C - x = r - d , for x

Answer:12

Step-by-step explanation:

-22+34=12

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

yes 5+5=10 any problem

The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.

Algebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.

From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.

the word difference in mathematics implies Subtraction (-)

Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.

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Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer: 3.5

Step-by-step explanation:

To find the length of the missing leg, we need to use the Pythagorean Theorem (a^2 + b^2 = c^2 where c is the hypotenuse)

1) Plug in numbers

2^2 + b^2 = 4^2

2) Square

4 + b^2 = 16

3) Flip Equation and Subtract

16 - 4 = b^2

16 - 4 = 12

4) Square Root of 12

The square root of 12 is ~3.46, so you need to round to the nearest tenth, which is 3.5

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:   (-13xy) + (-5xy) = -18xy

Step-by-step explanation:

well they are both negatives t=so they cant be subtracted from each other instead they are being added

13 + 5= 18

but remeber to add back the negative sign adn the variables

so its -18xy

Answer:

a =2 alternate angles

b=3 alternate angle

c=180 supplementary angle

d180 angle of a triangle

Answer:

g=-3

Step-by-step explanation:

-8g+6=30

-6

-8g=24/-8

Answer:

g = -3

Step-by-step explanation:

Answer:

592 hours

Step-by-step explanation:

Given

\(Area = 11000m^2\)

\(Radius = 0.10m/h\)

Required

Determine the time taken to cover the area

Since, the oil formed a circular pattern; the question will be answered using area of a circle

\(Area = \pi r^2\)

Let t represent the time take to cover 11000m²;

The relationship between these parameters is:

\(11000 = \pi * (0.10t)^2\)

Substitute 3.14 for π

\(11000 = 3.14 * (0.10t)^2\)

Divide both sides by 3.14

\(\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}\)

\(\frac{11000}{3.14} =(0.10t)^2\)

\(3503.18471338 = (0.10t)^2\)

Take square root of both sides

\(\sqrt{3503.18471338} = \sqrt{(0.10t)^2}\)

\(\sqrt{3503.18471338} = 0.10t\)

\(59.1877074516 = 0.10t\)

Divide both sides by 0.10

\(\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}\)

\(\frac{59.1877074516}{0.10} = t\)

\(591.877074516 = t\)

\(t = 591.877074516\)

\(t = 592\ hours\) (Approximated)

Hence, it'll take approximately 592 hours to cover the given area

Answer: B

592 hours

Step-by-step explanation:

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

Answer: The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given: \(T(d)\) is a function that relates the number of tickets sold for a movie to the number of days 'd' since the movie was released.

Also, the  average rate of change in T(d) for the interval d = 4 and d = 10 is 0.

Since the average rate determines the rate of change in the dependent variable (T(d)) with respect to the independent variable (d).

It means that there is no change from 4th day to 10th day in the number tickets sold.

Hence, the correct option is "The same number of tickets was sold on the fourth day and tenth day."

Answer:

A

Step-by-step explanation:

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

Step-by-step explanation:

375355

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)

Answer:

3209

Step-by-step explanation:

Answer5

Step-by-step explanation:

a. The population density of Monaco is 19,307 people per square kilometer.

b. The population density of Vatican City is 37 people per square kilometer.

c. The Vatican City has the highest population density

What is population density?

Population density is measured by dividing the total area of a region in question by the total number of people that live there.

a. To find the population density of Monaco, we need to divide the population by the area, and then convert acres to square kilometers (since Vatican City's area is given in square kilometers).

499 acres x 0.00404686 square kilometers/acre = 2.02 square kilometers

The population density of Monaco is therefore:

39,000 people / 2.02 square kilometers = 19,307 people per square kilometer.

Rounded to the nearest whole number, the population density of Monaco is 19,307 people per square kilometer.

b. To find the population density of Vatican City, we first need to convert its area to acres:

0.44 square kilometers x 247.105 acres/square kilometer = 108.7 acres

The population density of Vatican City is then:

1,000 people / 108.7 acres = 9.2 people per acre

To compare with Monaco's population density, we need to convert this to people per square kilometer:

9.2 people per acre x 0.00404686 square kilometers/acre = 37.3 people per square kilometer

Rounded to the nearest whole number, the population density of Vatican City is 37 people per square kilometer.

c. Therefore, Vatican City has the highest population density, with a density of 37 people per square kilometer compared to Monaco's density of 19,307 people per square kilometer.

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The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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Answer:

Option D) 400π cubic units.

Step-by-step explanation:

GIVEN :

TO FIND :

USING FORMULA :

\(\quad\star{\underline{\boxed{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}}\)

SOLUTION :

Substituting all the given values in the formula to find the volume of cylinder :

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{r}^{2}h}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(5)}^{2}16}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(5 \times 5)}16}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(25)} \times 16}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi \times 25\times 16}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi \times 400}}}\)

\(\quad{\sf{\dashrightarrow{V_{(Cylinder)} = 400 \pi}}}\)

\(\quad\star{\underline{\boxed{\sf{\pink{V_{(Cylinder)} = 400 \pi \: {units}^{3}}}}}}\)

Hence, the volume of cylinder is 400π cubic units.

Answer:

2/3

Step-by-step explanation:

Answer: 66.66%

Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66

The only triangle that is similar to triangle ABC is triangle RST.

In geometry, congruency refers to the property of having the same size and shape. When applied to triangles, congruency means that two triangles have exactly the same shape and size. More specifically, two triangles are said to be congruent if their corresponding sides and angles are equal.

There are several ways to show that two triangles are congruent, including:

Side-Side-Side (SSS): If the three sides of one triangle are equal in length to the three sides of another triangle, the two triangles are congruent.

Side-Angle-Side (SAS): If two sides and the included angle of one triangle are equal in length to two sides and the included angle of another triangle, the two triangles are congruent.

Angle-Side-Angle (ASA): If two angles and the included side of one triangle are equal in measure to two angles and the included side of another triangle, the two triangles are congruent.

Hypotenuse-Leg (HL): If the hypotenuse and one leg of a right triangle are equal in length to the hypotenuse and one leg of another right triangle, the two triangles are congruent.

When two triangles are congruent, they have the same shape and size, which means that they have exactly the same angles and side lengths. This property is useful in geometry, as it allows us to prove various geometric theorems and solve problems involving triangles.

To determine if two triangles are similar, we need to check if their corresponding angles are congruent and their corresponding sides are proportional.

Let's start by checking the angles. We can use the Law of Cosines to find the angles of triangle ABC:

∠A = cos⁻¹((18² + 19² - 20²)/(21819)) ≈ 26.57°

∠B = cos⁻¹((19² + 20² - 18²)/(21920)) ≈ 53.13°

∠C = cos⁻¹((20² + 18² - 19²)/(22018)) ≈ 100.3°

Next, we can find the angles of triangles RST and LMN. However, we do not need to calculate their exact values to determine if the triangles are similar, we only need to check if their corresponding angles are congruent.

Therefore, let's compare the corresponding angles of triangle ABC, triangle RST, and triangle LMN.

∠A in triangle ABC corresponds to ∠R in triangle RST and ∠L in triangle LMN.

∠B in triangle ABC corresponds to ∠S in triangle RST and ∠M in triangle LMN.

∠C in triangle ABC corresponds to ∠T in triangle RST and ∠N in triangle LMN.

If the corresponding angles are congruent, then we can move on to checking if the corresponding sides are proportional.

Let's check if the corresponding sides are proportional:

AB/RS = 20/40 = 1/2

BC/ST = 18/36 = 1/2

CA/TR = 19/38 ≈ 0.5

The ratios of the corresponding sides are all equal to 1/2, which means the corresponding sides of triangles ABC and RST are proportional.

LM/LN = 30/38 ≈ 0.789

MN/NT = 27/30 = 0.9

NL/LM = 38/30 ≈ 1.267

The ratios of the corresponding sides of triangles LMN and ABC are not proportional, which means triangle LMN is not similar to triangle ABC.

Therefore, the only triangle that is similar to triangle ABC is triangle RST.

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At least 3 decimal places, the probability that a person who tests positive actually has the disease is approximately 0.002482.

Bayes' relates the conditional probabilities of two events A and B as follows:

P(A | B) = P(B | A) × P(A) / P(B)

P(A) is the prior probability of A, P(B | A) is the conditional probability of B given A, P(B) is the marginal probability of B and P(A | B) is the conditional probability of A given B.

Let's define the following events:

D: the person has the disease

T: the person tests positive

We are interested in finding P(D | T) the probability that a person who tests positive actually has the disease.

We are given that:

P(D) = 0.009 (the incidence rate of the disease)

P(T | D') = 0.03 (the false positive rate, i.e., the probability of testing positive given that the person does not have the disease)

P(T' | D) = 0.06 (the false negative rate, i.e., the probability of testing negative given that the person has the disease)

We can compute the marginal probability of testing positive as follows:

P(T) = P(T | D) × P(D) + P(T | D') × P(D')

= (1 - P(T' | D)) × P(D) + P(T | D') × (1 - P(D))

Plugging in the given values, we get:

P(T) = (1 - 0.06) × 0.009 + 0.03 × (1 - 0.009)

≈ 0.0325

Now we can use Bayes' to compute P(D | T):

P(D | T) = P(T | D) × P(D) / P(T)

Plugging in the given values and the computed value of P(T), we get:

P(D | T) = (1 - P(T' | D)) × P(D) / P(T)

≈ (1 - 0.06) × 0.009 / 0.0325

≈ 0.002482

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An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks. The valid equivalence values of the student clears the exam is 29, 30, 31.

An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks.

The class will be as follows:

Class i: values<24 => invalid class

Class ii: 24 to 40  => valid class

Class iii: values> 40 => invalid class

We need to identify valid equivalence values. Valid equivalence values will be there in a valid equivalence class. All the values should be in class ii.

Therefore, the answer is 29, 30, 31.

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