If two bumper cars traveling at the same speed and carrying the same amount of weight run into each other, they will bounce off and move an equal distance away from each other.

Number of chirps would you expect to hear when the temperature is 90 is 200 .

A function from a fixed X to a hard and fast Y assigns to each detail of X exactly one element of Y. The set X is known as the area of the feature and the set Y is known as the codomain of the characteristic.

Calculation:

f(T) = 4(T-40)

       = 4(90-40)

        = 4 × 50

        =  200

A feature is described as a relation between a fixed of inputs having one output each. In easy phrases, a feature is a courting among inputs in which each entry is related to precisely one output. each feature has a website and codomain or variety. A characteristic is commonly denoted by means of f(x) where x is the input.

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Step-by-step explanation:

so 4.93 I think and your welcome

Answer:

370.58

Step-by-step explanation:

Do 300+70+0.5+0.08

The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

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The cost for making the container if steel costs $2.95/m and aluminum costs $1.57/m is  $28. 27

Based on the information given, we have that;

We also have the following deductions;

The properties of a square prism include;

The cost for aluminum = 10($1.57)

Multiply the values by expanding the

The cost for aluminum = $10. 57

The cost for steel = 6($2.95)

Multiply through, we have;

The cost for steel = $17. 7

Total cost for the container = Cost of steel + cost of aluminum

Total cost for the container = $10. 57 +  $17. 7

Total cost for the container = $28. 27

Thus, the value of the cost is $28. 27

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Next, you’re going to research the author. Write down notes that target specific facts about Cisneros in the box below. Your notes should be helpful in understanding her biases, experiences, and knowledge. List three well-developed ideas as opposed to three simple facts in the light blue area of the box (that will be four ideas including my sample for an “A” grade). Be sure you are not copying and pasting from a website and that your words are your own. Cite your sources by putting the author’s last name or the title of the website if there is not an author. I have an example as a model.

Sandra Cisneros was born 1954 in Chicago, USA making her 49 years old, thus she was writing about the 1960-90’s. She writes all different styles of pieces most of which are for pre-teens and teens, but she also writes for adults. She has won a lot of different writing awards throughout her life (Cisnero).

Step-by-step explanation:

Answer:

23.56 length units

Step-by-step explanation:

To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.

To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).

Side 1: (3,-2), (5, -8)

difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)

Side 2: (5, -8), (-2,1)

difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)

Side 2: (-2,1), (3,-2)

difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)

Perimeter

= sum of sides

= sqrt(40)+sqrt(130)+sqrt(34)

= 6.32+11.40+5.83

= 23.56 approximately

The slope of a line is -2.

The slope of a line can be described as follows:

The slope of a line is a measure of its steepness

Slope = rise / run

slope = y₂ - y₁ / x₂ - x₁

using (0, -4)(-1, -2)

x₁ = 0

x₂ = -1

y₁ = -4

y₂ = -2

Therefore,

slope = -2 - (-4) / -1 - 0

slope = -2 + 4 / -1

slope = 2 / -1

slope = -2

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Answer:

11m+5n

Step-by-step explanation:

you just add the m and or n with the numbers

the pattern goes thus,

11

21

1211

111221

312211

13112221

1113213211

so the pattern that comes next is

1113213211

each successive number is formed by looking at the preceding number and reading out the digits, grouping like digits together and saying the number of identical digits followed by the digit

so,

1 1 is read as one one

the next is two one that's 21

then the next is one two one one thats 1211

then the next is one one one two two one thats 111221

then the next is three one two two one one that's 312211

then the next is one three one one two two two one that's 13112221

then the next is one one one three two one three two one one which is 1113213211 and its the final pattern

what you do is that you write down the way you pronounce it in the next term.

Shown that if f has no local minima nor local maxima on i, then f is either increasing or decreasing on i.

Since f has no local minima nor local maxima on i, it means that for any point x in i, either f is increasing or decreasing in a small interval around x. In other words, either f'(x) > 0 or f'(x) < 0 for all x in i.

Now suppose there exist two points a and b in i such that a < b and f(a) < f(b). We want to show that f is increasing on i.

Consider the interval [a,b]. By the Mean Value Theorem, there exists a point c in (a,b) such that f'(c) = (f(b) - f(a))/(b - a). Since f(a) < f(b), we have (f(b) - f(a))/(b - a) > 0, which implies f'(c) > 0. Since f'(x) > 0 for all x in i, it follows that f is increasing on [a,c] and on [c,b]. Therefore, f is increasing on i.

A similar argument can be made if f(a) > f(b), which would imply that f is decreasing on i.

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Answer:

An equation for each situation, in terms of x

A = 35 + 3x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

Step-by-step explanation:

Let A represent the amount Company A would charge if Piper drives x miles

Let B represent the amount Company B would charge if Piper drives x miles.

Company A charges an initial fee of $35 for the rental plus $3 per mile driven.

A= $35 + $3 × x

A = 35 + 3x

Company B charges an initial fee of $80 for the rental plus $2 per mile driven.

B = $80 + $2 × x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B.

= A < B

35 + 3x < 80 + 2x

3x - 2x < 80 - 35

x < 45 miles

That is: any number of miles driven below 45 miles makes Company A cheaper than Company B

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

The measure of the segment JK is 0 unit

A line is the shortest distance between two points

Given the following parameters

GJ = 70.2

JH = 26.5

GK = 70.2

Determine the measure of JK

JK = JG + GK

Since JG = -GJ then;

JK = -GJ + GK

JK = -70.2 + 70.2

JK = 0

Hence the measure of the segment JK is 0 unit

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Answer:

Yes they are equivalent.

Step-by-step explanation:

They each represent one half.

Answer:

A.5

B.16

C.11

D.3

E.5

Step-by-step explanation:

To solve the system we notice that both equations are solved for y, by equating them we have:

The last line is clearly a contradiction; therefore the system has no solutions and the answer is A.

Answer: 3

Step-by-step explanation:

By solving a linear equation, we can see that you should use 4lb of the $2.4/lb mix.

First, if you use x pounds of the $2.4/lb mix, the total mass of mixture that you will have is:

(x + 5lb).

And that mass must cost $1.5/lb, so the costs on the left side must be equivalent to the cost on the right side.

x*$2.4/lb + 5lb*($1.5/lb) = (x + 5lb)$1.9/lb

Now we need to solve this for x

x*$2.4/lb +  5lb*($1.5/lb) = x*$1.9/lb + 5lb*$1.9/lb

x*$2.4/lb - x*$1.9/lb  = 5lb*$1.9/lb -  5lb*($1.5/lb)

x*$0.5/lb = $2

x = $2/($0.5/lb) = 4lb

You should use 4lb of the $2.4/lb mix.

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The required equation of the line is 2x + 5y + 5 = 0

What is an equation?

Equations are used to describe geometric shapes in Cartesian geometry. Because the equations under consideration, such as implicit equations or parametric equations, contain an unlimited number of solutions, the goal has shifted: instead of directly stating the solutions or counting them, which is impossible, one utilizes equations to investigate the features of figures. This is the fundamental concept of algebraic geometry, a significant branch of mathematics. Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. Algorithms are used to solve equations from either family.

Given equation of the line is 2x + 5y = 10

or, 5y = -2x + 10

or, y = -2x/5 + 2

slope of the equation, m = -2/5

Since the lines are parallel, so the required equation of the line is

y-1 = (-2/5)(x+5)

or, 5(y-1) = -2(x+5)

or, 5y-5 = -2x-10

or, 2x + 5y + 5 = 0

Hence, the required equation of the line is 2x + 5y + 5 = 0

i.e. 2x + 5y = -5

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Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = \(\frac{1}{2}* \ base * \ height\)

                                 \(= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}\)

H = 20 ft

Volume = B * H

             = 30 * 20

             = 600 ft³

The lines given, based on the picture, can be said to be skew.

Skewed lines are two lines that are not parallel to one another, neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist in various planes. Two lines in a two-dimensional space can either intersect or run parallel to one another. Skew lines can never exist in 2D space as a result.

Skew lines occur frequently in real-world circumstances. Let's say there is a line on the ceiling and a line on the wall. These lines can be skew lines because they lie in distinct planes if they are not parallel to one another and do not meet. These lines go on forever in both directions.

The picture shows lines on steps. These steps therefore exist on different planes but are not parallel. They must therefore be skew.

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The truth values of the given statements in terms of q(x) are: q(0) is true, q(1) is false, q(-2) is false, and q(2) is true.

The statement q(x) is x² = 2x. Now, we will check the truth value of each statement in terms of q(x):

(i) q(0): \(0^2=2\times 0\)

   q(0): 0 = 0; so, the statement q(0) is true.

(ii) q(1): \(1^2=2\times 1\)

    q(1): 1 = 2; so, the statement q(1) is false.

(iii) q(-2): \((-2)^2=2\times (-2)\)

     q(-2): 4 = -4; so, the statement q(-2) is false.

(iv) q(2): \(2^2=2\times 2\)

     q(2): 4 = 4; so, the statement q(2) is true.

So, the truth values of the given statements in terms of q(x) are: q(0) is true, q(1) is false, q(-2) is false, and q(2) is true.

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Answer:

mark R as a 6

Step-by-step explanation:

Answer:

When, X=-4

y=17

X= - 3 with y =15

X= - 2 with y =13

X= - 1 with y =11

X=0 with y=9

X=1 with y=7

X=2 with y=5

X=3 with y=3

X=4 with y=1

As co-ordinate it'll be:

(-4,17)

(-3,15)

(-2,13)

(-1,11)

(0,9)

(1, 7)

(2,5)

(3,3)

(4,1)

Answer:

\(A=20 units^2\)

Step-by-step explanation:

I would separate out the shape into two equal right triangles over a square.  The total area can then be found by adding these areas together:

\(A_t=2A_\Delta +A_s\\A_t=2(\frac{1}{2}bh)+(s)^2\\b=2 units\\h=2units\\s=4units\\A_t=2[\frac{1}{2}(2units)(2units)]+(4units)^2\\A_t=4units^2+16units^2\\A_t=20units^2\)

This is the same as y = -0.5x+2

==========================================================

Explanation:

Refer to the diagram below.

The blue line is the graph of y = 2x+8, which is the left bank of the river.

For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.

The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.

Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.

So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.

This is the same as y = -0.5x + 2 since -1/2 = -0.5

The probability that exactly two of the sampled individuals have used a discount broker is approximately 0.2217 or 22.17%.

To calculate the probability of exactly two individuals in a random sample of nine having used a discount broker, we can use the binomial probability formula.

The binomial probability formula is given by:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)x^{2}\)

Where:

- P(X = k) is the probability of exactly k successes,

- n is the total number of trials (sample size),

- p is the probability of success on a single trial (probability of an individual investor using a discount broker), and

- (n choose k) represents the number of combinations of n items taken k at a time.

In this case, n = 9 (sample size) and p = 0.30 (probability of an individual investor using a discount broker).

\(P(X = 2) = (9 choose 2) * (0.30)^2 * (1 - 0.30)^(9 - 2)\)

Using the binomial coefficient formula (n choose k) = n! / (k! * (n - k)!) to calculate (9 choose 2), we can plug in the values:

\(P(X = 2) = (9 choose 2) * (0.30)^2 * (1 - 0.30)^(9 - 2)\)

\(P(X = 2) = (9! / (2! * 7!)) * (0.30)^2 * (0.70)^7\)

\(P(X = 2) = (36 / 2) * (0.30)^2 * (0.70)^7\)

P(X = 2) = 36 * 0.09 * 0.08235456

P(X = 2) ≈ 0.2217

Therefore, the probability that exactly two of the sampled individuals have used a discount broker is approximately 0.2217 or 22.17%.

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Answer:why is people deleting my answer?!???

Step-by-step explanation:what’s wrong with you guys -_-

Answer: A.

Step-by-step explanation:

Your change in y is +1120 and your change in x is +1

1120/1 = 1120, so she is at a constant speed/rate of 1120 per minute

Therefore, to make the game fair, you should earn a profit of $3 when you win.

To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.

In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)

Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:

0 = (0.25 * P) + (0.75 * (-1))

Simplifying the equation:

0 = 0.25P - 0.75

0.75 = 0.25P

P = 0.75 / 0.25

P = 3

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Answer:

Step-by-step explanation:

x = 6 hope this helps