Choose all of the numbers below that are perfect squares. You must select all that apply.



200


361


121


50


225


4



please help meh

Answers

Answer 1

Answer:

361 121 225 4

Step-by-step explanation:

you can square root these numbers to get a whole number


Related Questions

QuESTION 15 Which difficulty of range as measure 0f 'variability is overcome by interquartile range? a. The range is difficult to compute b. The range is influcnced t0o much by extreme values The sum of the range variances is ZEtO d. The range is negative

Answers

The difficulty of range as a measure of variability that is overcome by interquartile range is option b that is The range is influenced too much by extreme values.

What is variance?

The variance is the mean squared difference between each data point and the mean-centered distribution. A statistical assessment of the dispersion of values in a data collection is referred to as variance. Variance explicitly assesses how distant each number in the set is from the mean (average), and consequently from every other number in the set. Variance is a measure of how data points differ from the mean, whereas standard deviation is a measure of statistical data distribution. The primary distinction between the two is that standard deviation is expressed in the same units as the mean of the data, whereas variance is expressed in squared units.

Here,

The interquartile range overcomes the problem of range as a measure of variability. Extreme values have an undue impact on the range.

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HELP I NEED HELP ASAP

HELP I NEED HELP ASAP

Answers

Answer:

what do you need help with what -??

Step-by-step explanation:

what restrictions must be made on , and so that the triple will represent a point on the axis? on the axis? in the plane? in the plane?

Answers

If we fix x = 0 and z = 0 only y coordinate can change. So triple (0, y, 0) can only represent a point in y axis.

What do you mean by a plane?

In geometry, a plane is a surface made up of all the lines that are parallel to one another and connect any two locations on it. It is, in other words, a level or flat surface.

                          A plane is defined uniquely through any of the following in a Euclidean space of any number of dimensions: with the aid of three non-collinear points.

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be a real number

  and z must b 0

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be real number     y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0     y must be real number

  and z must be  a real number

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a square pyramid has a volume of 480 cubic inches and a height of 10 inches. what is the perimeter of the base?

Answers

Answer:

48 in

-------------------

The volume of a pyramid is 1/3 of the product of the base area and height.

V = Bh/3

Find the area of the base:

480 = B*10/3B = 480*3/10B = 144

The base is the square, so each side is the square root of the base area:

a = √Ba = √144a = 12

The perimeter of the base is:

P = 4aP = 4(12)P = 48

Answer: 48 inches

Step-by-step explanation:

480*3=1440

1440/10=144

each side: 12

12*4=48 inches

PLEASE ANSWER THIS IS DUE MONDAY!!! The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller one. When x is the bigger number, find the numbers.

Answers

The numbers are 19 and 71 respectively

How to determine the numbers

Let's call the smaller number "y".

The larger number would be 3 times y plus 14,

Which we can write as 3y + 14.

From the problem, we know that the sum of the two numbers is 90, so we can write an equation:

y + (3y + 14) = 90

Remove the brackets

y + 3y + 14 = 90

So, we have

4y + 14 = 90

4y = 76

Divide both sides by 4

y = 19

So the smaller number is 19 and the larger number is 3 times that plus 14, which is 3 * 19 + 14 = 71.

So the two numbers are 19 and 71.

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I need these 2 questions please!!! And if you can do the bottom one I’ll give you brainliest

I need these 2 questions please!!! And if you can do the bottom one Ill give you brainliest

Answers

Answer:

for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49

Hey!! I need help again!! Ty.

Hey!! I need help again!! Ty.

Answers

Answer:

216

Step-by-step explanation:

the formula for rectangles is LxWxH

so for the giant rectangle, the formula to the area is 4x12x4=192

And the smaller one is going to be 3x4x2=24

So, 192+24=216

6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *

Answers

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

simplify the expression step by step explanation: 80−−√−2 45−−√

Answers

To simplify the expression 80−−√−2 45−−√, we can use the fact that the square root of a number squared is equal to the number itself.

First, we can simplify the expression inside the square root:

80−−√−2 45−−√ = √(80−−2 45−−)

Then, we can simplify the expression inside the parentheses:

√(80−−2 45−−) = √((80−−2) 45−−)

Using the fact that the square root of a number squared is equal to the number itself, we can simplify the expression further:

√((80−−2) 45−−) = √(80−−2 * 45−−) = √(80−−2 * 45)

Finally, we can simplify the expression inside the parentheses:

√(80−−2 * 45) = √(80 * 45) = √(3600) = 60

Therefore, the simplified form of the expression 80−−√−2 45−−√ is 60.

A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the:_________

Answers

A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the: directrix

A parabola is a plane curve formed by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

A parabola is approximately U-shaped.

It is the graph of a quadratic function.

A fix point is called as the focus and a fixed straight line is the directrix of the parabola.

The fixed point does not lie on the fixed line. (i.e., the focus does not lie on the directrix of the parabola).

Therefore, A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the: directrix

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Can someone please HELPPP ILL MARK BRAINLIEST SOLVE 8 PLEASEE

Can someone please HELPPP ILL MARK BRAINLIEST SOLVE 8 PLEASEE

Answers

Answer:

.

Step-by-step explanation:

Ok for this one you need a physical protractor to answer it. Line the protractor against a straight line of the shape and then where ever the line point to on the degree point is the answer. No one can really help you with this online unless you have the actual paper.

Can someone please HELPPP ILL MARK BRAINLIEST SOLVE 8 PLEASEE

in a two-way analysis of variance, what is the population variance estimate for the denominator of the f ratios for the main and interaction effects?

Answers

The population variance estimate for the denominator of the F ratios for the main and interaction effects is built by averaging the estimates of the variation of scores inside each cell.

The results of two independent variables on a dependent variable are revealed by a two-way ANOVA, which is an extension of the one-way ANOVA (analysis of variances).

Numerous fields, including finance, economics, science, medical, and social science, use ANOVA.

The mean of a quantitative variable is estimated using a two-way ANOVA in relation to the values of two categorical variables. When attempting to determine the combined impact of two independent factors on a dependent variable, use a two-way ANOVA.

When you want to determine how two factors affect a response variable and whether or not the two factors interact with the response variable, you should utilise a two-way ANOVA.

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Help a guy out please

Help a guy out please

Answers

Answer:

24.7

Step-by-step explanation:

c² = a² + b²

c² = 9.0² + 23.0²

c² = 81 + 529

c² = 610

c = 24.7

Identify the correct cross section of the regular square pyramid.

Identify the correct cross section of the regular square pyramid.

Answers

The value of correct cross section of the regular square pyramid is a Square as shown in Option C.

We have to given that;

A pyramid is shown in figure.

Since, We know that;

In a given pyramid, the cross section is shown by blue figure.

And, The blue figure is shown a square.

Thus, The value of correct cross section of the regular square pyramid is a Square as shown in Option C.

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Is this right? Please let me know​

Is this right? Please let me know

Answers

Answer:

See below:

Step-by-step explanation:

No, it appears to be incorrect if its based off the image you have provided.

I can help you make it correct though.

I'll take you through 2 steps to solve the problem, one being Equations and another being Graphing.

Equations

So, to find the slope, we need to get an equation. Most slope's are in the \(y=mx+b\)  form which have a few components that we need to know to figure it out.

\(m\) is the slope of the line.\(b\) is the y intercept: (0,b)

Now that we know this, we can start breaking i down and soon begin graphing.

The y intercept is one point that we can use to start the line, as the question says to graph the line, we need to start by using the y intercept as one point on the line which would be (0,6) so that would be one point.

Graphing

To graph the line, we need to find the y intercept and another point. For example, we found the y intercept in the previous section, and it was (0,6). We can find another point by just looking at the slope. The slope of the line is 3 so we would go up 3 right 1 from our point to get our second point.

So, our points would be:

(0,6)(1,9)

Cheers!

Is this right? Please let me know

A stadium has 10,500 seats and eight VIP boxes. The stadium is divided into 12 equal sections to premium sections and 10 standard sections. A seat at the premium section cost $48 per game. AC at the standard section cost $27 per game.  how many more seats are there in each section? If all the seats in the premium section are sold out for a game how many will the stadium get from those tickets sales? PLEASE HELP 44 POINTS!

Answers

There are a couple of questions here, so let's break them down one by one:

How many more seats are there in each section?
The stadium is divided into 12 equal sections. We know that there are 8 VIP boxes, which leaves 12 - 8 = 4 non-VIP sections. We also know that there are 10,500 seats in total. To find out how many seats are in each section, we can divide the total number of seats by the number of sections:
Number of seats per section = Total number of seats ÷ Number of sections
Number of seats per section = 10,500 ÷ 12
Number of seats per section = 875

So there are 875 seats in each section. To find out how many more seats there are in the premium section compared to the standard section, we need to know how many seats are in each type of section. We know that there are 4 non-VIP sections, which means there are:

4 premium sections
10 - 4 = 6 standard sections
To calculate the total number of seats in the premium sections, we can multiply the number of premium sections by the number of seats per section:

Total number of seats in premium sections = Number of premium sections x Number of seats per section
Total number of seats in premium sections = 4 x 875
Total number of seats in premium sections = 3,500

To calculate the total number of seats in the standard sections, we can multiply the number of standard sections by the number of seats per section:

Total number of seats in standard sections = Number of standard sections x Number of seats per section
Total number of seats in standard sections = 6 x 875
Total number of seats in standard sections = 5,250

The difference in the number of seats between the premium and standard sections is:

Difference in seats = Total number of seats in premium sections - Total number of seats in standard sections
Difference in seats = 3,500 - 5,250
Difference in seats = -1,750

This means that there are 1,750 fewer seats in the premium sections compared to the standard sections.

If all the seats in the premium section are sold out for a game, how much will the stadium get from those ticket sales?
We know that there are 4 premium sections, each with 875 seats, for a total of 3,500 seats. We also know that each seat in the premium section costs $48 per game. To calculate the total revenue from selling out all the premium seats, we can multiply the number of seats by the price per seat:
Total revenue = Number of seats x Price per seat
Total revenue = 3,500 x $48
Total revenue = $168,000

Therefore, if all the seats in the premium section are sold out for a game, the stadium will get $168,000 from those ticket sales.

Answer:

There are 875 seats. The stadium got $168,000 from the tickets.

Step-by-step explanation:

So there is more than one question so let's break them down one by one

1). How many seats are there in each section? So the stadium is divided into 12 sections and 8 are VIP boxes so 12 - 8 = 4 so there are 4 non-VIP sections. Now to find out how many seats are in each section we need to divide the number of seats by the number of sections which would be 10,500 ÷ 12 = 875.

2). If all the seats in the premium section are sold out for the game how many will the stadium get from those ticket sales? So first we need to find out how many seats there are in the premium section, we already know that there are 4 premium sections and we also know that there are 875 seats in each section. Multiply the number of sections by the number of seats 4 x 875 = 3,500 now multiply the number of seats by the cost of the seat 3,500 x $48 = $168,000

So the answers are $168,000 and 875 seats

Hope this helped :)

th 2. Derick went to the store to buy a new hover board. The hover board costs $60 but today, he will get a discount of 6.5%. How much money will Derick save? (1 Point) * $390 $53.50 $3.90

Answers

To solve the exercise you can use a rule of three:

\(\begin{gathered} \text{ \$60 }\rightarrow100\text{\%} \\ \text{ \$x }\rightarrow6.5\text{\%} \end{gathered}\)\(\begin{gathered} x=\frac{6.5\text{\%}\cdot\text{ \$60}}{100\text{\%}} \\ x=\frac{6.5\cdot\text{\$60}}{100} \\ x=\text{\$}\frac{6.5\cdot60}{100} \\ x=\text{\$}\frac{390}{100} \\ x=\text{\$}3.9 \end{gathered}\)

Therefore, Derick will save $ 3.9.

nine congruent circles are inscribed in a square with a side length of 126. if a point in the square is chosen at random, what is the probability that the point is not in a circle?

Answers

There is a 21.5% chance that a point in a square with nine congruent circles drawn there won't be within one if it is chosen at random.

It is given to us that :

Nine congruent circles are inscribed in a square

The square has a side length of 126

We have to find out the probability that the point is not in a circle, if a point in the square is chosen at random.

It is known that the square has a side length of 126.

=> Area of the square = \((Length)^{2}\)

=> Area of the square = \(126^{2}\)

=> Area of the square = 15876 ------ (1)

It is also known to us that nine congruent circles are inscribed in the square that has a side length of 126.

=> Diameter of each circle = 126/3

=> Diameter of each circle = 42

=> Radius of each circle = 21  ------ (2)

We know that the area of a circle is given as -

Area of circle = \(\pi r^{2}\)  ------ (3)

where,

r = radius of the circle

Substituting the value of r from equation (2) in equation (1), we have

Area of circle = \(\pi r^{2}\)

=> Area of circle = \(\pi (21)^{2}\)

=> Area of circle = 1385.44

=> Area of 9 circles = 12468.96    ----- (4)

Now, we can say that -

Area not in a circle = Area of square - Area of 9 circles

=> Area not in a circle = 15876 - 12468.96 [From equation (1) and (4)]

=> Area not in a circle = 3407.04    ------ (5)

We know that the probability of a outcome is given as -

Probability = Number of favorable outcomes/Total number of outcomes

So, the probability that the point is not in a circle can be calculated as -

Probability = Area not in a circle/Area of square

=> Probability = 3407.04/15876

=> Probability = 0.215

=> Probability = 21.5%

Thus, if there are nine congruent circles inscribed in a square and a point in the square is chosen at random, the probability that the point is not in a circle is 21.5%.

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Consider an infinitely repeated game in which, in each period, two firms with zero costs choose quantities and prices are given by: Pi = 1 -q1-q2/2, P2 = 1 - q2-q 1/2. Firms have a common discount factor of d = 1/2. a) Explain what a trigger strategy is and determine whether the firms can attain the joint profit maximising outcome in a subgame perfect equilibrium using trigger strategies. b) Explain what a stick and carrot strategy is and discuss whether it is possible to attain the joint-profit maximising outcome in a subgame perfect equilibrium using stick and carrot strategies.

Answers

A trigger strategy is a strategy that specifies an action to take in response to certain observed actions by other players. In this context, a trigger strategy involves cooperating as long as the other player cooperates, but immediately defecting and pursuing a different strategy if the other player deviates from cooperation.

In the given game, the firms cannot attain the joint profit-maximizing outcome in a subgame perfect equilibrium using trigger strategies because there is no trigger that can effectively sustain cooperation in the repeated game. Both firms have an incentive to deviate and lower their price to increase their own profit.

A stick and carrot strategy combines punishment for deviating from cooperation (stick) and rewards for cooperating (carrot). In this case, a stick and carrot strategy could involve punishing the deviating firm by setting a low quantity or price in response to their deviation, while rewarding cooperation by maintaining high quantities and prices. However, it is unlikely to attain the joint-profit maximizing outcome in a subgame perfect equilibrium using stick and carrot strategies because the firms still have an incentive to deviate and lower their price to increase their own profit, even if they face punishments or rewards. Therefore, sustaining cooperation and achieving the joint-profit maximizing outcome is challenging in this repeated game.

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1. if a is an n × n matrix and x is a vector in rn, then the product ax is a linear combination of the columns of matrix a. True or false?

Answers

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It can be used to represent systems of linear equations, transformations in geometry, and a wide range of other mathematical concepts in a compact and organized form.

When you multiply a matrix A (n × n) by a vector x (in R^n), the resulting product Ax is a linear combination of the columns of matrix A.

Here's a step-by-step explanation:

1. Let A be an n × n matrix with columns C₁, C₂, ..., Cₙ, and x be a vector in R^n with elements [x₁, x₂, ..., xₙ]^T (transpose).

2. When you multiply the matrix A by the vector x, the resulting vector Ax can be represented as:

  Ax = A * x = [C₁ C₂ ... Cₙ] * [x₁, x₂, ..., xₙ]^T

3. The multiplication of A and x results in a new vector, where each element is formed by taking the dot product of the corresponding row of A with the vector x:

  Ax = [x₁*C₁ + x₂*C₂ + ... + xₙ*Cₙ]

4. In the resulting vector Ax, you can see that each column of matrix A is multiplied by its corresponding scalar from the vector x, forming a linear combination of the columns of matrix A.

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Determine whether each function has a maximum or minimum value, and find that
value. Then state the domain and range of the function.
7. f(x) = -32 + 6x - 1
3. f(x)=x2 + 3x - 12
9. f(x) = 3x2 + 8x + 5
10. f(x) = -472 + 10% - 6

Answers

Answer:

7 has no minimum or maximum values. The range and domain is (−∞,∞).

3 has no maximum but has a minimum at (-1.5, -14.25). The doman is (−∞,∞) and the range is (-14.25, ∞).

9 has no maximum but has a minimum at (-4/3, -1/3). The domain is (−∞,∞) but the range is (-1/3, ∞).

I'm not sure if the % in question 10 is supposed to be an x, but I will assume it is. The function has no minimum or maximum, and the range and domain are both (−∞,∞).

Step-by-step explanation:

if abby gives $10 to ben, then they will have the same mount of money. if ben gives $20 to abby, then shell have four times as much as he has. how much money does each of them have?

Answers

Answer:

Abby: $60Ben: $40

Step-by-step explanation:

You want to know how much money Abby and Ben each have if when Abby gives $10 to Ben, then they will have the same mount of money. If Ben gives $20 to Abby, then she'll have four times as much as he has.

Setup

The transfers give rise to two equations:

  (A-10) = (B +10)

  (A +20) = 4(B -20)

Solution

Using the first equation, we can write an expression for A:

  A = B +20

This can be substituted into the second equation to give ...

  (B +20) +20 = 4(B -20)

  B +40 = 4B -80 . . . . simplify

  120 = 3B . . . . . . . . . . add 80-B

  40 = B . . . . . . . . . . . . divide by 3

  A = B +20 = 60 . . . . Abby's amount

Abby has $60; Ben has $40.

is 12/7 and 36/21 proportional?

Answers

I was just about to ask that same exact question
yes, 12 x 3 = 36 and 7 x 3 = 21

Solve logx (512) = 3

Show/Explain your thought process
Need help quick please ToT

Answers

The value of x is after solving the logarithm equation logx⁽⁵¹²⁾ = 3 is 8.

What is a logarithm equation?

A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.

To solve the logarithm equation, we follow the steps below.

Given:

logx⁽⁵¹²⁾ = 3

Step 1:

Take log to the other side of the equation.Note: When logarithm cross the equality sign, it becomes an indices.

Therefore,

512 = x³

Step 2:

Convert 512 to index form. (i.e 8³)

8³ = x³...................... Equation 1

Comparing both side of equation 1,

x = 8.

Hence, the value of x is 8.

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0.000957 answers think

Answers

Answer:

9.57 x 10^-4

Step-by-step explanation:

5. An oven is set for 425° F. A pizza is baked
in the oven, then the oven is turned off.
Graph time on the x-axis and the oven
temperature on the y-axis.

Answers

Answer:

ANSWER IS ON MY HEAD

Step-by-step explanation:

THINKING ABOUT IT

A group of 45 students went to the space museum. Tickets cost $11 for each
student. What was the total cost for all of the tickets?
$56
))
$90
1)) $490
1)
$495
Done
8th Grade Science

Answers

your answer is 495 dollars. as 45 times 11 equals 495 being the 45 is students and 11 is price

495, can I have Brainly

WuT this

2[18 -(5 + 3 to the 2nd power) ÷ 7]​

Answers

Answer:

32

Step-by-step explanation:

2[18 -(5 + 9) ÷7]

2[18 -14 ÷7]

2[18 -2]

2[16]

32

Do a line and a point always sometimes or never intesect? Explain.​

Answers

Answer:

Hi! im not sure about the always sometimes one but i could help on the never intersect.

Step-by-step explanation:

so the picture below is 2 lines crossing over each other the never intersect is these 2 lines cannot touch i think, so if they dont touch they would be parallel so one line is exactly the same right next to it so there not touching. i hope this helps :p

Do a line and a point always sometimes or never intesect? Explain.

Answer:

Sometimes, it depends. They intersect when when the point is on the line

Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding

Answers

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Student was identifying the formula of 1 mole of unknown powder. When it was placed on a scale, it was reading 399.91 g/mol. Which ofthe following compounds can it be?A AI(NO3)3B. C3H8C. Fe2(SO4)3D. CaCl2 watson company has monthly fixed costs of $74,000 and a 50% contribution margin ratio. if the company has set a target monthly income of $14,100, what dollar amount of sales must be made to produce the target income? What are the domain and range of the function f of x is equal to the quantity x squared plus 6x plus 8 end quantity divided by the quantity x plus 4 end quantity? For mymom's new exercise program, every two days she jogs two miles and every 5 days liftsweights. On what day will she jog and lift weights on the same day? what is 17 (-1/6) +8 (-1/6) will mark brainliest determine whether the following statement makes sense or does not make sense, and explain your reasoning. i use deductive reasoning to draw conclusions that are not certain, but likely. Please help!! first person with the correct answers will receive a brainliest +50 points for answering! What is the function of mRNA?What is the function on tRNA?Describe what happens during transcription.Describe what happens during translation.Explain how DNA is used to make a protein. In which situation would a formal writing style be most appropriate?A. A postcard to a parent from a student on a class tripB. A text message to a friend with thoughts about a class projectC. A note for a teenager with instructions on how to prepare dinnerD. An email from a journalist to a college professor asking for aninterviewSUBMITTE For the reaction 2 A(aq) --> B(aq) + C(aq), the equilibriumconstant is 4.44 at 25C.The initial concentrations of A(aq),B(aq), and C(aq) are 0.222 M, 0.444 M, and 0.333 M, respectively.What wi Through what potential difference must electrons be accelerated if they are to have (a) the same wavelength as an x ray of wavelength 0.220 nm and (b) the same energy as the x ray in part (a) how many different strings of length 5 can be formed over this alphabet?a. 118b 120c. 124 How does The Diary of Anne Frank contribute to your understanding of the Holocaustand the ways in which we remember the past? a chord is 4cm from the centre of a circle of radius 7cm . calculate the angle subtended by the chord at the centre The sum of a number and negative six greater than 9 If there are 20 volts across a 4 ohms resistor, what is the current? a) 10 A b) 80 Ac) 20 A d) 5 A What is the equation for the cones volume? Larissa practices for a swimming tournamentShe completes her first lap in 31.135 seconds. She completes her second lap 3.129seconds faster than the complete terfirst lapHow many seconds does it take Larissa to complete both laps?seconds Whats the biggest way your life has changed because of the pandemic? Which of these causes mechanical weathering?Group of answer choicesroot action / root wedgingoxygenacidschemicals 1. The following glycolytic enzyme is regulated by phosphorylationpyruvate kinaseglyceraldehyde 3-phosphate dehydrogenasehexokinaseadolase2. Which of the following enzymes catalyzes the first committed step of glycolysisphosphofructokinase Ihexokinasephosphoglucomutaseglucose-6-phosphate isomerase3. Which of the following strategies are used by cells in the coordinated regulation of carbohydrate metabolism?All of the above strategies function in cells to regulate carbohydrate metabolismA change in the expression of metabolic enzymesAn allosteric change in the activity of metabolic enzymesA change in the cellular location of existing metabolic enzymesPhosphorylation or dephosphorylation of an enzyme in a metabolic pathway4. Choose a False statementDifferent enzymes in the same tissue always have similar half-livesWithin a metabolic pathway most reactions operate near equilibrium. Key enzymes operate far from equilibriumIsozymes are different enzymes that catalyze the same reactionATP and AMP are key cellular regulatorsnone of the answers are correct5. Choose a False statement regarding general principles of homeostasis. Steady state is equivalent to equilibriumOrganisms maintain homeostasis by keeping the concentrations of most metabolites at steady stateIn steady state, the rate of synthesis of a metabolite equals the rate of breakdown of this metabolite. Pathways are at steady state unless perturbedAfter perturbation a NEW steady state will be establishednone of the answers are correct