What is the lenght of AB? Plssss help meeeeee

Answer:

uhh judy has $3.024 in her bank acc

She is buying tickets for 11 friends and including herself too that means 12

Two friends decided help to buy the tickets and offered $100 each i.e $200

So I'm guessing that the cost price of one ticket is $100

Now than since 2 people paid their ticket cost than that means only 10 people left

Than for buying tickets for 10 people would cost (10×100=1000)

So I guess buying the tickets cost 1000 or if we add other two people's cost than that makes 1200

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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The perimeter of the triangle is 30 units

The vertices are (−7,−1), (5,−1), and (5,4).

Start by calculating the distance between the vertices using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2\)

So, we have:

\(d1 = \sqrt{(-1 + 1)^2 + (5 + 7)^2\)

d1 = 12

\(d2 = \sqrt{(-1 - 4)^2 + (5 - 5)^2\)

d2 =5

\(d3 = \sqrt{(-1 - 4)^2 + (-7 - 5)^2\)

d3 = 13

The perimeter is then calculated as:

P = d1 + d2 + d3

This gives

P = 12 + 5 + 13

Evaluate

P = 30

Hence, the perimeter of the triangle is 30 units

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The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches

Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

The probability that all 4 cards are face cards is 0.00182842367.

The face cards are the King, Queen, and Jack (sometimes known as the Knaves). There are 12 face cards in the 52-card deck of playing cards.

The cards are drawn without replacement,

The probability of getting a face card in first draw is 12/52.

As it is without replacement, in the second draw the probability is 11/51.

In third draw, it is 10/50.

In the fourth draw the probability is 9/49.

We have to draw all the four cards, so we multiply the probabilities, to get the final probability.

=12/52x 11/51 x 10/50 x 9/49

=0.00182842367.

Therefore, the probability that all 4 cards are face cards is 0.00182842367.

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(a) Expand the given expression as

\(\dfrac{3s-10}{s^2+25}=3\cdot\dfrac s{s^2+25}-2\cdot\dfrac5{s^2+25}\)

You should recognize the Laplace transform of sine and cosine:

\(L[\cos(at)]=\dfrac s{s^2+a^2}\)

\(L[\sin(at)]=\dfrac a{s^2+a^2}\)

So we have

\(L^{-1}\left[\dfrac{3s-10}{s^2+25}\right]=3\cos(5t)-2\sin(5t)\)

(b) Take the Laplace transform of both sides:

\(y'(t)+3y(t)=e^{6t}\implies (sY(s)-y(0))+3Y(s)=\dfrac1{s-6}\)

Solve for \(Y(s)\):

\((s+3)Y(s)-2=\dfrac1{s-6}\implies Y(s)=\dfrac{2s-11}{(s-6)(s+3)}\)

Decompose the right side into partial fractions:

\(\dfrac{2s-11}{(s-6)(s+3)}=\dfrac{\theta_1}{s-6}+\dfrac{\theta_2}{s+3}\)

\(2s-11=\theta_1(s+3)+\theta_2(s-6)\)

\(2s-11=(\theta_1+\theta_2)s+(3\theta_1-6\theta_2)\)

\(\begin{cases}\theta_1+\theta_2=2\\3\theta_1-6\theta_2=-11\end{cases}\implies\theta_1=\dfrac19,\theta_2=\dfrac{17}9\)

So we have

\(Y(s)=\dfrac19\cdot\dfrac1{s-6}+\dfrac{17}9\cdot\dfrac1{s+3}\)

and taking the inverse transforms of both sides gives

\(y(t)=\dfrac19e^{6t}+\dfrac{17}9e^{-3t}\)

Answer:

The probability that a student arriving at the ATM will have to wait is 67%.

Step-by-step explanation:

This can be solved using the queueing theory models.

We have a mean rate of arrival of:

\(\lambda=1/3\,min^{-1}\)

We have a service rate of:

\(\mu=1/2\,min^{-1}\)

The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).

Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.

The last can be calculated as:

\(P_{n>0}=\rho=\dfrac{\lambda}{\mu}=\dfrac{1/3}{1/2}=\dfrac{2}{3}=0.67\)

Then, the probability that a student arriving at the ATM will have to wait is 67%.

Answer:

c+2c+12=75

c = 21

Steps:

c+2c+12=75

Simplify both sides of the equation.

c+2c+12=75

(c+2c)+(12)=75(Combine Like Terms)

3c+12=75

3c+12=75

Subtract 12 from both sides.

3c+12−12=75−12

3c=63

Divide both sides by 3.

The next number in the sequence 1, 2, 6, 22 is 86.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 1, 2, 6, 22

Consider the provided sequence 1, 2, 6, 22, ____ ?

Observe the pattern of the sequence.

To obtain the sequence you need to add the next even square of 2 in the previous number.

1+2⁰=2

Now the next even number is 2.

2+2²=6

Now 6+2⁴=6+16=22

Therefore, the next number should be:

22+2⁶=86

Hence, the next number in the sequence 1, 2, 6, 22 is 86.

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Answer:

9 Prizes

Step-by-step explanation:

She begins with 420 tickets.

She goes on 2 rides for 75 tickets each so 420-75-75= 270

She then attends the concert for 180 tickets so 270-180= 90

Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9

9 PRIZES

Answer:

1/7 of a box of food.

Step-by-step explanation:

Rosie's leaving for SEVEN days, Spot can eat ONE box a week, if he eats the same amount every day, the answer would be 1/7.

Answer:

  B. The graph of K has a greater y-intercept

  D. The graph of J has a greater slope.

Step-by-step explanation:

Given a table for function J and an equation for function K, you want to know which has the greater slope, and which has the greater y-intercept.

The y-intercept is the value of the function when x=0. We see from the table that y=2 corresponds to x=0 for function J.

We see from the equation for function K that the constant is 8. This is the value of y when x=0.

Function K has the greater y-intercept (8 vs. 2).

The slope is the change in y-value when x increases by 1 unit. We see from the table that y=7 when x=1, so the change in y from x=0 to x=1 is 7-2 = 5. The slope of function J is 5.

The equation for function K has an x-coefficient of 3. This means a change in x of 1 unit will result in a change in y of 3 units. The slope of function K is 3.

Function J has the greater slope (5 vs. 3).

Additional comment

Both functions are graphed in the attachment. The y-intercepts have their points labeled. The graph with the steeper slope is the blue line, function J.

Answer:

  a) see attachment

  b) negative values for miles or gallons are not possible

  c) 45 miles

Step-by-step explanation:

See the attachment for a graph

__

Graphing in the first quadrant is all that is necessary, because the number of gallons and the number of miles cannot be negative.

__

Use 2.5 for g and evaluate:

  d = 18(2.5) = 45

Rick can drive 45 miles on 2.5 gallons of gas.

Answer:

60°

Step-by-step explanation:

That's an equilateral triangle therefore all sides and angles are the same.

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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The exponential decay formula is:

where y and x are the variables, a is the initial value, and r is the decay rate (as a decimal)

In the case of the values of a computer, the initial value is 960, that is, a = 960. y represents the value of the computer and x represents time. Substituting with x = 1, y = 720, and a = 960, we wet:

Now we can check if this model predicts correctly the other values of the table.

These results show that the value of the computer decay by a constant percentage rate per year.

The equation is:

The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.

What is the quadratic equation?

A quadratic equation is a type of polynomial equation of degree 2, that can be written in the form of ax^2 + bx + c = 0 where x is the variable, a,b,c are constant and a is not equal to zero.

To solve for x in the equation 9/(x+4) = 2x, we can first clear the fractions by multiplying both sides of the equation by (x+4). This gives us:

9 = 2x*(x+4)

Then we can simplify the right side of the equation:

9 = 2x^2 + 8x

Next, we can move all the x terms to one side of the equation and all the constants to the other side:

2x^2 + 8x - 9 = 0

Now we can use the quadratic formula to solve for x:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

where a = 2, b = 8, and c = -9

So we have:

x = (-8 +/- sqrt(8^2 - 42-9)) / 2*2

x = (-8 +/- sqrt(64 + 72)) / 4

x = (-8 +/- sqrt(136)) / 4

x = (-8 +/- 4*sqrt(17)) / 4

x = (-2 +/- sqrt(17))

So the solutions for x are x = -2 + sqrt(17) and x = -2 - sqrt(17)

The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.

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The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

67.25

Step-by-step explanation:

Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

7/27 pizza's were pepperoni and 20/27 pizzas did not have pepperoni

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

id k how to explain

Answer:

x>1 (the first one)

Step-by-step explanation: