what number times 3 plus 8 equals 90

Answers

Answer 1

Answer: 27.33.

Step-by-step explanation:

To solve the equation "What number times 3 plus 8 equals 90", we can use algebraic expressions.

Let's assume the unknown number is "x".

The equation can be written as:

3x + 8 = 90

Subtracting 8 from both sides of the equation, we get:

3x = 82

Dividing both sides by 3, we get:

x = 27.33

Therefore, the number that times 3 plus 8 equals 90 is approximately 27.33.


Related Questions

A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political a liation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.58
Are being Independent and being a swing voter disjoint, i.e. mutually exclusive? #### not really, i think there’s a slight connection, a lot of independent voters are also swing voters.
Draw a Venn diagram summarizing the variables and their associated probabilities.

Answers

No, being Independent and being a swing voter is not disjoint that mutually exclusive.

As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;

The 11% of respondents are  identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.

Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.

Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.

The given question is incomplete , the complete question is

A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.

Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?

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What is the equation of the line that passes through (5, -2) and (-3, 4)?

Answers

Answer:

y = (-3/4)x + 7/4

Step-by-step explanation:

Step 1: Define general form of equation of line

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

Step 2: Set up the system to solve for parameters of equation of line

(solve for M and b)

That equation passes 2 points, which are represented in form of (x, y), (5, -2) and (-3, 4).

Substitute these values of x and y into the original equation in step 1:

-2 = 5M + b

4 = -3M + b

Step 3: Solve the system of equations in step 2 for M and b

Subtract 1st equation from 2nd equation:

     6 = -8M

=> M = -6/8 = -3/4

Substitute M back into 1st equation:

=> -2 = 5*(-3/4) + b

=>  b = -2 + 15/4

=>  b = 7/4

=>  The equation of the line that passes through (5, -2) and (-3, 4):

      y = (-3/4)x + 7/4

Hope this helps!

:)

Answer:

Y= -4/3(x-7/2)

Step-by-step explanation:

So first calculate the difference between them,

changes by 8 x units, and -6 y units.

Then substitute them into y/x to find gradient

-6/8 = -4/3

so now we have a part of the equation:

Y= -4/3(x-a)

substitute Y= -2 and x=5 (from (5,-2))

-2= -4/3(5-a)

-2= -20/3+4a/3

Multiply by 3 on both sides

-6= -20+4a

add 20 on both sides

14=4a

a=7/2

use this as the value of a

Y= -4/3(x-7/2)

HELP FAST
What is the volume of the rectangular prism?

A rectangular prism with a length of 7 meters, a width of 4 meters, and a height of 3 meters.

19 m3
25 m3
31 m3
84 m3

Answers

The volume is D) 84\(m^3\).

What is volume?

The space taken up by any three-dimensional solid constitutes a  volume, to put it simply. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Cubic units are used to measure the volume of solids. The volume will be given in cubic metres, for instance, if the dimensions are given in metres.

Here the given rectangular prism length = 7m , Width = 4m and Height = 3m.

Now using Volume of rectangular prism formula then,

V = lwh cubic unit.

=> V = 7×4×3

=> V = 84\(m^3\)

Hence the volume is D) 84\(m^3\).

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Unit test
Which relationships have the same constant of proportionality between y and x as the following table?
20
y
4
32
7
56
8 64
Choose 3 answers:

Unit testWhich relationships have the same constant of proportionality between y and x as the following

Answers

I think the answer is d

This i questions hellllllllppppppppppppppppppppppppppp

This i questions hellllllllppppppppppppppppppppppppppp

Answers

Answer:

I dont understand what you mean by this I questions, but that is the Order of Operations. You use "PEMDAS" to memorize all 4 Order of Operations..

Step-by-step explanation:

how do you recognise a parallel straight line​

Answers

Answer:

lines which don't intersect at any point and having same distance between them at all points

mark me as brainliest ❤️

Parker needs to order some new supplies for the restaurant where he works. The restaurant needs at least 367 glasses. There are currently 151 glasses. If each set on sale contains 8 glasses, use the drop-down menu below to write an inequality representing ss, the number of sets of glasses Parker should buy.

Answers

Answer:

151+8x>_367

Step-by-step explanation:

x=sets of glasses.

151+8x>_367

          ^is greater than equal to i dont

have a sign for that.

In a wind tunnel experiment, the force on a projectile due to the air resistance
was measured at different velocities:
Velocity (100 ft=sec) 0 2 4 6 8 10
Force (100 lb) 0 2.90 14.8 39.6 74.3 119
Find an interpolating polynomial p(t) = a0 + a1t + a2t^2 + a3t^3 + a4t^4 + a5t^5 for these data.
What happens if you try to use a polynomial of degree less than 5?

Answers

To find an interpolating polynomial, we need to fit a polynomial to the given data points. The simplest way to do this is by using the Lagrange Interpolating Polynomial formula:

p(t) = ∑ (y_i * l_i(t))

where y_i = the y-value of the data point

           l_i(t) = Lagrange basis polynomial for data point i, defined as:

            l_i(t) = (∏ (t-t_j)) / (t_i-t_j) for all j ≠ i

Using this formula, we can find the interpolating polynomial for the given data points:

p(t) = 0.0006t^5 - 0.0222t^4 + 0.2436t^3 - 1.0528t^2 + 2.2080t + 2.0400

So the interpolating polynomial for this data is a 5th degree polynomial, which means that it is necessary to use a polynomial of at least degree 5 in order to accurately fit the data.

If we try to use a polynomial of degree less than 5, the polynomial will not fit the data points accurately, and the difference between the polynomial and the actual data points will be significant. This means that the results of the wind tunnel experiment would be inaccurate if we use a polynomial of lower degree.

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State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?

Answers

Answer:

Step-by-step explanation:

C

The lines are have one solution and are consistent and Independent.

What is Consistent and Inconsistent?

Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.

Given:

y = 0.5x

2y = x + 4

Now solving the Above Equation

2(0.5x) = x+ 4

x = x+ 4

0 = 4

and, \(a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4\)

Now, \(a_1/ a_2 = b_1/ b_2\neq c_1/ c_2\)

Then, the lines are have one solution and are consistent and Independent.

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The circumference would ……. For example, a circle with a radius of 3 feet would have a circumference that is about 18 feet. When the radius doubles to 6 feet, the circumference is about ………. feet.

Answers

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Which property is represented by the equation (8 x 5) x 6.75 = 8 x (5 x 6.75)?

Answers

The property represented by the equation (8 x 5) x 6.75 = 8 x (5 x 6.75) is the associative property of multiplication.  The associative property of multiplication states that when three or more numbers are multiplied, the product is the same regardless of the grouping of the factors.

This means that if there are multiple numbers to multiply, it does not matter which numbers you multiply first.Here, both sides of the equation are equal: (8 x 5) x 6.75 = 340.5, and 8 x (5 x 6.75) = 340.5.

This shows that you can multiply the numbers in any order and still end up with the same product. Therefore, this equation represents the associative property of multiplication.

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Can someone help me please?

Can someone help me please?

Answers

/I’m wrong go to the next person

Answer:

-1

Step-by-step explanation:

f(7) = -1

g(-1)=1

10*f(7)+9*g(-1)=10*(-1)+9*1=9-10=-1

Use the equation below to find y , if m =4 ,x=8 and b=-1

Answers

Answer: y = 31

Step-by-step explanation:

The equation of a line is y = mx+b

Plugging in the values, we get

y = 4*8 + (-1)

y = 32-1

y = 31

completing the square.


Which of the following is equivalent to 0 equals 2 x squared plus 8 x minus 24 when completing the square?

Answers

The equivalent expression to 0 equals 2 x squared plus 8 x minus 24 when completing the square is x = 2 or x = -6

How to solve using completing the square method?

0 = 2x² + 8x - 24

divide through by 2

x² + 4x - 12

x² + 4x = 12

x² + 4x + (4/2)² = 12 + (4/2)²

x² + 4x + 16/4 = 12 + 16/4

x² + 4x + 4 = 12 + 4

x² + 4x + 4 = 16

(x + 2)² = 16

Find the square root of both sides

(x + 2) = ±√16

x + 2 = ± 4

x + 2 = + 4 or x + 2 = -4

x = 4 - 2 or x = -4 - 2

x = 2 or x = -6

Therefore, x = 2 or x = -6 is equivalent to 0 = 2x² + 8x - 24 when solved using completing the square method.

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What is the equation in slope-intercept form of the line that passes through the point (6, 1) and is parallel to the line represented by
y = -3x + 2?
Enter your answer by filling in the boxes.

Answers

The answer would be 6x-3

book costs Rs.78 and Peter bought 60 such books . By mistake , the accountant at the store ade the bill by taking the cost of each book to be Rs 12 less . What is difference in this bill ? Peter decided to give that difference to the opkeeper If you were in Peter's place what will you do ? Which of integers is used here ?

Answers

Answer:

1) 990

2) I would have gone to the same shop and returned the extra money to the shopkeeper.

1) cost per book= Rs 78

cost of 60 books= Rs 60×78 = Rs 4680

selling price per book= Rs 78-12 = Rs 66

selling price of 60 books = Rs 66×60 =

Rs 3960

now difference = 4680-3960 = Rs 990

2) I would have returned the money to the shopkeeper as they have earned the money by using their effort and if we try to take their money away from them then their might be some problems. So we should respect their effort and return extra money if we get it.

Are quadrilaterals LMNO and PQRS similar?

Yes, quadrilaterals LMNO and PQRS are similar because a translation and a dilation map quadrilateral LMNO onto PQRS.

Yes, quadrilaterals LMNO and PQRS are similar because a rotation and a dilation map quadrilateral LMNO onto PQRS.

Yes, quadrilaterals LMNO and PQRS are similar because a reflection and a dilation map quadrilateral LMNO onto PQRS.

No, quadrilaterals LMNO and PQRS are not similar because their corresponding segments are not proportional.

Are quadrilaterals LMNO and PQRS similar? Yes, quadrilaterals LMNO and PQRS are similar because a translation

Answers

The correct answer is (d) No, quadrilaterals LMNO and PQRS are not similar because their corresponding sides are not proportional.

What are quadrilaterals?

A quadrilateral is a geometric shape with four sides and four corners.

To be classified as a quadrilateral, its shape must be a closed figure with four straight sides and four interior angles. 

To determine quadrilaterals are similar, we need to check if corresponding angles are congruent and corresponding sides are proportional.

Checking corresponding angles are congruent:

∠ L  to ∠P.

∠M  to ∠Q.

∠ N  to ∠ R.

∠O  to ∠S.

All corresponding angles are congruent. Therefore, quadrilaterals have the same shape.

Check if corresponding sides are proportional.

LM =√((-1 - (-2))² + (4 - 2)²) = √(2² + 2²) = 2√2

MN = √((3 - (-1))² + (4 - 4)²) = √(4²) = 4

NO = √((4 - 3)² + (2 - 4)²) = √(2² + 2²) = 2√(2)

OL = √((-2 - 4)² + (2 - (-6))²) = √(6² + 8²) = 10

PQ = √((4 - 2)² + (-2 - (-6))²) = √(2² + 4²) = 2√5

QR = √((12 - 4)² + (-2 - (-2))²) = √(8²) = 8

RS = √((15 - 12)² + (-6 - (-2))²) = √(3² + 4²) = 5

SP = √((2 - 15)² + (-6 - (-6))²) = √(13²) = 13

LM / PQ = (2√2) / (2√5) = √(8/5)

MN / QR = 4 / 8 = 1/2

NO / RS = (2√(2)) / 5√(1) = (2/5)√(2)

OL / SP = 10 / 13

The corresponding sides are not proportional because they are not all equal or proportional to each other. Therefore, we can conclude that the quadrilaterals LMNO and PQRS are not similar.

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Can someone show me how to do 18 and 19 like with work too

Can someone show me how to do 18 and 19 like with work too

Answers

Answer:

Step-by-step explanation:

Question 18:

arc SRQ = 360° - 98° - 115° = 147°

y = 147°/2 = 73.5°

arc SPQ = 98° + 115° = 213°

x = 213°/2 = 106.5°

Sorry, I don't know how to answer 19.

explain how utility could be used in a decision where performance is not measured by monetary value

Answers

The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

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Use a proof by contraposition to prove that if m and n are integers and mn is even, then m is even or n is even

Answers

m and n are integers such that mn is even, but m and n are both odd. This contradicts the assumption that mn is even, so we must conclude that either m is even or n is even.

Proof:

Assume m and n are integers such that mn is even and m is not even and n is not even.

However, since the product of two odd integers is always odd, this contradicts the assumption that mn is even.

Therefore, it must be true that m is even or n is even.

We assume that m and n are integers such that mn is even, but m and n are both odd. This contradicts the assumption that mn is even, so we must conclude that either m is even or n is even. This is a proof by contraposition, meaning that we have assumed the opposite of what we want to prove and showed that this is not true. This in turn implies that the original statement is true, and so we have proven that if mn is even, then m is even or n is even.

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The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:

The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)

Answers

Answer:

(a) y intercept is approximately 4.3

(b) \(y = 1.5x+4.5\)

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where \(x =0\)

From the attached graph; By observation

\(y \approx 4.3\) when \(x =0\)

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where

\((x_1,y_1) = (9,18)\)

\((x_2,y_2) = (8,16.5)\)

So:

\(m = \frac{16.5- 18}{8 - 9}\)

\(m = \frac{-1.5}{- 1}\)

\(m = 1.5\)

The equation is then calculated using:

\(y =m(x - x_1) + y_1\)

Where: \(m = 1.5\) and \((x_1,y_1) = (9,18)\)

\(y = 1.5(x - 9) + 18\)

\(y = 1.5x - 9*1.5 + 18\)

\(y = 1.5x - 13.5 + 18\)

\(y = 1.5x+4.5\)

The graph below shows the relationship between the number of months different students practiced boxing

A line passes through the point (3,-8) and has a slope of 3. Write an equation in point-slope form for this line.

Answers

Answer:

y+8 = 3(x-3)

Step-by-step explanation:

The point slope form of the equation for a line is

y-y1 = m(x-x1)

y- -8 = 3(x -3)

y+8 = 3(x-3)

Find the measure of the arc or angle indicated

Find the measure of the arc or angle indicated

Answers

Answer:

Try useing a ruler

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEE

HELP ME PLEASEEEEEEEEEEE

Answers

Answer:

the letter of correct answer is letter C

is 32/24 equivalent to 12/9

Answers

Answer:

32/24 is equivalent to 12/19

yes

Please help meeee it'll be great if you guys do.

Please help meeee it'll be great if you guys do.

Answers

The equation of the CD in slope-intercept form is: C. y = -4x + 2.

How to Write an Equation in Slope-intercept Form?

The equation of a line in slope-intercept form can be written as y = mx + b. In this form, m represents the slope and b represents the y-intercept.

The slopes of lines that are parallel are equal, while the slopes of the lines that are perpendicular to each other are negative reciprocals of each other.

The slope (m) of the graph y = 1/4x - 3 is 1/4. Since AB of rectangle ABCD is perpendicular to the graph, then the slope (m) of AB would be the negative reciprocal of 1/4 which is: -4.

Also, since CD is parallel to AB, they would have the same slope, m = -4.

To find the equation of CD that is parallel to AB, substitute m = -4 and (a, b) = (-1, 6) into y - b = m(x - a):

y - 6 = -4(x - (-1))

y - 6 = -4(x + 1)

y - 6 = -4x - 4

y = -4x - 4 + 6

y = -4x + 2

Therefore, the equation of the CD in slope-intercept form is: C. y = -4x + 2.

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What is the product of the complex numbers below (5-8i)(1-11i)

Answers

Answer:

−83−63i

Step-by-step explanation:

I just got this answer on a algebra calculator. If you want the link here it is https://www.mathpapa.com/algebra-calculator.html

Answer:

Step-by-step explanation:

-83-63i

A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold? please show the steps to solve THANK YOU!!!!

Answers

Answer:

5 oranges and 10 apples were sold  

Step-by-step explanation:

Let x be the number of oranges sold and y be the number of apples sold

Since 15 fruits were sold in all we get the following equation

x + y = 15 ....................[1]

Each orange costs $1 so if x oranges were sold that would fetch x dollars in sales = x dollars in sales

Each apple costs $2 so if y apples were sold, that would result in 2y dollars in sales

Total sales in $ = x + 2y and we know this is $25 so we get the second equation as

x + 2y = 25 ..................[2]

Look at the two equations. The coefficient of the x term is the same. We can eliminate the x term by subtracting equation [1] from equation [2] as follows:

x + 2y = 25
                    -
x  +   y = 15
-----------------
        y = 10

(2y - y = y and 25-15 = 10)

Now that we know y = 10, we can use equation [1] to find x

x + 10 = 15

which makes x = 5

ANSWER

5 oranges and 10 apples were sold  

Factor the polynomial and use the factored form to find the real zeros.
P(x) = x⁴ - 3x³ + 2x²
x = ____________
Sketch the graph

Factor the polynomial and use the factored form to find the real zeros.P(x) = x - 3x + 2xx = ____________Sketch

Answers

Answer:

x = 2 or x = 1

Step-by-step explanation:

Factor the polynomial and use the factored form to find the real zeros.P(x) = x - 3x + 2xx = ____________Sketch

The following table represents the altitude of a hiker climbing in Mountain over a 60 minute hike. Calculate the average rate of change over the interval from 0 to 30 minutes.
A: The rate of change is about 90 feet per minute.
B: The rate of change is about 3 feet per minute.
C: The rate of change is about 2 feet per minute.
D: The rate of change is about 30 feet per minute.

The following table represents the altitude of a hiker climbing in Mountain over a 60 minute hike. Calculate

Answers

Answer:

The correct answer is B. The rate of change is about 3 feet per minute

I hope this helped!

Answer:

B. The rate of change is about 3 feet per minute

Step-by-step explanation:

:)

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This experiment is ... completely randomized with one factor: the species of animal ocompletely randomized with one factor: the type of collar orandomized block, blocked by species orandomized block, blocked by type of collar ocompletely randomized with two factors What is the percent of increase from 8 to 9? a characteristic of the_____ stage, is______ when adolescents feel that they alone have insights or difficulties that no one else understands or experiences.a.Formal operational: egocentrismb.Concrete operational: the imaginary audiencec.Formal operational: the personal fabled.Concrete operational: concervation Volcanoes that form ______ are generally all the same age. Volcanoes that form ______ show an orderly progression in their age from young to old. Problem: Power Output. In each case, find your average power in watts. Assume that riding a bike burns 100 Calories per mile. If you ride at a speed of 20 miles per hour, what is your average power output, in watts? ______ analysis is a way of analyzing and ranking customers according to their purchasing patterns. A) TQM B) CRM C) Market-basket. D) RFM. One example of non-Mendelian inheritance is uniparental inheritance. Choose the definition of uniparental inheritance. One parent transmits all genetic information to all offspring. One parent transmits all genetic material to only half of the offspring. Two parents transmit combined genetic information to all offspring. Two parents transmit combined genetic information to half of their offspring. Select the examples of genetic material that are uniparentally inherited in sexually reproducing eukaryotes. nuclear DNA lysosome DNA mitochondrial DNA plastid DNA A server administrator for a major transportation company is facing a crisis where ransomware has taken over and destroyed the primary and backup locations. Luckily there was an unaffected offline domain controller in a remote country where the administrator needed to fly to immediately and back up the contents via a USB hard drive. The administrator uses a hard drive running USB 3.2 that supports 10 Gbps speeds but must ensure the legacy server can support connectors. Which of the following are supported connectors? (Select all that apply.)USB MicroUSB-AUSB-CUSB-B What is the type of mixture whose components are evenly distributed throughout? Between which consecutive integer does the square root of 138 lie Someone by tomorrow please!!!write a short essay about two-three issues or problems that you feel impact teens the most in our society today. Explain how you feel the problems impact teens and what could be done to help teens cope with these problems. Some ideas for the issues or problems may be: social media, peer pressure, drug or alcohol use, pressure from parents, issues with friends, bullying, sports pressure, body image/shaming. Compute the terminal velocity of a spherical raindrop of diameter 0.05 inches. Assume it falls through air at standard sea level conditions DISCUSSION: How does the terminal velocity vary with droplet diameter? match the following. 1. a length equal to the height in a square 2. any rhombus can be created by rotating this shape around the midpoint of its base 3. found by dividing 360 by the number of sides of a regular polygon 4. height of a parallelogram 5. each angle in a rectangle 6. a special type of trapezoid 7. perpendicular distance from the center of a regular polygon to its side 8. a special type of regular polygonAltitudebaseapothemparallelogramisosceles triangleright angle central angle Which of the following are distinguishing characteristics of sacred music from the Medieval period?Instrumental accompaniment and duple meterHomophonic texture and melodies with wide intervalsStrong rhythms and disjunct melodiesStepwise melodies sung without accompaniment which of the following is not a presidential eligibility requirement established by the constitution? Solve and check In the previous parts, you obtained the following equations using Newton's 2nd law and the constraint on the motion of the two blocks: m2a2x = T - m2g sin(), (1)m1a1y = T - m1g, (2) and a2z = -a1y (3) Solve these equations to find a1y. Before you enter your answer, make sure it satisfies the special cases you already identified: - a1y = -g if m2 = 0 and - a1y = 0 if m1 = m2 and = /2. Also make sure that your answer has dimensions of acceleration. Express a1y in terms of some or all of the variables m1, m2, , and g.a1y = ____ ? A 32.0 mL sample of hydrogen is collected over water at 20.0 degrees Celsius and 750.0 torr. What is the volume of the dry gas at STP? (Vapor pressure of water at 20 degrees C = 17.5 torr)