PLEASE HELP ME ASAP

PLEASE HELP ME ASAP

Answers

Answer 1

Answer:

[tex] \sf \: x ≤ \frac{11}{6} \: or \: x> \frac{11}{3} [/tex]

Step-by-step explanation:

First question

6x-2≤9

Step 1: Add 2 to both sides.

6x−2+2≤9+2

6x≤11

Step 2: Divide both sides by 6.

6x/6 ≤ 11/6

x≤11/6

Second question

4+3x>15

Step 1: Simplify both sides of the inequality.

3x+4>15

Step 2: Subtract 4 from both sides.

3x+4−4>15−4

3x>11

Step 3: Divide both sides by 3.

3x/3 > 11/3

x> 11/3


Related Questions

1,000 times 10 of the power of 3

Answers

Answer:

1,000,000

Step-by-step explanation:

10 to the power of 3 is 1,000.

1,000 x 1,000 = 1,000,000

Answer:

1 Million

Step-by-step explanation:

Start with your exponents

[tex]\mathrm 10^3 = 10 \times 10 \times 10\\= 1,000[/tex]

Multiply

[tex]1,000 \times 1,000 = 1,000,000[/tex]

Mrs. Harkins is going to plant her new garden. She purchases 4 tomato plants for $2.59
each, a package of water melon seeds and plants for her new garden?

Answers

The sum total Mrs. Harkins is going to spend is $ 10.36 + $1.87 + $ 3.88 which comes out to be $16.11

With the given information we can easily calculate the following

The cost of 4 tomato plants which can be calculated as mentioned cost of one tomato plant  in the question = 4× $2.59 = $10.36

The cost of a package of watermelon seeds as mentioned in the question  = $1.87

The cost of jalapeno plant as mentioned in the question = $3.88

The sum total Mrs. Harkins is going to spend  the sum total of cost of plant and seeds is $ 10.36 + $1.87 + $ 3.88 which comes out to be $16.11

Correct question is 5. Mrs. Hoskins is going to plant her new garden. She purchases 4 tomato plants for $2.59 each, a package of watermelon seeds for $1.87, and jalapeno plant for $3.88. How much will Mrs. Hoskins spend on seeds and plants for her new garden?

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Amanda borrowed $8000 from two sources: her parents and a credit union. Her parents charged 3% simple interest and the credit union charged 6% simple
interest. If after 1 yr, Amanda paid $225 in interest, how much did she borrow from her parents, and how much did she borrow from the credit union?

Answers

Using the simple interests, we can say that:

Amanda borrowed $4500 from her parents.Amanda borrowed $500 from the credit union.In the question, we are given that Amanda borrowed $5000 from two sources: her parents and a credit union. Her parents charged 5% simple interest and the credit union charged 6% simple interest.We are asked to calculate how much did she borrow from her parents, and how much did she borrow from the credit union, if after 1 year, she paid $255 in interest.We assume that Amanda borrows $x from her parents.Then we know that she would have borrowed $(5000 - x) from the credit union as the total borrowed amount was $5000.We know that the simple interest (S.I.) on $P, at the rate of r%, for a period of t years, is calculated as S.I. = Prt/100.Thus, for the amount she borrowed from her parents, the simple interest is, S.I. = (x)(5)(1)/100 = x/20.For the amount she borrowed from the credit union, the simple interest is,S.I. = (5000 - x)(6)(1)/100 = (30000 - 6x)/100 = 300 - 3x/50.Thus, the total interest Amanda needs to pay is x/20 + 300 - 3x/50 = 300 - x/100.But, we are given that the total interest Amanda pays is $255.Thus, we can write that 255 = 300 - x/100,or, x/100 = 300 - 255,or, x/100 = 45,or, x = 4500.Thus, the amount Amanda borrows from her parents = $4500.The amount she borrows from the credit union is $(5000 - 4500) = $500.Thus, Using simple interests, we can say that:Amanda borrowed $4500 from her parents.Amanda borrowed $500 from the credit union.

Mr yuan wants to use his credit to pay off the full amount that another customers balance does Mr,Yuan have enough money to pay it off.

Answers

If Mr. yuan wants to use his credit to pay off the full amount that another customer's balance, then he can pay off for Wenner.

Customer          Balance ($)

Girardi                -85.23

Lewis                  20.44

Stein                   116.33

Yuan                    13.50

Wenner               -9.85

As he got the balance of -9.85 and Mr. yuan got the balance of 13.50. About the above problem is based on financial literacy which is the ability to understand and make full of our financial skills. Some of the basics of financial literacy which we can have practical applications are such as budgeting, banking, handling credit and debt, and investing. Financial literacy is essential just to avoid higher levels of debt and to have enough income for retirement.

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What decimal is represented by the point on the number line?

Answers

The decimal represented by the dot is 9.2

Answer:

9.25

Step-by-step explanation:

numbeer line is split into 4 things so 1/4 those things is 0.25

its .25 since its the first quarter

its adding 0.25 each dash so the next dash up would be 0.5 etc.

please help!!!! give 100 points

Answers

Answer:

m<1=75 degree m<2=105degree

m<3=75 degree m<4=105 degree

Answer:

m∠1 = 75°

m∠2 = 105°

m∠3 = 75°

m∠4 = 105°

Step-by-step explanation:

Angles on a straight line sum to 180°

⇒ m∠1 + m∠2 = 180°

Given:

m∠2 - m∠1 = 30°

⇒ m∠2 - m∠1 + m∠1 = 30° + m∠1

⇒ m∠2 = 30° + m∠1

Substitute the found expression for m∠2 into the first equation and solve for m∠1:

⇒ m∠1 + m∠2 = 180°

⇒ m∠1 + 30° + m∠1 = 180°

⇒ m∠1 + 30° + m∠1  - 30° = 180° - 30°

⇒ m∠1 + m∠1 = 150°

⇒ m∠1 = 150° ÷ 2

⇒ m∠1 = 75°

As angles on a straight line sum to 180°, subtract m∠1 from 180° to find m∠2:

⇒ m∠2 = 180° - m∠1

⇒ m∠2 = 180° - 75°

⇒ m∠2 = 105°

Vertical Angles Theorem:  When two straight lines intersect, the opposite vertical angles are the same (congruent).

⇒ m∠3 = m∠1 = 75°

⇒ m∠4 = m∠2 = 105°


Let f(x)=2 x²+8 and g(x)=x-3 . What are f+g and f-g ? What are their domains?

Answers

Domain of f + g ( x) = R and f - g ( x) = R

Given :

F(x) = 2x^2 + 8  and g(x) = x-3

From this, we get to know that f(x) and g(x) assume real values for all values of x.

Hence, domain (f)= Real(R) and domain (g)= real ( R ) .

Therefore D (f) and D(g) are Real Number

Now,

A >   (f + g ) : R ----> R is given by (f + g) (x)

       = f(x) + g(x) = 2x^2 + 8 + x- 3

                             = 2x^2  + x + 5

Hence, domain ( f + g ) = Real ( R )

B >    (f – g) : R---> R is given by ( f-g ) (x)

= f(x) – g(x)  = 2x^2 + 8 – ( x – 3)

                    = 2x^2 -x + 11

Hence, domain ( f - g ) = Real ( R )  .          

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The height h of a balloon, in feet, t seconds after it is released is given by the function

h(t)=2t+6. What is the value of h(20), and what does it mean in the context of the situation?

Answers

The value of h(20) is 46 and the meaning in the context of the situation is that the balloon is at 46 feet after 20 seconds

What is the value of h(20), and what does it mean in the context of the situation?

The equation of the function is given as

h(t) = 2t + 6

For h(20), it means that t = 20

So, we have

h(20) = 2 * 20 + 6

Evaluate

h(20) = 46

Hence, the value of h(20) is 46 and the meaning in the context of the situation is that the balloon is at 46 feet after 20 seconds

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Solve each equation. Check your answers.
log 6 x-3=-4

Answers

log (6x) - 3 = -4 => x = 0.167, by properties of logarithm.

What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Now,

log (6x) - 3 = -4 => log (6x) = -1

Since the base of the logarithm taken generally is 10, raising both the sides by 10:

[tex]10^{log_{10}(6x)}=10^{-1}[/tex]

=> 6x = [tex]\frac{1}{10}[/tex]

=> x = [tex]\frac{1}{60} = 0.167[/tex] (approx.)

Hence, log (6x) - 3 = -4 => x = 0.167, by properties of logarithm.

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I NEEEEED HELPPPP PLEASEEEE

Answers

Answer:

D. y = -6x + 12

Step-by-step explanation:

(2, 0),   (0, 12)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁        12 - 0         12

m = ------------ = ------------ = ------- = -6

         x₂ - x₁         0 - 2         -2

y - y₁ = m(x - x₁)

y - o = -6(x - 2)

y = -6x + 12

I hope this helps!

Could you show how you did it

Answers

ok

Step-by-step explanation:in

Slope = -2, y-intercept = -4
Y=

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies {\LARGE \begin{array}{llll} y = \stackrel{m}{-2} x\underset{b}{-4} \end{array}}[/tex]

evaluate the expression for the given value of the variable
please show work [tex]|-4b-8|+|-1-b^2|+2b; with b=-3[/tex]

Answers

The value of the expression when b = -3 is 24

What are functions?

Functions can be defined as expression, rules or law that explains the relationship between two variables:

A dependent variablesAn independent variable

It is also important to note that the absolute value of a number is the distance of the number from zero irrespective of its direction in a number line.

Absolute value of a number must take a positive sign.

It is denoted with the symbol '| | '

Given the expression;

| -4b - 8 | + | -1 - b²| + 2b

Substitute the value of b as -3

We have;

|-4(-3) - 8| + |-1 - (-3)²| + 2(-3)

expand the bracket

|-12-8| + |-1 - 9| - 6

Take the absolute values

20 + 10 - 6

24

Thus, the value of the expression when b = -3 is 24

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6 negative tiles. 1 tile is crossed out.
Negative 6 minus (negative 1)
Negative 6 minus 1
Negative 5 minus (negative 1)
Negative 5 minus 1

Answers

The expression that is the representation of the number of available tiles is (a) -6 - (-1)

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to interpret the representation of the tiles?

The representation of the tiles is given as

6 negative tiles1 tile is crossed out.

The above representation of tiles implies that:

Total number of tiles = 6All tiles are negativeOne of these negative tiles is crossed  out

The representation of the tiles is

Available tiles = Total number of tiles - (The number of tiles crossed out)

The above equation implies that:

Available tiles = -6 - (-1)

We do not need to evaluate the expression

Hence, the expression that is the representation of the number of available tiles is (a) -6 - (-1)

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Five times the sum of 4 and some number is
15. What is the number?

Answers

Answer:

I believe the answer is 5(N+4) /5 = -15/5 . n = -3 - 4 = -7 

Step-by-step explanation:

The answer is 5*x+4+15

I need help with this its due today

Answers

I won’t give you an entire paragraph to copy, but fundamentally, the slope formula is y2-y1/x2-x1. From there it’s used in graphs, equations. Slope is rise over run. Parallel slopes are the same slope with different y intercepts. Perpendicular equations have different slopes that intersect at a 90 degree angles. Please fill in the rest from there in your own words. I wish you the best.

983,512 × 1=
A. 983,512
B. 983,513

Answers

The value of 983,512 × 1 will be 983,512 by using the multiplicative identity of multiplication.

We are given the expression:

983,512 × 1

We need to find the result after multiplication.

Multiplication is one of the basic operations of mathematics that is used to simplify the expression.

Here, we will use the property of multiplicative identity as the number is multiplied by 1.

By using this, we get that the result will be the same number as anything multiplied by 1 will always give the same number.

So, we get that:

= 983,512

Therefore, we get that, the value of 983,512 × 1 will be 983,512 by using the multiplicative identity of multiplication.

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This is a course test, due kinda soon. Picture Is Problem

Answers

Answer:

4 and 4

Step-by-step explanation:

i could be wrong but same length and size

find the value of k so that the point A lies on the line given by the equation.
A(2,1), 3x+ky=8

Answers

The value of K is 2 so that the point A lies on the line given by the equation A (2,1), 3x+ky=8.

Given: Equation is 3x+ky=8

Points A (2,1)

We need to determine the value for K

3x+ky=8   — 1 (Take as equation 1)

Substitute the points in equation 1

So, we take x = 2 and y = 1

3(2) +k (1) = 8

6+k = 8

k = 8 - 6

k = 2

When graphing points on a coordinate plane, it is often helpful to find the value of k that makes the point lie on a line. For this problem, k = 2 so that A (2,1), 3x+ky=8.

Hence, the value of K is 2 so that the point A lies on the line given by the

equation A (2,1), 3x+ky=8.

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What is the slope and y-intercept of the line 3x - 2y = 12?

Answers

Answer:

Slope: (3/2)

y-intercept: (0, -6)

Step-by-step explanation:

3x - 2y = 12

-3x              -3x

-2y = -3x + 12

÷-2    ÷-2  ÷-2

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

y = (3/2)x - 6

Slope: (3/2)

y-intercept: (0, -6)

I hope this helps!

slope 3/2 y - intercept is (0,6) I
hope it helps I used to learn this but yk it progressed

What is the length of the long leg in the right triangle shown below? O A. 6 B. 3 C. 643 D. 6√2 30* N 60°​

Answers

Answer:

c.) 6√3

Step-by-step explanation:

This can be solved using both sine and cosine rule.

1st method:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\sf sin(60) = \dfrac{long \ leg}{12}[/tex]

[tex]\sf long \ leg= 12sin(60)[/tex]

[tex]\sf long \ leg= 6\sqrt{3}[/tex]

2nd method:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\sf cos(30) = \dfrac{long \ leg}{12}[/tex]

[tex]\sf long \ leg= 12cos(30)[/tex]

[tex]\sf long \ leg=6\sqrt{3}[/tex]

Point W is located at (7, 3) on a coordinate plane. Point W
is translated 2 units to the left and 3 units up. What will
be the x-coordinate of the image point W' ?

Answers

The Image of the point W(7,3) after the translation is W'(5,6),hence the x-coordinate of the translated point is 5

Translation is used in co-ordinate geometry to find the co-ordinates of an image after moving the point from its original position.

A point on the cartesian plane is represented in the form of (x,y). Where x represents the position of the point along the x-axis and y represents the position of the p[point from the y-axis.The distance of the point from the origin is calculated by the distance formula based on Pythagorean theorem.When a points is translated to the left or downwards x and y coordinate values are decreased.When a points is translated to the right or upwards x and y coordinate values are increased.

The given point is W(7,3). The point is translated 2 units to the left and 3 units upwards. Hence the new coordinates of the point is given by:

W(7,3)→W'(5,6)

Therefore the x-coordinate of the translated point is 5.

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Tom rolls 2 fair dice and adds the
results from each.
Work out the probability of getting a
total more than 4

Answers

The probability of getting a total of more than 4 is 5/6.

What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

So, formula: P = favorable events/total events

Total outcomes = 36Favorable outcomes (sum more than 4) = 30

(Refer to the image attached below)

Insert values in the formula as:

P = favorable events/total eventsP = 30/36P = 5/6

Therefore, the probability of getting a total of more than 4 is 5/6.

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Two boats, originally 35 km apart, sail toward each other. The
first goes at a speed of 8.5 kph. The second goes at a speed of
5.5 kph. How long until they meet? Hint: your answer will be a
decimal.

Answers

The will meet after 2.5 hour.

To solve for distance use the formula for distance d = st, or distance equals speed times time.

distance = speed x time

Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.

distance = rate x time

To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.

speed = distance/time

To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.

time = distance/speed

let say they will meet after time t.

distance covered by first boat = velocity of boat × time= 8.5t

distance covered by second boat= 5.5t

distance between both boats = 35km.

by equating both the distance

35km = 8.5t+5.5t

35km = 14t

t= 35÷14 =2.5 hour= 9020.618 seconds.

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Angle 1 and Angle 2 are a Linear pair.

M angle 1 =x-20 and M angle 2 =x+28

Find the measure of each angle.

Angle 1 = ? Angle 2 = ?

Answers

Answer:

Answer: ∠1 = 109°    ∠2 = 71°

Step-by-step explanation:

If the two angles form a linear pair, then their sum is 180°

 ∠1      +     ∠2     = 180°

(5x + 9) + (3x + 11) = 180

             8x + 20  = 180

             8x          = 160

               x          = 20

∠1 = 5x + 9

   = 5(20) + 9

   = 100   + 9

   = 109

∠2 = 3x + 11

    = 3(20) + 11

    =    60  + 11

    =         71

 CHECK:

∠1   + ∠2 = 180°

109° + 71° = 180°

    180°   = 180°  

Step-by-step explanation:

hope it helps

Tarini took a math quiz. For each incorrect question, she lost 2 points. If Tarini got 5 questions incorrect, how many points did she lose? Represent your answer as an integer.

Answers

She lost 10 points because she lost 2 points for 5 different questions. 1 question would be a loss of 2 points, 2 would be a loss of 4 points and so on. She lost 10 points.

Answer: She lost 10 points

Step-by-step explanation:

She loses 2 points per the wrong answer. Therefore, do 2 times 5. That gives you ten.

An integer is just a positive whole number btw!

I hope this helps!

17/60/17/3+(5/2-21/3*5/7)*(13*5/26+1/2)

Answers

Answer:

[tex] \implies - \frac{149}{20} \\ [/tex]

Step-by-step explanation:

[tex] \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21}{3} \times \frac{5}{7} )( \frac{13 \times 5}{26} + \frac{1}{2} )\\[/tex]

According to the Bodmas rule,

B stands for BracketO stands for orderD stands for DivisionM stands for MultiplicationA stands for AdditionS stands for Subtraction

According to the question,

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21}{3} \times \frac{5}{7} )( \frac{13 \times 5}{26} + \frac{1}{2} ) \\[/tex]

[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21 \times 5}{3 \times 7} )( \frac{65}{26} + \frac{1}{2}) \\ [/tex]

[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{105}{21} )( \frac{65}{26} + \frac{1}{2}) \\ [/tex]

[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{(21 \times 5 )- (2 \times 105)}{42} )( \frac{(1 \times 65 ) + (13 \times 1)}{26} ) \\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{105 - 210}{42})( \frac{65 + 13}{26} ) \\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {105}{42})( \frac{78}{26} ) \\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {105 \times 78}{42 \times 26})\\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {8190}{1092})\\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} - \frac {8190}{1092}\\ [/tex]

[tex] \implies \frac{17}{60} \times \frac{3}{17} - \frac{8190}{1092} \\ [/tex]

[tex] \implies \frac{17 \times 3}{60 \times 17} - \frac{8190}{1092} \\ [/tex]

[tex] \implies \frac{51}{1020} - \frac{8190}{1092} \\ [/tex]

[tex] \implies \: \frac{(91 \times51) -(85 \times 8190) }{92820} \\ [/tex]

[tex] \implies \: \frac{4641 -696150 }{92820} \\[/tex]

[tex] \implies \: - \frac{691509 }{92820} \\[/tex]

[tex] \implies \: - \frac{691509 \div 4641 }{92820 \div 4641} \\[/tex]

[tex] \implies - \frac{149}{20} \\ [/tex]


Which interval for the graphed function contains the local
maximum?
O
O [1, 2]
O[2,3]
O[3, 4]
[-1, 0]

Answers

Answer: The answer is C.

Step-by-step explanation:


Choose the correct term to complete each sentence.
(Radical functions/Inverse functions) are of the form f(x)=n√x

Answers

Radical functions are of the form f(x)=n√x.

If we want to find the inverse of a radical function, we will need to restrict the domain of the answer because the range of the original function is limited. Determine the range of the original function. Replace f(x) with y, then solve for x.

MORE: Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol. Radical equation - An equation containing radical expressions with variables in the radicands.

To reverse that operation, you can find the square root of that power: In this case, the sign asks you to find which factor can be multiplied by itself twice to equal the expression inside the radical. (The expression inside the radical is also called the radicand.)

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What is the probability of guessing all of the correct answers?
P(correct) = _______

Answers

Since each response is distinct, the odds of correctly predicting each response is 1/3× 1/3× 1/3, or 1/27.

Probability is the ability to happen. The occurrence of random events is the subject of this branch of mathematics. The value is expressed as a number between 0 and 1.

For instance, when a coin is tossed into the air, a Head or Tail are two possible results.

Hence, the term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

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Which of the following lines is not parallel to the graph of y = 3x+9?a.3x-y = 10C.3y-x-10b. y-3x = 11d. 6x-2y=10Please select the best answer from the choices providedOAOBCOD A patient with a recent diagnosis of heart failure has been prescribed furosemide (lasix) in an effort to physiologically do what for the patient? Yeah I need help again :,|Which group of invaders ultimately conquered Constantinople?1. The Crusaders2. The Romans3. The Ottomans4. No outside group conquered Constantinople. Palomas firm is beginning operations in a foreign host country that requires at least 5% of managerial roles to be filled by workers from the host country. When paloma hires 50% of managers from the host country, she is fulfilling the "make a profit" practice of corporate social responsibility. True or false?. why is it important to be religious? As your about to see, life inside north Korea is very different than life within the United States. Their principles of government are night and day compared to ours. Using at least 3 of the 5 principles of government, explain how life in North Korea is different from life in the United States in one paragraph. Find the value of x. PLEASE HELPSubject: Proportions in Similar Triangles which is harder to lift ?a, 20 kg b, 20 Ibc, same size 11 + 3 7 = + 5 3 During the 2014 Olympic games, a snowboarder rose 6.2 m vertically above the rim of the half-pipe. With what speed did he launch from the rim? Which sentence from the article BEST supports the idea that not all liquids evaporate at the same temperature?AThe temperature at which a liquid turns into a gas is called its boiling point.BThat same temperature can be considered the melting point if the temperature is increasing and causes a solid to become a liquid.CFor example, liquid water turns to a solid form ice when it is cooled to 32 degrees Fahrenheit (0 degrees Celsius).DDifferent types of matter have different boiling, melting and freezing points. When incorporated into a polypeptide chain not at the n or c terminus, _______ would make the charge of the polypeptide more positive. Investing $10,000 in a savings account at 5% annual interest compounded semiannually will result in approximately how much money after 10 years? A nation can become a state when it has which of these? a o o o o common language organized government standing army unique customs I WILL GIVE YOU BRANLIESTQuestion 1(Multiple Choice Worth 2 points)(Writing Two-Step Equations MC)Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $190, how many hours did the plumber work?Write and solve an equation to determine the number of hours worked by the plumber. 50x + 35 = 190; x = 3.1 hours 50x 35 = 190; x = 4.5 hours 35x + 50 = 190; x = 4 hours 35x 50 = 190; x = 6.9 hoursQuestion 2(Multiple Choice Worth 2 points)(Writing Two-Step Equations MC)Write and solve an equation that represents the following math sentence.Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5. 24 = 10.5 + 4.5m; m = 60.75 24 = 10.5 + 4.5m; m = 3 24 equals 10.5 plus m over 4.5; m = 3 24 equals 10.5 plus m over 4.5; m = 60.75Question 3(Multiple Choice Worth 2 points)(Writing Two-Step Equations MC)Write 'five more than three times a number equals 21' as an equation. 3x + 5 = 21 5x + 3 = 21 3x(5) = 21 5x(3) = 21Question 4(Multiple Choice Worth 2 points)(Writing Two-Step Equations MC)Three friends ate at a restaurant. They ordered nachos for $19.95 and jalapeno poppers. Each friend paid $9.73, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers. $6.65 $9.24 $18.48 $29.19Question 5(Multiple Choice Worth 2 points)(Writing Two-Step Equations MC)Write an equation for the following math sentence.One third times the difference of thirty and a variable is three fourths. one third times the quantity 30 minus y equals three fourths one third times the quantity y minus 30 equals three fourths one third times 30 minus y equals three fourths one third times y minus 30 equals three fourthsQuestion 6 (Essay Worth 4 points)(Writing Two-Step Equations HC)Warren is building shelves for his 3-D printed model collection. He has a piece of wood that is 4.5 feet long. After cutting five equal pieces of wood from it, he has 0.7 feet of wood left over.Part A: Write an equation that could be used to determine the length of each of the five pieces of wood he cut. (1 point)Part B: Explain how you know the equation from Part A is correct. (1 point)Part C: Solve the equation from Part A. Show every step of your work. (2 points) According to the video case discussing economic opportunities to make money with ar, vr, and 360 video content, what is the major difference between virtual reality and 360 video?. Question 3What is WX? Explain your reasoning.W30BIUX XZ1060 45%Y15px45%XAVAE Because of the many challenges of working in HIM careers, works to provide education and credentials for HIM professionals.HIM professionals should learn ways to keep confidential, including how to secure this information appropriately.The sets guidelines for HIM compliance.Failure to comply with patient confidentiality rules can lead to investigation by the . An unknown metal sample with a mass of 14.8 g was obtained. The sample displaces 0.767 mL of water. The densities of several metals are listed in the table.Metal Density (g/mL)aluminum 2.70 iron 7.87 cobalt 8.90 copper 8.96 gold 19.3 What is the possible identity of this metal sample?coppergoldcobaltaluminum 5 sentences written implicitly. ( Not a sentence with the word implicitly in it)