The diagram shows the circle with equation x2 + y2 = 53
A
O
A tangent to the circle is drawn at point A with coordinates (-2,7)
Find an equation of the tangent at A.

Answers

Answer 1

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Explain about the Equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account collectively in order to comprehend or describe the overall situation, this is known as an equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

X2+Y2 =53

= 53 + (50-1)(-4)

= 53-196

= -143

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Related Questions

if a factory can make 600 nails every 3 minutes, how long would it take to make 27,000 nails?

Answers

Answer:

2 hours 15 minutes

Step-by-step explanation:

Conditions Given:A factory makes 600 nailsFor making 600 nails the factory takes 3 minutesTo Find:Time taken by the factory to make 27000 nailsSolution:

Given,

No. of nails the factory makes = 600

Time taken by the factory to make 600 nails = 3 minutes

So,

Time taken by the factory to make 1 nail = [tex]\frac{3}{600}[/tex] minutes

Time taken by the factory to make 27000 nails

= ( [tex]\frac{3}{600}[/tex] × [tex]27000[/tex] ) minutes

[On simplifying]

= ( [tex]\frac{1}{2}[/tex] × [tex]270[/tex] ) minutes

[On further simplifying]

= 135 minutes

Or,

As we know ,  [ 1 minute =  [tex]\frac{1}{60}[/tex] hour]

So, 135 minutes = [tex]\frac{135}{60}[/tex] hours

[On simplification]

= 2.25 hours

Now, [1 hour = 60 minutes]

0.25 hours = [tex]\frac{1}{4}[/tex] hours

= [tex]\frac{1}{4}[/tex] × 60 minutes

= 15 minutes

Hence,

The time taken by the factory to make 27000 nails is 2 hours 15 minutes (Ans)

Answer:

2.25 hours or 2 hours 15 minutes

Step-by-step explanation:

600 nails / 3 minutes = 200 nails / minute

27,000 nails / 200 nails/minute = 135 minutes

1 hour = 60 minutes

135 minutes × 1 hour / 60 minutes = 2.25 hours

2.25 hours = 2 hours  + 0.25 hours × 60 minutes/hour = 2 hours 15 minutes

Answer: 2.25 hours or 2 hours 15 minutes

Graph the line with the equation y=− 6/1x +1

Answers

Answer:

The answer is (1, 6)

Step-by-step explanation:

4 tins of soup have a total weight of 1120 grams
3 tins of soup and 5 packets of soup have a total weight of 1015 grams
work out the total weight of 5 tins of soup and 2 packets of soup

Answers

grams = g

4 tins of soup = 1120g
1 tin of soup = 1120/4 = 280g
3 tins of soup = 3x280g = 840g
5 packets of soup = 1015g - 840g = 175g
1 packet of soup = 175g/5 = 35g

5 tins of soup + 2 packets of soup =(5x280)g + (2x35)g
= 1400g + 70g
= 1470g

which statement is not a step used when constructing an inscribed equilateral triangle ?

Answers

Use the compass to join the two circles together, this statement is not a step used when constructing an inscribed equilateral triangle.

What is known as a triangle?

A polygon having three vertices and three sides are called a triangle. The triangle's angles are created by joining its three sides end to end at a single point.

The triangle's construction does not include claim D, which is the case. Use the compass to join the two circles together.

It is necessary to keep the compass at a width equal to the circle's radius and to position it at the point where the circle and radius connect while building an inscribed equilateral triangle.

Additionally, it's crucial to pivot an arc the radius's length away from the circle's point. It is not a part of the steps to join the two circles using the compass.

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Which equation represents a line which is perpendicular to the line y=-4x-5?
A.x+4y=−32
B.4x+y=3
C.4x−y=−4
D.4y−x=4

Answers

Your answer is (B) 4x+y=3

What transformation occurs from the graph y = x² to the graph of y = (x − 5)² + 7?

A a vertical shift up 5 units and a horizontal shift right 7.
B a vertical shift down 5 units and a horizontal shift right 7
C a vertical shift up 7 units and a horizontal shift left 5
D a vertical shift up 7 units and a horizontal shift right 5

Answers

The transformation that occurs from the graph (y = x²) to the graph of [y = (x − 5)² + 7] is (D) a vertical shift up 7 units and a horizontal shift right 5.

What do we mean by the graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.You must choose x-values and insert them into the equation in order to graph a function. You will obtain a y-value if you enter those values into the equation. Your coordinates for a single point are made up of your x-values and your y-values.

So, the transformation from:

y = x² to y = (x - 5)

First, plot both graphs.

(Refer to the graph attached below)

Now, notice that the graph of the function y = (x - 5)² + 7 has shifted vertically upwards by 7 units and horizontally right by 5 units.

Therefore, the transformation that occurs from the graph (y = x²) to the graph of [y = (x − 5)² + 7] is (D) a vertical shift up 7 units and a horizontal shift right 5.

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2x + y = 1
-2y + 5z = -5
3x + 4z = -2

Answers

Answer:

y=5 x= -2 z=1 the procedure Is in the picture

a package of 4 erasers costs $0.39. At this rate, how much would 54 erasers cost, in dollars and cents?

Answers

Answer:

Step-by-step explanation:

5 dollars and 25 cents

A triangle has sides with lengths of 10 yards, 12 yards, and 14 yards. Is it a right triangle?

yes or no?

Answers

Yes it can be a right triangle even if it has 3 different lengths

Answer:

No

Step-by-step explanation:

The sum of the squares of the lengths of the two shorter sides is [tex]10^2+12^2=244[/tex].

The square of the length of the largest side is [tex]14^2=196[/tex].

Because these two values are not equal, the side lengths do not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.

The parabolic path of a performer who is shot out of a cannon, where y is the height (in feet) and x is the horizontal distance traveled (in fleet), has a vertex of (60,50) and a y-intercept of (0,30). Write an equation of the parabola. The performer lands in a net 80 feet from the cannon. What is the height of the net?

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=60\\ k=50 \end{cases}\implies y=a(x-60)^2+50\qquad \textit{we also know that} \begin{cases} x=0\\ y=30 \end{cases} \\\\\\ 30=a(0-60)^2 + 50\implies -20=a(-60)^2\implies -20=3600a \\\\\\ \cfrac{-20}{3600}=a\implies -\cfrac{1}{180}=a\hspace{5em}\boxed{y=-\cfrac{1}{180}(x-60)^2+50} \\\\\\ \textit{when x = 80, what is "y"?}\qquad y=-\cfrac{1}{180}(80-60)^2+50 \\\\\\ y=-\cfrac{20^2}{180}+50\implies y=-\cfrac{20}{9}+50\implies y=\cfrac{430}{9}\implies y=47\frac{7}{9}[/tex]

Jorge ha 173 fih for hi dog led team that he want to divide into maller piece how many piece of fih would there be if jorge divided eachfih into thenth

Answers

If the fishes are divided to be in tenths, then the total pieces of fishes that would be available would be 1730

How to solve for the pieces of fish

It is assumed that Jorge has 173 fish that he intends to cut up into smaller portions for his dog sled team.

The amount of fish pieces that would remain if Jorge divided each fish into tenths must be determined.

We are aware that there are 10 pieces to every fish.

There are a total of 173 fish available for the dog.

The product of the number of fish that are available and the number of pieces that each fish is divided into results in the total number of fish.

173 * 10

= 1730 pieces of fish.

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Complete question

Jorge has 173 fish for his dog sled team that he wants to divide into smaller pieces. how many pieces of fish would there be if jorge divided each fish into tenths.

which of the following is a reason why a researcher might choose to conduct a double-blind placebo control group study? a. to control for regression to the mean b. to control for observer bias c. to eliminate testing effects d. to prevent attrition

Answers

A double-blind placebo control group study is used to control for observer bias and eliminate testing effects. So option c is correct.

A double-blind placebo control group study is one in which subjects are randomly assigned to either a control group, who receive a placebo, or an experimental group, who receive the treatment being studied. The researcher is not aware of which subjects are in which group, and neither are the subjects. This design is used to control for observer bias and eliminate testing effects.

This type of study is important because it allows researchers to test the efficacy of a new treatment without the risk of bias. By eliminating the possibility that the researcher or the subjects will know who is receiving the treatment and who is receiving the placebo, any expectations or preconceptions about the treatment can be avoided. This type of study is also important because it helps to control for the placebo effect, which is the phenomenon whereby subjects in the control group may experience some benefits from the placebo itself.

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An expression is shown.

4x+2(9−3x)

Select all that are equivalent to the given expression.
-18x+54
-2(x-9)
-18(x-3)
10x+18
2(5x+9)
-2x+18

Answers

Answer:

-2x+18, and -2(x-9)

Step-by-step explanation:

4x+18-6x

4x-6x+18

-2x+18

-2(x-9)

-2x+18

help meeeeeeeeeeeeeee pleaseee

Answers

The following are features of the parabola shown in the diagram:

Vertex:  (2, -1)

Axis of symmetry: x = 2

The parabola opens downward.

What is the Vertex of a Parabola?

The vertex of a graph is the coordinates of the point where the tip of the parabola lies at.

What is the Axis of Symmetry of a Parabola?

The axis of symmetry of a parabola passes through the vertex and is it expressed as the x-coordinate of the vertex of the parabola.

The tip of the parabola shown in the image above is at (2, -1), and the parabola as can be seen opens downward.

Therefore:

The vertex of the parabola is (2, -1)

The axis of symmetry would be expressed as x = 2. The parabola opens downward as well.

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jacob has a jar of nickels and dimes. he has twice as many nickels as dimes. he has 310. how many of each type of coin does he have

Answers

No. of coins in jar of nickels is 207 and of dimes is 103.

Let the no. of coins of dimes = x

No. of coins of nickels = 2x

Total = 310

x + 2x = 310

     3x = 310

       x = 310/3

          = 103.33

          ≈ 103

No. of coins of dimes = 103

No. of coins of nickels = 310 - 103

                                     = 207

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A store received shipment of 37 tvs valuad at 625 each what is the total value. Of the shipment

Answers

A store received shipment of 37 tvs valued at 625 each what is the total value of the shipment?

37 * $625 = $23,125

The Coast Guard cutter Angelica travels at 30 knots from its home port of Corpus Christi on a course of 95 degrees for 2 hrs and then changes to a course of 185 degrees for 2 hrs. Find the distance and the bearing from the Corpus Christi port to the boat.

Answers

The distance and bearing of the boat from the port areas follows;

The boat is locates at approximately 157.15 kilometers and on a bearing of 150° from the port.

What is a bearing in mathematics?

A bearing in mathematics is an angle that is measured clockwise, from the north or y-axis direction.

The speed at which the Coast Guard cutter travels = 30 knots

Bearing of the Coast Guard cutter Angelica = 95°

The time the coast guard travels in the initial direction = 2 hours

The direction the Coast Guard cutter changes to = 185°

Time of traveling in the new direction = 2 hours

30 knots = 55.56 km/hr

The distance traveled in the first direction = 55.56 km/hr × 2 hr = 111.12 km

The distance traveled in the second direction = 55.56 km/hr × 2 hr = 111.12 km

From the attached drawing, we have that the figure formed by the path of the Coast Guard cutter is an isosceles triangle

The distance from the port to the location of the boat, given by Pythagorean theorem is; l = √(111.12² + 111.12²) ≈ 157.15

The distance f the boat from the port is approximately 157.15 kilometers

The base angles of an isosceles right triangle are 45°

Therefore, the bearing is 95° + 45° = 150°

The bearing from the port to the boat is 150°

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What is an equation of the line that passes through the point (2,-2)and is perpendicular to the line 5x-2y=4

Answers

Answer:

y=-0.4x - 1.2

One angle of an isosceles triangle measures 80°. What measures are possible for the other two angles? Choose all that apply.

Answers

80°,20° or 50°,50° are possible for the other two angles.

Given:

One angle of an isosceles triangle measures 80°.

we assumed that the 80° is one of the equal angles, then there is another 80° angle.That makes 160°.

Since a triangle always totals 180°,

180° - 160° = 20°.

if the 80° was the only different angle instead,the two remaining angles total:

180 - 80 = 100

Since we have two identical angles remaining, we need only divide the 100° in half to get the final answer:

100/2 = 50°.

Therefore 80°,20° or 50°,50° are possible for the other two angles.

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questions 1-4: the number of classes (x) a student takes in a given semester follows the following probability distribution: x 0 1 2 3 4 5 p(x) 0.4 0.25 0.15 0.08 0.02 ??? what is the expected number of classes a student will take in a given semester?

Answers

The expected number of classes a student will take in a given semester is 1.89

How calculate the expected value of x?

Expected value is defined as the predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.

Given :

x|  0       1        2       3      45  

p| 0.4 0.25  0.15  0.08  0.02

where x = number of classes

p = probability

The expected value of x, E(x) =Σ xp

E(x) = (0×0.4) + (1×0.25) + (2×0.25) + (3×0.08) + (45×0.02)

E(x) = 0 + 0.25 + 0.5 + 0.24 + 0.9

E(x) = 1.89

Therefore, the expected number is 1.89.

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Baby lisa automatically turns her head in the direction of a touch on the cheek. This is the _____ reflex.

Answers

Turning of head is rooting reflex.

Reflex is defined as the action which is performed without thought. In other words, it is an unconscious behaviour or involuntary movement. Newborns have different reflexes such as rooting reflex, moro reflex, stepping reflex, tonic neck reflex and grasp reflex.

Rooting reflex acts on touch. Based on this, babies feed themself. They start sucking when the roof of their mouth is touched. Moro reflex occurs on sudden sound or movement of high intensity. Tonic neck reflex results in fencing position of baby. Grasp reflex is seen when baby closes their fingers and stepping reflex concerns legs.

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what is 15.0782 rounded to
the nearest 10

Answers

Answer:  20

Reason:

The digit in the tens place is 1. Just to the right is 5, which tells us to bump the 15 up to 20.

We can say that 15.0872 is closer to 20, than it is to 10.

Be sure not to mix up "tens place" with "tenths place".

The round-off from the number 15.0782 to the nearest 10 will be 20.

What is rounding off to the number?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.

Given that the number is 15.0782. The round-off to the nearest 10 will be 20 for the number.

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The president of the Huerta Middle School science club suggested a field trip to the local
aquarium. Tickets will cost $21.25 for the club adviser and $14.75 for each student who
goes.
Write an equation showing how the total cost, y, depends on the number of students going,
X.
Do not include dollar signs in the equation.

y =

Answers

The equation that shows the total cost, depends on the number of students going is y = 21.25 + 14.75x

Equation:

An equation is made up of two expressions connected by an equal sign.

For example, y = 3x + 6 is an equation.

Given,

The president of the Huerta Middle School science club suggested a field trip to the local aquarium. Tickets will cost $21.25 for the club adviser and $14.75 for each student who goes.

Here we need to find the equation that shows the total cost depends on the number of students.

Let us consider x be the number of students and y be the cost for x number of students.

Here we know that, there is one club advisor whose ticket cost is $21.25 and the cost per student is $14.75.

So, based on these details, the equation for the total cost is calculated as,

=> y = 21.25 + 14.75x

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6 x 7/8
(six x seven eighth's) This is a review for last year but I forgot how to do it also can you show how you got it please? ​

Answers

Answer:

5 1/4 // 5.25

Step-by-step explanation:

convert 6 into a fraction:6/1 x 7/8

multiply numerators by numerators, and denominators by denominators42/8 (6 x 7 = 42, 8 x 1 = 8)

Simplify the fraction using the Lowest Common Multiples42/8 --> 21/4

convert the improper fraction into a mixed number:5 1/4

OR

5.25

Answer:

  5 1/4

Step-by-step explanation:

You want the product of 6 and 7/8.

Product with a fraction

Your written-out version of the question gives you a clue how to solve it:

  six times seven eighths

The associative property of multiplication lets you rearrange this to ...

  (six times seven) eighths = forty-two eighths

That is, the product is formed by multiplying the integer by the numerator, and expressing the whole thing over the denominator:

  [tex]6\times\dfrac{7}{8}= \dfrac{6\times7}{8}=\dfrac{42}{8}\\\\=\dfrac{40+2}{8}=\dfrac{40}{8}+\dfrac{2}{8}=5+\dfrac{1}{4}\\\\=\boxed{5\dfrac{1}{4}}[/tex]

Improper fraction

The improper fraction is converted to a mixed number by looking at the quotient and remainder from the division: 42/8 = 5 r 2 = 5 2/8 = 5 1/4.

__

Alternate solution

Sometimes, it can be helpful to look at the problem another way.

  6 × 7/8 = 6 × (1 -1/8) = 6 -6/8

  = 6 -3/4 = 5 1/4

The normal price of a train ticket from Ashford to London is £34.20
Ross gets 1/3
off the price of his train ticket
Work out how much Ross pays for his ticket.

guys please help lol​

Answers

Answer:

£22.80

Step-by-step explanation:

To work out how much Ross has to pay for his ticket, you first need to calculate how much the 1/3 of the full price is.
To do this, you divide the 34.20 by 3.
34.2 / 3 = 11.4
So Ross gets a discount of £11.40
To work out the price, that Ross has to pay, we substract the discount from the normal price:
34.2 - 11.4 = 22.8
So Ross pays £22.80 for his ticket.

Fill the empty slots by dragging tiles from the left to show the

next step for solving the equation.

Use the information in the problem to write an equation.

Then use the equation machine to help you solve it.

8 years ago Marcus was 12 years old. How old is he

now?

8

y

8

12

12

Marcus is

years old

Show result

Answers

The age of Marcus now is 20 years as 8 years ago Marcus was 12 years old.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical sentence with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol. 2x - 4 = 2 is an example. x is a variable in the preceding example.

Let his age now be x.

x-8=12

x=20

Marcus is currently 20 years old, although he was 12 years old eight years ago.

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manufacture of a certain component requires three different machining operations. machining time for each operation has a normal distribution, and the three times are independent of one another. the mean values are 15, 20, and 30 min, respectively, and the standard deviations are 2, 1, and 1.8 min, respectively. what is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (round your answer to four decimal places.)

Answers

The probability that it takes at most 1 hour of machining time to produce a randomly selected component  is  0.04074

we are provided  with  the  independent  time which are 15, 20, and 30 min and the respective standard deviations which are 2, 1, and 1.8 min.So the total  mean X= 15+20+30 =65, as we know that

Variance = ( standard deviation )²

=> Variance = 2² + 1² + 1.8² = 8.24

since standard deviation = √variance

=>Standard deviation = 2.87

so the z score = X -mean /standard deviation

since here X = 1 hour = 60 mintues

z = 60-65/2.87 =  -1.74216

So the probability, P( z≤ -1.74216) = 0.04074

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a percentage distribution is given below for the size of families in one u.s. city. size percentage 2 42.8 3 21.1 4 19.2 5 11.6 6 3.3 7 2.0 a family is selected at random. find the probability that the size of the family is 4 or more. round your result to three decimal places.

Answers

The probability that the size of the family is 4 or more rounded to three decimal places is 0.361.

Given that families are selected at random, to find the probability that the size of family 4 we need to select and add those probabilities whose family size is more than and equal to 4.

P(X ≥ 4) = P(4) + P(5) + P(6) + P(7)

P(X ≥ 4) =  19.2 + 11.6 + 3.3 + 2.0

P(X ≥ 4) = 36.1

Since we need the answer rounded off to three decimal places, we can divide the answer by 100 which will give the final answer which is 0.361.

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Select the two values of x that are roots of this equation. x2 + 3x – 5 = 0

Answers

The two values of x which are root of the given equation are; x = (-3 + √29)/2 and x = (-3 - √29)/2.

What are the two values of x which are root of the given quadratic equation?

It follows from the task content that the two values of x which are roots of the given quadratic equation be determined.

Recall that the roots of quadratic equations are given by the formula;

x = {-b ± √(b² - 4ac)} / 2a

Since the given equation is; x² + 3x - 5; it follows that; a = 1, b = 3 and c = -5.

Therefore, the roots are as follows;

x = {-3 ± √(3² - 4•1•-5)} / 2(1)

x = (-3 ± √29)/2

Therefore, the required roots are;

x = (-3 + √29)/2 and x = (-3 - √29)/2

Ultimately, the roots of the given quadratic equation x² + 3x - 5 are; x = (-3 + √29)/2 and x = (-3 - √29)/2.

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(sec(t)-cos(t))/sin(t)

Answers

The simplification of the trigonometric expression (sec(t) - cos(t))/sin(t) is; tan (t)

How to simplify trigonometric ratios?

There are different trigonometric ratios such as;

sin x

tan x

cos x

sec x

cosec x

cot x

Now, we want to simplify the trigonometric expression;

(sec(t) - cos(t))/sin(t)

We know that;

sec (t) can be written as 1/cos t

Thus;

(sec(t) - cos(t))/sin(t) = [(1/cos t) - cos t]/ sin t

= (1/(sint cos t) - cos t/ sin t

= (1 - cos²t)/(sin t cos t)

= sin²t/(sin t cos t)

= sin t/cos t

= tan t

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when performing a health history on a client, the client states that they have been living in a shelter for 2 months. what should the nurse determine the client is experiencing? technician a says that fuel pump modules are spring-loaded so that they can be compressed to fit into the opening. technician b says that they are spring-loaded to allow for expansion and contraction of plastic fuel tanks. who is right? Did sun wukong / monkey king use cloning? How? 100 points and brainlest if answer is right The point P has co-ordinates (10, 12) and the point Q has co-ordinates (2,-4). Find (a) the co-ordinates of the mid-point of the line PQ,. A ball rolls down a ramp for 5 seconds. If the ball started with no speed and ended with a speed of 15 m/s, what was the acceleration of the ball? A drawer of shirts contains 3 solid red, 2 striped red, 4 solid blue, and 3 striped green. What is the probability of picking a shirt that is red or striped? What are the primary forces that act upon a baseball and a bat during their collision with each other A. The force of ball on bat and the force of gravity ballB. The force of gravity on the bat and the force of friction on the ballC. The normal force of the ball and the force of friction on the bat D. The force of ball on bat and the force of the bat on ball The meeting of the estates-general in 1789 marked a significant step toward revolution in france because it?. What expression is equivalent to -6(t+9) kinetic energy problem an 82-kg stunt man falls off the top of a large building. after falling for 65 meters he has a speed of 22 m/s. assuming he was initially at rest, what was the average force of air resistance exerted on the stunt man during his fall? Two year ago ernest dorsey purchased a used sports coupe for 8000.00 that is now worth 6000.00 last year he drove it 13569 miles and kept a record od all expenses. His variable costs were gasoline $1589.56 oil changes $245.98 and repairs $548.11 his fix costs were insurance $1105.32 and license $85 find de cost per mile if the reaction tube is washed with water but not dried thoroughly, what side product is formed (draw the reaction in pen and name the product)? 3. Tina needs to build a fence. The fenceis 30 feet long and 20 feet wide. Sherealizes she needs more so she increasesthe length and width by x feet. Create an expression that represents the perimeterfor the fence. Select the correct answer. What was the intended purpose of federal legislation such as the 1947 Taft-Hartley Act? A. to prevent labor unions from recruiting new members B. to weaken existing labor laws that benefited unions C. to allow labor unions to finance pro-worker political candidates D. to increase the power of labor unions to negotiate for fair wages In a card game, Bryce scores three times as many points as Jordan. Jordan scores four points fewer than Keturah, and Keturah scores two times as many points as Amelia.If Amelia scores 5 points, how many points did Bryce score?Group of answer choicesA. 6B. 10C. 18D. 5 an engineer wants to write out the instructions for an algorithm without yet implementing those steps using a programming language. in this scenario, the engineer would want to use . a.) html b.) a network c.) just-in-time compiling d.) pseudocode Solve for an angle in right trianglesI just need the answer :) rewrite this so it does not have fractions During the English Renaissance, humanistic ideals placed an emphasis on subjects such as love,science, and philosophy. In what ways do you see humanism reflected in John Donne's "AValediction: Forbidding Mourning"? Identify and analyze two examples from the poem that illustrateJohn Donne's engagement with humanist themes, evaluating their impact on the reader.