what is the angle from x​

Answer:

9

Step-by-step explanation:

because, 30 (the percentage) /100(over one hundred percent) x 30(the actual price) = 9

Answer:

a ≥ -3

Step-by-step explanation:

Answer:

a ≥ -3

Step 1: Simplify both sides of the inequality.

6 ≥ − 6a − 12

Step 2: Flip the equation.

−6a − 12 ≤ 6

Step 3: Add 12 to both sides.

−6a − 12 + 12 ≤ 6 + 12

−6a ≤ 18

Step 4: Divide both sides by -6.

−6a/−6  ≤  18/−6

a ≥ −3

I used a calculator, hope this helps

The x-intercept = -3

The y-intercept = 2

Explanation:

the given equation: -8/3 x+4y=8

To get the x intercept, we make y = 0.

The x-intercept = -3

To get y intercept, we will make x = 0

The y-intercept = 2

A sample of 38 adults who has own an answering machine,

a) The probability that in a sample of 38, exactly 15 people own an answering machine is 0.061.

b) The probability that in a sample of 38, at most 15 people own an answering machine is 0.92381.

We have three in ten adults own an answering machine . That is probabilty of success, p = 3/10

Sample size, n = 38

Using Binomial Probability distribution,

X ~ Binom( 38, 0.3)

where X is random variable of adults has own an answering machine.

P(X= x) = ⁿCₓ (p)ˣ1-p)⁽ⁿ⁻ˣ⁾

The probability that in a sample of 38, exactly 15 people own an answering machine. , P(X= 15)

= ³⁸C₁₅(0.3)¹⁵ )(1 - 0.3)²³

= 38!/15!23! (0.3)¹⁵5(0.7)²³

= 0.06075 ~ 0.061

so, P(X= 15) = 0.061

b) The probability that in a sample of 38, at most 15 people own an answering machine, P(X<= 15)

Now, P(X≤ 15) = P( X= 1 ) + P(X= 2) + ... + P(X= 15) or 1 - P(X>15)

= 0.923814121

Hence, required probabilities

are 0.061 and 0.9238.

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The largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

Explanation:

To find where the function is increasing, we need to find where the first derivative of the function is positive. Taking the derivative of f(x), we get:

f'(x) = (-2x) / (x^2 + 1)^2

The denominator of this expression is always positive, so the sign of f'(x) is determined by the numerator. The numerator is negative for x < 0 and positive for x > 0. Therefore, f(x) is decreasing on (-∞, 0) and increasing on (0, ∞).

We also need to check the endpoints of these intervals to make sure that the function is increasing on the entire interval. As x approaches negative infinity, the function approaches 0, and as x approaches positive infinity, the function approaches 0. Therefore, the function is increasing on (-∞, 0) ∪ (0, ∞).

In summary, the largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

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Answer:

The answer is A

Step-by-step explanation:

Fist multiply 3 and .15 to get .45 for 3 pencils. Then subtract .45 from 6.45 and get 6. Then divided 6 by 5 to get 1.2 for each book

i think the answer is a: $1.20

my work:

3 x 0.15 = 0.45.

6.45 - 0.45 = 6.00

6.00 / 5 = 1.20

and i checked my work by doing 1.20 x 5 + 0.40 = $6.45.

The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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Answer:

20.

Step-by-step explanation:

20+(1/5)20=24

The probability that cards are from different suits is \(\frac{39}{51}\)

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

There are 4 suits hearts, diamonds, club and spade in a standard deck of 52 cards.

Each of them has 13 cards each .

So when we pick first card from a single suit

we can pick it in 13 ways , now 12 cards are left.

We can pick the 2nd card from the same suit in 12 different ways .

So to pick 2 cards from a single suit we have 13x12 ways.

to pick 2 card from 4 suits = 4x13x12=624 ways

Total ways of choosing 2 cards from the pack of 52 cards is 52 X 51 =2652

probability that the cards are of same suits=\(\frac{624}{2652} =\frac{12}{51}\)

probability that the cards are of different suits=\(1-\frac{12}{51} =\frac{39}{51}\)

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The probability of occupying the ground level increases as the temperature increases, while the probability of occupying the excited states decreases.

Given data: Nondegenerate energy levels with ε/k = 0, 100, and 200 K.'

The probability of occupying the ground level (i=0) when T=90 K is:

P0,90K = e^(-ε0/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }

MP0,90K = e^(-0/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P0,90K

= 1 / { 1 + e^(-100 × 9) + e^(-200 × 9) }= 0.9475 (approximately)

The probability of occupying the excited state (i=1)

when T=90 K is:P1,90K = e^(-ε1/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P1,90K

= e^(-100/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P1,90K

= e^(-9000) / { 1 + e^(-9000) + e^(-18000) }= 0.052 (approximately)

The probability of occupying the excited state (i=2) when

T=90 K is:P2,90K = e^(-ε2/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P2,90K

= e^(-200/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P2,90K

= e^(-18000) / { 1 + e^(-9000) + e^(-18000) }

= 0.0005 (approximately)

The probability of occupying the ground level (i=0) when

T=900 K is:

P0,900K = e^(-ε0/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }

P0,900K = e^(-0/k × 900 K) / { e^(-0/k × 900 K) + e^(-100/k × 900 K) + e^(-200/k × 900 K) }

P0,900K = 1 / { 1 + e^(-100 × 90) + e^(-200 × 90) }

= 0.9999999999970 (approximately)

The probability of occupying the excited state (i=1)

when T=900 K is:P1,900K = e^(-ε1/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P1,900K

= e^(-100/k × 900 K) / { e^(-0/k × 900 K) + e^(-100/k × 900 K) + e^(-200/k × 900 K) }

P1,900K = e^(-90000) / { 1 + e^(-90000) + e^(-180000) }= 1.5 × 10^-8 (approximately)

Therefore, the probability of occupying the ground level increases as the temperature increases, while the probability of occupying the excited states decreases.

To know more about Probability, The probability of occupying the ground level increases as the temperature increases, while the probability of occupying the excited states decreases.

Given data: Nondegenerate energy levels with ε/k = 0, 100, and 200 K.'

The probability of occupying the ground level (i=0) when T=90 K is:

P0,90K = e^(-ε0/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }

MP0,90K = e^(-0/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P0,90K

= 1 / { 1 + e^(-100 × 9) + e^(-200 × 9) }= 0.9475 (approximately)

The probability of occupying the excited state (i=1)

when T=90 K is:P1,90K = e^(-ε1/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P1,90K

= e^(-100/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P1,90K

= e^(-9000) / { 1 + e^(-9000) + e^(-18000) }= 0.052 (approximately)

The probability of occupying the excited state (i=2) when

T=90 K is:P2,90K = e^(-ε2/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P2,90K

= e^(-200/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P2,90K

= e^(-18000) / { 1 + e^(-9000) + e^(-18000) }

= 0.0005 (approximately)

The probability of occupying the ground level (i=0) when

T=900 K is:

P0,900K = e^(-ε0/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }

P0,900K = e^(-0/k × 900 K) / { e^(-0/k × 900 K) + e^(-100/k × 900 K) + e^(-200/k × 900 K) }

P0,900K = 1 / { 1 + e^(-100 × 90) + e^(-200 × 90) }

= 0.9999999999970 (approximately)

The probability of occupying the excited state (i=1)

when T=900 K is:P1,900K = e^(-ε1/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P1,900K

= e^(-100/k × 900 K) / { e^(-0/k × 900 K) + e^(-100/k × 900 K) + e^(-200/k × 900 K) }

P1,900K = e^(-90000) / { 1 + e^(-90000) + e^(-180000) }= 1.5 × 10^-8 (approximately)

Therefore, the probability of occupying the ground level increases as the temperature increases, while the probability of occupying the excited states decreases.

To know more about standars d

For a sample of rating of an automobile manufacturer's van regarding rating of 28.3 miles/gallon (mpg), the Z-test statistic value is equals to the -1.631.

Z-test is a parametric test. When the sample size is sufficiently large, it is mostly used. This test statistic is computed a standard normal distribution. It is then compared with the critical value (obtained from z-table). If the test statistic value is greater than it, there is evidence to reject the null hypothesis. We have an automobile manufacturer with its van rating. A sample of 200 vans is randomly considered. Sample size, n = 200

Mean of rating = 28

Standard deviations = 2.6

Lavel of significance= 0.01

To test the firm'claim we have to consider hypothesis testing here. Since it is claimed by an automobile manufacturer that its car has a 28.3 miles/gallon (MPG) rating, therefore, the null hypothesis and alternative can be stated as:

\(H_0 :μ = 28.3\)

\(H_a :μ≠28.3\)

Now, to determine the value of the test statistic, consider the Z-test : \( z = \dfrac{{M - \mu }}{{\dfrac{\sigma }{{\sqrt n }}}}\)

where, M -> mean

n --> sample size

Substitute all known values in above formula, \(= \dfrac{{28 - 28.3}}{{\dfrac{{2.6 }}{{\sqrt {200} }}}}\\\)

\(= \dfrac{{-0.3}}{{\dfrac{{0.26 }}{{\sqrt {2} }}}}\\\)

=> z = - 1.631

Hence, required test statistic value is -1.631.

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The Integral test, which is also known as Cauchy's criterion, is a method that determines the convergence of an infinite series by comparing it with a related definite integral.

In a series, the terms can either be decreasing or increasing. When the terms are decreasing, the Integral test is used to determine convergence, whereas when the terms are increasing, the Integral test can be used to determine divergence. For example, consider the series\[S = \sum\limits_{n = 1}^\infty {\frac{{\ln (n + 1)}}{{\sqrt n }}} \]. Now, we'll apply the Integral test to determine the convergence of the above series. We first represent the series in the integral form, which is given as\[f(x) = \frac{{\ln (x + 1)}}{{\sqrt x }},\] and it's integral from 1 to infinity is given as \[I = \int\limits_1^\infty {\frac{{\ln (x + 1)}}{{\sqrt x }}} dx\]. Next, we'll find the integral of f(x), which is given as \[I = \int\limits_1^\infty {\frac{{\ln (x + 1)}}{{\sqrt x }}} dx\]\[u = \ln (x + 1),\] so, the equation can be rewritten as \[I = \int\limits_0^\infty {u^2 e^{ - 2u} du}\]\[I = \frac{1}{{\sqrt 2 }}\int\limits_0^\infty {{y^2}e^{ - y} dy}\]\[I = \frac{1}{{\sqrt 2 }}\Gamma (3)\]. The given series [infinity] 3 cos(n) n n = 1 is a converging series because the Integral test is applied to determine its convergence.

The Integral test helps to determine the convergence of a series by comparing it with a related definite integral. The Integral test is only applicable when the terms of the series are decreasing. If the series fails the Integral test, then it's necessary to use other tests to determine the convergence or divergence of the series. The Integral test is a simple method for determining the convergence of an infinite series. Therefore, the series [infinity] 3 cos(n) n n = 1 is a converging series. The Integral test is applied to determine the convergence of the series and it is only applicable when the terms of the series are decreasing.

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\(3v^2-10v+3=0\\\\\implies 3v^2 - 9v-v +3=0\\ \\\implies 3v(v-3)-(v-3)=0\\\\\implies (v-3)(3v-1)=0\\\\\implies v = 3,~~v=\dfrac 13\)

Answer:

780

Step-by-step explanation:

So 5% is 39 so 5% x 20 is 100% do the same with the 39 so do

39 x 20 = 780

Answer:

f^-1 (x) = x/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?

It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).

The ratios are still true, but the angles do not match. So the whole answer is incorrect.

Answer:

1.91

Step-by-step explanation:

191% means \(\sf \frac{191}{100}\)

So to write 191% as a decimal, simply divide it by 100.

To divide a number by 100, move the decimal point to the left by 2 places.

\(\sf \implies 191 \div 100=1.91\)

Answer:

The diver will hit the water at 1.5 seconds

Step-by-step explanation:

Given

\(h= -16(t-1.5)(t+1)\)

Required (Missing from the question)

When will the diver hit the water?

To do this, we simply solve for t

When the diver hits the water, the height is 0 (at that point)

So, substitute 0 for h in \(h= -16(t-1.5)(t+1)\)

\(0= -16(t-1.5)(t+1)\)

Divide both sides by -16

\(\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}\)

\(\frac{0}{-16} =(t-1.5)(t+1)\)

\(0 =(t-1.5)(t+1)\)

\((t-1.5)(t+1)=0\)

Split

\(t - 1.5 = 0\) or \(t + 1 = 0\)

Solve for t

\(t = 1.5\) or \(t = -1\)

But time (t) can not be negative.

So:

\(t = 1.5\)

Hence, the diver will hit the water at 1.5 seconds

Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

Answer:

a= 22.5

b= 37.5

Step-by-step explanation:

In △BCD:

Applying Pythagoras' Theorem,

a² +30²= b²

a² +900= b² -----(1)

In △ABC:

Applying Pythagoras' Theorem,

b² +50²= (40 +a)² -----(2)

Substitute (1) into (2):

a² +900 +50²= 40² +2(40)(a) +a² (expand bracket)

a² +900 +2500= 1600 +80a +a²

a² +3400= a² +80a +1600 (simplify)

a² +3400 -a² -80a -1600= 0 (bring everything to 1 side)

-80a +1800= 0

80a= 1800 (+80 on both sides)

a= 1800 ÷80

a= 22.5

Subst. a= 22.5 into (1):

22.5² +900= b²

b²= 506.25 +900

b²= 1406.25

b= √1406.25 (square root both sides)

b= 37.5 (reject negative value since b is a length)

☆(a +b)²= a² +2ab +b²

2000 feet can be represented as 20 blue whales in a row of each 100 feet.

What is a blue whale?

I feet = 30.48 centimeters

To explain what the length of 2000 feet looks like:

Take the example of a blue whale of 100 feet.

Now, imagine placing up 20 blue whales one behind the other.

20 × 100 feet = 2000 feet

Therefore, 2000 feet can be represented as 20 blue whales in a row of each 100 feet.

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Answer:

A) 12

Step-by-step explanation:

110-50=60

60/5 = 12

Hope this helps!!

Using area of regular Polygon, the perimeter of the total grazing area of regular polygon is 100 feet and the cost to place a fence around the entire grazing area is $795.

According to the question,

You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surrounded by a fence, and in the shape of a regular polygon.

Within this grazing area, the length of the apothem must be 10 feet long.

The formula of the area of regular polygon = ap/2  

Where a is apothem and p is the perimeter.  

500 = 10 x p/2  

1,000 = 10 x p  

100 = p

Hence the perimeter of regular polygon the total grazing area is 100 feet.  

Now cost of fencing 1 foot = $7.59  

So, cost of fencing 100 feet = 7.59 x 100 = 759

Hence, the cost to place a fence around the entire grazing area of polygon is $795.

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Answer:

kbvhhjbvgivftivdtufyuffgi

Answer:

kinang sulat iyan 769pqpq

When the spoon is submerged, it will appear to make a different angle with the normal to the interface than when it was inserted.

This is due to the phenomenon of refraction, where light waves bend as they pass from one medium to another. The angle of refraction can be calculated using Snell's law. In this case, assuming the medium above the interface is air and the medium below is water, the angle of refraction will be approximately 42◦. Therefore, the spoon will appear to make a 42◦ angle with the normal to the interface when it is submerged.
When a spoon is inserted into water at a 60° angle with the normal to the interface, the angle at which it appears to the observer will be different due to the phenomenon of refraction. To find the apparent angle, you can use Snell's Law: n1 * sinθ1 = n2 * sinθ2, where n1 and n2 are the refractive indices of air and water, respectively, and θ1 and θ2 are the incident and refracted angles.
For air, n1 ≈ 1, and for water, n2 ≈ 1.33. With θ1 = 60°, you can calculate θ2:
sinθ2 = (n1 * sinθ1) / n2
θ2 = arcsin((1 * sin60°) / 1.33)
Solving for θ2 will give you the apparent angle of the submerged spoon with respect to the normal to the interface.

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Conjecture: The product of any three odd integers is always an odd integer.

To test this conjecture, we can consider different sets of three odd integers and calculate their product to see if it is always odd.

Example 1:

Let's take three odd integers: 3, 5, and 7.

Product = 3 * 5 * 7 = 105

105 is an odd integer, confirming the conjecture.

Therefore, based on these observations, we can conclude that the conjecture is true: the product of any three odd integers is always an odd integer.

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Answer:

Step-by-step explanation:

25h + 40 = −15h − 80

25h + 15h = -80 - 40

40h = - 120

h = -120/4

h= -3

Answer:

h = -3

Step-by-step explanation:

25h +40 = -15h -80

-----------------------------

40h = -120

h= -3

The total tax due is $45000.

It is required to find the total tax due.

Taxes are mandatory contributions levied on individuals or corporations by a government entity—whether local, regional, or national.

Given:

This made her total gross income= $140,000

Gross income =$95,000

According to given question we have

Total tax due=total gross income- Gross income

                     =$140,000-$95,000

                     =$45000

Therefore, the total tax due is $45000.

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The total gross income is $140,000  is missing.