What is the solution to the system of equations graphed below

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

The polynomial function from number 2 is:

f(x) = 4x^3 - 5x^2 + 2x - 1

To write this in standard form, we need to arrange the terms in descending order of degree:

f(x) = 4x^3 - 5x^2 + 2x - 1

f(x) = 4x^3 + (-5x^2 + 2x - 1)

f(x) = 4x^3 - 5x^2 + 2x - 1

So the standard form of the polynomial function is:

f(x) = 4x^3 - 5x^2 + 2x - 1

Answer:

2x+2y=52

x*y=120

Step-by-step explanation:

Answer:

D). The American writer and philosopher, Henry David Thoreau comments that by simplifying one's life, "the laws of the universe will appear less complex."

E). The adrenaline produced in our body during a confrontation leads to two possible responses by the person run away to safety, or stand one's ground and fight.

Explanation:

Punctuation marks are elucidated as the signs and symbols that function to enhance the readability of the sentences and indicate the grammatical construction of the readers. It assists them in understanding the meaning of the sentence more clearly and comprehensively.

In the given sentences, the last two sentence are incorrectly punctuated as they both wrongly employ comma(,) in it. Option D inappropriately punctuates comma(,) in the complex sentence while the last option falsely puts comma before conjunction 'or.' Thus, options D and E are the correct answers.

If you flip a coin once, you have a 1/2 chance of getting heads. You will get either a head or tail.

Flipping a coin twice gives you a 1/4 chance of getting 2 heads since you will either get a 2 heads, 2 tails, a tail then head, or a head then tails.

From this we can see its pretty likely the pattern will continue if our chances of continually getting a head keeps halfing. So we can represent it as 1/2^n (half to the power of n) where n is the number of times we flip the coin.

So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.

Here we have a probability problem.

We will find that the expected number of students that gets 5 heads in a row is 3.

First, we need to find the probability of getting 5 heads in a row.

We assume that the probability of getting heads in a flip is p = 1/2 = 0.5

Then for getting heads 5 times in a row, the joint probability will be the product of the individual probabilities, we get:

\(P = (0.5)*(0.5)*(0.5)*(0.5)*(0.5) = (0.5)^5 = 0.03125\)

Now if we have N persons, such that all of them flip a coin 5 times, the expected number of people that will get 5 heads in a row will be equal to the total number of people times the probability of getting 5 heads in a row.

N*P

So if in the class there are 100 students, we have N = 100

The expected number of students that will get 5 heads in a row is:

\(100*P = 100*0.03125 = 3.125\)

Because we can have a 0.125 of a student, we need to round this to the nearest whole number, which is 3.

So we should expect that 3 students will get 5 heads in a row.

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Answer:

C

Step-by-step explanation:

From the equation we know that the center is at (1, 0), which points immediately to choice C.  The graph in C is an ellipse with semimajor axis 4 and semiminor axis 3, which agrees with the equation.

Answer:

4.5 feet = 1.5 yards

Step-by-step explanation:

1 yard equals 3 feet

Then:

1 ----- 3

x -----4.5

\(x = 4.5/3 = 1.5 yards\)

Hope this helps

For the first image (the bigger one), the boat is on level +2, and has 4 objects.

Each float is equivalent to +1 for the boat level, and each anchor is equal -1.

In order to have 4 objects and a level of +2, the only combination is 3 floats and 1 anchor, so the level will be +1 +1 +1 -1 = +2.

For the first small picture, we have 2 floats in the boat, and its level will be 2 units above sea level (+2).

For the second image, the boat got two more floats, and it's going to go up, since more floats will raise the boat above sea level.

For the third image, the boat has 5 floats and 3 anchors, and it's located at 2 units above sea level (+2), since the 3 anchors will cancel out 3 floats, then it will remain the score of 2 floats, so +2 in total.

Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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Answer:

\( w = 7 \)

Step-by-step explanation:

Given:

m<FGK = (7w + 3)°

m<FGH = 104°

angle bisector of <FGH = GK

Required:

Value of w

SOLUTION:

Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:

m<FGH = 2*m<FGK

\( 104 = 2*(7w + 3) \) (substitution)

Divide both sides by 2

\( \frac{104}{2} = \frac{2*(7w + 3)}{2} \)

\( 52 = 7w + 3 \)

Subtract 3 from each side

\( 52 - 3 = 7w + 3 - 3 \)

\( 49 = 7w \)

Divide both sides by 7

\( \frac{49}{7} = \frac{7w}{7} \)

\( 7 = w \)

\( w = 7 \)

Answer:

\(a < - 12\)

Step-by-step explanation:

Answer:

square

Step-by-step explanation:

A square is a quadrilateral that will always have a 4-fold reflectional symmetry. It has four equal sides as a quadrilateral. Square has four equal 90 degrees angles. The diagonals of a square can bisect each other and its angles.

The quadrilateral having 4-fold reflectional symmetry is Square.

A quadrilateral is a 2-dimensional closed figure having 4 sides of straight lines. The quadrilateral has four sides, four vertices, and the sum of all four interior angles is 360 degrees.

We have the types of a quadrilateral are:

The square can be folded into half by folding over the vertical lines, folding over the horizontal lines, or folding over either diagonal.

A reflectional symmetry is always created by the crease of the fold in the square.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

(sin x - csc x) / cos x

Step 02:

Sine and Cosine

That is the solution expressed in terms of sine and cosine.

Answer:

Yes

Step-by-step explanation:

QM is parallel to NR so we can say

angle MQP = angle NRP and

angle QMP = angle PNR

(Alternate angles)

Question also shows that Line QM = Line NR

So the two triangles PMQ and PNR are congruent by Angle Side Angle (ASA)

The first three terms of the original arithmetic sequence are 2, 4, and 6.

Let d be the common difference of the original arithmetic sequence. Then we have:

x = 2 + d

y = 2 + 2d

If we decrease the second term by 1, we get:

2 + 2d - 1 = (2 + d)r

where r is the common ratio of the resulting geometric sequence. Simplifying, we get:

1 + d = (2 + d)r

r = (1 + d)/(2 + d)

Since the resulting sequence is geometric, we have:

y - 1 = yr

Substituting the expression for r, we get:

2 + 2d - 1 = (2 + 2d)(1 + d)/(2 + d)

Simplifying, we get:

2 + d = 2(1 + d)

d = 2

Substituting this value of d in the expressions for x and y, we get:

x = 4

y = 6

Therefore, the first three terms of the original arithmetic sequence are 2, 4, and 6.

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The shape that we obtained will be a triangle. Then the correct option is E.

In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. It has a polygonal basis and is a conic solid. There are n + 1 points, n + 1 sides, and 2n edges in a pyramid with an n-sided base. Every pyramid is dual in itself.

If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.

If the pyramid is separated by slicing a rectangular pyramid perpendicular to its base. Then the shape that we obtained will be a triangle.

Then the correct option is E.

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Answer:

Y-intercept: (0,-0.7)

X-intercept: (-1.2,0)

Explanation:

The Y-intercept is the spot where the line crosses the Y axis (the vertical axis). This always occurs where X=0. For this problem the Y value at this point is -0.7. So, for the coordinates (X,Y) X is 0 and Y is -0.7 so it is (0,-0.7)

The X-intercept is the spot where the line crosses the X axis (the horizontal axis). This always occurs where Y=0. For this problem the X value at this point is -1.2. So, for the coordinates (X,Y) X is -1.2 and Y is 0 so it is (0,-0.7)

Answer:

2 11/12

Step-by-step explanation:

1 1/2+ 2/3+3/4

The common denominator is 12

1 1/2*6/6+ 2/3*4/4+3/4*3/3

1 6/12 + 8/12  + 9/12

Add together

1 +23/12

1+12/12 +11/12

1+1+11/12

2 11/12

Answer:

3 x 10^4

Step-by-step explanation:

the decimal is behind the 3 (3.) and you move the decimal 4 times to the right

Answer:

x = 1       y = -4

Step-by-step explanation:

-7x + 3 = -x - 3

-7x = -x - 6

-6x = -6

x = 1

y = - (1) - 3

y = -1 - 3

y = -4

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

gate:

hg = 5 ft

shadow = 9ft

house

hh = ?

shadow = 54 ft

Step 02:

We must apply the theorem of thales.

hh * 9 ft = 5 ft * 54 ft

hh = (5 ft * 54 ft ) / 9 ft

hh = 270 ft ² / 9 ft = 30 ft

The answer is:

The house is 30ft tall.

Answer:

30112.50. 15x22x91.20+26.50

Answer:

he months where Jacy's hometown gets at least 10.5 centimeters of rainfall are July (x = 7) and all the months after July, which are August (x = 8), September (x = 9), October (x = 10), November (x = 11), and December (x = 12).

Step-by-step explanation:

The given function is:

f(x) = 0.2x^2 - 1.8x + 6.5

where x represents the number of months passed and f(x) represents the average monthly rainfall in centimeters.

To find the months where the average rainfall is at least 10.5 centimeters, we need to set the function f(x) greater than or equal to 10.5 and solve for x:

0.2x^2 - 1.8x + 6.5 ≥ 10.5

0.2x^2 - 1.8x - 4 ≥ 0

Multiplying both sides by 5, we get:

x^2 - 9x - 20 ≥ 0

We can factor the left-hand side of the inequality as:

(x - 5)(x - 4) ≥ 0

The solution to this inequality is the set of values of x that make the inequality true. This includes the intervals where:

(x - 5) ≥ 0 and (x - 4) ≥ 0, which gives x ≥ 5

OR

(x - 5) ≤ 0 and (x - 4) ≤ 0, which gives x ≤ 4

Thus, the months where Jacy's hometown gets at least 10.5 centimeters of rainfall are July (x = 7) and all the months after July, which are August (x = 8), September (x = 9), October (x = 10), November (x = 11), and December (x = 12).

Jacy's hometown gets at least 10.5 centimeters of rainfall in the months of September, September of the following year, September of the year after that, and so on.

An inequality is a relation between two numbers or expressions that are not equal.

It can show which of them is greater or smaller by using symbols like < or >. It can also be a statement of fact about the order relationship of quantities.

According to the question given,

We need to solve the inequality:

A(t) ≥ 10.5

Substituting the given function, we get:

2.3sin(π/6)t ≥ 10.5

sin(π/6)t ≥ 4.57.

Since the sine function has a maximum value of 1, the inequality is only satisfied when:

sin(π/6)t = 1

Solving for t, we get:

π/6t = π/2 + 2πk or π/6t = 3π/2 + 2πk

where k is any integer.

Simplifying each equation, we get:

t = 3 + 12k or t = 9 + 12k, where k is any integer.

Therefore, the only solution is given by:

t = 9 + 12k

where k is any integer.

Hence, Jacy's hometown gets at least 10.5 centimeters of rainfall in the months of September, September of the following year, September of the year after that, and so on.

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Answer:

do you have a picture

Step-by-step explanation:

Answer:

What is a perfect Square? List of perfect Squares

Step-by-step explanation:

... 4, 2 * 2. 9, 3 * 3. 16, 4 * 4. 25, 5 * 5. 36, 6 * 6. 49, 7 * 7. 64, 8 * 8. 81, 9 * 9. 100, 10 * 10. 121, 11 * ... 289, 17 * 17 ... 2500, 50 * 50 ... 5625, 75 * 75 ... 50176, 224 * 224 ... 129600, 360 * 360.

Answer:

10

Step-by-step explanation:

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10

The third option is correct.

High price value: 115 shares * $105.19 per share = $12,084.85

Low price value: 115 shares * $103.25 per share = $11,858.75

High price value: 30 shares * $145.18 per share = $4,355.40

Low price value: 30 shares * $143.28 per share = $4,298.40

The overall value at high price:

$12,084.85 + $4,355.40

= $16,440.25

The overall value at low price:

$11,858.75 + $4,298.40

= $16,157.15

In conclusion, the difference in overall gain or loss:

$16,440.25 - $16,157.15 = $280.10

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