5-4c-2-9c
evaluate the expression​

a=2cm. b=50cm. x=?

x=b:a. x=50:2. x=25

To find various values related to the vectors (u, v) and (kv, w), such as cos, ||v||, d(u, v), and ||u - kv||, within the range C[-1,1].

(i) To find cos, we need to compute the dot product of the vectors (u, v) and divide it by the product of their magnitudes.
(ii) To determine kv, we scale the vector v by a factor of k, and then calculate the dot product with w.
(c) Since C[-1,1], we can infer that the cosine of the angle between the two vectors is within the range [-1, 1].
(iii) Adding the vectors (u + v) results in a new vector.
(iv) The magnitude of vector v, denoted as ||v||, can be found using the Pythagorean theorem.
(v) The distance between vectors u and v, represented as d(u, v), can be calculated using the formula for the Euclidean distance.
(vi) To find the magnitude of vector u - kv, we subtract kv from u and compute its magnitude using the Pythagorean theorem.

The angle between the vectors f(x) = x + 1 and g(x) = x² can be determined by finding the angle between their corresponding direction vectors. The direction vector of f(x) is (1, 1), while the direction vector of g(x) is (1, 2x). By calculating the dot product of these vectors and dividing it by the product of their magnitudes, we can find the cosine of the angle.


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Answer:

3

Step-by-step explanation:

Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.

The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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Answer:

67.5cm^2

Step-by-step explanation:

area of a triangle is 0.5xaxb

answer : 54cm^2

pythagorus’ theorum : a^2 + b^2 = c^2

so 9^2 + x^2 = 15^2, x being the missing length

work out x ...

81 + x^2 = 225

x^2 = 144

x = 12

area of a triangle : 0.5 x base x height

so 0.5 x 9 x 12 = 54

the marginal propensity to expend is 0.8, indicating that for each additional dollar of income, 0.8 dollars will be spent.

The slope of the aggregate expenditures (AE) curve represents the change in AE per unit change in income. The marginal propensity to expend (MPE) is the fraction of each additional dollar of income that is spent, so it is related to the slope of the AE curve.

Given that the slope of the AE curve is 0.8, we can interpret it as follows:

MPE = slope of AE curve = 0.8

Therefore, the marginal propensity to expend is 0.8, indicating that for each additional dollar of income, 0.8 dollars will be spent.

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Answer:

13 degrees

Step-by-step explanation:

Triangles have to equal to 180 degrees

Answer:

\(180 = 154 + 13 + x\)

Step-by-step explanation:

180= 154° + 13° + X

X = 180° - 154°- 13°

X = 13°

The its an ISOCELES triangle

The triangles BCD, ACD, and ABC are similar because their corresponding angles are congruent. This similarity allows us to apply the Pythagorean theorem to establish the relationship between the sides of the right triangle, proving its validity.

To prove that triangles BCD, ACD, and ABC are similar, we need to compare their angle measures. Let's analyze the angles in each triangle:

Triangle ABC:

- Angle BAC: This is a right angle as it represents the right angle of the right triangle.

Triangle BCD:

- Angle BCD: This angle is also a right angle as the altitude from vertex C forms a perpendicular line with side BC.

- Angle CBD: This angle is congruent to angle BAC in triangle ABC. Both angles are corresponding angles and are congruent due to the definition of perpendicular lines.

Triangle ACD:

- Angle ACD: This angle is a right angle, formed by the altitude from vertex C intersecting side AD.

- Angle CAD: This angle is congruent to angle BAC in triangle ABC. They are corresponding angles and are congruent due to the definition of perpendicular lines.

Based on the analysis of the angles, we can conclude that triangles BCD and ACD are both right triangles and have congruent angles to triangle ABC. Therefore, by the Angle-Angle (AA) similarity postulate, we can say that triangles BCD and ACD are similar to triangle ABC.

The similarity of these triangles implies that their corresponding sides are proportional. In this case, we have the following corresponding sides:

BC : AC = BD : AD = CD : CD (which is equal to 1)

The proportionality of these sides allows us to apply the Pythagorean theorem to any of the triangles.

By the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In triangle ABC, we have:

\(AB^2 + BC^2 = AC^2\)

Since triangles BCD and ACD are similar to triangle ABC, we can use the same equation to represent the sides of these triangles:

\(BD^2 + CD^2 = BC^2\)

\(AD^2 + CD^2 = AC^2\)

Therefore, by proving the similarity of triangles BCD and ACD to triangle ABC, we have established the validity of the Pythagorean theorem within the context of the given right triangle ABC.

In conclusion, the three triangles BCD, ACD, and ABC are similar, and this similarity allows us to apply the Pythagorean theorem to establish the relationship between the sides of the right triangle. This proof demonstrates the validity of the Pythagorean theorem in the context of the given triangle.

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

Answer:

6

Step-by-step explanation:

270/45=6

Answer:

1 minute = 6 calories burned

Step-by-step explanation:

270 ÷ 45 = 6

If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.

The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.

To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.

Next, we can use the Poisson distribution formula, which is:

P(X = k) = (e^(-λ) * λ^k) / k!

where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).

Expected number of arrivals = λ * t = 5 * 0.75 = 3.75

Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.

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Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

The probability of event X or Y is P = 0.7, or, in percentage form, the probability is 70%.

First, two events are mutually exclusive if these events can't happen at the same time.

This means that if happens X, with a 30% of probability, then Y can't happen.

If happens Y, with a 40% of probability, then X can't happen.

Then the probability of X or Y (the probability that one of these two events happens, not both) is just the addition of the two individual probabilities.

Then we have:

P(X or Y) = 0.3 + 0.4 = 0.7

Or, in percent form, we get:

P(X or Y) = 70%

The probability of event X or Y is just 70%.

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The value are m = 2 and n = 5, and mn = 2 \cdot 5 = 10.

To simplify \sqrt[4]{400}, we can rewrite it as \sqrt[4]{16 \cdot 25}. This is because 400 can be factored into 16 \cdot 25. Taking the fourth root of each factor separately, we have \sqrt[4]{16} \cdot \sqrt[4]{25}.

\sqrt[4]{16} simplifies to 2, since2^4 = 16. \sqrt[4]{25} does not simplify further since there are no perfect fourth powers that can be multiplied together to give 25.

Therefore, the simplified form of \sqrt[4]{400} is 2\sqrt{25}. We can rewrite \sqrt{25} as 5, so the final simplified form is 2 \cdot 5.

Thus, the value of m = 2 and n = 5, and mn = 2 \cdot 5 = 10.

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Answer:

x=110.6

Step-by-step explanation:

sin(19)=36/x. x=36/sin(19)=110.6

The probability of rolling an even number or a multiple of 3 is 3/4.

Probability determines the odds that a random event would happen. The probability the event takes place is 1 and the probability that the event does not happen is 0.

An even number is a number that is perfectly divisible by 2.

Probability of rolling an even number = number of sides that are even / total number of sides

Sides that are even = 2, 4, 6

Probability of rolling an even number = 3/6 = 1 / 2

Probability of rolling a multiple of 3 = number of sides that are multiples of 3  / total number of sides

Sides that are multiples of 3 = 3, 6

Probability of rolling a multiple of 3 = 2/6 = 1/2

The probability of event B or C = 1/4 + 1/2 = 3/4

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Answer:

x-6>2x

Step-by-step explanation:

Is this what you were looking for?

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

A = -7.5   B = -17.5

Step-by-step explanation:

A + B = -25

A = B + 10

Plug the second equation into the first equation:

B + 10 + B = -25

2B = -35

B = -17.5

Plug that value into the first equation:

A - 17.5 = -25

A = -7.5

Answer:

64

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

All you have to do is plug in the numbers, it will look like this

(2(2)^2 * -1^3)^2

It looks weird but trust me

Ok so first you have to mutiply 2*2 whitch is 4

(4^2 * -1^3)^2

now what is the 1 with the exponet of 3? It will stay at -1

(4^2 * -1) ^2

what is 4^2? it is the same a 4*4

whitch is 16

(16-1)^2

16-1?

(15)^2, same thing as 15*15

whitch is 225

makingn 255 your answer

Answer:

it's 40 i just took the quiz

After solving for k, we substitute it in the equation \(C = 167 mg/e^(2.28k)\) to find the amount of caffeine in Deandre's body after 2.28 hours of consuming the energy drink.

The given information of the amount of caffeine in Deandre's body is 167 mg after consuming the energy drink for 1.28 hours.

The question is to find the amount of caffeine in Deandre's body after 2.28 hours of consuming the energy drink.

Mathematically, the rate of decay of caffeine in Deandre's body is proportional to the amount of caffeine in Deandre's body.

This can be mathematically written as: dC/dt = -kC

where C is the amount of caffeine in Deandre's body, t is the time taken, and k is the proportionality constant that relates to the rate of decay of caffeine in Deandre's body.

After solving the differential equation, we get:\(C = Ce^(-kt)\)

where C is the initial amount of caffeine in Deandre's body.

After substituting the given information in the above equation, we get:

\(C = 167 mg e^(-k * 1.28)\) mg

Using the information given in the problem, the equation can be simplified further:

\(C = 167 mg e^(-1.28k)\) mg

To find the value of k, we can use the information given in the problem.

\(C = Ce^(-kt)167\) mg

\(\(= C e^(-k * 1.28)\)\) mg

\(167 mg/e^(1.28k) = C\)

After 2.28 hours of consuming the energy drink, we need to find the amount of caffeine in Deandre's body.

This can be found by using the equation:\(C = Ce^(-kt)C = 167\)

\(mg e^(-k * 2.28)\) mg

\(C = 167 mg/e^(2.28k)\) mg

To solve for k, we use the equation derived above, i.e., 167 mg/e^(1.28k) = C.

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The two values of n are given as follows:

The reference point on the number line is given as follows:

-1.

The number that is 3 units left from the reference point of -1 is given as follows:

-1 - 3 = -4.

The number that is 3 units right from the reference point of -1 is given as follows:

-1 + 3 = 2.

Hence the two values of n are given as follows:

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These commands in MATLAB to obtain the desired plots of XL(w) and XC(w) over the given frequency range.

To obtain the plots of XL(w) and XC(w) using MATLAB, we can use the following steps:

1. Define the values of L, C, and R:

```matlab

L = 5e-3;  % inductance in Henrys

C = 1e-6;  % capacitance in Farads

R = 1052;  % resistance in Ohms

```

2. Define the range of frequencies:

```matlab

w = linspace(0, 700, 1000);  % frequency range from 0 to 700 rad/sec

```

3. Calculate the reactance of the inductor and capacitor:

```matlab

XL = w * L;                

XC = 1 ./ (w * C);        

```

4. Plot XL(w) vs. w:

```matlab

figure;

plot(w, XL);

xlabel('Frequency (rad/sec)');

ylabel('Inductive Reactance (ohms)');

title('Inductive Reactance vs. Frequency');

```

5. Plot XC(w) vs. w:

```matlab

figure;

plot(w, XC);

xlabel('Frequency (rad/sec)');

ylabel('Capacitive Reactance (ohms)');

title('Capacitive Reactance vs. Frequency');

```

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Answer:

12+3x (see the explanation)

Step-by-step explanation:

3(4+x)

3 x 4 = 12

3 x 1x = 3x

  {12+3x} or {3x+12}

To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.

1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%

3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:

a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.

b) Cool colors (G, B, I, or V): There are 4 cool colors.

c) The letter A: There is 1 A in "INDIANA."

Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700

Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:

a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.

b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.

c) Consonants in "INDIANA": There are 4 consonants.

Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500

Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)

3. Either chooses a number divisible by 7 or 8, any color, and a vowel:

a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.

b) Any color: There are 7 possible colors.

c) Vowels in "INDIANA": There are 3 vowels.

Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100

Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:

a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.

b) Blue or green colors: There are 2 possible colors (blue or green).

c) L or N in "INDIANA": There are 2 letters (L or N).

Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400

Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

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Answer: i think it is either A B C or D

Step-by-step explanation: So i know that there are 4 answers so that means one of the four answers are correct........ well i hope that one is correct

Answer:

Slope-intercept form is y = 5/6x + 14