need help please. i don't understand

Need Help Please. I Don't Understand

Answers

Answer 1

Answer:

A) oblique hexagonal prism

Step-by-step explanation:

Answer 2

Answer:

right hexagonal prism

Step-by-step explanation:

as seen on the Image below the left one is a right hexagonal prism and the right one is a oblique hexagonal prism.

Need Help Please. I Don't Understand

Related Questions

710 divided by 9
what is the answer please help

Answers

Answer:

78.8888888889 or just round to 79

Step-by-step explanation:

Your welcome. Can you please mark me brainliest please? :)

Answer:

78.8888888889

Step-by-step explanation:

You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%

Answers

The probability in percentage form is P(divisor of 54) = 29.6%

How to find the probability?

The divisors of 54 are:

2, 3, 6, 9 (in the range we care)

Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.

So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:

P(divisor of 54) = 16/54

P(divisor of 54) = 0.296

To write it as a percentage just multiply it by 100%.

P(divisor of 54) = 0.296*100% = 29.6%

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A group consists of seven democrats and eight republicans

Answers

a) The number of ways that four people can be selected from this group of fifteen is: 1365 ways

b) The number of ways that four Republicans can be selected from the eight Republicans is: 70 ways

c) The probability that the selected group will consist of all republicans is: 5.13%

How to solve Permutation and Combination?

The selection of people from a given list can be done in the following way: if we want to select r people from a list of n people, then we can do so in:

nCr = n!/(r!(n - r)!)

In the first part of the question, we don't need to decide on specific people from each group, but in the subsequent parts, it becomes an added restriction.

A. This can be done in:

15C4 = 15!/(4!(15 -4!)

= 1365 ways

B. This can be done in:

8C4 = 8!/(4!(8 - 4)!)

= 70 ways

C. The chances that all are republicans is a measure of the ratio of the answer in the first question to the second:

70/1365 = 0.0513 = 5.13%

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The length of a picture frame is 7 inches more than the width. For what values of x is the perimeter of the picture frame greater than 150 inches?

Answers

Let x be the width of the picture frame. Then, the length of the picture frame is x + 7. The perimeter of the picture frame is 2(x + x + 7) = 4x + 14. To find the values of x for which the perimeter of the picture frame is greater than 150 inches, we solve the inequality 4x + 14 > 150. Subtracting 14 from both sides gives 4x > 136. Dividing both sides by 4 gives x > 34. Therefore, the values of x for which the perimeter of the picture frame is greater than 150 inches are x > 34.

A
Find the value of each determinant:
7 31
19
142
11
7
11
21
55
-8 2
-16 -1 -9
11
9.07 6.02 2.01
-30.7 2.5 3.5 =
3.55 -1.1 2.35

Answers

The determinant of each of the given matrices are:

1) -4269

2) -1988

3) -68.92

How to calculate determinants of Matrix?

The determinant of a matrix is a number that is specially defined only for square matrices. Determinants are mathematical objects that are very useful in the analysis and solution of systems of linear equations.

Thus:

1) [tex]\left[\begin{array}{ccc}7&&31\\142&&19\\\end{array}\right][/tex]

The determinant of this 2 x 2 matrix is:

(7 * 19) - (142 * 31) = -4269

2) [tex]\left[\begin{array}{ccc}7&11&21\\55&8&2\\-16&1&-9\end{array}\right][/tex]

The determinant of this 3 x 3 matrix is:

7((8*-9) - (1*2)) + 11((55*-9) - (2*-6)) + 21((55*1) - (8*-16)) = -1988

3) [tex]\left[\begin{array}{ccc}5.07&6.02&2.01\\-30.7&2.5&3.5\\3.55&-1.1&2.35\end{array}\right][/tex]

The determinant of this 3 x 3 matrix is:

5.07[(2.5 * 2.35) - (-1.1 *  3.5)] + 6.02[(-30.7 * 2.35) - (3.5 * 3.55)] + 2.01[(-30.7 * -1.1) - (2.5 * 3.55)] = -68.92

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I need help with these problems??

Answers

The value of the variable x;

1. x = -4, BC = 4x + 3 = -13

2. x = 72 degrees

3. x = 5/2, SV = 6.5, ZU = 6.4

4. x = 4

5. x = 5

6. x = 3

What are tangent lines?

Tangent are simply described as any straight line that is drawn from the curve at a point but never reaches the center of the circle.

It is also important to note that tangent segments of a circle are equal.

From the information given, we have that;

1. The tangents are;

4x + 1 = 5x - 3

collect the like terms

-x = 4

x = -4

Then BC = 4x + 3 = -13

2. 2x - 1 = 143

collect the like terms

2x = 143 + 1

2x = 144

x = 72 degrees

3. 3x - 1 = 5x - 6

collect the like terms

-2x = -5

x = 5/2

Then,

SZ = ZU =  3(5/2) - 1 = 15/2 - 1 = 6.5

4. 5x² + 10 = x² + 74

collect the like terms

4x² = 64

x² = 16

x = 4

5. 2x + 7 = 5x - 8

collect the like terms

-3x = -15

divide the values

x = 5

6. 3x - 1.2 = 2x + 1.8

x = 3

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Solve two shapes below shown in photo:

Answers

Answer:

1. 69.73 is the Area of the Rectangle. 50.27 is the Area of the Circle. 2. 120 is the area of the parallelogram, 25.13 is the area of the semi-circle

Step-by-step explanation:

For #1, We can to 15 * 8 to get area of what would be the whole rectangle. It is 120. Then, calculate area of the circle, pi * 4^2(4 because the 8 is a diameter. That totals to 50.27 for the circle. Subtract the two, 120-50.27 and you get 69.73 as the area of the shape excluding the circular portion.

For #2, We can apply the same formula for the circle, and divide it by two this time for 25.13 as the circle area. We can use the paralellogram formula of b*h (6*20) and we get 120 for that area. The total for the whole figure on #2 is 145.13 square units.

Note: unit for both is square units, as it is not specified.

After running a 100 meter dash, Jane turns left 40 degrees and walks 60 meter. True or false: she is closer now to her starting position than when she crossed the finish line. What about if Jane turns left 90 degrees or 120 degrees?

Answers

False. When Jane turns left 40 degrees and walks 60 meters, she is farther away from her starting position than when she crossed the finish line.

If Jane turns left 90 degrees or 120 degrees, then she will also be farther away from her starting position than when she crossed the finish line. Turning left 90 degrees or 120 degrees will take her in a different direction, and thus she will be farther away from her starting position than when she crossed the finish line.

Therefore, the given statement is false.

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I need help finding 1=cos(8π)+isin(8π) but it has to be divided by 6. I will give 20 points to whoever answers it.

Answers

Answer: 1/6 = cos(8π)/6 + i*sin(8π)/6

Step-by-step explanation: In the context of complex numbers, the division of 1 by 6 can be accomplished by employing a straightforward procedure that involves dividing both the real and imaginary components by 6.

The mathematical expression 1/6 may be represented in academic prose via the complex number format (cos(8π)/6 + i*sin(8π)/6).

The first text message was sent on December 3, 1992. Two decades later, texting has become one of the most popular methods of communication. The number, in millions, of SMS messages sent per year in the United Kingdom is given in the table below. In 2012, the first decrease occurred in the number of SMS messages in the UK and was attributed to the unveiling of Apple’s iMessage on June 6, 2011. Find an exponential model for the number of SMS messages sent annually for years before 2012.

Year 2003 2005 2007 2009 2010 2011

SMS 24086 39751 66331 104358 128462 150651

in

millions

Answers

An exponential model for the number of SMS messages sent annually for years before 2012 is [tex]y = 12421e^{0.2325x}[/tex].

How to determine the equation of line of best fit?

In this scenario, the year would be plotted on the x-axis (x-coordinate) of the scatter plot while the SMS messages would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an exponential equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the year and SMS messages, an exponential equation for the line of best fit is given by

[tex]y = 12421e^{0.2325x}[/tex]

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when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal

Answers

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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David is trying to pick out an outfit for the first day of school. He can choose from 8 pairs of pants, 8 t-shirts, 4 sweaters or hoodies, and 3 pairs of shoes. How many different outfits does David have to choose from?

Answers

The number of the different outfits do David have to choose is 768.

Here we will use the concept of Combinations,

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Different outfits do Damian have to choose, will be;

⇒ 8C₁×4C₁×8C₁×3C₁

⇒ 8×4×8×3

⇒ 768

Hence, the number of the different outfits do David have to select is 768.

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10 points. please answer

Answers

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

What are similar triangles?

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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A virus takes 18 days to grow from 160 to 240. How many days will it take to
grow from 160 to 600? Round to the nearest whole number.

Answers

The virus will thus increase from 160 to 600 in around 10 days.

What is virus ?

A virus is a submicroscopic infectious agent that only reproduces inside of an organism's live cells.

We can resolve this issue using a proportion. Let x be the period of time needed for the virus to multiply from 160 to 600. Then: (240 - 160) / 18 = (600 - 160) / x

This equation may be written as

80/18 = 440/x.

Cross-multiplying:

80x = 18 * 440

80 divided by both sides yields x = 9.9

We obtain x = 10 by rounding to the next full value.

Therefore, The virus will thus increase from 160 to 600 in around 10 days.

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a. what is the length y
b. find out the area of the shaded part

Answers

The value of length y is,

y = 4 cm

And, The area of the shaded part is, 20 cm²

We have to given that;

A figure is shown in image.

Hence, We get;

The value of y is,

y = 4 cm

And, The area of the shaded part is,

⇒ 4 × 5

⇒ 20 cm²

Thus, The value of length y is,

y = 4 cm

And, The area of the shaded part is, 20 cm²

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Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 10 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 8602 dollars. How much did she invest at each rate?

Answers

The amount she invested at each rate of interest for the simple interest are $39,100 and $78,200.

Given that,

Jolene invests her savings in two bank accounts.

Rate of interest for one account = 6% per year

Rate of interest for the other account = 10% per year

Let x be the principal amount invested in the account yielding 10% interest.

Interest amount = 0.1x

Principal amount in the account of 6% interest = 2x

Interest amount = 0.06 × 2x = 0.12x

Annual interest = $8602

0.1x + 0.12x = 8602

0.22x = 8602

x = $39,100

Amount invested for 10% interest account = $39,100

Amount invested for 6% interest account = 2 × $39,100 = $78,200

Hence the amount invested are $39,100 and $78,200.

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Can you help me with this question?

Kyla finds a pair of roller blades that she would like to purchase. They are originally priced at $110 but are marked 30% off. What is the final price Kyla will pay for the roller blades if the tax rate is 5%?

Answers

Step by step solution

To find the final price Kyla will pay for the roller blades, we first need to calculate the amount of the discount.

Discount = 30% of $110Discount = 0.30 x $110Discount = $33

So Kyla will get a discount of $33 off the original price of $110.

Next, we need to calculate the pre-tax price of the roller blades after the discount.

Pre-tax price = Original price - DiscountPre-tax price = $110 - $33Pre-tax price = $77

So the pre-tax price of the roller blades after the discount is $77.

Finally, we need to calculate the final price Kyla will pay, including the 5% tax.

Tax amount = 5% of $77Tax amount = 0.05 x $77Tax amount = $3.85Final price = Pre-tax price + Tax amountFinal price = $77 + $3.85Final price = $80.85Therefore, the final price Kyla will pay for the roller blades, including tax, is $80.85.
should be £80.85
as 110 x 0.7 =77
77 x 1.05 = 80.85

Solve please! A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

Answers

1. The diagram below shows the net of a pyramid with all its labeled sides.

2. The surface area; S = L + B

3. The total surface area = 22.44 cm².

How do we solve for the total surface area?

To calculate the total surface area, we use the formula to find Area = (1/2) x b x h.

After we've found the area, we say

Total surface area = 1/2 x 2.24 x (3 x 4) + (3)²

= 22.44 cm²

The above answers are based on the full questions below;

A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

1. Draw a net for the pyramid. Label all sides with measurement?

2. Write an expression for the surface area of the pyramid and then find the total surface area

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(Time limit) Tell if the graph is a function or not.
And give me the domain and range.

Answers

Answer:

This graph is not a function.

The domain is -3<x<3.

The range is 1<y<3.

An angle of 60 radians can be converted to an angle of____
degrees. (Give an exact answer as a fraction, not a decimal approximation.)

Answers

Answer:

The angle -90 degrees is equivalent to -π÷2 radians.

How we convert the angle −90∘ into radians?

To convert an angle from degrees to radians, we use the formula: radian measure = degree measure * π/180. In this case, we want to convert -90 degrees to radians. So, we substitute -90 into the formula and get:

radian measure = -90 × π÷180

Simplifying this expression, we can cancel the factor of 90 and get:

radian measure = -1÷2 × π

This means that -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact. The reason why we use radians to measure angles is because they are a more natural unit for measuring angles in calculus and other mathematical contexts.

Therefore, -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact.

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Corellian Engineer needs to develop a new navigation system for its YT-1300 Freighter. They opened the process to competitive bids. The best bid gave the following numbers. (All numbers in millions).

Working -

Total cost estimate for thos project = Programming + Beta Testing + Installation + Final shake down.
= 5,000 + 3,500 + 2,000 + 7,000
= 17,500.
the total cost estimate for this project is $17,500.

What process did Corellian use for this estimate? Choose one.

1.Top down (Macro)

2.Balanced

3.Bottom up (Micro)

4.OMG, my head hurts

Answers

Corellian Engineer used the Bottom up (Micro) approach to estimate the total cost of developing a new navigation system for its YT-1300 Freighter. The total cost estimate of $17,500. So, the correct option is C).

The process that Corellian used for this estimate is the Bottom up (Micro) approach, which involves estimating costs for each component or task in the project and then summing them up to get the total cost estimate.

In this case, they estimated the costs for programming, beta testing, installation, and final shake down, and then added them up to get the total cost estimate of $17,500.

So, the correct answer is C).

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Find​ s(t), where​ s(t) represents the position​ function, v(t) represents the velocity​ function, and​ a(t) represents the acceleration function.​a(t)= -30t+6​, with ​v(0)=8 and ​s(0)=2

Answers

The position function is s(t) = -5t³ + 3t² + 8t + 2.

We have,

To find s(t), we need to integrate the velocity function v(t) since velocity is the rate of change of position with respect to time.

To do this, we need to first find the velocity function v(t) by integrating the acceleration function a(t):

a(t) = -30t + 6

Integrating with respect to t, we get:

v(t) = -15t² + 6t + C1

We are given that v(0) = 8, so we can use this to solve for the constant C1:

v(0) = -15(0)² + 6(0) + C1 = C1

C1 = 8

Now we have the velocity function:

v(t) = -15t² + 6t + 8

To find s(t), we need to integrate v(t) with respect to t:

s(t) = -5t³ + 3t² + 8t + C2

We are given that s(0) = 2, so we can use this to solve for the constant C2:

s(0) = -5(0)³ + 3(0)² + 8(0) + C2 = C2

C2 = 2

Now we have the position function:

s(t) = -5t³ + 3t² + 8t + 2

Therefore,

The position function is s(t) = -5t³ + 3t² + 8t + 2.

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Let X1, X2, ... be IID with mean . Let So O and Sn {k=1 Xk. Let T be a bounded stopping time for the filtration En 0{X1, ..., Xn}. Prove that E[ST] = uE[T]: First show Sk – ku is a martingale. = (Sr] = EL

Answers

To show that Sk - ku is a martingale, we need to show that it satisfies the two properties of a martingale:

Sk - ku is integrable for all k.

For any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku.

First, we show that Sk - ku is integrable for all k:

E[|Sk - ku|] = E[|(X1 + ... + Xk) - k|]

= E[|X1 + ... + Xk| - k] (using linearity of expectation)

≤ E[|X1| + ... + |Xk|] + k (by triangle inequality)

= kE[|X1|] + ... + kE[|Xk|] + k (using linearity of expectation)

= kE[|X1|] + ... + kE[|X1|] + k (since Xi are IID)

= kE[|X1|] + k (since there are k terms)

< ∞ (since E[|X1|] is finite)

Therefore, Sk - ku is integrable for all k.

Next, we show that for any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku:

E[Sk+1 - ku+1 | E0,...,Ek] = E[(X1 + ... + Xk+1) - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) + Xk+1 - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) - k | E0,...,Ek] + E[Xk+1 | E0,...,Ek]

= Sk - ku + E[Xk+1] (by the martingale property of Sk - ku)

= Sk - ku + u (since the mean of X1, X2, ... is u)

Therefore, Sk - ku is a martingale.

Now, we can use the optional stopping theorem to prove that E[ST] = uE[T]:

By the optional stopping theorem, we have:

E[ST] = E[(Sk - ku)(T - k) + Sku]

= E[(Sk - ku)(T - k)] + E[Sku]

= E[E[(Sk - ku)(T - k) | E0,...,Ek]] + E[Sku] (using law of total expectation)

= E[(Sk - ku)E[T - k | E0,...,Ek]] + E[Sku] (using linearity of expectation)

= E[(Sk - ku)(E[T | E0,...,Ek] - k)] + E[Sku] (using law of total expectation)

= E[(Sk - ku)(T - k)] + E[Sku] (since T is a bounded stopping time)

= E[SkT - kuT - kS + ku] + E[Sku]

= E[SkT] - uE[KT] - kE[S] + ku + E[Sku] (using linearity of expectation)

= uE[KT] - uE[KT] - kE[S] + ku + E[Sku] (using the optional stopping theorem)

= ku + E[S(T-k)]

= ku + E[Sk - k^2] (since T is a stopping time)

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I can prove that 2=1, where is the error?

X = 1
X+X = 1+X
2x = 1+X
2x = X+1
2X-2 = X+1-2
2x-2 = X-1
2 (x-1)/(x-1) = X-1/X-1
2 times 1 = 1 1-1 / 1-1
2 = 1

I subtracted -2
because thats the # I chose to subtract with.

Answers

There is no error in steps while proving 2=1

We have to prove 2=1

Let x=1

Add X on both sides

X+X = 1+X

2x = 1+X

2x = X+1

Subtract 2 from both sides

2X-2 = X+1-2

2x-2 = X-1

2(X-1)=x-1

Divide both sides by x-1

2 (x-1)/(x-1) = X-1/X-1

We get 2=1

Hence, while proving 2=1 there is no error in steps

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whats the improper fraction 17/9 as a mixed number

Answers

The improper fraction 17/9 as a mixed number is A = 1 8/9

Given data ,

Let the mixed number be represented as A

Now , the improper fraction is n = 17/9

On simplifying , we get

The improper fraction 17/9 can be converted to a mixed number by dividing the numerator (17) by the denominator (9) and expressing the quotient as a whole number and a proper fraction.

So , A = 1 8/9

Hence , the mixed number is A = 1 8/9

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Which function represents the graph of f(x) = -4 lxl after it is translated 3 units down?

A.g(x) = -4 lxl + 3

B. g(x) = -4 lxl - 3

C. g(x) = -4 lx + 3|

D. g(x) = -4 lx - 3l

Answers

Answer:

B

Step-by-step explanation:

When translating in the y-axis, we want to add or subtract our value outside of the function, or in this case, outside of the modulus.

We want to move 3 units down, or 3 units in the negative direction. Therefore, we take 3 away from the function.

Answer B.

Help!!

how many combinations do I have it I select 4 things from a total of 9 without replacement? (9C4)​

Answers

4 things can be selected from a total of 9 without replacement in 126 times without replacement.

What is Combination?

Combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of selection does not matter.

How to determine this

To calculate the combination without replacement

nCr = n!/r!(n-r)!

9C4= 9!/4!(9-4)!

= 9!/4!(5!)

= 9*8*7*6*5*4*3*2*1/4*3*2*1*5*4*3*2*1

= 362880/24*120

= 362880/2880

= 126

Therefore, it can be combined in 126 times

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3×2×1+3+8+6+7-9-9÷7×0×1=?​

Answers

Answer:

3 × 2 × 1 + 3 + 8 + 6 + 7 - 9 - 9 ÷ 7 × 0 × 1

= 6 + 3 + 8 + 6 + 7 - 9 - 0

= 31 - 9

= 22

Therefore, the value of the expression is 22

Which of the following functions are vertical translations of f(x)=√x?
Select all that apply.
A. K(x)=√√√-5+x
B. n(x) = -7+ √x
C. g(x)=√x -4
D. h(x)=3+√x
E. m(x)=√5x

Answers

The function that are vertical translations of f(x) are; (B), (C), and (D).

Given that f(x) = √x is the square root function.

We know that vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.

Option (A) K(x)=√√√-5+x is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. so, it is not a vertical translation that shifts the graph up or down.

Option (B) n(x) = -7+ √x is a vertical translation of f(x) due to it shifts the graph of f(x) down by 7 units.

Option (C) g(x)=√x -4 is a vertical translation of f(x) since it shifts the graph of f(x) down by 4 units.

Option (D) h(x)=3+√x is a vertical translation of f(x) since it shifts the graph of f(x) up by 3 units.

Option (E)  m(x)=√5x is not a vertical translation of f(x) since it involves multiplying the input of f(x) by a constant factor of 5.

Therefore, the options that are vertical translations of f(x) are; (B), (C), and (D).

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Question 2
Plot the coordinates on the number line provided and then find the coordinate of the indicated point
on a number line that partitions the segment into the given ratio.
(The numbers are not aligned properly to the marks, so redraw the number line.)
A is at -2 and B is at 14. Find the point, T, so that T is three-fourths of the distance from A to B.
-10
5
10

Answers

Note that  in the line graph presented, 3/4 the distance from A to B is 12, thus, t = 12.

what is the explanation about this?

Given:

A (- 2 , 0) and B(14, 0)

Using distance formula,      we can determine the distance between coordinates given:

d    = √ ( (x2 - x1)² + ( y2 - y1) ²)

In this case,  x1 = -2  y1 = 0,

x2 = 14, and y2 =  0.

Substituting these     values into the formula, we get:

d = √(  (14 -   (-2 ) ) ² + (0 - 0) ²)

= √((16)² + (0)² )

= √(256)

= 16

The distanc between the points (-2,0) and (14,0) is 16   units.

Recall that we need to find the position of t which    is 3/4 the distance between A and B.

That is:

3/4 x 16

t = 12.


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