g in the axis of symmetry ng quadratic function by finding the key features. f(x)=x^(2)-2x-24 Axis of Symmetry:

Answers

Answer 1

The axis of symmetry of a quadratic function can be found by taking the negative of the coefficient of the x term, and then dividing it by 2. In this case, the coefficient of the x term is -2, so the axis of symmetry is located at x = -1.


The key features of the quadratic function are the vertex, the y-intercept, and the x-intercepts. To find the vertex, substitute the x-value for the axis of symmetry into the equation. In this case, the vertex is located at (x, y) = (-1, 27).

The y-intercept is found by setting x = 0 and solving for y. This gives us y = -24, so the y-intercept is located at (0, -24).

To find the x-intercepts, set y = 0 and solve for x. In this case, the x-intercepts are located at (2, 0) and (6, 0).

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Related Questions

In triangle ABC, Angle C is a right angle. Find the value of the trig function. Find the Tan A if c=7√10 and a=21

Answers

Answer:

tan A= 8/15

draw triangle where A and B are legs and C is hypotenuse

A=8 and C=17, meaning that you need to find B by using Pythagorean theorem (a^2+b^2=c^2)

8^2+b^2=17^2

64+b^2=289

b^2=225

b=15

tan= opposite/adjacent

tan A=8/15

simplify the radical expression below 2/9.

Answers

The simplification of the radical expression √9. is 3.

What is radical expression?

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. When a radical expression appears in the denominator of an algebraic expression, the radical expression is simplified by multiplying the numerator and denominator by the appropriate radical expression (for example, conjugate in the case of a binomial and the same radical in the case of a monomial).

The given expression is √9.

The given expression can be written as:

√(3)(3) = 3

Hence, the simplification of the radical expression √9. is 3.

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(1 point) The radius of the circle with a central angle of 6 radians that intercepts an arc with length 88 cm is _____ cm. The radius of the circle with a central angle of 120° that intercepts an arc with length 17 miles is_____ miles.

Answers

The radius of the first circle is 14.67 cm and the radius of the second circle is 8.11 miles.

The radius of a circle can be found by using the formula s = rθ, where s is the length of the arc, r is the radius, and θ is the central angle in radians. Rearranging the formula, we can find the radius by dividing the length of the arc by the central angle: r = s/θ.

For the first part of the question, we are given an arc length of 88 cm and a central angle of 6 radians. Plugging these values into the formula, we can find the radius:

r = 88 cm / 6 radians = 14.67 cm

For the second part of the question, we are given an arc length of 17 miles and a central angle of 120°. However, we need to convert the central angle from degrees to radians before plugging it into the formula. We can do this by multiplying the angle in degrees by π/180:

120° × π/180 = 2π/3 radians

Now we can plug the values into the formula to find the radius:

r = 17 miles / (2π/3) radians = 8.11 miles

So the radius of the first circle is 14.67 cm and the radius of the second circle is 8.11 miles.

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I suck at math, so someone who is good at it please help me.

Answers

Alternate interior angles = ∠7 and ∠9.

Corresponding angles = ∠1 and ∠7

Vertical angles = ∠4 and ∠11

∠7 = 60°

∠8 = 120°

∠9 = 60°

How do angles work?

When two lines meet, they intersect at an angle. By using the symbol, we may symbolise an angle.

Two lines meet at the common vertex of an angle, which has one common leg. A straight line's one side always has a total angle of 180 degrees. On the other hand, a point's surrounding angles are always added up to 360 degrees.

Here,

We can see that the Alternate interior angles = ∠7 and ∠9.

Corresponding angles = ∠1 and ∠7

Vertical angles = ∠4 and ∠11

Given, ∠1 = 60°

Now similarly, using the angles properties we can ind the rest of the angles.

∠7 = 60°

∠8 = 120°

∠9 = 60°

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Annabel sent 39 text messages to her brother during the last 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?

Answers

Answer: 3

Step-by-step explanation:

39 divided by 13 is equal to 3

there are 39 days, and if you divide it by how many days (13), you would get how many messages were sent each day which is 3

Well It’s Really Simple You’ve Could Have A Calculator. 52 Fifty- Two

PLEAAAASEEEE HELPP!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!

Answers

1. The y-intercept of y = -3/2x - 4, is -4, which would be marked at y = -4 on the y-axis.

2. The slope (m) = 3; y-intercept (b) = -86;

The equation for the situation is: y = 3x - 86

3. Median of class A = 40; Median of class B = 8

The difference is: 32

What is the Y-intercept of a Linear Equation?

In a linear equation, the y-intercept is the point at which the graph of the equation intersects the y-axis. It is the value of y when x is equal to zero.

1. The y-intercept of the equation, y = -3/2x - 4, is -4. This means the y-intercept on the graph would be at when y = -4 on the y-axis.

2. The slope (m) = unit rate = 3 degrees every hour

The starting value = y-intercept (b) of the situation = -86

To write an equation for the situation substitute m = 3 and b = -86 into y = mx + b:

y = 3x - 86

3. Median is the middle value of a data set, therefore:

Median of class A = 40

Median of class B = 8

The difference between the medians of the class = 40 - 8 = 32

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A car drives at a speed of 90km/h for 2 hours and 20 minutes. How far does the car drive

Answers

Answer: 210 ( it hope this is a best answer)

Step-by-step explanation:

2 hours and 20 minutes is 2 and a third hours. Multiply 90 by 2 and a third.

90 × 2.333

209.999

If you round to the nearest kilometer, the answer is 210 km

the numbers 2.888... and 2.999... are both rational numbers. What is an irrational number the is between the two rational numbers?

Answers

2.8889........., 2.8890........, 2.8891...... etc is an irrational number the is between the two rational numbers.

What is a rational number, with an example?

Any number with the pattern p/q, where p and q are integers and q is not equal to 0, is a rational number. Rational numbers include, among others, 1/3, 2/4, 1/5, 9/3, and so forth.

A rational number is a number which is can be represented as the quotient of two numbers without having any remainder i.e., having remainder 0. For example 2.45, 2, 3 etc.

An irrational number has a non zero remainder and has a non terminating quotient. For example the numbers shown in the question 2.888...... and 2.999..... etc.

So the numbers between 2.888... and 2.999... are 2.8889........., 2.8890........, 2.8891...... etc

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The circumference of the bike tire above is 82.268 inches.

What is the radius of the bike tire? (Use 3.14 for .)
A.
26.2 in
B.
13.1 in
C.
41.13 in
D.
258.32 in

Answers

Step-by-step explanation:

The circumference of the bike tire above is 82.268 inches.

What is the radius of the bike tire? (Use 3.14 for .)

A.

26.2 in

B.

13.1 in

C.

41.13 in

D.

258.32 in

Ps=the answer is B

Solve Show all steps
(x^3/2)^6/5 =x^a

Answers

[tex](x^{3/2} )^{6/5}[/tex]

= [tex]x^{9/5}[/tex]

The value of a after solving through exponents = 9/5

What are exponents?

The way of representing huge numbers in terms of powers is known as an exponent. The number of times a number has been multiplied by itself is the exponent, so to speak.

For instance, the result of multiplying the number 6 by itself four times is:

6 × 6 × 6 × 6. You can write this as

Now here,

[tex](x^{3/2} )^{6/5}[/tex]

= [tex]x^{9/5}[/tex]

Therefore, the value of a = 9/5.

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Write an equation for the graph that passes through (1,7) and (3,3).

Answers

We can use the two-point form to find the equation of the line passing through the two given points:

y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)

where (x1, y1) = (1, 7) and (x2, y2) = (3, 3).

Substituting the values, we get:

y - 7 = ((3 - 7)/(3 - 1))(x - 1)

Simplifying the equation, we get:

y - 7 = (-2/2)(x - 1)

y - 7 = -x + 1

Adding 7 to both sides, we get:

y = -x + 8

Therefore, the equation of the line passing through the points (1, 7) and (3, 3) is y = -x + 8.

Hope this helps <3

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Which graph shows the solution to the inequality? x + 2 < -3 A) A B) B C) C D) D

Answers

Therefore , the solution of the given problem of inequality comes out to be the inequality x -5 is option B.

What does inequality imply in reality?

Regardless of the equal symbol, a connection or group of numbers variables can be an inequality in mathematics. Equilibrium is always followed by equity. Inequality happens when ideals are still incompatible. Differences exist between inequality expression and fairness. We chose to utilize the most prevalent symbol because elements aren't always similar or comparable (). No mater how few or many variations there are, they can all be used to evaluate values.

Here,

Option B) B is the proper response.

We must isolate x on one side of the inequality in order to answer the inequality x + 2 -3. By taking 2 away from both edges, we arrive at:

=> x < -5

According to this inequality, x is any integer that is less than -5. Since x cannot equal -5,

we must create an open circle at this point on the number line and shade to the left of it to represent all the different values of x that could be used.

Looking at the available choices, we can see that the only graph that accurately depicts the inequality x -5 is option B) B.

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2+2+??= 4,000
helppppppppppppppppppppppp

Answers

Answer:

2 + 2 + ?? = 4,000

?? = 3996

Step-by-step explanation:

You're welcome.

a ice cream truck driver figured out that the number of ratio of vanilla to chocolate ice cream cones sold was 5 to 2 if 125 vanilla cones were sold how many chocolate cones were sold?

Answers

Answer: 50 chocolate cones

Step-by-step explanation: if 5 is 125 vanilla then 125/5= 25 so every 1=25 and that means 2*25= 50

Answer:

50. There were 50 chocolate cones sold.

Step-by-step explanation:

so we do it like this: see the attachment for the work i did to solve

*Baige=Vanilla*

*brown=chocolate*

when you cross multiply you get 50

Quadratic Functions:
Evaluate the function fx= -4x2+6x-1 to find
f-1
Using the same function, when is fx=0

Answers

For function fx= -4x2+6x-1

f(-1) = -11 fx=0 when x = (3+√5)/4 and x = (3-√5)/4.

To find f(-1), we need to plug in -1 for x in the function and simplify:
f(-1) = -4(-1)2+6(-1)-1
f(-1) = -4+(-6)-1
f(-1) = -11

To find when fx=0, we need to set the function equal to 0 and solve for x: -4x2+6x-1=0

We can use the quadratic formula to solve for x:
x = (-b ± √(b2-4ac))/(2a)
x = (-(6) ± √((6)2-4(-4)(-1)))/(2(-4))
x = (-6 ± √(36-16))/(-8)
x = (-6 ± √20)/(-8)
x = (-6 ± 2√5)/(-8)
x = (3 ± √5)/4

So, the two values of x that make fx=0 are (3+√5)/4 and (3-√5)/4.

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In this picture, the white ball _____________ its momentum to the red ball. fill in the blank.

Answers

The white ball is transferring its momentum to the red ball.
The missing blank is "transferring".

What is the law of conservation of momentum?

The statement "the white ball is transferring its momentum to the red ball" is based on the law of conservation of momentum.

According to this law, the total momentum of a closed system (in which no external forces act on the system) is conserved. This means that the momentum lost by one object in the system must be gained by another object in the system.

So we can conclude that, in the picture, the white ball and the red ball together form a closed system, and the collision between them causes the white ball to transfer some of its momentum to the red ball, in accordance with the law of conservation of momentum.

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The scale factor of two similar hexagons is 3:7. The area of the smaller hexagon is 18 m2. What is the volume of the larger hexagon?


42 m2


36 m2


98 m2


5832 m2


324 m2

Answers

The area of the hexagon is 98 sq. m and option 3 is the correct answer.

What is a hexagon?

The closed polygonal form of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides. Regular pentagons, for instance, have 5 equal sides, while regular octagons have 8 equal sides. When these requirements are not satisfied, polygons might resemble many other asymmetrical forms. A regular hexagon is formed when six equilateral triangles are placed side by side. The regular hexagon's area then increases to six times that of the identical triangle.

Given that,

The scale factor of two similar hexagons is 3:7.

The ratio of the area will thus be,

(3/7)^2 = 9/49.

For the area of the smaller hexagon as 18 we have:

9/49 = 18/A

(9/49)A = 18

Multiplying both sides by 49/9, we get:

A = 98 sq. m

The volume of the hexagon cannot be determined by the given information.

Hence, the area of the hexagon is 98 sq. m and option 3 is the correct answer.

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If you were counting by 4's, what are the next three numbers you would
count?
56, 60, 64, 68, ?, ?, ?...
OA. 72, 80, 88
OB. 76, 80, 84
C. 72, 76, 80
OD. 60, 64, 68

Answers

Answer: The answer would be C

Step-by-step explanation:

If we start from 56,60,64,68 and were adding 4 each time the next numbers would be 72,76,80

If you add up it is C

Compute the x and y coordinates for points on sine and cosine curves. Set up a subplot grid that has height 2 and width 1 and set the first such subplot as active. Plot the sine and cosine graphs. Hint: Use the plt.subplot() function

Answers

plt.plot(x, y_sine)
plt.plot(x, y_cosine)

To compute the x and y coordinates for points on sine and cosine curves, you need to use the trigonometric functions sine and cosine. To plot the sine and cosine graphs in the same figure, you need to create a subplot grid using the plt.subplot() function. This function takes in the number of rows, columns and the active plot you want to plot the graphs in.



To create a subplot grid that has height 2 and width 1 and set the first subplot as active, the code will look like this:
plt.subplot(2, 1, 1)



You can then plot the sine and cosine graphs by using the x and y coordinates calculated from the sine and cosine functions. The code for plotting the graphs will look like this:
plt.plot(x, y_sine)
plt.plot(x, y_cosine)

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Match the cylinder in the left column with its surface area in the right column

Show work please!! I need this ASAP

Answers

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

The surface area of a cylinder is:

Surface area = 2πr(r + h)

where r is the radius and h is the height

1) r = 5 in., h = 11 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(5)(5 + 11) = 502.4 in²

2) r = 6 in., h = 10 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(6)(6 + 10) = 602.88 in²

3) r = 2 in., h = 12 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(2)(2 + 12) = 175.84 in²

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

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Arrange these in descending order
0. 68
0. 5
0. 345
0. 99

Answers

0.345 0.5 0.68 0.99 that is the descending order

Question 2 of 10
Solve the inequality for x and identify the graph of its solution.
|x+3|< 2
Choose the answer that gives both the correct solution and the correct graph.
A. Solution: x < -5 or x>-1
411
O
-8 -7 -6 -5 -4 -3 -2 -1 0 12
B. Solution: x>-5 and x < -1
+
O11
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
OC. Solution: x>-5 and x < -1
O
-8-7-6 -5 -4 -3 -2 -1 0 1 2
OD. Solution: x < 1 or x>5
O
-2 -1 0 1 2 3
3
4
O
5 6 7 8

Answers

The solution of the inequality |x+3| < 2 is -5 < x < -1.

And the graph is given in the image below.

The correct option is C.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

To solve the inequality |x+3| < 2, we need to consider two cases:

Case 1: x+3 ≥ 0

In this case, the inequality simplifies to x+3 < 2, which gives us x < -1.

Case 2: x+3 < 0

In this case, the inequality simplifies to -(x+3) < 2, which gives us -x-3 < 2, or -x < 5, or x > -5.

Combining the results from both cases, we get the solution:

-5 < x < -1

To graph the solution, we draw an open circle at x=-3

(since the absolute value is less than 2, not less than or equal to), and shade the region between -5 and -1.

Therefore, the solution is -5 < x < -1.

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hey you can you stop and help me look at the picture pls and thx then can you answer pls

Answers

The line which is not transversal to LR would be Line TK.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Properties of Parallel Lines Cut by a Transversal

The corresponding angles are equal and the vertically opposite angles are equal.

The alternate interior angles are equal and the alternate exterior angles are equal.

Also, pair of interior angles on the same side of the transversal is supplementary.

Since we know that transversal is a line that intersects two or more other lines at different points.

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Line TK is not transversal to line LR.

What are parallel lines?

Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines. We can also say Parallel lines meet at infinity.

Given,

Line PR and KT are parallel

By the figure,
PR = LR

and KT = TK
PR || KT

∴ LR || TK

Hence, TK is the line, that is not the transversal line to LR.

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Find the other endpoint: if Q is the midpoint of segment PR, find the coordinates of R if point P is (11,-2) and point Q is (-2,3)

Answers

The coordinates of R are (-15, 8). The solution has been obtained by using Mid point formula.

What is Mid point formula?

The centre point of a straight line can be located using the midpoint formula. If we know the coordinates of the other endpoint and the midpoint, we can use the midpoint formula to obtain the coordinates of the endpoint as well.

We are given that Q is the midpoint of segment PR and point P is (11,-2) and point Q is (-2,3).

Let the coordinates of R be (x₂, y₂)

Using Mid point formula, we get

⇒Point Q = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

⇒(-2,3) = ((11 + x₂) / 2, (-2 + y₂) / 2)

So,

⇒-2 = (11 + x₂) / 2

⇒-4 = 11 + x₂

x₂ = -15  

Similarly,

⇒3 = (-2 + y₂) / 2

⇒6 = -2 + y₂

y₂ = 8

Hence, the coordinates of R are (-15, 8).

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Please asp 50 points and brainly

Answers

Answer:

A= 9/20 B= 45% C=0.45 d= 4.5% E= 3/8 F= 0.375 G= 37.5% H= 15.5% I = 0.8 j=80%

is a 20% off coupon and a 10% off coupon the same thing as using a 30% off coupon

Answers

Answer: no

Step-by-step explanation:

No it is not the same

Quadratic worded question
The owner of a fish shop bought x kilograms of salmon for $400 from the wholesale market. At the end of the day, all except for 2 kg of the fish were sold at a price per kg that was $10 more than what the owner paid at the market. From the sale of the fish, a total of $540 was made. Calculate how many kilograms of salmon the fish-shop owner bought at the market.

Answers

Answer: 23 kg

Step-by-step explanation:

Let's begin by using algebra to solve the problem.

Let x be the number of kilograms of salmon the fish-shop owner bought at the market.

We know that the total cost of the salmon was $400, so we can write:

400 = x * c

where c is the cost per kilogram of salmon.

We also know that all except for 2 kg of the fish were sold at a price per kg that was $10 more than what the owner paid at the market. So the price per kilogram of salmon at the fish shop was c + 10.

The total revenue from the sale of the fish was $540, so we can write:

540 = (x - 2) * (c + 10)

Now we can use these two equations to solve for x.

First, we can use the first equation to solve for c:

c = 400 / x

Then we can substitute this expression for c into the second equation:

540 = (x - 2) * (400/x + 10)

Simplifying this equation:

540 = 4000/x + 10x - 20 - 80/x

Multiplying both sides by x:

540x = 4000 + 10x^2 - 20x - 80

10x^2 - 20x - 4600 = 0

Dividing both sides by 10:

x^2 - 2x - 460 = 0

We can solve for x using the quadratic formula:

x = [2 ± sqrt(4 + 4*460)] / 2

x = [2 ± 44] / 2

Discarding the negative solution, we get:

x = (2 + 44) / 2

x = 23

Therefore, the fish-shop owner bought 23 kilograms of salmon at the market.

James spent 2/5 of his pocket money on snacks and 1/4 of the remaining amount on snacks a) Calculate the fraction of his pocket money spent on snacks. b)calculate his pocket money if he still has$9.00 left​

Answers

Answer: about 26.00

Step-by-step explanation:

Suppose you're deciding where to order a Hawaiian pizza, and waiting time is a concern of yours. You're considering Krazy Karl's Pizza where the average waiting time is 64 minutes, with a standard deviation of 4. 5 minutes. Or, you might call Domino's Pizza where the average waiting time is 54. 6 minutes, with a standard deviation of 8. 1 minutes.

Z-score for a waiting time of

65 minutes at Krazy Karl's: 0. 222

61. 1 minutes at Domino's: 0. 802

1. How many standard deviations away from the average is a wait time of 71. 8 minutes from Krazy Karl's?

2. About 50% of wait times from Krazy Karl's are smaller than ___ minutes

3. About 95% of wait times for Krazy Karl's are approximately between __ minutes and __ minutes.

4. About 99. 7% of wait times for Domino's are approximately between___ minutes and ___ minutes.

5. How long would you have to wait for a Domino's pizza to be in the same percentile as a wait time of 74 minutes from Krazy Karl's? In other words, what wait time for Domino's is "equivalent" to a wait time of 74 minutes from Krazy Karl's?

6. How long would you have to wait for a Krazy Karl's pizza to be in the same percentile as a wait time of 54 minutes from Domino's? In other words, what wait time for Krazy Karl's is "equivalent" to a wait time of 54 minutes from Domino's?

Answers

Answer:

vydbskehhwbe

Step-by-step explanation:

bshhdvjebheunsns

Reference Library. 40. In a standard deck of 52 cards, what is the probability of drawing a King (4 cards ), a Queen ( 4 cards ), or a Jack ( 4 cards )?

Answers

The probability of drawing a King, Queen, or Jack from a standard deck of 52 cards is 3/13.


The probability of drawing a King, Queen, or Jack in a standard deck of 52 cards can be calculated by using the formula for the probability of an event happening: P(E) = number of favorable outcomes / total number of possible outcomes.

In this case, the number of favorable outcomes is the total number of Kings, Queens, and Jacks in the deck, which is 4 + 4 + 4 = 12. The total number of possible outcomes is the total number of cards in the deck, which is 52.

So, the probability of drawing a King, Queen, or Jack is:

P(E) = 12 / 52

Simplifying this fraction gives us:

P(E) = 3 / 13

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literary terms in the summer i turned pretty Systemic therapy explores the functionality of individuals in groups, including family units. Clients in need of systemic therapy are considered infectious to their families and may have negative effects on them by exhibiting or provoking behaviors such as impulsive behavior, aggressive and violent behavior, denial, and _____.regressionenablingguilt tripsdisabling There is one exception to the rule that waves don't move matter. What is it? Which research question most likely contributed to the authors development of the fifth paragraph (sentences 2025)? A. Why do some people dislike wind farms? B. What has Gail Kinsey Hill written about wind farms in the Oregonian newspaper, and how have these affected support for these facilities? C. Do wind farms in some locations have a negative effect on bird species? D. How many golden eagles have died due to wind farms in the last year? involving in relationship as a means of overcoming depressionstatement of the problem Please help I dont know what to do on this one Ive been stuck on it for 20 minutes. In what year was McDonald's founded? Although many types of vesicles are similar in size and density, it is possible to isolate specific types of vesicles through the use of:A) light microscopy.B) antibodies attached to bacterial carriers and low speed centrifugation.C) ultracentrifugation.D) a fluorescent-activated cell sorting machine. Law cluster escape room Darren is hoping to get search results that begin with the words "art history." Which of the following search terms will helphim?A. art historyC. lart historyB. "art history"D. -art history- Find the values of a and b that make the followingpiecewise-defined function both continuous and differentiableeverywhere.f(x)={33x, , x The owner of a quick oil-change business charges $36$36 per oil change and has 6060 customers per day. If each increase of $3$3 results in 33 fewer dailer customers, what price should the owner charge (to the nearest $3$3) for an oil change if the income from the business is to be as great as possible? A taxi service charges $3.00 just to get in the cab and $1.00 for each mile traveled. Use the calculator to help you solve for the cost per mile. Number of miles (m) Cost in dollars (c) Cost per mile ( m c ) graph 5sin(pi/2 x-pi) +3 8.2 A sum of R45 360 has to be shared among three people. Divide the money between Ayanda, (4 Zipho and Palesa according to the ratio of 4:3:2 A tent is shaped like a triangular prism with the dimensions shown. If the volume of the tent is 12.6 cubic meters, what is the center height of the tent? The dimensions are 2.8m for the base and 4.5 for the height that connects the bases. Carissa is budgeting for her next semester at college. She spent $50 on gas this month. Economists are predicting gas prices to rise 8% per month for the next 6 months. How much should she budget for gas if classes start next month and are 4 months long? $204. 00 $210. 80 $240. 00 $243. 33. What was the amount of change in Total Current Liabilities for Five Below from January 30, 2021 until January 29, 2022? (Note: Balance Sheet amounts are listed in thousands)What was the amount of change in Total Current Liabilities for Five Below from January 30, 2021 until January 29, 2022? (Note: Balance Sheet amounts are listed in thousands)Total Current Liabilities Increased by $151,231,000Total Current Liabilities Decreased by $435,670,000Total Current Liabilities Increased by $586,901,000Total Current Liabilities Increased by $327,292,000 12. Lupe Martinez will owe her retired mother $45,000 for a piece of land. Find the required quarterly payment into a sinking fund if Lupe pays it off in 4 years and the interest rate is 10% per year compounded quarterly. The impact of globalisation on the policy-making process is that it can expand the arena of issue search and discussion as well as adding many more constraints, variables and actors to the process and analysis. Based on the aforementioned statement, explain the impact of globalisation on the public policy making process in a country of your choice.