i’m begging can someone PLEASE help and hurry i have to turn this in soon

Im Begging Can Someone PLEASE Help And Hurry I Have To Turn This In Soon

Answers

Answer 1

Given the diagram above, which is a combination of three right triangles,

27) m∠DGE = 45°

28) m∠EDG = 85°

29) FD = 10

30) GD = 14

31) EG = 19.

What is the explanation for the above answers?

27) m∠DGE = 45°

This is because m∠DGE is an alternate angle to m∠BAD which is = 45°. Recall that alternate angles are congruent.

28) m∠EDG = 85° because it is the vertical opposite of ∠ADC. Note that  ∠ADC = 180 - 45 - 50

= 85°

29)  and 30)

Given FG=10 and m∠DGE=45°,

FD = √DG² - FG²

Since we don't have FD

We use Cos Rule

GD = FG/cos(α)

GD = 10/Cos 45°

GD = 14.1421356237

GD [tex]\approx\[/tex] 14

Thus,

FD = √14.1421356237312 - 102

FD = √100

FD = 10

31)

EG = EF + 10

EF = √(GD² - FG²

EF = √(14² - 10²)

EF = √80.982478588641

EF =  8.99903

Hence,

EG = 8.99903 + 10

EG [tex]\approx[/tex]  19

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Related Questions

HELLLP FAST
Mathamatics

Answers

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

BEAINEST IF CORRECT
if x= 60 would they be similar or not? explain ur answer.

Answers

Answer: no they wouldn't be similar

Step-by-step explanation: if x=60 if triangle 1 then the third angle would be (180-(58+60)) =180-118=62
if we decide to calculate the third angle in triangle 2 we will have 180-(50+58) = 180-108=72

therefore not all angles in 1 are similar to angles in 2 so the triangles aren't similar

I need help asap!!!!!

Answers

Answer:

8x - 58 ≤ 500

8x ≤ 500 + 58

8x ≤ 558

x ≤ 69.74

15 points! please help me out!

Answers

Answer: 260 ft^2

Step-by-step explanation:

Find the area of the triangle: 0.5*height*base = 0.5*10*20 = 100 ft^2

Find the area of the rectangle: 20*8 = 160 ft^2

Add them together: 160+100 = 260 ft^2

Find what percentage of $6500 is $4250

Answers

Step-by-step explanation:

To find the percentage that $4250 represents of $6500, we can use the following formula:

percentage = (part / whole) x 100%

where "part" is $4250 and "whole" is $6500.

Substituting these values into the formula, we get:

percentage = (4250 / 6500) x 100%

percentage = 0.6538 x 100%

percentage = 65.38%

Therefore, $4250 represents 65.38% of $6500.

Answer: It is approximately 65%

Step-by-step explanation: Divide $4,250 by $6,500 and your answer without rounding is 65.3846%

The product of 4 and Gail’s age is 72
Use the variable g to represent Gail’s age

Answers

Answer: g=18

Step-by-step explanation:

g*4=72

g=72/4

g=18

eight times the product of 4 and a number in an algebraic expression, then simplify the expression.

Answers

The answer is 32x

8(4x)
v
32x

Question 2
(03.01 LC)
Which of the following is not created when a plane slices through a cone?
O Point
O Line
O Circle
O Square

Answers

A square is not created when a plane slices through a cone.

What is square?

A square is a geometrical shape that has four equal sides and four equal angles of 90 degrees.

What is cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a pointed top or apex. It looks like a funnel or an ice cream cone.

According to given information:

When a plane intersects or slices through a cone, it creates a variety of different shapes depending on the angle of the plane and the position of the cone.

If the plane intersects the cone at an angle perpendicular to its base, it will create a circle. If the plane intersects the cone at an angle that is not perpendicular to its base, it will create an ellipse.

If the plane intersects the cone at an angle that is parallel to one of its generators (the lines that can be drawn from the vertex of the cone to any point on its base), it will create a parabola. If the plane intersects the cone at an angle that is not parallel to one of its generators, it will create a hyperbola.

Therefore, a square is not created when a plane slices through a cone.

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Select the correct answer. The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21. The second number is 24. B. The equation that represents this situation is 3x = 21. The second number is 7. C. The equation that represents this situation is -3x = 21. The second number is -7. D. The equation that represents this situation is -3 + x = 21. The second number is 18.

Answers

Answer:

The product of two numbers is 21.

Step-by-step explanation:

If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21.

Which of the following equation will produce the graph shown below

Answers

The quadratic equation in the given graph can be written in the vertex-form as:

y = -2(x - 1)² + 4

Which of the equations produce the given graph?

We can see the graph of a quadratic equation. Remember that a quadratic equation with a vertex (h, k) and a leading coefficient a can be written as:

y = a*(x - h)² + k

in the graph we can see that the vertex is (1, 4), replacing that we will get:

y = a*(x - 1)² + 4

In the graph we also can see that the curve passes through the point (0, 2), replacing thesevalues in the equation we will get:

2 = a*(0 - 1)² + 4

2 = a + 4

-2 = a

Then the quadratic is:

y = -2(x - 1)² + 4

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14 yd

21 yd find the area of the triangle

Answers

Answer:

147

Step-by-step explanation:

A= h^b b=21*14= 147

5. You throw a water balloon into the air and its path is modeled by
h =-d² + 4d + 5 where h is the height in feet and d is the horizontal
distance in feet.
a. When the horizontal distance is 1 (d=1), what is the height of
the balloon?
b. Your arch nemesis (enemy) is standing about 33 feet away from
you, does the water balloon hit them? (Explain your answer)

Answers

Step-by-step explanation:

Your POST does not match the picture....I will use the equation in the picture

h = - 1/8 d^2 + 4d + 5  

a)     when d = 1   find 'h' by putting '1' in the equation for 'd'

       h = -1/8 *(1^2) + 4(1) + 5 = 8  8/9 ft high

b)  when d = 33

          h = -1/8 ( 33^2) + 4 (33) + 5 =   .875 ft = 7/8 ft high

                yah...it will probably hit your enemy

Find the value of X.

Answers

Answer:

X = 61,  Angle 57 and 123

Step-by-step explanation:

If you could provide the exact question that would be great, but from the information given what we know is that the entirety of half of a circle is 180 degrees so the angle at x-4 and the angle and 2x+1 must be equal to 180 degrees.

Therefore:

x-4  +  2x+1 = 180 degrees

X = 61,    Therefore:

x-4 -->  61 -4 = 57 degrees

2x+1 ---> 2(61) +1  = 123 degrees

So:

The angles are 57 degrees for x-4 and 123 for 2x+1 .

Both angles are adjacent and lie on a line, thus the sum of their angle measures is 180°. Let’s create an equation to solve for “x:”

(x-4)°+(2x+1)°=180°

Combine like terms and cancel the degree symbols:

3x-3=180

Add 3 to both sides:

3x=180+3

3x=183

Divide both sides by 3:

x=183/3

x=61




2. Evaluate the logarithmic expression using properties of logs and the change of base formula
Expression

a. log5.625
b. log6.4 +log6.12
c. log3.9^4

(i put a period after a imaginary number)

Answers

The expressions can be written as  :a. log5.625 ≈ 0.75.

                                                             b. log6.4 + log6.12 ≈ 1.67.

                                                             c. log3.9^{4} ≈ 2.47.

What is logarithm function?

A logarithm function is a mathematical function that determines the power to which a fixed number, called the base, must be raised to produce a given value and The logarithm function is the inverse of the exponential function. The most commonly used base for logarithmic functions is 10 (log base 10), but other bases such as 2 (log base 2) and the natural logarithm base e (ln) are also used.

a. Since there is no base specified, we assume the base to be 10 by default. Therefore, we can write:

log5.625 = log(5625/1000)

Using the property log(a/b) = log(a) - log(b), we can simplify this expression to:

log5.625 = log(5625) - log(1000)

Using the change of base formula, we can convert the logs to a common base, such as 2 or e:

log5.625 = log(5625)/log(10) - log(1000)/log(10)

Evaluating the logs using a calculator or by simplifying, we get:

log5.625 ≈ 0.75

Therefore, log5.625 ≈ 0.75.

b. Using the property log(a) + log(b) = log(ab), we can simplify the expression:

log6.4 + log6.12 = log(6.4 × 6.12)

Using the change of base formula, we can convert this to a common base:

log6.4 + log6.12 = log(6.4 × 6.12)/log(10)

Evaluating the log using a calculator or by multiplying 6.4 and 6.12 and simplifying, we get:

log6.4 + log6.12 ≈ 1.67

Therefore, log6.4 + log6.12 ≈ 1.67.

c. Using the property log(a^{n}) = n log(a), we can simplify the expression:

log3.9^{4} = 4 log3.9

Using the change of base formula, we can convert this to a common base:

log3.9^{4} = 4 log(3.9)/log(10)

Evaluating the log using a calculator or by simplifying, we get:

log3.9^{4} ≈ 2.47

Therefore, log3.9^{4} ≈ 2.47.

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In ΔIJK, i = 100 inches, mm∠I=115° and mm∠J=23°. Find the length of j, to the nearest inch.

Answers

The measure of the side J of the triangle ΔIJK will be 43 units.

What is the law of sine?

The law of sines defines the ratio of triangle sides, and their respective sine angles are equivalent. The law of sines is also known as the sine law, sine rule, and sine formula.

Given that in the triangle i = 100 inches,  m∠I=115° and m∠J=23°. The measure of the length J will be calculated as:-

100 / sin115 = J / sin23

J = (100) x sin23 / sin115

J = 100 x 0.43

J = 43 units

The length of side J will be 43 units.

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Talitha will sell her bicycle shop to you for R250 000, with seller financing at a 6% nominal annual rate. The terms of the loan will require you to make 12 equal end-of-month payments per year for four years, and then make an additional final (balloon) payment of R50 000 at the end of the last month. What will your equal monthly payments be?

Answers

Answer:

Step-by-step explanation:

To calculate the equal monthly payments under this loan, we can use the formula for the present value of an annuity due, since the payments are due at the end of each period. The present value of the equal monthly payments can then be set equal to the loan amount of R250,000, and we can solve for the payment amount.

First, we need to calculate the present value factor for an annuity due with 12 payments per year over a four-year period, using a nominal annual rate of 6%.

PVIFA(due) = (1 - (1 + r/n)^(-nt))/((r/n)(1 + r/n))

Where:

r = nominal annual rate = 6%

n = number of compounding periods per year = 12

t = number of years = 4

PVIFA(due) = (1 - (1 + 0.06/12)^(-12*4))/((0.06/12)(1 + 0.06/12)) = 43.232

Next, we can use the formula for the present value of an annuity due to calculate the equal monthly payments:

PMT = PV / PVIFA(due)

Where:

PV = present value of the loan = R250,000

PMT = 250000 / 43.232 = R5,785.97

Therefore, your equal monthly payments will be R5,785.97. At the end of the four-year period, you will also need to make a final balloon payment of R50,000 to fully pay off the loan.

What is 2 +2 -6 + 9 divided by 4

Answers

Answer:0.25

Step-by-step explanation:

The slope of a line is undefined, and the x-intercept is -7. What is the equation of the line?
Oy=-7
Ox=-7
Oy=-7x

Answers

Answer:

"Undefined slope"

Step-by-step explanation:

The line is vertical on the graph.

Every point on the line has the same x-coordinate.

If the line crosses the x-axis where x=-7, then the

x-coordinate of every point on the line is -7, and the

equation of the line is

                                     x = -7 .

A company estimates that 0.8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.

If they offer a 2 year extended warranty for $22, what is the company's expected value of each warranty sold?

$

Answers

Therefore , the solution of the given problem of percentage comes out to be the firm expects that each warranty it sells will be worth $1.41.

What is percentage?

In statistics, "a%" is used to refer to a figure or number that is expressed as a percentage of 100. Additionally rare are the forms that "pct," "pct," or "pc". It is typically represented by the symbol "%," though. Additionally, there are not any indicators and the proportion of each item to the overall amount is flat. Since percentages typically add up to 100, they are essentially integers. Either the expression "fraction" or the symbol for percentage (%) .

Here,

The price to substitute each item is $200. The anticipated price for each component is thus:

Expected cost per product equals Replacement cost x Failure Probability

=> Cost per product anticipated = 0.008 x $200

=>  Expected price per item is $1.60.

So, the following is the anticipated value of each warranty sold:

Expected worth of the warranty = Failure rate x (Replacement cost - Cost of warranty)

=>   Expected guarantee value = 0.008 * ($200 - $22 - $1.60).

=>  Expected guarantee value = 0.008 * $176.40

=>  Expected warranty worth is $1.41

As a result, the firm expects that each warranty it sells will be worth $1.41.

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Resolve partially
3x+2/(x+1)(x²+x+2)

Answers

Answer:

The given expression is:

3x + 2 / (x + 1)(x² + x + 2)

To simplify this expression, we need to factor the denominator first:

x² + x + 2 = (x + 2)(x + 1)

So the expression becomes:

3x + 2 / (x + 1)(x + 2)(x + 1)

Next, we can use partial fraction decomposition to express the expression in terms of simpler fractions. Let's assume:

3x + 2 / (x + 1)(x + 2)(x + 1) = A/(x + 1) + B/(x + 2) + C/(x + 1)²

Multiplying both sides by the common denominator, we get:

3x + 2 = A(x + 2)(x + 1) + B(x + 1)² + C(x + 2)(x + 1)

Expanding the right side, we get:

3x + 2 = Ax² + 3Ax + 2A + Bx² + 2Bx + B + Cx² + 3Cx + 2C

Combining like terms, we get:

3x + 2 = (A + B + C)x² + (3A + 2B + 3C)x + (2A + B + 2C)

Since this equation holds for all values of x, the coefficients of each power of x must be equal on both sides. We can equate the coefficients of x², x, and the constant term to get a system of three equations for A, B, and C:

A + B + C = 0

3A + 2B + 3C = 3

2A + B + 2C = 2

Solving this system, we get:

A = 2/3

B = -1/3

C = -1/3

Substituting these values back into the partial fraction decomposition equation, we get:

3x + 2 / (x + 1)(x² + x + 2) = 2/3/(x + 1) - 1/3/(x + 2) - 1/3/(x + 1)²

Therefore, the simplified expression is:

3x + 2 / (x + 1)(x² + x + 2) = 2/3/(x + 1) - 1/3/(x + 2) - 1/3/(x + 1)²

which is more 7,000 millimeters or 7 liters?

Answers

I believe you meant milliliters? If so, they are equal.

A brick of mass 2 kg falls through water with an acceleration of 2 ms 2. The total force of the resistance is N.​

Answers

The calculated value of the force of the resistance is 15.62 N

Calculate the force of the resistance

We can use Newton's Second Law of Motion to solve this problem. The formula is:

F = m*a

where F is the net force, m is the mass of the object, and a is the acceleration.

In this case, the brick is falling through water, so there are two forces acting on it:

gravity (pulling it down) water resistance (slowing it down).

The net force is the difference between these two forces:

F_net = F_gravity - F_resistance

The weight of the object is:

F_gravity = m*g

So, we have

F_gravity = 2 kg * 9.81 m/s^2 = 19.62 N

Now we can use the formula for net force to find the force of water resistance:

F_net = F_gravity - F_resistance

F_resistance = F_gravity - F_net

F_resistance = 19.62 N - m*a

This gives

F_resistance = 19.62 N - 2 kg * 2 m/s^2 = 15.62 N

Therefore, the force of water resistance is 15.62 N.

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I need this work sheet done in 10 minutes or less!!

Answers

Answer:

3. 216 cm^3

4a. A = 5 ft, B = 4 ft.

4b. 88 ft^3

Step-by-step explanation:

3. Separate into two rectangular prisms:

Volume of first one: 4cm*2cm*3cm = 24cm^3

Volume of second one: 4cm*12cm*4cm = 192cm^3

Add them together: 24 + 192 = 216cm^3

4a.

Length A = 8-3 = 5ft.

Width B = 8-4 = 4ft.

4b. Separate into two rectangular prisms:

Volume of first one: 2ft*3ft*4ft = 24ft^3

Volume of second one: 8ft*4ft*2ft = 64ft^3

Add them together: 24 + 64 = 88ft^3

Find the probability of rolling an even number on a single die

Answers

The probability of rolling an even number on a single die is 1/2, or 50%. This can be calculated by considering the possible outcomes of rolling the die.

There are six possible outcomes, and three of these are even numbers (2, 4, and 6). Therefore, there is a 3/6, or 1/2, chance of rolling an even number. In terms of probability, this can be expressed as a fraction, percentage, or decimal. As a fraction, the probability of rolling an even number on a single die is 3/6, or 1/2. As a percentage, the probability of rolling an even number on a single die is 50%. As a decimal, the probability of rolling an even number on a single die is 0.5. No matter how it is expressed, the probability of rolling an even number on a single die is 1/2, or 50%. This can be easily remembered by considering that there are six possible outcomes, and three of them are even numbers.

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Find the quotient. What is the remainder?

233 ÷ 6

Answers

Answer:

When you divide 233 by 6 using long division, you get:

38

---

6|233

 216

 ---

  17

Therefore, 233 ÷ 6 = 38 with a remainder of 17

Answer:

38.83 (the 3 goes on and on)

Can someone help me, please?

Answers

Answer: 88 in

Formula for circumference:

C = 2 pi r

Fill it in with what’s given:

C = 2 * 3.14 * 14

Solve

= 87.92

Rounded

88in

The Revenue and Cost equations for a company are known to be polynomials of order 1 and 2 respectively. It is also known that the graphs of the two equations meet at points A(1,1) and B(5,9) while the third point of the cost function is C(2,0), obtain the following:
a) The Revenue equation and the cost equation
b) What do the common solutions to the two equations signify?

Answers

Answer: a) We know that the Revenue equation is a polynomial of order 1, so we can write it in the form:

R(x) = ax + b

where a and b are constants to be determined. We also know that R(1) = 1 and R(5) = 9, so we have two equations:

a(1) + b = 1

a(5) + b = 9

Solving these equations simultaneously, we get:

a = 2, b = -1

Therefore, the Revenue equation is:

R(x) = 2x - 1

Similarly, the Cost equation is a polynomial of order 2, so we can write it in the form:

C(x) = ax^2 + bx + c

where a, b, and c are constants to be determined. We know that C(1) = R(1) = 1 and C(5) = R(5) = 9, so we have two equations:

a(1)^2 + b(1) + c = 1

a(5)^2 + b(5) + c = 9

We also know that C(2) = 0, so we have a third equation:

a(2)^2 + b(2) + c = 0

Solving these equations simultaneously, we get:

a = 1, b = -4, c = 4

Therefore, the Cost equation is:

C(x) = x^2 - 4x + 4

b) The common solutions to the Revenue and Cost equations represent the production level(s) at which the company makes a profit, since the Revenue equation represents the amount of money the company earns and the Cost equation represents the amount of money the company spends. In other words, the common solutions are the values of x for which R(x) - C(x) > 0. At these production levels, the company's revenue is greater than its cost, resulting in a profit. At production levels where R(x) - C(x) < 0, the company is making a loss. At production levels where R(x) - C(x) = 0, the company is breaking even. Therefore, the common solutions to the two equations signify the production levels at which the company makes a profit or breaks even.

Step-by-step explanation:

Martha made 2 2/3 pounds of pasta. she divided the pasta into fourths. how much pasta is in each portion?

Answers

Step-by-step explanation:

2  2/3 =  8/3

8/3 * 1/4  = 8/12 =   2/3 pound in each portion

Hodgman Honest is evaluating a new project for her firm, Basket Wonders (BW). She has determined that the after-tax cash flows for the project will be $10,000; $12,000; $15,000; $10,000; and $7,000, respectively, for each of the Years I through 5. The initial cash outlay will be $40.000. For this project, assume that it is independent of any other potential projects that Basket Wonders may undertake. The management of Basket Wonders has set a maximum PBP of 3.5 years for projects of this type. Required: Evaluate this project using payback period technique and advise the management accordingly.​

Answers

Answer:

To calculate the payback period (PBP) for this project, we need to determine how long it will take for the initial cash outlay of $40,000 to be recovered from the after-tax cash flows.

Year 1 cash flow = $10,000

Year 2 cash flow = $12,000

Year 3 cash flow = $15,000

Year 4 cash flow = $10,000

Year 5 cash flow = $7,000

Total cash inflows for year 1 and year 2 = $10,000 + $12,000 = $22,000

Total cash inflows for year 3 = $15,000

Total cash inflows for year 4 = $10,000

Total cash inflows for year 5 = $7,000

Cumulative cash inflows for year 1 and year 2 = $22,000

Cumulative cash inflows for year 3 = $37,000

Cumulative cash inflows for year 4 = $47,000

Cumulative cash inflows for year 5 = $54,000

It can be seen that the cumulative cash inflows reach the initial cash outlay of $40,000 after year 2, and therefore the payback period for this project is 2 years. Since the payback period is less than the maximum PBP of 3.5 years set by management, this project can be considered acceptable.

So, Hodgman Honest should recommend that Basket Wonders should accept this project as it has a payback period of only 2 years, which is less than the maximum PBP of 3.5 years set by management.

A family with a spending budget of $22,300 receives an increase in wages of 3% in a year in which inflation was 5.6%. Find the net gain or loss in their purchasing power

Answers

The family actually lost purchasing power due to the combination of the wage increase and inflation, as their budget did not keep pace with rising prices.

To find the net gain or loss in the family's purchasing power

We need to calculate the inflation-adjusted increase in their wages.

First, we can find the amount of the wage increase by multiplying the original budget by the percentage increase:

Wage increase = $22,300 x 0.03 = $669

Next, we need to adjust for inflation. We can do this by finding the inflation rate as a decimal (5.6% = 0.056) and subtracting it from 1 to get the inflation-adjustment factor:

Inflation-adjustment factor = 1 - 0.056 = 0.944

Finally, we can calculate the inflation-adjusted wage increase by multiplying the wage increase by the inflation-adjustment factor:

Inflation-adjusted wage increase = $669 x 0.944 = $631.08

Therefore, the family's net gain in purchasing power is:

Net gain = Inflation-adjusted wage increase - Original budget

Net gain = $631.08 - $22,300

Net gain = -$21,668.92

So the family actually lost purchasing power due to the combination of the wage increase and inflation, as their budget did not keep pace with rising prices.

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Mastery: 40% Correct answers: 29/725351 5799A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?12 customers per 20 customers per 16 customers perhourhourhour15 customers perhourBAR Mar 10 303 US the subject of organizational culture has been most influenced by which behavioral science discipline? group of answer choices corporate strategy anthropology political science Write a word sentence for the question x - 14 = 52 True or false. This is a run-on sentence. Walking is one way to travel it was the first form of transportation. True FalsePLEASE ERGENT!!! question 8 of 10 the nurse is caring for a client who is hospitalized and has an indwelling urethral catheter. which finding confirms the client has developed an infection? When the perfectly competitive firm produces the quantity of output at which marginal revenue equals marginal cost? The acid should be handled with great care why? explain the contract bar doctrine. how would it influence the negotiation of the first labor agreement. Faces of Courage Photo AssignmentHomework Faces of Courage presents an argument in support of the New Sanctuary Movement. It is not, however, the only argument. Choose any four photographs from Faces of Courage, then re-order and re-caption the photographs to create a different argument about this movement.How does this new argument demand a different set of literacies? How does this argument propose a different political "movement"? if 254 ml of a 2.10 m sucrose solution is diluted to 850.0 ml , what is the molarity of the diluted solution? The lens and mirror equation is the same for both lenses and mirrors except that it uses a positive focal length for lenses and a negative focal length for mirrors.O TrueO False why do you think it takes a long time before troubled it projects are abandoned or brought under control? give an example to illustrate your answer. Analyse the sentence into clause (1) I shall go because he has invited me. in what ways does amazon simple storage service (amazon s3) object storage differ from block and file storage you consume one six-pack (6 x 12 oz.) of american ipa beer in two hours; how many standard drinks has your liver been able to break down when you finished these beers. find a equation of the line through the point(-6,-5) and (-1,1))a. y=6/5x + 11/5b. y=6/5x - 11/6c. y=6/5xor d. y=6/5x + 11/6 a corporation has 4000 shares, 10% preferred stock of $55.00 par preferred stock, and 8000 shares of common stock outstanding. the net income for the year is $250,000. calculate earnings per share. group of answer choices $55.00 $28.50 $31.25 Simplify to create an equivalent expression.4(11+4n)3(2n+9) Biologists conclude that sardine fish form tight clusters called "bait balls," such as the one shown in the image, because this behavior protects them from predators. Which evidence would support this conclusion? The role of African Americans in the US has been crucial to every period of American history. For over a hundred years they had been enslaved and disagreements over slavery culminated in the US's bloodiest war. When the union won three amendments were proposed which changed the lives of african americans nationwide: the 13th, 14th, and 15th amendments. Though these made change in the law, they did not have a huge impact on the american politics and society, it was not as momentous as it seemed.Evaluate the extent to which the ratification of the Fourteenth and Fifteenth Amendments to the Constitution marked a turning point in the history of United States politics and society. What changed and what stayed the same from the period immediately before the amendments to the period immediately following them?