was you i would subtract

step 1: 142-133 = 9  

Step 2: 90 - 9 = 81

There that is your answer 81

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer: there’s no slope?

Step-by-step explanation: confused

Answer:ya where the slope at

Step-by-step explanation:

Answer:

it should be girls 12 to 18

Step-by-step explanation:

i just messed around with a calculator and found it.

Answer: Option B.

Step-by-step explanation:

A recursive formula is written as:

aₙ = aₙ₋₁*13

Now, if the first term is 7, then:

a₁ = 7

This means that:

a₂ = 7*13

a₃ = (7*13)*13 = 7*(13)^2

a₄ = (7*13^2)*13 = 7*(13)^3

You already can see the pattern here, the n-th term will be written as:

aₙ = 7*(13)^(n - 1)

Then the correct option is B

Answer:

3.65

Step-by-step explanation:

The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6

Answer:

The slope is -3

Step-by-step explanation:

(2, 4) and (3, 1)

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

m= (1-4)/(3-2)

m = (-3)/(1)

m = -3

Answer:

D

Step-by-step explanation:

(b-2)(b-8)+4=0

b^2-10b+16+4=0

b^2-10b+20=0

Product of roots is given by c/a=20. So the answer is 20

Answer:

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

Step-by-step explanation:

Remmeber this:

\(slope = \frac{rise}{run} \)

The y-intercept is where the lone goes through the y-axis.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

2x + 12

Explanation:

10x - 8x = 2x, 2 + 10 = 12, so the simplified answer is 2x + 12

Answer:

look on quizlet you will find your answer to there

Answer:

the greatest common factor between 110 and 132 is 22

Step-by-step explanation:

hopefully this helps :)

Answer: 7/12

Step-by-step explanation:

1- 1/6 - 1/4

5/6 - 1/4

10/12 - 3/12

7/12 left

Answer:

a. C(1,000) = 420,491.11

b. c(1,000) = 420.49

c. dC/dx(1,000) = 429.72

d. x = 900

e. c(900) = 420

Step-by-step explanation:

We have a cost function for x units written as:

\(C(x) = 54,000 + 240x + 4x^{3/2}\)

a. The total cost for x=1000 units is:

\(C(1,000) = 54,000 + 240(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=54,000+240,000+4\cdot 31,622.78\\\\C(1,000)=54,000+240,000+ 126,491.11 \\\\C(1,000)= 420,491.11\)

b. The average cost c(x) can be calculated dividing the total cost by the amount of units:

\(c(1,000)=\dfrac{C(1,000)}{1,000}=\dfrac{ 420,491.11 }{1,000}= 420.49\)

c. The marginal cost can be calculated as the first derivative of the cost function:

\(\dfrac{dC}{dx}=240(1)+4(3/2)x^{3/2-1}=240+6x^{1/2}\\\\\\\dfrac{dC}{dx}(1,000)=240+6(1,000)^{1/2}=240+6\cdot 31.62=429.72\)

d. This value for x, that minimizes the average cost, happens when the first derivative of the average cost is equal to 0.

\(c(x)=\dfrac{C(x)}{x}=\dfrac{54,000+240x+4x^{3/2}}{x}=54,000x^{-1}+240+4x^{1/2}\\\\\\ \dfrac{dc}{dx}=54,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\\\\dfrac{dc}{dx}=-54,000x^{-2}+2x^{-1/2}=0\\\\\\2x^{-1/2}=54,000x^{-2}\\\\\\x^{-1/2+2}=54,000/2=27,000\\\\\\x^{3/2}=27,000\\\\\\x=27,000^{2/3}=900\)

e. The minimum average cost is:

\(c(900)=54,000(900)^{-1}+240+4(900)^{1/2}\\\\c(900)=60+240+120\\\\c(900)=420\)

The probability of passing at least one will be 0.70.

We know that,

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

here, we have,

Probability of passing history course = 0.59

Probability of passing math course = 0.60

Probability of passing both courses = 0.49

so, we get,

Probability of passing at least one will be

⇒ 0.59 + 0.60 – 0.49

⇒ 0.70

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complete question:

A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?

Answer:

go look at my first question

Step-by-step explanation:

We can estimate the square root to be between 23 and 24 by hand, and using a calculator we can see that the exact value is 23.388

Let's solve this without using a calculator.

To check this, we can just take integer numbers and square them and see which one gives an outcome equal to or closer to 547.

For example, if we start with 20 we get:

20*20 = 400

Let's go higher, if we take 23:

23*23 = 529

The next one is 24:

24*24 = 576

Then we can estimate:

√529 < √547 < √576

23 < √547 < 24

So our number is between 23 and 24, now using a calculator we can get the exact value:

√547 = 23.388

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Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

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The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

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x = 7

9(11 - x) = 3(3x -9)

Expanding the expression:

9(11) - (9x) = 3(3x) -3(9)

99 - 9x = 9x - 27

collect like terms:

99 + 27 = 9x + 9x

126 = 18x

Divide both sides by 18:

126/18 = 18x/18

x = 7

Answer:

-24

Step-by-step explanation:

q = -17

q - 7 = -17 - 7

= -24

q - 7 = -24

Answer:

a: 42%

b: don't have the info for

c: 48%

d: don't have info for

e: don't have info for

f: don't have info for

Step-by-step explanation:

sorry I cant answer everything

Step-by-step explanation:

Angle ADB + Angle BDC = 90° (right angle)

Since Angle ADB = Angle BDC,

Angle BDC = 90° / 2 = 45°.

The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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