a car travels a distance of 150 km in a time of 3 hours. What is the car's average speed?

The given exponential function equation is A = P(1+r)t, where P represents the principal amount, A represents the final amount, r represents the annual interest rate, and t represents the time in years.a.

The independent variable is t (time in years) while the dependent variable is A (final amount).b. The growth factor can be obtained by dividing A by P. Therefore, Growth factor = A/PLet us assume P=100, r=20%, and t=1. Then we can find A as follows:A = P(1+r)tA = 100(1+0.2)1A = 100(1.2)A = 120Therefore, the growth factor is:A/P = 120/100 = 1.2If we assume P=150, r=5%, and t=2, thenA = P(1+r)t = 150(1+0.05)2= 150(1.1025)= 165.375The growth factor is:A/P = 165.375/150 = 1.1025

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Student is wrong  An exterior angle of a triangle can be adjacent to the right angle of a right triangle, so an exterior angle can be a right angle.

The Exterior Angle is the angle between any side of a shape, and a line extended from the next side.

The student make an error he states that the exterior angle of a triangle can never be a right angle.

The correct answer will be option D that is An exterior angle of a triangle can be adjacent to the right angle of a right triangle, so an exterior angle can be a right angle.I have also attached the diagram of the triangle for better understanding.

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Answer:

(2,3)=(-2,-1,5)

Step-by step explanation:

Answer:

6. J(-1, 3), K(3, 1), L(2, 5)

7. J(4, 0), K(0, -2), L(1, 2)

Step-by-step explanation:

Do simple arithmetic for the translations.

For the reflections, use a graphing calculator.

Answer:

x = 10

Step-by-step explanation:

50 + 4x = 90

4x = 40

x=10

Answer:

X is equal to 121

Step-by-step explanation:

the answer is 121°

Answer:

$3.50

Step-by-step explanation:

4 2/3 x 0.75 = $3.50

Answer:$3.5

Step-by-step explanation:

The joint probability that a randomly selected customer chose Dish A and enjoyed it can be calculated using the given information. The calculated probability is 0.464.

To calculate the joint probability, we can use the concept of conditional probability. Let's denote the events as follows:

A: Customer chooses Dish A

B: Customer enjoys the chosen dish

We are given the following probabilities:

P(A) = 0.71 (71% chose Dish A)

P(B|A) = 0.65 (65% enjoyed Dish A)

To calculate the joint probability, we multiply the probability of choosing Dish A by the probability of enjoying it:

P(A and B) = P(A) * P(B|A)

Substituting the values, we have:

P(A and B) = 0.71 * 0.65 = 0.4615

Rounding to three decimal places, the joint probability is approximately 0.464.

Therefore, the joint probability that a randomly selected customer chose Dish A and enjoyed it is 0.464 or approximately 0.464.

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Answer: 28

Step-by-step explanation:

28 is thhe missing number

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Answer:

92

Step-by-step explanation:

79+13=92

Answer: 79+13=92

The Chicago Bulls scored 92 points.

Hope this helped!

can i plz have brainliest?

The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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Answer:

  3/7

Step-by-step explanation:

Write the division of the pizzas as a ratio, and you will have it.

  (3 pizzas)/(7 persons) = (3/7) pizza/person

__

Each person gets 3/7 of a pizza.

9(5 - y)

EXPLANATION

Difference means subtraction.

This implies that the difference of 5 and y can be expressed as 5 - y.

Hence, nine times the difference of 5 and y can be represented as:

9(5 - y)

Answer:

Step-by-step explanation:

Pls give brainlest if right.

10/20-3/6 ?

Answer: 15 used video games

Step-by-step explanation:

298.50 / 19.90 = 15

Answer:

15

Step-by-step explanation:

To solve this let the unknown number of video games be x.

Let us solve.

Number of video game                               cost

    1                                     ⇒                    $ 19.90

    x                                     ⇒                   $ 298.50

Now use cross multiplication and find the value of x.

19.90x = 298.50 × 1

19.90x = 298.50

Divide both sides by 19.90.

x = 15

Therefore, they have sold 15 video games

Hope this helps you :-)

Let me know if you have any other questions :-)

Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.

Consider a standard normal random variable z. If the area to the right of z is 0.3336, the value of z can be found using the standard normal distribution table. The standard normal distribution table gives the area to the left of a given z-score. Since we are given the area to the right of z, we subtract 0.3336 from 1 to get the area to the left of z. This gives us an area of 0.6664 to the left of z on the standard normal distribution table. The closest value of z that corresponds to this area is 0.43. Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43. The value of z, when the area to the right of z is 0.3336, is approximately 0.43.

Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.

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Answer:

1 hour or 60 minutes.

Answer:

[see below]

Step-by-step explanation:

In a group of 75 fourth graders, 21% do not like Skittles.

This means that 79% of people do like Skittles.

75 * .79 = 59.25 ≈ 59

59 students should like skittles.

Hope this helps.

Answer: 33

Step-by-step explanation:

The correct answer is: (b) Population = all of the shoppers at this mall

Sample = the number of people 25 years old or younger

In this experiment, the population refers to the entire group of shoppers at the mall. The objective is to estimate the proportion of shoppers who are 25 years old or younger in the entire mall population.

The sample is the specific group of 300 shoppers who were randomly selected from the mall population, and the researchers recorded the number of individuals who are 25 years old or less in this sample.

So, the population represents the larger group of interest (all shoppers at the mall), while the sample refers to the subset of the population (the 300 shoppers) from which data was collected to make inferences about the proportion of shoppers aged 25 or younger in the entire mall population.

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x (x - 1) (x + 1) = \(x^{3}\)- x

Distribute

1. (x + 1) \(x^{2}\) - x (x + 1) = \(x^{3}\) - x

2. Distribute

   (x + 1) \(x^{2}\) - x (x + 1) = \(x^{3}\) - x

    \(x^{3 }\) + 1 \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x

3. Multiply by 1

   \(x^{3 }\) + 1 \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x

   \(x^{3 }\) + \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x

4. Distribute

  \(x^{3 }\) + \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x

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

5. Distribute

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

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

6. Combine like terms

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

   \(x^{3 }\) - x = \(x^{3 }\) - x

7. Move terms to the left side

   \(x^{3 }\) - x = \(x^{3 }\) - x

  \(x^{3 }\) - x - (\(x^{3 }\) - x) = 0

8. Distribute

 \(x^{3 }\) - x - (\(x^{3 }\) - x) = 0

 \(x^{3 }\) - x - \(x^{3 }\) + x = 0

9. Combine like terms

  \(x^{3 }\) - x - \(x^{3 }\) + x = 0

   - x + x = 0

10. Combine like terms

    - x + x = 0

     0 = 0

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Answer:

-12

Step-by-step explanation:

10-22=-12

enteric shop is 92.28 before

The approximate volume of the larger candle is 244 cubic centimeters.

To find the volume of the larger candle, we need to compare the side lengths of the smaller and larger candles. Let's denote the side length of the smaller candle as "s."

According to the information given, the side length of the larger candle is five-fourths (5/4) as long as the side length of the smaller candle. Therefore, the side length of the larger candle can be calculated as (5/4) * s.

The volume of a square pyramid is given by the formula V = (1/3) * s^2 * h, where s is the side length of the base and h is the height.

Since both the smaller and larger candles have the same shape, their volume ratios will be equal to the ratios of their side lengths cubed.

Let's substitute the values into the volume ratio equation:

(125 / V_larger) = (s_larger / s_smaller)^3

Given that V_smaller = 125 cubic centimeters, we can rewrite the equation as:

(125 / V_larger) = ((5/4) * s_smaller / s_smaller)^3

Simplifying the equation:

(125 / V_larger) = (5/4)^3

Calculating (5/4)^3:

(125 / V_larger) = (125 / 64)

Cross-multiplying the equation:

125 * 64 = V_larger * 125

Solving for V_larger:

V_larger = (125 * 64) / 125

Approximating the value:

V_larger ≈ 64 cubic centimeters

The approximate volume of the larger candle is 244 cubic centimeters, rounded to the nearest cubic centimeter

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Answer:

A is the answer

Step-by-step explanation:

The answer is A like he said above

The number line representing the above situation is attached accordingly. Note that the function graphed is: t < 13, where "t" is the time taken by a runner to complete the 100-meter race.

A number line is a visual representation of numbers placed in order on a straight line. It is used to perform various mathematical operations.

In the above condition, Let's use the variable "t" to represent the time taken by a runner to complete the 100-meter race.

According to the track coach's requirement, a runner needs to be able to run 100 m in less than 13 s. This can be represented algebraically as:

t < 13

In other words, the time "t" taken by a runner to complete the 100-m race should be less than 13 seconds for them to be considered for the race.

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The new dimensions of the box are 5 feet, 4 feet, and 6 feet.

Given:

A rectangular box has dimensions of 4 feet by 3 feet by 5 feet.

So, Length = 4 feet ,width = 3 feet and height = 5 feet.

Volume of rectangular box = length × width × height

                                             = 4 × 3 × 5 = 60 feet³

Now, increasing each dimension by the same amount yields a new box.

Let the increase in dimension be x feet.

The dimensions of the new box are,

Length = (4 + x) feet ,width = (3 + x) feet and height = (5 + x) feet.

Volume of new box = length × width × height

                                 = (4 + x) (3 + x) (5 + x)

It is given that the volume of the new box is twice the volume of the old box, 2 × 60 feet³ = 120 feet³

So, equate the volume to find the value of x.

(4 + x) (3 + x) (5 + x) = 120    

(12 + 7x + x²) (5 + x) = 120

60 + 12x + 35x + 7x² + 5x² + x³ = 120

60 + 47x + 12x² + x³ = 120

x³ + 12x² + 47x - 60 = 0  

x = 1

Hence each dimension was increased by 1 foot.

The new dimensions of the box are 5 feet, 4 feet, and 6 feet.

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Answer:

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

Let Anita be x now.

Her mother is 5 times older and in two years time she will be 5x + 2.

Rita is half the age of Anita and in two years time she will be (x/2) + 2.

The sum of ages after two years will be 58:

Anita is 8 years old.

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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