Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, is steady for a while, and then goes down over time.

A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, is steady for a while, and then goes up over time.

A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, goes down for a while, and then is steady over time.

A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, goes up for a while, and then is steady over time.

The measure of angle CBQ as required in the task content can be determined as; 150°.

It follows from the task content that the measure of angle CBQ is to be determined.

Since, ABCDEF is a regular hexagon and ABQP is a square, it follows from diagrammatic representation that the angle CBQ is the sum of the exterior angle of the polygon at point B and the right angle.

On this note, the measure of angle CBQ as required is; = 90° + 60° = 150°.

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Answer:

$44.52 is the total bill, d = 11.13 × 4

Option B) 17

A simple kind of data visualization known as a "dot plot" involves the representation of data points as dots on a graph with x and y axes. Sai has 17 albums in his collection altogether.

Given data;

6 = 0; 7 = 1 ; 8 = 2; 9 = 2; 10 = 4; 11 = 1; 12 = 2; 13 = 2; 14 = 1; 15 = 0; 16 = 2

\(= 1+2+2+4+1+2+2+1+2\)

\(=17\)

The total number of albums in Sai collection is 17

A basic style of data visualization called a dot plot, often referred to as a strip plot or dot chart, shows data points as dots on a graph with x and y axes. The purpose of these graphs is to visually portray particular data patterns or groups.

Each dot in the provided dot plot represents an album. As a result, the total number of dots in the dot plot equals the total number of albums in Sai's collection.

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Answer:

$0.65

Step-by-step explanation:

The cereal ($3.68) + the milk ($3.53) + the bread ($2.14) costs a total of $9.35.  If Samantha gave the clerk $10.00, she'd receive 65 cents back.

$10.00 - ($3.68 + $3.53 + $2.14) = $0.65

The required, simplified expression is 2x - 6y(2a - x) + 6y.

To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.

2x - 6y(2a - x) + 6y.

Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:

2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
                           = 2x - 6y(2a - x) + 6y

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In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

Since, We know that;

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.

Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.

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Answer:

96

Step-by-step explanation:

12 colors times 2 possibilities of with or without air conditioning is 24.

24 times two possibilities of with or without automatic transmission is 48.

48 times two possibilities of with or power windows is 96.

96 times two possibilities of with or CD player is 192.

Answer:

x y

2 8

3 12

5 60

7 28

Step-by-step explanation:

5 x 12 = 60

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

316.1 ft

Explanation:

Let's sketch the diagram as seen below;

From the above diagram, we can go ahead and determine the length of the opposite side(x) to angle 56 degrees in the upper triangle as seen below;

We can also go ahead and determine the length of the opposite side(y) to angle 32 degrees in the lower triangle as seen below;

Therefore, the height(h) of the building will be;

So the neighboring building is 316.1 ft tall.

Answer:

321489

Step-by-step explanation:

Answer:

helloooooo

what supppppppppppp

9514 1404 393

Answer:

  ∠G = 18°

Step-by-step explanation:

Complementary angles total 90°. The measure of G is ...

  ∠G = 90° -72° = 18°

Answer: x = -3 or if not solving for x then -2x -6

Step-by-step explanation:

1 - 2x - 7 = 0

-6 - 2x = 0

add 2x on both sides

-6 = 2x

divide 2 on both sides

-6/2 = x

x = -3

The solution of the given equation is y = (6x - 11)/4.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that equation as

⇒ 6x - 4y = 11

We have to determine the solution for y.

⇒ 6x - 4y = 11

Rearrange the terms of the above equation and solve for y,

⇒ 4y = 6x - 11

Divided by 4 on both the side of the equation, we get

⇒ y = (6x - 11)/4

Hence, the solution of the given equation is y = (6x - 11)/4.

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Answer:759

Step-by-step explanation:

Answer:

41 1/4 turns

Step-by-step explanation:

create a proportion:

turns / inches = turns / inches

't' = turns

16.5 / 1 = t / 2.5

cross-multiply to get:

t = 41.25 or 41 1/4

Answer:

The equation is found to be: \(y = 50.6e^{0.16x}\)

y(20) = 1241.34

Step-by-step explanation:

The given data is:

x:   3          7         11        14          17

y: 83      142      301     450      722

Now, we find sum summation values, relevant to the formula of exponential regression model, using calculator:

∑ ln y = 27.77305, ∑x ln y = 308.1494, ∑x = 52, ∑ x² = 664

and, n = no. of data points = 5

Now, we use formulae of exponential regression model to find out values of constant:

b = (n∑x lny - ∑x ∑ln y)/[n∑x² - (∑x)²]

b = [(5)(308.1494) - (52)(27.77305)]/[(5)(664) - (52)²]

b = 0.16

Now, for a;

a = (∑ln y - b∑x)/n

Therefore,

a = [(27.77305) - (0.16)(52)]/5

a = 3.9

For, α:

α = e^a = e^3.9

α = 50.6

So, the final equation of exponential regression model is given as:

\(y = \alpha e^{bx}\\ y = 50.6e^{0.16x}\)

Now, we find value of y for x = 20:

y(20) = (50.6) e^(0.16*20)

y(20) = 1241.34

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

It has the most x's (rolls) compared to the other numbers rolled.

Answer:

B) $85,167

Step-by-step explanation:

u got discount 45% so u just have to pay 55% of it

cost = 55% x $154,85 = $85,1675

The probability that all three letters selected are vowels given that at least one letter is a vowel is approximately 0.004, or 0.4%.

To solve this problem, we can use Bayes' theorem, which states:

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

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

In this case, let A be the event that all three letters are vowels, and let B be the event that at least one letter is a vowel. We want to find P(A|B), the probability that all three letters are vowels given that at least one letter is a vowel.

We can first find P(B), the prior probability of at least one letter being a vowel. This is equal to 1 minus the probability that no letters are vowels:

P(B) = 1 - (21/26)^3 ≈ 0.657

Next, we can find P(A), the prior probability of all three letters being vowels. Since there are 5 vowels and 26 letters total, the probability of selecting a vowel is 5/26. We need to select three vowels in a row, so we can use the multiplication rule:

P(A) = (5/26) * (4/25) * (3/24) = 1/260

Finally, we can find P(B|A), the conditional probability of at least one letter being a vowel given that all three letters are vowels. Since all three letters are vowels, we know that at least one letter is a vowel. Therefore, P(B|A) = 1.

Putting it all together, we have:

P(A|B) = P(B|A) * P(A) / P(B) = 1 * (1/260) / 0.657 ≈ 0.004

Therefore, the probability that all three letters selected are vowels given that at least one letter is a vowel is approximately 0.004, or 0.4%.

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Answer:

0.48

Step-by-step explanation:

The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..

A vending machine automatically pours soft drinks into cups.

The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.

Examine figure 7.- and answer the following questions.

a) estimate the probability that the machine will overflow an 8oz cup.

Procedure:

Determine the z-score for 8

z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1

P(x>8) = P(z>1) = 0.1587..

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

b) Estimate the probability that the machine will not overflow an 8oz cup.

P(z<1) = 1 - 0.1587 = 0.8413..

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

c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..; Rounded down you get 134 cups

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Answer:

A.

Step-by-step explanation:

x-2y=4 has a x-intercept of 4, a slope of 1/2, and a y-intercept of -2. 2x+y=4 has a x-intercept of -2, a slope of 2, and a y-intercept of -4.

Answer:

Slope=-4/-3

Step-by-step explanation:

x1=7, x2=4, y1=5, y2=1

m=y2-y1/x2-x1

m=1-5/4-7

m=-4/-3

The restrictions on the width is that it must be between 14.1 yards and 17.3 yards

From the question, we have the following parameters that can be used in our computation:

Area = between 240 yd² and 360 yd²

Also, we have

Length = 1.2 times the width

This means that

l = 1.2w

The area is then calculated as

Area = lw

So, we have

Area = 1.2w²

This means that

240 < 1.2w² < 360

Divide through by 1.2

200 < w² < 300

Take the square roots

14.14 < w < 17.32

Approximate

14.1 < w < 17.3

Hence, the width must be between 14.1 yards and 17.3 yards

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The pairs of linear equations that are parallel are:

2 and 4.

Two linear equations:

y = a*x + b

y = c*x + d

Are parallel if the two slopes are equal and the y-intercepts are different, then:

a = c

b ≠ d

Let's write all the lines in the slope-intercept form:

1) 4x + 3y = 15

  3y = 15 - 4x

   y = (-4/3)*x + 15/3

   y = (-4/3)*x + 5

2) 3x - 4y = -8

  -4y = -8 - 3x

     y = 2 + (3/4)x

So we can see that lines 2 and 4 are parallel.

If we rewrite line 3 we will get:

y + 1 = (4/3)*(x - 6)

y = (4/3)*x - 8  -1

y = (4/3)*x - 9

Then we conclude that only lines 2 and 4 are parallel.

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