If a card is drawn from a deck and a coin is tossed, what is the probability the card will be a heart and the coin will be tails?

Answers

Answer 1

No idea

Sorryyyyy

I dont know


Related Questions

CAN SOMEONE HELP PLEASE
m4A=42°, b=10, c= 12. What is the length of a to the nearest tenth?

Answers

Answer:

a = 8.1

Step-by-step explanation:

Use the cosine rule:

[tex]a = \sqrt{b^2 + c^2 -2 bc \space\ cosA }[/tex]

Substituting the values:

[tex]a = \sqrt{10^2 + 12^2 -2(10)(12) \space\ cos 42 \textdegree\ }[/tex]

⇒ [tex]a = \sqrt{4 \space\ cos 42\textdegree\ }[/tex]

⇒ [tex]a = 8.1[/tex]

How many heartbeats is 4800 in a day? Put your answer in scientific notation

Answers

Answer:

Step-by-step explanation:

4.8 x 10^3   heartbeats/day

Answer: A humans heart average per minute is 80 then you got one hour 60 x 80 equals 4800

which would be 4.8x 10 over 3 which is your answer

Step-by-step explanation:

Drag each ratio to the correct location on the image. Not all ratios will be used.
Match each ratio of the volumes of two solids to the pair of solids it represents.
3:1
2r: 3h
h: 4r
4r: h
4r: 3h
4:1

Answers

Answer:

cylinder to cone = 3:1

sphere to cylinder = 4r:3h

cone to sphere = h:4r

hemisphere to cylinder = 2r:3h

Step-by-step explanation:

The function f(x) = 5* is reflected over the y-axis. Which equations represent the reflected function? Select two
options.
f(x) = -(5)-*
0x==3(2)
Of(x) = 5(2)
f(x) = 5(5)
f(x) = 5(5)-*

Answers

Step-by-step explanation:

To reflect a function about the vertical axis, just negate the variable.

For example, if we want to reflect this function

[tex] y = log(x) [/tex]

about the y axis or vertical axis, we just make the x negative

[tex]y = log( - x) [/tex]

Another example,

[tex]y = |x| [/tex]

To reflect about y axis or vertical axis,

[tex]y = | - x| [/tex]

So here l,the answer with negative variables are function that are reflected about the y axis.

The options are the first and the fifth option.

Which of the following is correct equation for the trend line in the scatter plot? A. Y= 2/5 x -2 B. Y= 5x-1 C. Y= 5x +5 D. Y= -x+5

Answers

Answer: C. Y = 5x + 5

Step-by-step explanation:

    We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.

    First, we will find our slope. We will use [tex]\frac{rise}{run}[/tex] for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

     -> Slope = 5

   Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

     -> Y-intercept = 5

   Lastly, we will write our equation and decide on an answer.

y = mx + b

y = (5)x + (5)

Y = 5x + 5

             C. Y = 5x + 5

CAN YALL PLEASE WORK IT OUTTT

$18.79 + $2.11 + ‐$1.92 + $17.28

Answers

Answer:

40.1

Step-by-step explanation:

Because the order of operations (Bodmas or Pedmas) tells you to add from left to right. So you would do 18.79 + 2.11 = 20.9, then you would do 20.90 + 1.92 (Add 0 at the end of 20.9) = 22.81. Then you will add 22.81 + 17.28 = 40.1. So your answer is 40.1. Hope this helps!

what is the gradient?
please help

Answers

The gradient of line A is -2. 67

How to determine the gradient

Gradient = slope = Δy/ Δx

We have,

y2 = 3

y1 = -5

x2 = -3

x1 = 0

Substitute the values

Gradient = [tex]\frac{3 - (-5)}{-3 -0}[/tex]

Gradient = [tex]\frac{3 + 5}{-3}[/tex]

Gradient = [tex]\frac{8}{-3}[/tex]

Gradient = -2. 67

Thus, the gradient of line A is -2. 67

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When using BINOM.DIST to calculate a probability mass function, which argument should be set to FALSE?

Answers

The question is incomplete. Please read below to find the missing content.

D) cumulative is an argument that should be set to FALSE.

If we use cumulative =fake then we are able to get a precise probability

If we use cumulative= genuine, we will get less than or equal to possibility.

A sequence of actions wherein the effects are always unsure. I was tossing a coin, deciding on a card from a deck of playing cards, and throwing a cube. occasion. It is a single final result of a test. Getting a Head at the same time as tossing a coin is an occasion.

When using BINOM.DIST to calculate a probability mass function, which argument should be set to FALSE? Select an answer

A) number_s

B) probability_s

C) trials

D) cumulative

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For f(x)=4x+1 and g(x) = x^2 - 5, find (f+g)(x).

Answers

Answer:

(f + g)(x) = x² + 4x - 4  

Step-by-step explanation:

The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x)                                  <----- Original statement

f(x) + g(x)                                <----- Rewrite

(4x + 1) + (x² - 5)                     <----- Substitute the equations in f(x) and g(x)

4x + x² - 4                              <----- Add 1 and -5

x² + 4x - 4                              <----- Rearrange the terms

1. Complete the table to identify habits that you have that both increase and
decrease your risk of being a victim of fraud or identity theft. Write at least three
habits in each column. (6 points)

Answers

Some habits that you can engage in that would increase your risk of being victim of fraud or identity theft are:

Using the same simple password for several online accounts. Not checking your banking and credit card statements regularly. Posting too much of your life on social media.

You can be less at risk of fraud or identity theft if you:

Use multiple passwords for separate accounts. Keep an eye on your credit card and bank statement reports. Update your security and app software often.

How can you avoid being a victim of fraud or identity theft?

When you use the same password for various accounts, all those accounts are at risk if the password is stolen. So using multiple passwords is best.

You should also regularly monitor your credit card statements and bank reports to check for unfamiliar expenses which can be flagged immediately.

Also update your apps regularly as they come with security patches to protect your data. Avoid sharing too much information on social media as these can be used to predict your passwords.

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Help quick! pleaseeeeeee
A) The function ƒ(x) has a steeper slope than g(x).
B) The functions ƒ(x) and g(x) have the same slope.
C) The function g(x) has a steeper slope than ƒ(x).
D) There isn't enough information to determine which function has a steeper slope.

Answers

The slope of the function g(x) is greater than f(x) and so g(x) is steeper than f(x). The correct option is C.

What is a Straight Line Equation?

A straight line equation is represented by y = mx+c, where m is the slope and c is the y-intercept.

m is given by (y₂-y₁)/(x₂-x₁)

From the graph , the y-intercept is 4 and the two points on the line are    ( 0,4) and ( 1,1).

m = -3

c =4

The equation of the function g(x) is g(x) = -3x+4

The slope of the function g(x) is greater than f(x) and so g(x) is steeper than f(x).

Therefore, the correct option is C.

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The line graph on the y-axis is parallel to the x-axis, 3rd quadrant point, and an open downward parabola.

can anyone help?

Answers

Answer:

[tex](x + 5) {}^{2} = - 12(y - 1)[/tex]

How to work out this linear stimultaneous equations

Answers

Step-by-step explanation:

extract the third equation from one of the given equation by making at most one variable with 1 as the coefficient the subject of the equation.[tex] x = 2 - y...........(3)[/tex]now substitute the third equation to the other equation *Not the one you extracted the new equation from*[tex]y = 2 ({2 - y})^{2} + (2 -y ) - 2[/tex]After substituting simplify[tex]y = 2(2 - y)(2 - y) + 2 - y - 2 \\ y = 2(4 - 2y - 2y + {y}^{2} ) + 2 - y - 2 \\ y = 2(4 - 4y + {y}^{2} ) - y \\ y = 8 - 8y + 2 {y }^{2} - y[/tex]Therfore group the terms in the form of a general Quadratic equation.

Murder Rates The data represent the murder rate per 100,000 individuals in a sample of selected cities in the United States. Find the variance and standard deviation. Round your answers to at least one decimal place. Class limits Frequency 5-11 10 12-18 9 19-25 10 26-32 5 33-39 2 40-46 6

Answers

The Sample mean,Sample Variance, Standard deviation is mathematically given as

x=21.66[tex]\sigma=138.52[/tex][tex]\mu=11.769[/tex]

What is the Sample mean,Sample Variance, Standard deviation.?

Generally, the equation for Sample mean is  mathematically given as

[tex]x = \frac{1}{N}(\sum xifi )[/tex]

Where

[tex]\sum xifi=80+135+220+145+72+258[/tex]

[tex]\sum xifi=910[/tex]

Therefore

x=1/42 (910)

x=21.66

Sample Variance

[tex]\sigma = \frac{1}{N-1}(\sum xi^2fi-(\frac{1}{N}(\sum xifi^2 )) )[/tex]

Where

[tex]\sum xi^2fi=640+2025+4840+4205+2592+11094[/tex]

[tex]\sum xi^2fi=25396[/tex]

Therefore

[tex]\sigma = \frac{1}{41}(25396-(\frac{1}{42}(910^2 )) )[/tex]

[tex]\sigma=138.52[/tex]

Standard deviation.

[tex]\mu=\sqrt{\sigma^2}\\\\\mu=\sqrt{138.52}[/tex]

[tex]\mu=11.769[/tex]

In conclusion,

x=21.66

[tex]\sigma=138.52[/tex]

[tex]\mu=11.769[/tex]

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I’m confused on this

Answers

Answer:

x = 25

Step-by-step explanation:

The mistake here is the squaring. When you square one side, you have to do the same on the other side:

[tex]\sqrt{3x+6}[/tex] = 9

[tex](\sqrt{3x+6}) ^{2}[/tex] = [tex]9^{2}[/tex]

3x + 6 = 81

3x = 75

x = 25

[tex]\huge\boxed{x=25}[/tex]

The mistake is in Step 1. The solver should have also squared [tex]9[/tex] when squaring the other side of the equation.

Correctly solving

[tex]\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}[/tex]

Provide the next step to derive the quadratic formula.
Step 1 : ax2+box+c=0
Step 2 : ax2+box=-c
Step 3 : x2 + b/ax=-c/a
Step 4 : ??

Answers

The next step to derive the quadratic formula is x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Step 1:

ax² + bx + c = 0

Step 2:

ax² + bx = -c

Step 3:

x² + (b/a)x = -c/a

Step 4:

x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

The next step to derive the quadratic formula is x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

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Triangles A B C and X Y Z are shown. Sides A C and Z X are congruent. Angles B A C and Z X Y are 35 degrees. Angle X Z Y is 47 degrees. Angle A B C is 98 degrees.

Determine the rigid transformations that will map ΔABC to ΔXYZ.
Translate vertex B to vertex Z; reflect ΔABC across side AB.
Translate vertex X to vertex C; rotate ΔXYZ to align the sides and angles.
Reflect ΔABC across side AB; translate vertex C to vertex X.
Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

Answers

Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

We know that the sum of angles of a triangle is always. In ΔXYZ,

What is the sum angle of the triangle?

[tex]\angle A + \angle B + \angle C=180^0[/tex]

[tex]35^0+\angle Y+47^0=180^0[/tex]

[tex]\angle y=98^0[/tex]

In both triangles, it is noticed that the sides AC and XZ are equal. In given triangles [tex]\angle A=\angle X=35^0[/tex]and.[tex]\angle B = \angle Y =98^0[/tex]

By the AAS rule of congruence, ΔABC and ΔXYZ are congruent triangles, therefore we can transform ΔABC to ΔXYZ. For the transformation of ΔABC to ΔXYZ translate the vertex having the same angle and rotate the triangle to align the sides and angles.

Since vertex X and vertex A have the same angle, therefore we translate vertex X to vertex A and rotate ΔXYZ to align the sides and angles.

Hence the correct option is d.

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Answer:

D: Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

Step-by-step explanation:

edge 2022

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.

Answers

The statement which the diagram shows is that the length of GH is half of the length of KL . Option B

What is the midsegment theorem?

The midsegment theorem holds that any segment that forms the joining midpoints of two sides of a triangle is parallel to half the length of the third side.

It can be seen that the length of GH is half of the length of KL as deduced from the diagram

Therefore, the statement which the diagram shows is that the length of GH is half of the length of KL . Option B

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Fill in the digit on the right side of each equation so that each equation has an integer solution.
A) 35x−11=107....
B)9m+34=68....
C)7965−4m=19....


20 pts

Answers

The digit on the right side of each equation so that each equation has an integer solution are 2.74, 3.78 and 1986.5 respectively.

Equation

35x - 11 = 107

35x = 107 - 11

35x = 96

x = 96/35

x = 2.74

9m + 34 = 68

9m = 68 - 34

9m = 34

m = 34/9

m = 3.78

7965 - 4m = 19

-4m = 19 - 7965

-4m = -7946

m = -7946/-4

m = 1986.5

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Find the length of CD shown in red below. Show all work.

Answers

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

How to calculate the length of an arc

The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the central angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.

If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:

s = [(360π/180) - (52π/180)] · (6 in)

s ≈ 32.254 in

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

Remark

The statement has typing mistakes, correct form is shown below:

Find the length of the arc EF shown in red below. Show all the work.

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Find the length of JH help pls

Answers

Answer:

19 units

Step-by-step explanation:

JM is 40 units, and it is composed of JH and HM. HM is 21 units, and so JH must be the remaining units.

40 - 21 = 19

Brainliest, please :)

Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

Answers

The expression square root of 25/49 can be given as 5/7

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is the non equal comparison of two or more numbers and variables.

The solution to the system of inequalities x – 4y < 4 and y < x + 1 is shown in the graph.

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Answer:

its c

Step-by-step explanation:

HELP QUICKLY PLEASE!!!!!!!!

Answers

Answer: 20

Step-by-step explanation:

     We will set up a proportion to solve.

[tex]\displaystyle \frac{?}{16}=\frac{15}{12}[/tex]

   Now, we will cross-multiply.

12 * ? = 16 * 15

12? = 240

? = 20

=Which composition of transformations will create a pair of similar, not congruent triangles?

a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation

Answers

Option d) is correct, i.e. a rotation, then a dilation. Transformation will create a pair of similar but not congruent triangles.

Which composition of transformations will create a pair of similar, not congruent triangles?

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

When triangle is rotated, than position of angles will change. Aftermath the dilation of the triangle would increase the proportion of the sides, but angles remains equal, by which the triangle remain similar but not congruent.

Thus, a rotation, then a dilation transformation will create a pair of siilar but not congruent triangles.

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Answer:

D. a rotation, then a dilation

Step-by-step explanation:

got it right on edge 23

find the exact value

Answers

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is [tex]\frac{\sqrt{2+\sqrt{3}}}{2}[/tex].

How to find the exact value of a trigonometric expression

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

[tex]\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }[/tex]

[tex]\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }[/tex]

[tex]\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }[/tex]

[tex]\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }[/tex]

[tex]\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is [tex]\frac{\sqrt{2+\sqrt{3}}}{2}[/tex].

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if a cake was sold GH 200 cedis. However, there is a reduction sale of 10% on each cake if you buy 4. Amanda decides to buy 8 cakes, how much would she pay​

Answers

Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.

What is Cost Price?

Cost price is the amount we pay to buy an item at which it is available.

Here,

Selling price of a cake = 200 cedis

Discount because of sale = 10% on each unit.

                                              (Only if 4 cakes purchased at a time)

Amanda purchased 8 cakes

So, Amanda need to pay only 90 percent of the total amount.

Total cost price of 8 cakes for Amanda = (200 X 90%) X 8

                                                                  = 180 X 8

                                                                  = 1440

Thus, Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.

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Need help with Matrices!!

Answers

If I remember how to properly do matrices the answer should be:

-15 10 6
30 25 6
-15 0 16

How do I even do this...

Answers

Answer:

x = 2 ± [tex]\sqrt{15}[/tex]

Step-by-step explanation:

x² - 4x - 11 = 0 ( add 11 to both sides )

x² - 4x = 11

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = 11 + 4

(x - 2)² = 15 ( take square root of both sides )

x - 2 = ± [tex]\sqrt{15}[/tex] ( add 2 to both sides )

x = 2 ± [tex]\sqrt{15}[/tex]

Write the equation of an ellipse with center (-2,-3), vertical major axis of length 14, and minor axis of
length 8.

Answers

Step-by-step explanation:

Since we have a vertical major axis, our ellipse is vertical.

The equation of a vertical ellipse is

[tex] \frac{(y - k) {}^{2} }{ {a}^{2} } + \frac{(x - h) {}^{2} }{ {b}^{2} } = 1[/tex]

where

(h,k) is the center

a is the semi major axis,

b is the semi minor axis

First, let plug in our center

[tex] \frac{(y + 3) {}^{2} }{ {a}^{2} } + \frac{(x + 2) {}^{2} }{ {b}^{2} } = 1[/tex]

Semi means half, so

a is half of 14 which is 7

B is half of 8, which is 4.

[tex] \frac{(y + 3) {}^{2} }{49} + \frac{(x + 2) {}^{2} }{16} = 1[/tex]

please help its confusing me

Answers

Answer:

x=−9 and y=8

Step-by-step explanation:

Let's solve your system by elimination.

2x+3y=6;4x−y=−44

Multiply the first equation by -2,and multiply the second equation by 1.

−2(2x+3y=6)

1(4x−y=−44)

Becomes:

−4x−6y=−12

4x−y=−44

Add these equations to eliminate x:

−7y=−56

Then solve−7y=−56for y:

−7y=−56

-7y/-7 = = -56/-7

(Divide both sides by -7)

y=8

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2x+3y=6

Substitute8 for y in 2x+3y=6:

2x+(3)(8)=6

2x+24=6(Simplify both sides of the equation)

2x+24+−24=6+−24(Add -24 to both sides)

2x=−18

2x/2 = -18/2 (Divide both sides by 2)

x=−9

Answer:

x=−9 and y=8

Answer:

x = -9

y = 8

Step-by-step explanation:

(using substitution)

4x-y = -44

4x + 44 = y

substitute (4x+44) as y in the other equation

2x + 3(4x+44) = 6

2x+12x+132 = 6

14x = -126

x = -9

then plug -9 as x into one of the equations to find y

4(-9) - y = -44

-36-y=-44

-y=-8

y=8

then check the answer by plugging in the values of x and y (-9 and 8) for x and y in one of the equations

4(-9) - (8) = -44

you get: -44 = -44, which is true, so the x and y values are correct

Other Questions
A comprehensive federal health-care reform statute created a Federal Health Policy Board, which was directed to monitor the fees charged for various medical procedures covered by insurance. The board also had the power to subpoena records to determine whether fee increases were a true reflection of cost increases. Nothing in the statute provided for caps on fee increases.Because of the continuing escalation of health-care costs while the statute was being debated, several states had passed health-care legislation on their own. One state passed legislation that prohibited most fee increases of 10% or more per year for specified health-care services covered by insurance, and created a health-care review board to regulate these costs and impose monetary penalties on health-care providers or insurers that tried to circumvent the cap.Which of the following would be the best basis for finding the state provision unconstitutional?A. The federal legislation was passed after the state legislation and therefore supersedes it.B. The Federal Health Policy Board was constituted with many of the same powers as the state board but was not given the power to impose sanctions.C. The state provision impairs existing contracts between health-care providers and insurers in violation of the Contract Clause.D. Health-care fee caps create an undue burden on interstate commerce even in the absence of federal regulation. In an attempt to understand the situation unfolding around her, Julia considered past personal experiences, her involvement with others present, and any assumptions she might have. In doing so, what stage of the perception process was she engaged in 1) the coordination of the human immune system is known as _______? the guid showed the tourist the sight of pokhara (into passive voice) what were the primary motivations and factors that led to the U.S. shift from isolationism and continental expansion to imperialism by the late 19th and early 20th centuries As far as age group go, the worst crash rate involving facilities is the age group of drivers which tax reduction is deducted from the amount of tax to be paid?a.) home mortgage interest b.) donations to chairty c.) medical expenses d.) American opportunity tax credit The term ______________________ refers to a market exchange that affects a third party who is outside or external to the exchange. social costs spillover market failure private costs How can you quickly determine the number of roots a polynomial will have by looking at the equation? what is inversion transformation A rocket uses 400.0 J of chemical potential energy stored in the fuel while shooting the 0.55 kg rocket straight upinto the air. The rocket reaches a height of 23 m. What was the efficiency of the rocket in transforming the chemicalpotential energy of the fuel into gravitational potential energy?Select one:O a. 25%Ob. 35%O c. 31%O d. 29% Hi, I am trying to calculate the dosage of mg i should be taking per night. I am 135 pounds 57. As Chief Executive, the president is constitutionally bound to ________. Group of answer choices submit a balanced budget to Congress. oversee actions of state governments. inform Congress prior to any military action. enforce laws, treaties, and court orders. In which organizational level of life does natural selection occur?A. TissuesB. EcosystemsC. PopulationsD. Organisms Read the excerpt from Outcasts United.A moment later, Fornatee made his way toward Luma. She was standing in a huddle of Under Fifteen players, assigning them their positions. Fornatee tried to blend into the group as if he expected to get a position."Fornatee," Luma said when she saw him, "go away."Fornatee was startled. He froze as the other players turned to look at him."Coach, can I talk to you after?" he asked."Yesgo away," Luma said before continuing with her position assignments. Fornatee walked back to the jungle gym, where Prince and some of his other friends had gathered to watch the scrimmage. He would watch and wait, and try to persuade Coach to take him back.Keeping chronological order in mind, what question would a reader most likely ask after reading this excerpt?Who will win the game between the Fifteens and the Seventeens?Will Luma speak to Fornatee and allow him back onto the team?Will Fornatee watch the scrimmage from the sidelines of the field?Have Fornatee and Prince been friends for a very long time? Which of the following is NOT a precursor to jazz?A.) DixielandB.) RagtimeC.) VaudevilleD.) Blues The three principles of spatial interaction are: Question 24 options: complementarity, intervening opportunity, devolution complementarity, intervening opportunity, irredentism complementarity, intervening opportunity, transferability centripetal forces, intervening opportunity, devolution centrifugal forces, balkanization, devolution Where and when was Mandela born?What was the society of his country like when he was growing up?How did he react to that society?What were some of the major events and turning points of his life? Which event was a major cause of engagement REPORT: ACHIEVEMENTS OF THE INDUSTRIAL REVOLUTIONHere is your goal for this assignment: Write a report analyzing an Industrial Revolution achievement of your choiceChoose one of the following topics as your extended writing assignment for this unit:1. Select one of the inventions of the Industrial Revolution. Describe the background of the invention, the steps leading toits creation, and a description of how it works.2. Research a corporation (in your own city, if possible). List all of the job titles within the corporation, the responsibilities ofeach position, and the manner in which people are chosen for their positions.3. Write a report on the life of one of America's corporate tycoons, showing how he made his way up to his position.Choose from the following list: Rockefeller, Carnegie, J. P. Morgan, Harriman, Vanderbilt, James Hill.You should use three research sources in preparing your typed report of 250 words. Use correct grammar,punctuation, and spelling in the report. List your research sources at the end of the report.