Evaluate the function.
Evaluate the function f(x) = –x^2+10x-2 find f(-5)

Answer:

Step-by-step explanation:       (9=4-38-838,256=2-60^7

According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.

The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.

To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.

Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)

So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.

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The statement that gives a unit rate is "for every day, Trey's cat ate 1.5 cups". So correct answer is option B).

This statement represents the amount of cat food consumed per unit of time, which is 1.5 cups per day. A unit rate is a comparison of two measurements in which one of the numbers is 1, making it easier to compare different rates. So, the correct option is B).

In this case, the unit rate would be 1.5 cups per day. Option A and C are not unit rates because they express the amount of cat food consumed over a varying number of days, while option D is not a unit rate because it expresses the amount of cat food consumed in a fractional amount of a day.

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Answer:

b translation

Step-by-step explanation:

Dilation means that it gets bigger or smaller

translation means a shift

reflections means that it flips across a line of symmetry

rotation means that it rotates across a point

We shifted the figure down and to the right.  It appears to be the same size and shape

I would go with a translation

Answer:

pythagorean theorem

18

Step-by-step explanation:

Answer:

  less

Step-by-step explanation:

We can answer the question about relative sizes of a square and a circle by finding the area of each.

__

The area of the square is ...

  A = s²

  A = (2 in)² = 4 in²

The area of the circle is ...

  A = πr²

  A = π(1.2 in)² = 1.44π in² ≈ 4.524 in²

The area of the square is less than the area of the circle.

_____

Additional comment

The area of a circle is π/4 times the area of the square in which it is inscribed. If the diameter of the circle is 1.2 times the side length of the square, its area ratio to the square will be (1.2²)(π/4) = 0.36π ≈ 1.13. That is, the circle is larger and the square is smaller.

Answer:

12000

Step-by-step explanation:

sqrt144*1000000= sqrt144*sqrt10^6= 12*10^3=12000

(a) Alice is currently facing South.

(b) The order of the laptops from left to right is: Black, White, Mac, Toshiba, Asus.

(c) The value of two peaches, a lemon, and a grape is 5.

(d) The value of two peaches with a lemon divided by a lemon with a grape is 2.

(a) Alice's movements can be visualized as follows:

Therefore, Alice is currently facing South.

(b) Let's analyze the given information about the laptops:

Black, White, Mac, Toshiba, Asus.

(c) In the given counting system:

Grape = 1

Lemon = 6 (represented by 1 lemon and 2 grapes)

Peach = 2 (since a lemon is worth half a peach)

So, two peaches, a lemon, and a grape can be calculated as:

2 * 2 + 1 * 6 + 1 * 1 = 5

Therefore, the value is 5.

(d) The value of two peaches with a lemon divided by a lemon with a grape can be calculated as:

(2 * 2 + 1 * 6) / (1 * 6 + 1 * 1) = 10 / 7

Therefore, the value is 10/7.

In summary, Alice is currently facing South. The order of the laptops from left to right is Black, White, Mac, Toshiba, Asus. The value of two peaches, a lemon, and a grape is 5. The value of two peaches with a lemon divided by a lemon with a grape is 10/7.

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The probability the friend finds no one in the first spot is 60%.

Probability is the chance or likelihood that an expected event occurs when there are many possible outcomes or events.

For instance, the probability that when the counting friend goes to the hiding spot, they can or cannot find a friend there.

The two friends can only hide in 2 spots, leaving 3 spots with nobody.

The number of hiding spots = 5

The number of friends hiding = 2

The number of counting friends = 1

The number of spots they can hide = 2 out of 5

The probability of finding a person in a hiding spot = 2/5 or 40%

The probability of not finding a person in a hiding spot = 3/5 (1 - 2/5) or 60% (1 - 40%).

The chances that your friend finds anyone in the first spot are 60%.

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The code initializes the variable `count` to 0. Then, it enters a while loop that continues as long as `count` is less than 11. The value printed by the code is: 1

The value printed by the code is:

1

2

3

4

5

6

7

8

9

10

11

The code initializes the variable `count` to 0. Then, it enters a while loop that continues as long as `count` is less than 11. Inside the loop, `count` is incremented by 1, and then the current value of `count` is printed. This process repeats until `count` reaches 11.
Therefore, the numbers from 1 to 11 (inclusive) are printed.

The value printed by the code is:

1

In the second code, after initializing `count` to 0, the if statement checks if `count` is less than 11. Since the condition is true (`count` is 0), the code enters the if block. Inside the block, `count` is incremented by 1 and then printed. After executing the if block once, the code exits, and only the value 1 is printed.

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The complete question is:

What value is printed by the code below? count = 0 while count < 11: count = count + 1 print(count) What value is printed by the code below? count = 0 if count < 11: count = count + 1 print(count)?

Answer:

1 and 2 is adjacent. 1 and 3 are vertical. 3 and 4 are adjacent. 2 and 4 are vertical angles.

Angles ∠1 and ∠2 as well as angles ∠3 and ∠4 are linear and supplementary angles. And angles ∠2 and ∠4 as well as ∠1 and ∠3 are vertically opposite angles.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

Angles ∠1 and ∠2 are linear and supplementary angles.

Angles ∠1 and ∠3 are vertically opposite angles.

Angles ∠3 and ∠4 are linear and supplementary angles.

Angles ∠2 and ∠4 are vertically opposite angles.

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Answer:

\(\frac{2}{a}\)

Step-by-step explanation:

Given

\(\frac{6-12b}{3a-6ab}\) ← factor both numerator and denominator

= \(\frac{6(1-2b)}{3a(1-2b)}\) ← cancel common factor (1 - 2b) on numerator/denominator

= \(\frac{6}{3a}\) ← cancel 6 and 3 by 3

= \(\frac{2}{a}\)

Solving a linear equation, we can see that you will make $600 after 6.7 weeks.

We know that you work 3 days per week, and 3 hours per day.

So per week, you work a total of 3*3 = 9 hours.

And we know that you make $10 per hour, then after x weeks, the amount that you earn is:

f(x) = $10*9*x

f(x) = $90x

Now we need to solve the linear equation:

$600 = $90x

Solving that equation for the variable x, the number of weeks, we will get:

$600/$90 = x

6.7 = x

After 6.7 weeks.

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Answer:

20x + 5 < 30

Step-by-step explanation:

To make a profit, the price on supplies must be less than the amount at which they sold their wares

Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25

So now, we need the smallest price at which they will sell per lemonade to make a profit

Mathematically, that will be;

20x + 5 > 30

Using this inequality X they will know the value of x that will give them profit

An equation of this line in slope intercept form is y = -1/6(x) - 5.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-5 - 0)/(0 - (-30)

Slope (m) = -5/30

Slope (m) = -1/6

At data point (0, -5), a linear equation in slope-intercept form for this line can be calculated as follows:

y = mx + c

y = -1/6(x) + (-5)

y = -1/6(x) - 5

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The equivalent expression to -4x² + 2x - 5(1 + x) is given as follows:

-4x² - 3x - 5.

The expression for this problem is defined as follows:

-4x² + 2x - 5(1 + x)

To obtain the equivalent expression, we apply the distributive property to -5(1 + x) as follows:

-5(1 + x) = -5 - 5x.

Then the expression is given as follows:

-4x² + 2x - 5 - 5x.

Combining the like terms, we have that the expression is given as follows:

-4x² - 3x - 5.

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Answer:

I think its wrong. For g(5)=(5/5)^2=1 and in your graph is something close to 3. The correct graph for \(g(x)=(\frac{1}{5}x)^2\) is

Answer:

False

Step-by-step explanation:

Took the test and this is what I got

Answer:

Your answer is: \(6+3i\)

Simplify by combining the real and imaginary parts of each expression.

Step-by-step explanation:

Hope this helped : )

Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Answer:

_89,726

Step-by-step explanation:

This would be a negative answer in less you mean 100,000 - 10,274.

This would be negative because 10,000 per say can't subtract 100,000 in less it goes on the negative side.

But if you meant 100,0000-10,274 it is the same answer just with no nefative sign

Hope this heos have a great day

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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Answer:

Step-by-step explanation:

at the end of;                Karabo                         John

1st hour                           80km                          0km(bcause he hasn't started)

2nd hour                       160 km                         100km

3rd hour                        240 km                         200km

4th hour                        300 km                         300km

now I'm not sure whether we should consider the time period after the starting time of karabo, or that of John (they have a gap of one hour u know..)

so, from the starting time of karabo, it takes 4 hours, and from the starting time of John it's 3hours. (Because John started 1 hour later)

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

To prove that AC ⊕ EC, we need to show that quadrilateral DEFG being a rectangle and BC ⊕ DC implies that AC ⊕ EC.

To begin, we know that quadrilateral DEFG is a rectangle. In a rectangle, opposite sides are equal in length and parallel to each other.

Given that BC ⊕ DC, we can infer that BC and DC are not equal in length.

Since DEFG is a rectangle, this means that AB and DE are also not equal in length, as they are opposite sides. Similarly, AD and BC are not equal in length.

Now, let's consider triangle ABC. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Applying this to triangle ABC, we have:

AB + BC > AC
AD + DC > AC

Since AB and DC are not equal in length, and BC and AD are not equal in length, we can conclude that AC is the longest side in triangle ABC.

Now, let's look at triangle CDE. Again, using the same rule for triangles:

AC + CE > EC
AD + DE > EC

Since AC is the longest side in triangle ABC, and AD is not equal in length to DE, we can conclude that AC is longer than EC.

Therefore, we have proved that if quadrilateral DEFG is a rectangle and BC ⊕ DC, then AC ⊕ EC.

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Answer:

24/46 = 0.52173913

8/15 = 0.53333333

42/90 = 0.46666666

5/9 = 0.55555555

answer is 8/15

Answer:

to get your answer you have to. Then after that, and finally