Santana is plotting points on a graph. The ratio of y-value to x-value is 33 to 44 for each point. What will be the
x-value of a point with a y-value of 12
12?

Answers

Answer 1

If the value of y will be 12 then the value of x will be equal to 16.

What is ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the given in information in the question,

The ratio of y-value to x-value is,

= 33:44.

In a simplified way, it can be written as,

= 3:4

So, if the value of y is 12, then let's assume that of x-value is p.

As we know that the ratio must be the same.

3 : 4

12 : p

Apply cross-multiplication method:

3p = 4 × 12

p = 48 ÷ 3

p = 16

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Related Questions

Two less than seven times a number is the same as ten times the same number increased by 1. What is the
number?

Answers

Answer:

x = -1

Step-by-step explanation:

first, create a formula or expression:

7x - 2 = 10x + 1

now, move the 10x, subtract it on the other side

-3x - 2 = 1

add 2

-3x = 3

divide by -3

x = -1

you can substitute it in to check

Complete the proof that m

Answers

Using properties of parallel line we can prove that

m ∠QSR + m ∠UVX =180°.

How to prove this

Properties of Parallel Lines

The fundamental characteristics listed below make it simple to recognize parallel lines.

Straight lines that are always the same distance away from one another are called parallel lines.

No matter how far apart they are from one another, parallel lines can never intersect.

Given:

We have to prove that m ∠QSR+ m ∠UVX=180°.

Now, using parallel line property

<QSR = <SUV ( corresponding angle).........(1)

and, <SVU + <UVX = 180 (linear pair)

<QSR + <UVX = 180 ( from (1))

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Complete the proof that m

El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos

Answers

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Pregúntales a tus compañeros qué compraron para el almuerzo ayer. Anota las respuestas. Después escribe un resumen de los resultados

Answers

Answer:

"Que compraste para el almuerzo ayer?"

"yo me compre una torta de huevo" = i bought an egg sandwich

"yo no compre nada porque comi cereal en la manana"= I didn't buy anything since i had eaten cereal in the morning

A survey of 137 randomly selected students at one college showed that only 86 checked their campus email account on a regular basis. Construct a 98% confidence interval for the percentage of students at the college who do not check their email account on a regular basis. Round to one decimal place.

Answers

Answer:

2 %

Step-by-step explanation:

Multiply
(8X + 8)(8x2 + 3x + 7)
(Simplify your answer.)

Answers

Step-by-step explanation:

8x^3 + 24x^2 + 56x + 64x^2 +24x +56

8x^3 + 88x^2 + 80x +56

Answer:

64x^3+88x^2+80x+56

Step-by-step explanation:

(8x+8)(8x^2+3x+7)

64x^3+24x^2+56x+64x^2+24x+56

64x^3+24x^2+64x^2+56x+24x+56

64x^3+88x^2+80x+56

What is the translation from
a) shape X to shape Z?
b) shape Z to shape X?

What is the translation froma) shape X to shape Z?b) shape Z to shape X?

Answers

The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

What are the translation rules?

The four translation rules are defined as follows:

Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.

For the composition of translations, we add the coordinates, hence:

-2 + 7 = 5.5 - 3 = 2.

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

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To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.

Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)

Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)

Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)



Please only responded if you know how to do it, will give the brainiest to however answers it correctly

Answers

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is mZDEF?

Answers

Answer: \(m\angle DE F=90^{\circ}\)

Step-by-step explanation:

The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).

The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).

Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).

Cory is saving for his son's college education. If the savings account earns 2.8% interest
compounded monthly, and he wants to have $25,000 in 18 years, what must the principal
be? Round your answer to the nearest dollar.

Answers

Answer:

principal is $15112

Step-by-step explanation:

25000=P(1+ 0.028/12)^(12times18)

The principal amount of the savings is $15111.6

How to determine the principal amount?

The given parameters are:

Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthly

Amount is calculated using:

A = P(1 + r/n)^nt

So, we have:

25000 = P(1 + 2.8%/12)^(12 * 18)

Make P the subject

P = 25000/(1 + 2.8%/12)^(12 * 18)

Evaluate the expression

P = 15111.6

Hence, the principal amount is $15111.6

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John charges $90 per hour for a landscaping job that takes 12 hours to complete. A helper is paid 14 of the total amount that John charges. Which THREE statements are true for this situation?

Answers

Answer:

A

Step-by-step explanation:

Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7

Answers

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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A movie theater has 287 crates of popcorn. Each crate holds 6 pounds of popcorn. There are 15 people who work at the theater. How many pounds of popcorn are there altogether?

Answers

Answer: 1,722 pounds

Work: 287x6=1,722

3-8(7-5n)

Solve for n

Answers

I hope this helps you:))
3-8(7-5n)Solve for n

Misty’s surgery lasted 214 hours. Convert the time to seconds.

Answers

Answer:

770,400

Step-by-step explanation:

770,400 seconds

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. Data at the ratio level cannot be put in order.

Answers

Answer:

False

Step-by-step explanation:

The statement is a false statement. We're asked to rewrite it as a true statement if it were false. Since it's false, we then try to rewrite it as a true statement, in so doing we are going to have it like this

"Data at the ratio level can be placed in a meaningful​ order."

Now we've successfully written it as a true statement

Graph the solution to the equation y=1/4+2 and y=–2x–7

Answers

Answer:

Step-by-step explanation:

y= 1/4x+2

y=-2x-7

Graphs below

Graph the solution to the equation y=1/4+2 and y=2x7
Graph the solution to the equation y=1/4+2 and y=2x7

A trellis is a system of overlapping wooden slats
created for a vegetable or flower vine to grow on.
What must be the value of x so that the two slats will
be parallel? What is the angle measure at that
location? Show and explain all work using
mathematical language.

A trellis is a system of overlapping wooden slats created for a vegetable or flower vine to grow on.

Answers

For the angles to be parallel, the value of x is of x = 28, and the angle is of 132º.

What is needed for the slats to be parallel?

The angles need to have the same measure. Their measures are of 3x + 48 and 6x - 36, hence:

3x + 48 = 6x - 36

3x = 84

x = 84/3

x = 28.

Hence the measure of the angle is:

3x + 48 = 3 x 28 + 48 = 132º.

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Which equation describes the line that goes through the point (- 5, 1) and has a slope of 1? A. y + 1 = x - 5 B. y + 5 = x - 1 C. y - 1 = - 5(x - 1) D.y y - 1 = x + 5

Answers

Answer:

D) y - 1 = x + 5

Step-by-step explanation:

(-5,1)

y - 1 = x + 5 ---> 1-1= -5-5

1-1= -5-5

 0=0

The equation y - 1 = x + 5 is the line that passes through the point (- 5, 1) and has a slope of 1.

How to find the slope of the line?Use the formula m = (y2 - y1) / to calculate its slope (x2 - x1). The point-slope form of a line can be used to solve the following equation: y - y1 = m(x2 - x1) (x2 - x1).Ascertain the coordinates of two line points. Determine the y-coordinate difference between these two points (rise). Determine the difference in x-coordinates between these two points (run).Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.The slope of a line is characterized as the change in y coordinate in relation to the change in x coordinate. The net change in the y-coordinate is represented by y, while the net change in the x-coordinate is represented by x.

Therefore,

y - 1 = x + 5

(-5,1)

y - 1 = x + 5 ---> 1 - 1 = -5 - 5

1 - 1 = -5 -5

0=0

Hence, The equation y - 1 = x + 5 is the line that passes through the point (- 5, 1) and has a slope of 1.

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4. Draw a set of shapes where 3/4 of the shapes are squares.​

Answers

Each shape is 1 whole. Estimate to divide each into equal parts (do not draw fourths). Divide each whole using a different fractional unit.

Images has been attached showing 3/4 of the shapes are squares.

Given that,
To draw a set of shapes where 3/4 of the shapes are squares.​

What is congruent geometry?

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

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
There are 3 squares and 1 nonregular quadrilateral, total = 4
the ratio of 3 squares to the total shapes = 3 / 4

Thus, Images has been attached showing 3/4 of the shapes are squares.

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4. Draw a set of shapes where 3/4 of the shapes are squares.

Can you please help me faster please help me if you know???!!!

Can you please help me faster please help me if you know???!!!

Answers

We want the probability of her coffee being large given she ordered a hot drink.
First we find the sum of the customers with hot drinks:
22+5+48=75
The probability of the drink being large given that it’s a hot drink is:
Large hot drinks/sum of hot drinks= 22/75= 0.293333...≈ 29%.

Answer:

29%

Step-by-step explanation:

5+48+22=75

22/75=0.2933

nearest % is 29%

Please help i will give brainliest to one who answers

You and a friend work at a job, The job paid $20 and you and the friend have to split it evenly, except your friend must make $1.00 more. How much will each of you get?

please help i will give brainliest to one who answers

Answers

you get 9 the friend gets 11

20-20=10
10+ 1 =11
The answer is you get 9 dollars and your friend gets 11 dollars

Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.

Make sure to round please.

Answers

The surface area of the cylinder is 948m²

What is surface area of cylinder?

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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A group of volunteers has been collecting toys to deliver to a local charity. Over the last 5 days, the volunteers have collected 425 toys. What has been their collection rate, in toys per day?

Answers

Answer:

Their rate was 85 toys per day.

Step-by-step explanation:

Given equation:

425 ÷ 5

Now, let's solve the equation:

425 ÷ 5= 85

Their rate was 85 toys per day.

pam and mary each baked brownies. pam cut her pan into 6 pieces and gave away 4 of then.Many only cut her pan into 3 pieces and gave away the same amount as pam.show this on the drawing​

Answers

Answer:

sheeeeeeesh

Step-by-step explanation:

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions. CHECK ALL THAT APPLY

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing

Answers

Answer:

A. it would be shifted up

Step-by-step explanation:

Y=MX+B

B is the Y-intercept.

Answer:

a. it would be shifted up

Step-by-step explanation:

the difference between the original and the new function is that the b value is changed from -6 to +8, meaning the y-intercept value has increased. this would shift the graph up by 14.

Given that n=20 what is the value of 3n+2

Answers

Step-by-step explanation:

\(given\)

n = 20

The value of 3n + 2 is

= 3 * 20 + 2

= 60 + 2

= 62

Hope it will help :)❤

3*20+2
60+2
=62


Jxjjdjdksjdjssi

6. (a) Find a recurrence relation for the number of n-digit binary sequences with no pair of consecutive 1s. (b) Repeat for n-digit ternary sequences

Answers

(a) There are 2 sequences of length 1 that fit the bill: 0 and 1. So if \(b_n\) is the number of permissible sequences, then \(b_1=2\).

To the sequence 0, we can attach either 0 or 1 at the end, while the sequence 1 must be followed by 0. Then the permissible sequences of length 2 are 00, 01, and 10, so \(b_2=3\).

Now consider a sequence of length n + 1, of which there are \(b_{n+1}\).

• If the last digit is 0, then we got this sequence by simply joining 0 to one of \(b_n\) sequences. In other words, there are \(b_n\) permissible sequences of length n + 1 that end in 0.

• If the last digit is 1, then the previous digit must have been 0. Put another way, we join 01 to a permissible sequence of length n - 1 (there are \(b_{n-1}\) of them). So there are \(b_{n-1}\) permissible sequences of length n + 1 that end in 1.

These cases are mutually exclusive, so the number of (n + 1)-length permissible sequences is given by

\(\begin{cases}b_1 = 2 \\ b_2 = 3 \\ b_{n+1} = b_n + b_{n-2} & \text{for }n\ge2\end{cases}\)

(b) The reasoning for a permissible ternary sequence is similar. Let \(t_n\) be the number of sequences of length n not containing 11.

We first note that \(t_1 = 3\), since we can have 0, 1, or 2; and \(t_2 =  8\), since we can have 00, 01, 02, 10, 12, 20, 21, or 22.

Consider a sequence of length n + 1 (\(t_{n+1}\) of these).

• If the last digit is 0, then we joined 0 to a permissible sequence of length n. So there are \(t_n\) permissible sequences of length n + 1 ending in 0.

• If the last digit is 1, then the last two digits must be either 01 or 21. Since there are 2 choices for the n-th digit, there are \(2t_{n-1}\) permissible sequences of length n + 1 ending in 1.

• If the last digit is 2, then we essentially have the same situation as if the sequence ended in 0, so there are \(t_n\) sequences of length n + 1 ending in 2.

Then the recurrence for ternary permissible sequences is

\(\begin{cases}t_1 = 3 \\ t_2 = 8 \\ t_{n+1} = 2t_n + 2t_{n-1} & \text{for }n\ge2\end{cases}\)

Bazinga charges $16.50 per hour to dogsit. Complete the table and answer the questions below.
number of hours
charge in dollars
1
16.50
49.50
6
199.00
132.00
8
A Write an expression describing Bazinga's earnings for working h hours.

Bazinga charges $16.50 per hour to dogsit. Complete the table and answer the questions below.number of

Answers

#A

No preliminary values so no y intercept

rate of change =16.5

Equation

y=mxy=16.5x

#2

4-1/2=4.5hours

Put 4.5 in equation

y=16.5(4.5)y=74.25$

#3

Let y be 115.5

Now

16.5x=115.5x=115.5/16.5x=7hours

Answer:

A)  c = 16.5h

B)   $74.25

C)  7 hours

Step-by-step explanation:

Bazinga charges $16.50 per hour to dog sit.

Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:

\(\large \begin{array}{| c | c |}\cline{1-2} \sf number\:of\:hours & \sf charge\:in\:dollars\\\cline{1-2} 1 & 16.50 \\\cline{1-2} 3 & 49.50 \\\cline{1-2} 6 & 99.00 \\\cline{1-2} 8 & 132.00 \\\cline{1-2}\end{array}\)

Part A

As explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50

c = 16.5h

where:

h = number of hours workedc = total charge (in dollars)

Part B

To calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:

⇒ c = 16.5h

⇒ c = 16.5(4.5)

⇒ c = $74.25

Part C

To calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:

⇒ c = 16.5h

⇒ 115.5 = 16.5h

⇒ h = 115.5 ÷ 16.5

⇒ h = 7 hours

WILL GIVE 5 STAR IF CORRECT: Amelia uses her credit card to buy some clothes for $678.34. She can pay off up to $235 per month. The card has an annual rate of 21.7% compounded monthly. How much total interest will she pay? (4 points)


$11.93


$12.27


$24.65


$29.72

Answers

Answer:

chetta es polla airemeris di quana premeria

Step-by-step explanation:

Answer:

Month 1:

Calculate Balance (by adding interest to existing balance): 678.34*(1 + 0.217/12) = 690.606648333333 = 690.61

Make payment: 690.61 - 235 = 455.61

Old Balance: 690.61

New Balance: 455.61

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

Month 2:

Calculate Balance (by adding interest to existing balance): 455.61*(1 + 0.217/12) = 463.8489475 = 463.85

Make payment: 463.85 - 235 = 228.85

Old Balance: 463.85

New Balance: 228.85

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

Month 3:

Calculate Balance (by adding interest to existing balance): 228.85*(1 + 0.217/12) = 232.988370833333 = 232.99

Make payment: 232.99 - 232.99 = 0

Old Balance: 232.99

New Balance: 0

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

Payments Made: 235, 235, 232.99

Number of Payments Made: 3

Total Cost: 235 + 235 + 232.99 = 702.99

Total Cost: $702.99

Total Interest: 702.99 - 678.34 = 24.65

Total Interest: $24.65

Other Questions
please help, dont understand How have the social media helped in making each art from more popular at present than in previous decades An individual can take the myersbriggs type indicator (mbti) twice and end up with different results because the measure lacks _____ reliability you roll a 6-sided die.What is P(prime)?Simplify your answer and write it as a fraction or whole number. 3. Alfred's dialogue, his history of stealing, his reactions to Mr. Carr and to his mother, and his shamelessness all symbolize the A irresponsibility and entitlement of youth. B effect on the youngest of growing up in a large family. C role of honesty and integrity in today's society. D results of inexperience and lack of education. Mernie believes that having pets increases mental and physical well-being. To test this, she gives all of the individuals in one nursing home residence a pet while participants in a second nursing home residence are not given pets. Over two months, she evaluates the residents' mental and physical health on a daily basis. What is the independent variable in this study Is direct variation the same as slope? The receipts section of the cash budget lists ______. Multiple choice question. all cash inflows, except from financing total sales for the period all cash inflows total credit sales Find the volume of the figure. Round to the nearest tenth if necessary. Select all that apply. Relatives of POWSwere told by the military not to speak out about the treatment of prisonerswere allowed to visit their loved ones in North Vietnamorganized the National League of Families of American Prisoners and Missing in Southeast Asiadid not think the North Vietnamese were treating their loved ones humanely True/FalseA. Hyperpolarization increases membrane potential.B. Hyperpolarization increases the likelihood the neuton will fire an action potential.C. Resting potential is only in multipolar neurons.D. Resting potential is negative in glial cells and positive in neurons.E. Resting potential is caused by the influx og Na+. A cell has an emf of 4,5 V.8.1 What does this statement mean? A mortgage of $177,000 is to be repaid by making payments of$1,031 at the end of each month. If interest is 4.67 % per annum compounded semi-annually, what is the term of themortgage? State your answer in years and months (from 0 to 11months).The term of the mortgage is __ year(s) and __ month(s). the device that acts as a connection point between computers and can filter and forward data to a specified destination is called a(n) Someone please help! I need to find the value of X A factor(s) in establishing a required rate of return include: Opportunity cost involved The company's own cost of capital All of the above None of the above Which statement best describes how the story's plot influences the narrator in "Homesick?Andrea's comments about boys pressure the narrator to alter her view of her new school.Analyzing the passengers on the ship allows the narrator to understand Andrea's interest in boys.Hearing that there are no boys on the ship makes the narrator feel more comfortable.Andrea's desire to find boys on the ship causes the narrator to have a more positive opinion of boys. S Z D X All LOGIC CIRCUIT and DIGITAL DESIGN LABORATORY Part 3 1) Given the circuit in Part1, derive the Boolean expression using only NAND gates. 2) Construct the circuit using the LED as its output. a. Connect the resistor to the Logic Gate Output. b. Connect the other end of resistor to the + of LED (longer foot). c. Connect the of LED (shorter) to the GND. 3) Fill in the Truth table and write the effect of the circuit in the LED. Voltages measured Truth Table VA (V) VB (V) Vc (V) A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 blokk 0 1 FELE LED Vx (V) What are the 3 main purposes of a business plan? You accept a new job with a starting salary of $53,000. You receive a 4% raise at the start of your second year, a 5.5% raise at the start of your third year, and an 11.1% raise at the start of your fourth year. (Round your answers to two decimal places.)