What is the value of x?​

What Is The Value Of X?

Answers

Answer 1

Answer:

5.6

Step-by-step explanation:

We want to find the value of x, which is part of the segment that includes the length 10.

We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).

Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:

ab = cd

10 * x = 7 * 8

10x = 56

x = 56/10 = 5.6

The answer is 5.6.

What Is The Value Of X?
Answer 2

Each diagonal has two parts (a, b, c, and d).

The formula is ab = cd

We have the values:

a = 10

b = x

c = 8

d = 7

Put these in the formula:

10x = (8)(7)

Solve for x.

10x = (8)(7)

10x = 56

10x/10 = 56/10

x = 5.6

Therefore, the answer is x = 5.6

Best of Luck!


Related Questions

At 4:00am the outside temperature was -28 by 4:00pm.it had risen 38 degrees what was the temperature at 4:00pm

Answers

Answer:

10

Step-by-step explanation:


Elizabeth wants to determine the probability that she will be elected student body class president. She surveyed a random sample of 25 students. Based on this data, she has a 36% chance of being elected.

Now she wants to determine how accurate this probability may be. Which of the following would be the best method for her to do this?

Question 5 options:

Survey several more random samples of 25 students.


Recheck her math on the first survey for accuracy.


survey several more random samples of any size


Ask the same 25 students she originally surveyed to make sure they are convinced of their choices.

Answers

Answer:

My logical answer is repeat the first survey with different 25 different students

Step-by-step explanation:

The indicates 9 of 25 students surveyed chose her. To determine if her calculation is accurate she needs more survey(s).

How many surveys or the size of sample group could matter.  If she surveys 3 more people, that would not be very accurate.

If she surveys 100 student that would give a better idea of how many students  would vote for her, so I THINK she should repeat the first survey with the same number in the sample size, 25.

Pentagon FGHJK is similar to pentagon MPQST. K What is the value of x? A 16 cm B Not here C) 12.5 cm 18 cm G S 12 cm M P ​

Pentagon FGHJK is similar to pentagon MPQST. K What is the value of x? A 16 cm B Not here C) 12.5 cm

Answers

Answer:

I think it's a (16cm) ....

If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?

Answers

Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

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What is the area, in the square centimeters, of the triangle shown?

What is the area, in the square centimeters, of the triangle shown?

Answers

Solution

- The solution steps are given below:

\(\begin{gathered} \text{ The hypotenuse is 24.} \\ \text{ Since this is a 45-45-90 triangle, the sides AB and BC are equal and they are:} \\ AB\sqrt{2}=AC \\ AB\sqrt{2}=24 \\ \therefore AB=\frac{24}{\sqrt{2}}=12\sqrt{2} \\ \\ \therefore\text{ The area of the triangle:} \\ A=\frac{1}{2}\times BC\times AB\text{ \lparen}\frac{1}{2}\times base\times height) \\ \\ A=\frac{1}{2}\times12\sqrt{2}\times12\sqrt{2} \\ \\ A=144 \end{gathered}\)

Final Answer

The area is 144 square cm (OPTION A)

Solve the proportion.
3x/10=3/2

Answers

hello!

In order to solve a proportion, you should cross-multiply:-

\(\bf{\displaystyle\frac{3x}{10} =\frac{3}{2}}\)

Multiply 3x times 2 and 10 times 3:-

\(\bf{6x=30}\)

Divide both sides by 6:-

\(\boxed{\bf{x=5}}\)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Which expression is equivalent to 1/3(9x + 12) + 4x + 6?
A: 7x + 18
B7x + 10
C:13x x +6
D:13x + 18

Answers

The answer would be B because I did this equation on a sheet of paper and I did the parentheses first which led me to my final answer B.

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

What is an equivalent?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 1/3(9x + 12) + 4x + 6

Simplify the expression, then we have

⇒ 1/3(9x + 12) + 4x + 6

⇒ 3x + 4 + 4x + 6

⇒ 7x + 10

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

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Suppose two parallel planes Q and R are intersected by Plane X. Make a conjecture about the intersections of Planes Q and X and Planes R and X.

for my geometry class

Answers

The conjecture we can make about the intersections of planes is; If two planes intersect, it means that they can't intersect at more than one line.

How to state conjectures?

We are told that two parallel planes Q and R are intersected by Plane X. Now, Intersecting planes are planes that are not parallel, and they always intersect in a line. The two planes cannot therefore intersect at more than one line.

Now, we can conclude that the conjecture we can make about the intersections of planes Q and X and Planes R and Q is that;

If two planes intersect, then it means that they cannot intersect at more than one line.

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Simplify using the order of operations. 2+6*8=

Answers

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

calculation of
24 – 16 ÷ 4 x 2 + 3

Answers

Answer:

19

Step-by-step explanation:

BODMAS

Brackets.

Of

Division

Multiplication

Addition and

Subtraction

go according to the BODMAS rule and solve the division first

24-(16÷4)×2+3

Then solve the multiplication part

24-(4×2)+3

Now solve like a regular sum

24-8+3

16+3

19

The municipal swimming pool in Charlotte, North Carolina has three different ways of paying for individual open swimming. Nick is trying to decide which way to pay.
Early Pay: Pay $110.00 before Memorial Day; swim any number of days

Deposit Plus: $30.00 deposit plus $6.00 per day

Daily Pay: $9.00 per day


Write an equation for each method of payment. Write your equations in slope-intercept form so that x is the number of days and y is the cost.
a. Early Pay:
b. Deposit Plus:
c. Daily Pay:

the answer must be a y=mx+b equation for a b and c

Answers

The equations for early pay, deposit plus and daily pay is y = 110, y = 6x + 30 and y = 9x respectively.

What is an equation?

An equation is an expression showing the relationship between two or more numbers and variables.

Let y represent the total cost for swimming x numbers of days.

Early Pay: Pay $110.00 before Memorial Day; swim any number of days. Hence:

y = 110

Deposit Plus: $30.00 deposit plus $6.00 per day. Hence:

y = 6x + 30

Daily Pay: $9.00 per day. Hence:

y = 9x

The equation for early pay is y = 110

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Use cramers rule to solve the system below

2x -3y = -8
4x + 3y = -34

A) Let A be to coefficient matrix, fill in matrix a below


b) Find the determinant of matrix A.


C) Let Matrix X be the matrix used to solve for the x variable. Write this matrix below

D) find the determinant of matrix X


E) Let Matrix Y be the matrix used to solve for the 'y' variable. Write this matrix below:


F) find the determinant of matrix y

G) write your solution to the system above as a coordinate

Use cramers rule to solve the system below 2x -3y = -84x + 3y = -34 A) Let A be to coefficient matrix,

Answers

The solution to all parts from a to f is shown below.

A) Matrix A:

[ 2  -3 ]

[ 4   3 ]

B) The determinant of matrix A is:

det(A) = (2*3) - (-3*4) = 6 + 12 = 18

C) Matrix X:

[ -8  -3 ]

[ -34  3 ]

D) The determinant of matrix X is:

det(X) = (-8*3) - (-3*-34) = -24 - 102 = -126

E) Matrix Y:

[ 2  -8 ]

[ 4  -34 ]

F) The determinant of matrix Y is:

det(Y) = 2(-34) - (-8) (4) = -68 + 32 = -36

G) Using Cramer's rule, we can solve for x and y as follows:

x = det(X) / det(A) = -126 / 18 = -7

y = det(Y) / det(A) = -36 / 18 = -2

Therefore, the solution to the system is (-7, -2).

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1. Find the new value after the old value of 56 is increased by 8%.

Answers

Answer:

60.48

Step-by-step explanation:

Answer:51.52

Step-by-step explanation:

WILL MARK BRAINLEAST 100% 20 POINTS

Plz answer Honestly or I'll report your answer but only if it's wrong

-3 + { 1 – 3[20 + 2(-6 – 7)]}
SIMPLIFY ANSWER:

WILL MARK BRAINLEAST 100% 20 POINTSPlz answer Honestly or I'll report your answer but only if it's wrong-3

Answers

Answer:

16

Step-by-step explanation:

everything simplified is 16

Answer:

16

Step-by-step explanation:

To simplify, we have to start from the innermost parentheses and expand from there!

-3+{1-3[20+2(-6-7)]}  -6-7=-13

-3+{1-3[20+2(-13)]}    2*-13=-26

-3+{1-3[20-26]}          20-26=-6

-3+{1-3[-6]}                 -3*-6=18

-3+{1+18}                     1+18=19

-3+19                           -3+19=16

16

I really hope this helps!! Have a wonderful day C:

what is the area of the figure

what is the area of the figure

Answers

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.


PLEASE HELP !! ILL GIVE BRAINLIEST !!

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:the first one opn and qps

Step-by-step explanation:

Explain which event is more likely: rolling two dice and getting a total of 11, or, tossing a coin and getting three Heads in a row.

Answers

Answer:

The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the erroneous belief that if a particular event occurs more frequently than normal during the past it is less likely to happen in the future (or vice versa), when it has otherwise been established that the probability of such events does not depend on what has happened in the past. Such events, having the quality of historical independence, are referred to as statistically independent. The fallacy is commonly associated with gambling, where it may be believed, for example, that the next dice roll is more than usually likely to be six because there have recently been fewer than the usual number of sixes.

The term "Monte Carlo fallacy" originates from the best known example of the phenomenon, which occurred in the Monte Carlo Casino in 1913.[1]

Write an equation in standard form of the line that contains the point (-4,2) and is parallel to (has the same slope as) the line y=7x-5

Answers

Answer:

7x-y=-30

Step-by-step explanation:

The slope of any parallel equation has to have the same slope, so our equation will be in the format of y=7x+b

No you have to use this to solve for b

2 = -4*7+b

2=-28+b

30 = b

So our equation would be y = 7x+30

Now to convert into standard form we would have to put it intto the format of Ax + By = C

so -7x+y = 30

7x - y = -30

-4x + 7 > x - 13 Graph the solution to this inequality on the number line

Answers

Answer:

x < - 4

Step-by-step explanation:

Draw a number line and find -4 then graph it

-4x + 7 &gt; x - 13 Graph the solution to this inequality on the number line

4. Find the derivative of sin x from first principle.

Answers

Step-by-step explanation:

\(\text{By First Principle,}\)

\(\begin{align}\dfrac{d}{dx}\sin x&=\lim_{h\to0}\frac{\sin(x+h)-\sin x}{h}\\&=\lim_{h\to0}\frac{\sin x\cos h+\sin h\cos x-\sin x}{h}\\&=\lim_{h\to0}\left(\frac{\cos h-1}{h}\cdot\sin x\right)+\lim_{h\to0}\left(\frac{\sin h}{h}\cdot\cos x\right)\\&=\sin x\cdot\left(\lim_{h\to0}\frac{\cos h-1}{h}\right)+\cos x\cdot\lim_{h\to0}\left(\frac{\sin h}{h}\right)\\&=\sin x\cdot 0+\cos x\cdot1\\&=\cos x\end{align}\)

\(\color{blue}\text{Note: This proof is in fact circular without the geometric proof of the value of the two limits, but for the sake of this question it is done in this way.}\)

68 65 62 72 70 79 66 72 68 63 70 68 MeanMedianMode(s)Range

Answers

The mean, median, mode and range of the data are 68.58, 68, 68 and 17 respectively.

What are measures of central tendency?

A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data.

1. The mean of the data is;

mean = 62 + 63 + 65 + 66 + 68 + 68 + 68 + 70 +  70 + 72 + 72 + 79 / 12

mean = 68.58

2. The median of the data = 68

3. The mode of the data = 68

4. The range of the data = 17

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Math homework help please

Math homework help please

Answers

Answer:

answer is D

Step-by-step explanation:

(2^3)^-2= 2^(3)*(-2)
             = 2^-6
             = 1/2^6
             = 1/64

     

The expressions (a), (d), (e) and (f) have values less 1.

What are expressions?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Solving each expression :-

1) 4¹¹ / 4¹⁴        

= 4¹¹ × 4⁻¹⁴

= (4)¹¹⁻¹⁴

= 4⁻³

= 1 / 4³

2) (3⁵)² / 3⁸

= 3¹⁰ / 3⁸

= 3¹⁰⁻⁸

= 3²

= 9

3) 4⁻¹ × 4⁵

= 4⁻¹⁺5

= 4⁴

= 64

4) (2³)⁻²

= 2⁻⁶

= 1 / 2⁶

5) (5⁴)² x 5⁻¹¹

= 5⁸ x 5⁻¹¹

= 5⁻³

= 1 / 5³

6) (6⁻⁴ x 6⁶) / 6³

= 6² / 6³

= 1 / 6

Hence, the expressions (a), (d), (e) and (f) have values less 1.

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A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.

Answers

Answer:

what is the question because I don't understand what you mean

what’s the answer to this i don’t get i

whats the answer to this i dont get i

Answers

Answer:

32768x¹⁰

Step-by-step explanation:

by applying the law of indices

multiply the powers inside the parentheses with the power outside of the parentheses

then evaluating 2¹⁵ equals 32768

multiply by x¹⁰

the answer is 32768x¹⁰

The formula T=2pi sqrt(L/32) gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s?

Answers

The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.

As per the given data, the given formula is:

\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.

Where,

T is the time it takes for a pendulum to make one full swing back and forth (in seconds).

L is the length of the pendulum, in feet.

Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.

Substitute the given parameters into the formula will give;

\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)

Now divide both sides by 2π.

\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)

\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)

Then taking square on both sides.

\($ (0.3024)^2=\frac{L}{32} \\\)

0.09144576 = \($\frac{L}{32}\)

Later multiply both sides by 32.

2.9262 = L

The approximate value of the length of a pendulum:

L ≈ 3

Therefore, the length of a pendulum is about 3 feet.

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There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

Answers

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

What is the sum?

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.

Answers

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Before the search and collection of evidence, there must be _______.

A. Informed consent by the owner

B. A crime

C. A chain of custody

D. A search warrant

I’m stuck between D and B because law enforcement can conduct a search without a search warrant if there is consent by the owner. It is not C because that would be either during or after the collection of evidence.

Answers

Answer:

D) A search warrant

Step-by-step explanation:

A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.

Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.

By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.

please help its over due

please help its over due

Answers

Answer:

The one furthest to the right.

Use Taylor's Inequality to determine the number of terms of the Maclaurin series for e^x that should be used to estimate e^0.1 to within 0.0000001.

Answers

The number of terms of the Maclaurin series for eˣ that should be used to estimate \(e^{0.1}\) to within 0.00001 is 4.

Taylor’s inequality:

If Rn( x ) = 0

Rn(x)=0

Rn​(x)=0.

The given function is eˣ

Thus, all the derivatives of eˣ is eˣ itself.

Suppose that, the nth derivative of eˣ is eˣ

To estimate the value of \(e^{0.1}\) substitute the value of x as 0.1.

Note that Taylor series is called Maclaurin series when a=0.

Usually, Maclaurin series will starts with n=2.

Increase the value of n until the reminder is less than 0.00001.

By Taylor’s inequality,

If | \(f^{n}\)(0.1) | = \(e^{0.1}\)≤ M then | Rₙ(x) |≤\(\frac{M}{(n+1)!}\) \(|0.1-0|^{n+1}\)

Substitute the value of n as 2. Then,

\(|R2(x)|\)≤\(\frac{M}{(2+1)!} |0.1-0|^{2+1}\)

≤ \(\frac{e^{0.1}}{3!} |0.1|^{3}\)

≤ \(\frac{e^{0.1}}{6} 0.001\)

≤ 0.00018

Since \(|R2(x)|\) ≥ choose the value of n as 3. Then,

\(|R3(x)|\) ≤\(\frac{M}{(3+1)!} |0.1-0|^{3+1}\)

≤ \(\frac{e^{0.1}}{4!} |0.1|^{4}\)

≤ \(\frac{e^{0.1}}{24} 0.0001\)

≤ 0.0000046

Therefore, \(|R3(x)|\) ≤ 0.00001

That is, n=3 satisfies the inequality.

So, by adding the 4 terms (when n=0,1,2,and 3) of the Maclaurin series, it

is possible to estimate the value of \(e^{0.1}\) to within 0.00001.

Thus, the number of terms of the Maclaurin series for eˣ that should be used to estimate \(e^{0.1}\) to within 0.00001 is 4.

The number of terms of the Maclaurin series for eˣ that should be used to estimate \(e^{0.1}\) to within 0.00001 is 4.

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I just need to double check these and figure out 17 and 18 :) on a recreational boat, the location of emergency equipment such as life jackets, fire extinguishers, visual distress signals and the radio should be reviewed before departure with which persons? Central or "fringe" vision is the edge of other vision areas.Oa) TrueOb) False which is the equation of the line shown in the graph A.y = 3x + 1/2 B. y = 3x + 2 C. y = 3x + 1/2 D. y = 1/2x + 3 Check all of the following that form the lateral walls of the nasal complex___ Ethmoid boneSphenoid boneMaxillaInferior nasal conchaePerpendicular plates of the palatine bonesLacrimal bones If the past worked much like a videotape, it wouldnt allow us to:Group of answer choicesBe adaptive to our environmentRemember more informationForget useless informationErase memories Johnsons Catering has total assets of $105,000,000 an equity multiplier of 2.0, and net income of $4,800,000. What is the return on equity? an environmental engineer wants to examine the permeability of different soils to determine the best natural containment system to protect groundwater from pollutants. the engineer tests four different soil samples, places them into a wet column, and pours 50ml of water over each sample. the engineer records the total amount of water that moves through the column as well as the total amount of time for the water to fully percolate through the soil. the data from the study are shown below. Let f be the function with derivative defined by f'(x)=2+(2x 8) sin(x+3). How many points of inflection does the graph of fhave on the interval 0 What is the sequence number of the TCP SYN segment that is used to initiate the TCP connection between the client computer and gaia.cs.umass.edu? What statement best explains the impact of the dogs growling in this passage What kind of angles are 1 and 5 in the picture below? A sequence of 8 numbers is formed such that each term is the product of the two previous terms. Given to terms in the sequence, find the rest of the terms. what is 2 and 1/5 as a equivalent fraction if an accelerated stall occurs during a steep turn, in which direction would the aircraft tend to roll? Select the best answer for the question20. Shown here is the graph of the region described by which set of inequalities? What are the three parts of the missouri compromise. Question 7 of 50 - 12 : View Policies Current Attempt in Progress Sheffield, Inc. has 5100 shares of 6%, $100 par value, noncumulative preferred stock and 20400 shares of $1 par value common stock outstanding at December 31, 2021. There were no dividends declared in 2020. The board of directors declares and pays a $64600 dividend in 2021. What is the amount of dividends received by the common stockholders in 2021? O $64600 O $0 O $30600 O $34000 PLEASE ANSWER ASAP! Which of the following ratios will form a proportion with 2/3?A 6/15B 12/18C 9/12D 6/8 $18,389 is invested, part at 10 % and the rest at 8 % . If the interest earned from the amount invested at 10 % exceeds the interest earned from the amount invested at 8% by $621.02, how much is invested at each rate? (Round to two decimal places if necessary.)