Kiran has a toy car collection. He keeps some in a display case and the rest on the wall. 195 of his toy cars are on the wall, and 35% of his toy cars are in the display case. What is the total number of toy cars in Kiran's collection?

Answer:

(x, y ) → (x + 11, y - 11 )

Step-by-step explanation:

Consider the point U and its image U'

U (- 9, 1 ) → U' (2, - 10 )

This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and

- 10 - 1 = - 11 ↓ in the y- direction

This can be shown in the translation rule

(x, y ) → (x + 11, y - 11 )

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

The Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

What is Boolean expression?

A Boolean expression is an expression or equation that evaluates to true or false. It includes the use of logical operators such as AND, OR, and NOT, as well as comparison operators such as equal to (=), greater than (>), less than (<), and more.

The Boolean expression that is not equivalent to the expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

Let's break down each option and evaluate its equivalence to the given expression:

A. (num < 0) AND (num * -1 = 10)

This expression checks if "num" is negative and if the absolute value of "num" is equal to 10. It does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

B. (num < -10) OR (num = -10)

This expression checks if "num" is less than -10 or if "num" is exactly equal to -10. It also does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

C. (num * -1 > 10) OR (num = -10)

This expression checks if the negative value of "num" is greater than 10 or if "num" is exactly equal to -10. Although it involves the negative value of "num," it represents the condition "num * -1 > 10" when "num" is positive. Therefore, it is equivalent to the given expression.

D. NOT num * -1 < 10

This expression checks if the negative value of "num" is not less than 10. While it involves the negative value of "num," it does not directly represent the condition "num * -1 ≥ 10." Additionally, the use of "NOT" operator flips the condition, which makes it different from the original expression. Hence, it is not equivalent.

Therefore, the Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

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Answer: 11

Because if you minus 11 from both brown eyes and black hair your left with 8 from black hair and 3 from brown eyes

Answer:

Step-by-step explanation:

Since not provided, it is assumed that the spinner has 4 colors.

Probability of green is one out of four = 1/4

Probability of green out of 60 spins:

As spinner lands on green 10 times, then it is 5 times less than expected.

Answer:

The probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

When rolling four dice, each die can have six possible outcomes, ranging from 1 to 6. To find the probability of obtaining a sum of 18, we need to determine the number of favorable outcomes. In this case, we are interested in the three highest values summing up to 18.

To calculate this, we can use combinations. The three highest values that can result in a sum of 18 are 6, 6, and 6. We can choose these three values from the four dice in only one way. The remaining die can have any value from 1 to 6, giving us six possible outcomes.

Therefore, the number of favorable outcomes is 1, and the total number of possible outcomes is 6^4 (since each die has six possible outcomes and we are rolling four dice). Dividing the number of favorable outcomes by the total number of possible outcomes gives us the probability: 1/(6^4) ≈ 0.00077, or approximately 0.077%. Thus, the probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values is very low.

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The median number of 1 2 3 4 is 2.5

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

The number given is 1 2 3 4

We have to determine the median of the above number.

If the number of words is even, we must add two middle terms and divide the result by two. The median is what we obtain as a mean.

Substitute the value in above equation we get,

=(2+3)/2

Adding the two number we get,

=5/2

Now dividing 5 by 2 we get,

2.5

Median=2.5

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The figure described consists of two rectangles and a trapezoid. To find the area, we calculate the area of each shape and then add them together. The total area is 156.4 square feet.

To find the area of the figure, we first identify the different shapes within it: two rectangles and a trapezoid.

Rectangle 1: The dimensions given are 5 ft (width) and 8 ft (length). The area of a rectangle is calculated by multiplying the length and width, so the area of this rectangle is 5 ft * 8 ft = 40 square feet.

Trapezoid: The trapezoid has a top base of 8 ft, a bottom base of 12.4 ft, and a height of 6 ft. The formula for the area of a trapezoid is (1/2) * (sum of bases) * height. Substituting the given values, we have (1/2) * (8 ft + 12.4 ft) * 6 ft = 20.2 ft * 6 ft = 121.2 square feet.

Rectangle 2: The dimensions given are 12.4 ft (width) and 6 ft (length). Using the formula for the area of a rectangle, we find that the area of this rectangle is 12.4 ft * 6 ft = 74.4 square feet.

Finally, we add the areas of the individual shapes together: 40 square feet + 121.2 square feet + 74.4 square feet = 235.6 square feet. Therefore, the area of the figure is 235.6 square feet.

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Answer:

  about 2.43 seconds

Step-by-step explanation:

You want the time when the height described by h = -16t² +36t +7 is equal to zero.

The quadratic equation ...

  -16t² +36t +7 = 0

can be solved using the quadratic formula. It tells you the solution to ...

  ax² +bx +c = 0 is ...

  \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Then the solutions to the given quadratic are ...

  \(x = \dfrac{-36\pm\sqrt{36^2-4(-16)(7)}}{2(-16)}=\dfrac{9\pm\sqrt{109}}{8}\approx\{-0.180,2.430\}\)

The ball will hit the ground after about 2.43 seconds.

The sum of the series S is approximately 0.6137.

The given series S is an infinite series, and we need to find its sum. Let's analyze the pattern of the terms and identify the general form of each term:

The general term of the series can be written as\((-1)^{(n+1)} * [2 * (ln(2))^n / n!],\) where n is the term number starting from 0.

We can see that each term alternates in sign between positive and negative.

The numerator consists of powers of ln(2) raised to increasing exponents, while the denominator consists of the factorial of the term number.

To find the sum of the series, we can use the concept of the Taylor series expansion.

The given series is the Taylor series expansion of the function f(x) = 2 - 2ln(2), evaluated at x = ln(2).

The Taylor series expansion of f(x) centered at x = 0 is given by:

\(f(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ...\)

In this case, \(f(0) = 2, f'(0) = -2ln(2), f''(0) = 2(ln(2))^2/2!, f'''(0) = -2(ln(2))^3/3!,\) and so on.

Therefore, the sum of the series S is equal to the value of the function f(x) = 2 - 2ln(2) when x = ln(2).

Hence, the sum of the series S is:

S = 2 - 2ln(2)

The value of ln(2) is approximately 0.69314718056, so the sum of the series S is:

S ≈ 2 - 2 * 0.69314718056

S ≈ 2 - 1.38629436112

S ≈ 0.61370563888

Therefore, the sum of the series S is approximately 0.6137.

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By rational number algebra, the mixed number 3 5 / 11 is equivalent to the decimal expansion 3.\(\overline {45}\).

According to the statement, we find a mixed number, that is, a notation to represent rational numbers that combines both integers and fractions. The procedure to obtain the decimal form of a mixed number is:

Then, the decimal expansion of the mixed number 3 5 / 11 is:

3 5 / 11 = (3 · 11) / 11 + 5 / 11 = 33 / 11 + 5 / 11 = 38 / 11 = 3.\(\overline {45}\)

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Answer:

c

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

100% is full so you do 100%-20%=80% so thats the answer

Answer:

$6000.00

Step-by-step explanation:

1. Create an Equation

y/100x(20-10)=600

2. Solve

y/100x(20-10)=600

y/100x10=600

y/100x100x10=600x100

y x 10=60000

10y/10=60000/10

y=6000

3. Check

6000/100x(20-10)=600

60x(20-10)=600

60x10=600

600=600

Correct!

4. Answer

$6000.00

Answer:

90 degrees.

Step-by-step explanation:

They right ray point is on the 90 degree number and left ray is on zero so we find the difference.

90-0=90

so it measures 90 degrees.

Answer:

<ba=180 <bc=90

Step-by-step explanation:

The tendency to overestimate the extent to which others would notice their unusual T-shirt in the given experiment best illustrates the phenomenon known as the spotlight effect.

The spotlight effect refers to the tendency for individuals to believe that they are being noticed and evaluated by others more than they actually are. It is the feeling of being in the "spotlight" and assuming that others are paying more attention to one's appearance, behavior, or actions than they truly are.

In the experiment, participants wearing a Barry Manilow T-shirt may have felt self-conscious or believed that the shirt was highly noticeable to others. However, the spotlight effect suggests that their perception of others' attention and evaluation is exaggerated. In reality, people are often less observant and less concerned with the details of others' appearances or actions than individuals tend to think.

The spotlight effect can stem from a variety of factors, including self-consciousness, social anxiety, and the desire for social acceptance. It can influence how individuals present themselves, make choices, and interpret social situations.

Understanding the spotlight effect can help individuals recognize that their own perceived flaws or unique attributes are often not as noticeable or significant to others as they might think. This awareness can alleviate self-consciousness and promote a more accurate understanding of social interactions.

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Answer:

9l^5n-8l-3<15

Step-by-step explanation:

Answer:

she received 364.80 euros

Step-by-step explanation:

To find the scale factor, we just have to divide

The Second Fundamental Theorem of Calculus (FTC) relates the definite integral of a function f with its antiderivative F.

It states that if f is continuous on the interval [a,b], then the definite integral of f from a to b is equal to the difference between the antiderivative of f evaluated at b and a. In other words, the Second FTC tells us that integration is the reverse process of differentiation, and provides a method for evaluating definite integrals.

More specifically, the Second FTC states that if f is a continuous function on [a,b] and F is an antiderivative of f, then the definite integral of f from a to b is given by:

∫(from a to b) f(x) dx = F(b) - F(a)

This means that the definite integral of f can be computed by finding any antiderivative F of f and evaluating F(b) and F(a) at the limits of integration. The Second FTC is a powerful tool for evaluating definite integrals, especially when the integrand is difficult or impossible to integrate using standard techniques.

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Complete question:

what does the second FTC tell us about the relationship between a and f? write an equation to describe the relationship.

Answer:

equation

Step-by-step explanation:

Equations have equals signs, expressions do not

15x-10 is an expression

9+5 = 32 is an equation  ( it is a wrong equation)

Answer:

9

Step-by-step explanation:

20 / 5 = 4  36 / 4 = 9

Answer:

The answer is 4

Step-by-step explanation:

Answer:

$9.56

Step-by-step explanation:

$13.00 x .30 = 3.90

13.00 - 3.90 =  $9.10 x .05 = 0.46

$9.10 + 0.46 = 9.56

Answer:

x=3

Step-by-step explanation:

You subtract the 4 from +4 d +10 and then you left with 2x=6

Then you divide the numbers both by 2 so you are left with x=3.

Have a nice day!!!!!!!!!!

Answer:

x=3

Step-by-step explanation:

2x + 4 - 4 = 10 - 4

2x ÷ 2 = 6 ÷ 2

x = 3

Answer: Since Ray and Alice are headed towards each other, the distance between them will be decreasing at a rate equal to the sum of their speeds. We can use the formula:

time = distance / speed

Let's call the time it takes for Ray and Alice to meet "t". We know that the distance between them is 558 miles, and the sum of their speeds is:

30 mph + 32 mph = 62 mph

So, using the formula above, we can solve for "t":

t = 558 miles / 62 mph

t = 9 hours

Therefore, it will take 9 hours for Ray and Alice to meet if they both keep heading toward Dallas at their respective speeds.

Step-by-step explanation:

Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.