If ΔSTU ≅ ΔHIJ, then what corresponding parts are congruent?

∠I and ∠U
segment TU and segment HI
∠I and ∠S
segment US and segment JH

Answers

Answer 1

Segment US and segment JH are congruent is correct.

What is congruent triangles?

If the three sides and the three angles of both angles are equal in any orientation, two triangles are said to be congruent.

Given:

ΔSTU ≅ ΔHIJ

⇒ All three sides of ΔSTU are equal to all three sides of ΔHIJ.

⇒  ST ≅ HI, TU ≅ IJ and US ≅ JH.

Also all three angles of ΔSTU are same as the angles of  ΔHIJ

⇒   ∠S ≅ ∠H, ∠T ≅ ∠I, and ∠U ≅ ∠J

So, from the given options segment US and segment JH are congruent is correct.

Hence, segment US and segment JH are congruent is correct.

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Related Questions

-19 2/9 - 4 1/9 - (-3 4/9)

Answers

Answer:

= –179/9

or –19 ^8/9

Step-by-step explanation:

–19²/9 –4¹/9 –(–3⁴/9)

–(173/9) –37/9 + 31/9

=L.c.m = 9

–173–37+31/9

= –210+31/9

= –179/9

or –19 ^8/9

i hope i was able to helped

How many baseballs are in the next picture in this pattern?
A. 64
B. 30
C. 32
D. 24
E. 25

Answers

The answer is 32 because it’s being doubled so 16 times 2 is 32.

a dog of this breed weighs 48 pounds. what is the dog's z-score? round your answer to the nearest hundredth as needed. z

Answers

If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg according to given standard deviation.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = x- υ/σ

Given that μ = 55, σ = 6;

For x = 49:

z = 49 - 55/6

z = -1

If the dog has a z-score of -1.09, his weight is:

-1.09 = x -55/6

x - 55 = -6.54

x = 48.46

If the dog has a z-score of 1.09, his weight is:

1.09 = x - 55/6

x -55 = 6.54

x = 61.54

Hence ,If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg

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find the equation of the line that contains the point (1,-1) and is perpendicular to the line x=4 write the line in slope intercept form

Answers

If you take 4=x you can divide it by negative two and find it

Brainlist + 100 points if correct and well explained:
Graph the line 2x − 3y = 12.

a: The graph shows a line through the points 0 comma 4 and 6 comma 0.
b: The graph shows a line through the points 0 comma negative 4 and 6 comma 0.
c: The graph shows a line through the points 0 comma 4 and negative 6 comma 0.
d: The graph shows a line through the points 0 comma negative 4 and negative 6 comma 0.

Answers

Pretty sure it's C!!! :))))))))))))

#10 i need help with my math

Answers

Answer: √6 -8√5

or 15.43905

Step-by-step explanation:

while watching a basketball game of lakers in a cafe near l.a. live, you observe someone who is clearly supporting lakers in the game. what is the probability that they were actually born within 30 miles of l.a. downtown ?

Answers

The probability that the people came for the match live were born within 30 miles be, 0.197

Given, while watching a basketball game of lakers in a cafe near L.A live, we observe someone who is clearly supporting lakers in the game.

we have to find the probability that the person we observed born within 30 miles of L.A downtown.

As, the area of L.A downtown is 15.13 km².

1.6 km = 1 mile

2.56 km² = 1 miles

15.13 km² = 5.91 miles

Probability that the person was born within 30 miles be,

P = favorable area / total area

P =5.91/30

P = 0.197

Hence, the probability that the people came for the match live were born within 30 miles be, 0.197

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Estimate the solution to the system of equations. You can use the interactive graph below to find the solution. \begin{cases} y=-2x-5 \\\\ y=2x-2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ y=−2x−5 y=2x−2 ​

Answers

The solution to the system of equation (x, y) is -3/4 and -7/2

System of Linear Equations

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.

The equations given are

y = -2x - 5 ...eq(i)

y = 2x - 2 ..eq(ii)

Solving this equation,

x = -3/4, y = -7/2

Using a graph to solve this problem, the point of intersection (x, y) is the solution to the equation.

Kindly find attached graph below

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Hugo is going on vacation and taking his dog Pickles along. Pickles eats 4 cups of Hungry Hound dog food each day. Hugo wants to know how many days he can feed Pickles from a 24-cup bag of Hungry Hound. Which equation can Hugo use to find the number of days d he can feed Pickles from the bag.

Answers

The equation that Hugo can use to find the number of days d he can feed Pickles from the bag is 4d = 24.

Which equation can Hugo use to find the number of days?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this situation, Hugo is going on vacation and taking his dog Pickles along. Pickles eats 4 cups of Hungry Hound dog food each day. Hugo wants to know how many days he can feed Pickles from a 24-cup bag of Hungry Hound.

Therefore, the equation to illustrate this will be:

(4 × d) = 24

4d = 24

d = number of days

d = 24/4

d = 6

The number of days is 6.

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which needs to occur on a consistent basis and at regular intervals to determine whether execuatin of goals

Answers

Exercise needs to be consistent and done at regular times. The body can adjust more effectively and swiftly when there is consistency. Exercise should ideally be performed 3-5 times per week.

What is Exercise ?

Exercise is any physical activity done to increase one's physical or mental fitness.

Exercise and physical activity not only aid to enhance physical health but also help to promote mental health.

A healthy mind follows from a healthy body.

By lowering body weight, frequent physical activity lowers the risk of developing serious conditions like heart attack, cardiovascular disease, diabetes, and high blood pressure. Regular exercise revitalizes the body and the mind.

Additionally, it raises energy levels, mood, and sleep quality.

Hence, Exercise must be performed consistently and at regular intervals. When there is consistency, the body can adjust more quickly and efficiently. The ideal number of times to exercise per week is three to five.

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PLEASE HELP 15 POINTS 1. A balloon has a volume of 5.0 L and a temperature of 200 K. What will the volume of the balloon be if the pressure temperature is raised to 373 K? Formula: v1/t1 = v2/t2



2. What was the volume in my tire this morning if I knew the pressure was 80 KPa and now in the afternoon the pressure is 250 KPa and the volume is 3.5 Liters? Formula: p1v1=p2v2

Answers

The volume of the balloon will be 9.3 L and the volume of the tire in the morning will be 10.93 L.

What is heat?

Heat is the result of the movement of kinetic energy within a material or an item, or from a power source to a material or an object. Three ways exist for such transfer of energy to take place: Convection, radiation, and conduction

As per the given information in the question,

1.

Volume, V1 = 5 L

Temperature, T1 = 200 K and,

Temperature, T2 = 373 K

V1/T1 =V2/T2

5/200 = V2/373

V2 = 9.3 L

2.

Pressure, P1 = 80 KPa

Pressure, P2 = 250 KPa

Volume, V2 = 3.5 L

P1V1 = P2V2

80(V1) = 250(3.5)

V1 = 10.93 L

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A truck delivers 568 oranges to grocery stores each week. How many oranges will it deliver in 25 weeks?.

Answers

the truck driver will deliver 14,200 oranges
568x25=14,200

what is the equation of the line on the graph?

Answers

Answer:y=2x+-1

Step-by-step explanation:

y= slopex + y-intercept, the y-intercept is at the point (0,-1) as the y-intercept is when the x coordinate is 0 and the y coordinate gets touched by the y axis, therefore 2x+-1

1. Explain what a polygon is and how it is classified. Give more than one example to justify your answer.
2. What is a one-hundred sided polygon called? Why?
3. Tell whether the following is or is not a polygon and justify your answer:

Answers

Answer:

1. Polygons are flat figures formed by a closed polygonal line and its interior. Any plane figure that is made up of “straight sides” is a polygon.

2.A 100-sided polygon is called a hectogon, centagon or 100-gon. In general, any n-sided polygon with over 12 sides is called an n-gon. While there are other conventions for naming polygons with any number of sides, it is most common to use the n-gon form.

Step-by-step explanation:

how many integers must a set s contain to be certain that at least 35 integers in s have the same remainder when divided by 4?

Answers

Set S should contain 137 number of integers so that at least 35 integers in S have same remainder when divided by 4.

What is pigeonhole principle?

According to the pigeonhole principle in mathematics, at least one container must hold more than one item if n things are placed into m containers, where n > m. As an illustration, if one has three gloves (none of which are ambidextrous or reversible), at least two of them must be right-handed or left-handed as there are three items but only two categories of handedness to classify them into. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

Equating pigeonhole principle :

Given: Set S = {}, least number of integers having same remainder when divided by 4=35

To find: Number of integers  in set S so that at least 35 of the integers in set S have same remainder?

As we know, any number when divided by 4 has following remainder = 0, 1, 2, 3.

Least number of integers having same remainder when divided by 4 = 35.

∴ Number of integers in set S = 35×4

                                                =  140

but 3 is to be subtracted from 140 as it is the last different remainder after which the remainders repeat in manner 0, 1, 2 & 3.

∴ Total number of integers in set S = 140-3  

                                            = 137                                                

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n interval estimation, as the sample size becomes larger, the interval estimate remains the same, because the mean is not changing. gets closer to 1.96. becomes narrower. becomes wider.

Answers

In interval estimation, when the sample size have become larger then the interval estimate then it will becomes narrower. Option (c) is correct.

A large sample of pattern length or decrease variability will bring about a tighter self belief c program interval with a smaller margin of error. A smaller pattern length or a better variability will bring about a much wider self belief c program interval with a bigger margin of error. The stage of self belief additionally impacts the c program interval width. The large your pattern, the greater certain you may be that their solutions genuinely mirror the population.

This suggests that for a given self belief stage, the bigger your pattern length, the smaller your self belief c program language period. The width of the self belief c program interval for an character observe relies upon to a massive volume at the pattern length. Larger research generally tend to provide greater unique estimates of effects (and therefore have narrower self belief intervals) than smaller research.

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Correct Question:

In interval estimation, as the sample size becomes larger, the interval estimate

a). remains the same, because the mean is not changing.

b). gets closer to 1.96.

c). becomes narrower.

d). becomes wider.

Colleen took out a $48,000 student loan with a fixed interest rate to pay for college. Colleen did not make payments on her loan for a period of 7 years. After this time period interest had accrued, resulting in the loan balance increasing to $78,000. a. What is is the 7-year growth factor for the amount that Colleen owes on the loan? Preview b. What is the 7-year percent change for the amount that Colleen owes on the loan? % Preview c. What is is the 1-year growth factor for the amount that Colleen owes on the loan? Preview d. What is the 1-year percent change for the amount that Colleen owes on the loan? % Preview Submit

Answers

a)The 7-year growth factor for the amount on the loan is $4285.71.

b)  7-year percentage change for the amount is 6.25%.

c) 1-year growth factor for the amount $612.244.

d) 1-year percent change for the amount is 0.894%.

a)We know very well that growth factor is ratio of difference of principal amount and loan amount to the time taken, or

Growth factor=(Final loan amount-Initial loan amount)/Total time

=>Growth factor=(78,000-48,000)/7

=>Growth factor=30,000/7=$4285.71

b)To find the percentage change in amount, we need to use initial loan amount and the difference between two amounts, or

  percentage change=((78000-48000)/48000)×100

=>percentage change=[(30000)/48000)]×100

=>percentage change=300/48=6.25%

c)Now, we have already find the growth factor for 7 years, we need to find growth rate in 1 year. So, we use unitary method to find it

=>In 7 years growth factor is=$4285.71

   ∴In 1 years growth factor is=$4285.71/7=$612.244

d)In 7 years percentage change for the given amount is =6.25%

∴In 1 year percentage change for the given amount=6.25/7=0.894%

Hence, answers are a)$4285.71 b)6.25% c)$612.244 d)0.894%

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if a flock of 45 turkeys shows a constant growth rate of 2.3%, how many turkeys will be in the population after 10 years? show your work. how long would it take the flock of turkeys in the above problem to double in population?

Answers

By using the concept of growth, it can be calculated that

Number of turkeys after 10 years  = 57

It took 10 years for the number of turkeys to double

What is growth?

Growth is the increase in the value of an asset or cost or population at a certain rate over a certain period of time.

Original number of turkeys = 45

Rate of growth = 2.3 %

Time  = 10 years

Number of turkeys after 10 years = [tex]45 \times (1 + \frac{2.3}{100})^{10}[/tex]

                                                       = 57

Now,

New number of turkeys = 45 [tex]\times[/tex]2 = 90

[tex]90 = 45 \times (1 + \frac{2.3}{100})^n[/tex]

[tex](1 + \frac{2.3}{100})^n = \frac{90}{45}\\\\1.023^n = 2\\n\ ln (1.023) = ln( 2)\\n \times 0.023 = 0.693\\n = \frac{0.693}{0.023}\\n = 30.1 \ years[/tex]

It took 10 years for the number of turkeys to double

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all problems concern the following wheel, which we shall call q. 1 4 16 64 (a) estimate the probabilities of the outcomes of q. (b) estimate the expected value of q. (c)

Answers

Probabilities of Q are 1,4, 16, 64 are 312 2 8181818 , E(Q)=20.88 and 12.5% information revealed. Wheel is spin twice 0.2815.

When we are not sure about the outcome we can make possible probabilities about the situation. Therefore, it is the maximum and possible chances of something to be happen.

Step 1

Angle of one complete spin = 360°

Q=16=90° Q=6490"

Q=4-450

Q=1=135°

Here

P(Q16) = P(Q= 64)

=90/36

=1/4

Step 2

Expected value E(Q) = xP(x) E(Q) = 1x+4x+16x+64 x2/8

Step 3

c)

We learn Q=4

P(Q=4)=1/8=0.125

12.5 %  information is revealed.

Please refer to solution in this step.

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A gym employee is paid monthly. After working for 3 months,he had earned $4,500. To determine how much money he will make over a six-month period,he created the table below.

1. If he continues to earn at the same rate, how much will he have earned after working 5 months?

2) After how many months will the gym employee have made $19,500?

3) Write an equation to represent the constant of proportionality.

Answers

1. The amount that the employee make in 5 months will be $7500.

2. The number of months that the gym employee have made $19,500 is 13 months.

3. The equation to represent the constant of proportionality is C = 1500m

What is the constant of proportionality?

The constant of proportionality simply shows the ratio of two proportional values that possess a constant value.

Since after working for 3 months, he had earned $4,500. The amount per month will be:

= $4500 / 3

= $1500

The amount in 5 months will be:

= $1500 × 5

= $7500

The number of months that the gym employee have made $19,500 will be:

= $19500 / $1500

= 13 months.

The equation to represent the constant of proportionality is c = 1500m. In this case, c = total amount earned and m = number of months.

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PLS HELP WILL MARK BRAINIEST!!!

Joan has a collection of quarters and nickels worth $2.50. There are 14 more nickels than quarters. How many coins of each type does Joan have?

Answers

Answer: 20 nickels and 6 quarters.

Step-by-step explanation:

           Let q be equal to quarters and n be equal to nickels. We will write a system of equations to help us solve.

      First, we know each quarter is $0.25 and each nickel is $0.05.

0.25q + 0.05n = 2.5

      Next, we know there are 14 more nickels than quarters.

n = q + 14

      We will plug the second equation into the first and solve.

0.25q + 0.05n = 2.5

0.25q + 0.05(q + 14) = 2.5

0.25q + 0.05q + 0.7 = 2.5

0.3q = 1.8

q = 6

      Joan has 6 quarters. We know he has 14 more nickels than quarters, so we will use addition.

6 + 14 = 20 nickels

a random sample of size 81 is taken from an infinite population with a mean of 50 and a standard deviation of 9. find an approximate probability that the sample mean is within 48 and 51 (round off to second decimal place).

Answers

The approximate probability that the sample mean is within 48 and 51 is 0.82.

How to calculate probability?

n = sample size = 81

σ = standard deviation = 9

μ = population mean = 50

Probability is a chance of something event can occur, for this case the probability measure of the chance of sample mean is between 48 and 51 can occur. So, the probability of the sample mean is between 48 and 51 is,

P(48 ≤ x ≤ 51) = P([tex]\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex] ≤ z ≤ [tex]\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex])

= P([tex]\frac{48-50}{\frac{9}{\sqrt{81}}}[/tex]≤ z ≤ [tex]\frac{51-50}{\frac{9}{\sqrt{81}}}[/tex])

= P(-2 ≤ z ≤ 1)

= P(z ≤ 1) - P(z ≤ -2)

using z table and we get,

= 0.8413 - 0.0228

= 0.8185

= 0.82

Thus, the probability is 0.82 for the sample mean is within 48 and 51.

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A survey of all beings on planet Boondin found that 75% preferred alaber juice to all other juices. If 12 beings were surveyed altogether, how many of them preferred alaber juice?

Answers

The number of people who preferred alaber juice is 9 people

How many of them preferred alaber juice?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, the survey of all beings on planet Boondin found that 75% preferred alaber juice to all other juices. If 12 beings were surveyed altogether

Those who preferred alaber juice will be:

= 75% × 12

= 0.75 × 12

= 9

The number of people is 9.

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Let A be the set of all statement forms in the three variables p, q, and r, and let R be the relation defined on A as follows.For all S and T in A, S R T ⇔ S and T have the same truth table.Prove that R is an equivalence relation. Show that it satisfies all the properties you selected in part (a), and submit your proof as a free response.

Answers

We have proved the statement that S≅W by 3 properties reflexive property, symmetric property, and transitive property.

Given that,

Let R be the relation defined on A as follows, and let A be the set of all statement forms in the three variables p, q, and r. S R T⇔ S and T have the same truth table for all S and T in A. substantiate the equivalence of R.

We have to demonstrate that it satisfies each of the properties you choose.

We know that,

By reflexive property,

S ≅ S  means that S has the same truth table as S.

T≅ T denotes that T and T have the same truth table.

By symmetric property,

S ≅T denotes that S and T share the same truth table.

At that time, T and S share the same truth table.

So, T ≅ S

By transitive property,

S≅T and T≅V and V≅W

S shares a truth table with S. Truth table between T and T W's truth table is the same for V and V.

S, T, V, and W all have the same truth table as a result.

S specifically has the same truth table as W.

Then S≅T≅V≅W ---> S≅W

Therefore, We have proved the statement that S≅W by 3 properties reflexive property, symmetric property, and transitive property.

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Veronica's birthday was coming up. Her mother bought six packages of cupcake mix. Each package could make 12 cupcakes. 24 people had planned to attend Veronica's party. How many cupcakes would be available for each guest?

Answers

Answer:

3 cupcakes per person

Step-by-step explanation:

first we need to find the total number of cupcakes so in order to do that we need to multiply the number of mixes and the number of cupcakes each mix would make so:

total number of cupcakes = 6 * 12 = 72

now we can divide it by the total number of people who attended the party  so:

72/24 = 3 cupcakes per person

Does someone know this ?

Answers

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=8\pi \\ r=2 \end{cases}\implies 8\pi =\cfrac{\pi (2)^2 h}{3}\implies 8\pi =\cfrac{4h\pi }{3} \\\\\\ 24\pi =4h\pi \implies \cfrac{24\pi }{4\pi }=h\implies 6=h[/tex]

please help me with my homework Find the values of the variables assuming the figures are parallelograms

Answers

Adjacent angles of a parallelogram are supplementary.

[tex]3x+10+8x+5=180 \\ \\ 11x+15=180 \\ \\ 11x=165 \\ \\ \boxed{x=15} \\ \\ \\ \\ 5y+3(15)+10=180 \\ \\ 5y+55=180 \\ \\ 5y=125 \\ \\ \boxed{y=21}[/tex]

Multiple Choice
1. Write the following ratio in simplest form: 32 min:36 min
08:9
08:36
032:9
128:144

Answers

The following ratio is the simplest form of 32 min: 36 min is 8: 9. The correct option is a.

What is the simplest ratio in maths?

If two quantities of a ratio (i.e., antecedent and consequent) have no common factor (i.e., antecedent and consequent are co-prime), the ratio is said to be in its simplest form or in the lowest term.

The simplest form of the fraction is also known as the reduced form of a fraction. For instance, 34 is the simplest form of a fraction with a common component of one.

32/36 = 8:9. It is divided by 2.

Therefore, the correct option is a. 8:9.

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Answer:

The answer is D

Step-by-step explanation:

I hope it helps!

does anyone know?? please help ​

Answers

Check the picture below.

Find f (5)
quick can someone answer meee

Answers

Answer:

f (5) = 4

Step-by-step explanation:

First we need to find f(x)

To do this we can find the gradient of the line then plug it into the formula for an equation of a line.

using the points on the line, (3,0) (0,-6)

gradient, m :

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

[tex] \frac{0 - ( - 6)}{3 - 0} = \frac{6}{3} = 2[/tex]

therefore the gradient was found to be 2.

Equation of a line:

y - y1 = m( x - x1)

y - 0 = 2( x - 3)

y = 2x - 6

Therefore the function of the line was found to be:

f(x) = 2x -6

so to find f(5) we substitute 5 in the place of x:

f(5) = 2(5) - 6

f(5) = 10 - 6

f(5) = 4

Other Questions
Remy peered over the table at the cake. It looked absolutely delectable. The white frosting was thick and creamy. The beautiful swirls looked like ripples on water and the strawberry decorating the top was plump and ripe. Remy wasnt sure if he would be able to wait until dinner.1. What point-of-view is this story told from?A. First personB. Third personC. Second person2. What text structure is used in the paragraph?A. Compare and contrastB. Cause and effectC. Description3. What text feature is used in this text?A. GlossaryB. CaptionsC. Bold print4. From the context clues used in the text, what can you infer is the meaning of the word delectable?A. DisgustingB. DeliciousC. Exquisite 5. What can you infer will happen next? You may circle more than one answer. A. Remy will eat the pie on the table. B. Remy will eat the frosting at the bottom of the cake.C. Remy will wait until dinner to eat the ca why is the created structure for marriage the only appropriate means for fulfilling god's purposes for sex which educational book by baldassare castiglione provided a treatise on training a young man in the discipline and fashion needed for the courtly ideal of being a gentleman? group of answer choices the prince education of a christian prince utopia the courtier which hypotheses can be used to perform the test in the following scenario? the mean startup time of two competing computers is to be compared to see if they are equal or not. eighteen startup times are randomly sampled from each computer. both populations have normal distributions with known standard deviation. There are 2 types (or 2 ways to perform) of CPR. True False All of the following are examples of FP core privileges for care of infants and children, adolescents, and adults for most illnesses, disorders, and injuries EXCEPT:AdmissionDelivery of babiesDiagnosisTreatmentDelivery of babies What is the relationship between the relative size of an ion to its neutral atom. The region deep to the skin is the __________.a. hypodermisb. dermisc. epidermisd. stratum functionalis Living organisms can be classified as prokaryotes or eukaryotes. Which two structures are common to both prokaryotic and eukaryotic cells?. pls help! picture is below. pls help by pst sunday december 4 , 2022 12:00 p.m. in the proton-proton chain, the mass of four protons is slightly greater than the mass of a helium nucleus. explain what happens to this "lost" mass. an employee is angry with his boss and wants to sabotage the company. to accomplish this he secretly changes some of the values in his boss's copy of the quarterly report. his boss then reads this false data and makes decisions based on this fraudulent information. in this instance, what quality of information security has been damaged? a grating with 532 lines/mm is illuminated with light of wavelength 565 nm. what is the angular separation between the two lines formed in order m What is the first human to live Explain the difference between personal traits and interpersonal skills. the factors that account for an increase in the blood's oxygen-carrying capacity during altitude exposure are: hannah claims that -3 is not a rational number because it is not written as a ratio of integers. is she correct? explain why or why not Red-green color vision is a sex-linked recessive trait Gail (who is heterozygous for red-green color blindness) marries color-blind George If Gail and George have a baby girl, what is the chance that the baby will be color-blind? A. 0% B. 25% C. 50% D. 75% E. 100% Gail has an extra-marital affair with Greg, who has normal color vision. a ferris wheel starts from rest and builds up to a final angular speed of 1.9 rad/s while rotating through an angular displacement of 4.9 rad. what is its average angular acceleration? amp-pnp is a non-hydrolyzable analog of atp that can bind to proteins in a similar manner as atp but is no longer hydrolyzed. predict what would happen to helicase activity if amp-pnp were added to a dna replication reaction.